Recommendations for Teaching Division with Remainders

Author:
Joshua Lerner Peirce School of International Studies, Chicago Public Schools, Chicago, IL

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Using lesson study, a team of educators teaches a carefully designed unit on division 
with remainders to a class of third-grade students.

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Mathematics Teacher: Learning and Teaching PK-12
  • Fischbein, Efraim, Maria Deri, Maria Sainati Nello, and Maria Sciolis Marino . 1985. “The Role of Implicit Models in Solving Verbal Problems in Multiplication and Division.” Journal for Research in Mathematics Education 16, no. 1 (January): 317.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Fujii, Toshiakira, and Shigeru Iitaka . 2011. Atarashii Sannsu (Elementary School Mathematics) Grade 3A. Tokyo: Tokyo Shoseki.

  • Huinker, Deann. 2018. “Principles to Actions: Moving to a Framework for Teaching Mathematics.” Teaching Children Mathematics 25, no. 3 (November/December): 13337.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Lamberg, Teruni, and Lynda R. Wiest . 2012. “Conceptualizing Division with Remainders.” Teaching Children Mathematics 18, no. 7 (March): 42633.

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    • Search Google Scholar
    • Export Citation
  • Lewis, Catherine, and Jacqueline Hurd . 2011. Lesson Study Step by Step: How Teacher Learning Communities Improve Instruction. Portsmouth, NH: Heinemann.

    • Search Google Scholar
    • Export Citation
  • Li, Yeping, and Edward A. Silver . 2000. “Can Younger Students Succeed Where Older Students Fail? An Examination of Third Graders’ Solutions of a Division-with-Remainder (DWR) Problem.” The Journal of Mathematical Behavior 19, no. 2 (June): 23346.

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    • Search Google Scholar
    • Export Citation
  • National Council of Teachers of Mathematics (NCTM). 2014. Principles to Actions: Ensuring Mathematical Success for All. Reston, VA: NCTM.

    • Search Google Scholar
    • Export Citation
  • National Governors Association Center for Best Practices (NGA Center) and Council of Chief State School Officers (CCSSO). 2010. Common Core State Standards for Mathematics. Washington, DC: NGA Center and CCSSO. http://www.corestandards.org.

    • Search Google Scholar
    • Export Citation
  • Pratt, Sarah S., Tina M. Lupton, and Kerri Richardson . 2015. “Division Quilts: A Measurement Model.” Teaching Children Mathematics 22, no. 2 (September): 1029.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Takahashi, Akihiko, and Makoto Yoshida . 2004. “Ideas for Establishing Lesson-Study Communities.” Teaching Children Mathematics 10, no. 9 (May): 43643.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Timmerman, Maria A. 2014. “Making Connections: Elementary Teachers’ Construction of Division Word Problems and Representations.” School Science and Mathematics 114, no. 3 (March): 11424.

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    • Search Google Scholar
    • Export Citation
  • Van de Walle, John A., Karen Karp, and Jennifer M. Bay-Williams . 2010. Elementary and Middle School Mathematics: TeachingDevelopmentally. Boston, MA: Allyn and Bacon.

    • Search Google Scholar
    • Export Citation
  • Watanabe, Tad. 2014. “Transformation of Japanese Elementary Mathematics Textbooks: 1958-2012.” In Transforming Mathematics Instruction, edited by Y. Li, E. A. Silver, and S. Li, pp. 199–215. Switzerland: Springer International Publishing. https://link.springer.com/chapter/10.1007%2F978-3-319-04993-9_12#citeas.

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