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Category: Other mathematics

Other mathematics

Arithmetic and Operations

Posted on October 31, 2021 by Clio Corvid / 0 Comment

This is a “what-if” document. It’s not intended as a serious suggestion for how we should write mathematical notation or for replacing current...

Other mathematics

Reflections on Inverse Function Notation

Posted on April 30, 2021 by Clio Corvid / 0 Comment

I was thinking about inverse function notation, and that got me thinking about function notation, and that got me thinking about operations and how meh our nota...

Other mathematics

Proof: The rationality of the y-intercept

Posted on November 15, 2020 by Clio Corvid / 0 Comment

Theorem: Given a quadratic function with rational roots, the \(y\)-intercept is rational if and only if the stretch is rational. Proof: If \(f\) is a quadratic ...

Other mathematics

Logarithms: The Dark Sorcery

Posted on February 15, 2020 by Clio Corvid / 0 Comment

I used to hate logarithms. They were hopelessly confusing. Sort of like this: https://www.smbc-comics.com/comic/operations This is the third year now that IR...

Other mathematics

The Problem with Mathematical Notation

Posted on November 23, 2019 by Clio Corvid / 1 Comment

Mathematics is beautiful. Mathematical notation, meanwhile, is a horrid mess second only to English itself for its arbitrariness. For instance, basic arithmetic...

Other mathematics

Adding vs. Multiplying

Posted on September 29, 2019 by Clio Corvid / 0 Comment

We tend to act as if multiplying is repeated addition. This misses a key, crucial difference between the two operations: WE CANNOT ADD UNLIKE THINGS. We can abs...

Other mathematics

The Math Meme That Would Not Die

Posted on August 8, 2019 by Clio Corvid / 0 Comment

Some version of this question keeps getting asked on the internet. What is \(8\div2(2+2)\)? Some background The strength of mathematical notation is at the inte...

Other mathematics

Deriving Euler’s Identity

Posted on March 30, 2018 by Clio Corvid / 0 Comment

Euler’s Identity has been called “the most beautiful equation” in mathematics. It neatly encapsulates five key values and three operators into...

Other mathematics

The Natural Base e: Thoughts on Teaching

Posted on March 28, 2018 by Clio Corvid / 0 Comment

In “Burn Math Class”, Jason Wilkes spends quite a few pages deriving the value of \(e\). I did not notice him at any point mentioning compound inter...

Other mathematics

The Problem with Problems

Posted on March 26, 2018 by Clio Corvid / 0 Comment

I’m currently reading “Burn Math Class,” and it’s got me thinking about language. Yesterday, I saw an item about teaching students why c...

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