TuneIn Logo
Introduction to Mathematical Thinking: How to Reason, Prove, and Solve Problems Like a Mathematician-logo

Introduction to Mathematical Thinking: How to Reason, Prove, and Solve Problems Like a Mathematician

Andrew Falkner

Transform everyday curiosity into rigorous problem-solving by mastering the disciplined logic of mathematical proofs. Whether you are studying for a high-stakes exam or commuting to work craving a deep mental workout, this journey shifts your brain...

Ask host to enable sharing for playback control
Play Button
Premium Chapters
Premium
Ask host to enable sharing for playback control

Opening Credits

1/13/2026
Ask host to enable sharing for playback control

Chapter 1: From Everyday Reasoning to Mathematical Thinking

1/13/2026
Ask host to enable sharing for playback control

Chapter 2: Language, Logic, and the Shape of Arguments

1/13/2026
Ask host to enable sharing for playback control

Chapter 3: Quantifiers and Definitions: Saying Exactly What You Mean

1/13/2026
Ask host to enable sharing for playback control

Chapter 4: What Is a Proof and Why Does It Matter

1/13/2026
Ask host to enable sharing for playback control

Chapter 5: Direct Proof and the Contrapositive: Walking a Straight Line

1/13/2026
Ask host to enable sharing for playback control

Chapter 6: Proof by Contradiction and Cases: Reasoning with Tension

1/13/2026
Ask host to enable sharing for playback control

Chapter 7: Integers and Divisibility: A Playground for Proofs

1/13/2026
Ask host to enable sharing for playback control

Chapter 8: Sets and Functions: Learning to Think in Collections and Mappings

1/13/2026
Ask host to enable sharing for playback control

Chapter 9: Strategies for Problem Solving and Reading Proofs

1/13/2026
Ask host to enable sharing for playback control

Chapter 10: Cultivating a Mathematical Mindset for the Long Term

1/13/2026
Ask host to enable sharing for playback control

Closing Credits

1/13/2026