TY - JOUR
ID - 1/2/061.glasersfeld
PY - 2006
TI - A Constructivist Approach to Experiential Foundations of Mathematical Concepts Revisited
AU - Glasersfeld E. von
N2 - Purpose: The paper contributes to the naturalization of epistemology. It suggests tentative itineraries for the progression from elementary experiential situations to the abstraction of the concepts of unit, plurality, number, point, line, and plane. It also provides a discussion of the question of certainty in logical deduction and arithmetic. Approach: Whiteheadâ€™s description of three processes involved in criticizing mathematical thinking (1956) is used to show discrepancies between a traditional epistemological stance and the constructivist approach to knowing and communication. Practical implications: Reducing basic abstract terms to experiential situations should make them easier to conceive for students.
UR - http://constructivist.info/1/2/061.glasersfeld
SN - 1782348X
JF - Constructivist Foundations
VL - 1
IS - 2
SP - 61
EP - 72
U1 - conceptual
U2 - Cognitive Science
U2 - Mathematics
U2 - Psychology
U3 - Radical Constructivism
KW - foundations of mathematics
KW - concept formation
KW - conceptual semantics
ER -