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Vaughn, Christy H. "Middle School Mathematics Students' Perspectives on the Study of Mathematics." ScholarWorks, 2011. https://scholarworks.waldenu.edu/dissertations/980.
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This qualitative study addressed the perceptions toward the study of mathematics by middle school students who had formerly been in a remedial mathematics program. The purpose of the study was to explore the past experiences of nine students in order to determine what is needed for them to feel successful in mathematics. The conceptual framework of the study was grounded in philosophies of motivation, including achievement goal theory, self-worth theory, self-efficacy theory, expectancy-value theory, and attribution theory. The study used a phenomenological research design to answer the key research question, which focused upon the experiences of students and the meaning that was given to these experiences. Data were collected and analyzed from individual interviews with 9 students and a focus group session. The findings of the study revealed that participants' past experiences influenced their current attitudes about the study of mathematics. Perceptions of mathematical ability, history of success or failure with grades, and the influence of the teacher and peers in the learning environment most influenced students' attitudes about mathematics. Moreover, current feelings impact the degree to which a student puts forth effort in the study of mathematics, and the relationship with the mathematics teacher had the greatest impact on student attitudes. To improve the perceptions that students have about the study of mathematics, expanded professional development opportunities may bring increased awareness of students' perceptions of the study of mathematics, and develop remedial mathematics programs that remove the negative stigma associated with them. The research study could lead to social change as its purpose is to improve student achievement in mathematics through changes in the remedial mathematics program.
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Fisher, Diana Marie. "Introducing Complex Systems Analysis in High School Mathematics Using System Dynamics Modeling: A Potential Game-Changer for Mathematics Instruction." PDXScholar, 2016. http://pdxscholar.library.pdx.edu/open_access_etds/2950.
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Complex systems abound on this planet, in the composition of the human body, in ecosystems, in social interaction, in political decision-making, and more. Analytical methods allowing us to better understand how these systems operate and, consequently, to have a chance to intervene and change the undesirable behavior of some of the more pernicious systems have developed and continue to be enhanced via quickly changing technology. Some of these analytical methods are accessible by pre-college students, but have not been widely used at that level of education. Jay Forrester, the founder of one of the methodologies, System Dynamics (SD), used to study complex system behavior involving feedback, laments the lack of understanding of complex systems evident in short-sited decisions made by legislators -- global climate change and fiscal policies being cases in point.
In order to better prepare future decision makers with tools that could allow them to make more informed decisions about issues involving complex systems efforts have been underway to increase pre-college teacher understanding of the SD method. The research described in this dissertation introduces the mathematics education community to the value of System Dynamics modeling in pre-college algebra classes, indicates a path by which a traditional mathematics curriculum could be enhanced to include small SD models as a new representation for elementary functions studied in algebra classes, and provides an empirical study regarding conceptual understanding of functions by students.
Chapter 2 indicates the numerous beneficial learning outcomes that empirical studies have shown accompany model-building activities. Chapter 3 indicates the need for students to become familiar with complex systems analysis, how SD modeling (one method of complex systems analysis) aligns with the Common Core State Standards in Mathematics, and the work that has transpired over the past two decades using SD in K-12. Chapter 4 focuses on the importance of the concept of function in high school mathematics, some limitations of exclusive reliance on the closed form equation representation for mathematizing problems and the SD stock/flow representations of some of the elementary functions that are studied in algebra classes. Chapter 5 looks at the issues affecting two traditional teachers and the challenges they faced when trying to reintroduce SD modeling into their algebra classes. Chapter 6 explains the student component of the classroom experiment that was conducted by the teachers who are highlighted in Chapter 5.
The analysis of the results of student model-building activities in the two classroom studies that are part of the third paper did not indicate a statistical difference between the two experimental groups and the two control groups. Many environmental and scheduling issues conspired to adversely affect the experiment. However, positive outcomes were evident from the two pairs of students who were videotaped while they built the final multi-function drug model, the final student lesson in the experiment. Research focused on student outcomes is needed to further assess the strengths and weakness of the SD approach for student learning in mathematics.
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Holifield, Steven Lee. "Mathematics, technology, and gender: Closing gender differences with a high school web site." CSUSB ScholarWorks, 2001. https://scholarworks.lib.csusb.edu/etd-project/1871.
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This project focuses on using technology to help motivate young females to make use of a high school web site to lesson anxieties and increase interest in mathematics and the use of technology. Additionally, it acts as a model to create an educational web site that brings about better communication within a community.
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O'Kelley, Nancy G. "Teaching and learning through a brain-compatible approach: Implications for junior high school mathematics." CSUSB ScholarWorks, 1989. https://scholarworks.lib.csusb.edu/etd-project/544.
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Cheung, Pak-hong, and 張百康. "Statistical analysis of secondary school teachers' attitudes towards mathematics." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1991. http://hub.hku.hk/bib/B31976517.
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Barkley, Cynthia Vanderwilt. "Math lessons for Fontana High School software." CSUSB ScholarWorks, 1994. https://scholarworks.lib.csusb.edu/etd-project/935.
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Pienaar, Etienne. "Learning about and understanding fractions and their role in the high school curriculum." Stellenbosch : Stellenbosch University, 2014. http://hdl.handle.net/10019.1/86269.
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Thesis (MEd)--Stellenbosch University, 2014.ENGLISH ABSTRACT: Many learners, even at high school level, have difficulty with fractions and computations involving fractions. A report from the Department of Basic Education (DBE, 2012c: 15) has highlighted that the lack in basic fraction sense was one of the areas of concern that contributed to the low achievement in matriculation mathematics examinations in 2012. Fractions play an important role in our ever-advancing technological society. Many occupations today rely heavily on the ability to compute accurately, proficiently, and insightfully with fractions. High school learners’ understanding or the lack thereof is carried over to their tertiary studies and workplaces. It is for that reason that in this dissertation, the learning and understanding of fractions and their role in the high school curriculum are studied through a critical literature review. Fractions are compound constructs and can therefore be interpreted in many different ways, depending on the area of study within mathematics. The concept of fractions consists of five sub-constructs, namely, part-whole, ratio, operator, quotient, and measure (Behr, Lesh, Post, & Silver, 1983; Kieren, 1980). This thesis starts with discussion of the background of the study and its importance. Thereafter the elements that assist in the understanding of the fraction concept is discussed. Then, the five different sub-constructs are elaborated on, and how these different sub-constructs are used in the high school curriculum is demonstrated. The conclusion offers some implications for classroom teaching and mathematics teachers’ professional development.
AFRIKAANSE OPSOMMING: Talle leerders, tot op hoërskool vlak, ervaar probleme met breuke en berekeninge met breuke nie. ‘n Verslag van die Departement van Basiese Onderwys (DBE, 2012c: 15) het beklemtoon dat die gebrek aan basiese breuk vaardighede een van die oorsake was wat daartoe gely het dat die prestasie in die 2012 matriek wiskunde eksamen so laag was. Breuke speel ‘n belangrike rol in ons voortdurende tegnologiese voor uitgaande samelewing. Talle beroepe vandag is grootliks afhanklik van die akkurate, bekwame en insiggewende berekeninge van breuke. Hoërskool leerders se begrip, of die gebrek daaraan word oorgedra na hul tersiêre studies en werksplekke. Dit is vir dié rede dat hierdie tesis die leer en begrip van breuke en hul rol in die hoërskool kurrikulum bestudeer deur middel van ‘n kritiese literatuur studie. Breuke is ‘n saamgestelde konsep en kan vir hierdie rede op verskillende wyses geïnterpreteer word, afhangende van die area van studie in wiskunde. Die konsep van ‘n breuk bestaan uit vyf sub-konstrukte, naamlik deel-van-‘n-geheel, ‘n verhouding, operateur, kwosiënt en meting (Behr, Lesh, Post, & Silver, 1983; Kieren, 1980). Hierdie tesis begin met ‘n bespreking oor die agtergrond van hierdie studie en die belangrikheid daarvan. Daarna word die faktore wat bydra tot die verstaan van die breuk konsep. Dit word gevolg deur ‘n uitbreiding op die vyf verskillende sub-konstrukte en waar hierdie verskillende sub-konstrukte in die hoërskool kurrikulum voorkom. Die bevinding bied ‘n paar implikasies vir onderrig. Hierdie studie fokus nie op die ontwerp van enige take of ander leermateriaal vir ‘n intervensie program nie, maar konsentreer op die belangrike kwessies rondom breuke. My hoop is dat die bevindinge van hierdie studie implikasies inhou vir wiskunde onderwysers se professionele ontwikkeling deur hul te motiveer om nuwe leerondersteuningsmateriaal te ontwikkel en die aanbieding van breuke in klaskamers aan te pas sodat die begrip van breuke by leerders ten volle ontwikkel kan word.
