摘要
基于对已有模式的检视分析和我们的实证研究与理论思考,本文构建了数学问题解决过程的动态系统模式.此模式的主要创新之处在于:①将数学问题解决过程细分为具有数学学科特点、彼此联系密切的八个阶段;②解析出数学认知结构对各阶段的认知作用方式与实现机制;③刻画出各认知因素与非认知因素及外部环境因素对数学问题解决过程的作用方式;④揭示出数学问题解决过程模式的本质是双循环与监控的动态系统.这一模式较好地弥补了已有模式的不足,客观地模拟与解释了数学问题解决的一般过程.
Based on analysis of known pattern, our practical research and theoretical thinking, the paper sets up a dynamic system pattern of mathematical problem- solving process. The pattern＇ creativity lies in： ①dividing mathematical problem - solving process into eight stages. ②analyzing acting way of mathematical cognitive structure to every stage and completion mechanism. ③depicting the acting way of cognitive factors, non - cognitive factors and external environment factors to mathematical problem- solving process. ④revealing the nature that mathematical problem - solving process is a dynamic system of dual - circulation and control. The given pattern simulates and explains mathematical problem - solving process objectively.
出处
《河南教育学院学报（自然科学版）》
2006年第1期17-21,共5页
Journal of Henan Institute of Education(Natural Science Edition)
基金
中国教育学会"十五"科研规划课题(学会[2003]21号)
河南省"十五"教育科学规划重点课题(2002-JKGHA-006)
暨河南省高校青年骨干教师资助课题(豫教高[2003]100号)
关键词
数学
问题解决
过程
动态系统
模式
mathematics
problem- solving
process
dynamic system
pattern
