## What is a fraction?

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...

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# Category: Mathematics

## What is a fraction?

## Basic Operators: Addendum

## The Basic Operators

## What is Subtraction? (Reflective draft)

## Logs, Roots, and Fractions

## The Logarithmic Rules

## Thoughts on Memorization (Facebook repost)

## How Notation Obscures Patterns

## Marty’s Viral Pizza Load

## Arithmetic and Operations

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...

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...

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

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

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 ...

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^...

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

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 ...

This is making its internet rounds again: These days, I see it in math teacher forums clucking about our colleagues. There is often a microaggressive wink-wink ...

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...