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Forms of Mathematical Knowledge - Learning and Teaching with Understanding (Hardcover, Reprinted from EDUCATIONAL STUDIES IN MATHEMATICS, 38:1-3, 1999)
Loot Price: R2,935
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Forms of Mathematical Knowledge - Learning and Teaching with Understanding (Hardcover, Reprinted from EDUCATIONAL STUDIES IN MATHEMATICS, 38:1-3, 1999)
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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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