Making Sense Of Mathematics For Teaching High School
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Making Sense Of Mathematics For Teaching High School
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Author : Edward C. Nolan
language : en
Publisher: Solution Tree Press
Release Date : 2016-05-19
Making Sense Of Mathematics For Teaching High School written by Edward C. Nolan and has been published by Solution Tree Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-19 with Education categories.
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
Making Sense Of Mathematics For Teaching Grades 3 5
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Author : Juli K. Dixon
language : en
Publisher: Solution Tree Press
Release Date : 2016-04-11
Making Sense Of Mathematics For Teaching Grades 3 5 written by Juli K. Dixon and has been published by Solution Tree Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-11 with Education categories.
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
Making Sense Of Mathematics For Teaching The Small Group
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Author : Juli K. Dixon
language : en
Publisher: Every Student Can Learn Mathem
Release Date : 2018-07-13
Making Sense Of Mathematics For Teaching The Small Group written by Juli K. Dixon and has been published by Every Student Can Learn Mathem this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-13 with Education categories.
When done right, small-group instruction is a powerful tool for facilitating student understanding in K-5 mathematics. Throughout the book, best practices for small-group math instruction are addressed in detail, from planning tasks that encourage deep understanding to asking effective questions to engaging learners in meaningful conversations. Readers will learn how teaching mathematics in small groups allows you to differentiate instruction for both remediation and enrichment. The included small-group instruction videos demonstrate the suggested strategies in a real-classroom setting, giving readers the opportunity to see best practice in action. Develop math-specific instruction strategies for teaching small groups in elementary school: Explore the benefits of small-group math activities and how these activities are unique compared to large-group instruction. Discover the teacher's and students' roles in small-group instruction and how teachers can help students develop the skills to fulfill their role. Learn how to apply the general tasks, questions, and evidence (TQE) process to small-group instruction in order to enhance student learning and improve your knowledge of teaching mathematics. View examples of small-group instruction, which provide both math intervention and math enrichment activities for different students. Contents: Acknowledgments Table of Contents About the Authors Introduction Chapter 1: Best Practices in Small-Group Instruction Chapter 2: The TQE Process in Small-Group Instruction Chapter 3: Discourse in Small-Group Instruction Epilogue: How to Tie It All Together References Index
Making Sense Of Word Problems
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Author : Eric de Corte
language : en
Publisher: CRC Press
Release Date : 2000-01-01
Making Sense Of Word Problems written by Eric de Corte and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Education categories.
Word problems have been a staple of mathematics instruction for centuries, yet the rationale for their use has remained largely unexamined. A range of findings have shown how students consistently answer them in ways that fail to take account of the reality of the situations described. This monograph reports on studies carried out to investigate this "suspension of sense-making" in answering word problems. In Part One, a wide range of examples documenting the strength of the phenomenon is reviewed. Initial surprise at the findings was replaced by a conviction that the explanation lies in the culture of the mathematics classroom, specifically the rules implicitly governing the nature and interpretation of the word problem genre. This theoretical shift is reflected in Part Two. A detailed analysis of the way in which word problems are currently taught in typical mathematical classrooms is followed by reviews of design experiments illustrating how, by immersing students in a fundamentally changed learning environment, they can acquire what the authors consider to be more appropriate conceptions about, and strategies for doing, word problems. Part Three turns to a wider discussion of theoretical issues, a further analysis of the features of the educational system considered responsible for outcomes detrimental to many students' understanding and conception of mathematics, and suggestions for rethinking the role of word problems within the curriculum.
Teaching Mathematics At Secondary Level
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Author : Tony Gardiner
language : en
Publisher: Open Book Publishers
Release Date : 2016-02-08
Teaching Mathematics At Secondary Level written by Tony Gardiner and has been published by Open Book Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-08 with Mathematics categories.
Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present.This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.
Making Sense
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Author : James Hiebert
language : en
Publisher: Heinemann Educational Books
Release Date : 1997
Making Sense written by James Hiebert and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Education categories.
This book presents several key principles for teaching mathematics for understanding that you can use to reflect on your own teaching, make more informed decisions, and develop more effective systems of instruction.
Mathematics For High School Teachers
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Author : Zalman Usiskin
language : en
Publisher: Prentice Hall
Release Date : 2003
Mathematics For High School Teachers written by Zalman Usiskin and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Education categories.
For algebra or geometry courses for teachers; courses in topics of mathematics; capstone courses for teachers or other students of mathematics; graduate courses for practicing teachers; or students who want a better understanding of mathematics. Filling a wide gap in the market, this text provides current and prospective high school teachers with an advanced treatment of mathematics that will help them understand the connections between the mathematics they will be teaching and the mathematics learned in college. It presents in-depth coverage of the most important concepts in high school mathematics: real numbers, functions, congruence, similarity, and more.
The Impact Of Identity In K 8 Mathematics Learning And Teaching
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Author : Julia Aguirre
language : en
Publisher:
Release Date : 2013
The Impact Of Identity In K 8 Mathematics Learning And Teaching written by Julia Aguirre and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Educational equalization categories.
Each teacher and student brings many identities to the classroom. What is their impact on the student’s learning and the teacher’s teaching of mathematics? This book invites K–8 teachers to reflect on their own and their students’ multiple identities. Rich possibilities for learning result when teachers draw on these identities to offer high-quality, equity-based teaching to all students. Reflecting on identity and re-envisioning learning and teaching through this lens especially benefits students who have been marginalized by race, class, ethnicity, or gender. The authors encourage teachers to reframe instruction by using five equity-based mathematics teaching practices: Going deep with mathematics; leveraging multiple mathematical competencies; affirming mathematics learners’ identities; challenging spaces of marginality; and drawing on multiple resources of knowledge. Special features of the book: Classroom vignettes, lessons, and assessments showing equity-based practices Tools for teachers’ self-reflection and professional development, including a mathematics learning autobiography and teacher identity activity at nctm.org/more4u Suggestions for partnering with parents and community organisations End-of-chapter discussion questions
Making Sense Of Mathematics Teacher Education
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Author : Fou-Lai Lin
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-28
Making Sense Of Mathematics Teacher Education written by Fou-Lai Lin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-28 with Education categories.
This is a research-based book on mathematics teacher education. It is about the learning of prospective and inservice mathematics teachers, mathematics educators, and researchers. The text is intended for a broad audience including teacher educators, mathematics educators, graduate students in mathematics education, and mathematics teachers at all levels of schooling. In offering an examination of teacher education programs from different societies and cultures, this book provides an international perspective on mathematics teacher education. Practical situations associated with related theories are studied critically throughout the chapters. The possibilities and constraints of making an analogy between mathematics learning theories and mathematics teachers' learning theories are argued and examined. New perspectives on mathematics teacher education are presented along with relevant examples thus enhancing the book's readability for international readers. BACKGROUND OF THE BOOK The book was inspired by the obvious need to address issues in mathematics teacher education. In particular, the following mission statement for the newly established Journal of Mathematics Teacher Education (JMTE) reflects the mission of this book as well. The Journal of Mathematics Teacher Education is devoted to topics and issues involving the education of teachers of mathematics at all stages of their professional development. JMTE will serve as a forum for research on teachers' learning, for considering institutional, societal, and cultural influences that impact the education of mathematics teachers, and for creating models for teachers of mathematics. (Editorial, JMTE, 1(1), p.