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Bartlo, Joanna Rachel. "Why Ask Why: An Exploration of the Role of Proof in the Mathematics Classroom." PDXScholar, 2013. http://pdxscholar.library.pdx.edu/open_access_etds/1075.
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Although proof has long been viewed as a cornerstone of mathematical activity, incorporating the mathematical practice of proving into classrooms is not a simple matter. In this dissertation I aim to advance research on proof by addressing this issue. In particular, I explore the role proof might play in promoting the learning of mathematics in the classroom. I do this in a series of three articles (organized as three chapters), which are preceded by an introductory chapter. The introductory chapter situates the remaining chapters in the context of mathematics education research. In the second chapter I explore what the literature on proof tells us about what role proof might play in the promotion of learning in the mathematics classroom. In this chapter I also compare the ways in which proof is purported to promote learning in the mathematics classroom with the roles it is purported to play in the field of research mathematics. In the third chapter I look at empirical data to explore ways engaging in proof and proving might create opportunities for student learning. In particular, my analysis led me to focus on how identifying and reflecting on the key idea of a proof can create opportunities for learning mathematics. The final chapter is an article for a practitioner journal and discusses implications for practice based on the two preceding articles.
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Mallory, Kelli D. "Examining the effects of scheduled course time on mathematics achievement in high school students." Thesis, University of North Texas, 2007. https://digital.library.unt.edu/ark:/67531/metadc3644/.
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This study was designed to determine the effects of two different schedule types on mathematics achievement in public high school students. The instruments used included the Texas Assessment of Knowledge and Skills, given annually to all students in grades 3 through 11, the Texas Algebra I end-of-course examination, given as a district option to Algebra I students, and student final course grades as determined by classroom teachers. The study compared students' performance in these three areas during the 2004-2005 academic year in one suburban school district in North Texas. The study considers the type of schedule, either traditional or 8-block, between students in teachers' classes who teach the same course on both schedules concurrently. This study also investigates a qualitative aspect by including a short opinion survey of teachers' perceptions regarding student academic performance, teacher satisfaction and retention, and the ability to accomplish curricular goals. Findings from this research suggest course schedule does not have significant effects on student academic performance as measured using analyses of covariance comparisons with a 0.05 alpha-level, leading to the conclusion that a particular course schedule does not adversely impact student performance on academic measures. However, in some comparisons conducted within the course of the research, statistically significant results emerged. Qualitative data generated from a survey of teacher perceptions regarding the benefits of the two scheduling types, traditional 50-minute verses alternating day 8-block, suggested teachers preferred a traditional schedule over that of a block schedule design. Most teachers who responded to the survey instrument expressed the perception that traditional daily meeting classes allowed their students to be more successful. Additional research into the effects of scheduling types on students academic performance are suggested and would include examining larger population samples, a narrower study of specific courses within the field of mathematics, or an expansion of the content areas explored to fields such as science, languages, or non-academic core subjects, including the fine arts.
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Armstrong, Barbara Ellen. "The use of rational number reasoning in area comparison tasks by elementary and junior high school students." Diss., The University of Arizona, 1989. http://hdl.handle.net/10150/184910.
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The purpose of this study was to determine whether fourth-, sixth-, and eighth-grade students used rational number reasoning to solve comparison of area tasks, and whether the tendency to use such reasoning increased with grade level. The areas to be compared were not similar and therefore, could not directly be compared in a straightforward manner. The most viable solution involved comparing the part-whole relationships inherent in the tasks. Rational numbers in the form of fractional terms could be used to express the part-whole relationships. The use of fractional terms provided a means for students to express the areas to be compared in an abstract manner and thus free themselves from the perceptual aspects of the tasks. The study examined how students solve unique problems in a familiar context where rational number knowledge could be applied. It also noted the effect of introducing fraction symbols into the tasks after students had indicated how they would solve the problems without any reference to fractions. Data were gathered through individual task-based interviews which consisted of 21 tasks, conducted with 36 elementary and junior high school students (12 students each in the fourth, sixth, and eighth grades). Each interview was video and audio taped to provide a record of the students' behavioral and verbal responses. The student responses were analyzed to determine the strategies the students used to solve the comparison of area tasks. The student responses were classified into 11 categories of strategies. There were four Part-Whole Categories, one Part-Whole/Direct Comparison Combination category and six Direct Comparison categories. The results of the study indicate that the development of rational number instruction should include: learning sequences which take students beyond the learning of a set of fraction concepts and skills, attention to the interaction of learning and the visual aspects of instructional models, and the careful inclusion of different types of fractions and other rational number task variables. This study supports the current national developments in curriculum and evaluation standards for mathematics instruction which stress the ability of students to problem solve, communicate, and reason.
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Cheung, Chi-kit Fritz, and 張志傑. "Thinking styles and achievement in mathematics and language learning." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B31962841.
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McVicker, Diana Lynn. "The development of curriculum for a high school course integrating drafting and mathematics." CSUSB ScholarWorks, 1997. https://scholarworks.lib.csusb.edu/etd-project/1333.
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Towers, Julie Margaret. "Teachers' interventions and the growth of students' mathematical understanding." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/NQ34635.pdf.
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Nagisetty, Vytas. "Using Music-Related Concepts to Teach High School Math." PDXScholar, 2014. https://pdxscholar.library.pdx.edu/open_access_etds/1958.
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The purpose of this research was to test a strategy which uses music-related concepts to teach math. A quasi-experimental study of two high school remedial geometry sections was conducted during a review lesson of ratio, proportion, and cross multiplication. A pretest was given to both groups. Then, Group A received normal textbook instruction while Group B received the treatment, Get the Math in Music, which is an online activity involving proportional reasoning in a music-related context. Afterwards, a posttest was given to both groups. Pretest and posttest scores were used to compare gains in subject knowledge between the groups. Then a second evaluation of the treatment was conducted. Group A received the treatment and took a post-posttest. Score gains for Group A before and after receiving the treatment were compared. After these tests, all participants took a survey to determine if their appreciation of math grew as a result of the treatment. Finally, interviews were conducted to provide better understanding of the results. The research questions of this study were: to what extent does the integration of Get the Math in Music improve students' academic performance in a remedial geometry review of ratio, proportion, and cross multiplication, and to what extent does participation in the Get the Math activity improve students' attitudes towards math? My hypotheses were that students would perform significantly better on a subject knowledge test after receiving the treatment, and that all students would have a more positive attitude towards math after receiving the treatment. Quantitative results did not triangulate to support or refute these hypotheses. Greater improvement from pretest to posttest was statistically correlated with Group B, which was the group first receiving the treatment. But later, between posttest and post-posttest Group A did not show statistically significant greater gains after receiving the treatment. Surveys results showed that students did not necessarily like math any more after the treatment. Interviews revealed that several of these students were apathetic to geometry in particular, if not to math in general. The case of one student's improvement suggested that positive teacher-student relationships are more effective than any particular method to increase academic performance and student engagement. Survey results were consistent with earlier psychological studies claiming teenagers care about music. Additional studies in the future on the merits of using music to teach high school math would be useful. Claims that proportional reasoning is challenging were supported. It would be beneficial to evaluate the treatment in an Algebra or Pre-Algebra setting when students first study proportions.
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Banks, Alberta Diahann. "Effects of Embedded Study-Skills Instruction on High School Students' Attitudes Toward Mathematics." ScholarWorks, 2015. https://scholarworks.waldenu.edu/dissertations/50.
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The target school used embedded study skills in Algebra I classes to improve attitudes toward mathematics. The purpose of this sequential, explanatory mixed-methods study was to examine the effect of embedded study-skills instruction on students' attitudes toward mathematics. Metacognitive theory was used for this study's framework. Participants were 28 Grade 9 and 10 students who repeated Algebra I. Quantitative data from the Attitudes Toward Mathematics Inventory assessed students' pre- and post-instruction attitudes toward mathematics in 4 domains. Data were analyzed using 4 independent samples t tests for students who did and did not receive embedded instruction. Qualitative data were collected through a semi structured group interview to explore 6 students' perceptions on how the intervention affected their attitudes toward mathematics. Open and axial coding strategies were used to develop themes. Quantitative results indicated no significant differences in students' attitudes toward mathematics, while qualitative findings supported the use of the intervention to develop students' positive attitudes in mathematics. A recommendation was that educators undergo professional learning opportunities to increase awareness of the impact of embedded study skills on student learning and how to use this instruction in lessons. Positive social change may occur if educators are provided with insight in embedded study skills that could improve students' attitudes toward mathematics, which ultimately may encourage students to study higher level mathematics and to pursue mathematics-based careers.
