Didactics of Mathematics as a Scientific Discipline

Didactics of Mathematics as a Scientific Discipline

Author: Rolf Biehler

Publisher: Springer Science & Business Media

Published: 2006-04-11

Total Pages: 459

ISBN-13: 030647204X

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Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book, drawn from 10 different countries, go on to identify certain subdisciplines and suggest an overall structure or `topology' of the field. The book is divided into eight sections: (1) Preparing Mathematics for Students; (2) Teacher Education and Research on Teaching; (3) Interaction in the Classroom; (4) Technology and Mathematics Education; (5) Psychology of Mathematical Thinking; (6) Differential Didactics; (7) History and Epistemology of Mathematics and Mathematics Education; (8) Cultural Framing of Teaching and Learning Mathematics. Didactics of Mathematics as a Scientific Discipline is required reading for all researchers into the didactics of mathematics, and contains surveys and a variety of stimulating reflections which make it extremely useful for mathematics educators and teacher trainers interested in the theory of their practice. Future and practising teachers of mathematics will find much to interest them in relation to their daily work, especially as it relates to the teaching of different age groups and ability ranges. The book is also recommended to researchers in neighbouring disciplines, such as mathematics itself, general education, educational psychology and cognitive science.


Exploiting Mental Imagery with Computers in Mathematics Education

Exploiting Mental Imagery with Computers in Mathematics Education

Author: Rosamund Sutherland

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 337

ISBN-13: 3642577717

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The advent of fast and sophisticated computer graphics has brought dynamic and interactive images under the control of professional mathematicians and mathematics teachers. This volume in the NATO Special Programme on Advanced Educational Technology takes a comprehensive and critical look at how the computer can support the use of visual images in mathematical problem solving. The contributions are written by researchers and teachers from a variety of disciplines including computer science, mathematics, mathematics education, psychology, and design. Some focus on the use of external visual images and others on the development of individual mental imagery. The book is the first collected volume in a research area that is developing rapidly, and the authors pose some challenging new questions.


The Future of the Teaching and Learning of Algebra

The Future of the Teaching and Learning of Algebra

Author: Kaye Stacey

Publisher: Springer Science & Business Media

Published: 2006-04-11

Total Pages: 382

ISBN-13: 1402081316

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Kaye Stacey‚ Helen Chick‚ and Margaret Kendal The University of Melbourne‚ Australia Abstract: This section reports on the organisation‚ procedures‚ and publications of the ICMI Study‚ The Future of the Teaching and Learning of Algebra. Key words: Study Conference‚ organisation‚ procedures‚ publications The International Commission on Mathematical Instruction (ICMI) has‚ since the 1980s‚ conducted a series of studies into topics of particular significance to the theory and practice of contemporary mathematics education. Each ICMI Study involves an international seminar‚ the “Study Conference”‚ and culminates in a published volume intended to promote and assist discussion and action at the international‚ national‚ regional‚ and institutional levels. The ICMI Study running from 2000 to 2004 was on The Future of the Teaching and Learning of Algebra‚ and its Study Conference was held at The University of Melbourne‚ Australia fromDecember to 2001. It was the first study held in the Southern Hemisphere. There are several reasons why the future of the teaching and learning of algebra was a timely focus at the beginning of the twenty first century. The strong research base developed over recent decades enabled us to take stock of what has been achieved and also to look forward to what should be done and what might be achieved in the future. In addition‚ trends evident over recent years have intensified. Those particularly affecting school mathematics are the “massification” of education—continuing in some countries whilst beginning in others—and the advance of technology.


Handbook of Research on Mathematics Teaching and Learning

Handbook of Research on Mathematics Teaching and Learning

Author: Douglas Grouws

Publisher: IAP

Published: 2006-11-01

Total Pages: 784

ISBN-13: 1607528746

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Sponsored by the National Council of Teachers of Mathematics and written by leading experts in the field of mathematics education, the Handbook is specifically designed to make important, vital scholarship accessible to mathematics education professors, graduate students, educational researchers, staff development directors, curriculum supervisors, and teachers. The Handbook provides a framework for understanding the evolution of the mathematics education research field against the backdrop of well-established conceptual, historical, theoretical, and methodological perspectives. It is an indispensable working tool for everyone interested in pursuing research in mathematics education as the references for each of the Handbook's twenty-nine chapters are complete resources for both current and past work in that particular area.


Learning Mathematics

Learning Mathematics

Author: Anthony Orton

Publisher: A&C Black

Published: 2004-10-01

Total Pages: 241

ISBN-13: 1441140018

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• Why do some students achieve more than others? • Do we have to wait until pupils are "ready"? • Can children discover math for themselves? • Does language interfere with the learning of math? This classic text, written from the viewpoint of the math teacher, provides answers to these and many more questions. Each chapter explores a particular issue that illustrates the interaction between theory and practice. New chapters have been included on cognition, pattern, and ICT.


Designing Instructional Systems

Designing Instructional Systems

Author: A J Romiszowski

Publisher: Routledge

Published: 2016-01-08

Total Pages: 434

ISBN-13: 1136548637

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This book deals with large-scale or macro-level instructional design, which is referred to by other authors variously as curriculum development, course design, training system design or instructional systems design. The emphasis throughout the book is on the application of a systems approach, which implies both a way of thinking about the problem and a methodology for seeking and developing solutions. Thus the approach of the book is problem-oriented. The successful problem-solver requires more than a technique or procedure. He requires experience of similar problems, some general principles that he can apply to the class of problems and a great deal of creativity to develop an optimal method of solving each problem. This book brings together the theories and practical experience that have been built up by instructional technologists over the last two decades, the techniques that are currently most used for the analysis of problems in education and for their solution, and a range of new ideas specially developed by the author to encourage the creative element (so often missing from educational materials). This book is intended for anyone involved in instructional design. It is designed on a ‘grid’ structure to facilitate the reader’s choice of chapters. Those who wish to gain a general overview may concentrate on the chapters at the theory base and analysis levels. Those more practically concerned with course design will find much of use in the synthesis and evaluation levels. Those who wish simply to discover ‘what’s new’ in this book and its treatment of instructional design will find what they are seeking principally in the analysis and evaluation levels.