摘要
数学解题思维是解题者对特定数学问题及其求解过程由感性到理性的认识活动。作为特定的数学思维,数学解题思维由解题者基于解题实践活动将其所拥有的数学知识与个人经验予以充分的融合、内化,产生新的认知结构并据此凝结成一种有助于解题理论和解题实践相互促进的一种复合性思维,这种思维是解题者数学素养中高阶能力的表征。中小学数学解题教学所出现的若干问题本质上都与学生数学解题思维训练不足或不当有关,深化中小学数学课程与教学改革,应当注意分析数学解题思维的深层内涵,充分挖掘其作为数学解题教学的本体功能。
Thinking of mathematical problemsolving is a kind of understanding activity about specific mathemalical problems and their solving process from pemeptual to rational cognition, and it is a specific and compound mathematical thinking which occttm in the full integration and internalization of mathematical knowledge and personal experience in the practice of mathematical problem-solving. Thinking of mathematical problem-solving is a characteristic of higher-order mathematical literacy ability. A number of problems of mathematics problem-solving teaching in the primary and secondary school are essentially associated with the training of students＇ mathematical problem solving thinking which is insufficiem or improper.In order to deepen the reform of the mathematics curriculum and teaching in elementary and middle schools, we should pay attention to the analysis of connotation of mathematical problem solving thinking, and tap its ontology function for mathematics problem-solving teaching.
出处
《教育与教学研究》
2017年第10期89-95,共7页
Education and Teaching Research
基金
泰州学院教授博士基金项目"数学教师实践性知识研究"(编号:TZXY2015JBJJ003)
江苏省教育科学"十二五"规划课题"应用型本科院校教师专业发展研究"(编号:D/2015/01/130)
江苏省高校自然科学基金项目"关于拓扑空间中反射族的研究"(编号:14KJB110024)
关键词
数学解题理论
数学解题实践
数学解题思维
数学核心素养
theoryof mathematical problem-solving
practice of mathematical problem-solving
thinking of mathematical problem-solving
mathematical key competeneies
