Preservice Secondary Mathematics Teachers Knowledge Of Students

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Educating Prospective Secondary Mathematics Teachers

Author : Marilyn E. Strutchens
Publisher : Springer
ISBN 13 : 3319910590
Total Pages : 324 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Educating Prospective Secondary Mathematics Teachers by : Marilyn E. Strutchens

Download or read book Educating Prospective Secondary Mathematics Teachers written by Marilyn E. Strutchens and published by Springer. This book was released on 2018-06-01 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights innovative approaches to preparing secondary mathematics teachers. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for preparing secondary mathematics teachers, and discusses issues related to their professional and personal growth, such as identity, content knowledge, and pedagogical content knowledge which also includes knowledge of integrating technology into teaching and learning mathematics. Divided into four parts, the book focuses on field experiences, technologies, tools and resources, teacher knowledge, and teacher professional identities. Some of the main threads running through the book are: the importance of university and school partners working together to ensure preservice secondary mathematics teacher’ success in developing pedagogical strategies that lead toward students’ mathematical engagement and achievement; the critical need for preservice secondary mathematics teachers to develop strong content knowledge and pedagogical content knowledge; and the importance of providing opportunities, during pre-service education, for developing prospective teachers ́professional identities.

Preservice Secondary Mathematics Teachers' Knowledge of Students

Author : Hulya Kilic
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Preservice Secondary Mathematics Teachers' Knowledge of Students by : Hulya Kilic

Download or read book Preservice Secondary Mathematics Teachers' Knowledge of Students written by Hulya Kilic and published by . This book was released on 2011 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this paper is to present the nature of preservice secondary mathematics teachers' knowledge of students as emerged from a study investigating the development of their pedagogical content knowledge in a methods course and its associated field experience. Six preservice teachers participated in the study and the data were collected in the forms of observations, interviews and written documents. Knowledge of students is defined as teachers' knowledge of what mathematical concepts are difficult for students to grasp, which concepts students typically have misconceptions about, possible sources of students' errors, and how to eliminate those difficulties and misconceptions. The findings revealed that preservice teachers had difficulty in both identifying the source of students' misconceptions, and errors and generating effective ways different than telling the rules or procedures to eliminate such misconceptions. Furthermore, preservice teachers' knowledge of students was intertwined with their knowledge of subject matter and knowledge of pedagogy. They neither had strong conceptual knowledge of mathematics nor rich repertoire of teaching strategies. Therefore, they frequently failed to recognize what conceptual knowledge the students were lacking and inclined to address students' errors by telling how to carry out the procedure or apply the rule to solve the given problem correctly. A questionnaire is appended. (Contains 4 figures and 1 footnote.).

The Mathematics Education of Prospective Secondary Teachers Around the World

Author : Marilyn E. Strutchens
Publisher : Springer
ISBN 13 : 3319389653
Total Pages : 63 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis The Mathematics Education of Prospective Secondary Teachers Around the World by : Marilyn E. Strutchens

Download or read book The Mathematics Education of Prospective Secondary Teachers Around the World written by Marilyn E. Strutchens and published by Springer. This book was released on 2016-10-22 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume shares and discusses significant new trends and developments in research and practices related to various aspects of preparing prospective secondary mathematics teachers from 2005–2015. It provides both an overview of the current state-of-the-art and outstanding recent research reports from an international perspective. The authors completed a thorough review of the literature by examining major journals in the field of mathematics education, and other journals related to teacher education and technology. The systematic review includes four major themes: field experiences; technologies, tools and resources; teachers' knowledge; and teachers' professional identities. Each of them is presented regarding theoretical perspectives, methodologies, and major findings. Then the authors discuss what is known in the field and what we still need to know related to the major topics.

