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Strickland, S.; Rand, B. – PRIMUS, 2016
This paper describes a framework for identifying, classifying, and coding student proofs, modified from existing proof-grading rubrics. The framework includes 20 common errors, as well as categories for interpreting the severity of the error. The coding scheme is intended for use in a classroom context, for providing effective student feedback. In…
Descriptors: Guidelines, Undergraduate Students, Classification, Mathematics Instruction
Cline, Kelly; Parker, Mark; Zullo, Holly; Stewart, Ann – PRIMUS, 2012
One technique for identifying and addressing common student errors is the method of classroom voting, in which the instructor presents a multiple-choice question to the class, and after a few minutes for consideration and small group discussion, each student votes on the correct answer, often using a hand-held electronic clicker. If a large number…
Descriptors: Voting, Group Discussion, Calculus, Mathematics Instruction
Gordon, Sheldon P. – PRIMUS, 2005
The possibility of approximating a function with a linear combination of exponential functions of the form e[superscript x], e[superscript 2x], ... is considered as a parallel development to the notion of Taylor polynomials which approximate a function with a linear combination of power function terms. The sinusoidal functions sin "x" and cos "x"…
Descriptors: Mathematics, Theories, Mathematics Education, Calculus