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数学反思能力是学习者在数学学习活动中对自己数学认知过程的自我意识、自我监控能力。它以反思的技能和反思的毅力为基础,并在对数学认知过程的评价、控制和调节中显示出来。它对数学认知活动起指导、支配、决定、监控的作用。对数学学习反思能力的培养,实质是培养学生数学学习的自我意识,使他们形成自我评价数学学习的习惯和能力,掌握矫正和控制数学活动过程的技能,养成良好的数学思维习惯,促进对数学思想方法的悟性。
The ability of mathematics reflection is the self-consciousness and self-monitoring ability of learners in their mathematics learning process. It is based on reflective skills and reflective perseverance, and it is shown in the evaluation, control, and adjustment of mathematical cognitive processes. It plays a role in guiding, dominating, deciding, and monitoring mathematics cognitive activities. The cultivation of mathematics learning reflection ability is to cultivate students’ self-awareness of mathematics learning, make them form their own habits and abilities to evaluate mathematics learning, master the skills of correcting and controlling the process of mathematics activities, develop good habits of mathematics thinking, and promote The understanding of mathematical thinking methods.