A Study on the Learner's Knowledge System and Activation of it in a Figure and Space Learning : Two Means of Objectification in Constructing the Knowledge System and a Semantic Network

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  • 図形・空間学習における学習者の知識体系とその活性化に関する研究 : 知識体系の構成に向かう際の2つの対象化と意味ネットワーク

Abstract

<p>　　 The purpose of this paper is to identify two means of objectification -semiotics and semantic- in constructing the knowledge system, to describe a process of generalization with three steps -realistic, contextual, semiotic-, and to represent the constructed knowledge system as a semantic network. From a cognitive linguistics perspective, it is considered that mathematics is regarded as an opened system and natural language and gesture have an important role in learning.</p><p>　　 The roles of natural language identified through a series of lesson observation are following:</p><p>　(a) Linguistics Template</p><p>　(b) Label and Activator</p><p>Specially in the point (b), although natural language has ambiguity (polysemy, diversity, …), it as a label makes learners activate a naive idea. And, considering the ambiguity in communicating with others, learning would progress. Not only the semiotic means of objectification but the semantic means is important for progress of generalization and it is realized by asking, for example "What is the center?", that the semantic content of natural language with two roles is clarified. In this paper, 7th students had understood a circle as a symmetrical figure and a plane figure separately before it is realized that the axis of symmetry is a diameter of a circle too.</p>

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Details 詳細情報について

  • CRID
    1390845713042968704
  • NII Article ID
    110009498583
  • DOI
    10.24529/jasme.13.0_37
  • ISSN
    24333034
    13412620
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
    • KAKEN
  • Abstract License Flag
    Disallowed

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