Mathematical Knowledge pdf (079235995X)

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Forms of Mathematical Knowledge - Learning and Teaching with Understanding

What mathematics is entailed in knowing to act in a moment? Is tacit, rhetorical knowledge significant in mathematics education? What is the role of intuitive models in understanding, learning and teaching mathematics? Are there differences between elementary and advanced mathematical thinking? Why can't students prove? What are the characteristics of teachers' ways of knowing? This book focuses on various types of knowledge that are significant for learning and teaching mathematics. The first part defines, discusses and contrasts psychological, philosophical and didactical issues related to various types of knowledge involved in the learning of mathematics. The second part describes ideas about forms of mathematical knowledge that are important for teachers to know and ways of implementing such ideas in preservice and in-service education. The chapters provide a wide overview of current thinking about mathematics learning and teaching which is of interest for researchers in mathematics education and mathematics educators. Topics covered include the role of intuition in mathematics learning and teaching, the growth from elementary to advanced mathematical thinking, the significance of genres and rhetoric for the learning of mathematics and the characterization of teachers' ways of knowing.

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	Mathematical Discovery: On Understanding, Learning and Teaching Problem Solving Combined Edition George Polya “Mathematical Discovery: On Understanding, Learning and Teaching Problem Solving Combined Edition" Wiley \| 1981-04-10 \| ISBN: 0471089753 \| 432 pages \| Djvu\| 3,6 Mb
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	Mathematical Discovery: On Understanding, Learning and Teaching Problem Solving Combined Edition George Polya “Mathematical Discovery: On Understanding, Learning and Teaching Problem Solving Combined Edition" Wiley \| 1981-04-10 \| ISBN: 0471089753 \| 432 pages \| Djvu\| 3,6 Mb
	Study Teaching and Learning Geometry: Issues And Methods In Mathematical Education Doug French "Teaching and Learning Geometry: Issues And Methods In Mathematical Education"Continuum \| English \| 2005-01-30 \| ISBN: 082647361X \| 169 pages \| PDF \| 20,4 MBThis fascinating title reviews the teaching and learning of school geom ...
	Teaching Fractions and Ratios for Understanding: Essential Content Knowledge and Instructional Strategies for Teachers Teaching Fractions and Ratios for Understanding: Essential Content Knowledge and Instructional Strategies for Teachers Publisher: Lawrence Erlbaum \| ISBN: 0805829407 \| edition 1999 \| CHM \| 256 pages \| 11 mbA text that crosses traditional b ...
	Understanding and Teaching the Intuitive Mind: Student and Teacher Learning Understanding and Teaching the Intuitive Mind: Student and Teacher Learning Publisher: Lawrence Erlbaum \| ISBN: 0805831096 \| edition 2001 \| CHM \| 288 pages \| 1,05 mbThe intuitive mind is a powerful force in the classroom and often an undet ...
	Mathematical Discovery: On Understanding, Learning and Teaching Problem Solving Combined Edition Author: George PolyaPublisher: Wiley (1981)Binding: Paperback, 432 pagespricer: ISBN-10: 0471089753editorialreviewsCombining standard Volumes I and II into one soft cover edition, this helpful book explains how to solve mathematical problem ...
	Study Understanding Assessment (Teaching About Learning) Author: David LambertPublisher: RoutledgeFalmer (2001)Binding: Paperback, 192 pagespricer: $45.95ISBN-10: 0750709928editorialreviewsThis book is written specifically for teachers-in-training which will clarify the 'big picture' of monitorin ...

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