In Honor of the Standardized Testing Season…

[Feature photo above by Alberto G. (CC-BY-SA-2.0) via flickr.]

The school experience makes a tremendous difference in a child’s learning. Which of the following students would you rather be?

I continued to do arithmetic with my father, passing proudly through fractions to decimals. I eventually arrived at the point where so many cows ate so much grass, and tanks filled with water in so many hours. I found it quite enthralling.

— Agatha Christie
An Autobiography

…or…

“Can you do Addition?” the White Queen asked. “What’s one and one and one and one and one and one and one and one and one and one?”

“I don’t know,” said Alice. “I lost count.”

“She can’t do Addition,” the Red Queen interrupted. “Can you do Subtraction? Take nine from eight.”

“Nine from eight I can’t, you know,” Alice replied very readily: “but—”

“She can’t do Subtraction,” said the White Queen. “Can you do Division? Divide a loaf by a knife — what’s the answer to that?”

“I suppose—” Alice was beginning, but the Red Queen answered for her. “Bread-and-butter, of course.”

“She can’t do sums a bit!” the Queens said together, with great emphasis.

— Lewis Carroll
Through the Looking Glass

…in other words…

If you could lead through testing, the U.S. would lead the world in all education categories. When are people going to understand you don’t fatten your lambs by weighing them?

Jonathan Kozol
at Westfield State College’s 157th Commencement

Continue reading In Honor of the Standardized Testing Season…

Math Carnival #2

Carnival of MathematicsThe math geeks have hit the town at the Second Carnival of Mathematics, which features a wide variety of articles to enjoy—many of which are admittedly over my head.

I liked these:

Puzzle: Is the spider hungry?

My Favourite Theorems 1 (Halting Problem)

The results are in!

It’s been a very busy few weeks, and I never got around to posting last week’s carnivals. Here are a couple of math-related posts from last week’s Carnival of Homeschooling:

How the four operations become two

Words of Wisdom from Reader’s Digest

And from the Carnival of Education:

Testing Higher Order Thinking Skills — Part Two

Mind Over Math — Believing It Makes It So

The Case of the Mysterious Story Problem

[Feature photo above by Carla216 via flickr (CC BY 2.0). This post was rescued from my old blog.]
I love story problems. Like a detective, I enjoy sifting out clues and solving the mystery. But what do you do when you come across a real stumper? Acting out story problems could make a one-page assignment take all week.

You don’t have to bake a pie to study fractions or jump off a cliff to learn gravity. Use your imagination instead. The following suggestions will help you find the clues you need to solve the case.

Continue reading The Case of the Mysterious Story Problem

Improper Fractions: A Mathematical Trauma

Feature photo (above) by Jimmie via flickr. Photo (right) by Old Shoe Woman via Flickr.

Nearing the end of Miquon Blue today, my youngest daughter encountered fractions greater than one. She collapsed on the floor of my bedroom in tears.

The worksheet started innocently enough:

\frac{1}{2} \times 8=\left[ \quad \right]

Continue reading Improper Fractions: A Mathematical Trauma

Mastering Miquon: Top Ten Tips

cuisenaire rods
Image via Wikipedia

[Rescued from my old blog.]

I love Miquon math, but the program does feel odd to many homeschoolers, especially at first. It is so different from the math most of us grew up with that it takes time for the teacher to adjust. DJ asked for Miquon advice at a forum I frequent, but I thought enough people might find these tips useful to justify an expanded repost. If you have more advice on teaching Miquon, please chime in!

Continue reading Mastering Miquon: Top Ten Tips

Elementary Problem Solving: The Early Years

[Rescued from my old blog. To read the entire series, click here: Elementary Problem Solving Series. Photo by Studio 757 via Flickr (CC BY 2.0).]

You can begin to teach your children algebraic thinking in preschool, if you treat algebra as a problem-solving game. Young children are masters at solving problems, at figuring things out. They constantly explore their world, piecing together the mystery of how things work. For preschool children, mathematical concepts are just part of life’s daily adventure. Their minds grapple with understanding the three-ness of three blocks or three fingers or one raisin plus two more raisins make three.

Wise homeschooling parents put those creative minds to work. They build a foundation for algebra with games that require the same problem-solving skills children need for abstract math: the ability to visualize a situation and to apply common sense.

Continue reading Elementary Problem Solving: The Early Years

Carnival of Mathematics: Inaugural Edition

Carnival of MathematicsThe Carnival of Mathematics: Inaugural Edition is up and running at Abstract Nonsense blog.

Alon writes:

I’ve gotten plenty of submissions that span the entire gamut of math-blogging: education, pure math, applied math, debunking bad math – it’s all there. Only the gender distribution could be made slightly more equal (and that’s an understatement). I’m linking to the posters in roughly increasing order of mathematical difficulty, but don’t let my opinions deter you from reading the posts closer to the bottom.

Indeed, there are many great posts to read. Enjoy!