The Mathematics That Every Secondary School Math Teacher Needs To Know
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The Mathematics That Every Secondary School Math Teacher Needs To Know
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Author : Alan Sultan
language : en
Publisher: Routledge
Release Date : 2017-07-20
The Mathematics That Every Secondary School Math Teacher Needs To Know written by Alan Sultan and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-20 with Education categories.
Designed to help pre-service and in-service teachers gain the knowledge they need to facilitate students' understanding, competency, and interest in mathematics, the revised and updated Second Edition of this popular text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Highlighting multiple types of mathematical understanding to deepen insight into the secondary school mathematics curriculum, it addresses typical areas of difficulty and common student misconceptions so teachers can involve their students in learning mathematics in a way that is interesting, interconnected, understandable, and often surprising and entertaining. Six content strands are discussed—Numbers and Operations; Algebra; Geometry; Measurement; Data Analysis and Probability; and Proof, Functions, and Mathematical Modeling. The informal, clear style supports an interactive learner-centered approach through engaging pedagogical features: Launch Questions at the beginning of each section capture interest and involve readers in learning the mathematical concepts. Practice Problems provide opportunities to apply what has been learned and complete proofs. Questions from the Classroom bring the content to life by addressing the deep "why" conceptual questions that middle or secondary school students are curious about, and questions that require analysis and correction of typical student errors and misconceptions; focus on counter intuitive results; and contain activities and/or tasks suitable for use with students. Changes in the Second Edition New sections on Robotics, Calculators, Matrix Operations, Cryptography, and the Coefficient of Determination New problems, simpler proofs, and more illustrative examples Answers and hints for selected problems provided
The Mathematics That Every Secondary Math Teacher Needs To Know
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Author : Alan Sultan
language : en
Publisher: Routledge
Release Date : 2010-09-13
The Mathematics That Every Secondary Math Teacher Needs To Know written by Alan Sultan and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-13 with Education categories.
What knowledge of mathematics do secondary school math teachers need to facilitate understanding, competency, and interest in mathematics for all of their students? This unique text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Written in an informal, clear, and interactive learner-centered style, it is designed to help pre-service and in-service teachers gain the deep mathematical insight they need to engage their students in learning mathematics in a multifaceted way that is interesting, developmental, connected, deep, understandable, and often, surprising and entertaining. Features include Launch questions at the beginning of each section, Student Learning Opportunities, Questions from the Classroom, and highlighted themes throughout to aid readers in becoming teachers who have great "MATH-N-SIGHT": M Multiple Approaches/Representations A Applications to Real Life T Technology H History N Nature of Mathematics: Reasoning and Proof S Solving Problems I Interlinking Concepts: Connections G Grade Levels H Honing of Mathematical Skills T Typical Errors This text is aligned with the recently released Common Core State Standards, and is ideally suited for a capstone mathematics course in a secondary mathematics certification program. It is also appropriate for any methods or mathematics course for pre- or in-service secondary mathematics teachers, and is a valuable resource for classroom teachers.
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.
Becoming A Reflective Mathematics Teacher
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Author : Alice F. Artzt
language : en
Publisher: Taylor & Francis
Release Date : 2025-08-01
Becoming A Reflective Mathematics Teacher written by Alice F. Artzt and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-01 with Education categories.
This research-based, activity-oriented guide offers a highly effective framework for teacher reflection and self-assessment. Highlighting inquiry-based, learner-centered teaching and grounded in a cognitive perspective, this fourth edition features: Updated observation instruments for preservice or beginning teachers to use when observing other teachers. Additional guidelines, instruments, and rubrics for supervisors to use when observing, conferencing with, and assessing beginning or student teachers. Added focus on teaching for understanding via engagement and critical thinking. Chapter-specific updates include updated research literature, refinements to Tables 2.1 and 3.1 for depth and clarity, and updated examples of student work. Thoroughly revised throughout, the fourth edition continues to provide preservice mathematics teachers with practical ideas for developing and honing reflective and self-analytical skills needed to advance and improve their instructional practice.
Learning And Teaching Early Math
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Author : Douglas H. Clements
language : en
Publisher: Taylor & Francis
Release Date : 2020-12-29
Learning And Teaching Early Math written by Douglas H. Clements and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-29 with Education categories.
The third edition of this significant and groundbreaking book summarizes current research into how young children learn mathematics and how best to develop foundational knowledge to realize more effective teaching. Using straightforward, practical language, early math experts Douglas Clements and Julie Sarama show how learning trajectories help teachers understand children’s level of mathematical understanding and lead to better teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous: helping teachers understand the varying levels of knowledge exhibited by individual students, it allows them to better meet the learning needs of all children. This thoroughly revised and contemporary third edition of Learning and Teaching Early Math remains the definitive, research-based resource to help teachers understand the learning trajectories of early mathematics and become confident, credible professionals. The new edition draws on numerous new research studies, offers expanded international examples, and includes updated illustrations throughout. This new edition is closely linked with Learning and Teaching with Learning Trajectories–[LT]2–an open-access, web-based tool for early childhood educators to learn about how children think and learn about mathematics. Head to LearningTrajectories.org for ongoing updates, interactive games, and practical tools that support classroom learning.
Knowing And Teaching Elementary Mathematics
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Author : Liping Ma
language : en
Publisher: Routledge
Release Date : 2020-01-06
Knowing And Teaching Elementary Mathematics written by Liping Ma and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-06 with Education categories.
