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Graduate Course Proposal Form Submission Detail - MAE6334

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Current Status: Approved, Permanent Archive - 2004-07-02
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  1. Department and Contact Information

    Tracking Number Date & Time Submitted
    1983 2004-02-17
     
    Department College Budget Account Number
    Secondary Education ED 172400000
     
    Contact Person Phone Email
    Denisse Thompson 42687 thompson@tempest.coedu.usf.edu

  2. Course Information

    Prefix Number Full Title
    MAE 6334 Geometry and Measurement for Middle Grades 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)
    Geo & Meas Mid Grades Tchrs
     
    Course Online? Percentage Online
    -

    Prerequisites

    Admission into the MAT in Middle Grades Mathematics or CI

    Corequisites

    Course Description

    This course examines in geometry content appropriate for middle grades mathematics teachers, including the use of technology to study geometry. Teachers experience instructional approaches appropriate for use in middle grades classrooms.


  3. Justification

    A. Please briefly explain why it is necessary and/or desirable to add this course.

    Geometry and measurement are two of the five strands in the Sunshine State Standards. Middle grades teachers need a strong conceptual understanding of geometric and measurement content and the processes appropriate for teaching geometry and measurement to

    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 is required in the MAT in Middle Grades Mathematics.

    C. Has this course been offered as Selected Topics/Experimental Topics course? If yes, how many times?

    4 (Spring 1994, Summer 2000, Summer 2001, Summer 2002 -- The course was offered with the title Geometry for Middle Grades Teachers.)

    D. What qualifications for training and/or experience are necessary to teach this course? (List minimum qualifications for the instructor.)

    Doctorate in mathematics education


  4. Other Course Information

    A. Objectives

    1. The ability to generate definitions of geometric terms and to make geometric discoveries independently and in collaboration with others;

    2. The ability to reason inductively as well as deductively by generating geometric proofs;

    3. The ability to solve problems involving geometric concepts;

    4. The ability to derive area and volume formulas for common two- and three-dimensional figures;

    5. The ability to find transformations (reflections, rotations, translations, and size changes) of common figures and to reason about properties of transformations;

    6. The ability to create tiling designs with geometric shapes;

    7. Using the tools of geometry, including geometric-drawing software (if available), to construct geometric figures and perform geometric investigations;

    8. Knowledge of major historical developments in geometry;

    9. Knowledge of research on the performance of middle school students in geometry.

    B. Learning Outcomes

    Exams or tests will evaluate students' content knowledge on the major content topics in the course. Students will have to pass the final, comprehensive exam in order to pass the course.

    Problem sets will evaluate students' ability to explore open and extended problems.

    Historical paper will give students an opportunity to explore the historical background of a geometry topic.

    External project will have students engage in a geometry content project of the instructor's design or of their own approved design.

    A journal will provide on-going evaluation of students' facility with the content of the course and emphasize the importance of writing throughout the curriculum.

    C. Major Topics

    1. Basic language of geometry and measurement

    2. Polygons and their properties, with special attention to triangles and quadrilaterals

    3. Perimeter and area of polygons and circles

    4. Pythagorean theorem

    5. Transformations (reflections, rotations, translations, and size changes)

    6. Similar figures

    7. Symmetry

    8. Three-dimensional figures and their properties

    9. Surface area and volume of three-dimensional figures

    10. Coordinates and proofs

    11. Triangle congruence proofs

    12. Circle proofs

    13. Tessellations

    D. Textbooks

    Sample Text: Beem, John K. Geometry Connections. University of Missouri-Columbia. (Draft). (Draft). To be published by Prentice Hall with 2005 copyright. This college-level text was developed as part of the Connecting Middle School and College Mathematics project funded by the National Science Foundation.

    Supplemental texts: The following units from the Connected Mathematics Project are possible texts.

    Covering and Surrounding

    Stretching and Shrinking

    Filling and Wrapping

    (Glenda Lappan, James T. Fey, William M. Fitzgerald, Susan N. Friel, and Elizabeth Difanis Phillips. Menlo P

    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.