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Category: Other mathematics

Other mathematics

Coloring Vertices

Posted on January 26, 2023 by Clio Corvid / 0 Comment

The other day, I came across this problem on Twitter: How many distinct ways are there to color the vertices of a cube, such that exactly four are one color and...

Other mathematics

On Cognitive Load Theory and Story Problems

Posted on January 2, 2023 by Clio Corvid / 0 Comment

I’m currently reading “Sweller’s Cognitive Load Theory in Action” by Oliver Lovell, specifically the section on reducing extraneous load...

Other mathematics

What is a fraction?

Posted on August 23, 2022 by Clio Corvid / 0 Comment

The other day, I saw a tweet joking that while calculus teachers insist that \(\frac{dy}{dx}\) is not a fraction, the LaTeX is \frac{dy}{dx}. That reminded me o...

Other mathematics

Basic Operators: Addendum

Posted on March 27, 2022 by Clio Corvid / 0 Comment

One thing I realized while writing and editing the previous article is the depth of the mismatch between notation for addition and multiplication (on the one ha...

Other mathematics

The Basic Operators

Posted on March 27, 2022 by Clio Corvid / 0 Comment

By the time most students graduate from high school in the United States, they have seen the following operators*: Addition, subtraction, negation, multiplicati...

Other mathematics

What is Subtraction? (Reflective draft)

Posted on March 27, 2022 by Clio Corvid / 0 Comment

Conceptually, subtraction and addition of negatives are two very different processes. Subtraction involves an undoing of addition: It is an inverse function. Ad...

Other mathematics

Logs, Roots, and Fractions

Posted on March 13, 2022 by Clio Corvid / 0 Comment

How notation gets in the way of understanding The other day I tweeted this: Objectively, I realize that \(\sqrt2\), \(\log6\), and \(\frac57\) are all specific ...

Other mathematics

The Logarithmic Rules

Posted on March 11, 2022 by Clio Corvid / 0 Comment

In this item, I will show how the basic logarithmic rules, including the Change of Base formula, follow from this equivalency: \[\log_b m = n \Leftrightarrow b^...

Other mathematics

Thoughts on Memorization (Facebook repost)

Posted on March 6, 2022 by Clio Corvid / 0 Comment

There are two basic forms of “memorization”: (a) Rote, through the repetition of the specifically, often decontextualized, data and (b) Habituation,...

Other mathematics

How Notation Obscures Patterns

Posted on February 10, 2022 by Clio Corvid / 0 Comment

This is another stab for me at what continues to prove to be a complicated topic: How our mess of mathematical notation obfuscates key patterns. This is also a ...

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