Geometrical intuition and the learning and teaching of geometry
Fujita, Taro, Jones, Keith and Shinya, Yamamoto (2004) Geometrical intuition and the learning and teaching of geometry. In, 10th International Congress on Mathematical Education (ICME10), Topic Study Group 10 (TSG10) on Research and Development in the Teaching and Learning of Geometry, Copenhagen, Denmark, 04 - 11 Jul 2004. 7pp.
Intuition is often regarded as essential in the learning of geometry, but how such skills might be effectively developed in students remains an open question. This paper reviews the role and importance of geometrical intuition and suggests it involves the skills to create and manipulate geometrical figures in the mind, to see geometrical properties, to relate images to concepts and theorems in geometry, and decide where and how to start when solving problems in geometry. Based on these theoretical considerations, we illustrate a range of student tasks that we argue should contribute to developing students’ geometrical intuition.
|Item Type:||Conference or Workshop Item (Paper)|
|Keywords:||pedagogy, curriculum, teaching, learning, intuition, geometry, Treutlein, Godfrey, intuitive, drawing, measurement, imagining, manipulating, figures, mathematics, Germany, England, geometric, geometrical, textbook, deductive reasoning, proof, Japan, Japanese, school, national curriculum|
|Subjects:||L Education > LB Theory and practice of education > LB2361 Curriculum
L Education > LB Theory and practice of education
L Education > LB Theory and practice of education > LB1603 Secondary Education. High schools
|Divisions:||University Structure - Pre August 2011 > School of Education > Professional Practice & Pedagogy
|Date Deposited:||21 Feb 2005|
|Last Modified:||28 Jun 2012 09:29|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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