Department of Applied Mathematics at the University of Colorado at Boulder
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Speaker:  

Murray Cox

Date of Talk:  

03/12/13

Affiliation:  

Department of Mathematics and Physical Sciences, Southwestern Adventist University

Title:  

It's Not Weird if it Works

Abstract

The meaning of the word "Mathema" can be translated as "What one learns". In the process of learning mathematics and teaching mathematics certain questions naturally arise: how does one think mathematically, how can one communicate mathematics efficiently, and how does learning in mathematics occur? Thinking mathematically is a learned skill. The mental acquisition of complex analytical concepts can be developed and improved.

The pedagogical issues in learning mathematics typically arise from simple misunderstandings that weave their way into the thought process. Learning to think mathematically then becomes hampered by the "its not weird if it works" syndrome. If a person thinks in terms of misunderstood basic concepts long enough, then they develop a defective foundation upon which subsequent thought is based. As a result, any justifying of further investigations or new ideas can only be accomplished with great effort and mental gymnastics. Formulating new ideas becomes a burden when attempting to solve higher-level questions.

The importance of thinking mathematically lies in the learning process which develops critical thinking and problem solving skills. Learning mathematics improves the thought process and helps learners solve hard challenges, handle data, and recognize mistakes in thinking and errors in arguments. Thinking mathematically is a combination of several qualities but eliminating the fear of mathematics is at the heart of improved learning and great instruction.