The 20th anniversary edition of this groundbreaking and bestselling volume offers powerful examples of the mathematics that can develop the thinking of elementary school children. Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. Along with the original studies of U.S. and Chinese teachers’ mathematical understanding, this 20th anniversary edition includes a new preface and a 2013 journal article by Ma, "A Critique of the Structure of U.S. Elementary School Mathematics" that describe differences in U.S. and Chinese elementary mathematics. These are augmented by a new series editor’s introduction and two key journal articles that frame and contextualize this seminal work.
Teaching Mathematics Through Problem Solving
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Author : Akihiko Takahashi
language : en
Publisher: Routledge
Release Date : 2021-03-31
Teaching Mathematics Through Problem Solving written by Akihiko Takahashi and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-31 with Education categories.
This engaging book offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), renowned mathematics education scholar Akihiko Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan. TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Takahashi showcases TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country. Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators.
The Mathematics Practitioner S Guidebook For Collaborative Lesson Research
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Author : Akihiko Takahashi
language : en
Publisher: Taylor & Francis
Release Date : 2023-10-04
The Mathematics Practitioner S Guidebook For Collaborative Lesson Research written by Akihiko Takahashi and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-04 with Education categories.
This resource provides mathematics educators with tools for conducting Collaborative Lesson Research (CLR), a form of Lesson Study developed out of the original Japanese Lesson Study and intended to improve student and teacher learning. Renowned mathematics education researchers Akihiko Takahashi and Geoffrey Wake bring together educators across the US and UK with first-hand experience using CLR in their schools. Readers will learn the essentials for an impactful Lesson Study directly from the scholars who coined the term, and benefit from the dual perspectives of math education researchers and teachers who have used CLR when reflecting on their own classroom pedagogy. These contributors define CLR and provide examples of successful CLR using real-life case studies, as well as introducing pathways for getting started and practical suggestions for implementation into different school environments. Across these examples, readers will: understand the essence of Lesson Study, considered as CLR, and its important features be advised what participants in CLR should expect to do (observing research lessons, designing lessons, teaching research lessons, facilitating post-lesson discussion, etc.) and provide guidance and support with this enactment be advised on how to develop, embed, and sustain CLR communities preview potential outcomes over time from undertaking CLR Research lesson proposals and plans to support readers in understanding CLR are also included. Ideal for practicing teachers, teacher leaders, teacher educators, and professional developers involved in mathematics teaching, this book offers first-of-its-kind entry points for CLR. Its combination of theory and practice will empower educators to implement this increasingly popular vehicle for understanding students’ learning of mathematics.
A Focus On Fractions
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Author : Marjorie M. Petit
language : en
Publisher: Taylor & Francis
Release Date : 2022-07-29
A Focus On Fractions written by Marjorie M. Petit and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-29 with Education categories.
The third edition of this book offers a unique approach to making mathematics education research on the teaching and learning of fraction concepts readily accessible and understandable to pre-service and in-service K-8 mathematics teachers. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of classroom teachers’ experience, this book provides teachers a research-based lens to interpret evidence of student thinking, inform instruction and ultimately improve student learning. Based on research gathered in the Ongoing Assessment Project (OGAP), and updated throughout, this engaging and easy-to-use resource also features: Two new chapters dedicated to understanding the OGAP Fraction Framework and Progression—based on research conducted with hundreds of teachers—to gather and interpret evidence of student learning along a learning progression, referenced throughout the book so readers can apply the concepts to their instruction; A close focus on student work, including 180+ annotated pieces of student work, to help teachers improve their ability to recognize, assess, and monitor their students’ errors and misconceptions, as well as their developing conceptual understanding; A discussion of decimal fractions, also new to the third edition; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter Looking Back questions to allow teachers to analyze student thinking and consider instructional strategies for their own students; Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs; Accompanying online Support Material includes an answer key to Looking Back questions, as well as a copy of the OGAP Fraction Framework and Progression. A Focus on Fractions is part of the popular A Focus on . . . collection, designed to aid the professional development of pre-service and in-service mathematics teachers. As with the other volumes on addition and subtraction, ratios and proportions, and multiplication and division, this updated new edition bridges the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.
The Amte Handbook Of Mathematics Teacher Education
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Author : Babette M. Benken
language : en
Publisher: IAP
Release Date : 2024-02-01
The Amte Handbook Of Mathematics Teacher Education written by Babette M. Benken and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-01 with Mathematics categories.
This new volume of The Association of Mathematics Teacher Educators (AMTE) Professional Book Series is a critical and timely resource that paves the way and guides the future of mathematics teacher education. The collection of work in this AMTE Handbook of Mathematics Teacher Education reflects on research and what we know about how best to prepare and support both mathematics teachers and mathematics teacher educators and presents what is happening in the field. Examples included in the 22 chapters highlight how we are preparing teachers across multiple contexts (e.g., within district, in content courses for the major) and grade ranges (K-20+) and all chapters highlight relevant connections to the AMTE Standards for Preparing Teachers of Mathematics. Most importantly, this volume explores what we do not yet fully understand and where we are going. In essence, it considers how we can move the field forward. The 95 contributing authors range from graduate students to those who have served as leaders in the field in multiple ways for many years. Authors include K-12 teachers, school administrators, district leaders, graduate students, higher education faculty, and professional development facilitators.