advanced cognitive processes in mathematics
Advanced Mathematical Thinking
Category=JNU
Category=YPMF
Classroom Teaching Experiments
cognitive development math
conceptual understanding mathematics
curriculum integration strategies
epistemological
Epistemological Obstacle
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Higher Dimensional Vector Spaces
horizontal
Horizontal Mathematizing
Hyperbolic Plane
Hyperbolic Space
Key Word
Klein Bottle
learning
linear
Linear Independence
mathematical abstraction
Mathematical Practices
Mathematical Thinking
mathematics education research
mathematizing
NCTM Principle
NCTM Recommendation
obstacle
Phase Line
practices
problem solving processes
Progressive Mathematizing
Proof Schemes
proportional
reasoning
Reasoning Practices
Rigorous Reasoning
Sin 3
Slant Height
Spherical Triangles
Tial Equations
vertical
Vertical Mathematizing
Was A Con-
Product details
- ISBN 9780805895056
- Weight: 140g
- Dimensions: 152 x 229mm
- Publication Date: 21 Jan 2005
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Paperback
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This is Volume 7, Issue 1 2005, a Special Issue of 'Mathematical Thinking and Learning' which looks at Advanced Mathematical Thinking. Opening with a brief history of attempts to characterize advanced mathematical thinking, beginning with the deliberations of the Advanced Mathematical Thinking Working Group of the International Group for the Psychology of Mathematics Education. The articles follow the recurring themes: (a) the distinction between identifying kinds of thinking that might be regarded as advanced at any grade level and taking as advanced any thinking about mathematical topics considered advanced; (b) the utility of characterizing such thinking for integrating the entire curriculum; (c) general tests, or criteria, for identifying advanced mathematical thinking; and (d) an emphasis on advancing mathematical practices.
Guest Editors: Annie Selden, John Selden, both Department o f Mathematical Sciences, New Mexico State University
