Last edited 3 months ago
by Peter Riegler

Textual descriptions in mathematics: Difference between revisions

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{{Textbox|boxtype=neutral|header=|text=The set P of all subsets of the set {1,…,10}, which are disjoint to the set {1,…,5}.|icon=yes}}
{{Textbox|boxtype=neutral|header=|text=The set P of all subsets of the set {1,…,10}, which are disjoint to the set {1,…,5}.|icon=yes}}


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}.


{{Textbox|boxtype=tip|header=|text=The set P of all subsets of the set {1,…,10}, which are disjoint to the set {1,…,5}.|icon=yes}}<!-- DID YOU KNOW --------------------------><div style="margin:0; margin-top:10px; margin-right:10px; border:1px solid #3e5389; padding: 1em; background:#F9F9F9;"><div style="padding: 4px; text-align: center; font-size:120%; border-bottom: solid 1px #3e5389; margin-bottom:5px;">Did you know?</div><bs:tagcloud renderer="canvas3d" store="category" width="100%" showcount="false" minsize="5" maxsize="30" />
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==Decoding work done ==
==Decoding work done==


===Identification of bottleneck===
===Identification of bottleneck===
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...
...


===Sharing===
===Sharing ===
[[Lost in Language Comprehension]]  
[[Lost in Language Comprehension]]  



Revision as of 16:05, 28 March 2025

Although mathematics makes extensive use of formal language, teaching mathematics involves using textual descriptions.

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}.


{{Textb








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[1] ... Good Enough Theory[2]

Modelling the tasks

....

Practice and Feedback

...

Anticipate and lessen resistance

...

Assessment of student mastery

...

Sharing

Lost in Language Comprehension

Researchers involved

Peter Riegler

Available Resources

See also

Notes


References


External Links