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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.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.
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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Pennisi, Sarah-Jean Barrett Jeffrey Edward McCrone Sharon. "Making improving practice part of teachers' practice in the context of teaching geometry." Normal, Ill. : Illinois State University, 2004. http://wwwlib.umi.com/cr/ilstu/fullcit?p3128286.
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Thesis (Ph. D.)--Illinois State University, 2004.Title from title page screen, viewed Jan. 11, 2005. Dissertation Committee: Jeffrey Barrett, Sharon McCrone (co-chairs), Saad El-Zanati. Includes bibliographical references (leaves 192-204) and abstract. Also available in print.
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Strassfeld, Brenda Carol. "An investigation about high school mathematics teachers' beliefs about teaching geometry." Thesis, University of Plymouth, 2008. http://hdl.handle.net/10026.1/1701.
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There continues to exist a dilemma about how, why and when geometry should be taught. The aim of this study was to examine high school mathematics teachers' beliefs about geometry and its teaching with respect to its role in the curriculum, the uses of manipulatives and dynamic geometry software in the classroom, and the role of proofs. In this study belief is taken as subjective knowledge (Furinghetti and Pehkonen, 2002). Data were collected from 520 teachers using questionnaires that included both statements that required responses on a Likert scale and open-ended questions. Also an intervention case study was conducted with one teacher. A three factor solution emerged from the analysis that revealed a disposition towards activities, a disposition towards an appreciation of geometry and its applications and a disposition towards abstraction. These results enabled classification of teachers into one of eight groups depending on whether their scores were positive or negative on the three factors. Knowing the teacher typology allows for appropriate professional development activities to be undertaken. This was done in the case study where techniques for scaffolding proofs were used as an intervention for a teacher who had a positive disposition towards activities and appreciation of geometry and its applications but a negative disposition towards abstraction. The intervention enabled the teacher successfully to teach her students how to understand and construct proofs. The open-ended responses on the questionnaire were analysed to obtain a better understanding of the teachers' beliefs. Four themes, the formal, intuitive, utilitarian and the mathematical, emerged from the analysis, which support the modal arguments given by Gonzalez and Herbst (2006). The findings reveal a disconnect between some high school teachers' beliefs about why geometry is important to study and the current position of the Standards Movement; and between whether geometry should be taught as part of an integrated curriculum or as a one-year course.
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Somayajulu, Ravi B. "Building Pre-Service Teacher’s Mathematical Knowledge for Teaching of High School Geometry." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1348805530.
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Stephanus, Gervasius Hivengwa. "Exploring teaching proficiency in geometry of selected effective mathematics teachers in Namibia." Thesis, Rhodes University, 2014. http://hdl.handle.net/10962/d1013012.
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Quality mathematics education relies on effective pedagogy which offers students appropriate and rich opportunities to develop their mathematical proficiency (MP) and intellectual autonomy in learning mathematics. This qualitative case study aimed to explore and analyse selected effective mathematics teachers' proficiency in the area of geometry in five secondary schools in five different Namibia educational regions. The sample was purposefully selected and comprised five mathematics teachers, identified locally as being effective practitioners by their peers, Education Ministry officials and the staff of the University of Namibia (UNAM). The schools where the selected teachers taught were all high performing Namibian schools in terms of students' mathematics performance in the annual national examinations. The general picture of students' poor performance in mathematics in Namibia is no different to other sub-Saharan countries and it is the teachers who unfortunately bear the brunt of the criticism. There are, however, beacons of excellence in Namibia and these often go unnoticed and are seldom written about. It is the purpose of this study to focus on these high achievers and analyse the practices of these teachers so that the rest of Namibia can learn from their practices and experience what is possible in the Namibian context. The mathematical content and context focus of this study was geometry. This qualitative study adopted a multiple case study approach and was framed within an interpretive paradigm. The data were collected through individual questionnaires, classroom lesson observations and in-depth open-ended and semi-structured interviews with the participating teachers. These interviews took the form of post lesson reflective and stimulated recall analysis sessions. An adapted framework based on the Kilpatrick, Swafford and Findell's (2001) five strands of teaching for MP was developed as a conceptual and analytical lens to analyse the selected teachers' practice. The developed coding and the descriptive narrative vignettes of their teaching enabled a qualitative analysis of what teachers said contributed to their effectiveness and how they developed MP in students. An enactivist theoretical lens was used to complement the Kilpatrick et al.'s (2001) analytical framework. This enabled a deeper analysis of teacher teaching practice in terms of their embodied mathematical knowledge, actions and interactions with students. procedural fluency (PF) and productive disposition (PD), were addressed regularly by all five participating teachers. Evidence of addressing either the development of students' strategic competence (SC) or adaptive reasoning (AR) appeared rarely. Of particular interest in this study was that the strand of PD was the glue that held the other four strands of MP together. PD was manifested in many different ways in varying degrees. PD was characterised by a high level of content knowledge, rich personal experience, sustained commitment, effective and careful preparation for lessons, high expectations of themselves and learners, collegiality, passion for mathematics and an excellent work ethic. In addition, the teachers' geometry teaching practices were characterised by making use of real-world connections, manipulatives and representations, encouraging a collaborative approach and working together to show that geometry constituted a bridge between the concrete and abstract. The findings of the study have led me, the author, to suggest a ten (10) principles framework and seven (7) key interrelated factors for effective teaching, as a practical guide for teachers. This study argues that the instructional practices enacted by the participating teachers, who were perceived to be effective, aligned well with practices informed by the five strands of the Kilpatrick et al.'s (2001) model and the four concepts of autopoesis, co-emergence, structural determinism and embodiment of the enactivist approach. The study concludes with recommendations for effective pedagogical practices in the teaching of geometry, and opportunities for further research.
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Knight, Kathleen Chesley. "An Investigation into the Change in the Van Hiele Levels of Understanding Geometry of Pre-service Elementary and Secondary Mathematics Teachers." Fogler Library, University of Maine, 2006. http://www.library.umaine.edu/theses/pdf/KnightKC2006.pdf.
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Erfjord, Ingvald. "Teachers' implementation and orchestration of Cabri-use in mathematics teaching /." Kristiansand : University of Agder, Faculty of engineering and science, 2008. http://www.uia.no/no/portaler/aktuelt/nyhetsarkivet/disputas_dataverktoey.
