000 nam a22 7a 4500
999 _c84944
_d84944
008 180806b xxu||||| |||| 00| 0 eng d
020 _a9781107668546
082 0 0 _a510.1
_bTal
100 1 _aTall, David
245 1 0 _aHow humans learn to think mathematically :
_bexploring the three worlds of mathematics
260 _aNew York
_bCambridge University Press
_c2013
300 _axix, 457p.
_c9x6
_bpb
440 _aLearning in doing : social, cognitive and computational perspectives
520 _aHow Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for these developments are accessible to a general audience while encouraging specialists to relate their areas of expertise to the full range of mathematical thinking. The book offers a comprehensive framework for understanding mathematical growth, from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking at the highest level.
650 _aMathematics- Philosophy
650 _aMathematics- Psychological aspects
650 _aMathematics- Study and teaching
650 _aThought and thinking
650 _aKnowledge, Theory of
650 _aCognition
650 _aCognition in children
942 _cBK