Secondary Mathematics

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Teaching Secondary Mathematics

David Rock,Douglas K. Brumbaugh,Thomas J. P. Brady
Teaching Secondary Mathematics Book PDF

Author : David Rock,Douglas K. Brumbaugh,Thomas J. P. Brady
Publisher : Taylor & Francis
Page : 580 pages
File Size : 48,6 Mb
Release : 2024-02-15
Category : Education
ISBN : 9781003830047

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Teaching Secondary Mathematics by David Rock,Douglas K. Brumbaugh,Thomas J. P. Brady Pdf

Solidly grounded in up-to-date research, theory, and technology, Teaching Secondary Mathematics is a practical, student-friendly, and popular text for secondary mathematics methods courses. It provides clear and useful approaches for mathematics teachers and shows how concepts typically found in a secondary mathematics curriculum can be taught in a positive and encouraging way. The thoroughly revised fifth edition combines this pragmatic approach with truly innovative and integrated technology content throughout. Synthesized content between the book and a comprehensive Instructor and Student Resource website offers expanded discussion of chapter topics, additional examples, and technological tips, such as using and assessing artificial intelligence. Each chapter features tried-and-tested pedagogical techniques, problem-solving challenges, discussion points, activities, mathematical challenges, and student-life-based applications that will encourage students to think and do. New to the fifth edition: A fully revised chapter on technological advancements in the teaching of mathematics, including the use of artificial intelligence A new chapter on equity, shame, and anxiety in the mathematics classroom Connections to both the updated National Council of Teachers of Mathematics (NCTM) Focal Points and Standards Problem-solving challenges and sticky questions featured in each chapter to encourage students to think through everyday issues and possible solutions A fresh interior design to better highlight pedagogical elements and key features A completely updated Instructor and Student Resource site with chapter-by-chapter video lessons, teacher tools, problem solving Q&As, exercises, and helpful links and resources.

More Good Questions

Marian Small,Amy Lin
More Good Questions Book PDF

Author : Marian Small,Amy Lin
Publisher : Teachers College Press
Page : 225 pages
File Size : 43,6 Mb
Release : 2010-05-15
Category : Education
ISBN : 9780807750889

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More Good Questions by Marian Small,Amy Lin Pdf

We know that Differentiated Instruction (DI) helps all students to learn. Yet DI challenges teachers, and nowhere more than in mathematics. In this new book, written specifically for secondary mathematics teachers, the authors cut through the difficulties with two powerful and universal strategies that teachers can use across all math content: Open Questions and Parallel Tasks. Showing teachers how to get started and become expert with these strategies, this book also demonstrates how to use more inclusive learning conversations to promote broader student participation. Strategies and examples are organized around Big Ideas within the National Council of Teachers of Mathematics (NCTM) content strands. With particular emphasis on Algebra, chapters also address Number and Operations, Geometry, Measurement, and Data Analysis and Probability, with examples included for Pre-Calculus. To help teachers differentiate math instruction with less difficulty and greater success, this resource: Underscores the rationale for differentiating secondary math instruction. Provides specific examples for secondary math content. Describes two easy-to-implement strategies designed to overcome the most common DI problems that teachers encounter. Offers almost 300 questions and tasks that teachers and coaches can adopt immediately, adapt, or use as models to create their own, along with scaffolding and consolidating questions. Includes Teaching Tips sidebars and an organizing template at the end of each chapter to help teachers build new tasks and open questions. Shows how to create a more inclusive classroom learning community with mathematical talk that engages participants from all levels. PROFESSIONAL DEVELOPMENT: Visit Marian Small’s website onetwoinfinity.ca for in-person and online professional development.

Understanding Analysis and its Connections to Secondary Mathematics Teaching

Nicholas H. Wasserman,Timothy Fukawa-Connelly,Keith Weber,Juan Pablo Mejía Ramos,Stephen Abbott
Understanding Analysis and its Connections to Secondary Mathematics Teaching Book PDF

Author : Nicholas H. Wasserman,Timothy Fukawa-Connelly,Keith Weber,Juan Pablo Mejía Ramos,Stephen Abbott
Publisher : Springer Nature
Page : 226 pages
File Size : 54,6 Mb
Release : 2022-01-03
Category : Education
ISBN : 9783030891985

