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ON-Math Winter 2003 | Volume 2, Number 2
Sadly, as of 2012, ON-Math is no more…
Concepts?
Or
Procedures?
?
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We want both, but which should be introduced first?
Who learns more?
and why?
GROUP 1
• Procedural
instruction: 5 days
• Conceptual
Instruction: 3 days
GROUP 2
• Conceptual
instruction: 3 days
Procedural: memorization and routine application of formulas.
Conceptual: constructing relationships through concrete
materials, questioning, communications and problem solving
(Persek and Kirshner, 2000)
Does it matter which comes first?
Procedural Instruction
Conceptual Instruction
Mixed numbers vs. Improper fractions
5 6x2  5 17
2 

6
6
6

5
2 
6
17

6
Does it matter which comes first?
Procedural Instruction
Conceptual Instruction
Mixed numbers vs. Improper fractions
7
 73
3
1
2R1  2
3
Well, does it?
7

3
1
 2
3
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:
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http://my.nctm.org/eresources/view_article.asp?article_id=6430&page=1
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