Thursday, January 14, 2010

Relational vs. Instrumental

Relational understanding and instrumental understanding are both important according to Skemp, but Relational understanding is a better way of understanding because it is more lasting and can be applied to more situations. Both relational and instrumental understand are methods of getting correct answers to questions, the difference is that relational understanding explains not only how to get the right answer, but it also explains why that method works. This type of understanding, according to Skemp, is very important because it is allows students to form a deeper knowledge of a subject, rather than just mechanically solving problems the same way. This form of understanding, relational, is better in enabling students to get correct answers for varying questions, rather than the same problem with different numbers filled in. This is because instrumental understanding only explains how to do a problem. While this has its advantages, they are mostly short-term in that the student is able to get the correct answer quickly. A problem occurs, however, when a different type of question is asked in a given homework assignment, then the student is not able to adapt their knowledge to comprehend the new situation. Skemp believes that both forms of understanding are important and should be taught but instumental understanding can be taught within the more encompassing form of understanding called relational.

2 comments:

  1. I agree that relational understanding gives you a deeper understanding of the subject. It also enables the student to adapt thier knowledge to different problems. I thoguht it interesting your word choice of "situation." It is true that the things you learn in math can not only be applied to a homework assignment, but also to "situations" in life that arise around us.

    I am not sure if someone with only instrumental understanding can always get correct answers to questions. What I mean by this is that if a student only has instrumental understanding and they are given a related, but not directly similar problem, they will try to use the formulas and methods on the new problem and then get it wrong. At least a little bit of relational understanding is necessary to get the correct answer in these situations.

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  2. You did a nice job summarizing Skemp's point of view.

    What are some specific short-term advantages of instrumental understanding? What are the benefits of understanding why something works?

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