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Understanding Analysis and its Connections to Secondary Mathematics Teaching by Nicholas H. Wasserman,Timothy Fukawa-Connelly,Keith Weber,Juan Pablo Mejía Ramos,Stephen Abbott Pdf

Getting certified to teach high school mathematics typically requires completing a course in real analysis. Yet most teachers point out real analysis content bears little resemblance to secondary mathematics and report it does not influence their teaching in any significant way. This textbook is our attempt to change the narrative. It is our belief that analysis can be a meaningful part of a teacher's mathematical education and preparation for teaching. This book is a companion text. It is intended to be a supplemental resource, used in conjunction with a more traditional real analysis book. The textbook is based on our efforts to identify ways that studying real analysis can provide future teachers with genuine opportunities to think about teaching secondary mathematics. It focuses on how mathematical ideas are connected to the practice of teaching secondary mathematics–and not just the content of secondary mathematics itself. Discussions around pedagogy are premised on the belief that the way mathematicians do mathematics can be useful for how we think about teaching mathematics. The book uses particular situations in teaching to make explicit ways that the content of real analysis might be important for teaching secondary mathematics, and how mathematical practices prevalent in the study of real analysis can be incorporated as practices for teaching. This textbook will be of particular interest to mathematics instructors–and mathematics teacher educators–thinking about how the mathematics of real analysis might be applicable to secondary teaching, as well as to any prospective (or current) teacher who has wondered about what the purpose of taking such courses could be.

Teaching Mathematics at Secondary Level

Tony Gardiner
Teaching Mathematics at Secondary Level Book PDF

Author : Tony Gardiner
Publisher : Open Book Publishers
Page : 334 pages
File Size : 40,5 Mb
Release : 2016-02-08
Category : Mathematics
ISBN : 9781783741403

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Teaching Mathematics at Secondary Level by Tony Gardiner Pdf

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.

Secondary Mathematics for Mathematicians and Educators

Michael Weiss
Secondary Mathematics for Mathematicians and Educators Book PDF

Author : Michael Weiss
Publisher : Routledge
Page : 0 pages
File Size : 53,8 Mb
Release : 2021
Category : Education
ISBN : 1315100967

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Secondary Mathematics for Mathematicians and Educators by Michael Weiss Pdf

In this engaging text, Michael Weiss offers an advanced view of the secondary mathematics curriculum through the prism of theory, analysis, and history, aiming to take an intellectually and mathematically mature perspective on the content normally taught in high school mathematics courses. Rather than a secondary mathematics textbook, Weiss presents here a textbook about the secondary mathematics curriculum, written for mathematics educators and mathematicians and presenting a long-overdue modern-day integration of the disparate topics and methods of secondary mathematics into a coherent mathematical theory. Areas covered include: Polynomials and polynomial functions; Geometry, graphs, and symmetry; Abstract algebra, linear algebra, and solving equations; Exponential and logarithmic functions; Complex numbers; The historical development of the secondary mathematics curriculum. Written using precise definitions and proofs throughout on a foundation of advanced content knowledge, Weiss offers a compelling and timely investigation into the secondary mathematics curriculum, relevant for preservice secondary teachers as well as graduate students and scholars in both mathematics and mathematics education.

Teaching Secondary Mathematics as if the Planet Matters

Alf Coles,Richard Barwell,Tony Cotton,Jan Winter,Laurinda Brown
Teaching Secondary Mathematics as if the Planet Matters Book PDF

Author : Alf Coles,Richard Barwell,Tony Cotton,Jan Winter,Laurinda Brown
Publisher : Routledge
Page : 190 pages
File Size : 43,9 Mb
Release : 2013-07-18
Category : Education
ISBN : 9781136597862

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Teaching Secondary Mathematics as if the Planet Matters by Alf Coles,Richard Barwell,Tony Cotton,Jan Winter,Laurinda Brown Pdf

