Evolution and Use of Symbols in Undergraduate Mathematics: Theory and Practice

我们建议在马萨诸塞大学达特茅斯分校举办一场为期一年的研讨会，聚集一批在本科和高中数学中研究符号认知的开创性思想家，目的是在这一新的代数研究领域建立一个研究议程。数学中的符号认知涉及到数学符号的进化和使用，特别是它们的实践性方面--符号在帮助人们做数学和帮助学习者学习本科数学方面所起的特定的认知和交际作用。这些会议的主要影响将影响到大学数学入门教师、高中数学教师和数学教育研究人员。

We PI proposes a symposium over the course of one year, to be held at the University of Massachusetts Dartmouth, that brings together a select group of seminal thinkers in symbolic cognition in undergraduate and high school mathematics, for the purpose of establishing a research agenda in this new line of inquiry in Algebra. Symbolic cognition in mathematics is concerned with the evolution and use of mathematical symbols, especially their practical side - the specific cognitive and communicative roles that symbols play in helping people to do mathematics and learners to learn undergraduate mathematics. The major impact of these meetings will affect university teachers of introductory mathematics, high school mathematics teachers and researchers in mathematics education.