Titlebook: Symbolizing, Modeling and Tool Use in Mathematics Education; Koeno Gravemeijer,Richard Lehrer,Lieven Verschaffe Book 2002 Springer Science

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Students’ Criteria for Representational Adequacyarly in the context of design. Data from our study support all these hypotheses, with qualifications. Most unequivocally, students seem to have a strong, uninstructed, yet scientifically cogent competence to judge the quality of representations.

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Preamble: From Models to Modelingling in the mathematics education community. This history describes a shift from the use of symbols and models as embodiments of mathematical concepts and objects in instructional practice, design and theory, to explorations in semiotics as a central field of interest. Underlying this shift is a shi

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Symbolizing Space into Being-scale space—their school’s playground. With the assistance of their teacher, the children (8 and 9 years of age) progressively ‘mathematized’ this familiar space. They initially produced drawings featuring playground equipment, but ultimately generated re-descriptions of the playground as sets of l

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