Scholarlink

This chapter reports on a particular way of relating to the mathematics of the past in mathematics education, with a special influence on the history of mathematics research, and frames a historical and critical relation to the historical past; for this reason, the construction of mathematical knowledge and thinking are influenced by the context. To illustrate, two propositions of Apollonius of Perga’s Conics are studied through contextual and textual analyses to make mathematical activity visible as a human activity. The result is an epistemological hypothesis based on the actions of individuals in the space, describing and reconstructing their thinking and mathematical activity.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

The Epistemological Role of Spatial Thinking in the Construction of Conic Sections. A Social Approach

  • 章节

  • 发表日期：

    2025年

查看全文
  • Luis Carlos Vargas-Zambrano,
  • Gisela Montiel-Espinosa

摘要

This chapter reports on a particular way of relating to the mathematics of the past in mathematics education, with a special influence on the history of mathematics research, and frames a historical and critical relation to the historical past; for this reason, the construction of mathematical knowledge and thinking are influenced by the context. To illustrate, two propositions of Apollonius of Perga’s Conics are studied through contextual and textual analyses to make mathematical activity visible as a human activity. The result is an epistemological hypothesis based on the actions of individuals in the space, describing and reconstructing their thinking and mathematical activity.