Identifying competency demands in calculus textbook examples: The case of integrals

Özgeldi, Meriç

This study investigates how three widely used calculus textbooks realise integrals as a potential to prompt mathematical competencies, adapting the rating scheme used in Boesen et al. (The Journal of Mathematical Behavior, 33:72–87, 2014), Pettersen and Braeken (International Journal of Science and Mathematics Education, 17(2):405–425, 2019) and Turner, Blum and Niss (2015). For this purpose, the study analysed examples (n = 444) about integrals—specifically, to assess the extent to which solving those examples calls for the activation of a particular set of mathematical competencies:Communication; Devising Strategies; Mathematising; Representation; Using Symbols,Operations and Formal Language [Symbols and Formalism]; Reasoning and Argument. The competency demand of the examples was ...