Academic literature on the topic 'Mathematics - Study and teaching (High school)'

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Journal articles on the topic "Mathematics - Study and teaching (High school)"

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Hameed, Gulnaz, and Intzar Hussain Butt. "Teaching Mathematics at High School: A Comparison of Public and Private School Teachers’ Practices." Global Social Sciences Review III, no. IV (December 30, 2018): 127–41. http://dx.doi.org/10.31703/gssr.2018(iii-iv).09.

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This paper compares the mathematics teaching practices of private and public high school teachers in Punjab. Two hundred public and 180 private school teachers were selected by using random sampling technique from district Sahiwal. The quantitative data was collected by using a Likert type 58 questionnaire items. The questionnaire consisted of six parts: mathematic teaching practices, mathematic effective students’ instruction, mathematic resources availability, use of mathematic resources, use of instructional techniques and evaluation techniques used by the teachers. The study indicated that private school teacher teach in cooperative environment, individual concentration, small group discussion and encourage students in mathematic classrooms as compared to public school teachers. They write equations to represent concept and then engage students in problem solving and practice computational skill as compared to public school teachers. Public school teachers highly believe that text book is primary instructional tool for teaching. They practice difficult problem by drill in their classes. Although Public school teachers are well trained, qualified and experienced yet they emphasize rote learning which is a big hurdle in conceptual understanding. Provision of material resources in public schools is high. Mathematic curriculum document, manipulative, measuring devices, and spreadsheets, worksheet calculators, teacher guide and computers as teaching resources are available in public schools. Whereas, helping books and calculators’ availability is better in private schools.
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Nguyen Van, Quyen. "Developing Maths self-study capacity among High school students." Journal of Science Educational Science 65, no. 9 (September 2020): 180–90. http://dx.doi.org/10.18173/2354-1075.2020-0104.

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Self-study capacity is an important studying factor, especially maths, to promote learning efficiency. The research objective is topropose specific measures for developing self-studying capacity in Maths of high school students. The result proposes four measures for developing self-studying ability in Mathematics for high school students, including Motivating students' learning activities; Train skills and learning methods suitable for students' Math self-study tasks; Design learning tasks as a teaching method, in which gradually increasing difficulty for students to practice solving tasks; Practice evaluating the solutions and correcting mistakes in the process of solving math problems. The test results show that these four measures are highly necessary and feasible in the practice of teaching Mathematics in high schools. The last part of the study discusses each measure, the issues that need to be considered when putting these measures into practice.
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Abylkassymova, Alma, Akhan Mubarakov, Zhazira Yerkisheva, Zhannur Turganbayeva, and Zhomart Baysalov. "Assessment of Financial Literacy Formation Methods in Mathematics Education: Financial Computation." International Journal of Emerging Technologies in Learning (iJET) 15, no. 16 (August 28, 2020): 49. http://dx.doi.org/10.3991/ijet.v15i16.14587.

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Abstract— Learning the basics of financial computation to improve financial literacy of students in school mathematics is not enough to deepen modern eco-nomic knowledge and its correct application in life practice, which requires a more comprehensive view of the process of teaching mathematics. The purpose of the research – to prepare a teaching guide during the process of studying math-ematics in high school on the formation of financial literacy skills. Research methods - expertise and pedagogical experiment, theoretical, methodical and mathematical analysis of educational and methodical complexes and manuals, textbooks used in schools of the country, scientific and theoretical problems, philosophical, psychological and pedagogical, methodical and mathematical litera-ture aimed at teaching the basics of financial literacy in mathematics classes. Re-sults - methods of teaching the basics of financial statements in mathematics les-sons in high school will increase not only students' knowledge of mathematics, but also the level of knowledge about financial calculations and their interest in learning and their ability to read, the quality of knowledge acquisition and their ability to increase their financial literacy. The results of the study can be used to train future mathematics teachers in secondary schools and higher education institutions, to improve the teaching content and methodology of mathematics, and to improve the professional development of teachers.
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Taley, Isaac Bengre, and Matilda Sarpong Adusei. "Junior high school mathematics teachers’ knowledge in calculators." JRAMathEdu (Journal of Research and Advances in Mathematics Education) 5, no. 1 (February 28, 2020): 80–93. http://dx.doi.org/10.23917/jramathedu.v5i1.9523.

