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

CONTENTS OF CURRICULUM UNIT 19.05.04

  1. Unit Guide
  1. Introduction
  2. Demographics
  3. Background
  4. Connection to Multiplication Fluency
  5. Classroom Activities
  6. Teaching Strategies
  7. Problem Solving Process
  8. Understanding the Problem using a KWCSRS
  9. Appendix A
  10. Resources
  11. Endnotes

Exploring Perimeter and Area with Third Graders

Kathleen Geri Gormley

Published September 2019

Tools for this Unit:

Resources

Abbe Skinner, Nicole Louie, Evra M Baldinger. "Learning to See Students' Mathematical Strengths." Teaching Children Mathematics (National Council of Teachers of Mathematics) 25, no. 6 (April 2019): 338-345.

Adler, David. Perimeter, Area, and Volume. New York: Holiday House, 2012.

Boaler, Jo. Mathematical Mindsets. San Francisco, CA: Jossey-Bass, 2016.

Burns, Marilyn. About Teaching Mathematics. Sausalito, CA: Scholastic Inc., 2015.

Caroline B. Ebby, Elizabeth T. Hulbert, Nicole Fletcher. "What Can We Learn from Correct Answers?" Teaching Children Mathematics (National Council of Teachers of Mathematics) 25, no. 6 (April 2019): 346-353.

Elliott, Andrew C.A. Is That A Big Number? Oxford: Oxford University Press, 2018.

Fuson, Karen C. Math Expressions. Orlando: Houghton Mifflin Harcourt Publishing Co, 2018.

Hillman, Ben. How Big Is It? New York: Scholastic Inc., 2007.

Honi J Bamberger, Christine Oberdorf, Karren Schultz-Ferrell. Math Misconceptions: From Misunderstanding to Deep Understanding. Portsmouth, NH: Heinemann, 2010.

Hyde, Arthur. Comprehending Math; Adapting Reading Strategies to Teach Mathematics, K-6. Portsmouth, NH: Heinemann, 2006.

Juli K. Dixon, Edward C. Nolan, Thomasenia Lott Adams, Jennifer M. Tobias, Guy Barmoha. Making Sense of Mathematics for Teaching; Grades 3-5. Bloomington, IN: Solution Tree Press, 2016.

Kai Kow, Joseph Yeo. Teaching Area and Perimeter: Mathematics Pedagocial Content Kowledege in Action. National Institute of Education, Nanyang Technical University.

Karen Karp, Sarah B. Bush, Barbara Doughtery. "Avoiding the Ineffective Keyword Strategy." Teaching Children Mathematics (National Council of Teachers of Mathematics) 25, no. 7 (May 2019): 428-435.

Ma, Liping. Knowing and Teaching Elementary Mathematics. Mahwah, NJ: Lawrence Erlbaum Associates, 1999.

May, Lola June. Teaching Mathematics in the Elementary School. New York: The Free Press, 1970.

Mike, Cass, Dennis Cates, Michelle Smith, Cynthia Jackson. "Effects of manipulative Instruction on Solving Area and Perimeter Problems by Students with Learning Disabilities." Learning Disabilities 18, no. 2 (May 2003): 112-120.

National Research Council. Adding It Up: Helping Children Learn Mathematics. Washington, DC: National Academy Press, 2001.

Pilegard, Virginia Walton. The Warlord's Kites. Gretna, LA: Pelican Publishing Company Inc, 2004.

Polya, G. How to Solve It; A New Aspect of Mathematical Methods. Princeton: Princeton University Press, 1945.

Pound, Linda. Supporting Mathematical Development in the Early Years. Maidenhead: Open University Press, 2006.

Reisberg, Joanne. Zachary Zormer Shape Transformer. Watertown, MA: Charlesbridge, 2006.

Rickard, Anthony. "Connections Confusion: Teaching Perimeter and Area with a Problem Solving Oriented Unit." Journal of Mathematical Behavior 15, no. 3 (September 1996): 303-327.

Sharmat, Majorie Weinman. The 329th Friend. New York: Four Winds Press, 1979.

Springer Series in Cognitive Development. Children's Logical and Mathematical Cognition. Edited by Charles Brainerd. New York: Springer-Verlag, 1982.

Tall, David. How Humans Learn to Think Mathematically; Exploring the Three Worlds of Mathematics. New Yorl: Cambridge Press, 2013.

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