Audience
Format
The Number Garden Originals
Visual prompts and interactive lessons.
A growing home for original lesson materials authored by Paul Gafni,
founder & director of The Number Garden.
Linear parametrization exercises built from moving points on the coordinate plane.
Dots in Motion (Linear)
Moving line families, intersections, triangles, and projections.
Lines in Motion
Circular parametrization exercises about coordinates, ambiguity, and motion around a curve.
Dots in Motion (Circular)
Derivative exercises that connect moving lines to curves and rates of change.
Lines and Curves
Bezier curve and nested-square prompts about interpolation, control points, and repeated motion.
Bezier Curves
Mini-games for scaffolded learning.
Beginner Chess
A short talk on curiosity, challenge, and mathematical agency.
Five Principles of Extraordinary Math Teaching | TEDxRainier
A playful series that makes mathematical ideas feel alive.
Doodling in Math Class
A book about humane, playful math learning in modern classrooms.
Math Recess: Playful Learning in an Age of Disruption
Problem practice with feedback for students ready to stretch.
Alcumus (Pre-Algebra & Beyond)
Geometry puzzles that turn construction into experimentation.
Euclid: The Game (Geometry)
Programming-flavored math challenges for persistent problem solvers.
Project Euler (Programming)
A compact course hub for precalculus topics and review.
Precalculus (UW Math 120)
A live stream of math teacher ideas, tasks, and debate.
Math Twitter Blogosphere (#MTBoS, #ITeachMath)
Pattern prompts that invite noticing, generalizing, and justification.
Visual Patterns (Nguyen)
Short problems with many entry points and rich discussion.
Open Middle® (Johnson & Kaplinsky)
Graph routines that build curiosity before explanation.
Slow Reveal Graphs (Laib)
Warm starts that get students thinking right away.
Openers
Classroom-friendly games that build strategy and number sense.
Games
Open-ended lessons built for reasoning, discussion, and depth.
Rich Tasks
A talk about centering student thinking in math conversations.
Conjectures and Counterexamples
A matrix for increasing cognitive demand in familiar tasks.
Depth of Knowledge
Visual progressions for big ideas across grade bands.
Progression Videos
A widely used book on collaborative problem-solving routines.
Building Thinking Classrooms
A classic argument for discovery-rich teaching.
Teaching with Your Mouth Shut
A provocative classic on inquiry-centered education.
Teaching as a Subversive Activity
A beautiful model for place value and algebraic structure.
Exploding Dots
A playful text full of problems, puzzles, and explanations.
Thinking Mathematics Volume 1
Support for schools building richer math instruction.
Professional Development
Full curriculum materials shaped by play and problem solving.
Curriculum
A model for joyful, communal mathematical experiences.
Julia Robinson Mathematics Festival
Family-friendly games worth bringing to the table.
Award Winning Games
Simple ways to notice and talk about math at home.
Talking Math With Your Kids (Danielson)
A plainspoken take on what the standards are trying to do.
What is the Common Core?
Deduction puzzles that reward patience and organized thinking.
Logic-Grid Brain Teasers
A challenging, comic-styled curriculum for elementary learners.
Beast Academy (Ages 6+)
A whimsical novel that turns numbers into adventure.
The Number Devil: A Mathematical Adventure
Problem collections for younger students who enjoy challenge.
Hard Math for Elementary School
Classic logic puzzles and paradoxes from Raymond Smullyan.
What Is the Name of This Book?
Story-based math adventures with charm and ingenuity.
The Man Who Counted: A Collection of Mathematical Adventures
Hands-on family activities for mathematical conversation.
Family Math
Visual puzzles that spark conjecture before language.
Without Words
A practical collection of mathematical games and investigations.
Games for Math
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