Algebra as Part of an Integrated High School Curriculum

  • James T. Fey
  • David A. Smith


Traditional high school mathematics curricula in the United States devote 2 years almost exclusively to development of student proficiency in the symbolic manipulations required for solving algebraic equations and generating equivalent algebraic expressions. However, recent design experiments have shown that a focus on functions, mathematical modeling, and computer algebra tools enables effective integration of algebra with the other core strands of high school mathematics.


Integrated curriculum School algebra Functions Problem-based learning Mathematical modeling Applications 


  1. Benjamin, H. R. W. (1939), pseudonym J. Abner Peddiwell. The Saber-Tooth curriculum. New York: McGraw-Hill. Republished by McGraw-Hill as The Saber-Tooth curriculum, classic edition, 2004.Google Scholar
  2. Common Core State Standards for Mathematics. Washington, DC: National Governors Association Center for Best Practices and the Council of Chief State School Officers. Retrieved from
  3. Fendel, D., Resek, D., Alper, L., & Fraser, S. (2015). Interactive mathematics program 1, 2, 3, 4. Mount Kisco, NY: It’s About Time.Google Scholar
  4. Hirsch, C., Fey, J., Schoen, H., Hart, E., & Watkins, A. (2014). Core-plus mathematics I, II, III, IV. Columbus, OH: McGraw Hill.Google Scholar
  5. Jones, P. S., & Coxford, A. F., Jr. (Eds.). (1970). A history of mathematics education in the United States and Canada. Thirty Second Yearbook of the National Council of Teachers of Mathematics. Washington, DC: National Council of Teachers of Mathematics.Google Scholar
  6. Kilpatrick, J., & Izsak, A. (2008). A history of algebra in the school curriculum. In C. Greenes & R. Rubenstein (Eds.), Algebra and algebraic thinking in school mathematics. 2008 Yearbook of the National Council of Teachers of Mathematics. Reston, VA: Author.Google Scholar
  7. National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for mathematics teaching. Reston, VA: Author.Google Scholar
  8. National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.Google Scholar
  9. Rehmeyer, J. (2014). Transitions: Organizing principles for algebra curricula—The transition from arithmetic to algebra. In Critical issues in mathematics education series teaching and learning algebra workshop 5 2008. Berkeley, CA: Mathematical Sciences Research Institute.Google Scholar

Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  1. 1.University of MarylandCollege ParkUSA
  2. 2.WheatonUSA
  3. 3.Duke UniversityDurhamUSA

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