Morning Coffee – 4 Nov 2019

Morning Coffee image

One of the best ways we can help our children learn mathematics (or anything else) is to always be learning ourselves.

Here are a few stories to read with your Monday morning coffee:

“Games aren’t just about practice and fluency. My favorite games create opportunities for learning, too. They spark discourse, promote the use of strategies, and allow students to dig into the mathematics.”

—Jenna Laib
The Simple-but-High-Leverage Game Collection: Making Games Routine

  • Have you read Pam Harris’s Development of Mathematical Reasoning series? Check out Part 1, Part 2, and Part 3. Well worth your time!

“The teacher’s role is to help students change the way they think, in increasingly sophisticated ways. The goal is not answers. The goal is development. We don’t need students who can just answer a multiplication question, we need students who can reason multiplicatively.”

—Pam Harris
The Development of Mathematical Reasoning

CREDITS: Feature photo (top) by Kira auf der Heide via Unsplash. “Morning Coffee” post format inspired by Nate Hoffelder at The Digital Reader.

Playing with Math @ Arithmophobia No More

Check out the latest carnival of playful math for all ages:

Sonya put together this carnival of mathematical fun with numbers and shapes, delightful books, and games for all ages.

“There are two types of math games/activities. The first type of game is primarily for practicing math facts. It’s my least favorite math game … The other type of math game develops mathematical thinking. Those are my favorite. They are the kind of game/activity that makes everyone want to play.”

—Sonya Post

Each monthly Playful Math Education Blog Carnival brings you a great new collection of puzzles, math conversations, crafts, teaching tips, and all sorts of mathy fun.

It’s like a free online magazine of mathematical adventures, helpful and inspiring no matter when you read them. Enjoy!

Click Here to Read the Carnival Blog

Help Us Keep the Carnival Going

The Playful Math Blog Carnival wants you!

The carnival is a joint effort. We depend on our volunteer hosts to collect blog posts and write the carnival each month.

Putting together a blog carnival can be a lot of work, but it’s a great opportunity to share the work of bloggers you admire and to discover new math-friends online. I love that part of being a host!

Classroom teachers, homeschoolers, college professors, unschoolers, or anyone who likes to play around with math — if you would like to take a turn hosting the carnival, please speak up.

Morning Coffee – 28 Oct 2019

Morning Coffee image

One of the best ways we can help our children learn mathematics (or anything else) is to always be learning ourselves.

Here are a few stories to enjoy with your Monday morning coffee:

“When you’re working every day, you’re not thinking, ‘What impact is this going to have on the world?’ You’re thinking, ‘I’ve got to get this right.’”

—Gladys West
quoted in Dr. Gladys West: The Black Woman Behind GPS Technology

  • I like to keep a quick game in reserve for spare time in my homeschool co-op class. Kent Haines explains Sprouts and suggests ways to launch math discussions.

“I don’t get irritated by these mistakes. I desperately wait for such mistakes. Yes! Because I think it is a golden opportunity for the teacher to spot a student thinking this way. It presents just the right context and time for driving an enriching mathematical conversation in the whole class.”

—Rupesh Gesota
Part-2: Re-learning and Enjoying Polynomial Division with students

“To teach students SSS congruence without pointing out why this is so interesting is harmful for two reasons. First of all, this is an amazing result. It is the our job to point out amazing results! Triangles are rigid figures in a way that other polygons are not.”

—Rachel Chou
Teaching the Distributive Property

CREDITS: Feature photo (top) by Kira auf der Heide via Unsplash. “Morning Coffee” post format inspired by Nate Hoffelder at The Digital Reader.

Morning Coffee – 4 Oct 2019

Morning Coffee image

One of the best ways we can help our children learn mathematics (or anything else) is to always be learning ourselves.

Here are a few stories to read with your Friday morning coffee:

  • In the spirit of cracking eggs to make omelets, Michael Pershan cracks open some of the ideas around Equations and Equivalence and relational thinking.

“My experience is that when I have vague hope that children will learn something from an activity that is related to the mathematics I want them to learn, they usually don’t.”

—David Wees
Hands on or minds on?

CREDITS: Feature photo (top) by Kira auf der Heide via Unsplash. “Morning Coffee” post format inspired by Nate Hoffelder at The Digital Reader.

Morning Coffee – 30 Sept 2019

Morning Coffee image

One of the best ways we can help our children learn mathematics (or anything else) is to always be learning ourselves.

Here are a few stories to read with your Monday morning coffee:

  • Kathy Iwanicki’s students explore an unsolved math puzzle: the Hailstone Sequence. I think my co-op class might enjoy this activity, too.
  • If you want to understand how number concepts develop through the school years, Graham Fletcher’s Progression Videos are a great place to start. Watch, re-watch, and learn.

“Learning occurs when we get something wrong and have to correct it. This is analogous to the much better known fact that when we subject our bodies to physical strain, say by walking, jogging, or lifting weights, the muscles we strain become stronger — we gain greater fitness.

“Indeed, the learning is better if the correction occurs some time after the error is made. Stewing for a while in frustration at being wrong, and not seeing how to fix it, turns out to be a good thing. Cracking your ego is an unavoidable part of learning.”

—Keith Devlin
On making omelets and learning math

CREDITS: Feature photo (top) by Kira auf der Heide via Unsplash. “Morning Coffee” post format inspired by Nate Hoffelder at The Digital Reader.

Morning Coffee – 27 Sept 2019

Morning Coffee image

One of the best ways we can help our children learn mathematics (or anything else) is to always be learning ourselves.

Here are a few stories to read with your Friday morning coffee:

  • Do you have early learners? Christina Tondevold explains the building blocks of Number Sense for Pre-K to 2nd grade children.
  • If it’s time to teach your kids about the order of operations, consider using David Butler’s graphic version The Operation Tower. But don’t let yourself be drawn into those “gotcha!” memes on social media. As Dave Peterson points out (using trig functions), Order of Operations flows from basic common sense. If you need parentheses to make your meaning clear, then use them.

“What do we need to know in order to accomplish the goal? Well, start asking questions. And remember, one unasked question could put the entire enterprise in jeopardy…”

—Joe Schwartz
Houston, 1964

“It’s a little weird, isn’t it, that prime means first, and yet the first number isn’t prime?”

—Ben Orlin
Why Isn’t 1 a Prime Number?

CREDITS: Feature photo (top) by Kira auf der Heide via Unsplash. “Morning Coffee” post format inspired by Nate Hoffelder at The Digital Reader.