# Tag Info

### Imbuing a six year old with a sense of mathematical wonder

I remember being excited about the following at a young age. If you add consecutive numbers you get triangle numbers. Triangle numbers are fun. If you put two consecutive triangle numbers together ...

### Imbuing a six year old with a sense of mathematical wonder

How about: Numbers go the other way, too (negative) You can cut numbers in half, forever What if you cut a number into three pieces? 1 million is a thousand thousands (100 is ten tens) If you don't ...

### Mnemonics for some properties in mathematics

Recently, a student in my beginning algebra course offered the following to the class, regarding signed number multiplication: Assuming positivity is like love, and negativity is like hate, then... "...

### Mnemonics for some properties in mathematics

The minimax theorem states the following: Let $X\subset \mathbb{R}^{n}$ and $Y\subset \mathbb {R} ^{m}$ be compact convex sets. If $f:X\times Y\rightarrow \mathbb {R}$ is a continuous ...

### Mnemonics for some properties in mathematics

I tell students to visualize $<$ and $>$ as mouths. They always want to eat the bigger number.
Fatou's Lemma states: for nonnegative measurable functions $f_n$, $$\int_E \liminf_{n\to\infty} f_n\;d\mu \le \liminf_{n \to \infty}\int_E f_n\;d\mu$$ The mnemonic is $$\text{ILLLLLI},$$ meaning "...