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 series for teaching mathematics."--P. [1] of cover.
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 ...
Focuses on the specialized pedagogical content knowledge that you need to teach ratios and proportions effectively in grades 6-8.
Before the Review there is also an optional lesson, Significant Digits, that deals with the concept of the accuracy of a measurement and how it limits the accuracy of the solution.
This popular text addresses the urgent need for curriculum materials that cross traditional boundaries to include many of the elements that are integrated in the teaching/learning enterprise: mathematics content, teacher understanding, ...
McCallum, B. (2012, April 26). General questions about the mathematics standards. Retrieved from www.math.arizona.edu/~ime/2011-12/blogdiscussion_2012_05_26.pdf Metsisto, D. (2005). Reading in the mathematics classroom.
This new resource by well-known professional developer Marian Small suggests questions that are both interesting for students and useful for providing diagnostic information to teachers.
There are handy pages of photocopiable resources. This is a lively and often passionate account of ways of ensuring that multi-sensory approaches infect mathematics learning. As the author says, "pictures in the mind can help all pupils".
Introduction to Ratio & proportion This book includes a brief explanation part, example with solutions, practice problems, problem-solving strategies, multiple-choice questions with answer sheets and it has been prepared for the beginners ...
As the culinary world fills up with overly complicated recipes and never-ending ingredient lists, Michael Ruhlman blasts through the surplus of information and delivers this innovative, straightforward book that cuts to the core of cooking.