
06131760
j
2013a.00159
Varghese, Thomas
Concept maps to assess student teachers\rq\ understanding of mathematical proof.
Math. Educ. 12, No. 1, 4968 (2009).
2009
,
EN
B50
E59
D69
research
preservice teacher education
student teachers
knowledge
understanding
proofs
proving
foundations of mathematics
subject content knowledge
conceptions
concept maps
tree maps
systems maps
spider maps
graphical representations
reasoning
justification
Balacheff\rq s taxonomy of proofs
Summary: This study reports the analysis of concept maps dealing with ``mathematical proof," as generated by a group of student teachers. The researcher examined the type of concept map generated, the number of key terms utilized in the construction of the map, and the multiplicity of relationships indicated among those key terms/concepts. The conceptual understanding represented within the concept map was then mapped onto Balacheff\rq s taxonomy of proofs. The lack of sophistication in the concept maps produced may point towards limitations in student teachers\rq\ understanding of mathematical proof. Since teacher\rq s conceptions of proof inevitably influences both the role and nature of the instruction of mathematical proof within a mathematics classroom, limited knowledge in this core area of mathematics may typically prompts feelings of uncertainty and a lack of confidence when it comes to teaching this concept.