Visualizing the Arithmetic Mean

Author:
Michael Daiga Wittenberg University, Springfield, OH

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and
Shannon Driskell University of Dayton, Dayton, OH

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Volume/Issue:
Volume 114: Issue 8
Page(s):
607–615
DOI:
https://doi.org/10.5951/MTLT.2020.0192
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Subjects:
Grade(s) or Audience, Grades 6-8, Math Topic, Probability/Data Analysis and Statistics, Measures of Central Tendency, Other Topic, Representations, Teaching and Learning Instruction, Manipulatives, Principles to Actions, Mathematics Teaching Practices

The two provided activities are geared for students in middle school to facilitate and deepen their understanding of the arithmetic mean. Through these activities, students analyze visual representations and use a special type of statistical thinking called transnumerative thinking.

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  • Groth, Randall , and Andrea Bargagliotti . 2012. “Gaiseing into the Common Core of Statistics." Mathematics Teaching in the Middle School 18, no. 1 (August): 38–45.

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  • National Council of Teachers of Mathematics (NCTM). 2014. Principles to Actions: Ensuring Mathematical Success for All. Reston, VA: NCTM.

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  • National Governors Association Center for Best Practices (NGA Center) and the Council of Chief State School Officers (CCSSO). 2010. Common Core State Standards for Mathematics. Washington, DC: NGA Center and CCSSO. http://www.corestandards.org.

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  • Wickstrom, Megan H. , and Tracy Aytes . 2018. “Elementary Modeling: Connecting Counting with Sharing." Teaching Children Mathematics 24, no. 5 (March): 300–307.

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  • Wild, Chris J. , and Maxine Pfannkuch . 1999. “Statistical Thinking in Empirical Enquiry." International Statistical Review 67, no. 3 (December): 223–48. https://iase-web.org/documents/intstatreview/99.Wild.Pfannkuch.pdf.

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Copyright:
© 2021 by National Council of Teachers of Mathematics, Inc.
Page Count:
10
Article Category:
Research Article
Print Publication Date:
01 Aug 2021
Online Publication Date:
Aug 2021
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