By Assad Ebrahim, on April 15th, 2010 (7,089 views)
Topic: Education
Students who are hardworking and otherwise successful, but whose peers, mentors, and home environment are mostly nontechnical and disengaged from the ideas behind science and technology, are at substantially higher risk of disorientation, dissatisfaction, and disillusionment with mathematics and science.
In this article, I’ll develop this conjecture and suggest an approach that incorporates philosophical and humanistic elements into technical subjects. To reach and engage a broader popluation of students is critical if mathematics education is to directly contribute to the technical (& technological) literacy of a broader population of students.
Continue reading this article…
By Assad Ebrahim, on April 15th, 2010 (6,893 views)
Topic: Education, Phenomenology
An examination of mathematical methods and the search for mathematical meaning.
During your studies of mathematics, physics and engineering, you may find yourself distracted or troubled by meta questions about mathematics — questions that fall outside the syllabi of most of the coursework that you’ll take.
For those for whom this itch is persistent, what follows is an outline and reading list for a Course in the Philosophy and Foundations of Mathematics. Among the topics included are the relation of mathematics to science, the examination of mathematical method, and the search for mathematical meaning.
Continue reading this article…
By Assad Ebrahim, on February 25th, 2010 (29,843 views)
Topic: Mathematics, Technical
Updated! February 5, 2017
The value of zero raised to the zero power, , has been discussed since the time of Euler in the 18th century (1700s). There are three reasonable choices: 1,0, or “indeterminate”. Despite consensus amongst mathematicians that the correct answer is one, computing platforms seem to have reached a variety of conclusions: Google, R, Octave, Ruby, and Microsoft Calculator choose 1; Hexelon Max and TI36 calculator choose 0; and Maxima and Excel throw an error (indeterminate). In this article, I’ll explain why, for discrete mathematics, the correct answer cannot be anything other than 0^0=1, for reasons that go beyond consistency with the Binomial Theorem (Knuth’s argument).
Continue reading this article…
By Assad Ebrahim, on January 2nd, 2010 (26,274 views)
Topic: Phenomenology
What are the characteristics of mathematics, especially contemporary mathematics?
I’ll consider five groups of characteristics:
 Applicability and Effectiveness,
 Abstraction and Generality,
 Simplicity,
 Logical Derivation, Axiomatic Arrangement,
 Precision, Correctness, Evolution through Dialectic…
Continue reading this article…
By Assad Ebrahim, on December 30th, 2009 (5,522 views)
Topic: Phenomenology
Can a definition be given that captures the meaning of Mathematics across the millennia of its recorded history? What unites the practice of mathematics throughout its history and into the present time?
In this article, I will try for a short answer by proceeding iteratively — convergence will be reached in two iterations….
Continue reading this article…

Reading List… MathematicsApplications
MathematicsTechnical
MathematicsPhenomenology
Mathematics Education
Advanced Technology
Programming / Software Engineering

2,008 feed subscribers
