Pascal's Triangle vs Proof Fidget

Explore the mathematical mysteries and marvels of Pascal's Triangle with this highly interactive iPad app. Choose a color and mark a pattern on the chart to discover a mathematical relationship. Tap the Pascal icon and a note pops up with an interesting fact about Pascal's Triangle. Tap the sigma icon to get statistics about the patterns on the chart. Tap the question mark to start a quiz and review the concepts presented. Because the Pascal's Triangle app is designed as an open-ended tool that teachers can use it as a presentation tool to lead students into fascinating mathematical discoveries. Topics include: Fibonacci Numbers, Triangular Numbers, Square Numbers, Palindromes, and Powers. Students will enjoy using this interactive learning tool. The Pascal's Triangle app creates a colorful learningenvironment with mild sound effects and provides motivation for exploring math concepts and encourages discoveries.

ProofFidget is a puzzle-driven way to learn the feel of doing math: not by memorizing procedures, but by making correct moves, one step at a time, until a proof truly holds together. Each puzzle gives you a clear goal and a partially-complete derivation. You spin the wheel to choose your next move, then commit to a step and watch the proof line up. If you’re right, you progress; if you’re wrong, you learn quickly why it didn’t fit. The result is a tight feedback loop that makes abstract ideas concrete and surprisingly fun. You’ll work across a growing set of subjects, including: Logic and proof techniques: build confidence with implication, contradiction, and structured reasoning. Algebra: make valid transformations while keeping equations balanced, supported by visual “balance scale” diagrams. Number theory: practice modular arithmetic, divisibility, and gcd-style reasoning with intuitive visuals. Geometry and beyond: use diagrams to ground symbolic steps in something you can see. ProofFidget is designed for short, satisfying sessions, but it also rewards deeper play: you start noticing patterns, choosing steps for the right reasons, and developing proof instincts that transfer to real coursework and problem-solving. If you’ve ever thought “I understand the formula, but I don’t understand why,” ProofFidget is built for that moment.