‘This book moves us beyond a theoretical pondering of the issues and makes concrete suggestions for teachers and students for how things can be different in mathematics classrooms. This is long overdue.’ Peter Gates, University of Nottingham Teaching Mathematics as if the Planet Matters explores how Mathematics teachers can develop approaches to curriculum and learning which help students understand the nature of the contemporary world. It sets out a model for teaching and learning that allows teachers to examine existing approaches to teaching and draw upon the insights of mathematics as a discipline to help students relate classroom mathematics to global issues such as climate change, the economy, food supplies, biodiversity, human rights, and social justice. Including practical examples, suggestions for teaching activities and detailed further reading sections, the book covers: the mathematics of description in the measuring, recording and statistical analysis that informs our knowledge of climate change, consumption and sustainability; the mathematics of prediction in the modelling used by governments, scientists and businesses to plan roads, power stations and food supplies and their effects; the mathematics of communication in the news reports, blogs and environmental campaigns, incomplete without graphs, charts and statistics. The true worth of a school subject is revealed in how far it can account for and respond to the major issues of the time. The issue of the environment cuts across subject boundaries and requires an interdisciplinary response. Mathematics teachers are part of that response and they have a crucial role in helping students to respond to environmental issues and representations.

Teaching Secondary Mathematics

Gregory Hine,Robyn Reaburn,Judy Anderson,Linda Galligan,Colin Carmichael,Michael Cavanagh,Bing Ngu,Bruce White
Teaching Secondary Mathematics Book PDF

Author : Gregory Hine,Robyn Reaburn,Judy Anderson,Linda Galligan,Colin Carmichael,Michael Cavanagh,Bing Ngu,Bruce White
Publisher : Cambridge University Press
Page : 465 pages
File Size : 44,5 Mb
Release : 2016-08-15
Category : Education
ISBN : 9781107578678

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Teaching Secondary Mathematics by Gregory Hine,Robyn Reaburn,Judy Anderson,Linda Galligan,Colin Carmichael,Michael Cavanagh,Bing Ngu,Bruce White Pdf

A valuable resource for pre-service teachers who wish to integrate contemporary technology into teaching key mathematical concepts.

Strength in Numbers

Ilana Seidel Horn
Strength in Numbers Book PDF

Author : Ilana Seidel Horn
Publisher : Unknown
Page : 100 pages
File Size : 48,9 Mb
Release : 2012
Category : Classroom management
ISBN : 0873536630

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Strength in Numbers by Ilana Seidel Horn Pdf

Written by a seasoned teacher, researcher and teacher educator with over two decades of teaching experience, the goal of this book is to support teachers in developing tools for effective group work in their secondary mathematics classrooms. Effective group work engages children’s own thinking and allows them to work together to understand a concept. It can also address problems that often arise in typical mathematics instruction by providing a framework for teachers to create engaging learning environments. The book outlines ways to choose tasks, help students adjust to new ways of approaching schoolwork, and discusses the types of status problems that can impede the most earnest attempts at collaborative learning. This practical, useful book introduces tested tools and concepts for creating equitable collaborative learning environments that supports all students and develops confidence in their mathematical ability.

Concept-Based Mathematics

Jennifer T.H. Wathall
Concept Based Mathematics Book PDF

Author : Jennifer T.H. Wathall
Publisher : Corwin Press
Page : 307 pages
File Size : 48,5 Mb
Release : 2016-01-14
Category : Education
ISBN : 9781506332659

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Concept-Based Mathematics by Jennifer T.H. Wathall Pdf

Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you show students math’s essential elegance, as well as its practicality—and help them discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way —through a conceptual lens—helping students achieve higher-order thinking skills. Jennifer Wathall shows you how to plan units, engage students, assess understanding, incorporate technology, and even guides you through an ideal concept-based classroom. Practical tools include: Examples from arithmetic to calculus Inquiry tasks, unit planners, templates, and activities Sample assessments with examples of student work Vignettes from international educators A dedicated companion website with additional resources, including a study guide, templates, exemplars, discussion questions, and other professional development activities. Everyone has the power to understand math. By extending Erickson and Lanning’s work on Concept-Based Curriculum and Instruction specifically to math, this book helps students achieve the deep understanding and skills called for by global standards and be prepared for the 21st century workplace. "Jennifer Wathall’s book is one of the most forward thinking mathematics resources on the market. While highlighting the essential tenets of Concept-Based Curriculum design, her accessible explanations and clear examples show how to move students to deeper conceptual understandings. This book ignites the mathematical mind!" — Lois A. Lanning, Author of Designing Concept-based Curriculum for English-Language Arts, K-12 "Wathall is a master at covering all the bases here; this book is bursting with engaging assessment examples, discussion questions, research, and resources that apply specifically to mathematical topics. Any math teacher or coach would be hard-pressed to read it and not come away with scores of ideas, assessments, and lessons that she could use instantly in the classroom. As an IB Workshop Leader and instructional coach, I want this book handy on a nearby shelf for regular referral – it′s a boon to any educator who wants to bring math to life for students." — Alexis Wiggins, Instructional Coach, IB Workshop Leader and Consultant

