Pedagogy And Content In Middle And High School Mathematics

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Pedagogy and Content in Middle and High School Mathematics

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Author : G. Donald Allen
Publisher : Springer
ISBN 13 : 9463511377
Total Pages : 277 pages
Book Rating : 4.4/5 (635 download)

Book Synopsis Pedagogy and Content in Middle and High School Mathematics by : G. Donald Allen

Download or read book Pedagogy and Content in Middle and High School Mathematics written by G. Donald Allen and published by Springer. This book was released on 2017-11-10 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an accumulation of articles, included in Focus on Mathematics Pedagogy and Content, a newsletter for teachers, published by Texas A&M University. Each article presents a discussion of a middle or high school mathematics topic. Many of the articles are written by professors at Texas A&M University. The book is broken into three parts, with the first part focusing on content and pedagogy, related to the NCTM content strands of Number, Algebra, Geometry, Measurement, and Statistics and Probability. Articles include an in-depth presentation of mathematical content, as well as suggested instructional strategies. Thus, the integration of content knowledge and pedagogical knowledge is emphasized. The second and third parts apply to assessments, mathematical games, teaching tips, and technological applications. While other pedagogical reference books may provide an in-depth look at how to teach a topic, this book includes articles that also explain a topic, in great length. Thus, teachers may develop content knowledge first and then re-read each article, in order to learn appropriate instructional strategies to use. Many articles include technological applications, which are interspersed throughout the book. In addition, a special section, which includes helpful information, available tools, training sessions, and other references, for using technology in mathematics, is also presented.

High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice

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Author : Robert Q. Berry III
Publisher : Corwin Press
ISBN 13 : 1071806467
Total Pages : 328 pages
Book Rating : 4.0/5 (718 download)

Book Synopsis High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice by : Robert Q. Berry III

Download or read book High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice written by Robert Q. Berry III and published by Corwin Press. This book was released on 2020-03-09 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Empower students to be the change—join the teaching mathematics for social justice movement! We live in an era in which students have —through various media and their lived experiences— a more visceral experience of social, economic, and environmental injustices. However, when people think of social justice, mathematics is rarely the first thing that comes to mind. Through model lessons developed by over 30 diverse contributors, this book brings seemingly abstract high school mathematics content to life by connecting it to the issues students see and want to change in the world. Along with expert guidance from the lead authors, the lessons in this book explain how to teach mathematics for self- and community-empowerment. It walks teachers step-by-step through the process of using mathematics—across all high school content domains—as a tool to explore, understand, and respond to issues of social injustice including: environmental injustice; wealth inequality; food insecurity; and gender, LGBTQ, and racial discrimination. This book features: Content cross-referenced by mathematical concept and social issues Downloadable instructional materials for student use User-friendly and logical interior design for daily use Guidance for designing and implementing social justice lessons driven by your own students’ unique passions and challenges Timelier than ever, teaching mathematics through the lens of social justice will connect content to students’ daily lives, fortify their mathematical understanding, and expose them to issues that will make them responsive citizens and leaders in the future.

Teaching to the Math Common Core State Standards

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Author : F. D. Rivera
Publisher : Springer
ISBN 13 : 9462099626
Total Pages : 228 pages
Book Rating : 4.4/5 (62 download)

Book Synopsis Teaching to the Math Common Core State Standards by : F. D. Rivera

Download or read book Teaching to the Math Common Core State Standards written by F. D. Rivera and published by Springer. This book was released on 2015-06-17 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a methods book for preservice middle level majors and beginning middle school teachers. It takes a very practical approach to learning to teach middle school mathematics in an emerging Age of the Common Core State Standards. The Common Core State Standards in Mathematics (CCSSM) is not meant to be “the” official mathematics curriculum; it was purposefully developed primarily to provide clear learning expectations of mathematics content that are appropriate at every grade level and to help prepare all students to be ready for college and the workplace. A quick glance at the Table of Contents in this book indicates a serious engagement with the recommended mathematics underlying the Grade 5 through Grade 8 and (traditional pathway) Algebra I portions of the CCSSM first, with issues in content-practice assessment, learning, teaching, and classroom management pursued next and in that order. In this book we explore what it means to teach to the CCSSM within an alignment mindset involving content-practice learning, teaching, and assessment. The Common Core state content standards, which pertain to mathematical knowledge, skills, and applications, have been carefully crafted so that they are teachable, learnable, coherent, fewer, clearer, and higher. The practice standards, which refer to institutionally valued mathematical actions, processes, and habits, have been conceptualized in ways that will hopefully encourage all middle school students to engage with the content standards more deeply than merely acquiring mathematical knowledge by rote and imitation. Thus, in the CCSSM, proficiency in content alone is not sufficient, and so does practice without content, which is limited. Content and practice are both equally important and, thus, must come together in teaching, learning, and assessment in order to support authentic mathematical understanding. This blended multisourced text is a “getting smart” book. It prepares preservice middle level majors and beginning middle school teachers to work within the realities of accountable pedagogy and to develop a proactive disposition that is capable of supporting all middle school students in order for them to experience growth in mathematical understanding that is necessary for high school and beyond, including future careers.

