Developing Probability and Data Analysis Concepts
with Technology

NCTM ~ Salt Lake City, UT ~ 11 April 2008


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Skills and concepts we want children to learn

What do the NCTM Standards say?

Basic probability concepts:

  • Systematic counting
  • Randomness
  • Fairness of the tool and the rule
  • Degree of certainty (impossible, unlikely, equally likely to occur, likely, certain) becomes more quantifiable
  • Theoretical vs experimental chance

Related math skills:

  • Fractions
  • Decimals
  • Percents
  • Ratios
  • Measurement

Data analysis:

  • Formulate meaningful questions
  • Collect, organize, analyze, and represent data
    • Select appropriate forms of representation – continuous vs discrete
    • Purpose of graphing
  • Develop conjectures, draw conclusions, make predictions based on
    • the shape of the data (range, clusters, gaps, outliers)
    • measures of central tendency (mean, median, mode)
    • Relationship does not imply causality
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