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Clio Corvid
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Month: July 2014

Other mathematics

Modeling in GeoGebra

Posted on July 30, 2014 by Clio Corvid / 0 Comment

Introduction In this entry, I’m going to demonstrate the use of GeoGebra to estimate a value for a fairly tricky trigonometry problem, then illustrate how...

Other mathematics

Angles and Congruence

Posted on July 22, 2014 by Clio Corvid / 0 Comment

Congruence As I discussed in an earlier post, there are two basic definitions of geometric congruence that are presented to students. The first is based on meas...

Other mathematics

Programming, Mathematics, and Language

Posted on July 20, 2014 by Clio Corvid / 1 Comment

I’ve been struggling for a while now to find a way to frame and articulate the answer to what seems like a simple question: “What is mathematics?...

Other mathematics

The Golden Ratio and Generalizing Quadratics

Posted on July 20, 2014 by Clio Corvid / 2 Comments

A poster on the Google Plus Mathematics community commented that one feature of the Golden Ratio ϕ is that adding one to ϕ yields the same value as squaring ϕ d...

Other mathematics

Negative Bases

Posted on July 7, 2014 by Clio Corvid / 0 Comment

And now, for something silly. In general, number bases are expected to be positive integers greater than one. The most widely used are decimal (because we have ...

Other mathematics

What Do Digits Mean, Anyway?

Posted on July 7, 2014 by Clio Corvid / 0 Comment

Puzzle I found this puzzle in the G+ Mathematics community, courtesy of Paul Cooper. Solve the final addition: 50 + 60 + 90 = 380 30 + 40 + 60 = 330 90 + 60 + 7...

Other mathematics

A pair of probability problems

Posted on July 4, 2014 by Clio Corvid / 0 Comment

I’ve recently come upon two probability problems with counterintuitive solutions. One I’d seen before and dismissed because I didn’t understan...

Other mathematics

All Lines are Congruent

Posted on July 3, 2014 by Clio Corvid / 1 Comment

A standard high school geometry textbook talks about congruence in terms of three types of objects: Line segments, angles, and polygons. Congruence is then defi...

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