Practitioner's Guide to Technology, Pedagogy, and Content Knowledge (Tpack) Rich Media Cases of Teacher Knowledge

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Author : Mark Hofer
Publisher :
ISBN 13 : 9781939797179
Total Pages : 158 pages
Book Rating : 4.7/5 (971 download)

Book Synopsis Practitioner's Guide to Technology, Pedagogy, and Content Knowledge (Tpack) Rich Media Cases of Teacher Knowledge by : Mark Hofer

Download or read book Practitioner's Guide to Technology, Pedagogy, and Content Knowledge (Tpack) Rich Media Cases of Teacher Knowledge written by Mark Hofer and published by . This book was released on 2015-09-15 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics Matters in Education

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Author : Yeping Li
Publisher : Springer
ISBN 13 : 3319614347
Total Pages : 298 pages
Book Rating : 4.3/5 (196 download)

Book Synopsis Mathematics Matters in Education by : Yeping Li

Download or read book Mathematics Matters in Education written by Yeping Li and published by Springer. This book was released on 2017-10-03 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is inspired by Roger E. Howe's contributions to the international communities of mathematics and mathematics education. Renowned for his research contributions in the fields of representation theory, automorphic forms, harmonic analysis, and invariant theory, Dr. Howe has also fundamentally deepened our understanding of the mathematics taught in the early school grades and has challenged and stimulated mathematicians and mathematics educators to work together to examine this part of the mathematical universe more critically and in imaginative new ways. This volume will help summarize and highlight Howe's contributions to several topic areas in mathematics education, demonstrating the possibility and importance of engaging mathematicians in high-impact research in mathematics education, and showcasing the importance of cross-disciplinary collaboration and exchange.

Making Sense of Mathematics for Teaching High School

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Author : Edward C. Nolan
Publisher : Solution Tree Press
ISBN 13 : 1942496494
Total Pages : 231 pages
Book Rating : 4.9/5 (424 download)

Book Synopsis Making Sense of Mathematics for Teaching High School by : Edward C. Nolan

Download or read book Making Sense of Mathematics for Teaching High School written by Edward C. Nolan and published by Solution Tree Press. This book was released on 2016-05-19 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index

Teaching Secondary and Middle School Mathematics

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Author : Daniel J. Brahier
Publisher : Taylor & Francis
ISBN 13 : 1003820042
Total Pages : 540 pages
Book Rating : 4.0/5 (38 download)

Book Synopsis Teaching Secondary and Middle School Mathematics by : Daniel J. Brahier

Download or read book Teaching Secondary and Middle School Mathematics written by Daniel J. Brahier and published by Taylor & Francis. This book was released on 2024-01-22 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching Secondary and Middle School Mathematics combines the latest developments in research, technology, and standards with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics. The book explores the mathematics teaching profession by examining the processes of planning, teaching, and assessing student progress through practical examples and recommendations. Beginning with an examination of what it means to teach and learn mathematics, the reader is led through the essential components of teaching, concluding with an examination of how teachers continue with professional development throughout their careers. Hundreds of citations are used to support the ideas presented in the text, and specific websites and other resources are presented for future study by the reader. Classroom scenarios are presented to engage the reader in thinking through specific challenges that are common in mathematics classrooms. The seventh edition has been updated and expanded with particular emphasis on the latest technology, standards, and other resources. The reader is introduced to the ways that students think and how to best meet their needs through planning that involves attention to differentiation, as well as how to manage a classroom for success. Features include: • Following on from the sixth edition, assessment takes a central role in planning and teaching. Unit 3 (of 5) addresses the use of summative and formative assessments to inform classroom teaching practices. • A new appendix is included that lists websites that can be used in a methods class to view other teachers interacting with students for discussion of effective teaching practices. • The feature entitled “Links and Resources” has been updated in each of the 13 chapters. Five strongly recommended and practical resources are spotlighted at the end of each chapter as an easy reference to some of the most important materials on the topic. • Approximately 150 new citations have either replaced or been added to the text to reflect the latest in research, materials, and resources that support the teaching of mathematics. • Significant revisions have been made to Chapter 12, which now includes updated research and practices as well as a discussion on culturally responsive pedagogy. Likewise, Chapter 8 now includes a description of best and high-leverage teaching practices, and a discussion in Chapter 11 on alternative high school mathematics electives for students has been added. • Chapter 9, on the practical use of classroom technology, has again been revised to reflect the latest tools available to classroom teachers, including apps that can be run on handheld personal devices, in light of changes in education resulting from the global pandemic. An updated Instructor’s Manual features a test bank, sample classroom activities, PowerPoint slide content, chapter summaries, and learning outcomes for each chapter, and can be accessed by instructors online at www.routledge.com/9781032472867.

