Public learning track
Advanced Methods of Proof and Mathematical Reasoning
12th Grade · Math · Open Global Math
11 lessons
Goal
Construct, analyze, and evaluate formal mathematical arguments using deduction, exhaustion, contradiction, contrapositive, and induction across number theory and algebra.
Featured Diagrams
Direct Proof and Deductive Reasoning in Algebra
11 lessons
0 of 11 done
- 1Direct Proof and Deductive Reasoning in AlgebraUp nextStart
- 2Proof by Exhaustion and Finite Case AnalysisPremiumNot started yet
- 3Formulating Counterexamples to Disprove ConjecturesNot started yet
- 4Logical Structure of Proof by ContradictionNot started yet
- 5Proving the Irrationality of Square Root of 2 and SurdsNot started yet
- 6Proving the Infinitude of PrimesNot started yet
- 7Proof by Contrapositive in Number TheoryNot started yet
- 8Divisibility and Modular Arithmetic ProofsNot started yet
- 9Principle of Mathematical Induction for Sums and SequencesNot started yet
- 10Mathematical Induction for Inequalities and DivisibilityNot started yet
- 11Critiquing and Correcting Flawed Mathematical ProofsNot started yet
Curriculum Framework
12th Grade · Math · Open Global Math
1
11 lessons
Advanced Methods of Proof and Mathematical Reasoning
Construct, analyze, and evaluate formal mathematical arguments using deduction, exhaustion, contradiction, contrapositive, and induction across number theory and algebra.
2
8 lessons
Mathematical Modeling and Applied Problem Solving
Formulate, evaluate, and refine multi-step mathematical models for real-world phenomena using analytical tools, digital software, and rigorous mathematical language.