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Mathematics & Mathematics Education: Searching for Common Ground: Advances in Mathematics Education

Editat de Michael N. Fried, Tommy Dreyfus
en Limba Engleză Hardback – 11 dec 2013
This book is the fruit of a symposium  in honor of Ted Eisenberg concerning the growing divide between the mathematics community and the mathematics education community, a divide that is clearly unhealthy for both. The work confronts this disturbing gap by considering the nature of the relationship between mathematics education and mathematics, and by examining areas of commonality as well as disagreement.  It seeks to provide insight into the mutual benefit both stand to gain by building bridges based on the natural bonds between them.
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Specificații

ISBN-13: 9789400774728
ISBN-10: 9400774729
Pagini: 416
Ilustrații: XI, 402 p. 53 illus.
Dimensiuni: 155 x 235 x 27 mm
Greutate: 0.76 kg
Ediția:2014
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Advances in Mathematics Education

Locul publicării:Dordrecht, Netherlands

Public țintă

Research

Cuprins

Preface and Acknowledgements.- Introduction.- Mathematics and Mathematics Education: Searching for common ground: Michael N. Fried.- Chapter 1.  A Dialogue on a Dialogue.- Mathematics and Mathematics Education: Beginning a Dialogue in an Atmosphere of Increasing Estrangement: Michael N. Fried.- Some of my pet-peeves with mathematics education: Ted Eisenberg.- Mathematics at the Center of Distinct Fields: A Response to michael and Ted: Norma Presmeg.- Chapter 2.  Mutual Expectations.- Mutual Expectations between Mathematicians and Mathematics Educators : Tommy Dreyfus.-With contributions by:Uri Onn, Joanna Mamona-Downs, Stephen Lerman.- Chapter 3.  History of Mathematics, Mathematics Education, and Mathematics.- History in mathematics education. A hermeneutic approach: Hans Niels Jahnke.- Reflections on History of Mathematics: History of Mathematics and Mathematics Education: Luis Radford.- With contributions by:Alain Bernard, Michael N. Fried , Fulvia Furinghetti, Nathalie Sinclair.- Chapter 4.  Problem-Solving: A Problem for Both Mathematics and Mathematics Education.- Reflections on Problem-Solving: Problem solving in mathematics and in mathematics education: Boris Koichu.- With contributions by: Gerald A. Goldin, A. Israel Weinzweig, Shlomo Vinner, Roza Leikin.- Chapter 5.  Mathematical Literacy: What Is It and How is It Determined?.-“Mathematical Literacy”: An Inadequate Metaphor: E. Paul Goldenberg.- Reflections on Mathematical literacy : What’s new, why should we care, and what can we do about it? : Anna Sfard.- With contributions by:Abraham Arcavi, Ron Livné, Iddo Gal, Anna Sfard, Hannah Perl.- Chapter 6.  Visualization in Mathematics and Mathematics Education: Visualization in Mathematics and Mathematics Education: A Historical Overview : M. A. (Ken) Clements.- Visualization in mathematics and mathematics education: Elena Nardi (University of East Anglia).- With contributions by: Rina Hershkowitz,
Raz Kupferman , Norma Presmeg, Michal Yerushalmy.- Chapter 7.  Justification and Proof.- Making Sense of Mathematical Reasoning and Proof: David Tall.- Reflections on Justification and Proof: Justification and Proof in Mathematics and Mathematics Education: Keith Weber.- With contributions by: Gila Hanna, Guershon Harel, Ivy Kidron, Annie Selden and John Selden.- Chapter 8.  Policy: What Should We Do, and Who Decides?.- Mathematics and mathematics education policy: Mogens Niss.- Reflections on Policy: Mathematics and Mathematics Education Policy—Searching for Common Ground : Nitsa Movshovitz-Hadar.- With contributions by:Jonas Emanuelsson, Davida Fischman, Azriel Levy, Zalman Usiskin.- Chapter 9.  Collaboration.- Mathematics and Education: Collaboration in Practice: Hyman Bass.- Deborah Loewenberg Ball.- Reflections on Collaboration between Mathematics and Mathematics Education: Patrick W. Thompson.- With contributions by: Michéle Artigue, Günter Törner, Ehud de Shalit.- Postscript.- We Must Cultivate Our Common Ground: Jeremy Kilpatrick.- Appendix 1.  Ted Eisenberg, Teacher, Colleague, and Friend.- Ted as advisor and colleague: Tommy Dreyfus.- Thank you, Ted!: Francis Lowenthal.- Annotated bibliography of Ted Eisenberg’s Major Publications: Tommy Dreyfus.- Appendix 2.  Reprints of the Dialogues between Presmeg, Eisenberg, and Fried from ZDM 41(1-2).-Index

Recenzii

“The book represents a snapshot of the views ofinvitees to this symposium on mathematical themes considered to be ofsignificance to both communities. From this perspective, the book could befruitfully used as a resource by university mathematics teaching staff, alongwith mathematics education lecturers, researchers, and graduate studentswishing to gain a broad overview of many of the significant curricular andpedagogical issues for mathematics education in school and at university.” (GailE. FitzSimons, Educational Studies in Mathematics, Vol. 90, 2015)
“The book could be used as a textbook in a graduate seminar or as a resource for mathematics and mathematics education graduate students interested in collaborating with each other on mutually beneficial topics of research. Finally the community of mathematics education would benefitfrom reading the book since it gives a message of hope for the future quite different from the rhetoric that plays out in social media about the rift between mathematics and mathematics education.” (Bharath Sriraman, Mathematical Thinking and Learning, Vol. 15 (3), 2014)

Caracteristici

Confronts the growing gap between the disciplines of mathematics education and mathematics Explores areas of agreement and disagreement between the communities of mathematics educators and mathematicians Demonstrates the continuing relevance of the debate between the two cultures of mathematics education and mathematics Contains contributions by Hyman Bass, Jeremy Kilpatrick, Mogens Niss, Michele Artigue, Anna Sfard, and many others Includes supplementary material: sn.pub/extras