Exposing Pre-service Secondary Mathematics Teachers Ḱnowledge Through New Research Design Methodology

Author : Tetyana Berezovski
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Exposing Pre-service Secondary Mathematics Teachers Ḱnowledge Through New Research Design Methodology by : Tetyana Berezovski

Download or read book Exposing Pre-service Secondary Mathematics Teachers Ḱnowledge Through New Research Design Methodology written by Tetyana Berezovski and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study is an extension to the ongoing research on secondary mathematics teachers ḱnowledge. This study focused on the concepts of logarithms and logarithmic functions. Several research studies have confirmed that high-school and undergraduate students have a very poor knowledge of logarithms and logarithmic functions. One of the possible reasons for students' difficulties could be an insufficient teachers' knowledge of this subject domain. As of yet, there has not been research into teachers' knowledge of logarithms. This study was an attempt to fill this gap. The deeper understanding of teachers' knowledge, particularly subject matter content knowledge and related pedagogical skills, leads towards improvement of instructional approaches for more effective teacher training. The questions posed in this study are: What do the designed tasks reveal about the nature of teachers' knowledge? What can be seen as the relationship between pre-service secondary mathematics teachers' subject matter knowledge and pedagogical content knowledge? To what extent are these tasks effective and useful as data collection tools for research in mathematics education? This study identified that pre-service teachers are aware of possible difficulties of teaching or learning the concepts of logarithms and logarithmic functions. However, their insufficient subject matter content knowledge disallowed participants to explain why the situations prompted by their own questions were indeed problematic and important. On the whole, the pre-service teachers' displayed a relatively weak content knowledge of logarithms and logarithmic functions, exemplified by weak subject matter knowledge and related pedagogical content knowledge. Another goal of this research was to determine the effectiveness of the research methodology developed and used in this study. I designed a unique research task, called the Job Interview, and utilized another research task, known as the Math Play. These activities allowed me to investigate pre-service teachers' knowledge from many different sources that yielded very diverse information about the participants' knowledge. Also, these tasks proved to be important learning activities. They allowed pre-service teachers to re-examine high school mathematics content and reflect on their practice, while keeping in focus students' meaningful learning.

Handbook of Research on TPACK in the Digital Age

Author : Niess, Margaret L.
Publisher : IGI Global
ISBN 13 : 1522570020
Total Pages : 521 pages
Book Rating : 4.5/5 (225 download)

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Book Synopsis Handbook of Research on TPACK in the Digital Age by : Niess, Margaret L.

Download or read book Handbook of Research on TPACK in the Digital Age written by Niess, Margaret L. and published by IGI Global. This book was released on 2018-11-02 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: The impact of digital technologies in education has called for teachers to be prepared to facilitate their students’ learning through communication, collaboration, critical thinking, and creativity. In order to create ideal learning environments for their students, teachers must develop a more integrated knowledge for infusing digital technologies as learning tools, a knowledge referred to as TPACK. The Handbook of Research on TPACK in the Digital Age provides innovative insights into teacher preparation for the effective integration of digital technologies into the classroom. The content within this publication represents the work of online learning, digital technologies, and pedagogical strategies. It is designed for teachers, educational designers, instructional technology faculty, administrators, academicians, and education graduate students, and covers topics centered on classroom technology integration and teacher knowledge and support.

The Proceedings of the 12th International Congress on Mathematical Education

Author : Sung Je Cho
Publisher : Springer
ISBN 13 : 3319126881
Total Pages : 617 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis The Proceedings of the 12th International Congress on Mathematical Education by : Sung Je Cho

Download or read book The Proceedings of the 12th International Congress on Mathematical Education written by Sung Je Cho and published by Springer. This book was released on 2015-02-10 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.

Characterizing the Pedagogical Content Knowledge of Pre-service Secondary Mathematics Teachers

Author : Wendy A. O'Hanlon
Publisher :
ISBN 13 : 9781267037244
Total Pages : 706 pages
Book Rating : 4.0/5 (372 download)

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Book Synopsis Characterizing the Pedagogical Content Knowledge of Pre-service Secondary Mathematics Teachers by : Wendy A. O'Hanlon