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Helping junior high school students to use calculators and computers for problem solving and investigating real-life situations is an objective of the junior high school mathematics curriculum in Ghana. Ironically, there is a technological drought in junior high school mathematics instruction in Ghana, with a suspicion that mathematics teachers’ competency in the use of calculators for teaching may be the source of this lack of use. This study sought to establish a correlation between junior high school mathematics teachers’ competence and the motivation supporting the use of calculators in teaching. A descriptive survey comprising of a test and questionnaire was used to collect data from junior high school mathematics teachers in an educational district in Ghana. Teacher characteristics such as educational attainment, age, and gender in relation to teachers’ competency in the use of calculators were discussed in the study. The results showed that about 70% of the teachers exhibited a low level of calculator competence. Besides, novice teachers outperformed expert teachers in the calculator competency-based test. Additionally, mathematics teachers’ enthusiasm for using calculators in teaching was directly associated with the teachers’ level of competency. The findings may send a signal to stakeholders in their efforts to revising the Ghana JHS curriculum in order to actualize the curriculum desire for the integration of technology in the teaching and learning of JHS mathematics.
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Haryanto, Loeky, Andi Galsan Mahie, Amir Kamal Amir, Naimah Aris, and Kasbawati Kasbawati. "Pembelajaran Matematika Berbasis Komputer Untuk MGMP Matematika SMP Di Kabupaten Pangkajene dan Kepulauan." JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat) 3, no. 1 (March 27, 2019): 100. http://dx.doi.org/10.36339/je.v3i1.194.

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Computers as learning media have become mandatory in the teaching and learning process. Mathematical learning in which the field of study is abstract and requires logical thinking is also inseparable from computer learning media. Many software made to facilitate mathematics learning activities, among others: Geogebra, Microsoft Mathematic, Maple, Matlab, SAS, SPSS etc. The dedication activities have been carried out by the Mathematics Department of FMIPA in collaboration with the Hasanuddin University Research and Community Service Institute (Lp2M) in Mathematics Subject Teacher (MGMP) at the junior high School in Pangkajene and Kepulauan District (Pangkep) held in the Junior High School 4 hall with a number of participants as many as 30 teachers from 23 various junior high schools in Pangkep Regency who are members of the MGMP. The purpose of this activity is to improve the ability of junior high school mathematics teachers in Pangkep Regency to use computer-based learning media such as Maple and Matlab. The material provided was training on Maple and Matlab software to support mathematics learning. The results of this activity can improve the ability of mathematics teachers to master mathematical material assisted by software.
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Galbraith, Peter. "Connecting Research to Teaching: Mathematics as Reasoning." Mathematics Teacher 88, no. 5 (May 1995): 412–17. http://dx.doi.org/10.5951/mt.88.5.0412.

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The Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) defines a role for reasoning in school mathematics that is far different from the norm of recent practice. Until recently, the study of mathematical reasoning was largely confined to high school geometry. Further, as Schoenfeld (1988) pointed out, the approach used in geometry was often so rigid that it conveyed the impression that the style of the response—for example, the two-column-proof format—was more important than its mathematical quality. The Standards document notes that reasoning is to have a role in all of mathematics from the earliest grades on up and that the form of justification need not follow a pre scribed format. Indeed, students are encouraged to explain their reasoning in their own words. Teachers are asked to present opportunities for students to refine their own thoughts and language by sharing ideas with their peers and the teacher.
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Küçüktepe, Coşkun, and Sevgi Balkan. "Investigation of the Relationship Between Class Teachers’ Levels of Mathematical Thinking and Mathematics Teaching Anxiety in Terms of Different Variables." International Education Studies 14, no. 7 (June 27, 2021): 91. http://dx.doi.org/10.5539/ies.v14n7p91.

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The current study aimed to investigate the relationship between class teachers’ level of mathematical thinking and level of anxiety about mathematics teaching in terms of different variables. To this end, the correlational and causal comparative method, one of the qualitative research methods, was used in the study. The study group of the current research is comprised of 509 class teachers working in state primary schools in the city of İstanbul in the 2019-2020 school year. As the data collection tools, the “Class Teachers’ Mathematical Thinking Scale” and the “Mathematics Teaching Anxiety Scale” were used. In the analysis of the data obtained from the scales, descriptive and parametric analyses (t-test and ANOVA) and Pearson Product-Moment Correlation were used. A low and negative correlation was found between the class teachers’ levels of mathematical thinking and mathematics teaching anxiety. Moreover, the class teachers’ levels of mathematical thinking and mathematics teaching anxiety were found to be varying significantly depending on gender. In addition, the class teachers’ levels of mathematical thinking and mathematics teaching anxiety were also found to be varying depending on the type of high school graduated and the length of service in the profession.
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Omar, Mohd Suhaimi, Noor Shah Saad, and Mohd Uzi Dollah. "Penggunaan bahan bantu mengajar guru matematik sekolah rendah." Jurnal Pendidikan Sains Dan Matematik Malaysia 7, no. 1 (April 27, 2017): 32–46. http://dx.doi.org/10.37134/jsspj.vol7.no1.3.2017.