Necessary Conditions

Geoff Krall
Necessary Conditions Book PDF

Author : Geoff Krall
Publisher : Taylor & Francis
Page : 362 pages
File Size : 44,6 Mb
Release : 2023-10-10
Category : Education
ISBN : 9781003839835

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Necessary Conditions by Geoff Krall Pdf

During his years working as an instructional coach for a national network of schools, Geoff Krall had the chance to witness several inspirational moments when math class comes alive for middle or high school students - when it is challenging but also fun, creative, and interactive. In Necessary Conditions: Teaching Secondary Math with Academic Safety, Quality Tasks, and Effective Facilitation, Krall documents the essential ingredients that produce these sorts of moments on a regular basis and for all students. They are Academic Safety, Quality Tasks, and Effective Facilitation. Academic Safety: Krall implements equitable classroom experiences that help fight stigmas associated with race and gender in schools. This allows students to feel socially and emotionally secure while nurturing their identities as mathematicians and increasing engagement during classroom discussions Quality Tasks: Teachers can adapt or create dynamic, student-centered lessons that break down math into small, manageable sections, removing the frustrations felt by students who aren't considered math people Effective Facilitation: This book shows how to incorporate teaching moves and math routines designed for engagement, persistence, and interactivity. Teachers can allow students to explore safely while maintaining consistent classroom expectations. "My work as a math instructional coach for a network of schools has afforded me the unique opportunity to visit exceptional teachers across the country, documenting their tasks, teaching moves, and academically safe learning environments. You'll experience dispatches from these effective classrooms in which we'll observe how teachers attend to all three elements that make up the ecosystem." - Geoff Krall from his book, Necessary Conditions.

Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers

Nicholas H. Wasserman
Connecting Abstract Algebra to Secondary Mathematics for Secondary Mathematics Teachers Book PDF

Author : Nicholas H. Wasserman
Publisher : Springer
Page : 461 pages
File Size : 43,8 Mb
Release : 2018-12-12
Category : Education
ISBN : 9783319992143

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Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers by Nicholas H. Wasserman Pdf

Secondary mathematics teachers are frequently required to take a large number of mathematics courses – including advanced mathematics courses such as abstract algebra – as part of their initial teacher preparation program and/or their continuing professional development. The content areas of advanced and secondary mathematics are closely connected. Yet, despite this connection many secondary teachers insist that such advanced mathematics is unrelated to their future professional work in the classroom. This edited volume elaborates on some of the connections between abstract algebra and secondary mathematics, including why and in what ways they may be important for secondary teachers. Notably, the volume disseminates research findings about how secondary teachers engage with, and make sense of, abstract algebra ideas, both in general and in relation to their own teaching, as well as offers itself as a place to share practical ideas and resources for secondary mathematics teacher preparation and professional development. Contributors to the book are scholars who have both experience in the mathematical preparation of secondary teachers, especially in relation to abstract algebra, as well as those who have engaged in related educational research. The volume addresses some of the persistent issues in secondary mathematics teacher education in connection to advanced mathematics courses, as well as situates and conceptualizes different ways in which abstract algebra might be influential for teachers of algebra. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers is a productive resource for mathematics teacher educators who teach capstone courses or content-focused methods courses, as well as for abstract algebra instructors interested in making connections to secondary mathematics.

Uses of Technology in Primary and Secondary Mathematics Education

Lynda Ball,Paul Drijvers,Silke Ladel,Hans-Stefan Siller,Michal Tabach,Colleen Vale
Uses of Technology in Primary and Secondary Mathematics Education Book PDF

Author : Lynda Ball,Paul Drijvers,Silke Ladel,Hans-Stefan Siller,Michal Tabach,Colleen Vale
Publisher : Springer
Page : 440 pages
File Size : 42,9 Mb
Release : 2018-05-14
Category : Education
ISBN : 9783319765754

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Uses of Technology in Primary and Secondary Mathematics Education by Lynda Ball,Paul Drijvers,Silke Ladel,Hans-Stefan Siller,Michal Tabach,Colleen Vale Pdf

