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82 afleveringen, van nieuw naar oud
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Math Problems: An Interview with Anneke Schreuder about Dyscalculia
17 mei 2023 · 48 min
We all know people who describe themselves as "not a math person". For many of them it's not simply a preference, but a neurological condition. In this episode, Pete and Noah speak with Dr. Anneke Schreuder about dyscalculia, the lesser-known mathematical counterpart to dyslexia. Join us for an eye-opening conversation as we learn what it is and how it can be identified and treated. Lees meer
https://dyscalculiaservices.com/
Dyscalculia Headlines
Free dyscalculia screener
Become a dyscalculia tutor
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Questions Answered in the Episode
What is dyscalculia and how does it affect the brain's ability to process math?
What are the early warning signs of dyscalculia in children?
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One, Singular Sensation: The Role of 1 in Ring Theory
3 mei 2023 · 42 min
The Beach Boys are famous for "getting around", but do you know that the number one gets around a lot, too? In this episode, one takes center stage as Pete and Noah take a central look at some of the places, both exotic and familiar, that one gets around to. This is "one" episode you don't want to miss! Lees meer
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• What is the definition of a mathematical ring?
• How do mathematical rings relate to the number one? -
Paradox City
19 april 2023 · 32 min
Happy birthday… to us! The Math Club is one year old today, and Pete and Noah are celebrating with a fun-filled discussion of the birthday paradox. Come join the celebration - you might be surprised where it takes you! Lees meer
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• How many people are needed in a room for there to be a 50% chance of two sharing a birthday?
• How does the birthday paradox use probability to calculate shared birthdays? -
Your Mileage May Vary: Miles per Gallon vs. Gallons per Mile
5 april 2023 · 31 min
How much do you think you spent on gas when you took your last road trip? If you live in the United States, chances are that would make you think about your car's miles per gallon. But in other parts of the world, fuel effieciency is measured not in MPG, but in gallons per hundred miles. In this epsiode, Pete and Noah examine this fraction-flipping phenomenon, and weigh in on which version they like better. So hop in the car and get ready to go for a ride with the Math Club. Lees meer
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• Why is gallons per 100 miles a more accurate metric for comparing fuel efficiency improvements than miles per gallon?
• How do you convert miles per gallon into gallons per 100 miles? -
Divergent Thinking: Working with Divergent Series
22 maart 2023 · 50 min
If we gave you a bunch of positive whole numbers and asked what you get when you add them all up, you'd have a pretty easy time of it... you are The Math Club, after all. But what if we gave you an infinite series of positive whole numbers and asked you what you get when you add them all up? In this episode, Pete and Noah talk about how mathematicians go about assigning a value in this seemingly impossible situation. Join us and learn about divergent series, and be ready to be surprised by some of the results. Lees meer
• The Numberphile video
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• What is the difference between a convergent series and a divergent series?
• How can the sum of all positive integers be negative one-twelfth? -
Proof of Concept: A Discussion about Mathematical Proofs
8 maart 2023 · 36 min
If you ever took a geometry class, you probably had to do some mathematical proofs. From the ancient Greeks to modern day mathematicians, proofs have played a vital role in advancing our understanding of the world around us. In this episode, Pete and Noah talk about their own experiences with proofs and look at several different kinds of proof along the way. Hop aboard the math train, and join us in an exploration of the fascinating world of mathematical proofs. Lees meer
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• What are the different types of mathematical proofs?
• Why are geometric proofs often taught in a two column format? -
The Unprofessional Math Development Club
22 februari 2023 · 42 min
This week Pete and Noah team up with Shane and Mealey from the Unprofessional Development podcast, a show that features guests from the world of education sharing their stories about teaching. This joint episode finds the four hosts discussing teaching, math, teaching math, and spicy foods. Lees meer
• Unprofessional Development Podcast
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Math Like an Egyptian: Exploring Egyptian Fractions
8 februari 2023 · 29 min
When you think about parts of a whole, you probably picture fractions that consist of a numerator and a denominator. But that's not how all cultures throughout history worked with fractional parts. In this episode, Pete and Noah visit ancient Egypt and discuss the completely different way their mathematicians showed parts of a whole. Plus, there's a puzzle about camels! Lees meer
• Rhind Mathematical Papyrus
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• What is an Egyptian fraction and how were they written in ancient Egypt?
