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Award ID contains: 1954613

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  1. ; ; ; (, PMENA)
    Free, publicly-accessible full text available November 7, 2025
  2. ; ; (, The Journal of Mathematical Behavior)
    Full Text Available 
  3. ; (, Proceedings of the 12th Congress of the European Society for Research in Mathematics Education)
    Based on data from a teaching experiment with two undergraduate students, we propose the unitizing of predicates as a construct to describe how students render various mathematical conditions as predicates such that various theorems have the same logical structure. This may be a challenge when conditions are conjunctions, negative, involve auxiliary objects, or are quantified. We observe that unitizing predicates in theorems and proofs seemed necessary for students in our study to see various theorems as having the same structure. Once they had done so, they reiterated an argument for why contrapositive proofs proved their associated theorems, showing the emergence of logical structure. 
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    Accepted Manuscript Full Text Available
  4. ; (, Proceedings of the 12th Congress of the European Society for Research in Mathematics Education)
    Based on data from a teaching experiment with two undergraduate students, we propose the unitizing of predicates as a construct to describe how students render various mathematical conditions as predicates such that various theorems have the same logical structure. This may be a challenge when conditions are conjunctions, negative, involve auxiliary objects, or are quantified. We observe that unitizing predicates in theorems and proofs seemed necessary for students in our study to see various theorems as having the same structure. Once they had done so, they reiterated an argument for why contrapositive proofs proved their associated theorems, showing the emergence of logical structure. 
    more » « less
    Accepted Manuscript Full Text Available