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Master Syllabus

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Administrative Unit: Computer and Mathematical Sciences Department
Course Prefix and Number: MATH 493
Course Title: Senior Seminar in Mathematics for Teachers
Number of:
Credit Hours 3
Lecture Hours 3
Lab Hours 0
Catalog Description: A seminar course required as a culminating experience for mathematics majors who are seeking certification to teach at the elementary, middle or secondary levels. Students analyze problems from elementary, middle and high school mathematics from an advanced perspective and explicitly make connections between the concepts taught in elementary, middle and secondary and their more abstract analogues encountered in undergraduate mathematical courses. A grade of C or higher is required. Prerequisites: Senior standing, admission to the Teacher Certification Program, EDUC 358 or EDUC 359 or EDUC 360.
Prerequisite(s) / Corequisite(s): Senior standing, admission to the Teacher Certification Program, EDUC 358 or EDUC 359 or EDUC 360.
Course Rotation for Day Program: Offered Fall and Spring.
Text(s): Most current editions of the following:

The Heart of Mathematics: An Invitation to Effective Thinking
By Burger & Starbird (Wiley)
Course Objectives
  • To integrate and synthesize the content from their mathematics and education courses.
  • To recognize a mathematical concept in various forms and analyze its underlying properties.
  • To explore elementary, middle, and high school mathematics from a deeper viewpoint, making connections between content strands.
    Measurable Learning
  • Describe and explain the theory and application of algebra, geometry, trigonometry, probability and analysis.
  • Identify and apply appropriate technologies to solve mathematical problems.
  • Write rigorous mathematical proofs.
  • Solve real-world problems from a variety of disciplines using mathematical techniques.
  • Approach a topic in calculus from the four perspectives: numerical, graphical, analytical and verbal.
  • Make connections between topics taught in elementary, middle, and high school mathematics and topics studied in undergraduate mathematics courses.
  • Analyze and generalize problems and their solutions.
    Topical Outline:

    The Major Field Test in Mathematics will be administered and students will explore the following topics from an Advanced Perspective (all materials will be archived in the students’ portfolios):

  • An Introduction to Rigorous Thought: Problem Solving 
  • Number Theory 
  • Infinity
  • Geometry 
  • Topology 
  • Graph Theory 
  • Fractalist Chaos 
  • Probability 
  •  Statistics 
  • Preparing for the Praxis and MFT

    Culminating Experience Statement:

    Material from this course may be tested on the History Assessment Test (HAT) administered during the Culminating Experience course for the degree. 
    During this course the ETS Proficiency Profile may be administered.  This 40-minute standardized test measures learning in general education courses.  The results of the tests are used by faculty to improve the general education curriculum at the College.


    Recommended maximum class size for this course: 10

    Library Resources:

    Online databases are available at You may access them from off-campus using your CougarTrack login and password when prompted.

    Prepared by: Ann Schlemper Date: November 7, 2013
    NOTE: The intention of this master course syllabus is to provide an outline of the contents of this course, as specified by the faculty of Columbia College, regardless of who teaches the course, when it is taught, or where it is taught. Faculty members teaching this course for Columbia College are expected to facilitate learning pursuant to the course objectives and cover the subjects listed in the topical outline. However, instructors are also encouraged to cover additional topics of interest so long as those topics are relevant to the course's subject. The master syllabus is, therefore, prescriptive in nature but also allows for a diversity of individual approaches to course material.

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