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Leung, Wai-ping, and 梁慧萍. "Mathematics anxiety among high and low achievers in a Hong Kong secondary school." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2005. http://hub.hku.hk/bib/B3567197X.
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Coulombe, Steven Louis. "Using Blackboard technologies as an instructional supplement for teaching high school chemistry." CSUSB ScholarWorks, 2001. https://scholarworks.lib.csusb.edu/etd-project/1907.
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This project attempts to use an on-line telecommunication supplement to extend the boundary of the classroom beyond the limits of time and space in order to improve communication and extend the reach of the classroom.
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Adabor, James Kofi. "An Investigation into Elementary School Teachers' and High School Mathematics Teachers' Attitudes Towards the Use of Calculators in Mathematics Instruction and Learning: A Study of Selected Schools in Ghana." Ohio : Ohio University, 2008. http://www.ohiolink.edu/etd/view.cgi?ohiou1210367584.
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Jones, Jeanette L. "Linear equation solving by high school students with mild disabilites." Virtual Press, 2000. http://liblink.bsu.edu/uhtbin/catkey/1167796.
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This study compared the effects of two methods of instruction on the mathematical algorithms for solving linear equations employing as participants high school students identified as having mild-mental handicap. The students received instruction on the mathematical algorithms for solving linear equations. Implementing a multielement design, the participants were taught with different methods on a random schedule, alternating between using manipulative materials and not using them. Correct response data from daily criterion-referenced tests were tabulated and graphed to allow visual inspection of both treatment effects. Comparisons were made to determine solve linear equations seen by the increase in test scores from the baseline data on each student's graph. The method using manipulative materials was shown to have a greater effect on the female participant.Department of Special Education
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O'Prey, Evelyn A. "Effects of CAI on the achievement and attitudes of high school geometry students." CSUSB ScholarWorks, 1991. https://scholarworks.lib.csusb.edu/etd-project/735.
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Brown, Roger George, and rogergbrown@mac com. "The impact of the introduction of the graphics calculator on system wide 'high stakes' end of secondary school mathematics examinations." Swinburne University of Technology, 2005. http://adt.lib.swin.edu.au./public/adt-VSWT20051117.121210.
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There has been widespread interest in the potential impact of the graphics calculator on system wide 'high stakes' end of secondary school mathematics examinations. This thesis has focused on one aspect, the way in which examiners have gone about writing examination questions in a graphics calculator assumed environment. Two aspects of this issue have been investigated. The first concerns the types of questions that can be asked in a graphics calculator assumed environment and their frequency of use. The second addresses the level of skills assessed and whether with the
introduction of the graphics calculator has been associated with an increase in difficulty as has been frequently suggested. A descriptive case study methodology was used with three examination
boards, the Danish Ministry of Education, Victorian Curriculum and Assessment Authority and the International Baccalaureate Organization.
Four distinct categories of questions were identified which differed according to the potential for the graphics calculator to contribute to the solution of the question and the freedom the student was then given to make use of this potential. While all examination boards made use of the full range of questions, the tendency was to under use questions in which required the use of the calculator for their solution. In respect to the level of skills assessed, it was found that both prior to and after the introduction of the graphics calculator, all three examination boards used question types that primarily tested the use of lower level mathematical skills. With exceptions, where graphics calculator active questions have been used, the tendency has been to continue to ask routine mechanistic questions. In this regard, there is no evidence of the introduction of the graphics calculator being associated with either lowering or raising of the level of the mathematical skills assessed.
For all cases studied, the graphics calculator was introduced with minimal change to the curriculum and examination policies. The role of the graphics calculator in the enacted curriculum was left implicit. The resulting examinations were consistent with the stated policies. However, the inexperience of some examiners and a general policy of containment or minimal change enabled examiners to minimise the impact of the introduction of the graphics calculators on assessment.
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Rodrigues, Losada Ricardo J. "Teachers' perceptions of spreadsheet algebra programs as curriculum materials for high school mathematics in Namibia." Thesis, Stellenbosch : Stellenbosch University, 2012. http://hdl.handle.net/10019.1/71846.
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Thesis (MEd)--Stellenbosch University, 2012Includes bibliography
ENGLISH ABSTRACT: The use of information and communications technologies (ICTs) in the form of spreadsheet algebra programmes (SAPs) is important in the professional development of high school mathematics teachers. This is in line with The Namibian government‟s Vision 2030 in which ICT skills and competencies are regarded as core elements of living and participating in the 21st century. ICTs are also considered to be fundamental to the development of a dynamic knowledge-based economy (KBE) through the Education and Training Sector Improvement Program (ETSIP). ETSIP‟s aim is to embed ICT at all levels of the education system. It also aims to integrate the use of ICTs as tools in the delivery of curriculum and learning and in so doing, lead to a marked improvement in the quality of the learning and teaching process across all levels. Education has a key role in achieving Vision 2030. The aim of this research was to investigate mathematics teachers‟ perceptions of SAPs as curriculum materials in selected Namibian secondary (high) schools. This research adopted a qualitative methodology, which in this instance was a case study. The sample population consisted of five teachers from Okamu (pseudonym) secondary school in the Ohangwena Region of Namibia. Four of them had been teaching mathematics at different levels in the mentioned school for a period of four years, and one of them was teaching physical science. Three methods of data collection were used. The first two were semi-structured interviews and focus group interviews based on teachers‟ experiences using SAPs. The third method was an audio taped observation of a lesson taught by one of the teachers,. This research provides evidence about teachers‟ perceptions regarding time concerns and constraints with regards to the SAPs and the use of the SAPs. The teachers showed willingness and enthusiasm to use SAPs on linear and quadratic functions in their teaching. Some of the teachers became more aware of the epistemic dimensions associated with mathematical and algebraic symbols. Interview data reveal that the teachers had not considered these dimensions when teaching with the usual paper-and-pen format. The research also provides evidence of a teacher‟s early vision about the use of spreadsheets as an instrument to teach linear functions. This teacher did not consider any epistemic value for the instrumented spreadsheets techniques, or that they might contribute to a deeper understanding of the linear functions. His concern was focused more on getting the learners to acquire computer skills, such as learning how to use spreadsheets. It is recommended that in-service professional development about ICT integration into mathematics teaching be offered. This might help teachers to learn how their knowledge and skills could be used in the classroom more effectively in order to save time. It is also suggested that professional development programmes be designed to stimulate and promote teachers‟ willingness to develop an understanding of the characteristics of ICTs such as SAPs and their uses. Lastly, it is recommended that new SAPs be designed in order to deepen the understanding of algebra at the secondary level.