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This study was conducted to identify the level of frequency using of teaching aids among mathematics teachers. This study also aims to identify the mathematical teacher perceptions towards the use of teaching aids, restraints and challenges faced by them in the use of teaching aids. The respondents of this study consists of 70 teachers of mathematics from 20 primary schools in the District of Batang Padang, Perak. This study used a survey method that involves the review of quantitative and qualitative interpretation. The instrument used was a questionnaire. A set of questionnaires were distributed to the respondents to obtain the necessary information and data. All data were analyzed using computer software Statistical Package for Social Sciences SPSS version 22 ‘to get the frequency, percentage and mean. The results showed that the use of teaching aids in mathematics among teachers is high. In addition, the study also shows that the perception of teachers to use teaching aids are also positive. While the results of the analysis also shows that there are constraints and challenges faced by teachers in the use of teaching aids. A few suggestions are given to increase the use of teaching aids in the teaching of mathematics. Conclusions from the study reflects that the use of teaching aids is important for teachers to assist them in the process of teaching and learning. The study also demonstrates the use of teaching aids not only benefit the teachers, but they also have a major impact towards pupils.
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Birken, Marcia. "Teaching Students How to Study Mathematics: A Classroom Approach." Mathematics Teacher 79, no. 6 (September 1986): 410–13. http://dx.doi.org/10.5951/mt.79.6.0410.

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For a variety of reasons, students do not know how to study mathematics. In the college-level mathematics classes that I teach, even the A students rarely have a system for attacking large amounts of new material. When asked how they've studied mathematics, most students reply that they do all the assigned homework. The “doing” of the problem is viewed as sufficient for learning. This haphazard approach may lead to success or at least to passing the course in junior and senior high school, where the material is presented in manageable chunks. In college the pace of most courses, whether mainstream or remedial, is such that many students flounder without a method for synthesizing the material. Additionally, since the textbook is opened only to reach the homework problems, students are unlikely to consider a mathematics textbook as a resource. The topic of this article is teaching students, from junior high school through college, strategies for studying mathematics.
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Abdul Majeed Hussein Al- Zahrani, Khaled Saeed Al- Zahrani, Abdul Majeed Hussein Al Zahrani, Khaled Saeed Al Zahrani. "Attitudes of high school mathematics teachers in Jeddah towards teaching developed mathematics curricula: اتجاهات معلمي الرياضيات للمرحلة الثانوية بمدينة جدة نحو تدريس مناهج الرياضيات المطورة." مجلة العلوم التربوية و النفسية 5, no. 30 (August 29, 2021): 77–103. http://dx.doi.org/10.26389/ajsrp.v130321.

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This study aimed to identify the attitudes of mathematics teachers at high school towards teaching developed mathematics curricula in Jeddah through identifying their attitudes towards: (nature- importance- enjoyment- courses and training programs for developed mathematics curricula as well as the suitability of the developed mathematics curricula with the capabilities of the student). It also aimed to identify the extent of having different attitudes among high school mathematics teachers towards teaching developed mathematics curricula according to the variables (type of qualification- years of experience) and the interaction between the study variables. The study followed the descriptive survey approach and was conducted on (174) mathematics teachers at high schools of the Jeddah City Education Department. The study reached a set of results, the most important of which are: - Attitudes of high school mathematics teachers towards (the nature of developed mathematics curricula- the importance of developed mathematics curricula- the enjoyment of teaching developed mathematics curricula- training courses and programs- the suitability of the developed mathematics curriculum with the student's abilities) came to a high level. - There were no statistically significant differences in the study sample’s responses about the attitudes of mathematics teachers at high schools towards teaching mathematics curricula developed according to the variables (academic qualification- years of experience). Based on the study findings, the researcher recommended the following: the need to pay more attention to the training in the new mathematics curricula for mathematics teachers; working on providing all possible means to develop training and its methods because of its positive impact on teachers' attitudes towards curricula; developing teachers’ positive attitudes towards improved mathematics curricula by setting up enrichment programs to help mathematics teachers deal with the improved mathematics curriculum.
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Dissertations / Theses on the topic "Mathematics - Study and teaching (High school)"

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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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Books on the topic "Mathematics - Study and teaching (High school)"

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Clithero, Debra R. Globe high school mathematics. Englewood Cliffs, N.J: Globe Book Co., 1989.

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Beckmann, Charlene E. Teaching and learning high school mathematics. Hoboken, NJ: Wiley, 2010.

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University of the State of New York. Bureau of Mathematics Education. Three-year sequence for high school mathematics. Albany: New York State Education Department, 1989.

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University of the State of New York. Bureau of Mathematics Education. Three-year sequence for high school mathematics. Albany, N.Y: University of the State of New York, State Education Dept., Bureau of Mathematics Education [and] Bureau of Curriculum Development, 1988.

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), Bellingham School District No 501 (Wash. Mathematics, computers curriculum guide: Bellingham High School. Bellingham, Wash: The Schools, 1988.

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Lang, Serge. Math!: Encounters with high school students. New York: Springer-Verlag, 1985.

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University of the State of New York. Bureau of Mathematics Education. Three-year sequence for high school mathematics. Albany, N.Y: University of the State of New York, State Education Dept., Bureau of Mathematics Education [and] Bureau of Curriculum Development, 1988.

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University of the State of New York. Bureau of Mathematics Education. Three-year sequence for high school mathematics. Albany, N.Y: University of the State of New York, State Education Dept., Bureau of Mathematics Education [and] Bureau of Curriculum Development, 1988.

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Diane, Resek, and Interactive Mathematics Program, eds. Interactive mathematics program: Integrated high school mathematics, teacher's guide. Berkeley, Calif: Key Curriculum Press, 1998.

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Diane, Resek, and Interactive Mathematics Program, eds. Interactive mathematics program: Integrated high school mathematics, teacher's guide. Berkeley, Calif: Key Curriculum Press, 1997.

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Book chapters on the topic "Mathematics - Study and teaching (High school)"

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da Rosa, Sylvia. "Designing Algorithms in High School Mathematics." In Teaching Formal Methods, 17–31. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-30472-2_2.

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Andrà, Chiara, Domenico Brunetto, and Igor’ Kontorovich. "Designing Mathematics Hybrid Classrooms in High School." In Teaching and Learning Mathematics Online, 43–60. First edition. | Boca Raton : C&H/CRC Press, 2020.: Chapman and Hall/CRC, 2020. http://dx.doi.org/10.1201/9781351245586-4.

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Andrà, Chiara, Domenico Brunetto, and Igor’ Kontorovich. "Designing Mathematics Hybrid Classrooms in High School." In Teaching and Learning Mathematics Online, 61–72. First edition. | Boca Raton : C&H/CRC Press, 2020.: Chapman and Hall/CRC, 2020. http://dx.doi.org/10.1201/9781351245586-5.

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McFeetors, P. Janelle. "Improving Students’ Approaches to Learning High School Mathematics." In Teaching and Learning Secondary School Mathematics, 483–94. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-92390-1_45.

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Kawauchi, Akio, and Tomoko Yanagimoto. "Education Practices in Junior High School." In Teaching and Learning of Knot Theory in School Mathematics, 57–93. Tokyo: Springer Japan, 2012. http://dx.doi.org/10.1007/978-4-431-54138-7_5.

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Martin, Vincent, Izabella Oliveira, and Laurent Theis. "Teaching Probability in Junior High School Through Problem Solving: Construction and Analysis of a Probabilistic Problem." In Teaching and Learning Secondary School Mathematics, 325–38. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-92390-1_31.

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Horvatek, Antonija. "Using Technology In Teaching Math." In Pedagogy and Content in Middle and High School Mathematics, 197–204. Rotterdam: SensePublishers, 2017. http://dx.doi.org/10.1007/978-94-6351-137-7_43.

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Allen, G. Donald. "Teaching is a Balancing Act." In Pedagogy and Content in Middle and High School Mathematics, 249–52. Rotterdam: SensePublishers, 2017. http://dx.doi.org/10.1007/978-94-6351-137-7_55.

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Pospiech, Gesche, Avraham Merzel, Giacomo Zuccarini, Efi Weissman, Nadav Katz, Igal Galili, Lorenzo Santi, and Marisa Michelini. "The Role of Mathematics in Teaching Quantum Physics at High School." In Teaching-Learning Contemporary Physics, 47–70. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-78720-2_4.

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Kawauchi, Akio, and Tomoko Yanagimoto. "Education Practices in Senior High Schools." In Teaching and Learning of Knot Theory in School Mathematics, 95–149. Tokyo: Springer Japan, 2012. http://dx.doi.org/10.1007/978-4-431-54138-7_6.

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Conference papers on the topic "Mathematics - Study and teaching (High school)"

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Ajilore, Oladayo Temitope, and Maredi Mphahlele. "Web 2.0 technologies for teaching and learning mathematics subject in high school. A case study." In 2013 Second International Conference on e-Learning and e-Technologies in Education (ICEEE). IEEE, 2013. http://dx.doi.org/10.1109/icelete.2013.6644346.

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"Identifying Barriers to Integration of Technology into Traditional Approach of Teaching: A Case Study of Mathematics Teachers in Former Transkei in the Eastern Cape." In InSITE 2018: Informing Science + IT Education Conferences: La Verne California. Informing Science Institute, 2018. http://dx.doi.org/10.28945/4045.

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Aim/Purpose: [The full paper was previously published in the International Journal of Community Development & Management Studies, 1, 39-47. Available at http://ijcdms.org/Volume01/v1p063-071Fosu3785.pdf] The main aim of the study is to identify some of the barriers to the integration of technology into the teaching of mathematics in high schools. Background: Writing on chalkboards as a method of transferring knowledge is a key feature of traditional approach to teaching may have been successful in the past, but the minds of the current generation vary from those of the previous generation. Today’s students are immersed in technology. They are much more up-to-date on the latest technology and gadgets. Technology has certainly changed how students access and integrate information, so it plausible that technology has also changed the way students thinks. Growing up with cutting-edge technologies has left them thinking differently than students of past generations. This call for new innovative approaches to teaching that will cater to the students of today. Of course it is not wise to discard the traditional way of teaching that the past teachers have painstakingly created because of its past and some current success. This is why it is recommended to use this approach as a base for the new ones. Thus, if there is a way to transfer the advantages of this approach of teaching to new innovative approach then teachers should do everything in their power to merge the past and the present into one innovative teaching approach. Methodology: Purposeful sampling was used to survey a total of 116 high school mathematics teachers in the former Transkei Homelands. But only 97 questionnaires were deemed usable because of the way they have answered the questions. Microsoft excel was used in the descriptive statistics Contribution: To identify some barriers that need to be addressed by stakeholders, policy makers in high school education so that high school mathematics teachers will be able to integrate technology into their classroom teaching to meet today students’ learning needs. Findings: The results indicated that the participating teachers need to be trained and supported in the use of the new technologies applicable to teaching mathematics. Recommendations for Practitioners: The Eastern Cape department of education needs to consider the lacked of technology training as a barrier to the integration of technology into the teaching of mathematics and take necessary steps to address it. Recommendation for Researchers: There is the need to explore in depth whether the factors of gender and age also act as barriers. Impact on Society: The research will assist stakeholders, policy makers of high school education to identify the needs of mathematics teachers. That is to say, the skill sets, experience and expertise, as well as teaching equipment and classroom design and environment required by mathematics teachers. Future Research: More work needs to be done to check whether gender, age of the teachers have some effects on their attitude towards technology integration as well as evaluate the role played by choice of teaching methodology and teaching objectives.
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Tuan, Bui Anh, Tran Thi Thu Thao, Nguyen Ngoc Phuong Anh, and Le Thanh Dien. "Using Dual-use Electronic Lectures in E-learning: An Empirical Study of Teaching and Learning Mathematics at Vietnamese High Schools." In 2020 5th International Conference on Green Technology and Sustainable Development (GTSD). IEEE, 2020. http://dx.doi.org/10.1109/gtsd50082.2020.9303082.

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Wong, Kaufui V., Baochan D. Do, and William Hagen. "Math and Science Education Comparisons Between the United States and the Rest of the World." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-67317.

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At the end of secondary education, the students of the United States are behind most advanced countries in science and mathematics. The main problem lies in the fact that the United States education system does not have a clear focus in their teaching of math and science through primary and secondary schools. According to the United States Department of Education, only 22 of the 50 states in the U.S. require that three years of math and science be taught in order to graduate from high school. This puts students of the United States at a disadvantage against the rest of the competitors on the global marketplace. This lack of uniformity in the United States is the reason that high school graduates are behind other developed countries in their math and science scores and subsequently less Americans are graduating from universities in the sciences. These facts could contribute detrimentally to the economic progress in the United States. To remedy this lack of American scientists and engineers, the United States needs to have a comprehensive system to encourage the study of math and science from primary school all the way to implementation in the economic marketplace.
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Siswoyo, S., and Dewi Muliyati. "Teaching high school physics using PhET interactive simulation." In THE 2ND SCIENCE AND MATHEMATICS INTERNATIONAL CONFERENCE (SMIC 2020): Transforming Research and Education of Science and Mathematics in the Digital Age. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0041657.

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Vysoká, Jana. "SYMMETRIC POLYNOMIALS AS ENRICHMENT OF HIGH SCHOOL MATHEMATICS TEACHING." In 11th International Conference on Education and New Learning Technologies. IATED, 2019. http://dx.doi.org/10.21125/edulearn.2019.1554.

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Antoš, Karel. "TEACHING MATHEMATICS WITH USING PROBLEM SOLVING TASKS AT HIGH SCHOOL." In 15th International Technology, Education and Development Conference. IATED, 2021. http://dx.doi.org/10.21125/inted.2021.1702.

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Aini, Fitria Nur, Sutopo, and Agus Suyudi. "Teaching integrated Newton’s laws of motion for high school students." In THE 4TH INTERNATIONAL CONFERENCE ON MATHEMATICS AND SCIENCE EDUCATION (ICoMSE) 2020: Innovative Research in Science and Mathematics Education in The Disruptive Era. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0043193.

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Liu, Yingjie, and Hongkai Wang. "The Effect of Improving Mathematics Teaching in High School Art Students." In 2018 2nd International Conference on Management, Education and Social Science (ICMESS 2018). Paris, France: Atlantis Press, 2018. http://dx.doi.org/10.2991/icmess-18.2018.68.

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Antoš, Karel. "BENEFITS OF SCIENTIFIC RESEARCH METHOD IN TEACHING MATHEMATICS IN HIGH SCHOOL." In 15th International Technology, Education and Development Conference. IATED, 2021. http://dx.doi.org/10.21125/inted.2021.1701.

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Reports on the topic "Mathematics - Study and teaching (High school)"

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Measure, Edward M., and Edward Creegan. Gains in the Education of Mathematics and Science GEMS: Teaching Robotics to High School Students. Fort Belvoir, VA: Defense Technical Information Center, January 2013. http://dx.doi.org/10.21236/ada577062.

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Lemos, Renata, Karthik Muralidharan, and Daniela Scur. Personnel Management and School Productivity: Evidence from India. Research on Improving Systems of Education (RISE), February 2021. http://dx.doi.org/10.35489/bsg-rise-wp_2021/063.

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This paper uses new data to study school management and productivity in India. We report four main results. First, management quality in public schools is low, and ~2σ below high-income countries with comparable data. Second, private schools have higher management quality, driven by much stronger people management. Third, people management quality is correlated with both independent measures of teaching practice, as well as school productivity measured by student value added. Fourth, private school teacher pay is positively correlated with teacher effectiveness, and better managed private schools are more likely to retain more effective teachers. Neither pattern is seen in public schools.
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Sowa, Patience, Rachel Jordan, Wendi Ralaingita, and Benjamin Piper. Higher Grounds: Practical Guidelines for Forging Learning Pathways in Upper Primary Education. RTI Press, May 2021. http://dx.doi.org/10.3768/rtipress.2021.op.0069.2105.

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To address chronically low primary school completion rates and the disconnect between learners’ skills at the end of primary school and the skills learners need to thrive in secondary school identified in many low- and middle-income countries, more investment is needed to improve the quality of teaching and learning in upper primary grades. Accordingly, we provide guidelines for improving five components of upper primary education: (1) In-service teacher professional development and pre-service preparation to improve and enhance teacher quality; (2) a focus on mathematics, literacy, and core content-area subjects; (3) assessment for learning; (4) high-quality teaching and learning materials; and (5) positive school climates. We provide foundational guiding principles and recommendations for intervention design and implementation for each component. Additionally, we discuss and propose how to structure and design pre-service teacher preparation and in-service teacher training and ongoing support, fortified by materials design and assessment, to help teachers determine where learners are in developmental progressions, move learners towards mastery, and differentiate and support learners who have fallen behind. We provide additional suggestions for integrating a whole-school climate curriculum, social-emotional learning, and school-related gender-based violence prevention strategies to address the internal and societal changes learners often face as they enter upper primary.
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Thomson, Sue, Nicole Wernert, Sima Rodrigues, and Elizabeth O'Grady. TIMSS 2019 Australia. Volume I: Student performance. Australian Council for Educational Research, December 2020. http://dx.doi.org/10.37517/978-1-74286-614-7.

