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Textual descriptions in mathematics

From Decoding the Disciplines
Revision as of 13:51, 28 March 2025 by Riegler (talk | contribs)
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Although mathematics makes extensive use of formal language, teaching mathematics involves using textual descriptions.

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The set P of all subsets of the set {1,…,10}, which are disjoint to the set {1,…,5}.


The set P of all subsets of the set {1,…,10}, which are disjoint to the set {1,…,5}.

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The set P of all subsets of the set {1,…,10}, which are disjoint to the set {1,…,5}.


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Decoding work done

Identification of bottleneck

Given statements in natural language involving set descriptions or quantifiers students find it difficult to formalize such statements, in particular if there is more than one quantifier involved.

Give specific example here

Description of mental tasks needed to overcome the bottleneck

Parsing<ref name=":0">Lost in Language Comprehension
</ref> ... Good Enough Theory<ref>Good enough theory</ref>

Modelling the tasks

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Practice and Feedback

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Anticipate and lessen resistance

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Assessment of student mastery

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Sharing

Lost in Language Comprehension

Researchers involved

Peter Riegler

Available Resources

See also

Notes

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References

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External Links