Download or read book Characterizing the Pedagogical Content Knowledge of Pre-service Secondary Mathematics Teachers written by Wendy A. O'Hanlon and published by . This book was released on 2010 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: NCTM (2000) states "teachers need to know and use mathematics for teaching that combines mathematical knowledge and pedagogical knowledge" (p. 370). Unfortunately, "teacher education across the 20th century has consistently been severed by a persistent divide between subject matter and pedagogy" (Ball & Bass, 2000, p. 85). The need for pedagogical content knowledge, and lack of attention paid to it, begs for research on its status and development within teachers. Understanding the pedagogical content knowledge of pre-service teachers is essential to informing and improving teacher preparation programs. The researcher in this study documented, tracked, and characterized pre-service teachers' pedagogical content knowledge in terms of knowledge of instruction and knowledge of student learning as they completed their senior-year mathematics methods courses and student teaching. The study employed a rubric (O'Hanlon, 2009) that measured various constructs of pedagogical content knowledge. The methods employed provided insights into the pedagogical content knowledge of pre-service teachers, including ways to determine and characterize pedagogical content knowledge. The results provided evidence that there is a difference between the pedagogical content knowledge that the pre-service secondary mathematics teachers displayed in terms of the constructs of knowledge of instruction and the constructs of knowledge of student learning. Further, these differences were evident to varying degrees on the different class assignments. Following and documenting the pre-service teachers' pedagogical content knowledge throughout the class assignments in the study produced a characterization of their pedagogical content knowledge throughout the final year of a four-year secondary mathematics education program. The details and insight found in the study have substantial implications for the broader research community and raise questions that need to be examined in future studies.

Exploring Mathematics and Science Teachers' Knowledge

Author : Hamsa Venkat
Publisher : Routledge
ISBN 13 : 1134683642
Total Pages : 236 pages
Book Rating : 4.1/5 (346 download)

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Book Synopsis Exploring Mathematics and Science Teachers' Knowledge by : Hamsa Venkat

Download or read book Exploring Mathematics and Science Teachers' Knowledge written by Hamsa Venkat and published by Routledge. This book was released on 2014-05-09 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Globally, mathematics and science education faces three crucial challenges: an increasing need for mathematics and science graduates; a declining enrolment of school graduates into university studies in these disciplines; and the varying quality of school teaching in these areas. Alongside these challenges, internationally more and more non-specialists are teaching mathematics and science at both primary and secondary levels, and research evidence has revealed how gaps and limitations in teachers’ content understandings can lead to classroom practices that present barriers to students’ learning. This book addresses these issues by investigating how teachers’ content knowledge interacts with their pedagogies across diverse contexts and perspectives. This knowledge-practice nexus is examined across mathematics and science teaching, traversing schooling phases and countries, with an emphasis on contexts of disadvantage. These features push the boundaries of research into teachers’ content knowledge. The book’s combination of mathematics and science enriches each discipline for the reader, and contributes to our understandings of student attainment by examining the nature of specialised content knowledge needed for competent teaching within and across the two domains. Exploring Mathematics and Science Teachers’ Knowledge will be key reading for researchers, doctoral students and postgraduates with a focus on Mathematics, Science and teacher knowledge research.

Preservice Secondary Mathematics Teachers' Development of Mathematical Knowledge for Teaching and Their Use of Knowledge in Their Instruction

Download Preservice Secondary Mathematics Teachers' Development of Mathematical Knowledge for Teaching and Their Use of Knowledge in Their Instruction PDF Online Free

Author : Kyunghee Moon
Publisher :
ISBN 13 : 9781303539800
Total Pages : 218 pages
Book Rating : 4.5/5 (398 download)

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Book Synopsis Preservice Secondary Mathematics Teachers' Development of Mathematical Knowledge for Teaching and Their Use of Knowledge in Their Instruction by : Kyunghee Moon

Download or read book Preservice Secondary Mathematics Teachers' Development of Mathematical Knowledge for Teaching and Their Use of Knowledge in Their Instruction written by Kyunghee Moon and published by . This book was released on 2013 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Their lack of profound content knowledge in the topics they taught was one of the major contributing factors for those phenomena. It is advisable that secondary teacher educators pay extra attention to developing teachers' content knowledge as well as knowledge of student thinking. Without knowledge in these areas, it is unlikely that secondary teachers could help students understand critical mathematical ideas.

