# Blog

Click here for a list of topics that haven't been rolled into the index yet. Below are some other things, mostly lists, that don't belong in the index. My thoughts on math education, some cool resources I've found, and other miscellanea.

## Members only

## Puzzles

## Math circles

## The concrete-pictorial-abstract approach

## Nonstandard topics

## Intro to total functional programming

## Problem solving techniques

- Draw a radius
- Label something with a variable
- Apply, or unroll, the definition
- Copy the figure
- Make a truth table

## Collections

- Collection of math puzzle columns
- Collection of problems involving the area of a sector
- Collection of problems solvable by a coloring argument
- Collection of places where Fibonacci numbers appear
- Collection of patterns in Pascal's triangle
- Collection of broken calculator puzzles
- Collection of count the shapes puzzles
- Collection of multiple-choice logic puzzles
- Collection of relationship riddles
- Collection of river crossing puzzles
- Collection of water jug riddles
- Collection of counterfeit coin puzzles
- Collection of rope burning puzzles
- Collection of KenKen puzzles
- Collection of card and board games
- Collection of puzzles on the isosceles triangle theorem, and its converse
- Collection of puzzles on the exterior angle theorem
- Collection of puzzles on 2D polyanimals
- Collection of puzzles on 3D polyanimals
- Collection of prime factorization puzzles
- Collection of logic puzzles
- Collection of Nim-like games
- Collection of probability paradoxes
- Collection of interesting, but hard to prove, theorems
- Collection of puzzles for angles standing on the same arc
- Collection of multiplication puzzles

## Topic subsequences

- Place value subsequence
- Add and subtract whole numbers subsequence
- Skip count, multiply, and divide whole numbers subsequence
- Comparison subsequence
- Rounding subsequence
- Estimate the sum or difference subsequence
- Estimate the product or quotient subsequence

## Planning

## Thoughts on math and math education

- Making mistakes
- Intuition is fallible
- Making definitions precise
- My criticisms
- Cringey things that math teachers do
- What's missing from Khan Academy?
- How to improve upon the Common Core
- How to improve upon the Common Core (old)
- Expressing things in terms of other things
- Thoughts on teaching geometry
- Logic for high schoolers
- Gaining familiarity with mathematical ideas
- Communicating mental math
- Random thoughts on challenges
- Gaining familiarity with mathematical ideas
- Other thoughts
- Problem types
- Program termination
- How math and computation are related
- The future of programming

## Playing with math

- My notes
- Python for a coin tossing puzzle
- The integer part of square roots
- The nonsquares
- Union and intersection of recursive sets

## FAQ

## For YouTubers

## LaTeX for educators

- TikZ code: Comparing fractions using the area model
- Angle addition postulate problem
- Typesetting special right triangles
- Typesetting arrays of cubes
- Typesetting Geoboards
- Typesetting one-step equations
- Typesetting vertical angles
- Using the triangle midsegment and proportionality theorems
- Triangle angle bisector theorem
- TikZ code: Comparing fractions using the area model
- Making conjectures with dominoes

## Valuable resources that were hard to find

## What to include/exclude

- Reasons for not indexing a resource
- Reasons for hiding a video
- Skipped websites
- Skipped YouTube channels
- Math songs

## Style/opinions/topic ideas

- Style guide
- Tags
- Listing prerequisites
- Making conjectures with dominoes
- Gaining familiarity with mathematical ideas
- Rating the difficulty of puzzles
- Section types
- Thoughts on splitting topics
- Common topic titles

## Technical notes

- Notes on indexing YouTube math channels
- Minimal example for the BroadcastChannel API
- Using the backend
- How to install Google fonts on Ubuntu

