Let’s examine the following two-point boundary-value problem:
Notice the first-order derivative term is missing from the differential equation. This omission is made without the loss...
Podcast: DownloadHow should axioms be justified? By appeal to intuition, or sensory perception? Or are axioms legitimated merely indirectly, by their logical consequences? Plato...
Podcast: DownloadEuclid’s Elements, read backwards, reduces complex truths to simpler ones, such as the Pythagorean Theorem to the parallelogram area theorem, and that in...
Basically, there are two different types of line in mathematics and generally these are straight lines and curved lines.
There are five different types of...
Quick math-personality quiz: What is seven-and-one-fourth minus three-fourths, expressed as a mixed number (a whole number plus a proper fraction)?
What matters isn’t what answer...
Podcast: DownloadPhilosophical movements in the 17th century tried to mimic the geometrical method of the ancients. Some saw Euclid—with his ruler and compass in...
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9 Reasons for Using Spreadsheets in Schools – What If Spreadsheet Math
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VisiCalc -- The Visible Calculator 1979
Spreadsheets are equity platforms available to...
In 3rd grade, students are learning to measure length in fraction units. This skill combined with understanding perimeter and the attributes of 2-dimensional shapes...
I gave a talk for the Food for Thought seminar for the Notre Dame philosophy department.
The topic concerned definite descriptions, particularly the semantics...
Like many other multi-step 3rd grade skills, rounding numbers in 3rd grade can be extremely complicated. Rounding requires so much attention to detail that...
3rd graders continue to develop their understanding of measurement by learning about liquid volume.
Liquid volume is the amount of liquid contained in a...
A couple of weeks ago (on June 19) I learned on X (formerly Twitter) that 401 years ago, mathematician Blaise Pascal (1623-1662) was born -- more info...
(by this month’s guest-columnist, Jeff Glibb)
An esoteric branch of math called fraction theory may hold the answers to science’s deepest mysteries
You may think you know...
Podcast: DownloadIn ancient Mesopotamia and Egypt, mathematics meant law and order. Specialised mathematical technocrats were deployed to settle conflicts regarding taxes, trade contracts, and inheritance. Mathematics enabled states to...