An Expanded Version of Toulmin’s Model to Analyze Students’ Mathematical Reasoning in a Dynamic Software Environment
(English)Manuscript (preprint) (Other academic)
Toulmin’s model of argumentation has been used to analyse mathematical reasoning in a wide range of contexts. While conducting a recent case study of students’ mathematical reasoning in a dynamic software environment, it proved advantageous to develop an expanded version of this model to deepen the data analysis. Since this expanded model served well to discern and illustrate characteristic features in students’ reasoning, the question arose of whether it could also be useful in other cases. The present paper addresses this question, by considering further examples of students working in pairs in a dynamic software environment. The model was examined using data from two different studies, varying in the types of task and level of mathematics concerned. Transcribed data from these studies were interpreted in terms of the model to examine its applicability. Assessment of its use in all three studies shows that the expanded version of Toulmin’s model can enhance its capacity to analyse reasoning in this type of setting. At the same time, the operationalization of the model in concrete situations can sometimes be debatable, emphasising the importance of elucidating the interpretation principles used.
Toulmin’s model, Mathematical reasoning, Dynamic mathematics software
IdentifiersURN: urn:nbn:se:kau:diva-35036OAI: oai:DiVA.org:kau-35036DiVA: diva2:784039