Perimeter, Area, Volume, and All That: A Study of Measurement

CONTENTS OF CURRICULUM UNIT 19.05.07

  1. Unit Guide
  1. Measurement
  2. Measurement misconceptions
  3. Context
  4. Measurement rationale
  5. Concept of a rectangular array
  6. Measurement Nets
  7. Geometric form of rectangular prisms
  8. Activities
  9. Appendix on implementing district standards
  10. Bibliography

Area, Surface Area and Volume: From Misconceptions to Skyscrapers

Ricardo Moreno

Published September 2019

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Bibliography

  1. Battista, M. T., & Clements, D. H. (1998). Students', understandings of three-dimensional cube arrays: Findings from a research and curriculum development (Pp. 227-248), Mahwah, NJ: Erlbaum.
  2. Carle, Susan M. (1993). Student Held, Misconceptions on Area and Perimeter of Rectangles, the University of Massachusetts Boston.
  3. Dorko, A., Speer, N. (2013). Calculus students', understanding of volume. In S. Brown, G., Karakok, K., Roh, & Oehrtman (Eds.). Proceedings of the 17th Annual Conference on Research in Undergraduate Mathematics Education (Pp. 190-204). Denver, CO: University of Northern Colorado.
  4. “Richard Edwards Magnet Elementary.” Chicago Public Schools, https://cps.edu/Schools/Find_a_school/Pages/findaschool.aspx accessed on May 23, 2019.
  5. Lehrer, R. (2003). In J. Kilpatrick, W. G. Martin, & D. E. Schifter (Eds.), a research companion to principles and standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.
  6. Math Standards-Geometry-6th Grade. Math Common Core State Standards Initiative, http://www.corestandards.org/math6th accessed on May 23, 2019.
  7. NCRECE: In Focus Increasing knowledge in early childhood, July 2010 Vol.1, Issue 5 (National Center for Research on Early Childhood Education) Investigations in Mathematics Learning © the Research Council on Mathematics Learning Fall Edition 2015, Volume 8, Number 1
  8. National Council of Teachers of Mathematics-NCTM (website) https://www.nctm.org/Standards-and-Positions/Position-Statements/Strategic-Use-of-Technology-in-Teaching-and-Learning-Mathematics/ accessed on May 25, 2019.
  9. Thompson and Preston, Integrating Measurement across the Curriculum, 2004.

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