Tag Archives: math education

Why a half should NOT be a half

Humor Post #62 from the world’s Crankiest Curmudgeon’s Middle School Blog (and probably the awesomest YA blog too) –

Math scores ain’t so high in this country, if you can believe what all those international test results show. Now I’m pretty good at math, but I gotta admit, there’s a lot about it that could be improved. Like fractions, for instance. That’s what I’m going to rant about today. Okay, it’s not going to be a rant. I will be very calm and patient as I explain how THE WAY FRACTIONS ARE NAMED MESSES LITTLE KIDS UP RIGHT AWAY!

See, I was working with my little pal Jojo again. (You can see the last time I worked with the little guy here.) He’s the little brother of a friend of mine and I want to get it where he’ll be considered a junior genius. That shouldn’t be too hard considering who’s teaching him. So I figure I’ll help him get ahead in math. I can picture some scene where his kindergarten teacher is saying, “Okay, class, let’s practice counting up to 3,” and Jojo will go start asking her questions about atomic particle accelerators or 3D quark generators or something else I’ve taught him. All the other kids’ mouths drop open. The teacher will be just a little bit surprised.

At least that was the idea I had. I like to shake things up, ya know.

So since Jojo already knows how to count, I thought I’d start him off with some simple fractions. I got out a chocolate chip cookie — he likes those — and cut it in half. Then I tried to show him how there were two halves in a whole. But he immediately got mixed up with the word “whole” and asked why I wanted to put his cookie into a hole. “I don’t want my cookie all dirty,” I think is the exact quote I got. No, no, I tried to explain how a “whole” meant “one” and I was already getting the little dude confused. But I plowed on anyway.

The next step was to show him when the cookie was cut in two parts, each part would be called a “half.” That blew his little brain even more. So I showed how to cut a cookie into four pieces and each piece would be called a “fourth.” So Jojo asks, “How about if you cut the cookie into six pieces?” and I say, “Then each piece would be a sixth,” so he says, “So if it’s in two pieces, why don’t they call it a twoth?”

Now he had ME all messed up. What a great question! We have fourths, sixth, eighths, tenths, and all the rest. Now “thirds” and “fifths” might throw you off a little, but at least the first two letters are the same. But to change a “two” into H-A-L-F makes NO SENSE! And then there’s that plural of HALF which changes the f to a v. How’s a little guy supposed to learn this stuff? How’s anyone supposed to get it?

THE VERY FIRST FRACTION THEY GIVE YOU — THE ONE THAT SHOULD BE, YOU KNOW, THE EASIEST ONE — GETS YOU ALL BAMZOODLED.

They really should call it a “twoth.” But of course they won’t cause that would get kids mixing up fractions with teeth. (Which makes me wonder why they don’t call more than one half “heef.” But that’s a whole ‘nother thing to consider another time.)

So anyway, to help little Jojo and everyone else in the world who’s ever gotten mixed up learning fractions, here’s the new diagram I think should go in every new math book there is so EVERYONE CAN LEARN FRACTIONS WITHOUT GETTING THEIR HEADS ALL FLIPPED UPSIDE DOWN.

Go ahead, show this to your teachers and see if they don’t have to agree with you. But they probably won’t want to because that would rock their worlds too much, ya know.

So go have a great day (or night) and remember who’s doing his best to make the world make better sense for everyone.

That would be:
Dr. Crankenfuss
The Dude with the ‘Tude

Hey, you thought 6th grade math was hard? Try these 4th grade problems.

Humor Post #60 from the world’s Crankiest Curmudgeon’s Middle School Blog (and probably the awesomest YA blog too) –

Way back on March 14, I gave you some sixth grade algebra problems that our teacher was giving us to prepare for the EOGs (those standardized End-of-Grade Tests). These tests — They’re next week! Y-a-a-a-a-h! — are really important because they supposedly let the world know how smart we are, how good our teachers are, and how good our schools are. Well, maybe they tell you that stuff and maybe they don’t. I’d just like some adults, mainly the ones who make us take these things, to subject their brains to the same tests. You know, let them do the sweating for once. I don’t think the results would be very pretty. Kind of like a dog’s behind, if you know what I mean.

Now I knew it was bad, but I didn’t know how bad it really was till yesterday. See, I got sources deep inside the school system and they’ve been feeding me some valuable inside info. Actually they’re just a couple kids down the street who are in the fourth grade at a school near us. But they showed me the kind of stuff they have to do in class to get ready for their EOGs. As the TV Batman would say, “Holy hippopotamuses!” And I would say, “I feel for you, little dudes. These problems are harder than my head!” And baby, that is H-A-R-D! These stupid problems were ridiculous! How can anybody expect fourth graders to do these things? It’s like they think we’re in college or something!

Think I’m whining too much? That I’m being too much of a Crankenfuss?

Well then, you try ’em, wise guy! And remember, these things are meant for FOURTH GRADERS! I’m just giving you four little bitty questions. There were 12 on this homework sheet! Get ready for a lickin’ that’ll keep on stickin’, folks.

FOURTH GRADE EOG PRACTICE TEST QUESTIONS

1. Darius and Charlie are saving quarters. Darius saves 7 quarters for every 3 that Charlie saves. How many quarters will Charlie have saved when Darius has saved up 42 quarters?
a. 45
b. 21
c. 18
d. 35

2. Using these three pieces of information, which of the four answers is true?
Information Piece #1: R + R = K + R + K
Information Piece #2: R + K = G + G
Information Piece #3: R = 20
a. R < G b. R > K
c. K > G
d. G > R

3. What is the value of the expression 6 X 8 + 12 ÷ 2?
a. 30
b. 54
c. 60
d. 84

4. Ms. Jones wrote this expression on the white board: 27 – 5 X 4 + 6 =
Which operation should a person do first to find the value of the expression?
a. 27 – 5
b. 5 X 4
c. 4 + 6
d. 27 + 6

Had enough yet? As they like to say at Staples, “THAT WAS EASY!”

Click here to see how you did. But you might want to take an aspirin first. And let other people try these questions out. Maybe they’ll take some pity on us poor students and get teachers to give us some work that’s a teeny bit easier.

From the Dude who’s watchin’ out for all the kids out there,
Dr. Crankenfuss