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Eli, Jennifer Ann. "An exploratory mixed methods study of prospective middle grades teachers' mathematical connections while completing investigative tasks in geometry." Lexington, Ky. : [University of Kentucky Libraries], 2009. http://hdl.handle.net/10225/1146.
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Thesis (Ph. D.)--University of Kentucky, 2009.Title from document title page (viewed on May 12, 2010). Document formatted into pages; contains: ix, 219 p. : ill. (some col.). Includes abstract and vita. Includes bibliographical references (p. 170-179).
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Garcia-de, Galindo Heréndira. "An investigation of factors related to preservice secondary mathematics teachers' computer environment preferences for teaching high school geometry /." Connect to resource, 1994. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1241189225.
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Galindo, Heréndira Garcia-de. "An investigation of factors related to preservice secondary mathematics teachers' computer environment preferences for teaching high school geometry." The Ohio State University, 1994. http://rave.ohiolink.edu/etdc/view?acc_num=osu1241189225.
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Garcia-de, Galindo Heréndira. "An investigation of factors related to preservice secondary mathematics teachers' computer environment preferences for teaching high school geometry /." The Ohio State University, 1994. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487856906259719.
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Ng, Dicky. "Investigating Elementary Teachers’ Mathematical Knowledge for Teaching Geometry: The Case of Classification of Quadrilaterals." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-80730.
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This paper examines the mathematical knowledge for teaching (MKT) in Indonesia, specifically in school geometry content. A translated and adapted version of the MKT measures developed by the Learning Mathematics for Teaching (LMT) project was administered to 210 Indonesian primary and junior high teachers. Psychometric analyses revealed that items related to classification of quadrilaterals were difficult for these teachers. Further interactions with teachers in a professional development setting confirmed that teachers held a set of exclusive definitions of quadrilaterals.
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Nielsen, Porter Peterson. "Teachers' Mathematical Meanings: Decisions for Teaching Geometric Reflections and Orientation of Figures." BYU ScholarsArchive, 2020. https://scholarsarchive.byu.edu/etd/8597.
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Teachers' instructional decisions are important for students' mathematics learning as they determine the learning opportunities for all students. This study examines teachers' decisions about the activities and tasks they choose for students' mathematics learning, the ordering and connecting of mathematics topics, and the mathematics within curricula not to cover. These decisions are referred to as curricular decisions. I also identify teachers' mathematical schemes, referred to as mathematical meanings, in relation to geometric reflections and orientation of figures and examine teachers' reasoning with their mathematical meanings as they make these curricular decisions. Additionally, based on the results of this study I identify several productive and unproductive mathematical meanings in relation to geometric reflections and orientation of figures. Describing productive mathematical meanings as providing coherence to student mathematical understanding and preparing students for future mathematics learning (Thompson, 2016). These findings can be used to better understand why teachers make the curricular decisions they do as well as help teachers identify whether or not their mathematical meanings are productive in an effort to foster productive mathematical meanings for students.
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Muyeghu, Augustinus. "The use of the van Hiele theory in investigating teaching strategies used by grade 10 geometry teachers in Namibia." Thesis, Rhodes University, 2009. http://hdl.handle.net/10962/d1003703.
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This study reports on the extent to which selected mathematics teachers facilitate the teaching and learning of geometry at the van Hiele levels 1 and 2 at a Grade 10 level in selected schools in Namibia. It also addresses and explores the teaching strategies teachers employ in their classrooms. Kilpatrick et al.’s model for proficient teaching and the van Hiele model of geometric thinking were used to explore the type of teaching strategies employed by selected mathematics teachers. These two models served as guidelines from which interview and classroom observation protocols were developed. Given the continuing debate across the world about the learning and teaching of geometry, my thesis aims to contribute to a wider understanding of the teaching of geometry with regard to the van Hiele levels 1 and 2. There are no similar studies on the teaching of geometry in Namibia. My study concentrates on selected Grade 10 mathematics teachers and how they teach geometry using the van Hiele theory and the five Kilpatrick components of proficient teaching. As my research looks at teaching practice it was important to deconstruct teaching proficiency with a view to understanding what makes good teachers effective. The results from this study indicated that the selected Grade 10 mathematics teachers have a good conceptual understanding of geometry as all of them involved in this study were able to facilitate the learning and teaching of geometry that is consistent with the van Hiele levels 1 and 2.
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Sloan, Stella. "A two and three dimensional high school geometry unit implementing recommendations in the National Council of Teachers of Mathematics curriculum and evaluation standards." CSUSB ScholarWorks, 1993. https://scholarworks.lib.csusb.edu/etd-project/647.
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Kotze, Jeannette. "The effect of a dynamic technological learning environment on the geometry conceptualisation of pre-service mathematics teachers / by Jeannette Kotze." Thesis, North-West University, 2006. http://hdl.handle.net/10394/1359.
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Lolli, Melanie G. "The Views of High School Geometry Teachers regarding the Effect of Technology on Student Learning." Ohio Dominican University Honors Theses / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=oduhonors1336410657.
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Dongwi, Beata Lididimikeni. "Mathematics teachers' experiences of designing and implementing a circle geometry teaching programme using the van Hiele phases of instruction as a conceptual framework: a Namibian case study." Thesis, Rhodes University, 2013. http://hdl.handle.net/10962/d1003133.
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The aim of this case study was to examine, analyze and report on the findings of the experiences of selected mathematics teachers when they used the van Hiele phases of instruction in designing and implementing a Grade 11 circle geometry teaching programme. The sample consisted of three selected mathematics teachers from the school where the researcher teaches. This school is located in the Oshikoto Education Region in Namibia. The school serves a multicultural group of 759 learners from a middle-class economic background. The site and participants were selected conveniently as the researcher had unrestricted access to both the facilities and the participants. This research takes the form of a case study and is underpinned by the interpretive paradigm. Data for this research was collected using a variety of techniques such as interviews, classroom observation and document analysis. This facilitated easy triangulation of the data. The findings of this research make four claims with regard to the experiences of the mathematics teachers with designing and implementing the circle geometry teaching programme using the five van Hiele phases of instruction as a conceptual framework. The findings revealed that firstly, all three participating mathematics teachers used and implemented all the five van Hiele phases of instruction in their lessons I observed. Secondly, the teachers navigated quite freely from one phase of instruction to the next, but also returned to the earlier phases for clarification and reinforcement in their teaching. Thirdly, the teachers saw the phases of instruction as a good pedagogical tool or template for planning and presenting lessons. Fourthly, the majority of the learners followed the instructions and seemed to obtain the answers faster than expected. The lesson presentations were lively and both teachers and learners communicated at length to discover angle properties of circles while developing and nurturing the technical language of geometry.
