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Teaching Calculus in the Secondary School

General

Prefix

MTHE

Course Number

441

Course Level

Undergraduate

Department/Unit(s)

College/School

College of Science and Engineering

Description

Fundamental concepts of calculus aligned with methods of teaching and learning those concepts. Emphasizing the role of discovery method through real-world applications of calculus. Use of technology to develop calculus concepts. Calculus concepts through various forms of proof.

Prerequisites

Credits

Min

3

Max

3

Repeatable

No

Goals and Diversity

MN Goal Course

No

Cultural Diversity

No

Learning Outcomes

Outcome

Identify the roots of calculus in algebra and geometry, and how calculus was invented.

Outcome

Apply concepts of calculus to solve problems in physics, natural sciences, and economics.

Outcome

Identify the theory behind calculus, through which, they will be exposed to the most rigorous and accurate human endeavor.

Outcome

Practice how to motivate high school students through real-world problems.

Outcome

Analyze the development of calculus concepts through word problems and the use of technology.

Outcome

Identify the role of empirical approach toward conjecture, counterexample, and proof.

Outcome

Discuss different aspects of proof: logical/symbolic, computer, and picture.

Course Outline

Course Outline

History in the teaching of calculus. 15% MAA and NCTM guidelines. 10% Calculus reform. 15% Teaching limits. 20% Technology in making and verifying conjectures. 10% Graphical, symbolic, and computational uses. 20% Calculus lesson plans. 10%

Dependencies

Programs

MTHE441 is a completion requirement for: