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1
Lehmann, Jane Nedine. "Reading mathematics: Mathematics teachers' beliefs and practices." Diss., The University of Arizona, 1993. http://hdl.handle.net/10150/186198.
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This study explores the relationship between university mathematics teachers' beliefs about the nature of reading mathematics and their practices regarding reading mathematics. It is a response to the calls for reform in mathematics education, particularly to the assertion made by the National Council of Teachers of Mathematics in 1989 that not all students can read mathematical exposition effectively and that all students need instruction in how to read mathematics textbooks. It presupposes a collaboration between reading and mathematics teachers to help students learn to read mathematics. The objectives were (1) to examine mathematics teachers' beliefs and practices regarding reading, mathematics, and thereby, reading mathematics; (2) to determine whether the theoretical perspectives implicit in those beliefs and practices could be characterized vis-a-vis the theoretical orientations that inform Siegel, Borasi, and Smith's (1989) synthesis of mathematics and reading; and (3) to determine the relationship, if any, that exists between mathematics teachers' beliefs about reading mathematics and their practices regarding reading mathematics. The synthesis presents dichotomous views of both mathematics and reading: Mathematics is characterized as either a body of facts and techniques or a way of knowing; reading, as either a set of skills for extracting information from text, or a mode of learning. The latter view, in each case, can be characterized as constructivist. The researcher was a participant observer in a university sumner program. The primary participants were fourteen mathematics instructors. Interviews were conducted using a heuristic elicitation technique (Black & Metzger, 1969). Field notes were taken during observations of classroom activities and other non-academic summer program activities. The data were coded using a constant comparative method (Glaser & Strauss, 1967) comparative method. Twelve instructors held conceptions of reading that were consistent with their conceptions of mathematics. Of those twelve, two held conceptions that could be characterized as constructivist; ten held conceptions that were not constructivist. Two instructors held conceptions of reading that were not consistent with their conceptions of mathematics. Of those two, one held a constructivist conception of reading but not of mathematics; one held a constructivist conception of mathematics but not of reading. Teachers' practices reflected their theoretical orientations. The study has implications for teacher education: If teachers' beliefs are related to their practices, then teacher education programs should (1) acknowledge the teachers' existing beliefs and (2) address the theoretical orientations implicit in various aspects of pedagogy.
2
Bickmore-Brand, Jennie. "Teachers of mathematics teach mathematics differently : a case study of two teachers." Thesis, Edith Cowan University, Research Online, Perth, Western Australia, 1997. https://ro.ecu.edu.au/theses/893.
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This thesis investigates the different approaches adopted by two teachers for teaching mathematical content at the upper primary level of education. Questions have been raised by researchers about the impact teachers' philosophical background may have on their perception of how mathematics should be taught. Similarly questions have been asked about the role of content in mathematics education in relation to the process of education. The two teachers held different beliefs about what they were doing when they were teaching mathematics and why they were teaching that way. Their methodological emphases were different; one could be described as being more learner-centred and the other as more content-centred. This case study research analysed classroom observations, and interviews with the teachers and the students, collected over a twelve month period. The results indicated a difference in perception being expressed by the students in each class, about the mathematics they were being taught and its function in their own lives. The outcomes of this study were concerned with the impact of each teaching methodology. The qualitative nature of the research provides readers with data which may help them to make informed choices about approaches to teaching mathematics. Most importantly this study highlights the factors which may have an impact on how a teacher elects and/or feels constrained to deliver set mathematics curriculum.
3
Bakkaloglu, Ezgi. "Preservice Elementary Mathematics Teachers." Master's thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/3/12608937/index.pdf.
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This study analyzes the preservice elementary mathematics teachers&rsquo<br>self efficacy beliefs and outcome expectancies about using manipulatives and investigates whether, or not, university and gender differences have any significant effect on their self efficacy and outcome expectancies. In mathematics education, students&rsquo<br>conceptions about abstract mathematical ideas and being able to convert them into concrete ideas are very important. For this reason, it is very beneficial to use manipulative materials in the mathematics lessons. However, most of the preservice mathematics teachers in Turkey lack knowledge about using manipulatives.
The sample of present study consisted of 77 senior undergraduate students studying in Elementary Mathematics Teacher Education programs at 2 different universities located in Ankara and Izmir. Data were collected in spring term of 2006-2007 academic years. The survey items were adopted from previously developed teacher efficacy instrument, which partly ensures the items to be parallel with the existing theory about the construct. The survey consisted of three parts<br>demographic information, knowledge about the manipulatives, and &lsquo<br>The Instrument of Preservice Mathematics Teachers&rsquo<br>Efficacy Beliefs about Using Manipulatives&rsquo<br>(EBMU).
The present study demonstrated that the gender differences did not effect preservice elementary mathematics teachers&rsquo<br>personal manipulative use teaching efficacy whereas the university differences had a significant effect on their personal manipulative use teaching efficacy. In addition, the gender and university attended produced statistically significant main effect on preservice elementary mathematics teachers&rsquo<br>outcome expectancies.
4
Ozgeldi, Meric. "Middle School Mathematics Teachers." Phd thesis, METU, 2012. http://etd.lib.metu.edu.tr/upload/12614448/index.pdf.
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The current study aimed to explore middle school mathematics teachers&rsquo<br>use of mathematics textbooks and examine their integration of tasks in the textbooks into teaching. The framework of a mixed methods research design guided data collection in this study. A questionnaire called the Use of Mathematics Textbooks Questionnaire was developed and validated to identify the ways teachers benefit from textbooks. The factor analysis revealed four dimensions, namely Reading Student Edition Textbook, Selecting Questions from Workbook, Reading Teacher Edition Textbook, and Selecting Tasks and Problems from Auxilary Books.
The results of the study showed that teachers used the student edition textbook for mostly during class and for lesson preparation. Teachers also used the student edition textbook for explaining the topic and the introductory tasks. However, they rarely used it for selecting problems and examples. Teachers read the student edition textbook mostly during and prior to class<br>and mostly use it for topic explanation, but rarely for problems and examples. They stated that they frequently selected questions from the workbook that were not included in the textbook. However, they occasionally picked questions to use during lessons. They frequently used auxilary books to select questions similar to the ones in the high school entrance exam problems.
In examining the process of teachers&rsquo<br>use of mathematics textbooks, it was argued that there were interpretive processes as teachers engage with and use textbooks. The analysis of interviews and observations showed that teachers read textbooks and select tasks and questions from those books. In their decisions about using tasks from textooks, teachers usually considered the nature of tasks and students&rsquo<br>characteristics.
5
Kunz, Emily Ann Hales. "Secondary Mathematics Teachers' Mindsets." BYU ScholarsArchive, 2020. https://scholarsarchive.byu.edu/etd/8691.
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Much research supports that student mindset influences how well students do in school and that teacher actions influence student mindset. Research has also shown that just because a teacher has a growth mindset, it does not imply that their students will also have a growth mindset. This research looks closer as to why a teacher's mindset does not correlate with their students' mindset by further examining teacher mindset and the connection between teacher mindset and teacher actions. In summary, teachers' mindsets do not directly influence student mindset for a few reasons: secondary mathematics teachers have different mindsets towards honors and regular students, while they have heard about mindset, they do not understand mindset deeply, and mathematics teachers do not know how to help their students develop a growth mindset.
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Sweeting, Kylie. "Early years teachers’ attitudes towards mathematics." Thesis, Queensland University of Technology, 2011. https://eprints.qut.edu.au/46123/1/Kylie_Sweeting_Thesis.pdf.
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Worldwide, there is considerable attention to providing a supportive mathematics learning environment for young children because attitude formation and achievement in these early years of schooling have a lifelong impact. Key influences on young children during these early years are their teachers. Practising early years teachers‟ attitudes towards mathematics influence the teaching methods they employ, which in turn, affects young students‟ attitudes towards mathematics, and ultimately, their achievement. However, little is known about practising early years teachers‟ attitudes to mathematics or how these attitudes form, which is the focus of this study. The research questions were:
1. What attitudes do practising early years teachers hold towards mathematics?
2. How did the teachers‟ mathematics attitudes form?
This study adopted an explanatory case study design (Yin, 2003) to investigate practising early years teachers‟ attitudes towards mathematics and the formation of these attitudes. The research took place in a Brisbane southside school situated in a middle socio-economic area. The site was chosen due to its accessibility to the researcher. The participant group consisted of 20 early years teachers. They each completed the Attitude Towards Mathematics Inventory (ATMI) (Schackow, 2005), which is a 40 item instrument that measures attitudes across the four dimensions of attitude, namely value, enjoyment, self-confidence and motivation. The teachers‟ total ATMI scores were classified according to five quintiles: strongly negative, negative, neutral, positive and strongly positive. The results of the survey revealed that these teachers‟ attitudes ranged across only three categories with one teacher classified as strongly positive, twelve teachers classified as positive and seven teachers classified as neutral. No teachers were identified as having negative or strongly negative attitudes. Subsequent to the surveys, six teachers with a breadth of attitudes were selected from the original cohort to participate in open-ended interviews to investigate the formation of their attitudes. The interview data were analysed according to the four dimensions of attitudes (value, enjoyment, self-confidence, motivation) and three stages of education (primary, secondary, tertiary).
Highlighted in the findings is the critical impact of schooling experiences on the formation of student attitudes towards mathematics. Findings suggest that primary school experiences are a critical influence on the attitudes of adults who become early years teachers. These findings also indicate the vital role tertiary institutions play in altering the attitudes of preservice teachers who have had negative schooling experiences. Experiences that teachers indicated contributed to the formation of positive attitudes in their own education were games, group work, hands-on activities, positive feedback and perceived relevance. In contrast, negative experiences that teachers stated influenced their attitudes were insufficient help, rushed teaching, negative feedback and a lack of relevance of the content. These findings together with the literature on teachers‟ attitudes and mathematics education were synthesized in a model titled a Cycle of Early Years Teachers’ Attitudes Towards Mathematics. This model explains positive and negative influences on attitudes towards mathematics and how the attitudes of adults are passed on to children, who then as adults themselves, repeat the cycle by passing on attitudes to a new generation. The model can provide guidance for practising teachers and for preservice and inservice education about ways to foster positive influences to attitude formation in mathematics and inhibit negative influences.
Two avenues for future research arise from the findings of this study both relating to attitudes and secondary school experiences. The first question relates to the resilience of attitudes, in particular, how an individual can maintain positive attitudes towards mathematics developed in primary school, despite secondary school experiences that typically have a negative influence on attitude. The second question relates to the relationship between attitudes and achievement, specifically, why secondary students achieve good grades in mathematics despite a lack of enjoyment, which is one of the dimensions of attitude.
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Segarra, Escandón Jaime Rodrigo. "Pre-service teachers' mathematics teaching beliefs and mathematical content knowledge." Doctoral thesis, Universitat Rovira i Virgili, 2021. http://hdl.handle.net/10803/671686.
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L’estudi del coneixement matemàtic i les creences de l’eficàcia de l’ensenyament de les matemàtiques en la formació inicial dels futurs mestres és fonamental, ja que influencia el rendiment acadèmic dels seus estudiants. L’objectiu d’aquesta tesi és estudiar tant el coneixement matemàtic inicial dels futurs mestres com també les seves creences sobre l’eficàcia matemàtica i la seva actitud envers les matemàtiques. Per a complir amb l’objectiu, es realitzen vàries investigacions. Primer, s’estudien els coneixements inicials de nombres i geometria dels estudiants del primer curs del Grau d’Educació Primària a la Universitat Rovira i Virgili (URV). En segon lloc, s’estudien les creences de l’eficàcia de l’ensenyament de les matemàtiques dels futurs mestres durant el grau. En tercer lloc, en aquesta Tesi es compara l’autoeficàcia i l’expectativa de resultats de l’ensenyament de les matemàtiques de futurs mestres, mestres novells i mestres experimentats. En quart lloc, s’estudia la relació entre les creences de l’ensenyament de les matemàtiques, l’actitud envers les matemàtiques i el rendiment acadèmic dels futurs mestres. En cinquè lloc, s’estudia la influència dels factors experiència docent, nivell d’educació i nivell d’ensenyament sobre les creences de l’eficàcia de l’ensenyament de les matemàtiques en mestres en actiu. Finalment, es compara l’autoeficàcia de l’ensenyament de les matemàtiques entre els estudiants del quart any del grau de mestres a la Universitat del Azuay i a la URV. Els resultats d’aquesta Tesi ofereixen informació potencialment important sobre el coneixement matemàtic, les creences, l’autoeficàcia de l’ensenyament de les matemàtiques i l’actitud envers les matemàtiques dels futurs mestres i dels mestres en actiu. Aquests resultats poden ajudar a desenvolupar polítiques adients a l’hora de dissenyar plans d’estudis i també assessorar als professors dels graus de mestre en les institucions d’educació superior.<br>El estudio del conocimiento matemático y las creencias de la eficacia de la enseñanza de las matemáticas en la formación inicial de los futuros maestros es fundamental, ya que influye en el rendimiento académico de los estudiantes. El objetivo de esta tesis es estudiar tanto el conocimiento matemático inicial de los futuros maestros como sus creencias sobre la eficacia matemática y su actitud hacia las matemáticas. Para cumplir con el objetivo se realiza varias investigaciones. Primero, se estudia los conocimientos iniciales de números y geometría de los estudiantes de primer año del Grado de Educación Primaria en la Universidad Rovira y Virgili (URV). En segundo lugar, se estudia las creencias de la eficacia de la enseñanza de las matemáticas de los futuros maestros a lo largo del grado. Tercero, esta Tesis compara la autoeficacia y la expectativa de resultados de la enseñanza de las matemáticas de futuros maestros, maestros novatos y maestros experimentados. Cuarto, se estudia la relación entre las creencias de la enseñanza de las matemáticas, la actitud hacia las matemáticas y su rendimiento académico. Quinto, se estudia la influencia de los factores experiencia docente, nivel de educación y nivel de enseñanza, sobre las creencias de la eficacia de la enseñanza de las matemáticas en maestros en servicio. Finalmente, se compara la autoeficacia de la enseñanza de las matemáticas entre los estudiantes de cuarto año del grado de maestro en la Universidad del Azuay y en la URV. Los resultados de esta Tesis ofrecen información potencialmente importante sobre el conocimiento matemático, las creencias, la autoeficacia de la enseñanza de las matemáticas y la actitud hacia las matemáticas de los futuros maestros y maestros en servicio. Estos resultados pueden ayudar a desarrollar políticas adecuadas para diseñar planes de estudios y también asesorar a los profesores de los grados de maestro en las instituciones de educación superior.<br>The study of mathematical content knowledge and teachers’ mathematics teaching beliefs of the pre-service teachers is fundamental, since it influences the academic performance of students. The objective of this Thesis is to study the initial mathematical knowledge of pre-service teachers and also their teachers’ mathematics teaching beliefs and their attitude towards mathematics. To meet the objective, various investigations are carried out. First, the initial knowledge of numbers and geometry of first-year students of the primary education degree at the Rovira and Virgili University (URV) is studied. Second, pre-service teachers’ mathematics teaching beliefs are studied throughout the grade. Third, this Thesis compares the self-efficacy and the expectation of results of the teaching of mathematics of pre-service teachers, novice in-service teachers and experienced in-service teachers. Fourth, the relationship between the teachers’ mathematics teaching beliefs, the attitude towards mathematics and their academic performance is studied. Fifth, the influence of the factors teaching level factor and level of training on the teachers’ mathematics teaching beliefs of in-service teachers is studied. Finally, the self-efficacy of mathematics teaching of fourth-year students at the Azuay University and at the URV is compared. The results of this Thesis offer potentially important information on the mathematical knowledge, beliefs, self-efficacy of mathematics teaching and the attitude towards mathematics of pre-service teachers and in-service teachers. These results can help develop policies for curriculum developers and teaching professors at institutes of higher education.
