Relationships Between Students' Fractional Knowledge and Equation Writing

To understand relationships between students' fractional knowledge and algebraic reasoning in the domain of equation writing, an interview study was conducted with 12 secondary school students, 6 students operating with each of 2 different multiplicative concepts. These concepts are based on how students coordinate composite units. Students participated in two 45-minute interviews and completed a written fractions assessment. Students operating with the second multiplicative concept had not constructed fractional numbers, but students operating with the third multiplicative concept had; students operating with the second multiplicative concept represented multiplicatively related unknowns in qualitatively different ways than students operating with the third multiplicative concept. A facilitative link is proposed between the construction of fractional numbers and how students represent multiplicatively related unknowns.

Contributor Notes

Amy J. Hackenberg, Department of Curriculum and Instruction, Indiana University, Wright Education Building 3060, 201 N. Rose Ave., Bloomington, IN 47405; ahackenb@indiana.edu

Mi Yeon Lee, Division of Teacher Preparation, Arizona State University, Farmer Education Building 440E, 1050 S. Forest Mall, Tempe, AZ 85287; mlee115@asu.edu

(Corresponding author is Hackenberg ahackenb@indiana.edu)(Corresponding author is Lee mlee115@asu.edu)
Journal for Research in Mathematics Education

Metrics

All Time Past Year Past 30 Days
Abstract Views 21 21 5
Full Text Views 10 10 0
PDF Downloads 15 15 0
EPUB Downloads 0 0 0