A Focus on Ratios and Proportions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Focus on Ratios and Proportions write by Marjorie M. Petit. This book was released on 2020-05-17. A Focus on Ratios and Proportions available in PDF, EPUB and Kindle. This resource offers a groundbreaking effort to make mathematics education research on ratios and proportions readily accessible and understandable to preservice and in-service teachers of grades 6 to 8. Using extensive annotated samples of student work and based on research gathered in the Ongoing Assessment Project (OGAP), A Focus on Ratios and Proportions teaches readers how students develop understanding and fluency involving ratio and proportion concepts. Special features include: A close focus on student work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess and monitor their students’ errors and misconceptions, as well as their developing conceptual understanding. A focus on the OGAP Ratios and Proportions Progression, based on research conducted with hundreds of teachers and thousands of pieces of student work. Sections on how Common Core State Standards for Math (CCSSM) are supported by math education research. Student work samples and vignettes to illuminate the research, as well as end of chapter Looking Back questions and Instructional Links, which allow teachers to analyze evidence of student thinking and strategies and consider instructional responses. An accompanying eResource, available online, offers an answer key as well as extensive explanation of the Looking Back questions. Like A Focus on Multiplication and Division and A Focus on Fractions, this book is designed to bridge the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.
A Focus on Ratios and Proportions
A Focus on Ratios and Proportions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Focus on Ratios and Proportions write by Marjorie M. Petit. This book was released on 2020-05-17. A Focus on Ratios and Proportions available in PDF, EPUB and Kindle. This resource offers a groundbreaking effort to make mathematics education research on ratios and proportions readily accessible and understandable to preservice and in-service teachers of grades 6 to 8. Using extensive annotated samples of student work and based on research gathered in the Ongoing Assessment Project (OGAP), A Focus on Ratios and Proportions teaches readers how students develop understanding and fluency involving ratio and proportion concepts. Special features include: A close focus on student work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess and monitor their students’ errors and misconceptions, as well as their developing conceptual understanding. A focus on the OGAP Ratios and Proportions Progression, based on research conducted with hundreds of teachers and thousands of pieces of student work. Sections on how Common Core State Standards for Math (CCSSM) are supported by math education research. Student work samples and vignettes to illuminate the research, as well as end of chapter Looking Back questions and Instructional Links, which allow teachers to analyze evidence of student thinking and strategies and consider instructional responses. An accompanying eResource, available online, offers an answer key as well as extensive explanation of the Looking Back questions. Like A Focus on Multiplication and Division and A Focus on Fractions, this book is designed to bridge the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.
Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8
Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8 write by Joanne Elizabeth Lobato. This book was released on 2010. Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8 available in PDF, EPUB and Kindle. "A series for teaching mathematics."--P. [1] of cover.
Ratio and Proportion
Ratio and Proportion - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Ratio and Proportion write by David Ben-Chaim. This book was released on 2012-07-30. Ratio and Proportion available in PDF, EPUB and Kindle. 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.
Focus on Speed, Proportion & Ratio
Focus on Speed, Proportion & Ratio - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Focus on Speed, Proportion & Ratio write by Kumon. This book was released on 2012-06-01. Focus on Speed, Proportion & Ratio available in PDF, EPUB and Kindle. Kumon's research has discovered that children learn more easily when they tackle one skill at a time. That's why Kumon Focus on Workbooks shine a spotlight on one challenging maths topic per book and help children improve these essential skills and gain confidence in their abilities. Each workbook utilises the Kumon Method - a step-by-step, incremental approach that helps children learn at their own pace and without anxiety. By rigorously practising each skill, the child will be proficient in the mathematics that is crucial for future learning.
