The interplay of logical relations and their linguistic forms in proofs written in natural language
Résumé
The Toulmin model and the systemic functional grammar are combined to analyse logical relations and their linguistic forms in students’ written proofs for identifying obstacles and possibilities to foster the understanding of proofs. The qualitative analysis of 63 students’ products reveals a parallelism between syntactical and content-related explications and condensations. In particular, the use of conjunctions seems to support more options 1.) to make explicit logical relations between premise and warrant or conclusion, 2.) to combine several steps of a proof, and 3.) to recycle conclusions as new premises. The logical relation from the warrant to the conclusion is often only made explicit using causal prepositions as linguistic condensed forms of relations.
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