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Experiencing Change: The Mathematics of Change in Multiple Environments

Tracy Noble, Ricardo Nemirovsky, Tracey Wright, Cornelia Tierney 

January 2001, Volume 32, Issue 1, Page 85

Abstract:
In the SimCalc project and in the Mathematics of Change group at TERC, we are investigating how students from elementary through high school learn about the mathematics of change in multiple mathematical environments. As part of this research, we studied 5th-grade students doing mathematics-of-change activities from the Investigations curriculum (Russell, Tierney, Mokros, & Economopoulos, 1998) in multiple mathematical environments. This experience has led us to question the view that students connect experiences in different environments by recognizing a core mathematical structure that is common to all environments. We propose an alternative perspective on learning, in which students make mathematical environments into lived-in spaces for themselves and connect environments through the development of family resemblances across their experiences.  

Keywords:
Grade 5
Algebraic Patterns
Article
Curriculum Developer
Curriculum
Teacher
Manipulatives
Professional Development / Teacher Education
Reasoning and Proof
Theory
Shapes
Number Patterns