Teaching and Learning of Calculus

How Much Reform?

“…Research into traditional and reformed calculus is motivated not just by the relationship between calculus textbooks and teachers, but also by the relationship between calculus textbooks and students (Bressoud et al, 2016). Research reveals that the interactions among mathematics textbooks, teachers, and students are complex (Sevimli, 2016).…”

“…Although reform in calculus has garnered much attention from researchers, particularly in relation to pedagogy and curriculum (Bressoud et al, 2016;Dunnigan & Halcrow, 2020;Garner & Garner, 2001;Keynes & Olson, 2000), most of these researchers provide little analysis of textbooks. For example, Dunnigan and Halcrow (2020) describe a restructuring of the course Applied Calculus at their university, which focused on increasing students' conceptual understanding and eliminating large lectures, but failed to address the role of textbooks.…”

Liberal Arts Inspired Mathematics: A Report OR How to bring cultural and humanistic aspects of mathematics to the classroom as effective teaching and learning tools

“…They have had mathematics for ten to twelve years in school, but their knowledge is weak. 5 Or perhaps I should phrase it like this: These students may have a lot of implicit and disconnected 3 I will cite other authors when I have a specific reference, but mostly I am not in that situation. I know I have picked up from many sources, but I do believe that correct referencing in a subject like this is practically impossible.…”

“…4 All these references are written in Swedish. 5 If any such student is reading this, please don't be offended. I'm not saying you are dumb.…”

“…They would be better served by a more varied mathematics curriculum along the lines of quantitative literacy. 24 The discussion is further commented upon by David Bresssoud in [5] who stresses that if we want transfer to occur, we must teach for transfer.…”