The Nature of Pre-service Secondary Mathematics Teachers' Knowledge of Mathematics for Teaching of Functions

Author :
Publisher :
ISBN 13 :
Total Pages : 285 pages
Book Rating : 4.:/5 (847 download)

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Book Synopsis The Nature of Pre-service Secondary Mathematics Teachers' Knowledge of Mathematics for Teaching of Functions by :

Download or read book The Nature of Pre-service Secondary Mathematics Teachers' Knowledge of Mathematics for Teaching of Functions written by and published by . This book was released on 2006 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This grounded theory study I explored the nature of knowledge of mathematics for teaching of five pre-service secondary mathematics teachers. Task based interviews were conducted which involved a variety of non-routine mathematical questions requiring the participants to identify and use different representations of various types of functions and connections among these representations. Through the interviews I explored these questions: What is the nature of knowledge of mathematics for teaching of functions among pre-service secondary mathematics teachers? How and how well can these participants use different representations of functions, and identify and use connections between these representations? How flexible and fluent are these participants in moving from one representation to another? How and how well can these participants deal with various types of functions and various properties of functions? What is the nature of the pedagogical and instructional decisions taken by these participants as they prepare to teach about functions? Although the participants differed in the nature of their knowledge structures, but the main theme that emerged out of this study is that the knowledge of these pre-service secondary mathematics teachers was incomplete. Many pieces of knowledge were missing for most of these participants, and the pieces of knowledge that they did possess were sometimes not integrated. Some of the participants in this study were unable to identify and use different representations of functions or move flexibly among different representations. These participants were not accustomed to dealing with unfamiliar and open-ended problems. They did not use formal language or precise mathematical terms while discussing the questions. Most of them seemed to favor informal language, and seemed uncomfortable in using mathematical language. They seemed to view mathematics as a collection of theories, concepts, rules, and procedures that is developed by the mathematicians, and they viewed themselves and their students as outsiders who have to learn and master these theories, concepts, rules, and procedures.

Teaching Mathematics to English Language Learners

Author : Luciana C. de Oliveira
Publisher : Springer Nature
ISBN 13 : 303048355X
Total Pages : 259 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Teaching Mathematics to English Language Learners by : Luciana C. de Oliveira

Download or read book Teaching Mathematics to English Language Learners written by Luciana C. de Oliveira and published by Springer Nature. This book was released on 2020-10-09 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book is about preparing pre-service and in-service teachers to teach secondary-level mathematics to English Language Learners (ELLs) in twenty-first century classrooms. Chapter topics are grounded in both research and practice, addressing a range of timely topics including the current state of ELL education in the secondary mathematics classroom, approaches to leveraging the talents and strengths of bilingual students in heterogeneous classrooms, best practices in teaching mathematics to multilingual students, and ways to infuse the secondary mathematics teacher preparation curriculum with ELL pedagogy. This book will appeal to all teachers of ELLs, teacher educators and researchers of language acquisition more broadly. This volume is part of a set of four edited books focused on teaching the key content areas to English language learners. The other books in the set focus on teaching History and Social Studies, English Language Arts, and Science to ELLs.

Teacher Noticing of Pre-service and In-service Secondary Mathematics Teachers

Author : Anton Bastian
Publisher : Springer Nature
ISBN 13 : 3658456191
Total Pages : 190 pages
Book Rating : 4.6/5 (584 download)

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Book Synopsis Teacher Noticing of Pre-service and In-service Secondary Mathematics Teachers by : Anton Bastian

Download or read book Teacher Noticing of Pre-service and In-service Secondary Mathematics Teachers written by Anton Bastian and published by Springer Nature. This book was released on with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Study of Three Preservice Secondary Mathematics Teachers' Knowledge and Beliefs about Mathematical Functions

Author : Melvin Richard Wilson
Publisher :
ISBN 13 :
Total Pages : 654 pages
Book Rating : 4.:/5 (261 download)

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Book Synopsis A Study of Three Preservice Secondary Mathematics Teachers' Knowledge and Beliefs about Mathematical Functions by : Melvin Richard Wilson

Download or read book A Study of Three Preservice Secondary Mathematics Teachers' Knowledge and Beliefs about Mathematical Functions written by Melvin Richard Wilson and published by . This book was released on 1992 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Secondary Mathematics Preservice Teachers' Beginning Story

Author : Marcella K. McConnell
Publisher :
ISBN 13 :
Total Pages : 414 pages
Book Rating : 4.:/5 (948 download)

