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

CONTENTS OF CURRICULUM UNIT 19.05.08

  1. Unit Guide
  1. Introduction
  2. Learning Goals
  3. Teaching Strategies
  4. Activities
  5. Appendix
  6. Resources
  7. Endnotes

Measures and Counts and Shapes, Oh...Polyomino?

Joseph Earl Parrett

Published September 2019

Tools for this Unit:

Resources

Beckmann, Sybilla, and Sybilla Beckmann. Mathematics for Elementary Teachers with Activity Manual. 4th ed. Boston: Pearson Addison Wesley, 2011.

Good explanation of geometrical concepts as well as thoughtful activities.

"Book 9: Teaching Number through Measurement, Geometry, Algebra and Statistics." NZMaths. https://nzmaths.co.nz/sites/default/files/Numeracy/2008numPDFs/NumBk9.pdf.

Article focuses on activities about connections between numeracy and other strands of the math curriculum.

Campbell, Matthew, and Johnna Bolyard. "Why Students Need More 'Math Talk'." The Conversation. October 29, 2018. Accessed July 14, 2019. http://theconversation.com/.

The article offers an interesting examination of the importance of offering students a chance to engage in mathematical discourse.

Devlin, Keith. "Number Sense: The Most Important Mathematical Concept in 21st Century K-12 Education." Huffpost.com. January 1, 2017. https://www.huffpost.com/entry/number-sense-the-most-important-mathematical-concept_b_58695887e4b068764965c2e0.

This is an interesting source about lack of number sense and strategies to teach the skills and concepts that help build number sense.

Gojak, Linda M. "Making Mathematical Connections." National Council of Teachers of Mathematics. October 03, 2013. https://www.nctm.org/.

An article that relates the importance of making connections between pieces of content and offers tips for doing so.

Help Your Kids with Math: A Unique Step-by-step Visual Guide. NY, NY: DK Publishing, 2010.

Good visuals to use with students.

Heuvel-Panhuizen, Marja Van Den, and Kees Buys. "Young Children Learn Measurement and Geometry." Sensepublishers.com. Accessed June 15, 2019. https://www.sensepublishers.com/media/1295-young-children-learn-measurement-and-geometry.pdf.

This is an interesting article full of ideas for possible lessons.

Knapp, Brian, and Duncan McCrane. Math Matters! Size. Danbury, CT: Grolier Educational, 1999.

Includes good examples for use with students.

Long, Lynette. Painless Geometry. B.E.S. Publishing, 2018.

This is a good refresher for geometrical concepts.

Moss, Joan, Zachary Hawes, Sarah Naqvi, and Beverly Caswell. "Adapting Japanese Lesson Study to Enhance the Teaching and Learning of Geometry and Spatial Reasoning in Early Years Classrooms: A Case Study." Zdm Mathematics Education 47, no. 3 (2015): 377-90. doi:10.1007/s11858-015-0679-2.

The article shines a light on the failings of American early childhood classroom with respects to the developing of geometry and spatial reasoning skills. It does go on to recommend 4 suggestions of ways to begin rectifying this situation. Insightful.

Rangel-Mondragon, Jaime. "Polyominoes and Related Families." Mathematica Journal 9, no. 3 (2005).

This article offers in depth information about polyominoes. I found the information on the related families to be useful when considering extensions to my activities.

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