Transitions in the Conception of Number: From Whole Numbers to Rational Numbers to Algebra

CONTENTS OF CURRICULUM UNIT 23.03.02

  1. Unit Guide
  1. Introduction
  2. Rationale
  3. Content
  4. Teaching Strategies
  5. Classroom Activities
  6. Resources
  7. Appendix on Implementing District Standards
  8. Bibliography
  9. Notes

Using a Length Model of Fractions to Compare Fractions

Irene Jones

Published September 2023

Tools for this Unit:

Bibliography

“Arizona Mathematics Standards - Arizona Department of Education.” Math Final 03 Third Grade Standards 4_2_2018 PDF. Accessed August 5, 2023. https://www.azed.gov/sites/default/files/2016/12/Math%20Final%2003Third%20Grade%20Standards%204_2_2018.pdf?id=58546f36aadebe13008c1a27.

Barta, James, Ron Eglash, and Cathy A. Barkley. Math is a Verb: Activities and Lessons from Cultures Around the World. Reston, VA: The National Council of Teachers of Mathematics, Inc., 2014.

“Fraction.” Wikipedia, the free encyclopedia, July 15, 2023. https://en.wikipedia.org/wiki/Fraction.

Gloria Rebecca Gomez, Arizona Mirror March 4. “A ‘Punitive Model’ for Failing Schools: GOP Proposal Would Let Charters Take Over District Schools.” Arizona Mirror, March 4, 2022. https://www.azmirror.com/2022/03/04/a-punitive-model-for-failing-schools-gop-proposal-would-let-charters-take-over-district-schools/#:~:text=The%20move%20is%20an%20extension,t%20improve%20on%20their%20own.

“Home.” Beyond Textbooks, August 4, 2023. https://www.beyondtextbooks.org/.

Howe, Roger. “Part III: A Collection of Authentic Expository Mathematical Text.” Essay. In Engaging with Text in Mathematics, edited by Christyn Jackson-Bernard, Carol Mosesson-Teig, Efiom Ukoidemabia, Nicola Vitale, and Beth Wehner, 23–77. New York, NY: NYC Department of Education, 2021.

“K-12 School Improvement Services.” Instructional Empowerment, July 18, 2023. https://instructionalempowerment.com/.

Roessel, Monty. Kinaalda: A Navajo Girl Grows Up. Minneapolis: Lerner Publ. Group, 2007.

Tsosie, Jennifer. Navajo Sash. Personal, July 17, 2023.

Vallejo, Pedro, and Vincent Werito. Transforming Diné Education Innovations in pedagogy and Practice. Tucson: The University of Arizona Press, 2022.

Vandewalle, John Arthur, Karen S. Karp, and Jennifer M. Bay-Williams. Elementary and Middle School Mathematics Teaching Developmentally. 6th ed. Boston, Mass: Pearson, 2013.

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