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Verwey, Johanna Cornelia (Hanlie). "Investigating the interaction of mathematics teachers with learners' mathematical errors." Diss., University of Pretoria, 2010. http://hdl.handle.net/2263/24743.
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This study investigated the interaction of mathematics teachers with learners’ mathematical errors. The teachers’ verbal interaction with learners’ errors during learning periods and their written interaction in assessment tasks were explored. The study was contextualized in grade 9 secondary school classrooms in the Gauteng province of South Africa. The investigation was epistemologically underpinned by constructivism/socio-constructivism. The investigation was qualitatively approached through four case studies. Structured and semi-structured interviews, classroom observations and learners’ written assessment tasks were employed as sources of data. The participating teachers were described in terms of their beliefs about mathematics, their beliefs about learners’ mathematical errors, their observed prevalent teaching approach and their professed and enacted interaction with learners’ mathematical errors. Within-case and cross-case comparisons ensued. The findings proposed that when teachers believed that the value of learners’ errors was vested in the corrections thereof, rather than employing these opportunities for discussion, valuable opportunities for learners to develop and improve their meta-cognitive abilities might potentially be lost. The findings further indicated that a focus on the mere correction of learners’ errors probably denied learners opportunities to develop a mathematical discourse. The results of the investigation illuminated that an emphasis on achievement during assessment, together with a disapproving disposition towards errors among teachers and learners, were hindrances. They acted as barriers to engendering a socio-constructivist learning environment in which interactions with learners’ errors could enhance learning and establish a negotiating mathematical community. A concurrence between the teachers’ prevalent teaching approach and their mathematical beliefs was confirmed. However, in two of the four cases, a dissonance was revealed between their prevalent teaching approach and their interaction with learners’ errors. Interaction with learners’ mathematical errors was hence identified as a separate and discrete component of a teacher’s practice. The findings suggest the explicit inclusion of error-handling in reform-oriented teacher-training and professional development courses to utilize learners’ mathematical errors more constructively.<br>Dissertation (MEd)--University of Pretoria, 2010.<br>Science, Mathematics and Technology Education<br>unrestricted
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Yoder, Gina Borgioli. "Understanding mathematics teachers' constructions of equitable mathematics pedagogy." [Bloomington, Ind.] : Indiana University, 2008. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3330796.
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Thesis (Ph.D.)--Indiana University, School of Education, 2008.<br>Title from PDF t.p. (viewed on Jul 21, 2009). Source: Dissertation Abstracts International, Volume: 69-10, Section: A, page: 3849. Adviser: Signe Kastberg.
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Bucci, Terri Teal. "Expert mathematics teachers' parallels to worldviews : investigating pedagogical responses to novice mathematics teachers' concerns /." The Ohio State University, 1999. http://rave.ohiolink.edu/etdc/view?acc_num=osu1488186329503314.
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Leung, King-shun. "Pre-service teachers' attitudes towards mathematics and mathematics education /." Hong Kong : University of Hong Kong, 1996. http://sunzi.lib.hku.hk/hkuto/record.jsp?B17595848.
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Kurt, Gonul. "Pre-service Elementary Mathematics Teachers." Phd thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612740/index.pdf.
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The current study seeks to investigate pre-service elementary mathematics teachers&rsquo<br>(PEMTs&rsquo<br>) self-regulated learning (SRL) strategies within the context of their teaching practices in the field work. It was aimed to explore the SRL processes and strategies of four PEMTs while preparing mathematics lessons at their practice schools. In addition to PEMTs&rsquo<br>SRL strategies, the changes and adaptations through their teaching practices and reasons of those changes were also examined in the study. In total 22 pre-interviews and 22 post-interviews were made through the study. Observations were also performed for each teaching practice. Besides observations, PEMTs&rsquo<br>end of semester reflection papers in the context of Teaching Practice course were examined in the study. In addition to those multiple data sources, initial interviews representing detailed information about the participants were also analyzed.
The overall data were analyzed by using the SRL framework combined and adapted from Zimmerman&rsquo<br>s and Pintrich&rsquo<br>s SRL models. The findings of the pre-interviews revealed that PEMTs began with a &lsquo<br>lesson planning process&rsquo<br>reflecting the forethought phase. This phase included searching resources, arranging and organizing the available sources, asking for help and feedback when needed, mental planning of the lesson, and setting goals for the teaching session. These strategies were considered as cognitive self-regulation strategies. In addition to cognitive SRL strategies, motivational factors such as self-efficacy, perception of task, and intrinsic interest were appeared in the study. Post-interviews reflecting the self-reflection phase revealed that PEMTs had a self-evaluation process covering various issues for their teaching sessions as a final step through the study. Finally, it was seen that contextual issues related to teaching practice played a substantial role in PEMTs&rsquo<br>SRL strategies.
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Kaplan, Merve. "Pre-service Elementary Mathematics Teachers." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12613176/index.pdf.
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Mathematics education could and should benefit from technology in order to improve teaching and learning, particularly in topics where visualizations and connections to other concepts are needed. Handheld technologies such as graphing calculators can provide students with visualization, confirmation and exploration of problems and concepts they are learning. Handheld graphing technologies have been taken place widely in elementary and secondary level mathematics courses and considered to be beneficial in various means in mathematics education. Mathematics teachers have a crucial role in the use of GCs in mathematics classrooms. Therefore, pre-service teachers&rsquo<br>use of GCs and their views on the use of the tool in mathematics learning are considered to be valuable.
The purpose of this study was to investigate the difficulties pre-service elementary mathematics teachers face, and the benefits and constraints they emphasize while learning elementary school algebra through using the Casio Classpad after receiving an instruction with graphing calculators. The graphing calculator used in the present study is the Casio Classpad 330, which is an evolved handheld device combining features of graphing calculators, dynamic geometry environment, computer algebra systems and more.
The following two research problems guided the study: What are the difficulties do pre-service elementary mathematics teachers face while using Classpad in learning elementary school algebra after receiving an instruction with graphing calculators? What benefits and constraints do pre-service elementary mathematics teachers emphasize while learning elementary school algebra through using Classpad after receiving an instruction with graphing calculators?
With the aim of investigating the views of a group of pre-service elementary mathematics teachers, qualitative research strategies were used. The data was collected and analyzed by means of a case study design. Classroom observations, a questionnaire, and focus group interviews were the main data sources of the existing study. The study was carried out with 21 pre-service elementary mathematics teachers. In the classroom studies elementary level algebra was taught to the participants with the use of Classpad as a main tool by giving one tool to each of the participants. Classroom observations ended in five weeks &ndash<br>20 courses &ndash<br>including one week of a training period. After the classroom observations, participants filled out a questionnaire including five open-ended questions about the classroom studies. Finally, data collection procedure was ended with three focus group interviews. The data was analyzed with qualitative means by transcribing and analyzing the observation records, answers of the questionnaire, and records of the three interviews.
Results revealed that pre-service teachers&rsquo<br>view Classpad in three categories<br>as a personal tool, as an educational tool, and the relationship between CP and motivation. They viewed CP as a personal tool that they were eager to use the tool in every level of mathematics from elementary to mastering degrees. As an educational tool, they preferred to use the tool as a teacher by giving some cautions that teachers and students should be careful with. Lastly, they considered that the tool has a positive effect on motivation when used appropriately. Pre-service elementary mathematics teachers faced some difficulties in the beginning courses of the classroom studies which was their learning period of how to use CP and they overcome most of the difficulties at the end of the classroom studies. As the new elementary school level mathematics curriculum encourages the use of various technologies in teaching and learning of mathematics, the results of this study will have useful implications for mathematics teachers and curriculum developers.