AFRIKAANSE OPSOMMING: Die gebruik van inligting- en kommunikasietegnologieë (IKT's) in die vorm van sigblad-algebra-programme (SAP's) is belangrik vir die professionele ontwikkeling van hoërskoolwiskunde-onderwysers. Dit is in pas met die Namibiese regering se visie vir 2030, Vision 2030, waarin IKT-vaardighede en -bevoegdhede beskou word as kernelemente van die lewe in en deelname aan die 21ste eeu. IKT's word ook beskou as grondliggend aan die ontwikkeling van ‟n dinamiese kennisekonomie (KE) deur middel van die Verbeteringsprogram vir die Onderwys- en Opleidingsektore (ETSIP). ETSIP het as oogmerk om IKT op alle vlakke van die onderwysstelsel vas te lê. Dit het ook ten doel om die gebruik van IKT's as hulpmiddele te integreer in die lewering van kurrikulum en leer en sodoende ‟n duidelike verbetering in die gehalte van die onderrig-en-leerproses oor alle vlakke heen tot gevolg te hê. Onderwys het ‟n sleutelrol te speel by die bereiking van Vision 2030. Die doel van hierdie navorsing was om wiskundeonderwysers se persepsies van SAP's as kurrikulummateriaal in geselekteerde Namibiese sekondêre (hoër-) skole te ondersoek. Hierdie navorsing het ‟n kwalitatiewe metode gevolg, in hierdie geval ‟n gevallestudie. Die proefgroep het bestaan uit vyf onderwysers van die sekondêre skool Okamu (skuilnaam) in die Ohangwena-streek van Namibië. Vier van hulle het reeds vier jaar lank wiskunde op verskillende vlakke in die betrokke skool gegee en een van hulle het fisiese wetenskap gegee. Drie metodes is ingespan om data in te samel. Die eerste twee was semigestruktureerde onderhoude en fokusgroeponderhoude gebaseer op onderwysers se ervaringe ten opsigte van die gebruik van SAP's. Die derde metode was ‟n klankopname van ‟n waarnemingsessie van ‟n les wat deur een van die onderwysers gegee is. Hierdie navorsing getuig van onderwysers se persepsies ten opsigte van tydskwessies en -beperkinge met betrekking tot die SAP's en die gebruik van die SAP's. Die onderwysers het ‟n gewilligheid en geesdrif geopenbaar om by lineêre en kwadratiese funksies SAP's in hul onderrig te gebruik. Party onderwysers het meer bewus geraak van die epistemiese dimensies in verband met wiskundige en algebraïese simbole. Onderhouddata onthul dat die onderwysers nie hierdie dimensies in ag geneem het toe hulle met die gewone papier-en-pen-formaat klasgegee het nie. Die navorsing bevestig ook ‟n onderwyser se aanvanklike insig oor die gebruik van sigblaaie as 'n instrument om lineêre funksies te onderrig. Hierdie onderwyser het nie die epistemiese waarde vir die geïnstrumenteerde sigbladtegnieke in ag geneem nie, of dat hulle sou kon bydra tot ‟n grondiger begrip van die lineêre funksies nie. Sy belangstelling was eerder daarop gefokus om die leerders sover te kry om rekenaarvaardighede, soos om sigblaaie te kan gebruik, te verwerf. Daar word aanbeveel dat indiens- professionele ontwikkeling oor IKT-integrasie in wiskundeonderrig aangebied word. Dit sal onderwysers moontlik help om te leer hoe hulle kennis en vaardighede meer doeltreffend in die klaskamer gebruik kan word om tyd te bespaar. Daar word ook voorgestel dat professionele ontwikkelingsprogramme ontwerp word, ter stimulering en bevordering van onderwysers se bereidwilligheid om ‟n begrip te ontwikkel van die kenmerke en gebruike van IKT's soos SAP's. Laastens word daar aanbeveel dat nuwe SAP's ontwerp word om die verstaan van algebra op sekondêre vlak te verdiep.
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Carle, Marlene Lovelace. "A Qualitative Study Describing the Relationship and Mediating Factors Between Junior High School Mathematics Achievement and Computer Expenditures." Thesis, North Texas State University, 1985. https://digital.library.unt.edu/ark:/67531/metadc332018/.
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Using a case study approach, this investigation focused on the nature of the relationship between computer related expenditures and student achievement in mathematics, with consideration given to the mediating factors influencing the relationship. Some of these factors included the types of computers and software being used, the objectives of computer instruction, teacher preparation in the use of the computer as an instructional tool, the amount of time individual students had access to a computer during the school year, and the socioeconomic status of pupils. Two of the twenty-five largest school districts in Texas were selected as the subjects for this study. Numerical data were collected from existing documents including general ledgers, bid tabulations, test score tables, and records showing the numbers of students participating in the free and reduced price lunch programs. Specific information regarding the implementations of the instructional programs was gathered through observations and 2 interviews with principals/ teachers, and students in four— teen junior high schools in each of the two school district. The districts exhibited more differences than similarities in the approaches to using computers for instruction in mathematics. One district, for about two hundred dollars per student, purchased a prepared, copyrighted, and patented program consisting of mini-computers and sixteen terminal remote labs used exclusively for the remediation of students two or more years behind in achievement in mathematics. The other district purchased microcomputers at a cost of about ten dollars per student and introduced a three to six weeks unit on computer programming into the eighth grade mathematics curriculum. Although neither district demonstrated clear patterns of increased achievement, tendencies did emerge which would suggest some linkage between concentration of the program and achievement. Other factors emerging from the fortythree taped interviews indicated that achievement test scores of students should not be the only measure of the worth of the computer-assisted instructional programs used in these school districts.
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Colby, Glenn T. "Students' Epistemological Beliefs of Mathematics When Taught Using Traditional Versus Reform Curricula in Rural Maine High Schools." Fogler Library, University of Maine, 2007. http://www.library.umaine.edu/theses/pdf/ColbyGT2007.pdf.
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Sloan, Stella. "A two and three dimensional high school geometry unit implementing recommendations in the National Council of Teachers of Mathematics curriculum and evaluation standards." CSUSB ScholarWorks, 1993. https://scholarworks.lib.csusb.edu/etd-project/647.
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Van, Raden Stephanie Justine. "The Effect of Role Models on the Attitudes and Career Choices of Female Students Enrolled in High School Science." PDXScholar, 2011. https://pdxscholar.library.pdx.edu/open_access_etds/370.
Full textAbstract:
Girls who have high aptitude in math are not entering careers related to science, technology, engineering, and math (STEM fields) at the same rate as boys. As a result, female students may have fewer employment opportunities. This study explores one potential way to reduce the gap between male and female career aspirations and choices. Specifically, it looks at the impact of bringing women with careers in math- and science-related fields into high school classrooms as role models. The study uses surveys to measure pre- and post-visit perceptions of science and scientific work as well as student's short-term interest in math and science courses. In addition to these surveys, student comments were collected about the role model visits. While the overall study yielded little statistical significance, it also indicated that the role model visits had some impact on student perceptions and choices and raised questions that warrant further study.
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Scannell, Stephen Godfrey. "Next Generation Science Standards and Physics First: a Case Study of High School Teachers' Beliefs and Practices." PDXScholar, 2019. https://pdxscholar.library.pdx.edu/open_access_etds/5002.
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This dissertation is a case study of a school district in the Pacific Northwest that developed three-year high school science curricula using a Physics First course sequence (Physics, Chemistry, Biology), with the crosscutting concept Patterns as the central theme of the courses. The purpose of the study was to examine the impact of the implementation of the 9th grade course, Patterns Physics, on teacher practice and beliefs about science teaching and determine whether this new approach facilitated teacher classroom practices and beliefs congruent with those expressed in A Framework for K-12 Science Education (NRC, 2012) and the Next Generation Science Standards (NGSS Lead States, 2013). Results from this study indicate that the implementation of Patterns Physics positively impacted teacher confidence in teaching the NGSS science and engineering practices. Professional development that provided teachers multiple opportunities to engage with the curriculum--in the role of a student, in professional discussions with colleagues, and over several years were critical to support a change in practice consistent with three-dimensional (3D) teaching called for by the Framework and NGSS. Teacher participants viewed the Patterns PCB (Physics, Chemistry, and Biology) sequence as an appropriate course sequence, with strong agreement that a 9th grade physics course needs to be tailored to the needs of students, such as added support for students with minimal mathematics skills. The NGSS, with an emphasis on 3D learning (science content knowledge, crosscutting concepts, and science and engineering practices), had a significant positive impact on instructional practice.
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Leung, Wai-hung, and 梁偉雄. "The effects of contextualized, collaboration-based instruction on students' beliefs of school mathematics, and problem-solvingapproaches and performance." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B31962154.
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Mackin, Freeman Daniel. "An Investigation of the Impact of High School Student Fine Arts Course Accumulation on Mathematics Course Achievement." PDXScholar, 2019. https://pdxscholar.library.pdx.edu/open_access_etds/5041.
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Science, technology, engineering, and mathematics (STEM) educational achievement is vital to economic competitiveness in the United States and abroad. Despite a concerted effort, the US lags well behind many similarly developed nations. Research suggests that the integration of fine arts education into traditional STEM curriculum (STEAM) boosts academic achievement in STEM subjects and closes gaps between low- and high-socioeconomic status students. Justifications for STEAM programs are based, however, on the unexamined assumption, for one, that fine arts courses instill creative and critical thinking skills that can be transferred to STEM subjects. The present study explores the impact of taking fine arts courses on mathematics achievement in high school. Using the High School Longitudinal Study of 2009 and multi-level regression modeling, this study provides evidence that credit accumulation in fine arts courses relates positively to advancing past Algebra II in high school. Additionally, this estimated impact is much greater in magnitude for low-SES students than for their high-SES peers.
