The American Mathematical Association of Two-Year Colleges
 
Developing Simultaneous
Linear Equations and Rational Equations		 by: Michael J. Boss´e &
N. R. Nandakumar

Michael J. Boss´e is an Associate Professor of Mathematics Education
at Morgan State University. He received his PhD from the University of
Connecticut. His professional interests within the field of mathematics
education include elementary and secondary mathematics education,
pedagogy, epistemology, learning styles, and the use of technology in
the classroom.
E-mail: mbosse@moac.morgan.edu

N.R. Nandakumar is a Professor of Mathematics at Delaware State
University. He received his PhD in Mathematics and a Master’s in
Computer Science from the University of Illinois. His research interests
include functional analysis, numerical analysis, and computer science.
Email: nnandaku@desu.edu
To demonstrate concepts or rapidly create quizzes, teachers commonly encounter the need to quickly create mathematical examples. Unfortunately, by producing undesirable or overly complex solutions, extemporaneously created examples can become problematic, create tense learning environments and become more confusing than they are worth. Experience reminds teachers that a moment of planning may avoid many difficult classroom scenarios. Solid mathematical understanding of a few techniques can greatly assist teachers to quickly develop appropriate examples with desired results. This paper considers techniques which will assist instructors in quickly developing appropriate examples with “nice” solutions when teaching rational equations and simultaneous linear equations.
 
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