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Muhembo, Gottfried Mbundu. "An analysis of how visualisation processes can be used by teachers participating in an intervention programme to teach for conceptual understanding of geometry." Thesis, Rhodes University, 2018. http://hdl.handle.net/10962/62439.
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Visualisation in general and visualisation processes in particular have received much attention in the mathematics education research literature. Literature suggests that the appropriate use of visualisation helps learners to develop their conceptual understanding and skills of geometry as it allows them to visually interpret and understand fundamental mathematical and geometrical concepts. It is claimed that visual tools play an important role in communicating mathematical ideas through diagrams, gestures, images, sketches or drawings. Learning mathematics through visualisation can be a powerful tool to explore mathematical problems and give meaning to mathematical concepts and relationships between them. This interpretive case study focused on how selected teachers taught concepts in geometry through visualisation processes for conceptual understanding as a result of an intervention programme. The study was conducted at four high schools by four mathematics teachers in the Kavango East Region in Northern Namibia. The participants were involved in a three-week intervention programme and afterwards taught three lessons each on the topic of geometry. The data collection method of this research was: focus group and stimulus recall interviews, classroom observations and recorded videos. This research is located in constructivism. I used vertical and horizontal analysis strategies to analyse the data. My analytical instrument consisted of an observation schedule which I used in each lesson to identify how each of the visualisation processes was evident in each of the observed lessons. This study revealed that the participant teachers used visualisation processes in most of their lessons and these processes were used accurately in line with the requirements of the grade 8 mathematics syllabi. The visualisation processes were used through designed visual materials, posters and through the use of geometrical objects such as chalkboard ruler, protractor and compass. The results from this study also confirmed that visualisation processes can be a powerful instructional tool for enhancing learners’ conceptual understanding of geometry.
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Siyepu, Sibawu Witness. "The use of Van Hiele's theory to explore problems encountered in circle geometry: a grade 11 case study." Thesis, Rhodes University, 2005. http://hdl.handle.net/10962/d1004777.
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The research presented in this thesis is a case study located in the interpretive paradigm of qualitative research. The focus is on the use of van Hiele's theory to explore problems encountered in circle geometry by grade 11 learners and making some policy recommendations concerning the curriculum structure and teaching of the geometry at all grades. The interpretation is based to the learners' background in geometry i.e. their prior knowledge and experience of learning geometry. The study was carried out over a period of three years. The data collection process took a period of two months (April and May 2003) with a group of 21 grade 11 mathematics learners in a rural senior secondary school in the Eastern Cape. The researcher used document analysis, worksheets, participants' observation, van Hiele tests, a questionnaire and semi-structured interviews to collect data. The study showed that the structure of the South African geometry syllabus consists of a some what disorganized mixture of concepts. It is not sequential and hierarchical and it sequences concepts in a seemingly unrelated manner. The study revealed that the South African high school geometry curriculum is presented at a higher van Hiele level than what the learners can attain. The findings of the study showed that many of the grade 11 learners were under-prepared for the study of more sophisticated geometry concepts and proofs. Three categories of reasons could be ascribed to this: Firstly, there was insufficient preparation of learners during the primary and senior phases. Secondly the study indicated that there is overload of geometry at the high school level in the South African mathematics curriculum. Thirdly, the over-reliance on the traditional approach to teaching geometry, poor presentation of mathematical technical concepts and language problems, were identified as possible additional reasons for the poor learner understanding of geometry in general and circle geometry in particular. The study recommends that the structure of the South African geometry curriculum should be revisited and redesigned. Teachers should be empowered and developed to be more effective in teaching geometry through further studies in mathematics and in-service workshops. They should also be engaged in the process of implementing the van Hiele's theory in the teaching of geometry in their classrooms.
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Ng, Dicky. "Investigating Elementary Teachers’ Mathematical Knowledge for TeachingGeometry: The Case of Classification of Quadrilaterals." Proceedings of the tenth International Conference Models in Developing Mathematics Education. - Dresden : Hochschule für Technik und Wirtschaft, 2009. - S. 440 - 444, 2012. https://slub.qucosa.de/id/qucosa%3A1793.
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This paper examines the mathematical knowledge for teaching (MKT) in Indonesia, specifically in school geometry content. A translated and adapted version of the MKT measures developed by the Learning Mathematics for Teaching (LMT) project was administered to 210 Indonesian primary and junior high teachers. Psychometric analyses revealed that items related to classification of quadrilaterals were difficult for these teachers. Further interactions with teachers in a professional development setting confirmed that teachers held a set of exclusive definitions of quadrilaterals.
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Engström, Lil. "Möjligheter till lärande i matematik : Lärares problemformuleringar och dynamisk programvara." Doctoral thesis, Stockholms universitet, Institutionen för undervisningsprocesser, kommunikation och lärande (UKL), 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-943.
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This thesis presents the first Swedish empirical evidence on how teachers employ a dynamic mathematical software when teaching mathematics in upper secondary school. The study examines: a) How teachers formulate mathematical problems? b) How they use the experience the students have gained? and c) What use they make of the software’s potential? These questions are examined through classroom observations followed up by discussions with the teachers. The study comprises three teachers and shows that they have very different mathematical experiences and teaching skills. A questionnaire was sent to the teachers prior to the classroom visits to collect relevant background information; e.g., the teachers were asked to describe their teacher training, their view of mathematics and of how a dynamic software could contribute to their teaching. The results show that the teachers’ ability to pose thought-provoking openended problems is the most important factor as it significantly influences what the students learn. The way a mathematical problem is formulated could, in conjunction with a dynamic software, actually limit the students’ achievement. However, this study confirms that it could also provide an opportunity for students to discover new mathematical relations, draw conclusions, generalise and formulate hypotheses. This could in turn lead to an in formally proving a mathematical relation. A conclusion of the study is that to be successful, teachers need a good mathematical background with a firm knowledge base and an understanding of the software’s potential, but they also need the skill to formulate open-ended problems that will enable their students to work successfully with a dynamic mathematical software.
