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This book contains ideas for teachers facing the challenges of turning their classrooms and schools into "discourse communities." The yearbook is divided into four sections. Part 1 (chapters 1-3) sets the stage by considering the challenges inherent in shifting directions of discourse. Part 2 (chapters 4-21) focuses on establishing discourse communities within the classroom. Part 3 (chapters 22-25) moves the discourse discussion outside the K-12 arena. Finally, Part 4 (chapters 26-28) focuses on the role of language in mathematics discourse. Chapters include: (1) "Communication--An Imperative for Change: A Conversation with Mary Lindquist" (M. M. Lindquist & P. C. Elliott); (2) "Diverse Comm...
This resource volume is an enlargement as well as an update of the previous edition. The book aims to introduce the reader to over 100 different families of positive integers. A brief historical note accompanies the descriptions and examples of several of the families together with a mix of routine exercises and problems as well as some thought provokers to solve. Number Treasury3 especially aims to stimulate further study beyond the scope of the introductory treatment given in the book. The emphasis in Number Treasury3 is on doing not proving. However, the reader is directed to think critically about situations, to provide explanations, to make generalizations, and to formulate conjectures....
Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.
This 1998 yearbook aims to stimulate and answer questions that all educators of mathematics need to consider to adapt school mathematics for the 21st century. The papers included in this book cover a wide variety of topics, including student-invented algorithms, the assessment of such algorithms, algorithms from history and other cultures, ways that algorithms grow and change, and the importance of algorithms in a technological world. Chapters include: (1) "Whither Algorithms? Mathematics Educators Express Their Views" (Lorna J. Morrow); (2) "Paper-and-Pencil Algorithms in a Calculator-and-Computer Age" (Zalman Usiskin); (3) "What Is an Algorithm? What Is an Answer?" (Stephen B. Maurer); (4)...
This book provides teachers of all levels with a great deal of valuable material to help them introduce discrete mathematics into their classrooms.
A collection of wonderful articles on recreational mathematics by a distinguished group of authors.
"Cheryl Beaver, Laurie Burton, Maria Fung, Klay Kruczek, editors"--Cover.