Reconceiving Mathematics Instruction: A Focus on Errors

(Issues in Curriculum Theory, Policy, and Research)
Raffaella Borasi

Praeger | 1996 | 321 páginas |

rar - pdf - 9 Mb
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Descrição: As dissatisfaction with the current status of school mathematics grows worldwide, educators and professionals alike are calling for reforms and instructional changes. Yet, significant changes can only be achieved if each educator of school mathematics personally rethinks various aspects of mathematics instruction, and identifies concrete ways in which their current practice could be modified. Before such visions can be meaningfully implemented in classrooms, it is important that mathematics teachers and educators examine critically both the assumptions and implications of the vision for school mathematics that the reports propose. This book is intended to support educators in such a challenging enterprise by focusing attention on "errors" and their use in mathematics instruction. Throughout the book, an approach to errors as opportunities for learning and inquiry will be developed and employed both as a means to create the kinds of instructional experiences advocated for school mathematics reform, and as a heuristic to invite reflections about school mathematics as well as mathematics as a discipline. REVIEWS: "...Raffaella Borasi's newest book offers important contributions to the current debate on school mathematics reform." - Journal for Research in Mathematics Education "There are some great bits of philosophy in this book..." - Mathematics Teaching

Calculation vs. Context: Quantitative Literacy and Its Implications for Teacher Education

June 22-24, 2007 Wingspread Conference Center Racine, Wisconsin
Lynn Arthur Steen

Mathematical Association of America | 2008 | 197 páginas

on-line: maa.org

maa.org (pdf -livro inteiro)

Essays on Mathematical Education

George St. Lawrence Carson

Kessinger Publishing, LLC | 1913 | 152 páginas

on-line: archive.org

Games of no Chance 3

(Mathematical Sciences Research Institute Publications)
By Michael H. Albert, Richard J. Nowakowski

Cambridge University Press | 2009 | 576 páginas |  pdf


online (em capítulos) :library.msri.org

Descrição: his fascinating look at combinatorial games, that is, games not involving chance or hidden information, offers updates on standard games such as Go and Hex, on impartial games such as Chomp and Wythoff's Nim, and on aspects of games with infinitesimal values, plus analyses of the complexity of some games and puzzles and surveys on algorithmic game theory, on playing to lose, and on coping with cycles. The volume is rounded out with an up-to-date bibliography by Fraenkel and, for readers eager to get their hands dirty, a list of unsolved problems by Guy and Nowakowski. Highlights include some of Siegel's groundbreaking work on loopy games, the unveiling by Friedman and Landsberg of the use of renormalization to give very intriguing results about Chomp, and Nakamura's "Counting Liberties in Capturing Races of Go." Like its predecessors, this book should be on the shelf of all serious games enthusiasts.

Robert Of Chester's Latin Translation Of The Algebra Of Al-Khowarizmi

Robert Of Chester's Latin Translation Of The Algebra Of Al-Khowarizmi
Al-Khowarizmi

Kessinger Publishing, LLC | 2009 | 194 páginas | rar - pdf | 4,34 Mb

on-line: archive.org

O fracasso da Matemática Moderna

O fracasso da Matemática Moderna
Morris Kline
(em português)

Ibrasa | 1976 | 211 páginas | rar - pdf |35,12 Mb

4shared.com
4shared.com

Why Johnny Can't Add: The Failure of the New Math
Morris Kline
(em inglês)

Random House Inc | 1974 | 208 páginas

online: marco-learningsystems.com

Boxes, Squares and Other Things

A Teacher's Guide for a Unit in Informal Geometry

Marion I. Walter

National Council of Teachers of Mathematics | 1970 | pdf | 2,6 Mb

on-line: eric.ed.gov

Descrição: This unit describes an experience in informal geometry that is based on work with construction paper and milk cartons. The description is mostly of work actually carried out by children in the elementary grades involving such mathematical concepts as congruence, symmetry, the idea of a geometric transformation, and some basic notions of elementary group theory. The purposes of the unit are (1) to give students experience in visualizing two and three dimensional objects, and (2) to give students opportunity to learn to raise questions, pose problems, and learn to solve them.