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Santos, Michael Gandhi Monteiro dos. "AplicaÃÃes do geogebra no ensino de geometria analÃtica." Universidade Federal do CearÃ, 2013. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=14612.
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Este trabalho tem como foco principal mostrar as vantagens do uso de um software de Geometria DinÃmica, chamado Geogebra, no ensino da Geometria AnalÃtica. InÃcio fazendo uma apresentaÃÃo do Geogebra, onde ao longo dos capÃtulos mostro suas potencialidades e aplicabilidades na matemÃtica como um todo. O objetivo de falar sobre assunto, està baseado nos baixos rendimentos dos alunos em provas aplicadas, de avaliaÃÃo em larga escala, em nosso paÃs. EstÃs avaliaÃÃes revelam que algo deve ser feito em prol da melhoria da aprendizagem, por isso, diante das constantes mudanÃas em nossa sociedade e a presenÃa maciÃa da tecnologia em nosso cotidiano este estudo fornecer atividades comuns a qualquer livro didÃtico, mas, sua resoluÃÃo serà dada atravÃs do programa. No referencial teÃrico, falo um pouco do surgimento da Geometria AnalÃtica, bem como, da sua importÃncia para a matemÃtica e suas tecnologias descritas nos ParÃmetros Curriculares Nacionais (PCNs). No capÃtulo dedicado exclusivamente ao programa, faÃo uma descriÃÃo detalhada de cada Ãcone pertencente à barra de ferramentas do software. Encerro o estudo, com diversas atividades para que professores interessados na utilizaÃÃo do recurso pedagÃgico visualizem que com pouco esforÃo e dedicaÃÃo, nossos alunos serÃo capazes de experimentar, visualizar, interpretar, abstrair, generalizar e demonstrar.
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Zambon, Ana Elisa Cronéis [UNESP]. "A geometria em cursos de pedagogia da região de Presidente Prudente-SP." Universidade Estadual Paulista (UNESP), 2010. http://hdl.handle.net/11449/92306.
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zambon_aec_me_prud.pdf: 2361876 bytes, checksum: 980379b6b347d71ee8c397df596a5307 (MD5)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
O presente estudo, vinculado à linha de pesquisa “Práticas Educativas na Formação de Professores”, do Programa de Pós-graduação em Educação da FCT/UNESP, pretende investigar como a Geometria se faz presente em cursos de Pedagogia da Região administrativa de Presidente Prudente - SP. A metodologia da pesquisa, de natureza qualitativa e cunho analítico-descritivo, compreendeu três momentos principais: análise das grades curriculares dos cursos de Pedagogia da região delimitada, análise dos planos de ensino das disciplinas relacionadas ao ensino de Matemática presentes nessas grades curriculares, acompanhamento e análise do desenvolvimento dos conceitos geométricos junto aos futuros professores. A última etapa foi desenvolvida por meio da observação in loco das disciplinas relacionadas ao ensino de Matemática nos anos iniciais em duas Instituições de Educação Superior, uma pública e a outra privada. Essa representa o diferencial da pesquisa, uma vez que é vasta a literatura que anuncia a problemática do abandono do ensino de Geometria na educação básica brasileira, bem como a falta de domínio dos conceitos geométricos por parte dos professores, sobretudo, dos anos iniciais. No entanto, pouco se investiga como efetivamente este campo da matemática se faz presente no processo de formação desses professores. O aporte teórico das reflexões sobre formação de professores está pautado em Shulman (1986), com os conhecimentos base do professor e saberes docentes, sobretudo, aqueles possíveis de serem adquiridos anteriormente...
This study, linked to the research line Educational Practices in Teacher’s Training, Program Graduate Education in the Univ. Estadual Paulista - UNESP , aimed to investigate how the geometry is present in Pedagogy courses in region of the President Prudente, upstate São Paulo, Brazil. The research methodology was qualitative and analytic-descriptive nature, occurred in three main phases: analysis of the teacher’s plans of Pedagogy courses in the region bounded; considering plans for teaching the subjects related to mathematics education in those curricula; monitoring and analysis of the development of geometric concepts along to future teachers. This last step was made by observing the spot of the disciplines related to mathematics education in their early years in two institutions of higher education, one public and one private, and constitutes the differential of the research, since it is a vast literature announcing the issue of abandoning the teaching of geometry in elementary education in Brazil and the lack of field of geometric concepts by teachers, especially the early years. However, little is investigating how effectively this field of mathematics is present in the process of training these teachers. The reflections theoretical on teacher’s training are ruled by Shulman (1986), with the knowledge base of teacher knowledge and teachers, especially those able... (Complete abstract click electronic access below)
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Lee, Kin-sum, and 李健深. "Teacher's and students' conceptions of mathematics: a case study of the classroom implementation of three-dimensional geometry in the new key stage 3 curriculum." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2003. http://hub.hku.hk/bib/B27707647.
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Reis, Maria Elidia Teixeira. "Formação de professores leigos em serviço : um estudo sobre saberes e praticas docentes em geometria." [s.n.], 2007. http://repositorio.unicamp.br/jspui/handle/REPOSIP/252448.
