Partial Credit: Exploring Luhn's Algorithm

All you have to do is look around to see that the world is changing very rapidly. But the course sequence of math education in American schools has changed little since the 1950s. In this episode, Pete and Noah welcome Ted Dintersmith, author of the book Aftermath, for a lively discussion about which math skills and concepts can best prepare today's students for the world of tomorrow. Find Aftermath on Amazon Leave us a voice message Find us on Twitter Send us an email Questions Answered in the Episode: What mathematical skills and concepts are most important for students to learn to prepare for the future? Why are statistics and data analytics considered more practical than traditional high school calculus for most students?

A close call on the Math Club holodeck sends Pete and Noah down a wormhole investigating Kaprekar's Constant. Beam aboard as we explore strange new algorithms and boldly discover what happens when numbers are put through this interesting iterative process.   Leave us a voice message Find us on Twitter Send us an email Questions Answered in the Episode What is Kaprekar's constant and how does the Kaprekar process work for four-digit numbers? What is the maximum number of steps required for any valid four-digit number to reach Kaprekar's constant?

Hey there, Math Club. We have some exciting news to share. Noah has teamed up with yet another Pete to bring you yet another show! A Novel Approach is dedicated to creating novel length stories, produced as immersive audio productions. The first book is called "The End of Secrets", and it explores what happens when the ancient world of vampires collides with the modern world of AI. In each pair of new episodes, you'll get to hear a new chapter of the book, and then a short discussion about how that chapter was put together. We're including the first chapter here. If you like it and want more, you can find it on Apple Podcasts, or in whatever podcast app you like to use. Just search for "A Novel Approach", or use our RSS feed https://anchor.fm/s/1150a6278/podcast/rss

A friend's story leads Pete and Noah to dive into the high-stakes world of poker to settle a debate: does a flush really beat a straight? Using the tools of combinatorics and probability, our hosts break down the math behind five-card hands and explore how the hierarchy of the game is built upon the frequency of outcomes. Ante up... the next hand is about to begin! Leave us a voice message Find us on Twitter Send us an email Questions Answered in the Episode How do you calculate the total number of possible five-card poker hands from a 52-card deck? What are the mathematical odds of being dealt a flush versus a straight in poker?

A chat with Alexa leads Pete to contemplate what it looks like to lead his best mathematical life.  But what does that mean?  In this episode, Pete and Noah discuss ways to view mathematics not as a rigid school subject, but as a "grand adventure" that is constantly present in your life. Leave us a voice message Find us on Twitter Send us an email Questions Answered in the Episode: • What does it mean to live a mathematical life? • How can the "I Notice, I Wonder" framework be used to find math in everyday life?

In this episode, veteran educator Sheila Robitaille joins Pete and Noah to discuss World Math Day, a global competition for students ages 5 to 18 that promotes mathematical fluency through 60-second "live Mathletics" games. The conversation highlights the 2026 theme, "United by Numbers," exploring how gamification can foster a growth mindset and make math fun and engaging for kids at all levels of math proficiency. Register your child or students for World Math Day 2026   Leave us a voice message Find us on Twitter Send us an email Questions Answered in the Episode: • What is World Math Day and who is eligible to participate in the competition? • How does the gamification of mathematics help students develop a growth mindset and academic perseverance?

If we asked all of our listeners to look up the current population of their hometown and email us just the first digit of that number, what do you expect we'd find?  Would the digits be evenly distributed, or would some be more common than others?  In this episode, we look at Benford's Law, and learn some surprising truths about the distribution of numbers in natural data sets.   Leave us a voice message Find us on Twitter Send us an email Questions Answered in the Episode: • What is Benford's Law and how does it predict the frequency of leading digits in data sets? • Why do natural data sets like city populations and surface areas often follow a logarithmic distribution of first digits?

Ever wonder how a website knows your credit card number is "invalid" before you even hit the submit button? In this commando-style holiday episode, Pete and Noah dive into the secrets of Luhn's Algorithm, a clever approach that uses simple arithmetic to validate sequences of digits. Leave us a voice message Find us on Twitter Send us an email Questions Answered in the Episode: • How does the Luhn algorithm work to validate credit card numbers? • Why do credit card companies use a checksum digit?

It's a simple question: What's your favorite number? But as Pete and Noah discover in this special episode, the answers are anything but simple—they're deeply personal, surprisingly mathematical, and always connected to a story. Join our hosts as they open up the floor to listeners, friends, and family to find out their favorite numbers and the fascinating reasons behind their choices. Leave us a voice message Find us on Twitter Send us an email Questions Answered in the Episode: • What numbers do people choose as their favorite number? • What are some reasons people choose certain numbers as their favorite?

Hey there Math Club.  Our most recent episode, Math Club Junior:  It's a Zoo Out There, was our second special episode made specifically for kids.  When Noah was planning how he wanted to use the episode with his own third grade class, he knew that some visuals would come in handy, so he created a slide deck with images to go along with each problem that the students will have to solve.   If you'd like to use this resource along with the audio, you can find it by going to: https://bit.ly/mcj_zoo We hope you find these images to be fun and helpful, and we'll see you next time!