Graduate Course Proposal Form Submission Detail - MAE6336
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- Department and Contact Information
Tracking Number Date & Time Submitted 1837 2005-09-11 Department College Budget Account Number Secondary Education ED 172400000 Contact Person Phone Denisse Thompson or Gladis Kersaint 9742687 firstname.lastname@example.org
- Course Information
Prefix Number Full Title MAE 6336 Topics in Teaching Calculus Is the course title variable? N Is a permit required for registration? N Are the credit hours variable? N Is this course repeatable? If repeatable, how many times? 0 Credit Hours Section Type Grading Option 3 C - Class Lecture (Primarily) R - Regular Abbreviated Title (30 characters maximum) Top Tch Calc Course Online? Percentage Online -
Admission to a graduate program in mathematics education or CI.
This course examines issues related to teaching calculus in secondary schools.
A. Please briefly explain why it is necessary and/or desirable to add this course.
Many schools now offer secondary students courses in calculus, including Advanced Placement Calculus. Teachers need a variety of instructional approaches for use in high school classrooms in this content area.
B. What is the need or demand for this course? (Indicate if this course is part of a required sequence in the major.) What other programs would this course service?
This course will be an elective in our Master of Arts program. Students in the new Master of Arts in Teaching for grades 6-12 mathematics can choose to take either this course or MAE 6339 Topics in Teaching Probability and Statistics.
C. Has this course been offered as Selected Topics/Experimental Topics course? If yes, how many times?
This course has been offered several times, but not since 1995.
D. What qualifications for training and/or experience are necessary to teach this course? (List minimum qualifications for the instructor.)
Instructors should have doctorates in mathematics education
- Other Course Information
There are four general objectives of the course:
1. To review, extend, and provide a deeper understanding of basic concepts and skills in calculus as they relate to the teaching of these topics in secondary schools.
2. To discuss strategies for teaching these concepts and skills to secondary school students, particularly with the growth of graphing calculators and other technologies in the schools.
3. To review current and relevant research related to the teaching of calculus.
4. To examine and discuss current curricular issues as they relate to the teaching of calculus concepts to a broader population.
B. Learning Outcomes
1. Students will demonstrate conceptual knowledge of the basic concepts of calculus taught at high school.
2. Students will demonstrate techniques for using graphing calculator technology to teach fundamental concepts in calculus at the secondary level.
3. Students will be able to discuss current research related to the teaching of calculus.
Evaluation of student learning outcomes will occur through participation in class discussions and sharing of connections to the secondary classroom; through completion of exams; through the development of a series of lessons in calculus that incorporate technology, applications, and/or interdisciplinary connections; through completion of a research paper about a topic in calculus of interest and use to them in their own classroom; through other miscellaneous assignments, such as written abstracts of classroom based articles on the teaching of calculus.
C. Major Topics
1. Historical connections to calculus
2. Recommendations for calculus topics in the secondary classroom
3. Advanced Placement curricula
5. Trigonometric functions
6. Conic sections
8. Derivatives and their applications
9. Integrals and their applications
10. Infinite series
Barnes, Mary. Investigating Change: An Introduction to Calculus for Australian Schools. Curriculum Corporation, (1993) Australia. (This is a sequence of 10 units about Calculus and teaching calculus.)
Possible Additional Readings:
Aspenwall, Leslie and Shaw Kenneth L. “Representations in Calculus: Two Contrasting Cases.” Mathematics Teacher, 95 (September 2002: 434 – 439.
Dodge, Walter and Viktora, Steve. “Thinking out of the Box . . . Problem.” Mathematics Teacher, 95 (November 2002): 568 – 574.
Ferrini-Mundy, Joan and Lauten, Darien. “Learning about Calculus Learn
E. Course Readings, Online Resources, and Other Purchases
F. Student Expectations/Requirements and Grading Policy
G. Assignments, Exams and Tests
H. Attendance Policy
I. Policy on Make-up Work
J. Program This Course Supports
- Course Concurrence Information