# Produce Basket: The Effect of Experiential Fraction Pedagogy on Preservice Teacher Learning

## Keywords:

fractions, teacher preparation, Algebra Project## Abstract

Formal notation of fractions is a critical stumbling block for students, impeding their progress to acquire flexible number sense beyond integers and greatly impacting their success in algebra. Conflicting and vague definitions of fractions are a major cause of confusion and frustration among students and their teachers. A team consisting of a veteran fourth-grade teacher, a professional development leader/university instructor, a math educator, and a mathematician developed an experiential learning module called Produce Basket (PB) for elementary grades fraction learning. Since its inception 5 years ago, PB has been taught in about a dozen elementary classrooms in north central Ohio and is woven into the preservice teaching program at Ohio State University Mansfield. Given the high stakes and strong claims for this approach, there is now a pressing need to assess the strengths and weaknesses of Produce Basket’s approach. The aim of this article is to report research conducted with two classes (total n = 22) of preservice teachers that were instructed over an 8-week period with PB. The study finds initial evidence that PB improves student understanding of fractions. The authors used both quantitative and qualitative instruments to measure student understanding.

## References

CBC Radio (April 8, 2021). How failing at fractions saved the Quarter Pounder. Under the Influence (Radio show). https://www.cbc.ca/radio/undertheinfluence/how-failing-at-fractions-saved-the-quarter-pounder-1.5979468.

Davis, F. E. & West, M. M. (2000). The Impact of the Algebra Project on Mathematics Achievement. Cambridge, MA: Program Evaluation & Research Group, Lesley University.

Kieren, T. (1976). On the mathematical, cognitive, and instructional foundations of rational numbers. In R. A. Lesh (Ed.), Number and measurement (pp. 101). Columbus, Ohio: ERIC/SMEAC.

Kieren, T. (Ed.). (1980). The rational number construct–Its elements and mechanisms. Columbus, Ohio: ERIC/SMEAC.

Kieren, T. (1983). Axioms and intuition in mathematical knowledge building. Proceedings of the fifth annual meeting of the North American chapter of the International Group for the Psychology of Mathematics Education, Columbus, Ohio. 67.

Kieren, T. (1988). Personal knowledge of rational numbers: Its intuitive and formal development. Number Concepts and Operations in Middle Grades, 162.

Kieren, T. (1993). Rational and fractional numbers: From quotient fields to recursive understanding. In T.P. Carpenter, E. Fennema, T.A. Romberg (Ed.), Rational Numbers: An integration of research (pp. 49). Hillsdale, NJ: Erlbaum.

Kolb, D. A. (1984). Experiential learning: Experience as the source of learning and development (Vol. 1). Englewood Cliffs, NJ: Prentice-Hall.

Lamon, S. (1993). Ratio and Proportion Connecting Content and Children’s Thinking. Journal for Research in Mathematics Education, 24(1), 41.

Lamon, S. J. (1996). The development of unitizing: Its role in children’s partitioning strategies. Journal for Research in Mathematics Education, 27(2), 170.

Lamon, S. J. (2007). Rational Numbers and Proportional Reasoning. Second Handbook of Research on Mathematics Teaching and Learning, 1, 629.

Lamon, S. (2006). Teaching Fractions and Ratios for Understanding. Mahwah, NJ: Lawrence Erlbaum Associates.

Moses, R. & Cobb, C. (2001). Radical Equations. Beacon Press.

Wu, H. (1999). Some Remarks on the Teaching of Fractions in Elementary School. Available at: http://math.berkeley.edu/~wu/fractions2.pdf.

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## How to Cite

*Ohio Journal of School Mathematics*,

*92*(1), 42–49. Retrieved from https://ohiomathjournal.org/index.php/OJSM/article/view/9253

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Copyright (c) 2022 Deb Adams, Terri Bucci, Lee McEwan, Kevin Reinthal