Logo Design Contest for Homeschoolers

Carnival of Homeschooling: Yearbook Edition

4th Charlotte Mason Blog Carnival

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Month: October 2007

## Contest for Homeschoolers, Carnivals for Everyone

## The “I Rank #1 on Google!” Meme

## Here Are the “Rules”

## How Shall We Teach Fractions?

## I Couldn’t Resist…

## Rewriting the History of Math

## More Fun with Hexa-Trex

## Carnival of Math #19

## Quiz: Those Frustrating Fractions

## Question #1

## How to Solve Math Problems

### That’s a Tough One!

## What Do We Mean by “Assume”?

David Ng started it. Kurt Van Etten improved it. And I heard about it from MathMom. Now, you’re invited to play, too. It’s fun!

**1.** Search for your blog on Google. Try to find 5 different phrases that produce your blog as the #1 hit.

**2.** You may enclose the search phrase in quotes if necessary, but a search without quotes is preferred.

**3.** Score your search phrases based on the total number of hits. As Kurt wrote:

The ideal search phrase would have your blog being number one out of something like a million hits returned. As it turns out, this is much easier to do than it might sound.

How did you fare on the Frustrating Fractions Quiz? With so many apparent inconsistencies, we can all see why children (and their teachers) get confused. And yet, fractions are vital to our children’s test scores — and scores are important to college admissions officers. What is a teacher to do? Must we tell our children, “Do it this way, and don’t ask questions”?

Parents and teachers are tempted to wonder if the struggle is worth it. After all, how often do you divide by a fraction in your adult life? If only we could skip the hard stuff…

And since this is supposedly a teaching blog, here are some “educational” links:

Here are a couple of quick links to math in the news:

- MathTrek: A Prayer for Archimedes

It turns out Archimedes was even closer to discovering calculus than we had thought.

- Tales of the golem: With many cheerful facts about the square of the hypotenuse

While Pythagoras, on the other hand, sees his place in math history threatened by an experimental disproof of the Pythagorean Theorem. [Hat tip: jd2718.]

My elementary Math Club students had fun practicing their math facts and “out of the box” thinking with Hexa-Trex puzzles. The object of Hexa-Trex is to find a path through all the number and operation tiles to make a true equation. The “Easy” puzzles are just the right level for my 4th-5th grade students, although they get stumped whenever the equations require Order of Operations. One girl enjoyed the puzzles enough to take our extra pages home for her dad.

Hexa-Trex puzzles were featured in the October issue of Games magazine, and now you can enjoy Hexa-Trex away from the computer with Bogusia Gierus‘s new book, The First Book of Hexa-Trex Puzzles. If you are thinking ahead to Christmas (can it be that time already?!), and if you have a puzzle lover in the family, this little book would make a fun stocking-stuffer.

Mark at Good Math, Bad Math came up with the most creative theme I’ve seen for a blog carnival yet, with his Carnival of Math: The Spam Edition. Apparently most of us have been too busy to send anything in. Even though it’s a small carnival, there are several good articles to visit. Enjoy!

*[Photo by jimmiehomeschoolmom.]*

Fractions confuse almost everybody. In fact, fractions probably cause more math phobia among children (and their parents) than any other topic before algebra. Middle school textbooks devote a tremendous number of pages to teaching fractions, and still many students find fractions impossible to understand. Standardized tests are stacked with fraction questions.

Fractions are a filter, separating the math *haves* from the luckless *have nots*. One major source of difficulty with fractions is that the rules do not seem to make sense. Can you explain these to your children?

Start with an easy one…

If you need a common denominator to add or subtract fractions…

**Why don’t you need a common denominator when you multiply?**

What can you do when you are stumped? Too many students sit and stare at the page, waiting for inspiration to strike — and when the solution doesn’t crack their heads open and step out, fully formed, they complain: “Math is too hard!”

So this year I have given my Math Club students a couple of mini-posters to put up on the wall above their desk, or wherever they do their math homework. The first gives four questions to ask yourself as you think through a math problem, and the second is a list of problem-solving strategies.

Almost all math problems call for the student to assume one thing or another. Without assumptions — definitions, postulates, axioms, common notions, or whatever you want to call them — mathematics of any kind is impossible. Tony at Pencils Down (who plans to be a math teacher when he grows up) reminds us that, necessary though it may be, we are stepping on dangerous ground when we assume: