U N I V E R S I T Y  O F  P I T T S B U R G H

 Volume VIII, Number 1

September 2002

 

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Chancellor's Distinguished Teaching Awards
Orange’s math courses dispel stereotypes

Walter Orange, who teaches math at the University of Pittsburgh at Greensburg, is accustomed to the negative stereotype that his field is based on memorization of formulas having no relevance to the real world. Orange readily admits, “Many people hate math — including many of my new students. Therefore, it is important to address this reluctant attitude up front and to let them know that, even if they’ve had problems in the past, there’s reason to believe they will have more success now.” Ultimately, Orange sees math as a portal to many careers, ideas and even philosophies.

Orange elaborates, “Math is about understanding that there are a small number of principles that are easy to understand, and we apply these principles to a variety of problems. Increasingly, math is what we might call a ‘critical filter’ for many career paths. Even from that most practical way of looking at things, which, I think, is the way most of our students tend to think, it’s becoming increasingly difficult to say, ‘I’m never going to need this.’ ”

A proponent of engaging students through interaction, Orange enjoys interjecting insights about the history of math and its universal applications. For example, he might ask students to think about geometry as the Greeks used it, or he might share an anecdote of how Rene Descartes tried to use the Greek axiomatic method to find the secrets of life, leading to his assertion, “I think; therefore, I am.”
Orange also dispels common stereotypes about the nature of math classes when he discusses his approach to teaching: “To borrow a phrase from sports, ‘one works on one’s game.’ For me, the pleasure in teaching largely derives from the process of trying to improve what I do, whether that means tweaking the lecture, inserting another example here or replacing one there. Being honest with oneself about what can be done better is a necessary step in doing it better.

He encouraged students to practice math and challenged the class to self-discipline…It was evident that he loved teaching and cared for each student individually, whether that student was a new freshman or a nontraditional student returning to college after many years.    

-- Linda King, student

“I try to present the course information in as clear and organized a way as possible. This requires preparing thoroughly for each class, then presenting each lesson in the style and at the pace that is easiest for students to follow. I am convinced that good classes are the result of careful preparation; every excellent lesson is paired with an excellent plan. For my classes this means that each example must be carefully selected in advance, and each definition and proof must be already written in its most effective form.

“In addition to preparation, pace is the most important variable in teaching math. Students need the appropriate amount of time to consider each step. The more I say, the less weight listeners give to each word and each sentence. More is not better; better is better.”
Orange asserts, “Instruction must be an interactive process. Leaving some space in my presentations allows me to read the students’ faces for signs of understanding or uncertainty and gives them more opportunities to interject their questions, which I urge them to do. Since some are too shy to ask questions, by taking the time to look at their faces, I can see that they don’t understand, even if they’re not willing to speak up.”

Orange also believes that “Part of our duty as instructors is to provide a professional example for students. The example we set means much more than we can imagine. It’s important that they see that we’re prepared for each class, continually trying to improve instruction, and willing to meet with them. Through courtesy and a caring attitude we should show that we care personally.”

Orange, who teaches a variety of math courses, began his career as a high school teacher, and then worked in industry as a statistical consultant and software engineer. When he was called upon to present statistical seminars to employees, he realized how much he loved and missed teaching and was motivated to obtain his Ph.D. to teach at the college level.

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