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Roddy, Mark R. "Mathematics teachers' conceptions of "connections." /." Thesis, Connect to this title online; UW restricted, 1992. http://hdl.handle.net/1773/7838.
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Leung, King-shun, and 梁景信. "Pre-service teachers' attitudes towards mathematics and mathematics education." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1996. http://hub.hku.hk/bib/B30106515.
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Tracy, Jacob Dennis, and Jacob Dennis Tracy. "Mapping Pre-Service Teacher Talk: Variations in Talk About Mathematics, Ability, and Themselves as Mathematical Learners." Diss., The University of Arizona, 2017. http://hdl.handle.net/10150/625620.
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It has been argued that teachers do not always teach in the ways their teacher education programs promoted. One cause of this problem has to do with teachers' conceptions about mathematics and ability being incompatible with the visions of mathematics that teacher educators promote. For example, teacher educators may emphasize the need for conceptual understanding but a teacher who equates understanding with being correct and fast will enact this goal differently from someone who expects students to be able to explain and communicate their understanding. The way a teacher understands what it means to do mathematics and be good at mathematics will influence their future teaching. Furthermore, the messages teachers send to their students about who they are as mathematical learners are full of messages about what it means to do and be good at mathematics. Additionally, these messages can have a long-term impact on how those students view themselves and the decisions they make for their future.
This study uses qualitative methods to better understand pre-service teacher (PST) talk, how their talk relates, and how their talk changes over time. I describe PST talk as it relates to mathematics (M), ability (A), and themselves as mathematical learners (P) (the three components of the MAP framework). This study took place with the PSTs in two sections of a mathematical content course for elementary school teachers taught by the researcher. First, using grounded theory, I developed codes to understand how these PSTs talked in regards to the three components and applied these codes to written reflections at the beginning and end of our course. After analyzing the data I selected and interviewed 14 PSTs one year after our course. Again, I applied the same codes to their talk in the interview to see how their talk continued to change. Select interview PSTs were then chosen to represent common and uncommon examples of PST talk.
Findings from this study show that talk across the MAP framework was related and that this talk became more standards-aligned by the end of the content course. However, the findings also provide a much more nuanced insight into different relationships and changes in talk. One finding shows that when variations in PST talk existed between framework components it was most commonly due to PSTs talking about mathematics in a more traditional way than when they talked about ability or themselves as mathematical learners. Another finding shows that during the interviews (one year after our course) PSTs continued to talk about themselves and abilities in mostly standards-aligned ways but reverted towards more traditional talk when discussing mathematics and how someone demonstrates their mathematical understanding.
These findings have important implications for future research and for teacher educators. First, the relationships between the components of the MAP framework suggest that addressing PSTs conceptions of mathematics and their conceptions of ability may affect how they talk about individuals as mathematical learners. Second, the findings show which aspects in the MAP framework PSTs more readily talk about in standards-aligned ways. This provides insights into which areas teacher educators may want to emphasize more in trying to promote changes in PST talk. Lastly, these findings also show which aspects of PST talk maintain over a longer time frame and which aspects need a greater sustained emphasis. All of this is necessary as we support PSTs to think and talk about mathematics and mathematical abilities in standards-aligned ways that are truly supportive of all students.
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Dickerson, David S. "High school mathematics teachers' understandings of the purposes of mathematical proof." Related electronic resource: Current Research at SU : database of SU dissertations, recent titles available full text, 2008. http://wwwlib.umi.com/cr/syr/main.
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Prestwich, Paula Jeffery. "Mathematical Interactions between Teachers and Students in the Finnish Mathematics Classroom." BYU ScholarsArchive, 2015. https://scholarsarchive.byu.edu/etd/5785.
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The Finnish school system has figured prominently in the PISA international assessments for over 10 years. Many reasons are given for Finnish success yet few of them focus on what is happening in the mathematics classroom. This study addresses the question of “What does mathematics instruction in the Finnish mathematics classroom look like?” Eight Finnish mathematics classes, from 6th – 9th grade were recorded, translated, and analyzed using the Mathematical Quality of Instruction (MQI) 2013 video coding protocol. Other aspects and observations of these classes also are discussed. Although the study is small, this study gives a view into the nature of some Finnish mathematics classrooms.
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Mathis, Kimber Anne. "Secondary Preservice Mathematics Teachers' Curricular Reasoning." BYU ScholarsArchive, 2019. https://scholarsarchive.byu.edu/etd/7511.
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Researchers have found that teachers' decisions affect students' opportunity to learn. Prior researchers have investigated teachers' decisions while planning, implementing, or reflecting on lessons, but few researchers have studied teachers' decisions and their reasoning throughout the teaching process. It is important to study teachers' reasoning for why they make the decisions they do throughout the teaching process. Furthermore, because inservice and preservice teachers differ in experience and available resources that they draw on while making decisions, it is helpful to consider the resources PSTs' draw on while reasoning. Curricular reasoning is a framework that describes teachers' thinking processes when making decisions during the teaching process. This study investigated secondary preservice teachers' decisions and curricular reasoning throughout the teaching process. Data were collected from two groups of secondary preservice teachers in a mathematics methods course focused on student thinking and mathematics. Results revealed that the preservice teachers used all seven curricular reasoning strands, especially drawing on mathematical meanings, mapping learning trajectories, and considering learners' perspectives. Specifically, this study demonstrates ways in which preservice teachers reason about their decisions and the intertwined nature of their curricular reasoning. The results from this study also imply that it may be helpful to consider the resources PSTs have access to, including their instructor, and that the order of their lesson planning may allow support for the mathematical learning trajectories within individual lessons. This study also provides validation for the curricular reasoning framework described by Dingman, Teuscher, Olson, and Kasmer (in press), provides subcategories of curricular reasoning strands, and has implications for teacher education.
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Feldhaus, C. Adam. "How Mathematical Disposition and Intellectual Development Influence Teacher Candidates' Mathematical Knowledge for Teaching in a Mathematics Course for Elementary School Teachers." Ohio University / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1343753975.
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Ferreira, Rosa Antónia De Oliveira Figueiredo Tomás Presmeg Norma C. "Portuguese mathematics student teachers' evolving teaching modes a modified teacher development experiment /." Normal, Ill. : Illinois State University, 2005. http://wwwlib.umi.com/cr/ilstu/fullcit?p3196645.
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Thesis (Ph. D.)--Illinois State University, 2005.<br>Title from title page screen, viewed September 25, 2006. Dissertation Committee: Norma C. Presmeg (chair), Nerida F. Ellerton, Beverly S. Rich. Includes bibliographical references leaves and abstract. Also available in print.
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Bowers, David Matthew. "Impact of Mathematics Courses for Prospective Teachers on their Mathematical Knowledge for Teaching." The Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1460973988.
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Cronk, Carol Elizabeth. "Effects of mathematics professional development on growth in teacher mathematical content knowledge." CSUSB ScholarWorks, 2012. https://scholarworks.lib.csusb.edu/etd-project/139.
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The purpose of this project was to determine if there was a correlation between teachers' scores on fractions items on project assessments and the percentage of participation time in professional development activities.
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Ferdinand, Victor Allen. "An elementary mathematics methods course and preservice teachers' beliefs about mathematics and mathematical pedagogy: A case study /." The Ohio State University, 1999. http://rave.ohiolink.edu/etdc/view?acc_num=osu1488191124570001.
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Tang, Cham-wing. "The attitudes of secondary school mathematics teachers towards the teaching of mathematics by using computers." Hong Kong : University of Hong Kong, 1996. http://sunzi.lib.hku.hk/hkuto/record.jsp?B17601125.
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Kayan, Fatma. "A Study On Preservice Elementary Mathematics Teachers." Master's thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/12608104/index.pdf.
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This study analyzes the kinds of beliefs pre-service elementary mathematics teachers hold about mathematical problem solving, and investigates whether, or not, gender and university attended have any significant effect on their problem solving beliefs. The sample of the present study consisted of 244 senior undergraduate students studying in Elementary Mathematics Teacher Education programs at 5 different universities located in Ankara, Bolu, and Samsun. Data were collected in spring semester of 2005-2006 academic years. Participants completed a survey composed of three parts as demographic information sheet, questionnaire items, and non-routine mathematics problems.