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Orientador : Dario FiorentiniTese (doutorado) - Universidade Estadual de Campinas, Faculdade de Educação
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Resumo: Esta pesquisa analisou um processo de formação de professores leigos, em serviço, que tinha como objetivo responder à seguinte questão investigativa: Como os professores â?¿ principalmente leigos em serviço â?¿ percebem, narram e evidenciam as contribuições e as limitações da formação acadêmica ocorrida durante um curso emergencial de Licenciatura Plena Parcelada (LPP) em Matemática, especialmente em relação à sua prática e aos seus saberes docentes em Geometria? Para respondê-la, foi realizado um estudo de caso qualitativo de uma turma de Matemática de LPP da cidade de JataÃ, Goiás, envolvendo uma investigação mais aprofundada de dois de seus participantes que possuÃam mais de dez anos de experiência docente. O material de análise e interpretação foi constituÃdo por questionários aplicados à turma, documentos relativos ao projeto de LPP, entrevistas semi-estruturadas realizadas com três professores-formadores do curso e com os dois professores-alunos que tiveram suas aulas observadas. O processo de análise e interpretação desse material foi desenvolvido em torno de três eixos: (1) A exploração e a valorização dos saberes da experiência e a relação destes com os saberes da formação acadêmica no curso de LPP em Matemática. (2) Os problemas, limites e dificuldades enfrentados pelos professores-alunos e professores-formadores no decorrer do curso. (3) O que pensam e relatam os docentes alunos e formadores a respeito das contribuições desse curso. Os resultados mostraram que o curso de LPP em Matemática investigado, de um lado, contribuiu para que os professores leigos obtivessem a qualificação profissional almejada e exigida pela atual legislação, mas, de outro, apresentou poucas evidências de desenvolvimento profissional de seus participantes. Essa conclusão apóia-se no fato de que, embora o projeto de LPP do Estado de Goiás tivesse, no papel, o propósito de articular teoria e prática, na prática, os saberes experienciais e a prática pedagógica dos professores-alunos não foram valorizados/explorados e nem tomados como objeto efetivo de reflexão e problematização durante o curso. Talvez essa seja a principal razão pela qual seus participantes tenham apresentado poucos indÃcios de mudança de suas práticas e de seus saberes docentes relativos ao ensino de Geometria
Abstract: This research was aimed at analyzing the educational process of a group of lay teachers during a period of teaching activity, seeking to answer the following investigative question: How do teachers â?¿ especially lay teachers during teaching activity â?¿ perceive, narrate, and elicit the contributions and limitations to academic education acquired during a remedial emergency course of full partitioned licensorship (â?¿Licenciatura Plena Parceladaâ??, or LPP) on mathematics, especially in relation to their practice and their teaching knowledge in geometry? In order to answer this question, a qualitative case study of a mathematics LPP group was carried out in the city of JataÃ, Goiás, involving a deeper investigation of two of its participants, who had been through over ten years of teaching experience. The material for analysis and interpretation was composed of questionnaires answered by the group, documents related to the LPP project, semi-structured interviews with three teachers-educators of the course and two teachers-students who had their classes observed. The process of analysis and interpretation of this material was developed on three bases: (1) The exploration and valorization of experience knowledge and its relation to the knowledge from academic education in the mathematics LPP course; (2) the problems, limits and difficulty faced by teachers/students and teachers/educators during the course; and (3) what teachers-students and educators think and tell about the contributions of this course. The results showed that, on the one hand, this LPP mathematics course has made it possible for the lay teachers to have the professional qualification that they desired and that is legally required, but, on the other hand, it has presented little evidence of professional development for its participants. This conclusion is drawn from the fact that, although the LPP project in the state of Goiás had been planned to connect theory and practice, the experience knowledge and the teachers-studentsâ?¿ pedogogical practice were not actually valued or explored; neither were they taken as the real object of reflection and questioning throughout the course. Maybe this is the main reason why its participants presented few signs of change in their teaching habits and knowledge regarding geometry teaching
Doutorado
Educação Matematica
Doutor em Educação
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Morais, Junior Eduardo. "Por trás do currículo oficial, que Geometria acontece?: um estudo sobre os saberes anunciados nas narrativas de professoras dos anos iniciais do ensino fundamental." Universidade Federal de São Carlos, 2015. https://repositorio.ufscar.br/handle/ufscar/8453.
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This research aims to identify the teacher's knowledge announced by a group of teachers Initial Years of elementary school (1st to 3rd grade), linked to PNAIC (National Pact for Literacy Certain Age) in 2014 in the city of Sumaré - SP, through the detailed planning by a collective reflection and realization of a geometry activity developed in the classroom. This study, of qualitative nature, are based on participatory research, specifically action research, in view of the proposal for an intervention in the group studied. For the analysis of data produced by the teachers, the content analysis by the very nature of such data was used, the main landmarks references Bardin (1977) and Franco (2005) and for reasons of narrative, which constitute the data from this survey, we rely on Cunha (1997), Souza (2006) and Galvão (2005). The issue of teaching knowledge which is another aspect discussed in this work is grounded by the studies of Tardif (2011), Gauthier (1998) and other researchers dealing with the subject. The perspective is adopted in this research is an investigative work and that does not close at the time of analysis, and opening to the continuity of the reflections that now will be brought here. The object of study is seated in the triad: teaching knowledge, curriculum and teaching of geometry, with the theoretical foundation Silva (2010) in the curriculum conceptions, Leme da Silva and Valente (2014), Lorenzato (2011) and Fainguelernt (1999) in thinking about the geometry of education as well as the theoretical development of Piaget and Inhelder (1993) and Van Hiele (1990). Presented with this dissertation contributions to the continued discussion of teaching knowledge in the educational context, valuing the voice of the teacher of Primary Education Years Initials. As conclusions, we have the teaching knowledge arising announced by the teachers of vocational training, as well as disciplinary, curricular and experiential knowledge in the analyzed narratives. We bring to this indicative study for teacher continuing education concerning the reflective professional attitude and also to learn experiential as knowledge important to be considered in academic research as well as in their own continuing education of teachers.
A presente pesquisa tem como objetivo identificar os saberes docentes anunciados por um grupo de professoras dos Anos Iniciais do Ensino Fundamental (1º ao 3º ano), vinculadas ao PNAIC (Pacto Nacional pela Alfabetização na Idade Certa) no ano de 2014, na cidade de Sumaré – SP, por meio do planejamento circunstanciado por uma reflexão coletiva e realização de uma atividade de geometria desenvolvida em sala de aula. Este estudo, de cunho qualitativo, se assenta na pesquisa participante, especificamente a pesquisa-ação, tendo em vista a proposta de uma intervenção no grupo pesquisado. Para a análise dos dados, produzidos pelas professoras, foi utilizada a análise de conteúdo pela própria natureza desses dados, tendo como principais marcos referenciais Bardin (1977) e Franco (2005) e para fundamentação das narrativas, que se constituem os dados desta pesquisa, nos apoiamos em Cunha (1997), Souza (2006) e Galvão (2005). A questão dos saberes docentes, que é outra vertente discutida neste trabalho, é fundamentada pelos estudos de Tardif (2011), Gauthier (1998) e demais pesquisadores que tratam da temática. A perspectiva que se adota nessa pesquisa é de um trabalho investigativo e que não se fecha no momento de análise, tendo abertura para a continuidade das reflexões que ora serão trazidas aqui. O objeto de estudo está assentado na tríade: saberes docentes, currículo e ensino de geometria, tendo como fundamentação teórica Silva (2010) nas concepções de currículo, Leme da Silva e Valente (2014), Lorenzato (2011) e Fainguelernt (1999) na reflexão sobre o ensino de geometria, bem como o desenvolvimento teórico de Piaget e Inhelder (1993) e Van Hiele (1990). Apresentamos com esta dissertação contribuições para a continuidade da discussão dos saberes docentes no contexto educacional, valorizando a voz do professor dos Anos Iniciais do Ensino Fundamental. Como conclusões, temos os saberes docentes anunciados pelas professoras decorrentes da formação profissional, bem como saberes disciplinares, curriculares e experienciais nas narrativas analisadas. Trazemos com esse estudo indicativos para formação continuada docente que dizem respeito à postura reflexiva do profissional e também o saber experiencial como um saber importante a ser considerado nas pesquisas acadêmicas e também nas próprias formações continuadas de professores.
