Mathematics and Cognition: Psychological Aspects of Learning Geometry

摘要: There are two main “classic” aspects of teaching and learning geometry: viewing geometry as the science space it a logical structure, where is environment in which learner can get feeling for mathematical structure (Freudenthal, 1973). At more advanced stage, this acquires broader sense, without necessity real basis. consensus that these linked because some levels needed structure. This point view–one sees different phases developmental process–is intrinsic to most theoretical work, research, instruction done thread connects sections chapter. The various raise kinds psychological questions. If our concern general, initial questions broad, such as: How do children perceive their surroundings? What codes used processing visual information? become narrower if we confine ourselves visualization; example: abilities learning? In particular, how create documentation surroundings they interpret documentation; is, describe (verbally or visually) three-dimensional world, description?