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Advanced Mathematics for Secondary Teachers: Course Portfolio
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The course the portfolio describes is a capstone course in mathematics primarily ...

The course the portfolio describes is a capstone course in mathematics primarily aimed at future high school mathematics teachers. Bennett decided to write a course portfolio for this course as a way to pass the course along to other faculty members that will teach it in the future. Thus, the central purpose of this portfolio is to be a course record, suitable for other faculty members in the department to use as the main resource when they teach the course.

Subject:
Mathematics
Material Type:
Reading
Teaching/Learning Strategy
Provider:
Carnegie Foundation
Provider Set:
Carnegie Academy for the Scholarship of Teaching and Learning in Higher Education
Author:
Curtis Bennett, Carnegie Foundation
Calculus Conversations: Making Student Thinking Visible
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The difficulty that many calculus students face is their inability to apply ...

The difficulty that many calculus students face is their inability to apply methods and concepts used in practiced problems to new situations. This is not only a cause for concern in their calculus courses but also in subsequent science and engineering courses where they need to use the fundamental principles and methods of calculus. This project began as an attempt to create a course activity that would help students improve their ability to transfer their knowledge across application domains. In the end, Salem and Michael were unable to determine how effective the activity was in addressing the problem of transfer. However, they were able to formulate a simple but useful characterization of students' approaches to solving out-of-context problems.

Material Type:
Reading
Teaching/Learning Strategy
Provider:
Carnegie Foundation
Provider Set:
Carnegie Academy for the Scholarship of Teaching and Learning in Higher Education
Author:
Anita Salem
Renee Michael, Carnegie Foundation