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Pissarék, Clóvis João. "Congruências e polinômios: uma aplicação." Universidade Tecnológica Federal do Paraná, 2014. http://repositorio.utfpr.edu.br/jspui/handle/1/1024.
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CAPESEste trabalho tem como objetivo aprofundar o conhecimento dos professores do ensino médio fundamental a respeito de congruência e polinômios. Apesar de congruência não ser abordado nas escolas, este assunto justifica alguns conceitos repassados aos alunos, como por exemplo a divisibilidade de um número por outro. A congruência ainda pode auxiliar na verificação de raízes de polinômios. Aqui, os polinômios são tratados como elementos de um anel, o anel dos polinômios, e vários resultados utilizados em sala de aula são justificados a partir da estrutura desse anel. Com esses dois conceitos, ainda e feito um breve estudo de congruência polinomial.
The aim of this work is to deepen the knowledge of elementary and high school teachers about congruence and polynomials. Although congruence is not studied in schools, this subject justifies some concepts passed to the students, such as the divisibility of one number by another. The congruence can also help to verify roots of polynomials. Here, polynomials are treated as elements of a ring, the ring of polynomials, and several results used in the classroom are justified from the structure of this ring. These concepts are used for a brief study of polynomial congruence.
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Zambon, Ana Elisa Cronéis. "A geometria em cursos de pedagogia da região de Presidente Prudente-SP /." Presidente Prudente : [s.n.], 2010. http://hdl.handle.net/11449/92306.
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Orientador: Maria Raquel Miotto MorelattiBanca: Leny Rodrigues Martins Teixeira
Banca: Adair Mendes Nacarato
Resumo: O presente estudo, vinculado à linha de pesquisa "Práticas Educativas na Formação de Professores", do Programa de Pós-graduação em Educação da FCT/UNESP, pretende investigar como a Geometria se faz presente em cursos de Pedagogia da Região administrativa de Presidente Prudente - SP. A metodologia da pesquisa, de natureza qualitativa e cunho analítico-descritivo, compreendeu três momentos principais: análise das grades curriculares dos cursos de Pedagogia da região delimitada, análise dos planos de ensino das disciplinas relacionadas ao ensino de Matemática presentes nessas grades curriculares, acompanhamento e análise do desenvolvimento dos conceitos geométricos junto aos futuros professores. A última etapa foi desenvolvida por meio da observação in loco das disciplinas relacionadas ao ensino de Matemática nos anos iniciais em duas Instituições de Educação Superior, uma pública e a outra privada. Essa representa o diferencial da pesquisa, uma vez que é vasta a literatura que anuncia a problemática do abandono do ensino de Geometria na educação básica brasileira, bem como a falta de domínio dos conceitos geométricos por parte dos professores, sobretudo, dos anos iniciais. No entanto, pouco se investiga como efetivamente este campo da matemática se faz presente no processo de formação desses professores. O aporte teórico das reflexões sobre formação de professores está pautado em Shulman (1986), com os conhecimentos base do professor e saberes docentes, sobretudo, aqueles possíveis de serem adquiridos anteriormente... (Resumo completo, clicar acesso eletrônico abaixo)
Abstract: This study, linked to the research line "Educational Practices in Teacher's Training", Program Graduate Education in the Univ. Estadual Paulista - UNESP , aimed to investigate how the geometry is present in Pedagogy courses in region of the President Prudente, upstate São Paulo, Brazil. The research methodology was qualitative and analytic-descriptive nature, occurred in three main phases: analysis of the teacher's plans of Pedagogy courses in the region bounded; considering plans for teaching the subjects related to mathematics education in those curricula; monitoring and analysis of the development of geometric concepts along to future teachers. This last step was made by observing the spot of the disciplines related to mathematics education in their early years in two institutions of higher education, one public and one private, and constitutes the differential of the research, since it is a vast literature announcing the issue of abandoning the teaching of geometry in elementary education in Brazil and the lack of field of geometric concepts by teachers, especially the early years. However, little is investigating how effectively this field of mathematics is present in the process of training these teachers. The reflections theoretical on teacher's training are ruled by Shulman (1986), with the knowledge base of teacher knowledge and teachers, especially those able... (Complete abstract click electronic access below)
Mestre
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Oliveira, Alan Gomes de. "Funções e geometria: o uso de ambiente de geometria dinâmica como subsídio para a caracterização das funções quadráticas." Universidade Tecnológica Federal do Paraná, 2013. http://repositorio.utfpr.edu.br/jspui/handle/1/436.
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CAPESEste trabalho apresenta uma proposta de abordagem que permite ao professor do ensino médio tratar do conceito de função quadrática. Propõe a construção do conhecimento através de atividades desenvolvidas em ambiente de geometria dinâmica (GeoGebra), explorando as ideias intuitivas de variação e dependência construídas entre objetos geométricos sem a mediação das representações algébricas e gráficas, comumente empregadas na sala de aula do ensino médio.
This work presents a proposal of approach which allows the school teachers deal with the concept of quadratic function. It proposes the construction of knowledge through activities in dynamic geometry environment (GeoGebra), exploring the intuitive ideas of variation and dependence built between geometric objects without the mediation of algebraic and graphical representations,commonlyusedinthe classroom of high school.
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Henry, Greg B. "The main challenges that a teacher-in-transition faces when teaching a high school geometry class /." Diss., CLICK HERE for online access, 2007. http://contentdm.lib.byu.edu/ETD/image/etd1971.pdf.
