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Rodriguez, Jon-Marc G.; Jones, Steven R. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2021
In this paper, we describe a framework for characterizing students' graphical reasoning, focusing on providing an empirically-based list of students' graphical resources. The graphical forms framework builds on the knowledge-in-pieces perspective of cognitive structure to describe the intuitive ideas, called "graphical forms", that are…
Descriptors: Graphs, Mathematical Logic, College Students, Calculus
Jones, Steven R. – Mathematics Teacher, 2013
Calculus instruction is an important topic for high school and college teachers alike. A prime target for attention is integration, which, unfortunately, students too often treat as a rote procedure. Understanding the integral better will support students' application of their mathematical knowledge to science, technology, and engineering…
Descriptors: Mathematics Instruction, Calculus, Mathematical Concepts, Teaching Methods