• How did the ancient Egyptians use unit fractions to solve practical problems? -
Game Changer: Our History with the Monty Hall Problem
25 januari 2023 · 28 min
In September of 1990, Parade Magazine columnist Marilyn vos Savant answered a reader's question about a mathematical brain teaser, and received quite the backlash when most of the math community thought her solution was incorrect. Just about three years later, two new friends (and future Math Club hosts) bonded over math for the first time, discussing and debating this exact same puzzle. In this episode, Pete and Noah weave the two stories together into an interesting discussion about conditional probability, counterintuitive results, and being gracious when confronted with, what you believe is, someone else's error. Lees meer
Try our Scratch simulation
Try our faster Scratch simulation
Monty Hall interview about the problem• Leave us a voice message
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• What is the Monty Hall problem?
• Why is it better to switch doors in the Monty Hall Problem?
• How does conditional probability explain the Monty Hall problem? -
Math Club Junior: An Interactive Math Story for Elementary Students
11 januari 2023 · 27 min
This episode is a special math adventure for younger listeners. Pete and Noah are called into school to help with all of the mathy details around a class pizza party, and quickly discover that math is all around us all of the time. Chock full of interesting characters and math challenges for listeners to solve, this story is sure to delight listeners from third grade on up. Lees meer
Interactive website that goes with the story: https://bit.ly/mathclubjunior
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You Say You Want a Revolution: What is Gabriel's Horn
14 december 2022 · 36 min
In this episode, Noah comes to Pete for some help with a really big paint job. After Pete explains just how big (and impossible) the job really is, they have a conversation about surfaces of revolution, and the seeming paradox of Gabriel's Horn. Lees meer
Hyundai's 35 meter vuvuzela
Leave us a voice message with your favorite math joke
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• What is Gabriel's Horn?
• How can a shape have infinite surface area but finite volume?
• What is a surface of revolution? -
So Many Birds: Counting The Twelve Days of Christmas with Karl Gauss
30 november 2022 · 19 min
Season's Greetings, Math Club! With the holidays on the horizon, a famous song leads Pete and Noah to talk about strategies for adding up long sequences of numbers. Come join the fun, and learn how a young Carl Gauss may (or may not) have done it. And if you're up for a challenge, we even "sum it up" with a special holiday puzzle for you to try. Lees meer
• Brian Hayes's article in American Scientist
• Submit your puzzle solution here - Google Form
• Submit your puzzle solution here - Twitter
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• What was the method Carl Friedrich Gauss used to quickly sum the numbers one through 100?
• What is the general formula used to find the sum of an arithmetic series for the first n integers? -
Imagining Numbers: The Quaternions and Other Number Systems
16 november 2022 · 30 min
In our last episode, Pete explained to Noah that imaginary numbers aren't so imaginary after all. This time around, he shows Noah how all the other numbers kinda are. So, if you thought there was something less than real about the square root of negative one, wait 'til you hear about the square root of positive two! Buckle up, Math Club, it's time to let our imagination run wild!! Lees meer
3Blue1Brown's video on visualizing quaternions
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• What is the mathematical definition of an irrational number?
• How do quaternions expand upon the complex number system? -
Math Complex: What are Imaginary Numbers?
2 november 2022 · 25 min
Imaginary numbers. We've all heard about them, but… what are they? Why are they imaginary? And what can we do with them? In this episode, Pete and Noah take on these questions and explore a bit of the history and practical applications of these unusual and complex numbers. Lees meer
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• Who coined the term imaginary numbers and why?
• What is the geometric interpretation of a complex number? -
Getting Into Shape: Topological Deformations
19 oktober 2022 · 42 min
In this episode, Noah's having trouble with an old game from his childhood until Pete saves the day by tackling the twisty turns of topology. From donuts to coffee cups, and spheres to tori (or, as Noah calls them: toruses), come explore the interesting world of continuous deformations. It's time to get into shape! Lees meer
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• What is the difference between topology and geometry?
