基本信息
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职业迁徙
个人简介
I was educated at Wellingborough Grammar School where I developed my life-long interests
in music, mathematics and people. At eighteen, I won an open scholarship to Oxford, obtaining a
first class honours degree in mathematics and the Junior Mathematics Prize. My leisure interests
included rugby, classical music and conducting choirs and orchestras.
I continue to develop a theory of the growth of mathematical thinking in different individuals
from young child to adult based on empirical evidence. This led me to formulate the
development in terms of three worlds of mathematics, the conceptual-embodied, the operationalsymbolic and the axiomatic-formal, in which mathematical concepts are constructed throughhuman perception, operation, and increasingly sophisticated forms of reasoning in each world. Iintegrated the cognitive and the affective aspects by introducing the notion of met-before where experiences met before may become supportive or problematic in new situations, encouraging generalization or impeding progress. I introduced the notion of crystalline concept to unify all three forms of conceptual construction, to give a full theory of How Humans Learn to Think
Mathematically, published by CUP (NY) (2013).
in music, mathematics and people. At eighteen, I won an open scholarship to Oxford, obtaining a
first class honours degree in mathematics and the Junior Mathematics Prize. My leisure interests
included rugby, classical music and conducting choirs and orchestras.
I continue to develop a theory of the growth of mathematical thinking in different individuals
from young child to adult based on empirical evidence. This led me to formulate the
development in terms of three worlds of mathematics, the conceptual-embodied, the operationalsymbolic and the axiomatic-formal, in which mathematical concepts are constructed throughhuman perception, operation, and increasingly sophisticated forms of reasoning in each world. Iintegrated the cognitive and the affective aspects by introducing the notion of met-before where experiences met before may become supportive or problematic in new situations, encouraging generalization or impeding progress. I introduced the notion of crystalline concept to unify all three forms of conceptual construction, to give a full theory of How Humans Learn to Think
Mathematically, published by CUP (NY) (2013).
研究兴趣
论文共 291 篇作者统计合作学者相似作者
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Lesson Study in Inclusive Educational Settings (2021)
semanticscholar(2019)
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Interdisciplinary Perspectives on Math CognitionMathematics in Mindpp.1-28, (2019)
semanticscholar(2019)
COMPLEX ANALYSIS: (THE HITCH HIKER'S GUIDE TO THE PLANE), 2ND EDITION (2018)
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COMPLEX ANALYSIS: (THE HITCH HIKER'S GUIDE TO THE PLANE), 2ND EDITIONpp.374-381, (2018)
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