Ladies and gentlemen welcome to the Playful Math Education Blog Carnival! This month’s carnival features the versatile number 135. It is the smallest number whose digits are the first three odd numbers. Watch 135 perform these AMAZING stunts:
135 = 1⁵ x 3³ x 5¹
135 = (1+3+5)(1×3×5)
135 = 1¹ + 3² +5³
135 made that last one look as easy as 1-2-3.
Carnival Wait Times
Now before we get started with our playful math blog posts, I would like to address wait times. Every worthwhile amusement park and carnival has lines in which people must wait. The playful math carnival loves lines and is no exception, but is waiting really a bad thing? In Solving 100÷3 Mentally: a Surprise, Marilyn Burns teaches and assesses children’s understanding of mathematics. She explains that patiently waiting for kids’ mathematical thoughts can actually speed up their understanding and enjoyment. Hence, it is all worth the wait!
Mr. Mathematics also waits patiently for his students to think problems through themselves. When an inspector tried to interview him about issues he faces in his department, he turned the tables and talked about his students’ learning so much because he waits patiently for his students to problem solve.
Robert Loves Pi has makes gorgeous mathematical art. For example, he’s made this design with circles, triangles and a pentagon and a beautiful rotating arrangement of a pentagrammic prism.
Since it is February, Colleen Young collected a very nice assortment of hearts related to mathematical content.
Mike and his sons of Mike’s Math Page produced some lovely geometric designs in A Fun Zometool project with Decagons.
Paula Beardell Krieg has published several blog posts on Frieze symmetry. Here is the start of that series of posts:
Description of first Frieze group. The part I liked most about making this post is making frieze symmetry with pattern blocks. It’s an interest constraint. https://t.co/NRcRgYNpy8
— Paula Beardell Krieg (@PaulaKrieg) February 1, 2020
I’ve seen the visual below several times before, but I didn’t realize its magnificence until I read Sara VanDerWerf post describing how she has used it to inspire herself, her students, and other teachers:
— Sara VanDerWerf (@saravdwerf) February 26, 2020
Ben Orlin has tips from four math teachers on what makes a teacher great:
— Ben Orlin (@benorlin) February 26, 2020
Food Court at the Math Carnival
Cool(ing) cookie math! Ask your kids: which cookie do you think is biggest? Can you use the grid of the cooling rack to make your case? #ediblemath #MathDebate #ParentsCount pic.twitter.com/IF61gbizqy
— Bedtime Math (@BedtimeMath) January 14, 2020
Here’s a tasty blog post:
I’ve played a ton of math games with my kids in the past couple of years, but none have been as whimsical as When is X Big?
— Kent Haines (@KentHaines) January 13, 2020
Did you know that 81² + 108² = 135²? That’s simply 27 times 3² + 4²= 5², the most famous example of the Pythagorean Theorem. The scarecrow from the Wizard of Oz sounds impressive when he recites something that sounds a little like the Pythagorean Theorem. Is the formula he gives true? Watch this short movie clip and tell me what you think:
— Robert Kaplinsky (@robertkaplinsky) January 13, 2020
Check out these geometry blog posts I saw on twitter:
NEW POST – Pt 2: Reattempting Circle Theoremshttps://t.co/zRCaJM6PuA
Booklet attached at the end. Enjoy
— Naveen Rizvi (@naveenfrizvi) January 18, 2020
Proof without words: Sum of external angle of a polygon @geogebrahttps://t.co/1C247Xgl3C#geogebra #MTBoS #ITeachMath #math #maths #EdTech #geometry #MathEd #FigureThat @mathieublossier
@bancoche @PerHenrikChris1 pic.twitter.com/DctK3Y6Aqr
— Daniel Mentrard (@dment37) January 19, 2020
Language Arts and Math
If you just asked students to write something about math, they might not have much to say, but if you gave them some of the wonderful prompts suggested by CLopen Mathdebater in Explore Math with Prompts, you might just be as pleasantly surprised as she was with her student’s writing and mathematical thinking!
Intersections–Poetry with Mathematics writes about a particular subject we’ve all seen in both word problems and nightmares: Those Trains in Word Problems–Who Rides Them?
Kelly Darke of Math Book Magic has been reading picture books about counting with her child. She explains why they found the picture book, 1-2-3 Peas, to be magical. She loved watching her child trace the illustrated numerals as they explored bigger numbers like 80 and made connections between numerals and the letters of the alphabet.
