The Mathematics That Every Secondary Math Teacher Needs To Know

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.

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

Every year new secondary mathematics teachers take up positions in middle and high schools. The luckiest novices receive assistance from a coach or mentor: a master mathematics teacher who makes constructive comments, models effective approaches, and illuminates other practical aspects of teaching secondary math. But many new teachers don't have this advantage and must further their development on their own. If you are one of these teachers, this is the book you need. In these pages, veteran mathematics educators Alfred S. Posamentier, Daniel Jaye, and Stephen Krulik present a treasure chest of ideas to guide new secondary math teachers through the challenging first few months and also provide more experienced teachers with interesting alternatives to familiar methods. The topics covered include * The most effective instructional practices * The best uses of the textbook * Designing successful lessons * Creating homework that promotes learning * Incorporating challenge * Teaching reasoning and problem solving * Strategies for assessment and grading * Specific innovative ideas for teaching key concepts * Options for extracurricular activities * Long-term professional enrichment and growth. It's during the first few years of a teacher's experience that he or she develops the habits, methods, procedures, and techniques that tend to define a career. Exemplary Practices for Secondary Math Teachers provides both a foundation for excellence and a touchstone for years to come. Note: This product listing is for the Adobe Acrobat (PDF) version of the book.

Personal story telling is a powerful and interesting medium through which one can share experiences, insights, successes, and difficulties in meaningful contexts. Teaching in general, and mathematics teaching in particular, is much more than what meets the eye. Most people have only experienced teaching from the vantage point of a student and have impressions of teachers and teaching that are simplistic and usually totally incorrect. The lives of mathematics teachers are varied and contrary to what one might think they are. The journeys of exemplary in-service teachers are not linear; there are many bends, potholes, and detours through which they have navigated. The "road conditions" of teaching are fodder for the 12 untold stories collected in this volume, whose authors graduated from a special four-year undergraduate mathematics teacher preparation program, containing innovative components, many of which are revealed through the experiences described in their stories. The range of narratives vary in every possible way, from the reasons they became mathematics teachers, to the number of years teaching, to the experiences encountered while teaching, to the different roles they have assumed throughout their careers. Nevertheless, one strand permeates all of the stories: their passion for what they do and their ability to reflect on early college experiences that contribute to their performance. These inspiring narratives will shed light on the developmental processes of mathematics teachers, what it means to teach mathematics, and the components of a secondary mathematics teacher preparation program that can contribute to their expertise. Praise for The Inspirational Untold Stories of Secondary Mathematics Teachers: This lovely book contains personal stories about the process of becoming a mathematics teacher and the challenges and rewards of the early years of teaching. These stories highlight that the path to teaching is often indirect, rocky, and filled with doubts. But these poignant stories are powerful because they are so honest. I wish I’d read these stories before I experienced some of the joys and challenges of my early years of teaching because they would have prepared me for the roller coaster of emotion associated with entering this complex but beautiful profession. I think these stories will be helpful when working with prospective and early career teachers. Randolph Philipp Professor of Mathematics Education School of Teacher Education, San Diego State University Immediate Past President, Association of Mathematics Teacher Educators (AMTE) This is a book about real people and true stories; the narratives are really insightful and truly inspirational. It is not only a book that those involved in teacher preparation programs may find useful and informative to read, but also a book that could provide insights and inspiration to those who are exploring what it is like to be a teacher. The journey of each of these success stories, despite the diverse starting point of each, speaks volumes of the importance of an effective teacher preparation program that not only nurtures but also provides support for the growth of the preservice teachers. The narratives in this book are certainly a testimonial to what we often hear–Teachers are more often made than born. Ngan Hoe Lee Associate Professor, Mathematics & Mathematics Education National Institute of Education, Singapore

For algebra or geometry courses for teachers; courses in topics of mathematics; capstone courses for teachers or other students of mathematics; graduate courses for practicing teachers; or students who want a better understanding of mathematics. Filling a wide gap in the market, this text provides current and prospective high school teachers with an advanced treatment of mathematics that will help them understand the connections between the mathematics they will be teaching and the mathematics learned in college. It presents in-depth coverage of the most important concepts in high school mathematics: real numbers, functions, congruence, similarity, and more.

The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.

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 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.

What is the role of mathematics in the secondary classroom? What is expected of a would-be maths teacher? How is mathematics best taught and learnt? Learning to Teach Mathematics in the Secondary School combines theory and practice to present a broad introduction to the opportunities and challenges of teaching mathematics in the modern secondary school classroom. Written specifically with the new and student teacher in mind, the book covers a wide range of issues related to the teaching of mathematics, including: The role of ICT Assessment for Learning NEW Using mathematics in context NEW Communicating mathematically Planning mathematics lessons Including special-needs pupils Teaching mathematics post-16 Professional Development Already a major text for many university teaching courses, this fully revised third edition takes into account new developments in the National Curriculum as well as recent changes to the standards for Qualified Teacher Status. Featuring two brand new chapters, a glossary of useful terms, addresses for resources and organisations, and tasks designed to prompt critical reflection and support thinking and writing at Masters level, this book will help you make the most of school experience, during your training and beyond. Designed for use as a core textbook, this new edition of Learning to Teach Mathematics in the Secondary School provides essential guidance and advice for all trainee and practising teachers of secondary mathematics.

Note: This is the loose-leaf version of Teaching Secondary Mathematics and does not include access to the Pearson eText. To order the Pearson eText packaged with the loose-leaf version, use ISBN 0133783677. Teaching Secondary Mathematics, 9/e combines methods of teaching mathematics, including all aspects and responsibilities of the job, with a collection of enrichment units appropriate for the entire secondary school curriculum spectrum to give teachers alternatives for making professional judgments about their teaching performance–and ensuring effective learning. The book is divided into two parts designed to ensure effective teaching and learning: Part I includes a focus on the job of teaching mathematics and Part II includes enrichment activities appropriate for the entire secondary school curriculum. Both the Common Core State Standards and The National Council of teachers of Mathematics Principles and Standards for School Mathematics are referred to throughout the book. The new Ninth Edition features an alignment with the Common Core State Standards (CCSS), with special focus on the mathematical practices, an updated technology chapter that shows how current tools and software can be used for teaching mathematics, and an updated chapter on assessment showing show to provide targeted feedback to advance the learning of every student.