GPS: Iterating and Partitioning

Author:
Daniel K. Siebert Brigham Young University, Provo, Utah

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and
Monica G. McCleod Mathematics Instructional Coach, Detroit, Michigan

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Volume/Issue:
Volume 116: Issue 1
Page(s):
56–59
DOI:
https://doi.org/10.5951/MTLT.2022.0271
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Subjects:
Grade(s) or Audience, All grades PK-12, Math Topic, Algebra, Proportional Reasoning, Number, Number & Operations, Rational Numbers, Other Topic, Teaching and Learning Instruction, Conceptual Development, Mathematical Practices, Reason abstractly and quantitatively

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.

Supplementary Materials

    • GPS PK–2 How Many Doughnuts? (132 KB)
    • GPS 3–5 Candy Bars for Lunch (43.3 KB)
    • GPS 6–8 Sweet and Sour Sauce (122 KB)
    • GPS 9–12 Rice at Large (184 KB)
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Mathematics Teacher: Learning and Teaching PK-12
Cover Mathematics Teacher: Learning and Teaching PK-12

  • Lobato, J., & Ellis, A. (2010). Developing essential understanding of ratios, proportions, and proportional reasoning for teaching mathematics: Grades 6–8. National Council of Teachers of Mathematics.

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  • National Governors Association Center for Best Practices and Council of Chief State School Officers. (2010). Common core state standards for mathematics. http://www.corestandards.org

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  • Siebert, D., & Gaskin, N. (2006). Creating, naming and justifying fractions. Teaching Children Mathematics, 12(8), 394–400. https://doi.org/10.2307/41198803

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  • Wagner, D., & Davis, B. (2010). Feeling number: Grounding number sense in a sense of quantity. Educational Studies in Mathematics, 74(1), 39–51. https://doi.org/10.1007/s10649-009-9226-9

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Copyright:
© 2023 by National Council of Teachers of Mathematics, Inc.
Page Count:
4
Article Category:
Research Article
Print Publication Date:
01 Jan 2023
Online Publication Date:
Jan 2023
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