Ratio and Proportion
Springer Science & Business Media, Jul 30, 2012 - Education - 275 pages
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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actual assessment authentic investigative activities Ben-Chaim calculate Chapter Comments and Explanations comparing comparison concept of ratio Connected Mathematics content knowledge correct answer course cubic determined Didactic Comments discussion distance elementary school example Explain your answer Explain your reasoning explanations for tasks Explanations Theme/Subject matter fractions given indirect proportion intensive quantity intuitive intuitive knowledge inverse proportion Keret learning length linear mathematics teachers meteoroid methods middle school missing value multiplicative relationship NCTM necklace number of beans perimeter pizza population density portfolio pre-service teachers presented proportion problems proportional equation proportional formula proportional reasoning proportional relationship proportional scheme pupils Purpose of activity quantities ratio and proportion sample scale scale ratio situation solution solving spherical beads square kilometers strategies stretching and shrinking teaching model teaching ratio teaching the topic topic of ratio total number understanding unit weight Worksheet Description