数学的問題解決関連・解決過程
- Artzt, A. F. & Armour-Thomas, E. (1997). Mathematical problem solving in small group: Exploring the interplay of students' metacognitive behaviors, perceptions, and ability levels. Journal of Mathematical Behavior, 16 (1), 63-74.
- Cifarelli, V. V. (1997). The development of mental representations as a problem solving activity. Journal of Mathematical Behavior, 16 (3).
(一連の類似の問題を解く間に、以前の解決活動が組織化、内化され、次の活動で用いられる様子を描く)
- Yusof, Y. B. M. & Tall, D. (1996). Conceptual and procedural approaches to problem-solving. In L. Puig & A. Gutierrez (Eds.), Proceedings of the 20th Conference of the International Group for the Psychology of Mathematics Education (vol. 4, pp. 3-10). Valencia, Spain.
- Taplin, M. (1995). An exploration of persevering students' management of problem solving strategies. Focus on Learning Problems in Mathematics, 17 (1), 49-63.
(成功的解決では、行き詰まりの後、同じデータに異なるアプローチを用いる傾向のあることを示す)
- Rabinowitz, M. & Woolley, K. E. (1995). Much ado about nothing: The relation among computational skill, arithmetic word problem comprehension, and limited attentional resources. Cognition and Instruction, 13 (1), 51-71.
(一段階の文章題で意味構造と数の大きさを変えたものを用いることで、文章題の理解と計算の実行とは並列よりも系列的に処理されるモデルの方が適切なことを示す。計算などの処理の自動化が理解を促進しないことを述べる。)
- Meira, L. (1995). The microevolution of mathematical representations in children's activity. Cognition and Instruction, 13 (2), 269-313.
(一次関数的な問題の解決において、解決者が表などの表現を作る過程を詳しく調べたもの。表現と活動が互いに作り合う関係にあることなどが示される。)
- Boulter, D. R. & Kirby, J. R. (1994). Identificaton of strategies used in solving transformation geometry problems. Journal of Educational Research, 87 (5), 298-303.
- Lawson, M. J. & Chinnappan, M. (1994). Generative activity during geometryproblem solving: Comparison of the performance of high-achieving and low-achieving high school students. Cognition and Instruction, 12 (1), 61-93.