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Agherdien, Gabeba. "Investigating a geometry course for in-service teachers." Master's thesis, University of Cape Town, 2004. http://hdl.handle.net/11427/7806.
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Includes bibliographical references.This study focused on Foundation Phase teachers' pedagogical and content knowledge. It investigated the impact that a geometry course (Shape and Space), had on the teachers levels of understanding of Shape and Space. The course was conducted over 5 days. A literature search revealed a few different tools in designing the course, the majority of which referred to either Van Hiele or Hoffer. Our course design however was instructed by the requirements of the Revised National Curriculum Statement (RNCS) and had to follow it closely.
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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.
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Miller, Catherine Marie 1959. "Teachers as problem solvers/problem solvers as teachers: Teachers' practice and teaching of mathematical problem solving." Diss., The University of Arizona, 1996. http://hdl.handle.net/10150/282150.
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This study investigated the relationship among three high school mathematics teachers definitions and beliefs about mathematical problem solving, their problem solving practices and how they teach mathematical problem solving. Each teacher was interviewed three times and observed once during a problem solving lesson. Data comprised of transcriptions of audio tapes, field notes, and completed problem solving checklists were used to prepare the case studies. While the definitions, practices and teaching of the teachers varied, the findings were consistent within each case. The results suggest that how teachers are taught and what they learn as students are related to how they teach mathematical problem solving.
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Henry, Greg Brough. "The Main Challenges that a Teacher-in-Transition Faces When Teaching a High School Geometry Class." BYU ScholarsArchive, 2007. https://scholarsarchive.byu.edu/etd/972.
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During a semester-long action research study, the author attempted to implement a standards-based approach to teaching mathematics in a high school geometry class. Having previously taught according to a more traditional manner, there were many challenges involved as he made this transition. Some of the challenges were related to Geometry and others were related to the standards-based approach in general. The main challenges that the author encountered are identified and discussed. A plan of action for possible solutions to these challenges is then described.
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Kim, Rina. "South Korean elementary teachers' knowledge for teaching mathematics." Thesis, Boston College, 2014. http://hdl.handle.net/2345/bc-ir:104388.
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Thesis advisor: Lillie Richardson AlbertThe purpose of this research is to identify the categories of South Korean elementary teachers' knowledge for teaching mathematics. Operating under the assumption that elementary teachers' knowledge for teaching affects students' learning, eleven South Korean elementary teachers volunteered to participate in this study. Emerging from the data collected and the subsequent analysis are five categories of South Korean elementary teachers' knowledge for teaching mathematics: Mathematics Curriculum Knowledge, Mathematics Learner Knowledge, Fundamental Mathematics Conceptual Knowledge, Mathematics Pedagogical Content Knowledge, and Mathematics Pedagogical Procedural Knowledge. The first three categories of knowledge play a significant role in mathematics instruction as an integrated form within Mathematics Pedagogical Content Knowledge. A notable conclusion of this study is that Pedagogical Content Knowledge might not be the sum of the other categories of knowledge for teaching mathematics. These findings may be connected to results from relevant studies in terms of the significant role of teachers' knowledge in their mathematics instruction. This study contributes to the existing literature in that it provides empirical bases for understanding teachers' knowledge for teaching mathematics and reveals the relationship among categories of knowledge for teaching mathematics
Thesis (PhD) — Boston College, 2014
Submitted to: Boston College. Lynch School of Education
Discipline: Teacher Education, Special Education, Curriculum and Instruction
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Maxedon, Sandra Jo. "Early childhood teachers' content and pedagogical knowledge of geometry." Diss., The University of Arizona, 2003. http://hdl.handle.net/10150/280485.
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This study investigated early childhood teachers' knowledge of the following four components of the professional knowledge base: goals of geometry, child development and geometry, geometry curriculum and curriculum content, and geometric concepts. Eight experienced early childhood teachers in grades kindergarten through two participated in interviews on each of the four knowledge components. Their responses to interview questions and geometric concept activities were electronically recorded and transcribed for analysis of patterns, trends, or themes which emerged for the group. The teachers knew how geometry would benefit students and could elucidate their own goals when teaching geometry. They were more familiar with their district's curriculum and performance objectives for geometry than they were with state or national goals. They had ideas about what constitutes developmentally appropriate practice, both generally and in geometry education. Child development as it relates to geometry was an elusive concept. Their expertise in this area was primarily based on their experiences as teachers and their faith in the district's curriculum. They were somewhat familiar with pedagogical aspects of their grade level curricula, including expectations, materials, and resources, with shape names being their primary focus. They were less familiar with subject matter issues such as the scope and content of the geometry curricula in the grades preceding and following theirs, important geometric concepts for primary students, and the role of spatial visualization in children's development of geometry. When solving geometric problems, they tended to be anxious and uncertain but overall were persistent problem solvers who willingly communicated their thinking. Their problem solving was marked by doubt, self-talk, hand movements, and ambiguity. In general there was evidence of difficulty with class inclusion, deductive reasoning, and conceptual verbalization.
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Clement, Lisa Lorraine. "The constitution of teachers' orientations toward teaching mathematics /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC IP addresses, 1999. http://wwwlib.umi.com/cr/ucsd/fullcit?p9935477.
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Dupree, Kami M. "Secondary Mathematics Teachers’ Responses to Pivotal Teaching Moments." DigitalCommons@USU, 2019. https://digitalcommons.usu.edu/etd/7535.
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This study used a multiple case study design to explore the occurrence of pivotal teaching moments, teachers’ responses to these moments, and teachers’ own perceptions of the impact of these moments on their own knowledge development. The participants were six practicing secondary mathematics teachers. The researcher collected data from teacher created lesson plan outlines, observations of the same lesson delivered to two different classes, participant interviews, and teacher reflection journals. The researcher reviewed the lesson plan outlines prior to observations to understand teachers’ anticipations. During observations, the researcher recorded observed pivotal teaching moments, corresponding teacher responses to these moments, and instructional changes between the two observed lessons. Interviews allowed the researcher to identify in-the-moment teacher thinking and teachers’ motivations for their responses. Teacher reflection journals provided insights related to teachers’ classroom actions and learning.
