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Graduate Course Proposal Form Submission Detail - MAE6370

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Current Status: Approved, Permanent Archive - 2005-11-10
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  1. 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 Email
    Denisse Thompson or Gladis Kersaint 9742687 thompson@tempest.coedu.usf.edu

  2. 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
    -

    Prerequisites

    Admission to a graduate program in mathematics education or CI.

    Corequisites

    Course Description

    This course examines high school mathematics from an advanced perspective and makes connections between college level mathematics and the mathematics of the secondary school.


  3. Justification

    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?

    No.

    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.


  4. Other Course Information

    A. Objectives

    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

    D. Textbooks

    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


  5. Course Concurrence Information



- if you have questions about any of these fields, please contact chinescobb@grad.usf.edu or joe@grad.usf.edu.