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Mathematics, Pedagogy, and Secondary Teacher Education

Mathematics, Pedagogy, and Secondary Teacher Education
Author: Thomas J. Cooney
Publisher: Heinemann Educational Books
Total Pages: 0
Release: 1999
Genre: Education
ISBN: 9780325001159

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Each of the chapters shed new light on what it means to integrate content and pedagogy in a teacher-education context.


The Pedagogy of Secondary-School Mathematics

The Pedagogy of Secondary-School Mathematics
Author: Shizao Zhang
Publisher: Springer Nature
Total Pages: 411
Release: 2023-07-31
Genre: Education
ISBN: 9819912482

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This book elucidates the principal aspects and characteristics of secondary school mathematics teaching and learning in China. It combines the cultivation of students' mathematical abilities with the improvement of teaching skills, and explores from both theory and practice to create mathematical pedagogy which has been widely recognized by experts in this field. This book presents a number of mathematics teaching principles and methods, and has been used as an important resource book for mathematics teachers’ education.


Teaching Secondary School Mathematics

Teaching Secondary School Mathematics
Author: Merrilyn Goos
Publisher: Routledge
Total Pages: 468
Release: 2020-07-16
Genre: Education
ISBN: 1000247775

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Since its first publication, Teaching Secondary School Mathematics has established itself as one of the most respected and popular texts for both pre-service and in-service teachers. This new edition has been fully revised and updated to reflect the major changes brought about by the introduction of the Australian Curriculum: Mathematics, as well as discussing significant research findings, the evolution of digital teaching and learning technologies, and the implications of changes in education policies and practices. The mathematical proficiencies that now underpin the Australian curriculum -- understanding, fluency, problem solving and reasoning -- are covered in depth in Part 1, and a new section is devoted to the concept of numeracy. The chapter on digital tools and resources has been significantly expanded to reflect the growing use of these technologies in the classroom, while the importance of assessment is recognised with new material on assessment for learning and as learning, along with a consideration of policy development in this area. Important research findings on common student misconceptions and new and effective approaches for teaching key mathematical skills are covered in detail. As per the first edition readers will find a practical guide to pedagogical approaches and the planning and enactment of lessons together with enhanced chapters on teaching effectively for diversity, managing issues of inequality and developing effective relationships with parents and the community. This book is the essential pedagogical tool for every emerging teacher of secondary school mathematics. 'The text offers an excellent resource for all of those involved in the preparation of secondary mathematics teachers, with links to research literature, exemplars of classroom practices, and instructional activities that encourage readers to actively examine and critique practices within their own educational settings.' Professor Glenda Anthony, Institute of Education, Massey University 'A rich and engaging textbook that covers all of the important aspects of learning to become an effective secondary mathematics teacher. The second edition of this text ... is further enhanced with updated references to the Australian Curriculum, NAPLAN, STEM, current Indigenous, social justice and gender inequity issues, and the place of Australian mathematics curricula on the world stage.' Dr Christine Ormond, Senior Lecturer, Edith Cowan University


Teaching Secondary Mathematics

Teaching Secondary Mathematics
Author: David Rock
Publisher: Taylor & Francis
Total Pages: 665
Release: 2024-02-15
Genre: Education
ISBN: 1003830099

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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.


The Learning and Teaching of Geometry in Secondary Schools

The Learning and Teaching of Geometry in Secondary Schools
Author: Pat Herbst
Publisher: Routledge
Total Pages: 405
Release: 2017-03-16
Genre: Education
ISBN: 1351973525

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IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Geometry in Secondary Schools reviews past and present research on the teaching and learning of geometry in secondary schools and proposes an approach for design research on secondary geometry instruction. Areas covered include: teaching and learning secondary geometry through history; the representations of geometric figures; students’ cognition in geometry; teacher knowledge, practice and, beliefs; teaching strategies, instructional improvement, and classroom interventions; research designs and problems for secondary geometry. Drawing on a team of international authors, this new text will be essential reading for experienced teachers of mathematics, graduate students, curriculum developers, researchers, and all those interested in exploring students’ study of geometry in secondary schools.


Pedagogy and Content in Middle and High School Mathematics

Pedagogy and Content in Middle and High School Mathematics
Author: G. Donald Allen
Publisher: Springer
Total Pages: 277
Release: 2017-11-10
Genre: Education
ISBN: 9463511377

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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

High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice
Author: Robert Q. Berry III
Publisher: Corwin Press
Total Pages: 328
Release: 2020-03-09
Genre: Education
ISBN: 1071806467

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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 and Learning High School Mathematics

Teaching and Learning High School Mathematics
Author: Charlene E. Beckmann
Publisher: John Wiley & Sons
Total Pages: 484
Release: 2009-11-02
Genre: Education
ISBN: 0470454504

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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 at Secondary Level

Teaching Mathematics at Secondary Level
Author: Tony Gardiner
Publisher: Open Book Publishers
Total Pages: 248
Release: 2016-02-08
Genre: Mathematics
ISBN: 1783741406

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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.


The Learning and Teaching of Geometry in Secondary Schools

The Learning and Teaching of Geometry in Secondary Schools
Author: Pat Herbst
Publisher: Taylor & Francis
Total Pages: 240
Release: 2017-03-16
Genre: Education
ISBN: 1351973533

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IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Geometry in Secondary Schools reviews past and present research on the teaching and learning of geometry in secondary schools and proposes an approach for design research on secondary geometry instruction. Areas covered include: teaching and learning secondary geometry through history; the representations of geometric figures; students’ cognition in geometry; teacher knowledge, practice and, beliefs; teaching strategies, instructional improvement, and classroom interventions; research designs and problems for secondary geometry. Drawing on a team of international authors, this new text will be essential reading for experienced teachers of mathematics, graduate students, curriculum developers, researchers, and all those interested in exploring students’ study of geometry in secondary schools.