What does it mean as a teacher to " know infinity " ? The case of convergence series
Résumé
This paper aims to explore the knowledge of infinity that three teachers deploy in making methodological suggestions for dealing with the convergence of a geometric series in a secondary level lesson. We will also illustrate the potential of the model of professional knowledge known as Mathematics Teacher's Specialised Knowledge (MTSK) as a tool for analysing the knowledge of infinity underpinning the three proposals. The mathematical knowledge revealed is considered, alongside suggestions for further exploration of the pedagogical knowledge of the three teachers regarding infinity.
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