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Bosse, Michael J.; Nandakumar, N. R. – Mathematics and Computer Education, 2004
The advent of powerful Computer Algebra Systems (CAS) continues to dramatically affect curricula, pedagogy, and epistemology in secondary and college algebra classrooms. However, epistemological and pedagogical research regarding the role and effectiveness of CAS in the learning of algebra lags behind. This paper investigates concerns regarding…
Descriptors: Epistemology, Algebra, Higher Education, Secondary Education
The Beauty of "and" and "or": Connections within Mathematics for Students with Learning Differences.
Peer reviewedBosse, Michael J. – Mathematics and Computer Education, 2003
Investigates a way to assist students with learning differences. Considers mathematical connections appropriate in middle grades through college mathematics centered around the words "and" and "or" within the fields of logic, set theory, algebra, number theory, and probability. Teachers and students should be encouraged to investigate mathematical…
Descriptors: Higher Education, Learning Problems, Mathematical Applications, Mathematical Concepts
Peer reviewedBosse, Michael J.; Hurd, Deborah A. C. – Mathematics and Computer Education, 2002
Demonstrates how male mathematicians historically controlled the professional and academic activities of female mathematicians. Attempts to explain some historical factors leading to the relatively small number of women that enter the field of mathematics education rather than mathematics research. (KHR)
Descriptors: Educational History, Females, Gender Issues, Historical Interpretation
Peer reviewedBosse, Michael J.; Liu, Fengshan; Nandakumar, N. R. – Mathematics and Computer Education, 2002
Both computers and calculators are limited by architecture, operating system, and software, to some predetermined level of precision within decimal number presentation and calculation. However, there exists a base that produces a terminating decimal. (MM)
Descriptors: Computation, Computer Uses in Education, Decimal Fractions, Higher Education
Peer reviewedBosse, Michael J. – Mathematics and Computer Education, 2001
This brief investigation exemplifies such considerations by relating concepts from number theory, set theory, probability, logic, and calculus. Satisfying the call for students to acquire skills in estimation, the following technique allows one to "immediately estimate" whether or not a number is prime. (MM)
Descriptors: Mathematics Education, Number Concepts, Prime Numbers, Probability
Peer reviewedBosse, Michael J.; Nandakumar, N. R. – Mathematics and Computer Education, 1998
Considers a trio of students who collaboratively discover a generalization while doing their calculus homework. Describes the argument as a play which portrays a relatively natural situation cleansed from unrefined mathematical language, errors, and tangential discussions unrelated to the mathematics of the situation. (ASK)
Descriptors: Calculus, Cooperative Learning, Group Activities, Higher Education

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