Master the art of mathematical proof. Construct rigorous proofs step-by-step.
Formal Proofs
Rigorous logic
Deep Reasoning
Build intuition
Hintable
Learn progressively
Olympiad Level
Competition ready
Math Proof Builder is a rigorous mathematical training game that develops proof-writing skills - the foundation of advanced mathematics. Unlike calculation-based games, this focuses on logical argumentation and rigorous reasoning.
The game presents mathematical statements requiring formal proof construction. You learn to build airtight logical arguments from axioms and given conditions - skills essential for olympiads, ISI/CMI entrance, and mathematical research.
The game teaches systematic proof construction:
Proof Techniques: • Direct Proof: Proceeding straight from assumptions to conclusion • Contradiction: Assuming the opposite and deriving impossibility • Induction: Proving base case and inductive step • Contrapositive: Proving equivalent reversed statement • Construction: Building an example to prove existence
Difficulty: From basic number theory proofs to olympiad-level challenges.
Clearly identify what needs to be proven and the given conditions.
Select appropriate method: direct, contradiction, induction, etc.
Construct logical steps from assumptions to conclusion.
Ensure every step is justified and no gaps exist.
Math Proof Builder develops deep mathematical thinking:
Rigorous Reasoning: Building arguments without logical gaps.
Abstract Thinking: Working with general structures rather than specific numbers.
Strategic Planning: Choosing the right approach for each proof type.
Pattern Recognition: Identifying proof templates applicable to new problems.
Precision: Stating claims and steps with mathematical exactness.
Proof skills shine in specific assessments:
Math Olympiads: RMO, INMO, IMO all require proof-based solutions.
ISI/CMI Entrance: These exams heavily emphasize proof-writing.
JEE Advanced: Select problems require formal justification.
Higher Math Studies: Essential foundation for university mathematics.
Math Proof Builder benefits aspiring mathematicians:
• Olympiad Aspirants: Build the proof skills competitions demand • ISI/CMI Candidates: Prepare for proof-heavy entrance exams • Advanced Math Students: Develop rigorous reasoning early • Future Researchers: Lay foundation for mathematical research • Math Enthusiasts: Experience the beauty of rigorous proof
This game applies mathematics education research:
Proof Comprehension: Research on how students learn to understand proofs.
Proof Production: Studies on developing proof-writing ability.
Scaffolding: Gradually reducing support as skills develop.
Worked Examples: Learning from model proofs before independent practice.
Before writing, plan your proof strategy - what technique fits best?
Start with what you know and what you need to show
Look for similar proofs you have seen - techniques often transfer
When stuck, try a specific example to build intuition
Review model proofs carefully - understand why each step is there
