Case Studies of Arithmetic and Algebraic Reasoning in K–2 Students

• In Event: 46.086 - Roundtable Session 16
  In Roundtable Session: 46.086-5 - Investigations Into Elementary Students' Mathematical Thinking

Abstract

We argue that students are ready to use algebraic thinking strategies from the beginning of formal education. We will present video clips and analyses of semi-clinical individual interviews with a kindergarten, a first grade, and a second grade student working through a linear function task. The analysis demonstrates that knowledge of the most basic arithmetic operation, addition, can support productive algebraic exploration. In turn, functions provide a fruitful context for students to build their computational proficiency. These three cases highlight how arithmetic and algebra are mutually supporting ventures in the mathematical education of young students.

Authors

• Katharine B. Sawrey, Tufts University

• Barbara M. Brizuela, Tufts University

• Maria Blanton, TERC

• Angela Gardiner, Tahoe Environmental Research Center