Embracing Mathematics

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Author : Peter Appelbaum
Publisher : Routledge
ISBN 13 : 1135892237
Total Pages : 484 pages
Book Rating : 4.1/5 (358 download)

Book Synopsis Embracing Mathematics by : Peter Appelbaum

Download or read book Embracing Mathematics written by Peter Appelbaum and published by Routledge. This book was released on 2008-06-30 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This alternative textbook for courses on teaching mathematics asks teachers and prospective teachers to reflect on their relationships with mathematics and how these relationships influence their teaching and the experiences of their students. Applicable to all levels of schooling, the book covers basic topics such as planning and assessment, classroom management, and organization of classroom experiences; it also introduces some novel approaches to teaching mathematics, such as psychoanalytic perspectives and post-modern conceptions of curriculum. Traditional methods-of-teaching issues are recast in a new discourse, provoking new ideas for making mathematics education meaningful to teachers as well as their students. Co-authored by a professor and coordinator of mathematics education programs, with illustrative contributions from practicing elementary, middle, and high school mathematics teachers, this book is a unique collaboration across all pre-college grades, making it ideal for teacher discussion groups at any level. Embracing Mathematics: integrates pedagogy and content exploration in ways that are unique in mathematics education features textboxes with reflection questions and suggested explorations that can be easily utilized as homework for a course or as discussion opportunities for teacher reading groups offers examples of teachers’ action research projects that grew out of their interactions with the main chapters in the book is not narrowly limited to mathematics education but incorporates curriculum studies – an invaluable asset that allows instructors to find more ways to engage students in self-reflexive acts of teaching Embracing Mathematics is intended as a method text for undergraduate and master’s-level mathematics education courses and more specialized graduate courses on mathematics education, and as a resource for teacher discussion groups.

Visible Learning for Mathematics, Grades K-12

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Author : John Hattie
Publisher : Corwin Press
ISBN 13 : 1506362958
Total Pages : 209 pages
Book Rating : 4.5/5 (63 download)

Book Synopsis Visible Learning for Mathematics, Grades K-12 by : John Hattie

Download or read book Visible Learning for Mathematics, Grades K-12 written by John Hattie and published by Corwin Press. This book was released on 2016-09-15 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.

Teaching and Learning High School Mathematics

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Author : Charlene E. Beckmann
Publisher : John Wiley & Sons
ISBN 13 : 0470454504
Total Pages : 484 pages
Book Rating : 4.4/5 (74 download)

Book Synopsis Teaching and Learning High School Mathematics by : Charlene E. Beckmann

