Towards Improving The French’s Teaching By Mathematical Logic in The High School Second Class in Madagascar
DOI:
https://doi.org/10.54536/jnll.v4i1.5224Keywords:
French Course, Implicative Statistical Analysis, Logic, Pedagogical Innovation, ICHC-MGKAbstract
This study proposes a pedagogical innovation aimed at introducing formal logic, traditionally applied in mathematics, into the French course in the second class of high school in Madagascar. Conducted in a secondary school in Mahajanga, this research examines the effects of this approach on students’ reasoning abilities and linguistic comprehension skills. Through classroom experimentation and Implicative Statistical Analysis (ISA) using the Implicative and Cohesive Hierarchical Classification based on MGK) (ICHC-MGK) tool, students were exposed to logical concepts such as implication, equivalence, and the logical connectors AND, OR (inclusive/exclusive) within French language modules. The students’ performance indicated that this integration strengthened their reasoning skills, particularly among those with a strong linguistic foundation. However, some students continued to struggle with complex logical concepts, highlighting diverse pedagogical needs. This study thus demonstrates the interdependence between a non-linguistic discipline (mathematics) and a linguistic discipline (French). This approach has the potential to enhance the Malagasy secondary education system by fostering logical reasoning as a tool for learning French as a language of instruction. It also advocates for policymakers to implement this method in other secondary schools across Madagascar and invest in teacher training, thereby equipping students with the interdisciplinary reasoning skills essential for their future.
References
Agrawal, R., Imieliński, T., & Swami, A. (1993). Mining association rules between sets of items in large databases. Proceedings of the 1993 ACM SIGMOD International Conference on Management of Data, 207–216.
Cavalli, M., Coste, D., Crişan, A., & Van de Ven, P. (2009). Plurilingual and intercultural education as a project. Languages in Education, Languages for Education – Platform of Resources and References for Plurilingual and Intercultural Education.
Gras, R. (1979). Contribution to the experimental study and analysis of certain cognitive acquisitions and certain didactic objectives in mathematics [Doctoral dissertation, University of Rennes I, France].
Gras, R., Kuntz, P., & Briand, H. (2001). The foundations of implicative statistical analysis and some extensions for data mining. Mathematics and Social Sciences, (154).
Gras, R., & Totohasina, A. (1995). Students’ conceptions of the concept of conditional probability revealed by a data analysis method: Implication-similarity-correlation. Educational Studies in Mathematics, 28(4), 337–363.
Rakotomalala, H. F. (2019). Implicative and cohesive hierarchical classification according to the MGK measure – Application in computer science teaching [Doctoral dissertation, University of Antananarivo, Madagascar].
Rakotomalala, H. F., Ralahady, B. B., & Totohasina, A. (2018). A novel cohesive implicative classification based on and application on diagnosis on informatics literacy of students of higher education in Madagascar. In Third International Congress on Information and Communication Technology: ICICT 2018 (pp. 161–174).
Rakotomalala, H. F., & Totohasina, A. (2018). Donkeyfficient new cohesion index based on the quality measure of association rules MGK. In Second World Conference on Smart Trends in Systems, Security and Sustainability (WorldS4) (pp. 28–35).
Rakotomalala, H. F., Totohasina, A., & Diatta, J. (2017). Extraction of valid MGK association rules with support contribution. In Proceedings of the 24th meeting of the Société Francophone de Classification (SFC) (pp. 29–32).
Ratsimba-Rajohn, H. (1992). Contribution to the study of the implicative hierarchy: Application to the analysis of the didactic management of ostension and contradiction phenomena [Doctoral dissertation, University of Rennes I, France].
Ravelomanana, J. C., Razafindrabehita, L. A., Ravelojaona, V. T. F., Rakotomalala, H. F., & Totohasina, A. (2024). Interaction Between Teacher Posture, Weaving Gesture and Student Posture Using the ICHC-MGK Sofware, Case of Teaching Geometric Figures at Sacré-Cœur, Saint-Denis of Reunion. American Journal of Education and Information Technology, 8(1), 49-59. https://doi.org/10.11648/j.ajeit.20240801.16
Ravelomanana, J. C., Razafindrabehita, L. A., Ravelojaona, V. T. F., Rakotomalala, H. F., & Totohasina, A. (2024b). Interaction between the teacher’s position and the students’ study postures under ICHC-MGK, in a 3rd grade class at the Bourbon college, on Reunion Island. International Journal of Scientific Research (IRS-Journal), 2(5), 2695–2708.
Ravelomanana, J. C., Razafindrabehita, L. A., Ravelojaona, V. T. F., Rakotomalala, H. F., & Totohasina, A. (2024). Interactions and Relationships Between Teacher’s Weaving Postures and Students’ Study Postures According to ICHC-MGK at the Bourbon College, La Réunion. American Journal of Education and Information Technology, 8(2), 101-110. https://doi.org/10.11648/j.ajeit.20240802.15
Razafindrabehita, L. A., Ravelomanana, J. C., Ravelojaona, V. T. F., Rakotomalala, H. F., & Totohasina, A. (2024). Links Between the Teacher’s Atmosphere Postures and the Pupils’ Study Postures When Solving Proportionality Problems, identified under Implicative Statistical Analysis in ICHC-MGK. American Journal of Education and Technology, 4(1), 25–31. https://doi.org/10.54536/ajet.v4i1.3056.
Razafindrabehita, L. A., Ravelomanana, J. C., Ravelojaona, V. T. F., Rakotomalala, H. F., & Totohasina, A. (2024). Interaction between the Teaching/Learning of Formal Logic, Algorithms, Mathematics and French in a Multilingual and Multiethnic Context: Case of Mahajanga High School. Journal of Natural Language and Linguistics, 2(1), 53–62. https://doi.org/10.54536/jnll.v2i1.3058.
Razafindrabehita, L. A. , Ravelomanana, J. C. , Ravelojaona, V. T. F. , Rakotomalala, H. F. , & Totohasina, A. (2024). Relationships and interdependencies of the teacher’s piloting postures and the pupils’ study postures when solving proportionality problems, analysed with Implicative Statistical Analysis in ICHC-MGK. American Journal of Educational Research, 12(6), 195-200.Warshall, S. (1962). A theorem on Boolean matrices. Journal of the ACM, 9(1), 11–12. https://doi.org/10.12691/education-12-6-2.
Downloads
Published
Issue
Section
License
Copyright (c) 2026 Hery Frédéric Rakotomalala, Lwanga Albert Razafindrabehita, Juvenile Christalin Ravelomanana, Vatosoa Tsirinala Fabiola Ravelojaona, André Totohasina

This work is licensed under a Creative Commons Attribution 4.0 International License.