数学应用题的叙事及其知识社会学性质

应用题叙事是社会数理生活方式的镜像。应用题的人物关系及其话语特征表征了学生的数理生活语境与价值结构。应用题的编写机制、叙事门类与方式,折射了特定时期数学教育的目标与数学核心素养的话语体系,以及"培养什么样的人""怎样培养人"等教育学的基本母题。数学知识的社会建构主义,为解读应用题叙事的知识社会学性质提供了一种解释学框架。面向生活世界的应用题创作,需要容纳多样性生活价值指向,开放数理生活的阐释空间,从而培养学生切实解决现实问题的能力与创新精神。

The Narrative of Mathematics Word Problems and Its Characters of Knowledge Sociology

The narrative of mathematics word problems is a mirror of society’s mathematics life-style. The figure relationships and their discourse characters in word problems represent students’ mathematics life context and value structure. The compiling mechanism, narrative category, and modes in word problems reflect mathematics educational purpose and discourse system of key competencies in particular periods, as well as the fundamental themes like "what kind of talents to be cultivated" and "how to cultivate them." The social constructionism of mathematical knowledge provides a hermeneutic frame for explaining the characters of knowledge sociology of word problems. The creation of word problems facing the life-world needs to include diverse life value-orientations and open the interpreting space of mathematical life to facilitate students’ ability of problem-solving and creativity.