The results of the study showed that in general the pre-service elementary mathematics teachers indicated positive beliefs about mathematical problem solving. However, they still had several traditional beliefs related to the importance of computational skills in mathematics education, and following predetermined sequence of steps while solving problems. Moreover, a number of pre-service teachers appeared to highly value problems that are directly related to the mathematics curriculum, and do not require spending too much time. Also, it was found that although the pre-service teachers theoretically appreciated the importance and role of the technology while solving problems, this belief was not apparent in their comments about non-routine problems. In addition to these, the present study indicated that female and male pre-service teachers did not differ in terms of their beliefs about mathematical problem solving. However, the pre-service teachers&rsquo<br>beliefs showed significant difference when the universities attended was concerned.
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Eryilmaz, Aysegul. "Development In Secondary Pre-service Mathematics Teachers." Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/2/12606075/index.pdf.
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The purpose of this study was to determine the fourteen pre-service mathematics teachers&rsquo<br>beliefs about mathematics and teaching and learning of mathematics, and their expectations and acquisitions of the Five Year Integrated Program in the Department of Secondary Science and Mathematics Education at Gazi University, Turkey, and the development in their beliefs during the last three semesters of the program.
The data were collected through four longitudinal interviews from each participant. Data collection process began at the beginning of the spring semester of the 2002&ndash<br>2003 academic year and ended at the end of spring semester of the 2003&ndash<br>2004 academic year. The interviews were tape-recorded and transcribed verbatim to produce a complete record of the interviewees&rsquo<br>conversation.
The findings that were gathered from analyses of individual interviews show that pre-service teachers came to teacher education programs with some beliefs about mathematics, and teaching and learning of it. The interviews have provided evidence that pre-service teachers seemed to develop some new beliefs about mathematics during the first 3.5 years of program, and that the courses of the last 1.5 years of the program improved and consolidated pre-service teachers&rsquo<br>attitudes towards and beliefs about mathematics, and beliefs about the teaching and learning of mathematics.
The research findings lead to the conclusion that OFD406, OFD408, OFD509 and OFD501 courses were perceived as the most effective courses and OFD402, OFD410 and OFD507 courses were considered as the least effective courses of the program.
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Kim, In Hong. "Preschool Teachers’ Knowledge of Children’s Mathematical Development and Beliefs About Teaching Mathematics." Thesis, University of North Texas, 2013. https://digital.library.unt.edu/ark:/67531/metadc407808/.
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Early childhood education emphasizes the need of providing high quality early childhood mathematics programs for preschool children. However, there is little research that examines the importance of preschool children’s mathematical knowledge development and teachers’ beliefs about how to teach mathematics to young children. The purposes of this study were to investigate pre-service and in-service preschool teachers’ knowledge of children’s mathematical development and their beliefs about teaching mathematics in the preschool classroom and also to determine how experience differentiates the two groups. This research employed a non-experimental research design with convenient sampling. Ninety-eight pre-service teachers and seventy-seven in-service preschool teachers participated in the research. The Knowledge of Mathematical Development survey (KMD) and the Beliefs survey were used to investigate possible differences between pre-service and in-service preschool teachers’ knowledge of children’s mathematical development and between their beliefs about teaching mathematics. The findings of this study indicate a statistically significant difference between pre-service teachers and in-service preschool teachers in relation to their knowledge of mathematical development. This finding shows that pre-service teachers’ knowledge of children’s mathematical development is somewhat limited; most pre-service teachers have difficulty identifying the process of preschool children’s development of mathematics skills. A second finding reveals a statistically significant difference between pre-service teachers and in-service preschool teachers in relation to their beliefs about (a) age-appropriateness of mathematics instruction in the early childhood classroom, (b) social and emotional versus mathematical development as a primary goal of the preschool curriculum, and (c) teacher comfort with mathematics instruction. No statistically significant difference was found between pre-service teachers’ and in-service preschool teachers’ beliefs regarding the locus of generation of mathematical knowledge. Both groups believe it is the teacher’s responsibility to intentionally teach mathematics to young children. This result suggests that both pre-service and in-service preschool teachers believe that teachers should play a central role in the teaching of mathematics to preschool children. However, both groups would need appropriate education and training to learn how to teach mathematics to young children. Pre-service and in-service preschool teachers’ varying levels of experiences and different levels of education may help explain why there is a significant difference between their knowledge of mathematical development and beliefs about teaching mathematics.
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Othman, Mohd Yusof. "An investigation into the teacher craft of secondary school mathematics teachers." Thesis, University of Oxford, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.396074.
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Schwerdtfeger, Sara. "Elementary preservice teachers’ and elementary inservice teachers’ knowledge of mathematical modeling." Diss., Kansas State University, 2017. http://hdl.handle.net/2097/35730.
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Doctor of Philosophy<br>Curriculum and Instruction Programs<br>Sherri L. Martinie<br>This study examined the differences in knowledge of mathematical modeling between a group of elementary preservice teachers and a group of elementary inservice teachers. Mathematical modeling has recently come to the forefront of elementary mathematics classrooms because of the call to add mathematical modeling tasks in mathematics classes through the Common Core State Standards (NGACBP & CCSS, 2010). According to Ellis and Berry (2005), the recommendation for teachers to think differently about teaching mathematics includes more comprehensive knowledge of mathematics continuing beyond rote facts, skills, and procedures. Although preservice teachers and inservice teachers vary in teaching experience, their knowledge in mathematical modeling may be similar as, quite possibly, neither had explicit instruction during their elementary education programs. In learning and teaching mathematics, the modeling approach can be useful by directing the focus on creating generalizable and reusable relations rather than solving a particular problem (Doerr & English, 2003).
This survey research, tailored design method employed a brief online survey to a convenience sample of preservice and inservice elementary teachers to gain information about their knowledge of mathematical modeling in the elementary school classroom. For the purposes of this research, the definition of mathematical modeling was applying mathematics to real world problems with the purpose of understanding the problem. This study used non-experimental, survey research to determine if there was a statistical significant difference between preservice teachers’ and inservice teachers’ knowledge of mathematical modeling. Independent t-tests were used to determine there was no statistical significant difference in elementary preservice teachers and elementary inservice teachers knowledge of mathematical modeling. Another aspect of this research was to determine if any variables were able to predict the preservice or inservice teachers’ knowledge of mathematical modeling. Multiple regression was used to determine the variables of years of teaching experience, grade level currently taught, or type of school in which teaching occurs did not have any predictor aspects of knowledge of mathematical modeling. ANOVA was used to determine there was no relationship between preservice and inservice teachers’ perceived knowledge of mathematical modeling and their actual knowledge of mathematical modeling
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Pamuk, Savas. "Pre-service Science And Mathematics Teachers." Master's thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/2/12608465/index.pdf.
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The purpose of this study was (1) to explore pre-service science and mathematics teachers&rsquo<br>levels of computer self-efficacy and attitude towards computers, (2) to investigate the effects of gender, grade level, major of study, and computer ownership of pre-service science and mathematics teachers on computer self-efficacy and attitudes towards computers, and (3) to examine the relationship between computer self-efficacy and attitudes towards.
For this study 650 students from two departments, which were Elementary Science Education and Elementary Mathematics Education, of three public universities in Ankara participated. Also, students were enrolled in first and fourth grades. The scales were administrated during 2006 Fall semester. Computer Self-efficacy Scale and Computer Attitude Scale which had four sub-scales, namely anxiety confidence, liking, and usefulness were used to determine pre-service teachers&rsquo<br>computer self-efficacy and attitudes towards computer levels. Moreover, the
v
questionnaire had some questions that asked demographic characteristics of participants.