• How do you calculate the Euler characteristic of a shape? -
Oh, For the Love of Math: An Interview with Dan Finkel of Math for Love
5 oktober 2022 · 45 min
In this episode, Pete and Noah are joined by Dan Finkel, founder of Math for Love and co-creator of the award winning game, Prime Climb. Listen in as they talk about Dan's work making math fun and accessible by tapping into children's natural desire to play. And because we know you love to play, too, Dan will also challenge you with a puzzle. Lees meer
Math for Love
Dan's TED Talk - 5 ways to share math with kids
Submit your puzzle answer
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• How was the game Prime Climb created?
• How can play-based learning improve student engagement and creative sensibility in elementary mathematics? -
Tales from Decrypt: Substitution Ciphers and Frequency Analysis
21 september 2022 · 40 min
Today's match-up answers the age-old question of what happens when an unstoppable brain meets an unbreakable cipher. In the red corner, weighing in at 2,193 digits…. Noah's deviously encrypted message! And in the blue corner.... The Commissioner of Codebreaking…. The Foreman of Frequency Analysis…. Pete's decoding skills! Only one will leave the ring victorious. Who will it be? Tune in and find out! The match is about to begin... DING DING DING! Lees meer
• Encrypted passage to decode
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• How do you use frequency analysis to break a substitution cipher?
• How can math help with decryption? -
Pi-lot: Approximating Pi
7 september 2022 · 22 min
Surprise!!! Pete needs some more time with the codebreaking challenge, so this week we're giving you a previously unaired bonus episode from The Math Club's earliest days (six months ago). Also, Alexa finally grows too big for her britches. Lees meer
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• How did Archimedes approximate the value of pi?
• Why is the ratio of a circle's circumference to its diameter constant regardless of the circle's size? -
Video Bonus: Key Ideas
25 augustus 2022 · 6 min
Yesterday's episode explored the Diffie-Hellman Key Exchange algorithm, including a section in which Pete and Noah came up with a valid generator for a modulus of 23. The rules about what makes a generator valid can be a bit tricky without visuals, so we made this video bonus to help illustrate what's going on here. Lees meer
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Key Ideas: Cryptography and the Diffie-Hellman Key Exchange
24 augustus 2022 · 40 min
If you use the internet, you rely on mathematical algorithms to securely transmit your private data over public networks. In this episode, Noah describes an encryption scheme he made up in high school, which leads to a discussion about how computers securely exchange encryption keys today. It all ends up with Noah getting Pete to put his money where his math is, by accepting an interesting decoding challenge. Lees meer
• Encrypted passage to decode
• Diffie and Hellman's original paper: New Directions in Cryptography
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• What is the Diffie-Hellman key exchange?
• How does modular arithmetic function as the mathematical foundation for modern encryption? -
Breaking News: Noah and Alexa Analyze Pete's Fall
10 augustus 2022 · 13 min
Pete's out with a broken leg, so Noah and Alexa use math to investigate the mathematics of his skateboarding accident. Listen in as they talk about angular momentum, the acceleration of falling bodies, and pounds of force generated upon impact. Lees meer
Free Fall with Air Resistance Calculator
Force of Impact Car Crash Calculator
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• How do you calculate the distance traveled on a skateboard half-pipe?
• How does the conservation of angular momentum affect a skateboarder's speed? -
Discovery vs. Invention: Where Does Math Come From?
27 juli 2022 · 43 min
Math always seems so objective, with little room for debate. In other fields there are sometimes huge disagreements among experts. But what about math? In this episode, Pete and Noah discuss the age-old argument of where math came from... was it a discovery or was it an invention? Join us as we dive into the debate. Lees meer
Here's a place where you can share your thoughts about our previous seven topics Were they more invention or more discovery? https://bit.ly/mathclubpodcast-ep8
Roger Penrose Video
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• Is mathematics a human invention or a universal discovery?
• How can mathematics be viewed as a combination of both invention and discovery? -
Ad Infinitum: Exploring Infinity
13 juli 2022 · 32 min
Infinity. Most kids first learn about this neverending concept when double and triple jinx don't seem to do enough anymore. There are infinity pools, the Infnity Engine, and even an Inifinity War. But how does infinity differ from the counting numbers and the familiar rules that govern them? In this episode, Pete and Noah use the paradox of Hilbert's Grand Hotel to explore infinity and discuss some of its interesting quirks. Lees meer
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• What is Hilbert's Paradox of the Grand Hotel and how does it demonstrate the properties of infinite sets?
