Decimal Dilemmas: Interpreting and Addressing Misconceptions

Authors

  • Cindy Jong University of Kentucky
  • Jonathan N Thomas University of Kentucky
  • Molly H Fisher University of Kentucky
  • Edna O Schack Morehead State University
  • Meredith A Davis University of Kentucky
  • Mallory E Bickett University of Kentucky

Abstract

In this article, a student's misconception of multiplication and division of decials is analyzed and findings are presented from preservice teachers’ interpretation of that misconception. The authors then highlight common decimal misconceptions, outline two strategies for addressing such misconceptions in the classroom, and include final remarks connecting the professional noticing framework with addressing misconceptions in mathematics.

Author Biography

Cindy Jong, University of Kentucky

Cindy Jong is an associate professor of mathematics education in the Department of STEM Education at the University of Kentucky.

References

Author, 2016.

Common Core State Standards Initiative (CCSSI). (2010). Common Core State Standards for Mathematics. Last accessed on June 30, 2012 from: http://www.corestandards.org/assets/CCSSI_Math%20Standards.pdf

Empson, S.B., & Levi, L. (2011). Extending children’s mathematics: Fractions and Decimals. Portsmouth, NH: Heinemann.

Griffin, L. B. (2016). Tracking decimal misconceptions: Strategic instructional choices. Teaching Children Mathematics. 22 (8), 488-494.

Jacobs, V.R., Lamb, L.C., & Philipp, R.A. (2010). Professional noticing of children’s mathematical thinking. Journal for Research in Mathematics Education. 41, 169-202.

Karp, K. S., Bush, S.B., &Dougherty, B.J. (2014). 13 Rules that expire. Teaching Children Mathematics. 21(1), 18-25.

National Council of Teachers of Mathematics (NCTM). (2014). Principles to Actions: Ensuring Mathematical Success for All. Reston, VA: NCTM.

Tatto, M.T., Schwille, J, Senk, S.L., Ingvarson, L, Rowley, G, Peck, R, Bankov, K, Rodriguez, M, & Reckase, M. 2012. Policy, practice, and readiness to teach primary and secondary mathematics in 17 countries: Findings from the IEA Teacher Education and Development Study in Mathematics (TEDS-M). Amsterdam: IEA.

Yeong, J. I., Dougherty, B. J., & Berkaliev, Z. (2015). Units matter. Teaching Children Mathematics 22(3), 170-176.

Downloads

Published

2017-05-08

How to Cite

Jong, C., Thomas, J. N., Fisher, M. H., Schack, E. O., Davis, M. A., & Bickett, M. E. (2017). Decimal Dilemmas: Interpreting and Addressing Misconceptions. hio ournal of chool athematics, 75(1). etrieved from http://voyager.janeway.systems:9999/index.php/OJSM/article/view/5731

Issue

Vol. 75: Spring 2017

Section

Articles

License

By submitting this agreement, the author hereby grants to The Ohio State University, on behalf of its University Libraries