Problem Solving and the Common Core

CONTENTS OF CURRICULUM UNIT 15.05.10

  1. Unit Guide
  1. Introduction
  2. Rationale
  3. Personalization of Problems
  4. Content Objectives
  5. Multiplication and Division One-Step Problem Taxonomy
  6. Equal Groups Problems
  7. Two-Step Multiplication and Division Problems
  8. Algebraic Representations of Word Problems
  9. Project Based Learning Activity
  10. Reading Problems With Intention
  11. Differentiation of Problem Sets
  12. Bibliography
  13. Appendix A: Royals Rise Up! Project Proposals
  14. Appendix B: Example Scenario
  15. Appendix C: Extensions of the Scenarios – Initial Cost
  16. Appendix D: Differentiation of Problems
  17. Appendix E
  18. Appendix F: Project Based Learning Activity Outline
  19. Appendix G: Academic Standards
  20. Notes

Personalizing Problem Solving

Lawrence Elliott Yee

Published September 2015

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Bibliography

Chapman, Olive. "Classroom Practices for Context of Mathematics Word Problems." Educational Studies in Mathematics 62, no. 2 (2006): 211-30. Accessed July 12, 2015. http://www.jstor.org/stable/25472096.

Guerrero, Shannon M. "The VALUE OF Guess & Check." Mathematics Teaching in the Middle School 15, no. 7 (2010): 392-98. Accessed July 13, 2015. http://www.jstor.org/stable/41183417?pq-origsite=summon&seq=7#page_scan_tab_contents.

Hart, Janis. "The Effect of Personalized Word Problems." Teaching Children Mathematics 2, no. 8 (1996): 504-05. Accessed July 10, 2015. http://www.jstor.org/stable/41198338.

Howe, Roger. “From Arithmetic to Algebra.”

Ku, Heng-Yu, and Howard J. Sullivan. "Student Performance And Attitudes Using Personalized Mathematics Instruction." Educational Technology Research and Development 50, no. 1, 21-34. Accessed July 10, 2015. http://www.jstor.org/stable/30220321.

Leinwand, Steve. Accessible Mathematics: 10 Instructional Shifts That Raise Student Achievement. Portsmouth, NH: Heinemann, 2009.

López, Cecilia L, and Howard J Sullivan. "Effects of Personalized Math Instruction for Hispanic Students." Contemporary Educational Psychology: 95-100.

Polya, George. How to Solve It: A New Aspect of Mathematical Method. New Princeton Science Library ed.

Solis, Alfred, and John Larmer. PBL 101 Workbook: The Companion to BIE's Introductory Project Based Learning Workshop. 3rd ed. Novato, Calif.: Buck Institute for Education, 2013.

"Common Core State Standards Initiative: Mathematics Standards." Mathematics Standards. Accessed May 1, 2015. http://www.corestandards.org/Math/

"School Summary: William C. Overfelt High." EdData. Accessed May 30, 2015. http://www.ed-data.org/school/Santa-Clara/East-Side-Union-High/William-C.-Overfelt-High.

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