Download or read book Teaching and Learning High School Mathematics written by Charlene E. Beckmann and published by John Wiley & Sons. This book was released on 2009-11-02 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Too many high school students, faced with mathematics in courses at the level of algebra and beyond, find themselves struggling with abstract concepts and unwilling to pursue further study of mathematics. When students curtail their course taking in mathematics, they may be impacting their college and career options. Thus, high school mathematics teachers have the responsibility to help students recognize the value and importance of mathematics while also designing instruction that makes mathematics accessible to all students. Ball and Bass (2000), as well as other mathematics educators, have recognized that mathematics teachers not only need to know mathematics content and mathematics pedagogy (i.e., teaching strategies) but they also need to know how these ideas are integrated. This mathematical knowledge for teaching is the knowledge that teachers of mathematics need and it differs from the knowledge that research or applied mathematicians must know. This text is designed to provide teachers with insights into this mathematical knowledge for teaching. Teaching and Learning High School Mathematics is likely different from many other texts that you have used. It integrates both content and pedagogy to help you develop and build your own understanding of teaching. The text is designed to help you develop “deep conceptual understanding of fundamental mathematics” (Ma 1999) so that you are able to approach mathematics from multiple perspectives with many tools. Such flexibility in teaching is essential if teachers are to help all students become mathematically proficient. Throughout this book, you are encouraged to work in cooperative teams. This strategy is designed to help you develop a mathematics learning community and build a professional network that will be a valuable resource during your professional career. Hopefully, you will experience the benefits of engaging in rich mathematical discussions with peers and consider how to encourage such learning environments in your own classrooms. Lesson planning is another element pervasive throughout this text. To help teachers plan for effective student-centered lessons, the Question Response Support (QRS) Guide is introduced in Lesson 1.1 and used throughout the remainder of the lessons. The QRS Guide is a tool on which teachers may record tasks or questions (Q) for students, expected and observed student responses (R), and teacher support (S) in the form of additional “just enough” questions to support students in their progress on the task. In each unit, teachers expand their repertoire of teaching and learning elements and strategies and incorporate these elements as they plan additional lesson segments. In Unit 4 lesson planning is formally introduced as teachers put together elements from previous units into complete, cohesive lesson plans.

Teaching Mathematics in Secondary and Middle School

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Author : James S. Cangelosi
Publisher : Prentice Hall
ISBN 13 : 9780134392332
Total Pages : 0 pages
Book Rating : 4.3/5 (923 download)

Book Synopsis Teaching Mathematics in Secondary and Middle School by : James S. Cangelosi

Download or read book Teaching Mathematics in Secondary and Middle School written by James S. Cangelosi and published by Prentice Hall. This book was released on 1996 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: For senior-level and graduate courses in Methods of Teaching Mathematics for Secondary and Middle School Teachers. Focused on all the complex aspects of teaching mathematics in today's classroom and the most current NCTM recommendations and standards this text shows students how to creatively incorporate the Standards into their teaching along with inquiry instructional strategies (for leading pupils to do meaningful mathematics) and direct strategies (for developing mathematical skills). Interactive in approach, it includes an abundance of illustrative examples, numerous cases, one expansive case study that follows a mathematics teacher through his first year in the profession, cooperative learning activities, field-based activities, and transitional activities.

Teacher Education Matters

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Author : William H. Schmidt
Publisher :
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.3/5 (97 download)

Book Synopsis Teacher Education Matters by : William H. Schmidt

Download or read book Teacher Education Matters written by William H. Schmidt and published by . This book was released on 2011-01-20 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a major international teacher education research project—the Mathematics Teaching in the 21st Century Study (MT21)—this book investigates the preservice preparation of middle school mathematics teachers in the United States, South Korea, Taiwan, Germany, Bulgaria, and Mexico. The study was funded by the National Science Foundation and the participating countries. William Schmidt (co-author of the influential TIMSS study on student test results in science and math) and Maria Teresa Tatto (director of the Teacher Education and Development study, or TEDS-M) led a collaborative team of international researchers in this study. Using the results of more than 2,500 surveys, the authors examine the differential contribution of the six countries’ teacher-education models to the knowledge, skills, and dispositions of their future mathematics teachers. Case studies and detailed analyses of the teacher education curriculum across the participating countries provide rich contextual information to explain the survey findings. This study is the first to examine the resource allocation and economic support in teacher education vis-à-vis other mathematics-related professions, and it shows that differential investment patterns are consistent with the level of teaching knowledge found in each country’s new teachers. The book includes a chapter on policy implications, with a special focus on teacher preparation in the United States.

Secondary Lenses on Learning Participant Book

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Author : Catherine Miles Grant
Publisher : Corwin Press
ISBN 13 : 1412972809
Total Pages : 425 pages
Book Rating : 4.4/5 (129 download)

Book Synopsis Secondary Lenses on Learning Participant Book by : Catherine Miles Grant

Download or read book Secondary Lenses on Learning Participant Book written by Catherine Miles Grant and published by Corwin Press. This book was released on 2009-07-08 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This participant book, in combination with the facilitator's guide, forms a comprehensive professional development program designed to improve the efforts of site-based mathematics leadership teams for middle and high schools. Secondary Lenses on Learning prepares leaders to explore concepts in middle and high school algebra as a window into content, instruction, and assessment. You will learn how to assess the strengths and needs of your mathematics programs, set goals, and generate plans for ongoing improvement by engaging in extended explorations and conversations based on readings, problem-based activities, cases, and videos.

