Calculus, perhaps more than other areas of mathematics, has a reputation for being steeped with procedures. In fact, through the years, it has been noticed of many students getting caught in the trap of trying to memorize algorithms and rules without developing associated concept knowledge. Specifically, students often struggle with the…

Focusing on the role of language in learning, this paper discusses schemata and symbolic thinking that help students learn from unfamiliar experiences. The first part of the paper introduces the idea of symbolic thinking by comparing students encountering new ideas with convention-goers making their way around a new city. The section suggests that…