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Communication, Goals, and Counterexamples in Syllogistic Reasoning.

  • We report on a study on syllogistic reasoning conceived with the idea that subjects' performance in experiments is highly dependent on the communicative situations in which the particular task is framed. From this perspective, we describe the results of Experiment 1 comparing the performance of undergraduate students in 5 different tasks. This between-subjects comparison inspires a within-subject intervention design (Experiment 2). The variations introduced on traditional experimental tasks and settings include two main dimensions. The first one focuses on reshaping the context (the pragmatics of the communication situations faced) along the dimension of cooperative vs. adversarial attitudes. The second one consists of rendering explicit the construction/representation of counterexamples, a crucial aspect in the definition of deduction (in the classical semantic sense). We obtain evidence on the possibility of a significant switch in students' performance and the strategies they follow. Syllogistic reasoning is seen here as a controlled microcosm informative enough to provide insights and we suggest strategies for wider contexts of reasoning, argumentation and proof.

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Author:Francisco Vargas, Keith Stenning
Document Type:Working Paper
Publishing Institution:Pädagogische Hochschule Ludwigsburg
Release Date:2021/07/23
Year of Completion:2020
Tag:communicative situations; reasoning,argumentation and proof; subjects' performance in experiments; syllogistic reasoning; undergraduate students
GND Keyword:Argumentieren; Kommunikation; Mathematikdidaktik; Studium; empirische Studie
Issue:Frontiers in Education, 17 April 2020
Abruf des Volltextes unter angegebener DOI.
Faculties:Fakultät für Kultur- und Naturwissenschaften
DDC class:500 Naturwissenschaften und Mathematik / 510 Mathematik
Open Access:Ja
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International