I became a big fan of Marcus du Sautoy when I read his books Symmetry, and Music of the Primes.
Then I discovered the TED video, Symmetry: reality's riddle.
Happy Holidays, everyone!
I'll give $20 as an Amazon gift card (or PayPal cash) to whoever, in my opinion, comes up with the best caption for the image below. Click on the image to gain the full, mind-boggling, effect. The small piece of the image you see here doesn't do the picture justice.
Leave your submission as a comment and make sure to put your email in the email field of the comment form so I can contact you if I like your caption best.
Contest ends 12/31/2009. Have fun!
Hat tip to Cliff Pickover for the tweet pointing to the image.
Crewton Ramone's Blog of Math has a couple of videos that show the power of using manipulatives to do multiplication. I've always been pretty decent at multiplication yet I enjoyed seeing how manipulatives can really help students to get grounded into what multiplication really means. His videos demystify the cross-multiplication tricks that I and others present. And, Crewton does a great job of showing how to do visual multiplication using symbols so you don't need need to even buy any manipulatives. For small kids, it's great because they get to turn multiplication into counting! And, best of all, Crewton has a nice enthusiasm about teaching the basics to kids as you'll see if you peruse his blog.
You may think of it as an "appetizer sampler" for the topic - "A Splash From The Complex Plane" - to quote the title of a diagram in the final pages of the book.
And a great sampler it is. Seven chapters, six appendices, and numerous illustrations provide a nice and deep introduction to the subject.
What fun thing can you make with card stock and scotch tape? Check out this video and find out.
Hat tip to Denise at Let's Play Math.
I really like optical illusions. Until recently, my favorite was this one. But, I have a new favorite now.
Here's one that bothers me. See if it bothers you.
Look at the image below. Which square is darker, A or B, or are they the same color?
A hat tip to John Cook for blogging about this illusion.
I've been a fan of Clifford Pickover since I discovered his books a couple of years ago. Some of Pickover's book are like Martin Gardner's in that they present problems that inspire Math exploration. But, I must say that many of the problems that Pickover proposes are very difficult ones. Inspiring, yes. Rich in exploration values, yes. Easy, no. The Math Book is a different kind of book. It's a survey of 250 milestones in the history of Math. It has beautiful full page color illustrations. It's approachable for the mathematically curious crowd in the same way that Theoni Pappas' books appeal to people who enjoy Math but are not hard core about it.
No Starch Press contacted me and offered me a review copy of the Manga Guide to Calculus. I have a hard time turning down a free Math book so I accepted.
I had never heard of "manga" before so I read up on the subject at Wikipedia.
"Manga consist of comics and print cartoons (sometimes also called komikku コミック), in the Japanese language and conforming to the style developed in Japan in the late 20th century. In their modern form, manga date from shortly after World War II, but they have a long, complex pre-history in earlier Japanese art."
So, manga is a style of comic book. The "Manga Guide to Calculus" aims to teach calculus in a comic book format. I was intrigued. I must be up front and say that I studied calculus in High School close to 30 years ago. I don't know that I'm a good person to judge whether the book effectively teaches calculus to High School or College students. But, I can share my impressions of the book.
My first thought is that I like the idea of having pictures in a Math book. I find that Math can be a very creative endeavor and that illustrations help to reinforce the idea that the creative right brain can be every bit as engaged in solving Math problems as can the logical left brain. When I write business proposals I always think of ways to break up the monotony with graphs or other illustrations. So, the book gets a thumbs up for being heavy on the pictures.
A second element that I really like is that the Manga Guide to Calculus tells a story. I strongly believe in storytelling as a creative way to teach. Telling a story makes the subject more personal and more engaging, in my experience. And, the book tells a fun story:
Noriko is just getting started as a junior reporter for the Asagake Times. She wants to cover the hard-hitting issues, like world affairs and politics. But, does she have the smarts for it? Thankfully, her overbearing and math-minded boss, Mr. Seki, is here to teach her how to analyze her stories with a mathematical eye.
So, the plot is fun. More than that, though, the story gives some very powerful examples of Calculus being used to solve real-world problems. This takes Calculus out of the realm of merely solving abstract problems into solving problems that scientists and engineers really care about. As much as I love abstract Math I also very much appreciate it when the relevance of Math can be demonstrated.
I like this book. A lot. I found that the deeper I went into the chapters, the more I appreciated the teaching approach of using comics and weaving in engaging stories and those real-world examples. As you might expect, the book doesn't go beyond very basic Calculus. But, it does do a very nice job of covering differentiation (including techniques and related theorems), integration, Taylor expansions, and partial differentiation. The Manga Guide to Calculus would make the perfect gift for a high school or college student who is curious about calculus or who, perhaps, is taking Calculus.