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

CONTENTS OF CURRICULUM UNIT 19.05.05

  1. Unit Guide
  1. Introduction
  2. Rationale
  3. Measuring Distance as Counting
  4. Array Structure of a Rectangle
  5. Area and Perimeter
  6. Measuring with Manipulatives and Addressing Misconceptions
  7. Gardening
  8. Cooperative Learning
  9. Math Talks
  10. Spatial Awareness
  11. Classroom Activities
  12. Appendix
  13. Annotated List of Resources
  14. Notes

Pentomino Garden: An Explorative Unit in Measurement, Manipulatives, and Gardening

Jamie Alexandra Griffin

Published September 2019

Tools for this Unit:

Annotated List of Resources

Boaler, Jo. Mathematical Mindsets: Unleashing Students’ Potential through Creative Math, Inspiring Messages and Innovative Teaching: This book focuses on helping students develop a positive math mindset. It explores how many teachers have math anxiety themselves, and provides ideas on how to overcome this. Finally, this book provides many activities to inspire students in math.

Cass, Mike. “Effects of Manipulative Instruction on Solving Area and Perimeter Problems by Students with Learning Disabilities”: This journal article explores the benefits of manipulatives used by students who need differentiation.

Eckersley, Sian. “Spatial Awareness.” Occupational Therapy for Children, occupationaltherapyforchildren.over-blog.com/article-spatial-awareness-108726104.html.: This online blog discusses what spatial awareness is and why it is important for children to develop this type of awareness.

Elliott, Andrew C. A. Is That a Big Number? Oxford University Press, 2018.: This book explores mathematics in a way I have never thought about before. Elliott offers explanations to mathematical ideas in new ways and made them much easier for me to understand.

“Find Textbook Support Materials.” Houghton Mifflin Education Place, www.eduplace.com/. This website offers curricular resources and lesson plan ideas for teachers.

Howe, Roger. “Three Pillars of First Grade Mathematics, and Beyond.” Mathematics Curriculum in School Education Advances in Mathematics Education, 2014, pp. 183–207., doi:10.1007/978-94-007-7560-2_10.: This short essay explains the three components that students must learn in first grade and how they are interconnected.

“Mathematics Standards.” Mathematics Standards | Common Core State Standards Initiative, www.corestandards.org/Math/. The Common Core standards can be read on this website.

“Polyomino.” Wikipedia, Wikimedia Foundation, 16 Aug. 2019, en.wikipedia.org/wiki/Polyomino.: This wikipedia page explains what a polyomino is.

“Ross Woodward.” Ross Woodward, 18 June 2019, rosswoodwardschool.org/.: This is the website for my school which shares valuable information about our approaches.

Zakaria. “The Effects of Cooperative Learning on Students' Mathematics Achievement and Attitude towards Mathematics.” Journal of Social Sciences, vol. 6, no. 2, 2010, pp. 272–275., doi:10.3844/jssp.2010.272.275.This journal article explores why cooperative learning is critical in mathematics.

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