This book provides international perspectives on the use of digital technologies in primary, lower secondary and upper secondary school mathematics. It gathers contributions by the members of three topic study groups from the 13th International Congress on Mathematical Education and covers a range of themes that will appeal to researchers and practitioners alike. The chapters include studies on technologies such as virtual manipulatives, apps, custom-built assessment tools, dynamic geometry, computer algebra systems and communication tools. Chiefly focusing on teaching and learning mathematics, the book also includes two chapters that address the evidence for technologies’ effects on school mathematics. The diverse technologies considered provide a broad overview of the potential that digital solutions hold in connection with teaching and learning. The chapters provide both a snapshot of the status quo of technologies in school mathematics, and outline how they might impact school mathematics ten to twenty years from now.

Uses of Technology in Lower Secondary Mathematics Education

Paul Drijvers,Lynda Ball,Bärbel Barzel,M. Kathleen Heid,Yiming Cao,Michela Maschietto
Uses of Technology in Lower Secondary Mathematics Education Book PDF

Author : Paul Drijvers,Lynda Ball,Bärbel Barzel,M. Kathleen Heid,Yiming Cao,Michela Maschietto
Publisher : Springer
Page : 34 pages
File Size : 40,9 Mb
Release : 2016-06-14
Category : Education
ISBN : 9783319336664

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Uses of Technology in Lower Secondary Mathematics Education by Paul Drijvers,Lynda Ball,Bärbel Barzel,M. Kathleen Heid,Yiming Cao,Michela Maschietto Pdf

This topical survey provides an overview of the current state of the art in technology use in mathematics education, including both practice-oriented experiences and research-based evidence, as seen from an international perspective. Three core themes are discussed: Evidence of effectiveness; Digital assessment; and Communication and collaboration. The survey’s final section offers suggestions for future trends in technology-rich mathematics education and provides a research agenda reflecting those trends. Predicting what lower secondary mathematics education might look like in 2025 with respect to the role of digital tools in curricula, teaching and learning, it examines the question of how teachers can integrate physical and virtual experiences to promote a deeper understanding of mathematics. The issues and findings presented here provide an overview of current research and offer a glimpse into a potential future characterized by the effective integration of technology to support mathematics teaching and learning at the lower secondary level.

Uses of Technology in Upper Secondary Mathematics Education

Stephen Hegedus,Colette Laborde,Corey Brady,Sara Dalton,Hans-Stefan Siller,Michal Tabach,Jana Trgalova,Luis Moreno-Armella
Uses of Technology in Upper Secondary Mathematics Education Book PDF

Author : Stephen Hegedus,Colette Laborde,Corey Brady,Sara Dalton,Hans-Stefan Siller,Michal Tabach,Jana Trgalova,Luis Moreno-Armella
Publisher : Springer
Page : 36 pages
File Size : 47,6 Mb
Release : 2016-11-02
Category : Education
ISBN : 9783319426112

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Uses of Technology in Upper Secondary Mathematics Education by Stephen Hegedus,Colette Laborde,Corey Brady,Sara Dalton,Hans-Stefan Siller,Michal Tabach,Jana Trgalova,Luis Moreno-Armella Pdf

This survey addresses the use of technology in upper secondary mathematics education from four points of view: theoretical analysis of epistemological and cognitive aspects of activity in new technology mediated learning environments, the changes brought by technology in the interactions between environment, students and teachers, the interrelations between mathematical activities and technology, skills and competencies that must be developed in teacher education. Research shows that the use of some technologies may deeply change the solving processes and contribute to impact the learning processes. The questions are which technologies to choose for which purposes, and how to integrate them, so as to maximize all students’ agency. In particular the role of the teacher in classrooms and the content of teacher education programs are critical for taking full advantage of technology in teaching practice.

Educating Prospective Secondary Mathematics Teachers

Marilyn E. Strutchens,Rongjin Huang,Despina Potari,Leticia Losano
Educating Prospective Secondary Mathematics Teachers Book PDF

Author : Marilyn E. Strutchens,Rongjin Huang,Despina Potari,Leticia Losano
Publisher : Springer
Page : 328 pages
File Size : 49,7 Mb
Release : 2018-06-01
Category : Education
ISBN : 9783319910598

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Educating Prospective Secondary Mathematics Teachers by Marilyn E. Strutchens,Rongjin Huang,Despina Potari,Leticia Losano Pdf

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.