Teaching And Learning Secondary School Mathematics
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Teaching and Learning Secondary School Mathematics by Ann Kajander,Jennifer Holm,Egan J Chernoff Pdf
This volume brings together recent research and commentary in secondary school mathematics from a breadth of contemporary Canadian and International researchers and educators. It is both representative of mathematics education generally, as well as unique to the particular geography and culture of Canada. The chapters address topics of broad applicability such as technology in learning mathematics, recent interest in social justice contexts in the learning of mathematics, as well as Indigenous education. The voices of classroom practitioners, the group ultimately responsible for implementing this new vision of mathematics teaching and learning, are not forgotten. Each section includes a chapter written by a classroom teacher, making this volume unique in its approach. We have much to learn from one another, and this volume takes the stance that the development of a united vision, supported by both research and professional dialog, provides the first step.
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.
Learning to Teach Mathematics in the Secondary School by Sue Johnston-Wilder,Peter Johnston-Wilder,David Pimm Pdf
Learning to Teach Mathematics in the Secondary School covers a wide range of issues in the teaching of mathematics and gives supporting activities to students to enable them to translate theory into practice. Topics covered include: mathematics in the National Curriculum different teaching approaches using ICT mathematics education for pupils with special needs in mathematics assessment and public examinations teaching mathematics post-16 professional development.
Teaching Secondary School Mathematics by Merrilyn Goos,Gloria Stillman,Sandra Herbert,Vince Geiger Pdf
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
Learning to Teach Mathematics in the Secondary School by Sue Johnston-Wilder Pdf
This text covers a wide range of issues in the teaching of mathematics and importantly, provides supporting activities to the student to enable them to translate theory into practice.
Cross-Curricular Teaching and Learning in the Secondary School... Mathematics by Robert Ward-Penny Pdf
Why is cross-curricular work so valuable in the mathematics classroom? Why can pupils sometimes draw graphs in mathematics but not in science? What might mathematics teachers learn from the performing arts? Cross-curricular approaches have much to offer the modern mathematics classroom. They can help teachers to present mathematics as a growing, relevant discipline that is central to much of modern life, and help learners to make sense of what they are doing and why. New contexts, new technology and new qualifications all make this an exciting time to be a cross-curricular teacher of mathematics. But cross-curricular approaches are not always straightforward. Skills do not always transfer easily from one subject area to the other, and a number of important decisions have to be made. How should this type of work be planned, or assessed? How might it fit into the wider curriculum? Are all cross-curricular activities equally useful for learners? Does mathematics have something to share with all of the other curriculum areas? This book tackles these issues head on, combining educational theory and contemporary research with practical ideas and suggestions. From the mathematics of molecular geometry, wind turbines and impact craters to mathematical haikus, Babylonian clay tablets and juggling, each chapter is packed with examples for use in the secondary classroom. Key features include: Discussion of key issues and debates Case studies to show you how others have used cross-curricular approaches A wide range of examples and practical activities to help you develop your own practice Example approaches for planning and assessment Part of the Cross-Curricular Teaching and Learning in the Secondary School series, this book is essential reading for all students on Initial Teacher Training courses and practising teachers looking to holistically introduce cross-curricular themes and practices into their mathematics teaching.
Teaching and Learning High School Mathematics by Charlene E. Beckmann,Denisse R. Thompson,Rheta N. Rubenstein Pdf
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 Schools by Linda Haggarty Pdf
A companion to Aspects of Teaching Secondary Mathematics, this book introduces and explores the contemporary issues and key ideas entailed in the teaching and learning of this subject. This book is concerned with exploring the bigger picture of mathematics education, and is aimed particularly at those learning to teach mathematics; teachers in the classroom who want to continue thinking and developing as mathematics teachers; and those concerned with education who would like to be better informed about mathematics education. Divided into seven sections to help structure reading, this book offers a completely up-to-date, comprehensive overview, written by the most-known, well-respected experts in the field.
Strengths-Based Teaching and Learning in Mathematics by Beth McCord Kobett,Karen S. Karp Pdf
"This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful.
The Learning and Teaching of Geometry in Secondary Schools by Pat Herbst,Taro Fujita,Stefan Halverscheid,Michael Weiss Pdf
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.
A practical introduction to Maths teaching designed specifically for beginning teachers in primary and secondary schools. It brings together the latest DfES and TTA guidelines and requirements with authoritative guidance, ensuring that readers feel confident about how to approach their role as a teacher. This book explores key issues in maths teaching today, including: planning and classroom management assessment, recording and reporting information and communication technology investigative mathematics equal opportunities, special needs and differentiation key skills and alternative mathematics qualifications being an effective maths teacher personal and professional development in the early stages of a teaching career.
The Mathematics That Every Secondary School Math Teacher Needs to Know by Alan Sultan,Alice F. Artzt Pdf
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
In this reader, maths teachers in the early years of their careers will find a concise yet comprehensive guide to developments in mathematics teaching in secondary schools and the controversies which currently surround it. After a brief summary of the historical context, a series of short articles provides a range of perspectives on various issues of current debate which will help new teachers in the development of their own teaching styles. These include the impact of computers and calculators in maths teaching, the various arguments about the use of published schemes and for more investigational approaches to the curriculum, and the way in which social and cultural factors can be approached through the teaching of various topics in mathematics. The final section looks at how teachers might continue their professional development through action research in their own classrooms.
Cross-Curricular Teaching and Learning in Secondary Education by Jonathan Savage Pdf
What is the role of the individual school 'subject' and 'subject teacher' within school? Is it to teach a set of core subject knowledge, skills and understanding in way that remains faithful to long-standing subject cultures and pedagogies? Or is there another way to consider how the curriculum, and the notion of individual subjects and teachers' pedagogy, could be constructed. Working from the key principle that there is no curriculum development without teacher development, Cross-Curricular Teaching and Learning in the Secondary School argues for a new, skilful pedagogy which embeds an authentic, cross-curricular approach to teaching and learning in the work of the individual teacher. This approach respects and builds on individual subject cultures, embracing and exploring links between subject knowledge and subject pedagogies in an enriching way. Drawing on examples and case studies taken from innovative practices in different schools and subject areas, as well as summarising lessons from key pieces of research evidence this book includes: Clear theoretical frameworks for cross-curricular processes of teaching and learning A lively account of key issues blended with engaging stories of current practice An analysis of the use of language, ICT and assessment as key components of a skilful pedagogical practice that affects how teaching is delivered and how pupils learn in cross-curricular contexts Practical tasks and questions for reflective practice This timely textbook is essential reading for all students on Initial Teacher Training courses and PGCE courses as well as practising teachers looking to holistically introduce cross-curricular themes and practices in their own subjects.