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.
Most current editions of the following:
The Heart of Mathematics: An Invitation to Effective Thinking
By Burger & Starbird (Wiley) Recommended
Course Learning Outcomes
Describe and explain the theory and application of algebra, geometry, trigonometry, probability and analysis.
Identify and apply appropriate technologies to solve mathematical problems.
Analyze and construct proofs of mathematical statements.
Apply mathematics to solve a variety of real world problems in other disciplines.
Describe topics from calculus from graphical, numerical, and analytical perspectives.
Make connections between topics taught in elementary, middle, and high school mathematics and topics studied in undergraduate mathematics courses.
Major Topics/Skills to be Covered:
An Introduction to Rigorous Thought: Problem Solving
Recommended maximum class size for this course: 10
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 learning outcomes and cover the subjects listed in the Major Topics/Skills to be Covered section.
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.