• What is the difference between countable and uncountable infinity in mathematics? -
Video Bonus: Positive Thinking
30 juni 2022 · 3 min
Yesterday's episode dove into the numbers around a positive test result that is 99% accurate, when 1 in 100 people have a specific condition. The result was a bit surprising and counterintuitive, and this video bonus helps to show why it comes out the way it does. Lees meer
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Positive Thinking: Conditional Probability, Bayes' Theorem, and the Base-Rate Fallacy
29 juni 2022 · 25 min
In this episode, Noah's certain that he has a disease because he tested positive on a test that's 99% accurate. Does that mean he almost certainly has the disease? Pete's not so sure, and brings up a statistics concept to help shed some light on the numbers. Lees meer
• Our online simulator that you can play with
• Submit your puzzle answer here• Leave us a voice message
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• What is Bayes' Theorem?
• How does conditional probability affect medical test results? -
Video Bonus: Gleaming the Cube
16 juni 2022 · 4 min
In our last episode, Pete asked us to envision the rotational symmetry of a square as a way to simplify the same concept as it applies to the Rubik's Cube. Here's a video bonus to help visualize this example.
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Gleaming the Cube: The Mathematics of the Rubik's Cube
15 juni 2022 · 31 min
Lots of us have played with a Rubik's Cube at one time or another, but did you know this simple little toy is chock full of math? Join Pete and Noah as they talk about billions of combinations, set theory, and the maximum number of moves required to solve the cube. *Skateboard not required. Lees meer
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• How many possible combinations and valid configurations are there for a Rubik's cube?
• How does group theory and the study of symmetries apply to solving a Rubik's cube? -
Prime Time: Prime Numbers and The Fundamental Theorem of Arithmetic
1 juni 2022 · 26 min
You've heard about two-factor authentication, but have you heard about two-factor numbers? Of course you have! They're called primes, and in this episode Pete and Noah discuss what they are, how we find them, and some of the more interesting (and as-yet unproven) conjectures about them. Pete even speculates about how primes might make their Broadway debut! Lees meer
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• What is the fundamental theorem of arithmetic and why does it exclude the number 1 from being prime?
• How did Euclid prove that there are infinitely many prime numbers? -
Thinking Outside the Box: Newcomb's Paradox
18 mei 2022 · 32 min
In this episode, Pete and Noah provide opposing viewpoints on how to respond to a classic mathematical paradox. Lees meer
• Game Theory and Strategy - Textbook used in Pete's Game Theory course
• Are you a one boxer or a two boxer? - Use this link to let us know what you'd decide after listening to the episode.• Leave us a voice message
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• What is Newcomb's Paradox?
• How does Newcomb's Paradox illustrate the conflict between the dominance principle and expected utility? -
Triple Play: Investigating Pythagorean Triples
4 mei 2022 · 24 min
In this episode, Pete and Noah discuss right triangles, pythagorean triples, and why the Scarecrow's brain might not be all it was cracked up to be. Lees meer
• Pythagorean Theorem water demo
• 3Blue1Brown
• Plimpton 322• Leave us a voice message
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• What is the relationship between Pythagorean triples and the Pythagorean theorem?
• How can you calculate a Pythagorean triple using a mathematical formula? -
Video Bonus: Much Ado About Nothing
27 april 2022 · 2 min
Sometimes you just have to break out the ol' manipulatives and visual aides. Here's a video bonus to help clarify the von Neumann construction that Pete talked about in episode 1.
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Much Ado About Nothing: The Role of Zero in Math
21 april 2022 · 30 min
Welcome to The Math Club! In this, our inaugural episode, we start at the origin of all things: Zero. Join us as we explore the special role zero plays in our system of arithmetic and discuss the dazzling way John von Neumann created everything from... nothing! Lees meer
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• What is the importance of zero in place value and arithmetic?
• How did John von Neumann use set theory to construct the natural numbers?