Primarily Math
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Primarily Math
It is important that schools emphasize a problem-solving approach to mathematics beginning in the early years and continuing through high school. Students should learn to value the process of solving problems, as well as getting the correct solutions. The strategies in this book will help students reason, develop their problem-solving strategies, grow in their ability to communicate mathematically, and develop confidence in their mathematical abilities. Five different problem-solving strategies are carefully taught using teacher-directed interactive introductory lessons. A series of practice problems follow the introductory lessons for each strategy. The strategies include: using a manipulative or acting out a problem, drawing a picture or diagram, extending a repeating pattern, making a table or list, and choosing relevant information. Each strategy is first introduced through several carefully presented problems that include introductory group lessons and instructional notes for the teachers. Additionally, the last section of the book presents a variety of problems that give students the opportunity to apply the problem-solving strategies they have learned. This is the perfect supplement to any primary math program, as well as an excellent resource for a math center. All problems are delightfully illustrated and reproducible. Grades 2-4
Strengthening the Linkages Between the Sciences and the Mathematical Sciences
Author: National Research Council
language: en
Publisher: National Academies Press
Release Date: 2000-04-05
Over three hundred years ago, Galileo is reported to have said, "The laws of nature are written in the language of mathematics." Often mathematics and science go hand in hand, with one helping develop and improve the other. Discoveries in science, for example, open up new advances in statistics, computer science, operations research, and pure and applied mathematics which in turn enabled new practical technologies and advanced entirely new frontiers of science. Despite the interdependency that exists between these two disciplines, cooperation and collaboration between mathematical scientists and scientists have only occurred by chance. To encourage new collaboration between the mathematical sciences and other fields and to sustain present collaboration, the National Research Council (NRC) formed a committee representing a broad cross-section of scientists from academia, federal government laboratories, and industry. The goal of the committee was to examine the mechanisms for strengthening interdisciplinary research between mathematical sciences and the sciences, with a strong focus on suggesting the most effective mechanisms of collaboration. Strengthening the Linkages Between the Sciences and the Mathematical Sciences provides the findings and recommendations of the committee as well as case studies of cross-discipline collaboration, the workshop agenda, and federal agencies that provide funding for such collaboration.
Teacher Noticing: Bridging and Broadening Perspectives, Contexts, and Frameworks
This book reflects on the continuing development of teacher noticing through an exploration of the latest research. The authors and editors seek to clarify the construct of teacher noticing and its related branches and respond to challenges brought forth in earlier research. The authors also investigate teacher noticing in multiple contexts and frameworks, including mathematics, science, international venues, and various age groups.
