Start here
Graph Explorer Trace the Seven Bridges of Königsberg — walk nodes and edges to see what a path can and cannot do.
Counting Lab Work out permutations, combinations, and the pigeonhole principle — count without listing.
Mixed Practice A short round across the kits you have played — spaced so it sticks.
Discrete Duel Play a friend on one device — same questions, highest first-try score wins. How are you feeling?
All activities
Explore
Graph Explorer Trace the Seven Bridges of Königsberg — walk nodes and edges and discover why some walks are impossible. Walk the bridges Try to cross all seven bridges of old Königsberg exactly once, see why nobody can, then change the town until a walk works. Cube Cover Slide a cube to cover every tile once and reach the flag — a Hamiltonian path, the graph-theory twin of the Euler walks in the Graph Explorer.
Count
Prove
Tile Proofs Build the staircase 1 + 2 + … + n, then fit a second copy beside it: the rectangle proves the sum without a word. Truth-Table Lab Propositional logic made visible — predict whether a formula (AND, OR, NOT, if-then) is always true, always false, or sometimes true, then see the whole truth table. De Morgan, the contrapositive, and the if-then surprise.
Play together
More
Mixed Practice A short round across the kits you have played — brought back to make it stick. Trick Questions Brain-teasers with a twist — spot why the obvious answer is a trap. Adventure Map A progression trail through every kit — clear each stop of real practice, then move on. Progress Your levels, days active, and how each track is coming along — saved on this device. Progress report For grown-ups — a private on-device snapshot mapped to the skill areas. Export a CSV or print.
Concept Kits — 16 kits of discrete math
Kit 1: Sets and Sorting Foundations · 4-5 · 25 questions Kit 2: Counting and Patterns Counting & Combinatorics · 4-5 · 25 questions Kit 3: Logic and Truth Tables Logic & Graphs · 5-6 · 25 questions Kit 4: Graph Theory Basics Logic & Graphs · 5-6 · 25 questions Kit 5: Combinatorics and Probability Counting & Combinatorics · 6-7 · 25 questions Kit 6: Recursion and Sequences Recursion, Number Theory & Algorithms · 6-7 · 25 questions Kit 7: Number Theory and Cryptography Logic & Graphs · 7-8 · 25 questions Kit 8: Algorithm Design and Complexity Recursion, Number Theory & Algorithms · 7-8 · 25 questions Kit 9: Elements & Principles Deep Dive Connections & Real-World · 5-6 · 25 questions Kit 10: Cultural & Historical Context Connections & Real-World · 6-7 · 25 questions Kit 11: Creative Process & Critique Connections & Real-World · 6-7 · 25 questions Kit 12: Professional Practice & Careers Connections & Real-World · 7-8 · 25 questions Kit 13: Cross-Topic Connections Connections & Real-World · 5-6 · 25 questions Kit 14: Real-World Applications Connections & Real-World · 6-7 · 25 questions Kit 15: Misconceptions & Reasoning Connections & Real-World · 6-7 · 25 questions Kit 16: Advanced Synthesis Connections & Real-World · 7-8 · 25 questions
More ways to play
Same idea, another world
😄 Brain break
Meet the cast — the characters who teach this
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Sortie the Set-Curator Sets, subsets, set operations (union, intersection, difference) -
Tally the Pattern-Counter Counting principles and combinatorics (multiplication rule, permutations, combinations) -
Verity the Truth-Tester Propositional logic, truth tables, AND/OR/NOT operators -
Wander the Bridge-Walker Graph theory -
Coil the Self-Reference Recursion and sequences (Fibonacci, factorials, recursive patterns) -
Prime the Indivisible Number theory -
Cubby the Cubby-Keeper The pigeonhole principle -
Swatch the Border-Painter Graph coloring -
Marshal the Line-Arranger Permutations -
Twoby the Pair-Matcher Parity and invariant arguments -
Surge the Growth-Racer Order of growth
Ensemble stories — the cast together
What next? Pick a door
- More like this StrategyForge What is the winning move here? TableForge Is your board game fair? ClaimCraft How strong is your argument, really?
- A bit harder CasterQuest Can you call this move like a commentator? LogicQuest Which fallacy is this? BiasForge Will your own brain fool you?
- Something different SynaForge Which picture does this sound feel like? StyleForge Which fabric breathes best? ClassCircles What helps this student most?