18
Mar 13

Updike and Word Probems

I’ve been reading through a John Updike collection called Problems and Other Stories. I really enjoyed the collection as a whole, but I was thrilled to reach the title story and find out it is written in word problems. Above is an example. It reminds me of an ice breaking activity I did with an online class 2 semesters ago in which I had them write the word problems of their lives. I’m not sure why I stopped with it. We had a lot of fun with the idea.

25
Feb 13

Graphing Calculator Emulators

I caught a Lifehacker article about a webapp that emulates the most popular graphing calculators. The app is called JsTIfied. I prefer a webapp like Desmos that is built for the web, not meant to emmulate hardware. But if you know the TI-83 inside and out or are nostalgic for those good old days, this might be for you.

4
Feb 13

Math + Rap

This is a great story of a high school math teacher using rap to lift algebra off the page a little. Here is his YouTube channel so you can check out some of the videos mentioned in the NPR story above.

Thanks, Colleen, for sending this my way!

14
Jan 13

Factor Rainbows

I’m quite familiar with factor trees (below), but walking into my daughter’s school the other day, I saw my first factor rainbow. I love this visual. I think I have to start using it in my factoring trinomials unit.

12
Nov 12

Graphing + Emotions

I’ve seen this graph a couple of times in my daughter’s school. It breaks “mood” into two axises. Feeling is, the x-axis, and energy is, the y-axis. I’m not sure how psychologically valid this is. It would seem some moods might be hard to place; and vice-a-versa, some regions of the graph would be tough to map to an emotional state. For example, what emotional state would the origin be? However, the mood meter, like a lot of mathematical models, derives it’s usefulness from its simplicity. I had a great time bringing this into one of my Elementary Algebra classes the other day. Everybody was talking about their quadrant .

1
Nov 12

Math Search Engine

Here is a great new search engine for math teachers and math students. It solves the problem-concept gulf that often exists between teachers and students. If a math teacher and a student look at 2x+3=17. The teacher will think, “a linear equation.” The student will think “I have to move the the 3 three over and then divide by 2.” As I have tried to encourage my students to use the web more to learn math, this gulf has been a recurring problem. If a student runs into an equation like 2x+3=17 and tries to use Google to learn how to do it, they more than likely will have a problem figuring out what search terms to input (like ’solving linear equations’). On the other side of things if the student throws 2x+3=17 into WolframAlpha, WA solves it, graphs it, gives them alternate forms for the equation. The results are awesome, but don’t do much to connect the student to the larger class of problems. This is where Symbolab is awesome. You can enter a problem and it will connect you to web resources pertaining to the concept of which the problem is an example. Compare these three searches on 2x+3=17

Symbolab’s searches aren’t perfect. I noticed the search for 2x+3=17 was better than 2x+3=5 for whatever reason. However, it’s a great start in the right direction. I hope they continue to improve.

4
Oct 12

TED + Math

I was searching for something else and got sucked in by this provocatively titled TED vid, Why Math Instruction Is Unnecessary. It was a well spent 12 minutes. It basically follows how a middle school math teacher’s answer to the question, When will I ever need this?, has evolved over time.

10
Sep 12

MathTV

I’ve been mashing up web resources for my College Algebra class this semester. For the most part, I stick to Khan academy videos because students tend to like them and the library is so extensive. On some topics, I’ve been pushed out onto the web to supplement. One of the best math video resources I’ve found on the web is MathTV. There are a couple of things I really like about it. One, videos are introduced by the problem not by the topic. I have noticed, when pushing my students to find web resources on their own, a huge block for them is coming up with the relevant search terms for the skill e.g. simplifying complex fractions. However, they are much better at recognizing when a problem is similar to the one they want to solve. Therefore, MathTV makes it easier/faster for them to find what they are looking for. The second reason I like MathTV is they have multiple explanations of the same problem by different tutors. Sometimes there is even a Spanish language option.

The frustrating thing is that I can’t link directly to a list of videos on a particular skill. You can see them altogether, but there isn’t a unique URL for that view. They have a playlist creation function on the website that didn’t work very well that is supposed to accomplish this. But even if it did, that is a lot more work than I want to do. It would be nice to copy the link for “absolute value equations” directly from my browser, and then paste it into my discussion system.

27
Aug 12

Math + Mind Tickle

I place \$20 in a box.
So do you.
Now the box contains \$40, and we both know it.
I sell the box to you for \$30.
And we both walk away with a \$10 profit.

Jay sent over a link this great problem. It’s from one of my favorite blogs Futility Closet. This is the perfect kind of problem to throw out in class…easy to remember and easy to think through in a few minutes. What’s lovely is that initially it seems so plausible and yet impossible that they both profit \$10. It reminds me of a Nova show (embedded below) I was watching on neuroscientists studying magic. Most tricks rely on our visual system’s strong bias toward detecting and anticipating motion. I feel like this problem and ones like it trick our reason, possibly with the momentum of language? Whoa, that got deep! Better stop right there.

Watch Magic and the Brain on PBS. See more from NOVA scienceNOW.

27
Jul 12