## Subreddit

## Other

- Advice on learning
- Angle addition postulate problem
- Applications
- TikZ code: Comparing fractions using the area model
- Area of equilateral triangle problem
- Aunty Math
- Auto-distributing challenges, investigations, and games
- Brief mission statement
- Cardboard Mountains by MathPickle
- Careful questions
- Classroom activities
- Collection of find the mistake activities
- Common topic titles
- Communicating mental math
- Converse of each corresponding angles theorem
- Courses, chapters, sections, subsections
- Cringey things that math teachers do
- Critical thinking WIP
- Empty mathematical objects
- Expressing things in terms of other things
- Factors and multiples activity
- Fractal fractions
- Free book reviews
- Free resources for learning algebra 1
- Free resources for learning calc 1
- Free resources for learning calc 2
- Free resources for learning calc 3
- Free resources for learning differential equations
- Free resources for learning linear algebra
- Free sources of nonroutine problems
- Free sources of routine problems
- Free worksheets and digital exercises
- Gaining familiarity with mathematical ideas
- High school and undergrad research paper topics
- How math and computation are related
- How to improve upon the Common Core
- How to improve upon the Common Core (old)
- How to install Google fonts on Ubuntu
- Intro to total functional programming
- Intuition is fallible
- List of math education methods
- List of YouTube channels
- Listing prerequisites
- Logic for high schoolers
- Magic square logic puzzle
- Making conjectures with dominoes
- Making definitions precise
- Making mistakes
- Math blogs
- Math circles
- Math museums
- Math songs
- Maximum number of regions created by straight line and planar cuts
- Methods of teaching multiplication and division
- Minimal example for the BroadcastChannel API
- Mr Barton Maths
- My criticisms
- My morals
- My plan for making YouTube videos
- Nonstandard topics
- Notes on indexing YouTube math channels
- Other thoughts
- Prioritizing YouTube channels
- Probability manipulatives
- Problem types
- Program termination
- Puzzles
- Python for a coin tossing puzzle
- Random thoughts on challenges
- Rating the difficulty of puzzles
- Reasons for hiding a video
- Reasons for not indexing a resource
- For MrCargoPants
- For jasonsteakums69
- For Gracie_88_UwU
- Religious and political affiliations
- Reverse engineering Green Globs
- Section types
- Single-purpose manipulatives
- Single-purpose Montessori manipulatives
- Skills not covered by manipulatives
- Skipped websites
- Skipped YouTube channels
- Step-by-step solver 1
- Style guide
- Sums of angles by paper cutting
- Tags
- Tags to visualize subsequences of topics
- The concrete-pictorial-abstract approach
- The future of programming
- The integer part of square roots
- The nonsquares
- Things we could use manipulatives for, but shouldn't
- Thoughts on automated reasoning
- Thoughts on splitting topics
- Thoughts on teaching geometry
- Tools for math education
- Topics with few videos
- Topics with many videos
- Topics without videos
- Triangle angle bisector theorem
- Using the triangle midsegment and proportionality theorems
- Typesetting arrays of cubes
- Typesetting Geoboards
- Typesetting one-step equations
- Typesetting special right triangles
- Typesetting vertical angles
- Union and intersection of recursive sets
- Uses of algebra manipulatives
- Uses of AngLegs
- Uses of attribute blocks
- Uses of balance scales
- Uses of base ten blocks
- Uses of bear counters
- Uses of Cuisenaire rods
- Uses of fingers
- Uses of fraction wedges
- Uses of GeoModel Folding Shapes
- Uses of Montessori bead bars
- Uses of Multilink Cubes
- Uses of one color counters
- Uses of place value disks
- Uses of Play-Doh
- Uses of Polydrons
- Uses of ten frames
- Uses of the Montessori addition strip board
- Uses of the Montessori algebraic peg board
- Uses of the Montessori stamp game
- Uses of the Montessori subtraction strip board
- Uses of two color counters
- Uses of Unifix Cubes
- Using a pen to sum interior angles
- Using the backend
- Very hard challenges
- Virtual manipulatives
- What's missing from Khan Academy?
- Where should I start?
- Why should I use Proof Index?