Graduate Course Proposal Form Submission Detail - MAE6370
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- Department and Contact Information
Tracking Number Date & Time Submitted 1838 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 6370 Mathematics for High School Teachers 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) Mth HS Tchrs Course Online? Percentage Online -
Admission to a graduate program in mathematics education or CI.
This course examines high school mathematics from an advanced perspective and makes connections between college level mathematics and the mathematics of the secondary school.
A. Please briefly explain why it is necessary and/or desirable to add this course.
National recommendations, from both the mathematics and the mathematics education communities, recommend that teachers have courses that focus on developing conceptual understanding of high school mathematics. This course investigates topics from the seco
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 will be a required course in the Master of Arts in Teaching program for grades 6-12 Mathematics. The course will not service other programs.
C. Has this course been offered as Selected Topics/Experimental Topics course? If yes, how many times?
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 or related field.
- Other Course Information
There are three general objectives of the course:
1. To review, extend, and provide a deeper understanding of basic concepts and skills of high school mathematics as they relate to the teaching of these topics in secondary schools.
2. To explore topics from algebra and analysis with connections to geometry.
3. To explore topics from geometry with connections to algebra and analysis.
B. Learning Outcomes
1. Students will demonstate knowledge of major algebra topics from the high school mathematics curriculum, how those topics connect to geometry and other areas in mathematics, and applications of those concepts.
2. Students will demonstrate knowledge of major geometry topics from the high school, applications of those topics, and connections of those topics to topics in algebra or analysis.
3. Students will be able to demonstrate how number theory concepts (i.e., integer congruence, modular arithmetic, and number fields) relate to topics in the high school curriculum.
Learning outcomes will be evaluated from participation in class discussions, completion of exams, and completion of problem sets.
C. Major Topics
1. The meaning of an advanced perspective
2. Real and complex numbers
3. Functions, including historical evolution, properties of functions, and applications
4. Equations, algebraic structures of equations and the solution process
5. Integers and polynomials, including divisibility properties, induction, recursion
6. Modular arithmetic and number fields
7. Congruence, transformations, symmetry
8. Distance and similarity
9. Trigonometry, including angle measures, trig ratios, trig functions
10. Area and volume, including isoperimetric properties
11. Axiomatics and Euclidean geometry
Usiskin, Zalman, Anthony Peressini, Elena Anne Marchisotto, and Dick Stanley. Mathematics for High School Teachers: An Advanced Perspective. Upper Saddle River, NJ: Pearson Education, 2003. (or comparable textbook)
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