This study is part of a project concerned with the analysis of how students work with two-variable functions. This is of fundamental importance given the role of multivariable functions in mathematics and its applications. The portion of the project we report here concentrates on investigating the relationship between students’ notion of subsets of Cartesian three-dimensional space and the understanding of graphs of two-variable functions. APOS theory and Duval’s theory of semiotic representations are used as theoretical framework. Nine students, who had taken a multivariable calculus course, were interviewed. Results show that students’ understanding can be related to the structure of their schema for R³ and to their flexibility in the use of different representations.
- RT @A2SchoolsSuper: We ❤️ #TreeTown @A2schools #InspireA2 #A2gether Ann Arbor named best place to live in America - again https://t.co/yRrH… 6 months ago
- RT @SpringerEdu: Teachers’ talk about the mathematical practice of attending to precision link.springer.com/article/10.100… 6 months ago
- RT @SpringerEdu: RT @authorzone: Discover what English-language #SpringerNature books topped 2017’s list in downloads, citations, and menti… 6 months ago
- Sharing some thoughts about the process of settling down in Ann Arbor. #Sabbatical fulbright.no/grantee-experi… 10 months ago
- RT @velonews: Time trials can be a snooze, but the elite men’s ITT championship race was quite the opposite. velonews.com/2017/09/news/b… 10 months ago