数学符号教学:“科学要求”“现实问题”及“优化策略”

Mathematical Symbol Teaching:Scientific Requirements,Practical Problems and Optimization Strategies

基于“精确性与多义性相结合”“具体性与抽象性相统一”“操作性与逻辑性相补充”“文化性与应用性相融通”等数学符号教学的科学要求,探讨了数学符号教学的现实问题:内涵理解不精准、书写格式不规范、表征形式不统一、背景了解不充分、迁移运用不熟练.由此提出了数学符号教学的优化策略:准确理解数学符号内涵,切实感悟数学符号要义;严格规范数学符号书写,全面提高符号学习成效;不断加强语言互译训练,有效建构数学统一表征;适当渗透数学符号文化,助力培养符号学习兴趣;灵活运用符号解决问题,充分彰显符号多元价值.

Based on the scientific requirements of mathematical symbol teaching,such as“combination of accuracy and ambiguity”,“unity of concreteness and abstractness”,“supplement of operability and logicality”and“integration of culture and application”,the practical problems of mathematical symbol teaching were discussed:inaccurate understanding of connotation,non-standard writing format,inconsistent representation form,insufficient background understanding,and unskilled transfer and application.Therefore,this paper puts forward the optimization strategies of mathematical symbol teaching:accurately understand the connotation of mathematical symbols,and effectively understand the essence of mathematical symbols;strictly standardize the writing of mathematical symbols and comprehensively improve the effect of symbol learning;strengthen the training of language translation continuously and construct the unified representation of mathematics effectively;infiltrate the mathematical symbol culture appropriately to help cultivate the interest in symbol learning;and flexibly use symbols to solve problems and fully demonstrate the multivariate values of symbols.