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The Trends in International Mathematics and Science Study (TIMSS) is an international comparative study of student achievement directed by the International Association for the Evaluation of Educational Achievement (IEA). TIMSS was first conducted in 1995 and the assessment conducted in 2019 formed the seventh cycle, providing 24 years of trends in mathematics and science achievement at Year 4 and Year 8. In Australia, TIMSS is managed by the Australian Council for Educational Research (ACER) and is jointly funded by the Australian Government and the state and territory governments. The goal of TIMSS is to provide comparative information about educational achievement across countries in order to improve teaching and learning in mathematics and science. TIMSS is based on a research model that uses the curriculum, within context, as its foundation. TIMSS is designed, broadly, to align with the mathematics and science curricula used in the participating education systems and countries, and focuses on assessment at Year 4 and Year 8. TIMSS also provides important data about students’ contexts for learning mathematics and science based on questionnaires completed by students and their parents, teachers and school principals. This report presents the results for Australia as a whole, for the Australian states and territories and for the other participants in TIMSS 2019, so that Australia’s results can be viewed in an international context, and student performance can be monitored over time. The results from TIMSS, as one of the assessments in the National Assessment Program, allow for nationally comparable reports of student outcomes against the Melbourne Declaration on Educational Goals for Young Australians. (Ministerial Council on Education, Employment, Training and Youth Affairs, 2008).
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Pritchett, Lant, and Martina Viarengo. Learning Outcomes in Developing Countries: Four Hard Lessons from PISA-D. Research on Improving Systems of Education (RISE), April 2021. http://dx.doi.org/10.35489/bsg-rise-wp_2021/069.

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The learning crisis in developing countries is increasingly acknowledged (World Bank, 2018). The UN’s Sustainable Development Goals (SDG) include goals and targets for universal learning and the World Bank has adopted a goal of eliminating learning poverty. We use student level PISA-D results for seven countries (Cambodia, Ecuador, Guatemala, Honduras, Paraguay, Senegal, and Zambia) to examine inequality in learning outcomes at the global, country, and student level for public school students. We examine learning inequality using five dimensions of potential social disadvantage measured in PISA: sex, rurality, home language, immigrant status, and socio-economic status (SES)—using the PISA measure of ESCS (Economic, Social, and Cultural Status) to measure SES. We document four important facts. First, with the exception of Ecuador, less than a third of the advantaged (male, urban, native, home speakers of the language of instruction) and ESCS elite (plus 2 standard deviations above the mean) children enrolled in public schools in PISA-D countries reach the SDG minimal target of PISA level 2 or higher in mathematics (with similarly low levels for reading and science). Even if learning differentials of enrolled students along all five dimensions of disadvantage were eliminated, the vast majority of children in these countries would not reach the SDG minimum targets. Second, the inequality in learning outcomes of the in-school children who were assessed by the PISA by household ESCS is mostly smaller in these less developed countries than in OECD or high-performing non-OECD countries. If the PISA-D countries had the same relationship of learning to ESCS as Denmark (as an example of a typical OECD country) or Vietnam (a high-performing developing country) their enrolled ESCS disadvantaged children would do worse, not better, than they actually do. Third, the disadvantages in learning outcomes along four characteristics: sex, rurality, home language, and being an immigrant country are absolutely large, but still small compared to the enormous gap between the advantaged, ESCS average students, and the SDG minimums. Given the massive global inequalities, remediating within-country inequalities in learning, while undoubtedly important for equity and justice, leads to only modest gains towards the SDG targets. Fourth, even including both public and private school students, there are strikingly few children in PISA-D countries at high levels of performance. The absolute number of children at PISA level 4 or above (reached by roughly 30 percent of OECD children) in the low performing PISA-D countries is less than a few thousand individuals, sometimes only a few hundred—in some subjects and countries just double or single digits. These four hard lessons from PISA-D reinforce the need to address global equity by “raising the floor” and targeting low learning levels (Crouch and Rolleston, 2017; Crouch, Rolleston, and Gustafsson, 2020). As Vietnam and other recent successes show, this can be done in developing country settings if education systems align around learning to improve the effectiveness of the teaching and learning processes to improve early learning of foundational skills.
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Atuhurra, Julius, and Michelle Kaffenberger. System (In)Coherence: Quantifying the Alignment of Primary Education Curriculum Standards, Examinations, and Instruction in Two East African Countries. Research on Improving Systems of Education (RISE), December 2020. http://dx.doi.org/10.35489/bsg-rise-wp_2020/057.

