6533b7d5fe1ef96bd12639f7

RESEARCH PRODUCT

Theoretical and Empirical Description of Phases in the Proving Processes of Undergraduates

Katharina Kirsten

subject

proving process[SHS.EDU]Humanities and Social Sciences/Education[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO][SHS.EDU] Humanities and Social Sciences/Education[MATH.MATH-HO] Mathematics [math]/History and Overview [math.HO]proving cycle THEORETICAL BACKGROUNDproof constructionphasesproving cycle

description

International audience; In the presented study we adopt a process-oriented perspective on proving in order to gain further insights into relevant actions and typical obstacles in undergraduates' approaches to proving. The primary aim is to theoretically and empirically describe different phases, understood as bunches of intentionally closely related actions of proving. Therefore, we suggest a theoretical model of the proving process and confirm empirically that it can be used as an analytical tool for proving approaches. Based on this model, several proving processes have been analysed. In this paper we present first findings regarding the contribution of each phase to proof construction as well as the general structure of the proving process.

https://hal.archives-ouvertes.fr/hal-01849959/file/INDRUM2018_Kirsten.pdf