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Aguilera-Venegas, Gabriel; Galán-García, José Luis; Galán-García, María Ángeles; Rodríguez-Cielos, Pedro – International Journal for Technology in Mathematics Education, 2015
Automated theorem proving (ATP) for Propositional Classical Logic is an algorithm to check the validity of a formula. It is a very well-known problem which is decidable but co-NP-complete. There are many algorithms for this problem. In this paper, an educationally oriented implementation of Semantic Tableaux method is described. The program has…
Descriptors: Mathematical Formulas, Problem Solving, Teaching Methods, Mathematical Logic
Falsetti, Marcela; Alvarez, Marisa – International Journal of Research in Education and Science, 2015
We present an analysis of students' formal constructions in mathematics regarding to syntactic, semantic and pragmatic aspects. The analyzed tasks correspond to students of the Course of Mathematics for the admission to the university. Our study was qualitative, consisted in the identification, analysis and interpretation, focused in logic…
Descriptors: Mathematics, Mathematical Logic, Mathematics Instruction, Thinking Skills
Mapping among Knowledge Bases and Data Repositories: Precise Definition of Its Syntax and Semantics.
Peer reviewedBlanco, Jose Miguel; Goni, Alfredo; Illarramendi, Arantza – Information Systems, 1999
Discussion of data repositories available in global information systems focuses on facilitating access by providing semantic views. Highlights include the mapping relation; syntax and semantics of the mapping; query formulation and processing; terminological systems for semantic views; and relational algebraic expressions. (LRW)
Descriptors: Algebra, Databases, Global Approach, Information Systems
Durand-Guerrier, Viviane; Arsac, Gilbert – Educational Studies in Mathematics, 2004
It is widely attested that university students face considerable difficulties with reasoning in analysis, especially when dealing with statements involving two different quantifiers. We focus in this paper on a specific mistake which appears in proofs where one applies twice or more a statement of the kind "for all X, there exists Y such that R(X,…
Descriptors: Mathematics Teachers, Semantics, Calculus, Algebra

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