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Enoch, Sarah Elizabeth. "Impact of Teachers' Planned Questions on Opportunities for Students to Reason Mathematically in Whole-class Discussions Around Mathematical Problem-solving Tasks." PDXScholar, 2013. https://pdxscholar.library.pdx.edu/open_access_etds/1063.
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While professional developers have been encouraging teachers to plan for discourse around problem solving tasks as a way to orchestrate mathematically productive discourse (Stein, Engle, Smith, & Hughes, 2008; Stein, Smith, Henningsen, & Silver, 2009) no research has been conducted explicitly examining the relationship between the plans that teachers make for orchestrating discourse around problem solving tasks and the outcomes of implementation of those plans. This research study is intended to open the door to research on planning for discourse around problem solving tasks.
This research study analyzes how 12 middle school mathematics teachers participating in the Mathematics Problem Solving Model professional development research program implemented lesson plans that they wrote in preparation for whole-class discussions around cognitively demanding problem solving tasks. The lesson plans consisted of the selection and sequencing of student solutions to be presented to the class along with identification of the mathematical ideas to be highlighted in the student solutions and questions that would help to make the mathematics salient. The data used for this study were teachers' lesson plans and the audio-recordings of the whole-class discussions implemented by the teachers.
My research question for this study was: How do teachers' written plans for orchestrating mathematical discourse around problem solving tasks influence the opportunities teachers create for students to reason mathematically? To address this research question, I analyzed the data in three different ways. First, I measured fidelity to the literal lesson by comparing what was planned in the ISAs to what was actually took place in the implemented debriefs. That is, I analyzed the extent to which the teachers were implementing the basic steps in their lesson (i.e. sharing the student work they identified, addressing the ideas to highlight and the planned questions). Second, I analyzed the teachers' fidelity to the intended lesson by comparing the number of high-press questions in the lesson plans (that is, questions that create opportunities for the students to reason mathematically) to the number of high-press questions in the implemented discussion. I compared these two sets of data using a linear regression analysis and t-tests. Finally, I conducted a qualitative analysis, using grounded theory, of a subset of four teachers from the study. I examined the improvisational moves of the teachers as they addressed the questions they had planned, building a theory of how the different ways that teachers implemented their planned questions affected the opportunities for their students to reason mathematically around those planned questions.
My findings showed that it was typical for the teachers to implement most of the steps of their lesson plans faithfully, but that there was not a statistically significant correlation between the number of high-press questions they planned and the number of high-press questions they asked during the whole-class discussions, indicating that there were other factors that were influencing the frequency with which the teachers were asked these questions that prompted their students to reason mathematically. I hypothesize that these factors include, but are not limited to, the norms in the classrooms, teachers' knowledge about teaching mathematics, and teachers' beliefs about mathematics. Nevertheless, my findings did show that in the portions of the whole-class discussions where the teachers had planned at least one high-press question, they, on average, asked more high-press questions than when they did not plan to ask any.
Finally, I identified four different ways that teachers address their planned questions which impacted the opportunities for students to reason mathematically. Teachers addressed their questions as drop-in (they asked the question and then moved on as soon as a response was elicited), embedded (the ideas in the question were addressed by a student without being prompted), telling (the teacher told the students the `response' to the question without providing an opportunity for the students to attempt to answer the question themselves) and sustained focus (the teacher sustained the focus on the question by asking the students follow-up questions).
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Lawrence, Tracy Jean. "Assessing high school students' conceptions of the size, age, and distance of astronomical objects." CSUSB ScholarWorks, 2004. https://scholarworks.lib.csusb.edu/etd-project/2525.
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The purpose of this research study is to identify student conceptions about the size, distance, and age of various objects associated with space science. After reviewing the literature related to this study, there seems to be a need for continued research at the high school level in the field of astronomy conceptualization.
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Hoffenberg, Rebecca Sue. "An Investigation into Teacher Support of Science Explanation in High School Science Inquiry Units." PDXScholar, 2013. https://pdxscholar.library.pdx.edu/open_access_etds/1103.
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The Framework for K-12 Science Education, the foundation for the Next Generation Science Standards, identifies scientific explanation as one of the eight practices "essential for learning science." In order to design professional development to help teachers implement these new standards, we need to assess students' current skill level in explanation construction, characterize current teacher practice surrounding it, and identify best practices for supporting students in explanation construction. This multiple-case study investigated teacher practice in eight high school science inquiry units in the Portland metro area and the scientific explanations the students produced in their work samples.
Teacher Instructional Portfolios (TIPs) were analyzed with a TIP rubric based on best practices in teaching science inquiry and a qualitative coding scheme. Written scientific explanations were analyzed with an explanation rubric and qualitative codes. Relationships between instructional practices and explanation quality were examined.
The study found that students struggle to produce high quality explanations. They have the most difficulty including adequate reasoning with science content. Also, teachers need to be familiar with the components of explanation and use a variety of pedagogical techniques to support students' explanation construction. Finally, the topic of the science inquiry activity should be strongly connected to the content in the unit, and students need a firm grasp of the scientific theory or model on which their research questions are based to adequately explain their inquiry results.
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White, Richard Neal. "A high school physics instructor's website: Design, implementation, and evaluation." CSUSB ScholarWorks, 2002. https://scholarworks.lib.csusb.edu/etd-project/2062.
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In order to test the ability of the Internet to supplement classroom instruction, an instructor-authored WWW site crashwhite.com was developed for two Berkeley High courses: Advanced Placement (AP) physics, and college-prep physics class. The website was intended to supplement classroom instruction by making classroom materials available to students and parents outside the classroom, and to facilitate increased teacher-parent, teacher-student, and student-student communication.
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Nasar, Audrey Augusta. "A Pre-Programming Approach to Algorithmic Thinking in High School Mathematics." Thesis, 2012. https://doi.org/10.7916/D8BG2M1M.
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Given the impact of computers and computing on almost every aspect of society, the ability to develop, analyze, and implement algorithms is gaining more focus. Algorithms are increasingly important in theoretical mathematics, in applications of mathematics, in computer science, as well as in many areas outside of mathematics. In high school, however, algorithms are usually restricted to computer science courses and as a result, the important relationship between mathematics and computer science is often overlooked (Henderson, 1997). The mathematical ideas behind the design, construction and analysis of algorithms, are important for students' mathematical education. In addition, exploring algorithms can help students see mathematics as a meaningful and creative subject.
This study provides a review of the history of algorithms and algorithmic complexity, as well as a technical monograph that illustrates the mathematical aspects of algorithmic complexity in a form that is accessible to mathematics instructors at the high school level. The historical component of this study is broken down into two parts. The first part covers the history of algorithms with an emphasis on how the concept has evolved from 3000 BC through the Middle Ages to the present day. The second part focuses on the history of algorithmic complexity, dating back to the text of Ibn al-majdi, a fourteenth century Egyptian astronomer, through the 20th century. In particular, it highlights the contributions of a group of mathematicians including Alan Turing, Michael Rabin, Juris Hartmanis, Richard Stearns and Alan Cobham, whose work in computability theory and complexity measures was critical to the development of the field of algorithmic complexity.
The technical monograph which follows describes how the complexity of an algorithm can be measured and analyzes different types of algorithms. It includes divide-and-conquer algorithms, search and sort algorithms, greedy algorithms, algorithms for matching, and geometric algorithms. The methods used to analyze the complexity of these algorithms is done without the use of a programming language in order to focus on the mathematical aspects of the algorithms, and to provide knowledge and skills of value that are independent of specific computers or programming languages.
In addition, the study assesses the appropriateness of these topics for use by high school teachers by submitting it for independent review to a panel of experts. The panel, which consists of mathematics and computer science faculty in high school and colleges around the United States, found the material to be interesting and felt that using a pre-programming approach to teaching algorithmic complexity has a great deal of merit. There was some concern, however, that portions of the material may be too advanced for high school mathematics instructors. Additionally, they thought that the material would only appeal to the strongest students. As per the reviewers' suggestions, the monograph was revised to its current form.
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Chen, Hui-Zhen, and 陳惠珍. "A Study on Room Escape Teaching for High School Mathematics Courses." Thesis, 2019. http://ndltd.ncl.edu.tw/cgi-bin/gs32/gsweb.cgi/login?o=dnclcdr&s=id=%22107NCHU5507014%22.&searchmode=basic.
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Miele, Anthony. "The Effects of Number Theory Study on High School Students' Metacognition and Mathematics Attitudes." Thesis, 2014. https://doi.org/10.7916/D8XP733J.
