TY - JOUR
T1 - Affect and meta-affect in mathematical problem solving
T2 - A representational perspective
AU - Debellis, Valerie A.
AU - Goldin, Gerald A.
N1 - Funding Information: This material is based upon work supported by the U.S. National Science Foundation (NSF) under grants no. MDR-9053597 and ESI-0333753. Any opinions, findings and conclusions or recommendations are those of the authors and do not necessarily reflect the views of the NSF.
PY - 2006/10
Y1 - 2006/10
N2 - We discuss a research-based theoretical framework based on affect as an internal representational system. Key ideas include the concepts of meta-affect and affective structures, and the constructs of mathematical intimacy and mathematical integrity. We understand these as fundamental to powerful mathematical problem solving, and deserving of closer attention by educators. In a study of elementary school children we characterize some features of emotional states inferred from individual problem solving behavior, including interactions between affect and cognition. We describe our methodology, illustrating theoretical ideas with brief qualitative examples from a longitudinal series of task-based interviews.
AB - We discuss a research-based theoretical framework based on affect as an internal representational system. Key ideas include the concepts of meta-affect and affective structures, and the constructs of mathematical intimacy and mathematical integrity. We understand these as fundamental to powerful mathematical problem solving, and deserving of closer attention by educators. In a study of elementary school children we characterize some features of emotional states inferred from individual problem solving behavior, including interactions between affect and cognition. We describe our methodology, illustrating theoretical ideas with brief qualitative examples from a longitudinal series of task-based interviews.
KW - Affect and cognition
KW - Affective structures
KW - Attitudes
KW - Beliefs
KW - Emotions
KW - Mathematical integrity
KW - Mathematical intimacy
KW - Mathematical problem solving
KW - Meta-affect
KW - Representational systems
KW - Values
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U2 - https://doi.org/10.1007/s10649-006-9026-4
DO - https://doi.org/10.1007/s10649-006-9026-4
M3 - Article
SN - 0013-1954
VL - 63
SP - 131
EP - 147
JO - Educational Studies in Mathematics
JF - Educational Studies in Mathematics
IS - 2
ER -