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(2018) Invited lectures from the 13th international congress on mathematical education, Dordrecht, Springer.
Our work focuses on logic and language at a university in Cameroon. The mathematical discourse, carried by the language, generates ambiguities. At the university level, symbolism is introduced to clarify it. Because it is not taught in secondary school, it becomes a source of difficulties for students. Our thesis is as follows: "The determination of the logical structure of mathematical statements is necessary in order to properly use them in mathematics." We conducted our study in the predicate calculus theory. In the first part of the paper, a summary of the theory is presented, followed by a logical analysis of two complex mathematical statements. The second part is a report of two sequences of an experiment that was conducted with first-year students that shows that knowledge of the logical structure of a statement enables students to clarify the ambiguities raised by language.
Publication details
DOI: 10.1007/978-3-319-72170-5_25
Full citation:
Njomgang Ngansop, J. (2018)., Relevance of learning logical analysis of mathematical statements, in G. Kaiser, H. Forgasz, M. Graven, A. Kuzniak, E. Simmt & B. Xu (eds.), Invited lectures from the 13th international congress on mathematical education, Dordrecht, Springer, pp. 441-462.
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