Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.
In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction.
IMAGES: A Resource Guide for Improving Measurement and Geometry in Elementary Schools
Improving the quality of education is an important ambition of educational policy.
... like to acknowledge the contributions of Cristina Heffernan , who developed the COMET website , provided feedback on early versions of the cases and facilitation materials , and identified tasks in other curricula that corresponded ...
For grades 3-5.
Results from the Third International Mathematics and Science Study (TIMMS) have recently captured the attention of the United States and once again focused the nation on matters of mathematics teaching...
This is the second volume in a new series from ASCD that explores tested methods of teaching and administrating curriculum in the major content areas.
Tabach, M., Levenson, E., Barkai, R., Tirosh, D., Tsamir, P. and Dreyfus, T. (2010). Secondary school teachers' awareness of numerical examples as proof. Research in Mathematics Education, 12(2), 117–131. Tall, D. and Vinner, S. (1981).
... 89 and Castleman, 50 and Clark, 110–11 and Cooper, 70–71 and Hernandez, 86 of high-level thinking/performance, 50, ... 161 Monomials, algebra tiles to multiply, 88–100 Moon, J., 142–43 Mossgrove, J., 8, 138,154 Mullis, I.V.S., ...
But what does that mean? This book focuses on essential knowledge for teachers about geometry and measurement. It is organised around four big ideas, supported by multiple smaller, interconnected ideas- essential understandings .