Proof Fidget vs FirstMoves

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.

============================== Master chess openings and take your game to the next level with FirstMoves — the interactive chess opening trainer designed for players of all skill levels. LEARN OPENINGS THE RIGHT WAY Stop memorizing moves you don't understand. FirstMoves teaches you the "why" behind every move with clear explanations that help you remember and apply what you learn in real games. FEATURES • 50+ Chess Openings — From beginner-friendly openings like the Italian Game and London System to advanced lines like the Sicilian Najdorf and King's Indian Defense. • Interactive Lessons — Step through each opening move-by-move on a beautiful, responsive chessboard. See the position develop as you learn. • Move Explanations — Understand the purpose of every move. Learn the ideas, plans, and tactics behind each opening. • Progress Tracking — Track which openings you've studied and your mastery level. Pick up right where you left off. • Offline Mode (Premium) — Download openings and study anywhere, even without an internet connection. • Difficulty Levels — Openings are categorized as Beginner, Intermediate, or Advanced so you can find the right challenge. OPENINGS INCLUDED White Openings: • Italian Game & Giuoco Piano • Ruy Lopez (Spanish Opening) • Queen's Gambit • London System • King's Indian Attack • English Opening • And many more... Black Defenses: • Sicilian Defense (multiple variations) • French Defense • Caro-Kann Defense • King's Indian Defense • Nimzo-Indian Defense • Dutch Defense • And many more... PREMIUM SUBSCRIPTION Upgrade to Premium for unlimited access: • Unlimited study sessions (no daily limits) • Access to all 50+ openings • Offline mode — learn anywhere • Detailed analytics and progress tracking • Full move explanations for every line SUBSCRIPTION DETAILS • Payment will be charged to your Apple ID account at confirmation of purchase • Subscription automatically renews unless canceled at least 24 hours before the end of the current period • Manage and cancel subscriptions in your App Store account settings Whether you're preparing for your first tournament or looking to expand your repertoire, FirstMoves helps you build a solid opening foundation. Download now and make your first moves count.