数学特征视角下的核心素养层次分析
Analysis of Key Competencies Levels from the Perspective of Mathematical Characteristics
  
DOI:
中文关键词:  数学核心素养;数学特征;层次分析
英文关键词:mathematical key competencies, mathematical characteristics, analysis of levels
基金项目:本文系天津市哲学社会科学规划重点课题“立德树人背景下中学生学科核心素养测评——以语数外为例”(项目编号:TJJX16-007);天津市教育科学“十三五”规划课题“‘幼小’‘小初’学段衔接的课程建设实践研究”(项目编号:BE3330)的研究成果。
作者单位
吴立宝 天津师范大学 
王光明 天津师范大学 
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中文摘要:
      《普通高中数学课程标准(修订稿)》中明确以“素养”立意,提出六个“数学核心素养”。对其进行分析发现:“数学抽象、逻辑推理与数学建模”是基于数学的三大基本特征,对应数学的三大基本思想,指向数学的所有领域;“直观想象”是构建数学建模的基本途径,是进行逻辑推理与数学抽象的思维基础;“数学运算”是构成抽象数学结构的基本要素,也是数学推理的一种重要形式;“数据分析”是大数据时代公民的基本素养,主要指向于统计与概率内容。
英文摘要:
      The revisions of high school mathematics curriculum standards concentrate on “Key Competencies”, which contains six competencies that are mathematical abstraction, logical reasoning, mathematical modeling, intuitive imagination, operation and data analysis. Mathematical abstraction, logical reasoning and mathematical modeling correspond with the three basic mathematical thoughts, pointing to mathematics all areas. Intuitive thought is the basic way to build mathematical modeling and the thinking origin of logical reasoning and mathematical abstract. Mathematics is the fundamental element of abstract mathematical structure, which is also an important form of mathematical reasoning. Data process is the necessary competency for citizens in the big data era, which mainly points to the contents of “statistics and probability” in mathematics.
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