The results indicated that pre-service Science and Mathematics teachers had high computer self-efficacy and attitude levels. Furthermore, participants&rsquo<br>gender was not a significant factor on their computer self-efficacy and computer attitude except for liking sub-scale. Males liked more computer than females. Major of participants did not have any effect on computer self-efficacy and computer attitude. Grade level was an important factor for computer self-efficacy and attitude<br>fourth graders had higher scores on both scales. Computer owner participants had significantly higher scores of computer self-efficacy and attitudes towards computers. Finally, results showed that participants&rsquo<br>computer self-efficacy scores were related to sub-scale scores of computer attitude scale.
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Karahasan, Burcu. "Preservice Secondary Mathematics Teachers'." Phd thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612025/index.pdf.
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The main purpose of the study was to understand preservice secondary mathematics teachers&rsquo<br>pedagogical content knowledge of composite and inverse functions.
The study was conducted with three preservice secondary mathematics teachers in Graduate School of Education at Bilkent University. The instruments of the study were qualitative in nature and in four different types of data forms: observations, interviews, documents, and audiovisual materials. Observation data came from fieldnotes by conducting an observation of lessons participants taught at Private Bilkent High School. Interview data came from the transcriptions of semi-structured interviews. Document data came from survey of function knowledge, journal writings, vignettes, and lesson plans. Audiovisual data came from the examination of the videotape of the lessons participants taught.
The findings reveal that preservice secondary mathematics teachers&rsquo<br>knowledge levels in components of pedagogical content knowledge were not at the desired levels and also they experienced difficulty while integrating that knowledge. The results of the study indicate that teacher education should provide courses that cover the content relevant to students in order to assure both depth and breadth in subject matter knowledge of the preservice teachers. Moreover, the activities which mimics the classroom cases and assures the integration of knowledge components like vignettes would be used in teacher education programs. Results can inform educational practices, and reforms in Turkey, and provide a basis for further research, with increased pedagogical content knowledge as the ultimate goal.
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Alpaslan, Mustafa. "Prospective Elementary Mathematics Teachers'." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613610/index.pdf.
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The aim of this study was to investigate the roles of year in teacher education program and gender on prospective elementary mathematics teachers&rsquo<br>knowledge of history of mathematics and their attitudes and beliefs towards the use of history of mathematics in the teaching and learning of mathematics. Moreover, the relationship between prospective teachers&rsquo<br>knowledge of history of mathematics and their attitudes and beliefs about the history of mathematics usage was examined.
The data of the study were obtained from 1593 prospective teachers who were enrolled in first, second, third, and fourth years of Elementary Mathematics Education undergraduate program of nine universities located in seven geographical regions of Turkey through clustered random sampling. The scales used in the data collection were Knowledge of History of Mathematics (KHM) Test and Attitudes and Beliefs towards the Use of History of Mathematics in Mathematics Education (ABHME) Questionnaire.
The two-way ANOVA results clarified that prospective teachers&rsquo<br>knowledge of history of mathematics improved as the years enrolled in the program increased. Results also revealed that males had significantly higher mean scores on KHM Test than females in the first two years of the program. In the third and fourth years, this situation reversed such that females had higher KHM mean scores, but this difference was not statistically significant.
Results also showed that prospective teachers&rsquo<br>ABHME mean scores increased as years of enrollment in the program increased. More clearly, senior prospective teachers&rsquo<br>relevant mean scores were significantly higher than that of freshmen and sophomores, and juniors&rsquo<br>attitudes and beliefs were significantly higher than that of freshmen. In addition, females&rsquo<br>ABHME mean scores were significantly higher than that of males for all years.
Lastly, a positive correlation between prospective elementary mathematics teachers&rsquo<br>KHM mean scores and ABHME mean scores was found through Pearson product-moment correlation analysis.
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McCabe, Corinne. "Occasioning change in mathematics teachers' beliefs." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape17/PQDD_0006/MQ34458.pdf.
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Ozen, Mehtap. "Investigation Of Pre-service Mathematics Teachers." Master's thesis, METU, 2013. http://etd.lib.metu.edu.tr/upload/12615667/index.pdf.
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The aim of the study is to investigate pre-service middle school mathematics
teachers&rsquo<br>critical thinking processes through statistical and probabilistic knowledge
in the context of popular media texts. The study was conducted with a qualitative
case study method. Participants of the study consisted of four senior pre-service
middle school mathematics teachers enrolled in a public university. Data were
collected through in-depth interviews with the participants. Analysis of the data
was conducted on the basis of two dimentions<br>critical thinking skills, and statistical
and probabilistic knowledge.
The results of the study indicated that pre-service middle school mathematics
teachers reflected different critical thinking skills and made use of different
statistical and probabilistic knowledge in different contexts. They mostly reflected
interpretation skill on the basis of their statistical and probabilistic knowledge.
Moreover, to what extent they made use of critical thinking skills was differentiated on the basis of their statistical and probabilistic knowledge. They reflected
complicated critical thinking process dealing with conditional probability
statements. They had difficulty with probabilistic statements underlying conditional
probability especially in this process.
36
Ilaslan, Serap. "Middle School Mathematics Teachers'." Master's thesis, METU, 2013. http://etd.lib.metu.edu.tr/upload/12615681/index.pdf.
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The purpose of this study was to reveal and define the problems middle school mathematics teachers experienced in applying transformational geometry and the solutions they proposed to overcome these problems. A total of six elementary mathematics teachers (grades 5-8) in Ankara participated in the study. The data were collected by means of one-to-one interviews with the participants. The findings indicated that the participants&rsquo<br>problems divided into three parts. These problems were problems arising from teachers, problems arising from students and problems arising from resources. The participants expressed challenges in teaching due to lack of materials, textbooks, and visualization ability of teachers, classroom size, and time. According to the findings, rotation was the most problematic issue. The participants claimed insufficient technological materials were the reason of this problem. Participants did not feel confidence enough to implement transformational geometry especially in rotation since they lacked adequate training and support. The participants claimed that the Ministry&rsquo<br>s support should be increased, concrete and technological materials should be sufficient in number, and the duration of transformational geometry lesson should be increased.
37
McConnell, Marcella Kay. "SECONDARY MATHEMATICS PRESERVICE TEACHERS' BEGINNING STORY." Kent State University / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=kent1447277739.
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Heffernan, Kayla. "Promoting Preservice Teachers' Mathematics Identity Exploration." Diss., Temple University Libraries, 2016. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/371318.
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Math & Science Education<br>Ph.D.<br>Despite the effort of teacher education programs, early childhood, and elementary preservice teachers often fear mathematics, have high mathematics anxiety, hold negative self-perceptions in relation to mathematics, find mathematics irrelevant, and have low mathematics achievement. The aim of this study was to implement and investigate the influence of an identity exploration intervention on preservice teachers’ identities in mathematics during a required mathematics content course of a teacher education program to provide insight into the patterns of change in identity and motivation towards mathematics. Twenty-four preservice teachers focusing on either early childhood education or non-mathematics secondary education were included in this study from a college algebra course specifically designed for education majors. Data collection included surveys, identity-related worksheets, identity exploration tasks, reflective writing assignments, interviews, and observations. Data was analyzed using the Dynamics Systems Model of Role-Identity and the principles for promoting identity exploration (Kaplan, 2014). This model highlights the interaction between self-perceptions, beliefs, purposes and goals, and actions. Analysis led to identification of patterns of change in student role identities and themes across cases that highlight the differences in change between the early childhood participants and secondary education participants, the influence of initial identity, and the impact of perceived relevance on identity exploration. This study contributes to the understanding of identity exploration in a mathematical setting and discusses future directions of research in promotion of identity exploration in preservice teachers.<br>Temple University--Theses
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White-Fredette, Kimberly. "What is Mathematics? An Exploration of Teachers' Philosophies of Mathematics during a Time of Curriculum Reform." unrestricted, 2009. http://etd.gsu.edu/theses/available/etd-05232009-112403/.