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Improvements in instructional coherence have been shown to have large impacts on student learning, yet analysis of such coherence, especially in developing countries and at a systems level, is rare. We use an established methodology, the Surveys of Enacted Curriculum (SEC), and apply it to a developing country context to systematically analyze and quantify the content and coherence of the primary curriculum standards, national examinations, and actual teaching delivered in the classroom in Uganda and Tanzania. We find high levels of incoherence across all three instructional components. In Uganda, for example, only four of the fourteen topics in the English curriculum standards appear on the primary leaving exam, and two of the highest-priority topics in the standards are completely omitted from the exams. In Tanzania, only three of fourteen English topics are covered on the exam, and all are assessed at the “memorization” level. Rather than aligning with either the curriculum standards or exams, teachers’ classroom instruction is poorly aligned with both. Teachers tend to cover broad swathes of content and levels of cognitive demand, unrelated to the structure of either the curriculum standards or exams. An exception is Uganda mathematics, for which standards, exams, and teacher instruction are all well aligned. By shedding light on alignment deficits in the two countries, these results draw attention to a policy area that has previously attracted little (if any) attention in many developing countries’ education policy reform efforts. In addition to providing empirical results for Uganda and Tanzania, this study provides a proof-of-concept for the use of the SEC methodology as a diagnostic tool in developing countries, helping education systems identify areas of instructional (in)coherence and informing efforts to improve coherence for learning.
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Tucker-Blackmon, Angelicque. Engagement in Engineering Pathways “E-PATH” An Initiative to Retain Non-Traditional Students in Engineering Year Three Summative External Evaluation Report. Innovative Learning Center, LLC, July 2020. http://dx.doi.org/10.52012/tyob9090.

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The summative external evaluation report described the program's impact on faculty and students participating in recitation sessions and active teaching professional development sessions over two years. Student persistence and retention in engineering courses continue to be a challenge in undergraduate education, especially for students underrepresented in engineering disciplines. The program's goal was to use peer-facilitated instruction in core engineering courses known to have high attrition rates to retain underrepresented students, especially women, in engineering to diversify and broaden engineering participation. Knowledge generated around using peer-facilitated instruction at two-year colleges can improve underrepresented students' success and participation in engineering across a broad range of institutions. Students in the program participated in peer-facilitated recitation sessions linked to fundamental engineering courses, such as engineering analysis, statics, and dynamics. These courses have the highest failure rate among women and underrepresented minority students. As a mixed-methods evaluation study, student engagement was measured as students' comfort with asking questions, collaboration with peers, and applying mathematics concepts. SPSS was used to analyze pre-and post-surveys for statistical significance. Qualitative data were collected through classroom observations and focus group sessions with recitation leaders. Semi-structured interviews were conducted with faculty members and students to understand their experiences in the program. Findings revealed that women students had marginalization and intimidation perceptions primarily from courses with significantly more men than women. However, they shared numerous strategies that could support them towards success through the engineering pathway. Women and underrepresented students perceived that they did not have a network of peers and faculty as role models to identify within engineering disciplines. The recitation sessions had a positive social impact on Hispanic women. As opportunities to collaborate increased, Hispanic womens' social engagement was expected to increase. This social engagement level has already been predicted to increase women students' persistence and retention in engineering and result in them not leaving the engineering pathway. An analysis of quantitative survey data from students in the three engineering courses revealed a significant effect of race and ethnicity for comfort in asking questions in class, collaborating with peers outside the classroom, and applying mathematical concepts. Further examination of this effect for comfort with asking questions in class revealed that comfort asking questions was driven by one or two extreme post-test scores of Asian students. A follow-up ANOVA for this item revealed that Asian women reported feeling excluded in the classroom. However, it was difficult to determine whether these differences are stable given the small sample size for students identifying as Asian. Furthermore, gender differences were significant for comfort in communicating with professors and peers. Overall, women reported less comfort communicating with their professors than men. Results from student metrics will inform faculty professional development efforts to increase faculty support and maximize student engagement, persistence, and retention in engineering courses at community colleges. Summative results from this project could inform the national STEM community about recitation support to further improve undergraduate engineering learning and educational research.
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