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Go to http://www.nctm.org/publications/ and click “On-Math” http://www.nctm.org/eresources/tocgraphic.asp?journal_id=6&issue_id=691. ON-Math Winter 2003 | Volume 2, Number 2. Math Wars!. Concepts? Or Procedures ?. GROUP 1 Procedural instruction : 5 days
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Go to http://www.nctm.org/publications/ and click “On-Math”http://www.nctm.org/eresources/tocgraphic.asp?journal_id=6&issue_id=691 ON-Math Winter 2003 | Volume 2, Number 2
Math Wars! Concepts? Or Procedures ?
GROUP 1 Proceduralinstruction: 5 days Conceptual Instruction: 3 days GROUP 2 Conceptualinstruction: 3 days Who learns more?and why? Procedural: memorization and routine application of formulas. Conceptual: constructing relationships through concrete materials, questioning, communications and problem solving (Persek and Kirshner, 2000)
Procedural Instruction Conceptual Instruction Does it matter which comes first? Mixed numbers vs. Improper fractions
Procedural Instruction Conceptual Instruction Does it matter which comes first? Mixed numbers vs. Improper fractions Well, does it?
This study: • Procedural lesson and test • 3 weeks later, test • 2 weeks later, conceptual lesson and test • 3 weeks later, test Post procedural change in scores: -21% Post conceptual change in scores: -2%
Rachel’s experiences: http://my.nctm.org/eresources/view_article.asp?article_id=6430&page=1