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The purpose of this study was to determine how the study of number theory might affect high school students' metacognitive functioning, mathematical curiosity, and/or attitudes towards mathematics.
The study utilized questionnaire and/or interview responses of seven high school students from New York City and 33 high school students from Dalian, China. The questionnaire components served to measure and compare the students' metacognitive functioning, mathematical curiosity, and mathematics attitudes before and after they worked on a number theory problem set included with the questionnaire. Interviews with 13 of these students also helped to reveal any changes in their metacognitive tendencies and/or mathematics attitudes or curiosity levels after the students had worked on said number theory problems.
The investigator sought to involve very motivated as well as less motivated mathematics students in the study. The participation of a large group of Chinese students enabled the investigator to obtain a diverse set of data elements, and also added an international flavor to the research.
All but one of the 40 participating students described or presented some evidence of metacognitive enhancement, greater mathematical curiosity, and/or improved attitudes towards mathematics after the students had worked on the assigned number theory problems. The results of the study thus have important implications for the value of number theory coursework by high school students, with respect to the students' metacognitive processes as well as their feelings about mathematics as an academic discipline.
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Seroto, S. M. "Mathematical concepts of the traditional building of the Limpopo Province that can be use to teach high school mathematics / N.M. Seroto." Thesis, 2012. http://hdl.handle.net/10394/14418.
Full textAbstract:
There are several factors in our environment such as cultural artefacts, murals,
our tradition, buildings and language that can be used to teach mathematics in
context or used as examples to the learners but which we are unaware of or
which we do not consider as appropriate. People interact with the world and
attempt to comprehend, interpret, and explain it using numbers, logic and spatial
configuration which are culturally shaped. These are the ways in which we
produce mathematical knowledge. This has helped to stimulate other
mathematicians on the African continent to Africanise mathematics teaching.
Mathematics is viewed as a human activity as all people of the world practice
some form of mathematics. In teaching mathematics meaningfully and relevantly,
the teacher, the learner, their experiences, and their cultural backgrounds
become extremely important factors to create conducive learning environments.
This study was set out to explore the mathematical concepts of the traditional
buildings of the Limpopo Province, South Africa and the teaching of high school
mathematics. The rationale for the study was to explore the extent to which
mathematical shapes or concepts of the traditional buildings of the Limpopo
Province could be used to enhance the teaching and learning of mathematics in
context. The research questions that guided the exploration were:
1. Which ma1thematical concepts embedded in the traditional buildings of the
Limpopo Province can be used to teach high school mathematics?
2. What challenges do high school mathematics educators face in
contextualising their teaching?
3. Which suggestions can be made to assist mathema1tics educators to
contextualise their teaching?
The population for the study was made up of the builders of the circular houses
from the Vhembe (Tshivenda), Mopani (Xitsonga) and Sekhukhune (Sepedi)
people of the Limpopo Province and Grade 12 mathematics teachers of the Limpopo Province. The total population was 255, (68 circular houses builders
and 187 Gradle 12 mathematics teachers.) The three districts were chosen
because they are classified as iargely rural as compared to other districts in the
Limpopo Province. They also have many indigenous buildings which were used
to collect data for this study.
The data were gathered through observations, interviews with the builders and
questionnaire 1for the educators. For analysis, descriptive statistical analysis,
narrative, and inductive analysis were used to analyse the da1ta.
Although the builders who participated in this study could not explain using the
mathematical language how they constructed the buildings, various mathematical
concepts and symbols such as triangles, squares, parallelog1rams, kites, circles,
rhombi, rectangles, trapeziums, translations, reflections, rotations, similarities,
congruency, tessellations were discovered. These mathematical concepts can be
used by both Educators and learners to enhance the teaching and learning of
mathematics.
Further evidence emerged that teaching mathematics with meaning and relating
it to the real world makes mathematics more relevant and meaningful. It was
suggested that teacher training courses and programmes should include also
courses on culture, society, the relationship between mathematics and culture,
and the history of evolution of mathematical concepts. Contextualised learning
activities shoulcd be designed to encourage learning mathematics concepts for
understanding.
In-service courses at Colleges of Education and Universities should include the
application of ethnomathematics and indigenous knowledge systems in their
teacher training programmes.Thesis (PhD (Mathematics) North-West University, Mafikeng Campus, 2012
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吳芬華. "How Senior High School Mathematics Teacher Explore Mathematics reading text into Mathematical Teaching To Enhance Professional Development：A Case Study." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/14693601674396060489.
Full textAbstract:
碩士臺北市立教育大學
數學資訊教育學系數學資訊教育教學碩士學位班
101
The research aims to study a senior high school mathematics teacher’s professional development obtained from participating in exploring reading text of mathematics into mathematical teaching activities. The case teacher in the study is a male, who is teaching at senior high school for five years. The researcher observed how the case teacher in this community of practice to acquire the related concepts of mathematics reading, enriched own pedagogical content knowledge, explored mathematics reading text into mathematics teaching. Moreover, through the case teacher’s professional background, interviews, reflections, ideas, and feedback, etc., to discuss the changes of his professional development as well as the factors that affected these changes. The research method adopted in the study is qualitative case study research. The researcher participated in various meetings and activities of the research team, based on observation, semi-structured interviews, meeting notes, and gathering relevant data, for analysis and discussion. The study found that through exploring mathematics reading text into mathematical teaching activities, it would enable the case teacher to gain mathematical and pedagogical knowledge, and understand students' cognitive knowledge. Under the research team’s planning and following the development stages of mathematics reading text, which included preparation, development and implementation, the case teacher completed the development of mathematics teaching text. From the initial design of the cosine theorem worksheet to mathematical induction curriculum module, the process enabled the case teacher to improve his professional development. The research result shows that the studying and sharing about mathematics reading materials, cooperative learning and the feedback of peer groups, experts’ advice, as well as the case teacher's reflection, are factors that influence the change of teacher's professional development. The case teacher deepened his knowledge of mathematics reading and strengthened the power of developing mathematics reading text through studying mathematics reading related data. He clarified his ideas and initiated his reflection by discussing and interacting with peer groups in meetings to complete the mathematics reading text of mathematical induction into mathematics teaching activities and to enhance his professional ability.
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Chen, Yi-Jie, and 陳怡潔. "Using Mathematics Grounding Activities in Teaching Junior High School Students Mathematics: An Action Research Study." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/wzh97s.
Full textAbstract:
碩士國立臺北科技大學
技術及職業教育研究所
106
This study is an action research on using mathematics grounding activities in teaching junior high school mathematics. The purposes of this study are to investigate the course design principles and implementation process for the mathematics grounding activities, and to investigate students’ motivation and learning outcome in math. This research was carried out with 46 seventh grade students for seven weeks. The students were engaged in the "Geometric Splint Experiment" activity for the "square root and Bishops theorem" unit and the "rectangular puzzle" activity for the "factor decomposition" unit. The main findings of this study can be summarized as follows: 1.In selecting mathematics ground activities during curriculum planning, instructors need to consider whether the activites can achieve the learning objectives for each unit. 2.Students can be introduced to the mathematical grounding activities beforee class. The instructor can provide extra activites for high-achieving students. 3.Mathematics grounding activites has increased estudents learning motivation and learning outcome. Students were positive about the activies.
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XIE, ZONG-YU, and 謝宗昱. "The Study of Teaching Effectiveness of Incorporating Mathematic History into Mathematics of Senior Vocational High School." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/4y47cr.
