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Narnia Math: Elementary Problem Solving 4th Grade

[Photo by armigeress.]

In 4th grade, math problems take a large step up on the difficulty scale. Students are more mature and can read and follow more complex stories. Multi-step word problems become the new norm, and proportional relationships (like “three times as many”) show up frequently. As the year progresses, fractions grow to be a dominant theme.

As a math teacher, one of my top goals is that my students learn to solve word problems. Arithmetic is (relatively) easy, but many children struggle in applying it to “real world” situations.

In previous posts, I introduced the problem-solving tools of word algebra and bar diagrams, either of which can help students organize the information in a word problem and translate it into a mathematical calculation. The earlier posts in this series are:

In this installment, I will continue to demonstrate the problem-solving tool of bar diagrams through a series of ten 4th grade problems based on the Singapore Primary Math series, level 4A. For your reading pleasure, I have translated the problems into the universe of a family-favorite story by C. S. Lewis, The Lion, the Witch and the Wardrobe.

UPDATE: Problems have been genericized to avoid copyright issues.

Continue reading Narnia Math: Elementary Problem Solving 4th Grade

Cardstock Geometry Puzzle

While browsing the Kim Komando website for ideas I could use in my blogging class, I followed a rabbit trail through Kim’s video archive. I think we will try this in Math Club next semester:

If the embedded video doesn’t work on your computer, you can find the original here: Unbelievable Paper Transformer.

Update

Simon posted a template for the puzzle at his MathsClass blog.

Math Teachers at Play #20

blue icosahedron, by shonk[Photo by shonk.]

Welcome to the Math Teachers At Play blog carnival — which is not just for math teachers! If you like to learn new things and play around with ideas, you are sure to find something of interest.

Let’s start the mathematical fun with a couple of puzzles in honor of our 20th edition: First, the shape to our right is an icosahedron, one of the Platonic solids. Each face is an equilateral triangle — can you count them? For more fun, make your own model.

Continue reading Math Teachers at Play #20

Math Teachers at Play Changes

stopwatch hand by nDevilTV[Photo by nDevilTV.]

This month, our Math Teachers at Play blog carnival switched to a once-a-month schedule. We’ll publish the third Friday of each month — which is this week!

Teachers, homeschoolers, or anyone else who enjoys playing around with math: Wednesday night is the deadline to send in your thoughts, ideas, tips, or tricks about math using this handy submission form. Posts must be relevant to students or teachers of preK-12th grade mathematics. Old posts are welcome, as long as they haven’t been published in past editions of this carnival. Most bloggers have interesting gems buried in our archives. Why not dust one off and share it anew?

Hosts Needed

With the schedule change, I also need to rebuild the queue for hosting the Math Teachers at Play. If you blog about teaching or learning in grades K-12, and if you write about math at least occasionally, I would love to have you consider hosting the carnival sometime. Here’s how to sign up:

  1. Check out the schedule on the “future hosts” tab at the MTaP home page,
  2. pick a month that fits your schedule,
  3. and then let me know.

And don’t worry if you’ve never hosted a blog carnival before — it’s easy, fun, and great publicity for your blog! I’ll send you a detailed email of instructions to get you started.

Carnival of Mathematics #59

Welcome to the Carnival of Mathematics! We’ve got a full roster this time, including roller coasters, topological Turán theory, a mathematician arrested as a spy, a plane running out of fuel mid-flight, speed limits in Conway’s Game of Life, and much, much more…

The 59th Carnival of Mathematics features 59 blog posts (counting the multi-part posts and the carnival post itself) on a wide variety of interesting topics. Drop in and enjoy the browsing!

Math Teachers at Play #19 via Math Mama Writes

Check out the new math carnival to discover plenty of great fun for all ages:

Are you wondering where MTAP #18 went? Here’s the story (contest-winning entry from Lisa Downing), and we’re sticking to it!

“The Odds were at odds with the Evens. It never seemed fair to them that two Odds made an Even but two Evens didn’t make an Odd…”

[Click over to MTaP #19 to read more.]

New Blog: 19 & Still Alive

old man by Niner[Graphite drawing by Niner.]

Niner (pronounced Neener), who takes the photos for my blog header — which reminds me, we’re about due for a new one of those… — has started a new blog. She calls it 19 & Still Alive, because “the world doesn’t end when you’re 16 if you don’t go to Prom or don’t get your driver’s license. (I never went to Prom, and I didn’t go through Driver’s ED until 17, but I’m alive, amazingly.)”

There won’t be any math there, or at least I don’t expect to see any; the blog will be mostly her rambling thoughts about whatever catches her interest. But she does have a wonderful graphite drawing based on the photo Masarwa man. On her blog, you can click the image to see him up close and personal. Wow!