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

CONTENTS OF CURRICULUM UNIT 19.05.01

  1. Unit Guide
  1. Introduction
  2. Rationale
  3. Academic context and learners
  4. Learning Goals of the Unit
  5. Background knowledge for teachers
  6. The sequence of the Unit and Implementation
  7. Teaching strategies
  8. Classroom Activities
  9. Bibliography
  10. Endnotes
  11. Appendix

A Pathway to Understanding Area and Perimeter

Lianne Aubert Sanfeliz

Published September 2019

Tools for this Unit:

Bibliography

Oklahoma School Testing Program - Login. https://oklahoma.measuredprogress.org/. This is the website of the Oklahoma Department of Education to find information about state testing results.

/@eurekamath. "Read, Draw, Write: A Better Strategy for Problem Solving." Medium. May 05, 2015. https://medium.com/eureka-math/read-draw-write-a-better-strategy-for-solving-746300f5cdb8. Information about the RDW problem-solving strategy.

Amidon, Joel, Ann Monroe, and Mark Ortwein. "Planning & Teaching Strategies." Lumen. https://courses.lumenlearning.com/educationx92x1/chapter/project-based-learning/. Description of Project-based learning strategies.

Beckmann, Sybilla. Mathematics for Elementary Teachers with Activities. MTM, 2018.

"Cooperative Learning Strategies." National Council of Teachers of Mathematics.

https://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/Blog/Cooperative-Learning-Strategies/. This book is a useful resource for teachers. The selected chapter

describes cooperative learning strategies.

Huang, Hsin-Mei E., and Klaus G. Witz. "Children's Conceptions of Area Measurement and

Their Strategies for Solving Area Measurement Problems." Journal of Curriculum and Teaching.

http://www.sciedu.ca/journal/index.php/jct/article/view/2041/1230. A study of children’s

understanding of the relationship between multiplication, and area, and the differences between

area and perimeter.

Machaba, M. "The Concepts of Area and Perimeter: Insights and Misconceptions of Grade 10

Learners." Pythagoras. https://pythagoras.org.za/index.php/pythagoras/article/view/304/476.

Analysis of misconceptions students may have when learning about área and perimeter. The

study focuses on 10th graders but includes information applicable to the elementary level.

"Magnet Schools." Tulsa Public Schools. https://www.tulsaschools.org/parents-

students/enrolltransfer/magnet-schools. Information about magnet school application.

"Read "Adding It Up: Helping Children Learn Mathematics" at NAP.edu." National Academies

Press: OpenBook. https://www.nap.edu/read/9822/chapter/1#xv. An interesting study about how

reforms in education through the years have changed the way students learn mathematics.

S, Surbhi. "Difference Between Area and Perimeter (with Comparison Chart)." Key Differences.

September 01, 2017. https://keydifferences.com/difference-between-area-and-perimeter.html.

Concept development about area and perimeter.

"School Profiles." Tulsa Public Schools. https://www.tulsaschools.org/our-schools/school-

profiles. Profile information about Zarrow International

"Standards for Mathematical Practice." Standards for Mathematical Practice | Common Core

State Standards Initiative. http://www.corestandards.org/Math/Practice/. The Common Core

official website.

Walton, and Tamela Randolph. "Alternative Methods for Understanding Area Formulas." Illinois

Mathematics Teacher. http://journal.ictm.org/index.php/imt/article/view/89. This article

emphasizes the importance of having a solid conceptual understanding when learning

mathematics instead of formulas memorization. The report also provides ideas of activities for

students to gain conceptual understanding.

"Why Teach Mathematics with Manipulatives?" Manipulatives in Math: Why Teach Math with

Manipulatives | ETA Hand2mind. https://www.hand2mind.com/resources/why-teach-math-with-

manipulatives. Use of manipulatives in mathematics.

"The Difficulty of "length × width": Is a Square the Unit of Measurement?" The Journal of

Mathematical Behavior. April 11, 2006.

https://www.sciencedirect.com/science/article/pii/S0732312306000125?via=ihub.

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