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Thesis (Ph. D.)--Georgia State University, 2009.<br>Title from file title page. David W. Stinson, committee chair; Pier A. Junor Clarke, Jennifer Esposito, Brian A. Williams, committee members. Description based on contents viewed Nov. 12, 2009. Includes bibliographical references (p. 196-217).
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Aydogan, Yenmez Arzu. "An Investigation Of In-service Secondary Mathematics Teachers." Phd thesis, METU, 2012. http://etd.lib.metu.edu.tr/upload/12614991/index.pdf.
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Although an increasing number of research studies in mathematics education have begun focusing their efforts on mathematical modeling as a need for change to convey mathematical ideas beyond schools, there is not enough information about the nature of the teacher knowledge for effective use of modeling in mathematics teaching and how this knowledge evolves. The goal of this study is to investigate teachers&rsquo<br>evolving knowledge when they engage in professional development activities based on lesson study cycle from modeling perspective. Professional development program of this study included a cyclical process. Lasting a month, each cycle consisted of meeting before the implementation of the model eliciting activity, implementation of the activity and meeting after the implementation. The study took five months and was conducted in two public schools. The participants were four in-service mathematics teachers where two teachers were selected from each school by purposive sampling. The study was designed as case study. Data analyses were conducted during and after data collection and with two approaches as with-in case and cross-case analysis. As the professional development activities created learning environments for the teachers to develop their models for teaching mathematics from a modeling perspective, the results of this study showed that the professional development program used in the study had a positive effect on teachers&rsquo<br>evolving pedagogical content knowledge and pedagogical knowledge based on the theoretical and empirical backgrounds in the literature. Besides, implications, suggestions for professional development, for teachers and for further research are provided.
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Ilgun, Munevver. "An Investigation Of Prospective Elementary Mathematics Teachers." Master's thesis, METU, 2013. http://etd.lib.metu.edu.tr/upload/12615447/index.pdf.
Full textAbstract:
The purpose of this study was to determine performance of prospective elementary mathematics teachers on answering the items handling the probabilistic misconceptions. The other aim was to investigate the underlying reasons behind these misconceptions of prospective elementary mathematics teachers. To address these aims, qualitative
approach was performed.
The sample of this study was obtained through convenience sampling. Data were gathered during 2011-2012 spring semester by administering Probability Misconception Questionnaire to 12 senior prospective elementary mathematics teachers studying at faculty of education in Sakarya and through semi-structured interviews conducted with those prospective teachers.
None of the participants provided correct answers to items addressing misconceptions regarding time axis fallacy and compound event. Furthermore, less than half of the participants provide the correct answer to items handling
misconceptions regarding conditional probability, effect of sample size, conjunction fallacy and representativeness.
Also, in this study, reasons behind those misconceptions were determined.
Particularly, focusing on the first event was found to be a reason underlying time axis fallacy misconception. Also, another reason behind this misconception was misinterpretation of the problem, which also resulted in misconception regarding conditional probability. Furthermore, focusing on the ratio was found to be a reason underlying misconception regarding effect of sample size. Several participants solely focused on the narrative, which lead to misconception regarding conjunction fallacy. Moreover, seeking representativeness in samples was found to be a reason underlying misconception regarding representativeness. Lastly, in this study, it was found that ignoring order of outcomes resulted in misconception regarding compound event.
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Marjanovich, Angel. "Pre-service Teachers' Perceptions of Their K-12 Mathematics Education Experiences and Their Future Mathematics Teaching Practices." OpenSIUC, 2016. https://opensiuc.lib.siu.edu/theses/1876.
Full textAbstract:
So many students enter college without the conceptual knowledge of mathematical principles needed in order to succeed in higher education. Pre-service teachers entering teacher education programs are not exempt from this dilemma. While training to be educators, many pre-service teachers struggle to understand the concepts behind elementary level mathematics. These pre-service teachers will then continue in the education field and teach mathematics to the future generation. Will they teach their students the way they were taught? The purpose of this study is to investigate how pre-service teachers view their past experiences with math during their K-12 education and to compare those views with their perceptions of how they will teach math in the future. Using both quantitative and qualitative methods through surveys, short answer responses, and interviews, this study examines 38 pre-service teachers currently taking math methods courses at Southern Illinois University Carbondale in order to find out (1) how pre-service teachers view their past experiences with mathematics during their K-12 education, (2) what pre-service teachers' visions of how they will teach mathematics to their students in the future are, (3) which appears to have more influence on pre-service teachers' perceptions of their own future math teaching practices: their past learning experiences or their current teacher preparation program, and (4) what pre-service teachers perceive as effective ways of mathematics teaching and learning. Findings revealed that pre-service teachers tend to view their past K-12 math education experiences as mostly consisting of steps and procedures they were taught to memorize, but they have strong feelings about teaching mathematics for conceptual understanding instead of focusing on memorization like they were taught during their math classes in K-12 education. The results from this study also revealed that pre-service teachers feel it will be difficult not to fall back on the way they were taught mathematics when encountering unfamiliar concepts they have to teach. The need for more field experiences and learning how to incorporate project-based learning and presenting diverse ways of problem solving also came out as ways to improve teacher education programs.
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Appova, Aina K. Arbaugh Fran. "Teacher opportunities to learn responses and recommendations of grades 6-12 mathematics teachers from one district /." Diss., Columbia, Mo. : University of Missouri--Columbia, 2009. http://hdl.handle.net/10355/6845.
Full textAbstract:
Title from PDF of title page (University of Missouri--Columbia, viewed on Apr. 12, 2010). The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. Dissertation advisor: Dr. Fran Arbaugh. Vita. Includes bibliographical references.
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Kayan, Ruhan. "Construction Of A Mathematics Related Belief Scale Forelementary Preservice Mathematics Teachers." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613003/index.pdf.
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The purpose of this study is to construct a valid and reliable mathematics related beliefs scale for determining preservice elementary mathematics teachers&rsquo<br>mathematics related beliefs in Turkey and investigating the impact of the gender and year level on the preservice mathematics teachers&rsquo<br>mathematics related beliefs. For the first purpose, the &ldquo<br>Mathematics Related Belief Scale (MRBS)&rdquo<br>was developed based on the combination of the belief frameworks in the literature. Data were collected from ten different universities from Ankara, Balikesir, Burdur, Bolu, Gaziantep, Izmir, Van, and Samsun in the spring semester of 2009-2010 academic year. A total of 584 third and fourth year preservice mathematics teachers participated in this study. Data were analyzed by descriptive and inferential statistics.
The results showed that MRBS was a valid and reliable scale which measured Turkish preservice teachers&rsquo<br>mathematics related beliefs. MRBS had two components &ldquo<br>constructivist beliefs&rdquo<br>and &ldquo<br>traditional beliefs&rdquo<br>of mathematics and teaching mathematics. There was a significant effect of gender on preservice teachers&rsquo<br>mathematics related beliefs. No significant difference in preservice teachers&rsquo<br>mathematics related beliefs was detected in terms of year level in the teacher education program. The MRBS could be used for investigating preservice teachers&rsquo<br>mathematics related beliefs in order to determine effective teacher education program experiences.
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Grigutsch, Stefan & Toerner Guenter. "World views of mathematics held by university teachers of mathematics science." Gerhard-Mercator-Universitaet Duisburg, 2002. http://www.ub.uni-duisburg.de/ETD-db/theses/available/duett-05272002-102811/.
