Fundamental Constructs in Mathematics Education

Fundamental Constructs in Mathematics Education

Fundamental Constructs in Mathematics Education

Fundamental Constructs in Mathematics Education

Synopsis

Fundamental Constructs in Mathematics Education is a unique sourcebook crafted from classic texts, research papers and books in mathematics education. Linked together by the editors' narrative, the book provides a fascinating examination of, and insight into, key constructs in mathematics education and how they link together. The choice of constructs is based on (some of) the many constructs which have proved fruitful in research and which have informed choices made by teachers.The book is divided into two parts: learning and teaching. The first part includes views about how people learn - from Plato to Dewey, as well as constructivism, activity theory and French didactiques. The second part includes extracts concerned with initiating, sustaining, and bringing to a conclusion learners' work on mathematical tasks.Fundamental Constructs in Mathematics Educationprovides access to a wide range of constructs in mathematics education, and will orient the reader towards important original sources.

Excerpt

The authors and the publishers wish to thank the following for allowing their work to be reproduced in the book.

Extracts reprinted by permission of the publisher from Toward A Theory of Instruction by Jerome S. Bruner, pp. 160, 161, 163, 44-5, 10, 12, 14 Cambridge, Mass.: The Belknap Press of Harvard University Press, copyright © 1966 by the President and Fellows of Harvard College.

Hewitt, D., 'Arbitrary and Necessary, Part 1: A Way of Viewing the Mathematics Curriculum', For the Learning of Mathematics. Extracts reprinted with permission of the publisher, FLM Publishing Association.

Marton, F. and Booth, S., Learning and Awareness, Erlbaum Mahwah, 1997. Extracts reprinted by permission of the publisher Lawrence Erlbaum Associates.

Hughes, M., Children and Number: Difficulties in Learning Mathematics, Blackwell, Oxford, 1986. Reprinted by permission of the Blackwell Publishing Limited.

Extracts from The Psychology of Learning Mathematics by Richard R. Skemp Penguin Books, 1971, copyright © Richard Skemp, 1971. Reproduced by permission of Penguin Books Ltd.

Extracts from A Boolean Anthology: Selected Writings of Mary Boole on Mathematical Education, D. Tahta, Derby, 1972. Reprinted by permission of The Association of Teachers of Mathematics.

Extracts from What We Owe Children: The Subordination of Teaching to Learning by Caleb Gattegno, Routledge & Kegan Paul, London, 1970. Reprinted by permission of Taylor & Francis Books Ltd.

Extracts reprinted with the permission of Scribner, an imprint of Simon & Schuster Adult Publishing Group, and with the permission of Cambridge University Press from The Aims of Education and Other Essays by Alfred North Whitehead. Copyright © 1929 by The Macmillan Company; copyright renewed © 1957 by Evelyn Whitehead.

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