Teaching Secondary School Mathematics

Research and practice for the 21st century

Teaching Secondary School Mathematics

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 Mathematics in Secondary Schools

A Reader

Teaching Mathematics in Secondary Schools

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.

Teaching Secondary and Middle School Mathematics

Teaching Secondary and Middle School Mathematics

"Teaching Secondary and Middle School Mathematics" combines up-to-date technology and research with a vibrant writing style to help teachers grasp curriculum, teaching, and assessment issues as they relate to secondary and middle school mathematics. Designed for pre-service or in-service teachers, the second edition presents concise, current, and meaningful descriptions of what it takes to be an effective teacher of mathematics. This extensively revised, practical resource offers a balance of theory and practice, including a wealth of examples and descriptions of classroom situations to assist students in visualizing mathematics instruction in the classroom. Each chapter contains specific outcomes for the reader, a glossary of relevant terms, several discussion questions and an extensive bibliography that contains references and suggested readings. Appendices include a descriptive list of recommended Internet Web sites on mathematics education and two case studies for further discussion. New To This Edition! A new chapter (Chapter 7) examines four major content areas of the secondary and middle school curriculum--algebra, geometry, data analysis and probability, and discrete mathematics--and the teaching methodology and NCTM Standards specific to each area. A new chapter (Chapter 10) devoted to the topic of equity discusses special needs students, gender equity, and ethnic/cultural differences. "How Would You React?" scenarios have been added in each chapter which allow students (and professors) to explore various teaching and learning issues and ideas for making decisions in a debate setting. "Spotlight on Technology" and examples highlighting major chapter concepts involving the use of technology have been interspersed throughout and encourage students to think about the appropriate use of technology in teaching mathematics. Daniel Brahier is Associate Professor of Mathematics Education at Bowling Green State University in Ohio and a current eighth grade teacher. He is also the author of "Assessment in Middle and High School Mathematics: A Teacher's Guide" (Eye On Education, 2001). With experience as a teacher, administrator, guidance counselor, and curriculum coordinator, his teaching and writing draws from every angle.

Problems of Teaching Secondary School Mathematics

Problems of Teaching Secondary School Mathematics

This book Complex Integration is written for the students of mathematics Statistics, Engineering and Physics of degree and post-graduate level. The whole subject matter has been dealt in a simple and lucid manner to make the subject attractive to the reader questions have been selected from examination papers of various universities I.A.S and P.C.S. Contents: Complex Integration, The Zeros of an Analytic Function, Uniform Convergence of Series, Calculus of Residues.

Teaching Secondary School Mathematics

Techniques and Enrichment Units

Teaching Secondary School Mathematics

This practical book leads the way in secondary mathematics instruction with unique enrichment units, technology updates, and a highly readable style. It provides step-by step techniques on preparing lessons and tests, motivating students, designing assignments, and organizing the classroom. Also included are " hands-on" activities enrichment units, teaching strategies, and pre- and post-tests that are cross-referenced to methods presented earlier in the text. Explores the use of technology, with special emphasis on the application and uses of the Geometer's Sketchpad software program. Also updates the graphics calculator's application in the classroom and includes extensive references to the World Wide Web. Provides a more detailed discussion of problem-solving strategies, in a particularly strong chapter on problem solving, which reflects the mandate that problem solving, be one of the prime concerns for mathematics instruction today.

Mathematics for Secondary School Teachers

Mathematics for Secondary School Teachers

Mathematics for Secondary School Teachers discusses topics of central importance in the secondary school mathematics curriculum, including functions, polynomials, trigonometry, exponential and logarithmic functions, number and operation, and measurement.Acknowledging diversity in the mathematical backgrounds of pre-service teachers and in the goals of teacher preparation programs, the authors have written a flexible text, through which instructors can emphasize any of the following: Basics: exploration of key pre-college topics from intuitive and rigorous points of view; Connections: exploration of relationships among topics, using tools from college-level mathematics; Extensions: exploration of college-level mathematical topics that have a compelling relationship to pre-college mathematics.Mathematics for Secondary School Teachers provides a balance of discovery learning and direct instruction. Activities and exercises address the range of learning objectives appropriate for future teachers. Beyond the obvious goals of conceptual understanding and computational fluency, readers are invited to devise mathematical explanations and arguments, create examples and visual representations, remediate typical student errors and misconceptions, and analyze student work. Introductory discussion questions encourage prospective teachers to take stock of their knowledge of pre-college topics. A rich collection of exercises of widely varying degrees of difficulty is integrated with the text. Activities and exercises are easily adapted to the settings of individual assignments, group projects, and classroom discussions.Mathematics for Secondary School Teachers is primarily intended as the text for a bridge or capstone course for pre-service secondary school mathematics teachers. It can also be used in alternative licensure programs, as a supplement to a mathematics methods course, as the text for a graduate course for in-service teachers, and as a resource and reference for in-service faculty development.

Teaching Secondary School Mathematics and Statistics

Evidence-Based Practice

Teaching Secondary School Mathematics and Statistics

""Mathematics is more than skills ... it is also the excitement of discovery."" This is how Derek Holton, one of the contributing authors to this book, defines mathematics. His enthusiasm and energy are echoed throughout by many of the other writers. This is a book to delight mathematics teachers at all stages: experienced and inexperienced; specialists and nonspecialists. The authors bring research and practice together to inform, stimulate and challenge the mathematical thinking of classroom teachers and to encourage them, and give them confidence, to extend their teaching practice. Topics covered in this first volume of Teaching Secondary School Mathematics and Statistics include: problem solving; investigative mathematics; how students learn maths; pedagogical content knowledge; students' misconceptions and strategies for solving algebraic equations; algebra word problems; digital technologies and learning; the language of mathematics and gifted and talented students. The book is structured to give opportunities for thinking beyond the text through the inclusion of focus questions and points to ponder in each chapter. There are also many practical ideas which are ready for use in the classroom. It is a valuable resource for those working in preservice, a marvellous toolkit for new graduates, and has a place in every mathematics department's bookshelf.

Teaching Secondary Mathematics

Techniques and Enrichment Units

Teaching Secondary Mathematics

Intended for future teachers of mathematics (especially in the secondary schools), this guide covers teaching methods and provides enrichment materials. The methodological portion covers the challenge of teaching, long-range and short-range planning and making lessons more effective.