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Mixed content vs. individual content study

This study explores the effectiveness of teaching related mathematical concepts—mean, median, mode, and range (MMMR)—either separately or simultaneously. The objective is to determine whether students learn better when these concepts are presented as distinct topics or mixed together. By analyzing student performance through distinct problem sets, this research provides insights that could significantly impact future teaching strategies in schools and colleges, particularly for a subject that often confuses learners.

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Mixed content vs. individual content study

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  1. Mixed content vs. individual content study ManasiVartak, Cristina Heffernan, Neil Heffernan

  2. Objective • Do students learn better when related concepts are taught: • Separately (Not Mixed) • Simultaneously (Mixed) • Example: Should mean, median, mode, range be taught separately or simultaneously? • Can deeply affect future teaching patterns

  3. Study • Topic: Data Analysis – Mean, Median, Mode, Range (MMMR) • Important topic; useful through school and college • Students often confused about differences in MMMR • Find best way to teach MMMR • Half of the class is taught concepts separately, other half is taught concepts simultaneously

  4. Study • Single problem set • Pre-test • Study problems • Mixed: Single Mastery Learning set with mean, median, mode and range problems in random order • Not Mixed: 4 separate Mastery Learning sets, one each for mean, median, mode and range respectively • Post-test

  5. Sample Assistments Mean Problems

  6. Sample Assistments Median problems

  7. Sample Assistments Mode problems

  8. Sample Assistments Range problems

  9. Things you should know • Comprehensive set of problems on MMMR • Single problem set • Students in neither problem set are at a disadvantage; they learn the same concepts • May take longer than traditional problem sets; can be completed over several days • Insight into best way to teach related concepts

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