Making Sense of Mathematics for Teaching, Grades 3-5

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Author : Juli K. Dixon
Publisher : Solution Tree Press
ISBN 13 : 1942496435
Total Pages : 386 pages
Book Rating : 4.9/5 (424 download)

Book Synopsis Making Sense of Mathematics for Teaching, Grades 3-5 by : Juli K. Dixon

Download or read book Making Sense of Mathematics for Teaching, Grades 3-5 written by Juli K. Dixon and published by Solution Tree Press. This book was released on 2016-04-11 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develop a deep understanding of mathematics. This user-friendly resource presents grades 3–5 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Focus on an understanding of and procedural fluency with multiplication and division. Address how to learn and teach fraction concepts and operations with depth. Thoroughly teach plane and solid geometry. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Place Value, Addition, and Subtraction 2 Multiplication and Division 3 Fraction Concepts 4 Fraction Operations 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals

Reading and Writing the World with Mathematics

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Author : Eric Gutstein
Publisher : Routledge
ISBN 13 : 1136284656
Total Pages : 274 pages
Book Rating : 4.1/5 (362 download)

Book Synopsis Reading and Writing the World with Mathematics by : Eric Gutstein

Download or read book Reading and Writing the World with Mathematics written by Eric Gutstein and published by Routledge. This book was released on 2012-09-10 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics education in the United States can reproduce social inequalities whether schools use either "basic-skills" curricula to prepare mainly low-income students of color for low-skilled service jobs or "standards-based" curricula to ready students for knowledge-intensive positions. And working for fundamental social change and rectifying injustice are rarely included in any mathematics curriculum. Reading and Writing the World with Mathematics argues that mathematics education should prepare students to investigate and critique injustice, and to challenge, in words and actions, oppressive structures and acts. Based on teacher-research, the book provides a theoretical framework and practical examples for how mathematics educators can connect schooling to a larger sociopolitical context and concretely teach mathematics for social justice.

Mathematics in Middle and Secondary School

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Author : Alexander Karp
Publisher : IAP
ISBN 13 : 1623968143
Total Pages : 456 pages
Book Rating : 4.6/5 (239 download)

Book Synopsis Mathematics in Middle and Secondary School by : Alexander Karp

Download or read book Mathematics in Middle and Secondary School written by Alexander Karp and published by IAP. This book was released on 2014-11-01 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The experience and knowledge acquired in teacher education courses should build important fundamentals for the future teaching of mathematics. In particular, experience in mathematical problem solving, and in planning lessons devoted to problem solving, is an essential component of teacher preparation. This book develops a problem solving approach and is intended to be a text used in mathematics education courses (or professional development) for pre-service or in-service middle and secondary school teachers. It can be used both in graduate and undergraduate courses, in accordance with the focus of teacher preparation programs. The content of the book is suited especially for those students who are further along in their mathematics education preparation, as the text is more involved with mathematical ideas and problem solving, and discusses some of the intricate pedagogical considerations that arise in teaching. The text is written not as an introduction to mathematics education (a first course), but rather as a second, or probably, third course. The book deals both with general methodology issues in mathematics education incorporating a problem solving approach (Chapters 1-6) and with more concrete applications within the context of specific topics – algebra, geometry, and discrete mathematics (Chapters 7-13). The book provides opportunities for teachers to engage in authentic mathematical thinking. The mathematical ideas under consideration build on specific middle and secondary school content while simultaneously pushing the teacher to consider more advanced topics, as well as various connections across mathematical domains. The book strives to preserve the spirit of discussion, and at times even argument, typical of collaborative work on a lesson plan. Based on the accumulated experience of work with future and current teachers, the book assumes that students have some background in lesson planning, and extends their thinking further. Specifically, this book aims to provide a discussion of how a lesson plan is constructed, including the ways in which problems are selected or invented, rather than the compilation of prepared lesson plans. This approach reflects the authors’ view that the process of searching for an answer is often more important than the formal result.

The Pedagogy of Proving in Middle School Mathematics

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Author : Kristen N. Bieda
Publisher :
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.:/5 (891 download)

Book Synopsis The Pedagogy of Proving in Middle School Mathematics by : Kristen N. Bieda

Download or read book The Pedagogy of Proving in Middle School Mathematics written by Kristen N. Bieda and published by . This book was released on 2008 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: