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Misconceptions and Learning Algebra

  • Julie L. BoothEmail author
  • Kelly M. McGinn
  • Christina Barbieri
  • Laura K. Young
Chapter

Abstract

Rather than exclusively focus on mastery of procedural skills, mathematics educators are encouraged to cultivate conceptual understanding in their classrooms. However, mathematics learners hold many faulty conceptual ideas—or misconceptions—at various points in the learning process. In the present chapter, we first describe the common misconceptions that students hold when learning algebra. We then explain why these misconceptions are problematic and detail a potential solution with the capability to help students build correct conceptual knowledge while they are learning new procedural skills. Finally, we discuss other potential implications from the existence of algebraic misconceptions which require further study. In general, preventing and remediating algebraic misconceptions may be necessary for increasing student success in algebra and, subsequently, more advanced mathematics classes.

Keywords

Misconceptions Worked examples Learning from errors Conceptual knowledge Self-explanation 

Notes

Acknowledgements

Funding for the writing of this chapter was provided by the Institute of Education Sciences and U.S. Department of Education through Grant R305B150014 to Temple University, Grant R305B130012 to the University of Delaware, and Grant R305A100150 to the Strategic Education Research Partnership. The opinions expressed are those of the authors and do not represent views of the Institute or the U.S. Department of Education.

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Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  • Julie L. Booth
    • 1
    Email author
  • Kelly M. McGinn
    • 2
  • Christina Barbieri
    • 2
  • Laura K. Young
    • 2
  1. 1.Psychological Studies in EducationTemple UniversityPhiladelphiaUSA
  2. 2.College of Education and Human Development, University of DelawareNewarkUSA

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