CURRENT ISSUES IN MATHEMATICS EDUCATION - COMAP

CURRENT ISSUES IN MATHEMATICS EDUCATION

MATERIALS OF THE AMERICAN?RUSSIAN WORKSHOP

MOSCOW STATE PEDAGOGICAL UNIVERSITY TEACHERS COLLEGE, COLUMBIA UNIVERSITY

NOVEMBER 18?20, 2016

CURRENT ISSUES IN MATHEMATICS EDUCATION

MATERIALS OF THE AMERICAN-RUSSIAN WORKSHOP

MOSCOW STATE PEDAGOGICAL UNIVERSITY TEACHERS COLLEGE, COLUMBIA UNIVERSITY

NOVEMBER 18-20, 2016

Edited by Alexander Karp

Articles by the following contributors work is copyright ? 2017

Alexander Karp Vladimir N. Dubrovsky, Vladimir A. Bulychev

Sol Garfunkel Irina Ovsyannikova Sergei A. Polikarpov Aleksey L. Semenov Vladimir Z. Sharich

Dmitry E. Shnol Erica N. Walker Nicholas H. Wasserman

Printed in the U.S.A.

ISBN-10: 1-933223-01-4 ISBN-13: 978-1-933223-01-8

Supported by the United States Department of State This publication was funded by a grant from the United States Department of State. The opinions, findings and conclusions stated herein are those of the authors and do not necessarily reflect those of the United States Department of State

Supported by the Eurasia Foundation This publication is made possible by the support of Eurasia Foundation. The contents are the responsibility of the authors and do not necessarily reflect the views of Eurasia Foundation

Published by

170 Middlesex Tpke., Suite 3B, Bedford, MA 01730

Contents

Preface ........................................................................................................................v

Reflecting on the Current Issues in Mathematics Education......................................1 Alexander Karp

MathKit and Math Practicum ..................................................................................13 Vladimir N. Dubrovsky, Vladimir A. Bulychev

Making Cultural Change ..........................................................................................29 Sol Garfunkel Using Technology in Mathematics Education ..........................................................39 Irina Ovsyannikova Mathematical Education in Russia: Modern Approaches to Math Teacher Preparation ..................................................................................................45 Sergei A. Polikarpov Implementation of the Conceptual Framework for Russian Mathematical Education............................................................................................61 Aleksey L. Semenov

Goals and Challenges of Mathematical Olympiads of Today: Science, Sport, University Admission, or Status? ....................................................67 Vladimir Z. Sharich

Mathematical Research Problems in Russian Schools ..............................................79 Dmitry E. Shnol

Some Political, Sociological, and Cultural Issues Related to Mathematics Teaching and Learning in the United States ............................................................95 Erica N. Walker

The Dilemma of Advanced Mathematics: Instructional Approaches for Secondary Mathematics Teacher Education ......................................................107 Nicholas H. Wasserman

Notes on Contributors ............................................................................................125

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Preface

The present publication comprises a collection of articles by the participants in the Russian-American workshop "Current Issues in Mathematics Education," which took place on November 18-20, 2016 in New York. The workshop was organized with support from the Eurasia Foundation in the form of a grant presented to the Moscow State Pedagogical University and Teachers College, Columbia University. Participants in the workshop included faculty from both institutions, as well as invited guests and colleagues, and doctoral and masters students of Teachers College, Columbia University. The collection opens with an introduction by A.P. Karp, followed by the articles in alphabetical order. Articles written in Russian were translated into English for this publication (conversely, for the Russian edition, articles originally in English were translated into Russian.)

The materials presented here mirror to a large extent the events of the workshop. They cannot, however, capture the extensive discussions of the papers and the problems they raised, which followed each of the presentations. A video recording of the workshop is available for those interested in that aspect of the proceedings. At the same time, publication of the papers delivered by the principal participants will likewise permit the reader to follow the discussion, as it were, by tracing the similarities and differences in the specific problems encountered in either country.

To be sure, the issues named and discussed here do not make up an exhaustive list. Mathematics education today faces a host of challenges, and ideas concerning their origins and remedies are just as numerous. We must continue the discussion, facing head-on the difficulties and setbacks. Neither shall we attempt to isolate ourselves from the experiences of other nations, but rather try to use those experiences to our advantage wherever possible. It is our hope that the materials presented here will prove useful in that regard.

We would like to extend our sincere thanks to Julia DeButts, Sergey Levchin and Juliana Fullon for their assistance in organizing the workshop and preparing the materials for publication.

Alexander Karp

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