Resources
Curated tools and sites to build reasoning, spatial thinking, and visual math skills. All suitable for ages 11-16.
Visual Algebra
See equations come alive — manipulate, graph, and explore algebra visually.
Brilliant
Interactive courses that build intuition through visual problem-solving. The gold standard for learning math by doing.
Mathigon Polypad
A digital canvas with algebra tiles, balance scales, and 50+ virtual manipulatives for hands-on math exploration.
Desmos Graphing Calculator
Instantly visualize equations with sliders and animations. Used in classrooms worldwide.
GeoGebra
Dynamic algebra visualizations, geometry constructions, and thousands of community-created activities.
Khan Academy — Visual Equations
Balance-scale and hanger-diagram exercises that build intuition for solving algebraic equations.
Spatial Reasoning
Train your brain to rotate, fold, and visualize shapes in 2D and 3D.
Brilliant — 3D Geometry
Interactive spatial challenges involving 3D shapes, cross-sections, and geometric transformations.
Mathigon — Tangram
Classic tangram puzzles that develop spatial visualization and shape composition skills.
Puzzle Playground — Spatial Blocks
Fill grids with given shapes — a simple, addictive way to build spatial awareness.
Nonverbal Reasoning
Spot patterns, complete sequences, and think without words.
Logic & IQ Building
Sharpen your logical thinking with increasingly challenging problems.
Art of Problem Solving — Alcumus
An adaptive system that delivers problems at your level and scales up as you improve. The best free tool for building mathematical reasoning.
Brilliant — Logic
Puzzles in propositional logic, deduction, and strategic thinking — made visual and interactive.
CogniFit — Brain Games
Neuroscience-backed brain training games targeting reasoning, memory, and problem-solving.