The Pleasures of Math

A. W Goodman

Macmillan | 1965 | 224 páginas | djvu | 1,78 Mb

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Conteúdos:
1 Mathematical Symbols
2 Mathematical Induction
3 Magic Squares
4 Inequalities
5 Mathematical Induction in Geometry
6 The Four-Color Problem
7 The Conic Sections
8 Extreme Values Without Using Calculus
9 Geometric Extremes
10 The Theory of Numbers
11 Permutations and Combinations
12 Mathematical Intuition
Answers to Problems
Bibliography
Index

Talking Mathematics in School: Studies of Teaching and Learning

(Learning in Doing: Social, Cognitive and Computational Perspectives)
Magdalene Lampert, Merrie L. Blunk

Cambridge University Press | 1998 | 272 páginas | pdf | 2,98 Mb

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Descrição: Talking Mathematics in School investigates the relationship between students' discussions about mathematics in K-12 classrooms and their mathematical understanding. Beginning with a linguistic and sociolinguistic review of what is known about connections between thought, language, and learning, Lampert and Blunk consider what this research suggests for the teaching and learning of mathematical ideas and discourse. A collection of studies from various disciplinary perspectives--set in elementary and secondary classrooms, a computer-supported tutorial, and a workplace interaction--examines the nature of mathematical talk and the roles of students, teachers, tasks, and environment in producing it.

Table of Contents

Series Foreword

Acknowledgments

List of Contributors

1 Introduction 1

Pt. I Doing and Learning Mathematical Talk 15

2 Language Socialization in the Mathematics Classroom: Discourse Practices and Mathematical Thinking 17

3 The Role of Imagery and Discourse in Supporting Students' Mathematical Development 56

4 Building a Context for Mathematical Discussion 82

5 Disciplined Perception: Learning to See in Technoscience 107

Pt. II Teaching Mathematical Talk 151

6 Investigating Teaching Practice 153

7 The Teacher's Role in Mathematical Conversation: Stepping In and Stepping Out 163

8 Teacher Talk About How to Talk in Small Groups 190

9 Teaching and Learning Politeness for Mathematical Argument in School 213

10 Closing Reflections on Mathematical Talk and Mathematics Teaching 241

Author Index 253

Subject Index 257

Mind Bafflers

George J. Summers

Orient Paperbacks, India | 1998| 128 páginas |  djvu |  1,3 Mb

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(pdf - 31 Mb)
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Descrição: Even if you start out with a brain that's operating perfectly well, by the time you're halfway through these 36 whodunit puzzles you'll be lucky if you can remember your name! You start by getting caught up in an argument among some musicians, and try to find out who started it; then the dispute turns more serious, when one of the choir members gets murdered. Later, a friendly game of cards features a bit of cheating that leads to a killing; and then a backstage whistling incident causes still another death (many actors believe it's bad luck to hear whistling before a performance). There's much more, for there are 29 culprits to catch, plus seven other puzzles where you must find a missing word or number. Start each Mind Baffler by reading the problem to be solved, then use the handy solution scheme to keep your facts straight. You can peek at hints and clues, and if you're still stumped, then study the pointers on what kind of logic to use, or use the sets of Solution Starters that will put you firmly on the trail of the evildoers.

The Great Book of Puzzles and Teasers

George J. Summers

Jaico Publishing House | 2005 | 256 páginas |  pdf | 48 Mb

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Huge collection of tantalizing logic puzzles offers hints when you're stuck, plus step-by-step solutions, imaginatively teaching problem-solving skills.

Symmetry in Chaos: A Search for Pattern in Mathematics, Art, and Nature

Second Edition
Michael Field, Martin Golubitsky

Society for Industrial and Applied Mathematics | 2009 | 213 páginas | PDF | 16 Mb

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Descrição: Mathematical symmetry and chaos come together to form striking, beautiful color images throughout this impressive work, which addresses how the dynamics of complexity can produce familiar universal patterns.The book, a richly illustrated blend of mathematics and art, was widely hailed in publications as diverse as the New York Review of Books, Scientific American, and Science when first published in 1992. This much-anticipated second edition features many new illustrations and addresses the progress made in the mathematics and science underlying symmetric chaos in recent years; for example, the classifications of attractor symmetries and methods for determining the symmetries of higher dimensional analogues of images in the book. In particular, the concept of patterns on average and their occurrence in the Faraday fluid dynamics experiment is described in a revised introductory chapter.The ideas addressed in Symmetry in Chaos have been featured at various conferences on intersections between art and mathematics, including the annual Bridges conference, and in lectures to art students at the University of Houston.Symmetry in Chaos features 100+ illustrations, including 54 computer-generated color images.

Early Numeracy: Assessment for Teaching and Intervention

Robert J Wright,  James Martland, Ann K Stafford


Sage Publications | 2006 | 224 páginas | PDF | 21,4 Mb

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Descrição: The assessment tools in this revised edition help teachers identify children's difficulties and misconceptions and become more skilled and confident in planning programs for intervention and monitoring children's progress.

Table of Contents
1 Children, numeracy and mathematics recovery 112 The learning framework in number 193 The LFIN and the assessment interview schedule 1.1 304 The stages of early arithmetical learning (SEAL) 515 Identifying the stages of early arithmetical learning 756 Assessment interview schedule 1.2 927 Part C of the LFIN : assessment interview schedules 2.1 and 2.2 1038 Assessment interview schedules 3.1 and 3.2 1199 Recording, coding and analyzing the assessment interview schedules 14510 Linking the assessment to teaching 152

Children and Number: Difficulties in Learning Mathematics

Martin Hughes
Wiley-Blackwel | 1991 | 208 páginas | PDF | 10,1 Mb

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Descrição: The importance of learning mathematics is constantly stressed by educationalists and employers alike. Yet survey after survey shows that large numbers of children leave school lacking both competence and interest in mathematics. What is going wrong and what should be done about it?
In Children and Number Martin Hughes proposes a new perspective on children's early attempts to understand mathematics. He describes the surprisingly substantial knowledge about number which children acquire naturally before they start school, and contrasts this with the difficulties presented by the formal written symbolism of mathematics in the classroom. He argues that children need to build links between their informal and their formal understanding of number, and shows what happens when these links are not made.Children and Number describes many novel ways in which young children can be helped to learn about number. The author shows that the written symbols children often invent for themselves are more meaningful to them than the symbols that they are taught. He presents simple number games for introducing children to mathematical symbols in ways they can appreciate and understand. Dr. Hughes also describes how the computer language LOGO can be adapted for young children, and shows the dramatic effect that LOGO can have on their mathematical understanding.