Situated Intuition And Activity Theory Fill The Gap

作者: Julian Williams , Liora Linchevski , Bilha Kutscher

DOI: 10.1007/978-0-387-71579-7_8

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摘要: We report here an instructional method designed to address the cognitive gaps in children’s mathematical development where operational conceptions give rise structural conceptions, such as when subtraction process leads negative number concept. The involves linking of and object through semiotic activity with models which first record intuitive processes on objects situations outside school mathematics — invoking situated intuition subsequently mediate new activity, signs, voice. ground this teaching experiments focused (i) integers (ii) algorithms for two-digit subtraction. conceptualise modelling transformation outside-school knowledge into mathematics, discuss opportunities difficulties involved.

参考文章(52)
Michael H. G. Hoffmann, Johannes Lenhard, Falk Seeger, Grounding Mathematics Education Activity and Sign. Grounding mathematics education. pp. 1- 7 ,(2005) , 10.1007/0-387-24270-8_1
Michael Cole, Yrjö Engeström, A cultural-historical approach to distributed cognition Distributed Cognitions:Psychological and Educational Considerations. pp. 1- 46 ,(1993)
Luis Radford, The Semiotics of the Schema Springer, Boston, MA. pp. 137- 152 ,(2005) , 10.1007/0-387-24270-8_12
Terttu Tuomi-Gröhn, Yrjö Engeström, Between school and work: New perspectives on transfer and boundary-crossing Pergamon , In Association with the European Association for Learning and Instruction. ,(2003)
Paul E. Heckman, Julian Weissglass, Contextualized Mathematics Instruction : Moving Beyond Recent Proposals for the learning of mathematics. ,vol. 14, pp. 29- 33 ,(1994)
J S. Williams, Gestures, signs and mathematisation In: PME-29 published proceedings (details from JSW); 2006.. ,(2006)