Eight Unproductive Practices in Developing Fact Fluency

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Gina Kling Western Michigan University, Kalamazoo, MI

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Jennifer M. Bay-Williams University of Louisville, Louisville, KY

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Basic fact fluency has always been of interest to elementary school teachers and is particularly relevant because a wide variety of supplementary materials of varying quality exist for this topic. This article unpacks eight common unproductive practices with basic facts instruction and assessment.

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Mathematics Teacher: Learning and Teaching PK-12
  • Baroody, Arthur. 2006. “Why Children Have Difficulties Mastering the Basic Number Combinations and How to Help Them." Teaching Children Mathematics 13, no. 1 (August): 2223.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Baroody, Arthur, David Purpura, Michael Eiland, Erin Reid, and Veena Paliwal. 2016. “Does Fostering Reasoning Strategies for Relatively Difficult Basic Combinations Promote Transfer by K–3 Students?" Journal of Educational Psychology 108, no. 4 (May): 57691.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Bay-Williams, Jennifer, and Gina Kling. 2019. Math Fact Fluency: 60+ Games and Assessment Tools to Support Learning and Retention. Alexandria, VA: Association for Supervision and Curriculum Development; Reston, VA: National Council of Teachers of Mathematics.

    • Search Google Scholar
    • Export Citation
  • Boaler, Jo, Cathy Williams, and Amanda Confer. 2015. “Fluency without Fear: Research Evidence on the Best Ways to Learn Math Facts." YouCubed. https://www.youcubed.org/evidence/fluency-without-fear/.

    • Search Google Scholar
    • Export Citation
  • Brendefur, Jonathan, Sam Strother, Keith Thiede, and Sarah Appleton. 2015. “Developing Multiplication Fact Fluency." Advances in Social Sciences Research Journal 2, no. 8 (August): 14254.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Choe, Kyoung, Jalisha B. Jenifer, Christopher S. Rozek, Marc G. Berman, and Sian L. Beilock. 2019. “Calculated Avoidance: Math Anxiety Predicts Math Avoidance in Effort-Based Decision-Making." Science Advances 5, no. 11 (November): eaay106269.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Clements, Douglas H., Karen C. Fuson, and Julie Sarama. 2017. “What Is Developmentally Appropriate Teaching?" Teaching Children Mathematics 24, no. 3 (November/December): 17888.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Heege, Hans Ter. 1985. “The Acquisition of Basic Multiplication Skills." Educational Studies in Mathematics 16, no. 4 (November): 37588.

  • Henry, Valerie, and Richard Brown. 2008. “First-Grade Basic Facts: An Investigation into Teaching and Learning of an Accelerated, High-Demand Memorization Standard." Journal for Research in Mathematics Education 39, no. 2 (March): 15383.

    • Search Google Scholar
    • Export Citation
  • Jacobs, Victoria R., Lisa L. C. Lamb, and Randolph A. Philipp. 2010. “Professional Noticing of Children’s Mathematical Thinking." Journal for Research in Mathematics Education 41, no. 2 (March): 169202.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Kling, Gina, and Jennifer M. Bay-Williams. 2014. “Assessing Basic Fact Fluency." Teaching Children Mathematics 20, no. 8 (April): 48897.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Locuniak, Maria N., and Nancy C. Jordan. 2008. “Using Kindergarten Number Sense to Predict Calculation Fluency in Second Grade." Journal of Learning Disabilities 41, no. 5 (September/October): 45159.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Merriam-Webster’s Collegiate Dictionary. 2003. 11th ed. Springfield, MA: Merriam-Webster. Continually updated at https://www.merriam-webster.com/.

    • Search Google Scholar
    • Export Citation
  • National Council of Teachers of Mathematics (NCTM). 2020. Catalyzing Change in Early Childhood and Elementary Mathematics. Reston, VA: NCTM.

    • Search Google Scholar
    • Export Citation
  • National Council of Teachers of Mathematics (NCTM). 2014a. Principles to Actions: Ensuring Mathematical Success for All. Reston, VA: NCTM.

    • Search Google Scholar
    • Export Citation
  • National Council of Teachers of Mathematics (NCTM). 2014b. “Procedural Fluency in Mathematics: A Position of the National Council of Teachers of Mathematics." Reston, VA: NCTM. https://www.nctm.org/Standards-and-Positions/Position-Statements/Procedural-Fluency-in-Mathematics/.

    • Search Google Scholar
    • Export Citation
  • National Research Council. 2001. Adding It Up: Helping Children Learn Mathematics, edited by Jeremy Kilpatrick, Jane Swafford, and Bradford Findell (NRC), Mathematics Learning Study Committee, Center for Education, Division of Behavioral and Social Sciences and Education. Washington, DC: National Academies Press.

    • Search Google Scholar
    • Export Citation
  • National Research Council. 2009. Mathematics in Early Childhood: Paths toward Excellence and Equity, edited by Christopher T. Cross, Taniesha A. Woods, and Heidi Schweingruber (NRC). Washington, DC: National Academies Press.

    • Search Google Scholar
    • Export Citation
  • Purpura, David J., Arthur J. Baroody, Michael D. Eiland, and Erin E. Reid. 2016. “Fostering First Graders’ Reasoning Strategies with Basic Sums: The Value of Guided Instruction." The Elementary School Journal 117, no. 1 (September): 72100.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Ramirez, Gerardo, Elizabeth A. Gunderson, Susan C. Levine, and Sian L. Beilock. 2013. “Math Anxiety, Working Memory, and Math Achievement in Early Elementary School." Journal of Cognition and Development 14, no. 2 (January): 187202.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • SanGiovanni, John J., Jennifer M. Bay-Williams, and Rosalba Serrano. 2022. Figuring Out Fluency with Whole Number Addition and Subtraction. Thousand Oaks, CA: Corwin.

    • Search Google Scholar
    • Export Citation
  • Steinberg, Ruth. 1985. “Instruction on Derived Facts Strategies in Addition and Subtraction." Journal for Research in Mathematics Education 16, no. 5 (November): 33755.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Thornton, Carol. 1978. “Emphasizing Thinking Strategies in Basic Fact Instruction." Journal for Research in Mathematics Education 9, no. 3 (May): 21427.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Tournaki, Nelly. 2003. “The Differential Effects of Teaching Addition through Strategy Instruction versus Drill and Practice to Students with and without Learning Disabilities." Journal of Learning Disabilities 36, no. 5 (September/October): 44958.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Van de Walle, John A., Karen S. Karp, and Jennifer M. Bay-Williams. 2019. Elementary and Middle School Mathematics: Teaching Developmentally. 10th ed. New York: Pearson.

    • Search Google Scholar
    • Export Citation
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