Playing Math with A.A. Milne: Two math games — counting for early learners, and negative numbers for elementary and middle school students. #letsplaymath #mtbos #homeschooling #iteachmath https://t.co/gih0ovoMia pic.twitter.com/okEX4v83xn
— Denise Gaskins (@letsplaymath) January 20, 2020
Math News Room
Here are some news articles related to math that I enjoyed reading this month:
5 tips to get your children excited about math. https://t.co/a3febYbNlA
— MAA (@maanow) January 19, 2020
“This project is about equity and equal access to knowledge.” Learn more about MAA member Martha Siegel’s work that is helping to develop math textbooks in Braille. #MathValues https://t.co/87SpoDOQ9E
— MAA (@maanow) January 20, 2020
Scarlett Howard has taught honeybees how to add, subtract and understand zero. Their ingenuity suggests that all animals may have more mathematical talent than we thought.#Science#Mathematics @TheBeesearcher @QuantaMagazine https://t.co/TEwfSnldM0
— Manuela Casasoli (@manuelacasasoli) January 23, 2020
Talk about timely math – in this math activity students figure out what each state’s fair number of delegates should be. https://t.co/cz62bbfXDj #iteachmath #MTBoS #Election2020 #socialstudies pic.twitter.com/JOch6XtBPy
— Brian Marks (@Yummymath) February 27, 2020
Katherine Johnson (1918-2020)
— NASA (@NASA) February 24, 2020
Museum of Math
Pat’s Blog can tell you what mathematical event happened on today’s date. For example, here is mathematical history for February 10.
Life Through a Mathematician’s Eyes shares the highlights of a history of mathematics for January.
The following images would fit in perfectly in any math museum:
— Simon Gregg (@Simon_Gregg) January 9, 2020
— Simon Gregg (@Simon_Gregg) January 9, 2020
Hello #PortfolioDay I’m John!
— John Harman (@thejohnharman) January 14, 2020
How about these optical illusion?
Simple but effective optical illusions https://t.co/Hqz4rEpeRc
— Martin Gardner tweet (@WWMGT) January 9, 2020
Probability and Statistics
Fraction Fanatic has been sharing resources every week since the beginning of 2020. In the first post of the year, This week, Number 1, we see ways to make leaf and stem plots and to make predicting probability both pertinent and fun.
Joseph Nebus regularly shares mathematically themed comics on his blog. In this one, he shares a comic that points out that those probabilities pertain to you personally, not just everybody else.
Mathtuition shares a math puzzle that will get kids in primary school thinking in Marbles Math Question.
Here are some other mathematical puzzles from blogs that I saw on twitter:
— Sarah Carter (@mathequalslove) January 15, 2020
— Bedtime Math (@BedtimeMath) January 17, 2020
You roll two normal six-sided dice, both containing the numbers 1-6.
When multiplying the two numbers that show, how many DIFFERENT answers is it possible to obtain?https://t.co/sjfcxnEr4S
— WALES GOLF MATHS (@7puzzle) February 18, 2020
K-8 Math Specialist Jenna Leib writes about learning and having fun with ten frames and tiny polka dots in Kindergarten Debate: Building Appreciation for Ten Frames. By the way, it’s the kindergarteners who are debating, not adults!
Given two ordered pairs, how do you find their midpoint? Don’t use some cheap trick. Math Chat has a midpoint strategy that students will remember forever, and it promotes mathematical understanding.
The writer behind Math QED earned a 770 on the math portion of the SAT and lists strategies to help you get a perfect score on that part of the test as well.
Here are a couple more blog posts about strategies that were shared on twitter:
— Jack Nicol (@geomathsblog) January 9, 2020
A4 – I’ve compiled links to the most popular downloads and strategies from my blog here.
— Steve Wyborney (@SteveWyborney) February 21, 2020
I hope you enjoyed all the attractions at this month’s Playful Math Education Blog Carnival.
Last month the carnival was hosted by Math Misery?, but so far no one has volunteered to host the carnival for the end of March. Perhaps you will consider hosting it! It is a lot of fun exploring other people’s blogs and selecting what to share, so do think about hosting it next month or some other time in the future. Click here to volunteer to host or to submit one of your posts to the carnival.
You may also want to check out February’s Carnival of Mathematics hosted by Stormy at Storm Bear World.