Ratio and Proportion

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Springer Science & Business Media, Jul 30, 2012 - Education - 275 pages
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Ratio and Proportion—Research and Teaching in Mathematics Teachers’ Education offers its readers an intellectual adventure where they can acquire invaluable tools to turn teaching ratio and proportion to professionals and school children into an enjoyable experience. Based on in-depth research, it presents a deep, comprehensive view of the topic, focusing on both the mathematical and psychological-didactical aspects of teaching it. The unique teaching model incorporates both theoretical and practical knowledge, allowing instructors to custom-design teacher courses according to their speci?c needs. The book reports on hands-on experience in the college classes plus teachers’ experience in the actual classroom setting. An important feature is the extensive variety of interesting, meaningful authentic activities. While these activities are on a level that will engage pre- and in-service mathematics teachers in training, most can also be utilized in upper elementary and middle school classes. Accompanying the majority of these activities are detailed remarks, explanations, and solutions, along with creative ideas on how to conduct and expand the learning adventure. While primarily written for educators of mathematics teachers, this book can be an invaluable source of information for mathematics teachers of elementary and middle school classes, pre-service teachers, and mathematics education researchers.
 

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Contents

CHAPTER 1 INTRODUCTION
3
PART ONE STRUCTURE OF BOOK AND TEACHING MODEL
6
PART TWO THEORETICAL BACKGROUND
20
PART THREE AUTHENTIC INVESTIGATIVE ACTIVITIES INCLUDING DIDACTIC COMMENTS AND EXPLANATIONS
71
PART FOUR ASSESSMENT TOOLS
219
PART FIVE ANNOTATED RESOURCES AND BIBLIOGRAPHY
252
CHAPTER 19 BIBLIOGRAPHY
269
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