The results confirmed and built upon existing classifications of pivotal teaching moments and teachers’ responses, while also identifying seven themes related to teacher motivations for their responses. Teachers’ perceptions of changes in their own knowledge base occurred for their content knowledge as well as their pedagogical content knowledge. Future research should explore how pivotal teaching moments are created, how teacher-student interactions shape teacher knowledge development, and examine the role of teachers’ reflections about their practice in their knowledge development
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Warburton, Rebecca Kay. "Learning through teaching : factors influencing teachers' mathematics knowledge." Thesis, University of Leeds, 2015. http://etheses.whiterose.ac.uk/11886/.
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Understanding mathematics teacher knowledge is an international endeavour, seen by researchers as a key part of improving pupil learning. Within the last few decades, several conceptions of teacher knowledge have been proposed within the literature including Mathematical Knowledge for Teaching (Ball and colleagues) and the Knowledge Quartet (Rowland and colleagues). However, multiple criticisms of these conceptions exist, prompting the introduction of a new approach to considering teacher knowledge within this thesis. Rather than seeking to categorise a knowledge unique to teaching different than the mathematical knowledge required for other professions, this research aims to examine how knowledge changes within the context of trainee secondary teachers in England. The poor mathematics results of school leavers in the UK as well as a shortage of mathematics teachers, has influenced government policies on teacher training. Bursaries differentiated by degree class and the introduction of government-sponsored ‘subject knowledge enhancement’ (SKE) courses (to graduates from numerate disciplines) attempt to increase the quality and supply of teachers. By examining how knowledge changes over a teacher training course, with emphasis on the divide between SKE and non-SKE course participants, it is proposed that further insights into the knowledge useful for teaching and how this knowledge needs to be organised can be gleaned. This mixed methods study employs questionnaires, interviews and observations to track the knowledge change of a sample of Postgraduate Certificate in Education (PGCE) students over their year-long course. Results of the current study suggest that changes in the quality rather than quantity of knowledge take place over a PGCE course, in other words, a change in the organisation of knowledge. In addressing the research questions, this study also: raises questions about what the Mathematical Knowledge for Teaching items measure; suggests potential changes to the Knowledge Quartet codes; evaluates the proposed alternative approach to knowledge; and, discusses implications for teacher training policy.
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Luwango, Luiya. "Critical reflective teaching practice in three mathematics teachers." Thesis, Rhodes University, 2009. http://hdl.handle.net/10962/d1003366.
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This qualitative study reports on critical reflective teaching by three mathematics teachers and how it shapes their classroom practice. The study was carried out in three secondary schools in Rundu in northern Namibia. The study employed a case study method. The selection of teachers was based on their rich practical professional knowledge and exemplary teaching practices. Data collection and analysis was done through an interpretive approach. Interviews and document analyses were the two research tools used, not only for the collection of data but for triangulation also. Interpretations of the findings were validated through member checking. Critical reflective teaching involves thought and action, and it raises teachers’ consciousness of what they do. Through critical reflective practice, teachers scrutinize their beliefs and knowledge of the subject and their practice. Furthermore critical reflective practice may get teachers into a disposition to find alternatives to improve their teaching. In this study, the findings are that participants reflect extensively on their classroom practice. The teachers pointed out that reflection on practice enables them to analyse and evaluate their teaching in line with effective mathematics teaching. They emphasised that critical reflection leads to the identification of weaknesses in teachers’ classroom practice. This culminates in better planning whereby alternative approaches to teaching are exercised. Because of its potential to improve teaching and enhance professional development it is therefore recommended that mathematics teachers be exposed to skills that enhance critical reflective teaching practice. Teachers need to familiarise themselves with the concept of critical reflective teaching in mathematics to meet the demands of superior quality teaching.
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Knapp, Andrea K. Barrett Jeffrey Edward. "Prompting mathematics teacher development through dynamic discourse." Normal, Ill. : Illinois State University, 2007. http://proquest.umi.com/pqdweb?index=0&did=1417799381&SrchMode=1&sid=8&Fmt=2&VInst=PROD&VType=PQD&RQT=309&VName=PQD&TS=1207665349&clientId=43838.
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Thesis (Ph. D.)--Illinois State University, 2007.Title from title page screen, viewed on April 8, 2008. Dissertation Committee: Jeffrey Barrett (chair), Nerida Ellerton, Sharon Soucy McCrone, Cynthia Moore, Michael Plantholt, Agida Manizade. Includes bibliographical references (leaves 200-215) and abstract. Also available in print.
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Guinee, Patricia Ann Lubinski Cheryl Ann. "A student teaching experience that focuses on elementary students' mathematical understanding." Normal, Ill. Illinois State University, 2002. http://wwwlib.umi.com/cr/ilstu/fullcit?p3064532.
Full textAbstract:
Thesis (Ph. D.)--Illinois State University, 2002.Title from title page screen, viewed February 7, 2006. Dissertation Committee: Cheryl A. Lubinski (chair), Patricia H. Klass, Sherry L. Meier, Janet Warfield. Includes bibliographical references (leaves 220-230) and abstract. Also available in print.
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Ilaslan, Serap. "Middle School Mathematics Teachers'." Master's thesis, METU, 2013. http://etd.lib.metu.edu.tr/upload/12615681/index.pdf.
Full textAbstract:
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&rsquoproblems 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
s support should be increased, concrete and technological materials should be sufficient in number, and the duration of transformational geometry lesson should be increased.
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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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Cheung, Kok-chung. "The relationship between a teacher's conceptions and her teaching practice : an example from the teaching of Pythagoras' theorem /." Hong Kong : University of Hong Kong, 2001. http://sunzi.lib.hku.hk/hkuto/record.jsp?B23500803.
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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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Kurt, Gonul. "Pre-service Elementary Mathematics Teachers." Phd thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612740/index.pdf.
Full textAbstract:
The current study seeks to investigate pre-service elementary mathematics teachers&rsquo(PEMTs&rsquo
) 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
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
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
s and Pintrich&rsquo
s SRL models. The findings of the pre-interviews revealed that PEMTs began with a &lsquo
lesson planning process&rsquo
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
SRL strategies.
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Kersting, Nicole B. "Assessing teachers' knowledge of teaching mathematics instrument development and validation /." Diss., Restricted to subscribing institutions, 2005. http://proquest.umi.com/pqdweb?did=953999911&sid=1&Fmt=2&clientId=1564&RQT=309&VName=PQD.
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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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