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

CONTENTS OF CURRICULUM UNIT 19.05.09

  1. Unit Guide
  1. Introduction
  2. Rationale
  3. General Strategies
  4. Background Knowledge
  5. Quadrilaterals
  6. Related Symmetry
  7. Area and Perimeter
  8. Activities
  9. Student Resources
  10. Appendix
  11. Bibliography
  12. Endnotes

Measuring All Around, Inside and Out: A Unit about Perimeter and Area

Valerie J. Schwarz

Published September 2019

Tools for this Unit:

Bibliography

A., Van De Walle John. Elementary School Mathematics: Teaching Developmentally. Second ed. London: Longman, 1994. This book is a good resource to go to when students are having difficulty grasping a skill. It provides scaffolding and hands-on concept development.

A., Van De Walle John, and Louann H. Lovin. Teaching Student Centered Mathematics, Grades 3-5. Vol. Two. Three vols. Boston: Pearson/Allyn and Bacon, 2006. This book is excellent for providing background information, suggesting activities, and a rationale for the proper sequence of instruction.

A., Van De Walle John. Teaching Student-centered Mathematics: Grades 5-8. Vol. Three. Three vols. Allyn & Bacon, 2008. This book provided excellent background information, activities, and insight to the proper progression of learning area and perimeter and geometry.

Boaler, Jo. Whats Math Got to Do with It?: How Teachers and Parents Can Transform Mathematics Learning and Inspire Success. New York: Penguin Books, 2015. A very interesting read to provide insight into the benefits of using meaningful math tasks versus traditional teaching methods.

Chew, Terry. Singapore Math Challenge: Grade 3. Columbus, OH: Frank Schaffer Publications, 2013. This book provides excellent problems to challenge young learners.

Hoffer, A.R., & Hoffer, S.A.K. van Hiele’s based research. Acquisition of mathematics concepts and processes. Orlando: Academic Press, 1983. A nice explanation of van Hiele’s levels of Geometric Thought.

Kelemanik, Grace, Amy Lucenta, Susan Janssen. Creighton, and Magdalene Lampert. Routines for Reasoning: Fostering the Mathematical Practices in All Students. Portsmouth, NH: Heinemann, 2016. Another resource written to help teachers implement the Common Core Standards for Mathematics Practice in an effort to help all students engage in doing mathematics.

Kenney, Patricia Ann & Kouba, Vicky L. “What Do Students Know about Measurement?” Results from the sixth mathematics assessment of the National Assessment of Educational Progress (1997): 141-163. An interesting report that lends insight into math deficiencies in American students.

McCoy, Ann C., Joann Barnett, and Emily Combs. High Yield Routines. Reston: National Council of Teachers of Mathematics, 2013. This book provides ways to integrate easily the Common Core Standards for Mathematical Practice.

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