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碩士國立高雄師範大學
數學系
106
Abstract This study uses「Experimental research」which main purpose is to compare the learning effectiveness of Vector coordinate representation of the second grade students of senior vocational high school with two teaching methods: 「Incorporating mathematic history into mathematics」and「Traditional teaching」. The other purpose is to explore whether the learning attitude changes of the experimental group student. This research used nonequivalent pre-test post-test designs. The research subjects were 67 artistic students in two different classes of the second grade students of senior vocational high school. The researcher used Non-random way and separated them into two groups. One is the 「Experimental group」and the other class is the 「Control group」. The researher edited teaching materials with course outline and Implemented 「Incorporating mathematic history into mathematics」in the experimental group, and implemented「Traditional teaching」 in the control group without using self-made teaching materials. The teaching experimental process were six periods. The experimental unit is「Coordinate representation of vector」. After the experiment, the data collection was completed and analyzed in two parts: "quality" and "quantity". As to the the part of "quality", the researcher can explore the experience and the feeling of the experimental group students after accepting the「Incorporating mathematic history into mathematics」 through the feedback questionnaire and interview records. As to the the part of "quantity", the researcher used pre-test and post-test and used statistical methods to compare the mathematics learning achievement of the experimental group and the control group students with two different teaching methods, After this teaching experiment, the conclusions are the following: 1. The result of the mathematics learning achievement of the experimental group studetns who were accepted 「Traditional teaching」and「Incorporating mathematic history into mathematics」has no significant differences and has no positive influence. 2. The result of the mathematics learning achievement of the control group studetns who accepted 「Traditional teaching」has no significant differences and positive influence either. 3. The result of the learning attitude of the experimental group students who accepted the「Incorporating mathematic history into mathematics」has positive influence and significant differences. 4. The result of the learning attitude of the control group studetns who accepted 「Traditional teaching」has positive influence but no significant differences. 5. Most of the experimental group students agree that「Incorporating mathematic history into mathematics」can help them generate interests in learning. 6. Most of the experimental group students agree the teaching material of 「Incorporating mathematic history into mathematics」and are curious about it.
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Cho, Ming-Huei, and 卓明惠. "A case study of Discussion high school mathematics teacher in statistics teaching." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/49474055013767928407.
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碩士國立彰化師範大學
科學教育研究所
99
The purpose of this study is to explore the relationship between the proficiency of high school mathematics teachers’ content knowledge of confidence interval and their teaching behavior. Subjects are two high school math teachers with 10 years and 25 years teaching experiences. Data collection included two weeks of teaching videotapes, classroom observation, interviews and teaching materials. Results of this study indicate that even the case teachers have had taken statistics-related courses in the universities, they don’t fully understand the concept development process of confidence interval and confidence level. With the lack of content knowledge, the case teachers rely on the teaching presentation model provided in the textbooks and rarely using practical examples for students to explore, to do trial and error and to refine the process to form the knowledge. As a result, their teaching are mainly doing the application of formulas to obtain the confidence interval and avoiding discussions on the meaning of the concept. Furthermore, they don’t have a clear picture of the future development and application of the concept. Inevitably, the teaching focusing only on the operational aspect provides little room for students to do meaningful learning. Thus it is in urgent to offer more opportunities for in-service teachers to promote their content knowledge proficiency.
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Fisher, Kate. "Aboriginal students' high school mathematics experiences: stories of opportunities and obstacles." Thesis, 2010. http://hdl.handle.net/1828/3103.
Full textAbstract:
The mathematics education experiences of Aboriginal high school students has
received little research attention. Ten urban Aboriginal high school students in Victoria, BC facilitated a narrative qualitative inquiry. Bandura’s (1986) four sources of selfefficacy and social cognitive theory were used to examine the students’ stories.
Performance mastery experiences were found to dominate the formation of students’
sense of competence. Experiences were centrally impacted by students’ affective
domain. The importance of relationality and an inter-connection between all four sources
of self-efficacy are also noted. Implications for future research and practice are provided.
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"A Comparative Study Of Directional Connections In Popular U.S. And Chinese High School Mathematics Textbook Problems." Thesis, 2020. https://doi.org/10.7916/d8-zs4w-8372.
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Mathematical connection has received increasing attention and become one major goal in mathematics education. Two types of connections are distinguished: (a) between-concept connection, which cuts across two concepts; and (b) within-concept connection, which links two representations of one concept. For example, from the theoretical probability to experimental probability is a between-concept connection; generate a graph of a circle from its equation is a within-concept connection. Based on the directionality, unidirectional and bidirectional connections are discerned. Bidirectional connection portrays a pair of a typical and a reverse connection. The benefits of connections, especially bidirectional connections, are widely endorsed. However, researchers indicated that students and even teachers usually make unidirectional connections, and underlying reasons may be the curriculum and cognitive aspects. Previous studies have reported differences in learning opportunities for bidirectional connections in U.S. and Chinese textbook problems, but few have explored the high school level.
This study addressed this issue by comparing the directionality of mathematical connections and textbook-problem features in popular U.S. (the UCSMP series) and Chinese (the PEP-A series) high school mathematics textbook problems. The results indicated that the between-concept condition and unidirectional connections dominated textbook problems. Mathematical topic, contextual feature, and visual feature were most likely to contribute to different conditions of connections. Overall, problems dealing with quadratic relations from Chinese textbooks presented a vigorous network of more unique and total between-concept connections with balanced typical and reverse directions than the U.S. counterparts. Problems from U.S. textbooks showed a denser network of (a) within-concept connections in two topics and (b) between-concept connections in probability and combinatorics than the Chinese counterparts, but still exhibited an emphasis on specific concepts, representations, and directionality. The study reached a generalized statement that the new-to-prior knowledge direction was largely overlooked in textbook problems. The results have implications for adopting graph theory and Social Network Analysis to visualize and evaluate mathematical connections and informing mathematics teachers and textbook authors to pay attention to the new-to-prior knowledge connection.
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"中學數學教師的學科知識." Thesis, 2005. http://library.cuhk.edu.hk/record=b6073962.
Full textAbstract:
Based on the findings above, it is recommended that the future study should explore further how teachers' problem schemas influence their teachings by means of classroom observation. The second recommendation is to study problem schema and other subject matter knowledge in one research to see a comprehensive view. It is also recommended that the development of teachers' problem schemas and subject matter knowledge should be strengthened in teacher education.Teacher knowledge was an active research area in the last twenty years. It focuses on all kinds of knowledge that teacher knows related to teaching, The study explored subject matter knowledge in teacher knowledge. From the past researches on subject matter knowledge, we find that researchers often focus on teachers' understanding of mathematical concepts and procedures. This is the knowledge of "knowing that". The past researches on subject matter knowledge didn't touch on the knowledge of "knowing how". Based on the theory of problem schema in psychology, we studied teacher's problem schemas, which are related to problem solving.
The study shows that there are various types of problem schemas among secondary school mathematics teachers. They include: "schema organized by mathematics concept ", "schema organized by conclusion or unknown", "schema organized by basic figure ", "schema organized by mathematical structure", "schema organized by general mathematical problem solving strategies". Compared to non-expert teachers, expert teachers have a wider set of problem schemas. Expert teachers not only have the schemas non-expert teachers have, but also have the schemas non-expert teachers don't have. "Schema organized by mathematical structure", "schema organized by general mathematical problem solving strategies" are two of them. Generally speaking, expert teachers possess more profound problem schemas. Hence we see a relationship between problem schemas and teaching expertise.
To explore possible relationship between problem schema and teaching, we first identified the figure of schemas secondary school mathematics teachers have. Then we examined the differences between expert teachers and non-expert teachers to explore the relationship between teachers' problem schemas and their teaching context. In this study, secondary school mathematics teachers were chosen for case studies. Qualitative research methods, including questionnaire and interview were adopted to find out teacher's problem schemas.
韓繼偉.
論文(哲學博士)--香港中文大學, 2005.
參考文獻(p. 154-169).
Adviser: Ngai-ying Wong.
Source: Dissertation Abstracts International, Volume: 67-01, Section: A, page: 0122.
Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web.
Electronic reproduction. [Ann Arbor, MI] : ProQuest Information and Learning, [200-] System requirements: Adobe Acrobat Reader. Available via World Wide Web.
Electronic reproduction. Ann Arbor, MI : ProQuest Information and Learning Company, [200-] System requirements: Adobe Acrobat Reader. Available via World Wide Web.
Abstracts also in English.
School code: 1307.
Lun wen (Zhe xue bo shi)--Xianggang Zhong wen da xue, 2005.
Can kao wen xian (p. 154-169).
Han Jiwei.
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Chang, Yu-Chih, and 張毓智. "A Study of Hybrid Instructional Model for Mathematics Teaching in Junior High School." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/80074713902851467478.
Full textAbstract:
碩士國立高雄師範大學
資訊教育研究所
100
Hybrid instruction which combined the advantages of traditional and web-based instructions is a sort of emerging teaching model in recent years. Although the processes of preparing for the hybrid instruction require plenty of time, the main purpose of teaching is to increase students’ learning effect. The issues of students’ learning satisfaction with hybrid instruction and students’ acceptability of hybrid instructional environment are worthy of investigation. The subjects in this study are third-grade students from two classes at Chung Lun Junior High School in Fongshan district, Kaohsiung City. A questionnaire survey is conducted in the research. The processes of this study are including planning for instruction and organizing for teaching content, confirmation of research subjects, collection of survey, and data analysis. This study received 62 samples from the two classes. There were 4 incomplete survey and eliminated from the study, resulting in a 93.54% response rate. The results of data analysis indicate that there are no differences between different classes, and gender on the satisfaction of learning activities with hybrid instruction. Among the tests of satisfaction with hybrid instruction, the item of I like this learning activity very much obtains the highest satisfaction (91%), while the item of the instructional content for me is suitable receives the lowest satisfaction (66%). Despite the fact that the preliminary works of hybrid instructional model are complex, this model could be a reference case for future hybrid instruction as long as all the previous preparations are sufficient.
