Inside and Outside: Spaces, Times and Language in Proof Production
the 24th Conference of the International Group for the Psychology of Mathematics Education (PME), 1, page 23--38. Hiroshima, Japan, (2000)Abstract
This paper focuses on some cognitive and didactical phenomena that feature processes and products of pupils in grades 7-12 who learned mathematical proof within technological environments. The main issues in the analysis of students' performances consist of metaphors, deictics, mental times, narratives, functions of dragging, abductions, and multivariate language to be used within an embodied cognition perspective. The learning of proof is described as a long process of interiorization through the specific and complex mental dynamics of pupils. (Contains 46 references.) (DDR)