Greg Hine, Robyn Reaburn, Judy Anderson, Linda Galligan, Colin Carmichael, Michael Cavanagh, Bing Ngu and Bruce White
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TEACHING SECONDARY MATHEMATICS
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A valuable resource for pre-service teachers who wish to integrate contemporary technology into teaching key mathematical concepts and engage students in the learning of mathematics
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*Subject to meeting course requirements ABN 28 508 204 178
DATE PUBLISHED: August 2016 FORMAT: Paperback* ISBN: 9781107578678 *also available as an eBook
www.cambridge.org/secondarymaths
TEACHING SECONDARY MATHEMATICS Enrich the professional lives of secondary mathematics educators at any stage of their careers.
DATE PUBLISHED: August 2016 FORMAT: Paperback* ISBN: 9781107578678 *also available as an eBook
CONTENTS How to use HOTmaths with this book Part I. Contemporary Issues in Learning and Teaching Mathematics:
Technology plays a crucial role in contemporary mathematics education.
Reflects the thinking and content available in the most current version of the Australian Curriculum.
Teaching Secondary Mathematics covers major contemporary issues in mathematics education, as well as how to teach key mathematics concepts from the Australian Curriculum: Mathematics. It integrates digital resources via Cambridge HOTmaths (www.hotmaths.com.au), a popular, award-winning online tool with engaging multimedia that help students and teachers learn and teach mathematical concepts.
EACH CHAPTER IS WRITTEN BY AN EXPERT IN THE FIELD AND FEATURES:
Learning outcomes Definitions of key terms Classroom activities – including HOTmaths activities Reflective questions
WHY CHOOSE THIS TEXT Each chapter outlines the needs of adolescent learners, together with a range of pedagogical approaches that educators can use to respond to these needs Provides teachers of lower and upper school students with resources to use immediately in the classroom A 12-month subscription to Cambridge HOTmaths (www.hotmaths.com.au) is included Aligned with key mathematical concepts from the Australian Curriculum: Mathematics
ADDITIONAL RESOURCES A free 12-month subscription to Cambridge HOTmaths www.hotmaths.com.au
1. Introduction - the learning and teaching of mathematics Introduction Key terms Mathematics for the twenty-first century Mathematical proficiency and the Australian Curriculum Theories about how students learn mathematics Student engagement in learning mathematics Summary
2. Language and mathematics Introduction Key terms Why language is important The mathematics register Language in the classroom Technical communication Summary
ABOUT THE AUTHORS Gregory Hine is a Senior Lecturer at the University of Notre Dame Australia in Fremantle. Robyn Reaburn is a Lecturer in mathematics education at the University of Tasmania in Australia. Judy Anderson is Associate Professor in mathematics education, Director of the STEM Teacher Enrichment Academy, and a member of the Academic Board at the University of Sydney. Linda Galligan is an Associate Professor with the School of Agricultural, Computational and Environmental Sciences at the University of Southern Queensland. Colin Carmichael is a Senior Lecturer in Diploma Programs at the University of Southern Queensland. Michael Cavanagh is the Director of the Teacher Education Program in the School of Education at Macquarie University and a Senior Lecturer in mathematics education. Bing Ngu is a Lecturer in the Mathematics Education team within the School of Education at the University of New England, Australia. Bruce White is a Lecturer in mathematics and science teacher education at the University of South Australia.
3. Making mathematical connections Introduction Key terms The importance of making mathematical connections What are mathematical connections? Teachers’ practices in promoting mathematical connections Science, technology, engineering and mathematics (STEM) Putting activities into practice Summary
4. Using technology in mathematics education Introduction Key terms Why use technology in the teaching and learning of mathematics? Mathematics software Devices used for teaching, learning and doing mathematics Mathematics online Summary
5. Inquiry-based learning Introduction Key terms Student-centred learning in mathematics classrooms Teaching strategies that foster student-centred approaches Problem solving and modelling in mathematics classrooms Inquiry-based learning in mathematics classrooms Collaborative and cooperative learning Summary
6. Gender, culture and diversity in the mathematics classroom Introduction Key terms Gender in the secondary mathematics classroom Culture in the secondary mathematics classroom Special needs learners in the secondary mathematics classroom Summary
www.cambridge.org/secondarymaths 7. Assessing mathematics learning Introduction Key terms Why assess? What is assessment? Guidelines for creating assessments in secondary mathematics Providing feedback to students Summary
Part II. Learning and Teaching Key Mathematics Content: 8. Number and algebra Introduction Key terms The unknown, pronumeral and variable Algebraic expression problems The classification of linear equations Teaching and learning linear equations in a hierarchical level of complexity Algebraic problem-solving in real life contexts Transferability of algebraic problem-solving to the science curriculum Summary
9. Measurement and geometry Introduction The importance of learning geometry The importance of learning measurement Key terms The concept of geometric proof The concept of transformation Using technology in measurement and geometry Summary
10. Statistics and probability Introduction Key terms The need for data and its collection Descriptive statistics, tables and graphs Tabular and graphical displays Probability Putting it all together: statistical inference Summary
11. Functions: A unifying concept Introduction Key terms Functions and their settings Functions at the transition Developing functions through the early secondary years Functions in the senior secondary school Summary
12. Calculus Introduction Key terms Troublesome knowledge, threshold concepts and concept image What students need to know before beginning calculus Derivatives Reversing the process: anti-differentiation and integration Summary