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Kuo, Hsiang-Miao, and 郭香妙. "An Action Research Study on the Improvement of Junior High School Mathematics Teaching." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/36086800292778600389.
Full textAbstract:
碩士國立彰化師範大學
科學教育研究所在職進修專班
90
In this study, the researcher primarily applied action research to investigate the effects of Student’s Team Achievement Division on students’ learning attitude, performance and classroom atmosphere. Twenty-three junior high school students enrolled in a class in Taipei were recruited as participants for this experimental study. The measurements used in this study included Classroom Atmosphere Scale, Learning Attitude Scale, weekly reports, grade reports, observation sheets, teaching videos, and interview data from the researcher and students. Results of data analysis for the research indicated that cooperative learning significantly improved students’ learning motivation in math class and students felt less anxious than before. As for the classroom atmosphere, the data also reported excellent and positive results. Moreover, after taking cooperative learning activities, students enjoyed discussion in class, realized that discussion activities could improve their learning performance, and they hoped these activities could be kept going for the whole semester since they have learned how to present in public and how to discuss with others when they were unable to resolve the math questions by themselves. As an end result, students’ performance in the exams significantly improved. As for students’ reaction to the learning environment, the results showed that students liked to go to math resources classrooms more than general classrooms because the resources classrooms got more equipment, more math instruments, and larger spaces. By the way, students did not need to rearrange the seats. The seats were arranged for group discussions and the students really liked it. The results suggest some potential applications for the educational practice. First, the researcher appreciated student’s performance in different ways, not focusing on resolving problems only. Second, the researcher also emphasized group discussions, not teacher-centered activities only. Finally, the researcher realized how important it is for students to learn basic concepts, not repeat practicing exercises only. Also, teachers should offer some practical materials for students to think and discuss actively.
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Lin, Hung-Chieh, and 林鴻傑. "A Study on PowerPoint Mouse Mischief in Teaching Mathematics in Junior High School." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/htuqe8.
Full textAbstract:
碩士國立臺北科技大學
技術及職業教育研究所
99
With the advancement in information technology, new teaching gadgets have been used continuously in teaching of various subjects. Under tight budgets, however, information teaching system, Electronic Whiteboard or IRS feedback system has not been extensively applied in teaching so far. The purpose of this study was to investigate whether PowerPoint with its new add-in function “Mouse Mischief” has allowed teachers under tight budgets to create content-rich teaching materials. These teaching contents along with Mouse Mischief enabled students to actively participate in mathematics learning by mouse or hand-writing pads in class, which could improve their achievement and positive attitude in mathematics learning. The purposes of this study were as follows: 1. To analyze the effect of appling PowerPoint with Mouse Mischief to mathematics class on junior high students’ achievement. 2. To investigate the effect of appling PowerPoint with Mouse Mischief to mathematics class on junior high students’ attitudes. This was a quasi-experimental study of 64 eighth grade students in New Taipei City. A total of 33 students were selected as the experimental group and were taught mathematics by “PowerPoint with Mouse Mischief.” The controlled group, which is consisted of 31 students, was taught mathematicswith “PowerPoint” alone. The treatment lasted a total of six weeks. The results show that: 1) using “PowerPoint with Mouse Mischief” can boost junior high school students’ mathematics learning achievement; and 2) using “PowerPoint with Mouse Mischief” is helpful to improve junior high school students’ attitudes toward mathematics.
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Shafiq, Hasan. "Examining the Effects of Gender, Poverty, Attendance, and Ethnicity on Algebra, Geometry, and Trigonometry Performance in a Public High School." Thesis, 2013. https://doi.org/10.7916/D8WM1MNN.
Full textAbstract:
Over the last few decades school accountability for student performance has become an issue at the forefront of education. The federal No Child Left Behind Act of 2001 (NCLB) and various regulations by individual states have set standards for student performance at both the district and individual public and charter school levels, and certain consequences apply if the performance of students in an institution is deemed unsatisfactory. Conversely, rewards come to districts or schools that perform especially well or make a certain degree of improvement over their earlier results. Albeit with certain conditions, the federal government makes additional education money available to the states under NCLB. While testing is nothing new in American public education, the concept of district/school accountability for performance is at least relatively so. In New York City, where New York State Regents Examinations (NYSRE) have been a measure of student performance for many years, scores on these tests are low, often preventing students from receiving course credit, which in turn results in failure to graduate on schedule. In addition, rates of graduation from public high schools are low. The city and state have kept data on student performance broken out by a number of factors including socioeconomic status, ethnicity, attendance, and gender which point to an achievement gap among different groups. This study investigates a series of those factors associated with the mastery of high school Algebra, Geometry, and Trigonometry. This study concerns itself specifically with the effect that gender, socioeconomic status, attendance, and ethnicity may have on student achievement in a mathematics course and on standardized tests, specifically the NYSRE, an annual rite of passage for students in grades 9 through 11. This research considered and ran tests on data gathered from a single large New York City high school. In this study, a 12 two-way (between-groups) univariate analyses of variance (ANOVAs) were conducted to assess whether there were differences in students' mathematics achievement scores by gender, ethnicity, attendance, and family socio-economic status (SES). In addition, three Pearson correlation analyses were conducted to determine whether there was a correlation among Integrated Algebra, Geometry, and Algebra II/Trigonometry unit examination scores and Regents scores. Nine Pearson correlation analyses were conducted to determine whether there was a correlation between Regents scores and mathematics achievement unit examination scores. A correlation was run between each mathematics achievement score with the Regents score from each subject. Six two-way (between-groups) ANOVA were also conducted to assess whether there were difference in students' mathematics achievement among Black males, Black females, Hispanic males, and Hispanic females. Data were gathered, merged, and transferred into a Statistical Package for the Social Sciences (SPSS) 19.0 (IBM, 2010) for analysis. The findings indicate that attendance and family SES have a meaningful relationship to mathematics achievement in the New York City public high school which was the subject of this investigation. On the other hand, gender and ethnicity showed no relationship to students' mathematics achievement. As an implication of this research, school policies must focus more on the achievement gap of students from low-SES families and must encourage students to maintain good attendance. Students should have access to different forms of academic interventions that go beyond after-school or Saturday tutoring; academic intervention services; community counseling or mediation; or peer intervention or peer counseling through which students learn basic mathematics skills from each other to achieve college readiness.
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Simelane, Trust Wiseman. "A qualitative study exploring South African high school teachers' beliefs about teaching critical thinking in mathematics." Thesis, 2017. https://hdl.handle.net/10539/24041.
Full textAbstract:
Master of Science in Mathematics Education
2017This study focused on mathematical teachers’ beliefs about teaching critical thinking and how these beliefs informed teaching mathematics in practice. Two sets of interviews were conducted that investigated what conceptions of critical thinking, teaching strategies and tasks, and assessment methods, teachers believed promoted critical thinking in their mathematical classroom. Qualitative methods of inductive analysis were used to analyse teachers’ responses based on grounded theory where categories were constructed and re- organised into themes. The study found that teachers had a limited understanding of critical thinking and their beliefs about teaching critical thinking skills in mathematics did not appear to be reflected in practice. These newly qualified teachers demonstrated that they need assistance in developing and using teaching strategies and tasks that promote critical thinking skills in mathematics.
MT 2018
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Sibaya, Duduzile Christinah. "Learners with learning difficulties in mathematics : attitudes, curriculum and methods of teaching mathematics." Thesis, 2012. http://hdl.handle.net/10210/6965.
Full textAbstract:
D.Ed.The aim of this theses is to find out whether there is any relationship between learners' attitudes and learning difficulties in mathematics: To investigate whether learning difficulties in mathematics are associated with learners' gender. To establish the nature of teachers' perceptions of the learning problem areas in the mathematics curriculum. To find out about the teachers' views on the methods of teaching mathematics, resources, learning of mathematics, extra curricular activities and multiracial schools