Geometrical representations in the learning of two-variable functions
Geometrical representations in the learning of two-variable functions
复制标题
二变量函数学习中的几何表示
DOI：
--
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
Rafael Martínez
中科院分区：
文献类型：
--
作者：
M. Trigueros;Rafael Martínez
本研究是分析学生如何处理双变量函数项目的一部分。考虑到多变量函数在数学中的作用及其应用，这是至关重要的。我们在此报告的项目部分集中于调查学生对笛卡尔三维空间子集的概念与对双变量函数图的理解之间的关系。本文以APOS理论和Duval的符号表征理论为理论框架。我们采访了9名上过多变量微积分课程的学生。结果表明，学生的理解可能与他们对R3的图式结构和使用不同表征的灵活性有关。
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.