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Book Synopsis Secondary Mathematics Preservice Teachers' Beginning Story by : Marcella K. McConnell

Download or read book Secondary Mathematics Preservice Teachers' Beginning Story written by Marcella K. McConnell and published by . This book was released on 2015 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this study was to determine how four preservice secondary mathematics teachers' experiences in learning how to teach shaped their development as teachers of low-achieving students. This narrative inquiry focused on their expectations, efficacy, mathematical myths beliefs, mathematical knowledge for teaching, and ability to have a caring relationship with their students. Two sources of practice based belief development (high school experiences and helping others) were identified as affecting the participants' stories. From these experiences as students, they developed the tendency to teach the way they wanted to be taught. As a positive implication, the participants learned to communicate mathematics in multiple ways. Conversely, three of them indicated a deficit model approach where they othered low-achieving students because they were not like them and were perceived as needing to be fixed. Furthermore, the deficit model approach seemed to impede the formation of caring relationships and the development of classrooms focused on problem solving. These results help identify the importance of Knowledge of Content and Students (KCS) in teaching low-achieving students well. Additionally, the participants appeared to need cognitive conflict such as classroom management issues before they realized they had false efficacy and lacked sufficient KCS. The study also gives some insight that caring relationships are diverse, evolving, and difficult to investigate. Most importantly, the results identified possible issues that preservice teachers should be aware of and pay attention to if they are going to develop into effective teachers of low-achieving students.

Preservice Secondary Mathematics Teacher's Knowledge about Teaching Mathematics and Decision-making Processes During Teacher Training

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Author : William Spencer Bush
Publisher :
ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.:/5 (131 download)

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Book Synopsis Preservice Secondary Mathematics Teacher's Knowledge about Teaching Mathematics and Decision-making Processes During Teacher Training by : William Spencer Bush

Download or read book Preservice Secondary Mathematics Teacher's Knowledge about Teaching Mathematics and Decision-making Processes During Teacher Training written by William Spencer Bush and published by . This book was released on 1982 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Relationships Between Preservice Secondary Mathematics Teachers' Beliefs, Knowledge, and Technology Use

Author : Somin Kim
Publisher :
ISBN 13 :
Total Pages : 314 pages
Book Rating : 4.:/5 (967 download)

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Book Synopsis Relationships Between Preservice Secondary Mathematics Teachers' Beliefs, Knowledge, and Technology Use by : Somin Kim

Download or read book Relationships Between Preservice Secondary Mathematics Teachers' Beliefs, Knowledge, and Technology Use written by Somin Kim and published by . This book was released on 2016 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multi-case study examines the relationships between preservice teachers' beliefs and knowledge regarding teaching mathematics with technology. Based on the theoretical framework on teacher beliefs and Technology, Pedagogy, and Content Knowledge (TPACK), I investigated four preservice secondary mathematics teachers' technological pedagogical content knowledge (TPCK) and their beliefs about the nature of mathematics, learning and teaching mathematics, and the use of technology in the mathematics classroom. Three semi-structured interviews (beliefs, task-based, and performance interviews) were used to collect data about the preservice teachers' TPACK components, beliefs, and how to use a technology tool in their imaginary mathematics teaching. The findings of this study indicated that preservice teachers with sophisticated or student-centered beliefs about the nature of mathematics, learning mathematics, and technology use displayed higher levels of mathematical content knowledge, pedagogical content knowledge, and technological content knowledge, respectively, than preservice teachers with traditional or teacher-centered beliefs about mathematics, learning mathematics, and technology use. In addition, this study suggested that in order to effectively use technology to teach mathematics, preservice teachers should develop their beliefs and knowledge in all areas of mathematics, pedagogy, and technology. Understanding the relationships between preservice teachers' TPACK and beliefs provides insights into how teacher education programs can support preservice teachers to develop TPACK and integrate technology into their future mathematics instruction.

Mathematical Knowledge in Teaching

Author : Tim Rowland
Publisher : Springer Science & Business Media
ISBN 13 : 904819766X
Total Pages : 300 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Mathematical Knowledge in Teaching by : Tim Rowland

Download or read book Mathematical Knowledge in Teaching written by Tim Rowland and published by Springer Science & Business Media. This book was released on 2011-01-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.