sábado, 1 de março de 2014

Key Ideas in Teaching Mathematics: Research-based guidance for ages 9-19


 Anne Watson, Keith Jones e Dave Pratt 

 Oxford University Press | 2013 | 270 páginas | rar - pdf | 1,94 Mb

link (password: matav)

Big ideas in the mathematics curriculum for older school students, especially those that are hard to learn and hard to teach, are covered in this book. It will be a first port of call for research about teaching big ideas for students from 9-19 and also has implications for a wider range of students. These are the ideas that really matter, that students get stuck on, and that can be obstacles to future learning. It shows how students learn, why they sometimes get things wrong, and the strengths and pitfalls of various teaching approaches. Contemporary high-profile topics like modelling are included. The authors are experienced teachers, researchers and mathematics educators, and many teachers and researchers have been involved in the thinking behind this book, funded by the Nuffield Foundation. An associated website, hosted by the Nuffield Foundation, summarises the key messages in the book and connects them to examples of classroom tasks that address important learning issues about particular mathematical ideas.

CONTENTS
Abbreviations x
1 Introduction to key ideas in teaching mathematics 1
2 Relations between quantities and algebraic expressions 15
3 Ratio and proportional reasoning 41
4 Connecting measurement and decimals 69
5 Spatial and geometrical reasoning 92
6 Reasoning about data 117
7 Reasoning about uncertainty 147
8 Functional relations between variables 172
9 Moving to mathematics beyond age 16 200
References 220
Index 2 53

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