Revisiting Mathematics Education
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Revisiting Mathematics Education
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Author : Hans Freudenthal
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-08
Revisiting Mathematics Education written by Hans Freudenthal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-08 with Education categories.
This book is a product of love and respect. If that sounds rather odd I initially apologise, but let me explain why I use those words. The original manuscript was of course Freudenthal’s, but his colleagues have carried the project through to its conclusion with love for the man, and his ideas, and with a respect developed over years of communal effort. Their invitation to me to write this Preface e- bles me to pay my respects to the great man, although I am probably incurring his wrath for writing a Preface for his book without his permission! I just hope he understands the feelings of all colleagues engaged in this particular project. Hans Freudenthal died on October 13th, 1990 when this book project was well in hand. In fact he wrote to me in April 1988, saying “I am thinking about a new book. I have got the sub-title (China Lectures) though I still lack a title”. I was astonished. He had retired in 1975, but of course he kept working. Then in 1985 we had been helping him celebrate his 80th birthday, and although I said in an Editorial Statement in Educational Studies in Mathematics (ESM) at the time “we look forward to him enjoying many more years of non-retirement” I did not expect to see another lengthy manuscript.
Rethinking The Mathematics Curriculum
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Author : Celia Hoyles
language : en
Publisher: Routledge
Release Date : 2002-01-04
Rethinking The Mathematics Curriculum written by Celia Hoyles and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-04 with Education categories.
At a time when political interest in mathematics education is at its highest, this book demonstrates that the issues are far from straightforward. A wide range of international contributors address such questions as: What is mathematics, and what is it for? What skills does mathematics education need to provide as technology advances? What are the implications for teacher education? What can we learn from past attempts to change the mathematics curriculum? Rethinking the Mathematics Curriculum offers stimulating discussions, showing much is to be learnt from the differences in culture, national expectations, and political restraints revealed in the book. This accessible book will be of particular interest to policy makers, curriculum developers, educators, researchers and employers as well as the general reader.
The Legacy Of Hans Freudenthal
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Author : Leen Streefland
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
The Legacy Of Hans Freudenthal written by Leen Streefland and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Education categories.
The Legacy of Freudenthal pays homage to Freudenthal and his work on mathematics, its history and education. Almost all authors were his scholars or co-workers. They testify to what they learned from him. Freudenthal himself contributes posthumously. His didactical phenomenology of the concept of force is both provocative and revealing in its originality, compared with what is usually found in physics instruction. Freudenthal is portrayed as a universal human being by Josette Adda. He made considerable contributions to mathematics itself, e.g. on homotopy theory and Lie groups in geometry. The exposition of Freudenthal's mathematical life and work is on Van Est's account. Henk Bos discusses his historical work. The essay review of the 8th edition of Hilbert's Grundlagen der Geometrie serves as a vehicle of thought. The main part of the book, however, concerns Freudenthal's work on mathematics education. Christine Keitel reviews his final book Revisiting Mathematics Education (1991). Fred Goffree describes Freudenthal's `Working on Mathematics Education' both from an historical as well as a theoretical perspective. Adrian Treffers analyses Freudenthal's influence on the development of realistic mathematics education at primary level in the Netherlands, especially his influence on the Wiskobas-project of the former IOWO. Freudenthal once predicted the disappearance of mathematics as an individual subject in education sometime around the year 2000, because it would by then have merged with integrated thematic contexts. Jan de Lange anticipates this future development and shows that Freudenthal's prediction will not come true after all. Reflective interludes unveil how he might have influenced those developments. Freudenthal contributed a wealth of ideas and conceptual tools to the development of mathematics education -- on contexts, didactical phenomenology, guided reinvention, mathematisation, the constitution of mental objects, the development of reflective thinking, levels in learning processes, the development of a mathematical attitude and so on -- but he did not design very much concrete material. Leen Streefland deals with the question of design from a theoretical point of view, while applying Freudenthal's ideas on changing perspective and shifting. For teachers, researchers, mathematics educators, mathematicians, educationalists, psychologists and policy makers.
Secondary Algebra Education Revisiting Topics And Themes And Exploring The Unknown
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Author : Paul Drijvers
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-19
Secondary Algebra Education Revisiting Topics And Themes And Exploring The Unknown written by Paul Drijvers and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-19 with Education categories.
Nowadays, algebra education is subject to worldwide scrutiny. Different opinions on its goals, approaches and achievements are at the heart of debates among teachers, educators, researchers and decision makers. What should the teaching of algebra in secondary school mathematics look like? Should it focus on procedural skills or on algebraic insight? Should it stress practice or integrate technology? Do we require formal proofs and notations, or do informal representations suffice? Is algebra in school an abstract subject, or does it take its relevance from application in (daily life) contexts? What should secondary school algebra education that prepares for higher education and professional practice in the twenty-first century look like? This book addresses these questions, and aims to inform in-service and future teachers, mathematics educators and researchers on recent insights in the domain, and on specific topics and themes such as the historical development of algebra, the role of productive practice, and algebra in science and engineering in particular. The authors, all affiliated with the Freudenthal Institute for Science and Mathematics Education in the Netherlands, share a common philosophy, which acts as a ? sometimes nearly invisible ? backbone for the overall view on algebra education: the theory of realistic mathematics education. From this point of departure, different perspectives are chosen to describe the opportunities and pitfalls of today’s and tomorrow’s algebra education. Inspiring examples and reflections illustrate current practice and explore the unknown future of algebra education to appropriately meet students’ needs.
Rethinking School Mathematics
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Author : Andrew Noyes
language : en
Publisher: SAGE
Release Date : 2007-05-21
Rethinking School Mathematics written by Andrew Noyes and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-21 with Education categories.
Why is it that so many pupils are put off by maths, seeing it as uninspiring and irrelevant, and that so many choose to drop it as soon as they can? Why is it socially acceptable to be bad at maths? Does the maths curriculum really prepare pupils for life? This book presents some answers to these questions, helping teachers to think through their own attitudes to teaching and learning, and to work with pupils towards more effective and inspiring mathematical engagement. Part I of the book explores the nature of school mathematics - showing how the curriculum has been developed over the years, and how increasing effort has been devoted to improving the quality of mathematics teaching, with little apparent effect. Part II focuses on ways of thinking about classroom mathematics which take account of social, cultural, political and historical aspects. The chapters bring together a collection of activities, resources and discussion which will help teachers develop new ways of teaching and learning maths. This book will be essential reading for all maths teachers, including maths specialists on initial teacher training courses.
Democracy And Mathematics Education
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Author : Kurt Stemhagen
language : en
Publisher: Routledge
Release Date : 2021
Democracy And Mathematics Education written by Kurt Stemhagen and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Education categories.
"In Democracy and Mathematics Education, Kurt Stemhagen and Catherine Henney develop a way of thinking about the nature and purposes of math that is inclusive, participatory, and thoroughly human. They use these ideas to create a school mathematics experience that can enhance students' math abilities and democratic potential. They locate mathematics' origins in human activity and highlight the rich but often overlooked links between mathematical activity and democratic, social practices. Democratic mathematics education foregrounds student inquiry and brings to light the moral dimensions of a discipline that has both remarkable utility and inevitable limitations. For math educators, the book's humanities approach helps to see the subject anew. For philosophers, it provides an important real world context for wrestling with perennial and timely questions, engaging democratic and evolutionary theory to transform school math. This alternative approach to mathematics and mathematics education provides a guide for how to use math to make democracy a larger part of school and wider social life"--
History Of Mathematics Teaching And Learning
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Author : Alexander Karp
language : en
Publisher: Springer
Release Date : 2016-07-26
History Of Mathematics Teaching And Learning written by Alexander Karp and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-26 with Education categories.
This work examines the main directions of research conducted on the history of mathematics education. It devotes substantial attention to research methodologies and the connections between this field and other scholarly fields. The results of a survey about academic literature on this subject are accompanied by a discussion of what has yet to be done and problems that remain unsolved. The main topics you will find in “ICME-13 Topical Survey” include: • Discussions of methodological issues in the history of mathematics education and of the relation between this field and other scholarly fields. • The history of the formation and transformation of curricula and textbooks as a reflection of trends in social-economic, cultural and scientific-technological development. • The influence of politics, ideology and economics on the development of mathematics education, from a historical perspective. • The history of the preeminent mathematics education organizations and the work of leading figures in mathematics education. • Mathematics education practices and tools and the preparation of mathematics teachers, from a historical perspective.
Rethinking The Teaching And Learning Of Mathematics
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Author : Sue Southwood
language : en
Publisher:
Release Date : 1999
Rethinking The Teaching And Learning Of Mathematics written by Sue Southwood and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
Rethinking Mathematics
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Author : Eric Gutstein
language : en
Publisher:
Release Date : 2005
Rethinking Mathematics written by Eric Gutstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.
Rethinking Math Learning
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Author : Aditya Nagrath
language : en
Publisher: Houndstooth Press
Release Date : 2020-08-25
Rethinking Math Learning written by Aditya Nagrath and has been published by Houndstooth Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-25 with categories.
Low mathematics scores are a good predictor of high school dropout rates. Even when students do graduate, only 1 out of 4 are proficient at high-school level mathematics. In college, 69% of STEM majors switch to fields with fewer mathematics requirements. Math anxiety is real, and it prevents many adults from pursuing careers in math-related fields. America has a real problem with math illiteracy. That problem largely results from the way we teach our children math in school. All too often, math is reduced to memorization, in an environment that doesn't accommodate students' individual learning speeds. In Rethinking Math Learning, Dr. Aditya Nagrath shows how you can empower your child with the tools needed to overcome math illiteracy. Using a proven system of six basic concepts, steeped in years of research, Dr. Nagrath explains how to banish math anxiety forever and ensure that your child has the math skills necessary for their future economic success.
