International Journal of Mathematical Education in Science and Technology
2012 Volume 43, Number 4
Table of Contents
Number of articles: 14
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Assessment of Factors Impacting Success for Incoming College Engineering Students in a Summer Bridge Program
John R. Reisel, Marissa Jablonski, Hossein Hosseini & Ethan Munson
A summer bridge program for incoming engineering and computer science freshmen has been used at the University of Wisconsin-Milwaukee from 2007 to 2010. The primary purpose of this program has been... More
pp. 421-433
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Measuring Student Learning Using Initial and Final Concept Test in an STEM Course
Autar Kaw & Ali Yalcin
Effective assessment is a cornerstone in measuring student learning in higher education. For a course in Numerical Methods, a concept test was used as an assessment tool to measure student learning... More
pp. 435-448
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Tour of a Simple Trigonometry Problem
Kin-Keung Poon
This article focuses on a simple trigonometric problem that generates a strange phenomenon when different methods are applied to tackling it. A series of problem-solving activities are discussed,... More
pp. 449-461
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Mathematicians' Perspectives on Their Pedagogical Practice with Respect to Proof
Keith Weber
In this article, nine mathematicians were interviewed about their why and how they presented proofs in their advanced mathematics courses. Key findings include that: (1) the participants in this... More
pp. 463-482
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A Complementary Measure of Heterogeneity on Mathematical Skills
Eugenio M. Fedriani & Rafael Moyano
Finding educational truths is an inherently multivariate problem. There are many factors affecting each student and their performances. Because of this, both measuring of skills and assessing... More
pp. 483-497
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Ask Marilyn in the Mathematics Classroom: Probability Questions
Francis J. Vasko
Since 1986, Marilyn Vos Savant, who is listed in the "Guinness Book of World Records Hall of Fame" for the highest IQ, has had a weekly column that is published in "Parade Magazine." In this column... More
pp. 499-503
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Sequence Factorial and Its Applications
Muniru A. Asiru
In this note, we introduce sequence factorial and use this to study generalized M-bonomial coefficients. For the sequence of natural numbers, the twin concepts of sequence factorial and generalized... More
pp. 504-510
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On the Construction of Involutory Rhotrices
S Usaini
An involutory matrix is a matrix that is its own inverse. Such matrices are of great importance in matrix theory and algebraic cryptography. In this note, we extend this involution to rhotrices and... More
pp. 510-515
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Parametric Improper Integrals, Wallis Formula and Catalan Numbers
Thierry Dana-Picard & David G. Zeitoun
We present a sequence of improper integrals, for which a closed formula can be computed using Wallis formula and a non-straightforward recurrence formula. This yields a new integral presentation... More
pp. 515-520
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A Thing of Beauty Is a Joy for Ever
V K. Srinivasan
Three unheralded results, two in Coordinate Geometry and the other in Plane Geometry, provide three proofs of a theorem dubbed by this author as "The Fundamental Theorem". The above theorem offers ... More
pp. 521-538
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A Note on Morley's Triangle Theorem
Nancy Mueller, Mohan Tikoo & Haohao Wang
In this note, we offer a proof of a variant of Morley's triangle theorem, when the exterior angles of a triangle are trisected. We also offer a generalization of Morley's theorem when angles of an ... More
pp. 538-548
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Slip and Slide Method of Factoring Trinomials with Integer Coefficients over the Integers
William A. Donnell
In intermediate and college algebra courses there are a number of methods for factoring quadratic trinomials with integer coefficients over the integers. Some of these methods have been given names... More
pp. 548-553
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Pythagorean Fibonacci Patterns
A G. Shannon & J V. Leyendekkers
This article re-considers some interrelations among Pythagorean triads and various Fibonacci identities and their generalizations, with some accompanying questions to provoke further development by... More
pp. 554-559
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Self-Replicating Quadratics
Christopher S. Withers & Saralees Nadarajah
We show that there are exactly four quadratic polynomials, Q(x) = x [superscript 2] + ax + b, such that (x[superscript 2] + ax + b) (x[superscript 2] - ax + b) = (x[superscript 4] + ax[superscript ... More
pp. 559-561