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

CONTENTS OF CURRICULUM UNIT 19.05.12

  1. Unit Guide
  1. Introduction
  2. Rationale
  3. Content Objectives
  4. Pre-requisites
  5. Curtailing Misconceptions
  6. Strategies
  7. Noteworthy Popular Ideas to Support Concepts
  8. Classroom Activities
  9. 1. The Geometric Analysis of Spaghetti and Meatballs for All! A Mathematical Story
  10. 2. Geometrical Exiting, Before Lunch
  11. 3. Geometric Classroom Objects
  12. Resources
  13. Appendix: Implementing District Standards

Geometric, Classroom Object Calculations

Trisha WIlliams

Published September 2019

Tools for this Unit:

Resources

Bibliography

  1. https://www.azquotes.com/author/888-Benjamin_Banneker
  2. Boggan, M., Harper, S., Whitmire, A. Using Manipulatives to Teach Elementary Math. Journal of Instructional Pedagogies (2010).
  3. Burns, Marilyn, and Debbie Tilley. Spaghetti and Meatballs for All!: A Mathematical Story. New York: Scholastic, (2008).
  4. Gough, J. Diversions, Fixing Misconceptions: Length, Area, Volume. Primer Number, Vol. 19, no. 3, pg. 8-14 (2004).
  5. Greig, Jo. Tutor in a Books Geometry. Berkeley, CA: Geometry Store,( 2012).
  6. Harrasi, Kothar Talib Sulaiman Al. Using Stories in English Omani Curriculum. English Language Teaching 5, no. 11 (2012). doi:10.5539/elt.v5n11p51.
  7. Howard, C.A. Mathematics Problems from Ancient Egyptian Papyri. Mathematics Teacher, Vol. 103 n5, pg. 332-339 (2009).
  8. Lu, Y. A Comparison of Math Teaching in China and the United States : Problem Solving Skills in Geometry of Chinese and U.S. Students. The Ohio State University, (2016).
  9. Moyer-Packenham, P.S. Using Representations To Explore Perimeter and Area. Teaching Children Mathematics, (2001).
  10. https://www.pearsonhighered.com/assets/samplechapter/0/1/3/2/0132824876.pdf
  11. Powell, Sarah R., and Michael A. Hebert. Influence of Writing Ability and Computation Skill on Mathematics Writing. The Elementary School Journal 117, no. 2 (2016): 310-35. doi:10.1086/688887.
  12. Spectrum Geometry. Greensboro, NC: Spectrum, an Imprint of Carson-Dellosa Publishing LLC, (2014).
  13. Szkudlarek, Emily, and Elizabeth M. Brannon. Does the Approximate Number System Serve as a Foundation for Symbolic Mathematics? Language Learning and Development 13, no. 2 (2017): 171-90. doi:10.1080/15475441.2016.1263573.
  14. Van De Walle,  John. Elementary and Middle School Mathematics: Teaching Developmentally. 4th ed. NY, NY: McGeehon, (2001).
  15. https://www.weareteachers.com/anchor-charts-101-why-and-how-to-use-them-plus-100s-of-ideas/
  16. https://onlinelibrary.wiley.com/doi/abs/10.1111/ssm.12202
  17. https://mathstat.slu.edu/escher/index.php/File:Pentominos.svg, image, polygonal tessalations
  18. 18. https://www.quora.com/What-is-the-name-of-a-3D
  19. http://sheppardsoftware.com/mathgames/menus/geometry.htm
  20. 20. https://www.freecodecamp.org/news/data-structures-101-arrays-a-visual-introduction-for-beginners-7f013bcc355a/
  21. https://www.pinterest.com/pin/259590365994825453/?lp=true
  22. https://smithcurriculumconsulting.com/9-great-resources-for-project-based-learning-in-the-math-classroom/
  23. https://hackaday.com/2017/12/07/diy-wooden-building-blocks/

Notes

  1. Van De Walle, J. A. Elementary and Middle School Mathematics
  2. https://www.pearsonhighered.com/assets/samplechapter/0/1/3/2/0132824876.pdf
  3. Greig, J. Tutor in a Book’s Geometry
  4. Greig, J. Tutor in a Book’s Geometry
  5. Greig, J. Tutor in a Book’s Geometry
  6. Greig, J. Tutor in a Book’s Geometry
  7. https://www.azquotes.com/author/888-Benjamin_Banneker
  8. Howe, Roger Perimeter, Area, Volume, and All That: A Study of Measurement. Yale University, 2019
  9. https://onlinelibrary.wiley.com/doi/abs/10.1111/ssm.12202
  10. 10. Howard, C. Math Problems from Ancient Egyptian Papyri
  11. Gough, J. Diversions Fixing Misconceptions: Length, Area, and Volume
  12. Gough, J. Diversions Fixing Misconceptions: Length, Area, and Volume
  13. Gough, J. Diversions Fixing Misconceptions: Length, Area, and Volume
  14. Gough, J. Diversions Fixing Misconceptions: Length, Area, and Volume
  15. Boggan, M., Harper, S., Whitmire A. Using Manipulatives to Teach Elementary Mathematics
  16. https://www.weareteachers.com/anchor-charts-101-why-and-how-to-use-them-plus-100s-of-ideas/
  17. Powell, S. & Hebert, M. Influence of Writing Ability and Computation Skills on Mathematics Writing
  18. Szkudlarek, E. and Brannon, E. Does the Approximate Number System Serve as a Foundation for Symbolic Mathematics?
  19. Barreto, D, Vasconcelos, L., Orey, M. Motivation and Learning Engagement through Playing Math Video Games
  20. Harrasi, K. Using Stories in English Omani Curriculum
  21. Moyer-Packenham, P.Using Representations to Explore Area and Perimeter
  22. Lu, Y. A Comparison of Math Teaching and Learning in China and the United States
  23. Burns, M. Spaghetti and Meatballs for All! A Mathematical Story
  24. Burns, M. Spaghetti and Meatballs for All! A Mathematical Story

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