This document discusses problem-based learning (PBL) pedagogy and its application to a Calculus curriculum. PBL aims to develop students' problem solving skills through inquiry-driven problems. It encourages creativity, communication, collaboration and critical thinking. PBL is directly related to Common Core standards involving problem solving, reasoning, argumentation and using appropriate tools. The document outlines aspects of PBL including discourse, assessment, pedagogy and creating a safe environment for risk-taking. Challenges of applying PBL to the AP Calculus syllabus are also discussed.
13. ap bc philosophy
Calculus AB and Calculus BC are primarily concerned with
developing the students’ understanding of the concepts of
calculus and providing experience with its methods and
applications. The courses emphasize a multirepresentational
approach to calculus, with concepts, results, and problems
being expressed graphically, numerically, analytically, and
verbally. The connections among these representations also
are important.
Broad concepts and widely applicable methods are
emphasized. The focus of the courses is neither
manipulation nor memorization of an extensive taxonomy of
functions, curves, theorems, or problem types. Thus,
although facility with manipulation and computational
competence are important outcomes, they are not the core
of these courses
http://apcentral.collegeboard.com/apc/public/repository/ap-calculus-course-description.pdf