Ratio and Proportion

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.

Zusammenfassung
Ratio and ProportionResearch 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.

Inhalt
Chapter 1: Introduction; PART I: STRUCTURE OF BOOK AND TEACHING MODEL; Chapter 2: Structure of Book; Chapter 3: A Model for Teaching Ratio and Proportion Using Authentic Investigative Activities; PART II: THEORETICAL BACKGROUND; Chapter 4: A mathematical Perspective of Ratio and Proportion; Chapter 5: Proportional reasoningA psychological-didactical view; Chapter 6: Research and new approaches in pre- and in-service mathematics teacher education; PART III: AUTHENTIC INVESTIGATIVE ACTIVITIES, INCLUDING DIDACTIC COMMENTS AND EXPLANATIONS; Chapter 7: Authentic investigative activities Introduction; Chapter 8: Group 1: Introductory activities; Chapter 9: Group 2: Rate activities; Chapter 10: Group 3: Ratio activities; Chapter 11: Group 4: Stretching and Shrinking: Scaling Activities; Chapter 12: Group 5: Indirect Proportion Activities; Chapter 13: Group 6: Additional Activities for Practice and Enrichment (All topics); PART IV: ASSESSMENT TOOLS; Chapter 14: Introduction to Assessment Tools; Chapter 15: Questionnaire: Attitude Toward Ratio and Proportion; Chapter 16: Diagnostic Questionnaire in Ratio and Proportion; Chapter 17: Assessing Research Reports and Building a Student Portfolio; PART V: ANNOTATED RESOURCES AND BIBLIOGRAPHY; Chapter 18: Annotated Resources; Chapter 19: Bibliography.

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