2018
DOI: 10.12973/iejme/3983
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Analysis of Didactical Trajectories in Teaching and Learning Mathematics: Overcoming Extreme Objectivist and Constructivist Positions

Abstract: There is currently a consensus in mathematics education that favors constructivist instructional models, which are based on the inquiry of knowledge by students. There are, however, different views that consider objectivist models, based on knowledge transmission (direct or explicit teaching) more effective in the teaching of scientific disciplines. In this article we analyze an instructional process on elementary probability directed to prospective primary education teachers, which was designed under construc… Show more

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Cited by 6 publications
(11 citation statements)
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“…Besides being applied to students, the onto-semiotic approach can also be used to analyze the learning flow applied by the teacher. The didactical learning trajectories based on the constructive and objective models can be analyzed using the onto-semiotic approach (Godino, Rivas, Burgos, & Wilhelmi, 2018).…”
Section: Introductionmentioning
confidence: 99%
“…Besides being applied to students, the onto-semiotic approach can also be used to analyze the learning flow applied by the teacher. The didactical learning trajectories based on the constructive and objective models can be analyzed using the onto-semiotic approach (Godino, Rivas, Burgos, & Wilhelmi, 2018).…”
Section: Introductionmentioning
confidence: 99%
“…This teaching system, ignoring the natural language of students 11 , showed very weak results. It was sharply criticized by the supporters of the Ilminsky system [13,15,25,26], which allowed teaching in the native language, which had some positive results in the Volga and Ural regions.…”
Section: Discussionmentioning
confidence: 99%
“…Various pedagogies propose different approaches to implementing teaching and learning activities. The objectivist learning model suggests the transfer of knowledge is best delivered directly by instructors through traditional lectures because knowledge is objective rather than subjective [10]. In this model, the instructor acts as an expert on the topics learned.…”
Section: Crisis Resilience Pedagogymentioning
confidence: 99%