Full textAbstract:
The present empirical study deals with the question of the (world) view of mathematics (i.e. the image of mathematics) held by university mathematics teachers in countries of German as a first lan-guage. The basis of this study is a voluntary survey by means of a closed questionnaire of 119 persons during an annual meeting of mathematicians. This questionnaire was on the whole employed for two other studies on mathematics teachers (N= 300) and pupils (N=1650). Four to five dimensions were defined by means of factor analysis and subsequently verified as relevant dimensions of the view of mathematics. These dimensions can be called the formalism aspect, the schema aspect, the process aspect, the application aspect and the Platonism aspect of mathematics. Attitudes towards these aspects differ on average, so that the "average" view of mathematics of university teachers is clearly accentuated in these five aspects. The process aspect acclaims the highest agreement, whereby the aspects formalism and application claim an average to above average assessment. In contrast, the Platonic aspect receives only weak to very weak agreement, and the schema aspect is on the whole rejected. Furthermore the structure of the view of mathematics resulting out of the relations between the dimensions is investigated. The part of the view of mathematics that is considered here contains two different viewpoints in content, namely the static view of mathematics as a system and the dynamic view of mathematics as a process. In contrast to the observa-tions in the other two populations the two viewpoints are not opposites. Mathematics is in the view of university teachers a comple-mentary toge-therness of both viewpoints. Their view of mathematics is insofar broader differentiated than the two other populations.
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Abdeljaber, Soha R. "High school mathematics teachers' perceptions of mathematics education in northwest Florida." Thesis, University of Phoenix, 2015. http://pqdtopen.proquest.com/#viewpdf?dispub=3731744.
Full textAbstract:
<p> In the United States, high school students have performed lower in mathematics than all the industrialized countries since the First International Study was administered in 1964. Studies revealed that a large number of high school graduates are not proficient in mathematics and are not ready for college mathematics or the workforce. This qualitative research intended to answer the question of why the U.S. high school students underperform in mathematics through teacher perceptions on the current curriculum and methods of instruction used in high school mathematics classes. The question was answered by exploring the perceptions of 12 high school mathematics teachers in northwest Florida through a survey of 16 open-ended questions and a focus group discussion that guided the research. Furthermore, the survey and focus group data were triangulated with teacher artifacts that included lesson plans. This resulted in an aggregate of 15 themes that included time, professional development, gap in the students’ knowledge, student encouragement, application to real world, resources, rigor, student encouragement, teacher collaboration, student ownership, standardized testing, traditional teaching, too many topics, two-tracks courses, practice and mental math, and student collaboration.</p><p> The findings of this research support the need to provide teachers with more time to teach, plan, and collaborate. Teachers also need more support from the educational leaders to provide professional development that will help teachers apply real-world, collaborative learning, and move away from the current traditional teaching that most of the participating teachers in this study prefer.</p>
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Sevis, Serife. "The Effects Of A Mathematics Teaching Methods Course On Pre-service Elementary Mathematics Teachers." Master's thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/2/12609644/index.pdf.
Full textAbstract:
The purpose of this study is to examine the effects of a mathematics teaching methods course on pre-service elementary mathematics teachers&rsquo<br>content knowledge for teaching mathematics (CKTM). In order to accomplish this purpose, pre-service mathematics teachers&rsquo<br>understanding of basic concepts and procedures in school mathematics, use of mathematical definitions, presentation of mathematical content to students, identification of common errors, misconceptions and solution strategies and evaluation of unusual solution methods were examined with the help of a multiple choice test.
The data were collected from 43 senior pre-service mathematics teachers from a teacher education program at a large public university in Ankara. The participants were given an 83-item test to measure their content knowledge for mathematics teaching at the beginning and after the methods course. The purpose of the pre- and post-test assessment was to measure the amount of change in the participants'<br>knowledge for mathematics teaching. The test was developed and piloted at the University of Michigan in the USA for Learning Mathematics for Teaching (LMT) Project. Quantitative data analysis techniques were used to answer the research questions.
The results indicated that there was a significant effect of the mathematics teaching methods course on pre-service teachers&rsquo<br>content knowledge for teaching mathematics. Moreover, the findings showed that there is no significant mean difference between male and female pre-service teachers, and between the pre-service teachers who have taken at least one mathematics teaching elective course and the ones who have not taken any elective course related to mathematics teaching in terms of their CKTM. Also, the study showed that there is a significant positive relationship between pre-service teachers&rsquo<br>CKTM and their academic achievement on undergraduate mathematics content courses.
The study is expected to make important contributions to the literature by providing information about whether the methods courses significantly contribute to pre-service teachers&rsquo<br>understanding of knowledge for mathematics teaching. Moreover, the findings of the study is hoped to inform teacher educators and policy makers about the needs and improvements in teacher preparation programs.
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Ozaytabak, Emel. "Factors Affecting Preservice Mathematics Teachers'." Master's thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/2/12605232/index.pdf.
Full textAbstract:
The purpose of this study was to examine the factors affecting preservice mathematics teachers&rsquo<br>decisions on probability teaching.
The sample of the study was 248 preservice mathematics teachers from Gazi University, Hacettepe University, and Middle East Technical University. According to the gender the number of females and males were 170 and 78 respectively.
To obtain necessary data for the study, the following measuring instruments were used: (1) Probability Achievement Test (PAT)<br>(2) Probability Misconception Test (PMT)<br>(3) Attitude toward Probability Teaching Scale (APTS)<br>(4) Attitude toward Probability Scale (APS). Only the third measuring instrument was developed and its reliability and validity was tested by the researcher. An interview was done with 12 preservice mathematics teachers from Gazi University, Hacettepe University, and Middle East Technical University.
The data of the study were analyzed by using SPSS and with qualitative techniques.
The results of the study demonstrated that there are some factors affecting preservice mathematics teachers&rsquo<br>decisions on probability teaching. These factors were their attitude toward probability, probability achievement and misconceptions. Subjects thought that gender would have no affect on their decision on probability teaching.
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Eroglu, Deniz. "Examining Prospective Elementary Mathematics Teachers'." Master's thesis, METU, 2012. http://etd.lib.metu.edu.tr/upload/12614005/index.pdf.
Full textAbstract:
The purpose of this study was to investigate the prospective teachers&rsquo<br>knowledge of mistakes held by elementary students in fractions and their proposed strategies to overcome those mistakes. The data were collected from 149 prospective elementary mathematics teachers enrolled in the elementary mathematics education programs from a public university in Central Anatolian Region. Fraction Knowledge Questionnaire was used to accomplish the purpose of the study. The data collection tool included nine open ended questions, and each question had two sub-tasks. In this study, the items in the &ldquo<br>Fraction Knowledge Questionnaire&rdquo<br>were analyzed in-depth in order to reach a detailed description of prospective teachers&rsquo<br>knowledge about students&rsquo<br>mistakes on fractions.
The results of this study revealed that prospective elementary mathematics teachers mostly could identify the students&rsquo<br>mistakes. However, although prospective teachers could notice the students&rsquo<br>mistakes, they could give superficial reasons for these mistakes. Furthermore, verbal explanations, using area representation, using real life model, reviewing prior knowledge, teaching standard algorithm, asking guided questions, using simple examples, using counter examples, using drill and practice, making students aware of their mistakes, and increasing students&rsquo<br>motivation were the suggested strategies by prospective teachers in order to overcome students&rsquo<br>mistakes in fractions.
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Chung, Chih-Hung. "Investigating Teachers’ Backgrounds and Instructional Practices to Improve Mathematics Teacher Training Programs." Thesis, University of North Texas, 2015. https://digital.library.unt.edu/ark:/67531/metadc799534/.
Full textAbstract:
In recent years, considerable concern has arisen over cross-national student’s math achievement. A number of studies focusing on eighth grade student’s math achievement have been published. However, the most important role we should consider is not only students, but also teachers. A good teaching training program could help teachers improve their teaching expertise and student’s math achievement. Moreover, most studies only focused on explained predictions of the effect between potential factors. Therefore, the purpose of this study is to implement a hierarchical linear model and cluster analysis techniques to re-examine the Trends in International Mathematics and Science Study (TIMSS) 2011 among eighth grade students in the United States (U.S.), South Korea, Singapore, and Taiwan. These techniques were applied to provide a teacher characteristics and student math achievement model and identify a new institutional typology based on the pattern of teacher characteristic types and countries. Based on these patterns and model, this study presented the findings, as well as suggestions for improving educational policies and teaching training program in, South Korea, Singapore, Taiwan, and the U.S.