9.28.2009

A World without Math?

Another World

Try to imagine a world without numbers. No more addition or subtraction, algebra nor calculus. No more high school geometry. It would be pretty hard to get by without basic counting, such as being able to tell whether you had caught five fish or ten fish. Yet one tribe in Brazil seems to get by just fine with practically no comprehension of any mathematical concepts.

The inhabitants of the banks of the Maici river live in a world unlike our own. The difference goes beyond the lack of computers, cell phones and cars; one would be hard pressed to find that technology in the middle of any forest. Rather, for the Pirahã, numbers are just not a big part of their life. They can barely count, and anything more difficult than that is right out. That’s not all that’s different about them; They lack any examples of art or fiction, and their language has a grammar so radical that it could possibly disprove the theory that certain principles of grammar are shared by all languages– the universal grammar theory. The Pirahã certainly have a unique way of life.

The Pirahã are terrible mathematicians, unable to do even simple addition. Then again, it’s difficult to do any sort of calculation when you have no concept or words for exact numbers. There are really only three numeric words in Pirahã – “one,” “two,” and “many.” To add to the confusion, “one” doesn’t always mean exactly one – it could mean one fish, a small fish, or only a few fish.

There used to be a belief, however, that number words were not necessary for a concept of mathematics. Other tribes with similarly limited numerical vocabularies have managed to practice some mathematical concepts, however researchers have failed to teach the Pirahã even the most basic math. After eight months of lessons, none of the Pirahã could do anything more complicated than counting up to three. The rest of the mathematics is far beyond their grasp. This is not to say that they do not understand what math is– just that they cannot seem to do any of it.

A Pirahã attempting to count batteriesA Pirahã attempting to count batteries

9.13.2009

Math + Chewing Gum = Better Grades?

Math + Chewing Gum = Better Grades?


  • Chewing gum.


Chewing Gum Might Make Teachers Frown but It Improves Academic Performance, Study Says
By Bill Hendrick
WebMD Health News
Reviewed by Louise Chang, MD

April 23, 2009 -- Chewing sugarless gum during class and while doing homework may improve academic performance of adolescents, a new study says.

The research was underwritten by the William Wrigley Jr. Co., the Chicago-based chewing gum giant, but scientists from the Baylor College of Medicine say that didn’t influence the study’s design or its outcome.

And scientists who had nothing to do with the study say it’s likely that chewing gum can reduce stress, leading to enhanced concentration and thus better academic performance.

The results of the study, by Craig Johnston, PhD, an instructor of pediatrics- nutrition at the Baylor College of Medicine, and colleagues are were at the annual meeting of the American Society for Nutrition’s Scientific Sessions and Annual Meeting at Experimental Biology 2009.

Johnston and his team enlisted 108 eighth-grade students in four math classes, randomly assigning them to two groups: one group chewed Wrigley’s sugar-free gum during school, while doing homework, and also while taking a standardized test; students in the control group didn’t chew gum.

Johnston tells WebMD that students who chewed gum showed an increase in standardized math test scores after 14 weeks of chomping in class and while doing homework, compared to those who didn’t chew.

Gum chewing was associated with a 3% increase in standardized math scores, which Johnston terms small but still “statistically significant.”

The youngsters who chewed also had final math grades that were “significantly better” than those who didn’t chew, Johnston says.

The participants included 52 girls and 56 boys. The gum chewers reported chewing at least one stick of gum 86% of the time they were in math class and 36% of the time they were doing homework. Johnston says that chewing gum reduces stress and anxiety and increases arousal.

“Some researchers speculate that a decreased level of stress leads to better focus and concentration, which may explain the relationship between gum chewing and increased focus and concentration,” Johnston says. He adds that the study “demonstrates the potential benefits of chewing gum on academic performance in a real-life, classroom setting with teenagers.”

He says more research is needed to determine whether chewing would help people in other subjects, such as English and history, “but this is an exciting first step.”

Daniel Moran, PhD, an assistant professor of biomedical engineering at Washington University in St. Louis, says the results are plausible but that he needs more convincing, especially since the study was funded by a chewing gum company.

“It makes sense that if it’s acting as a stress reliever, it is making you smarter,” he tells WebMD after reading Johnston’s abstract. “I’d like to know more about the brain mechanism that’s affecting this.”

Michael Posner, PhD, a professor of psychology at the University of Oregon, says such studies are “difficult to evaluate” because “it is not possible to tell if chewing gum has an influence or whether those who chew gum are different in other ways from those who did not.”

He tells WebMD that there’s no evidence in the study that higher scores in math or other subjects wouldn’t result from “any form of eating or other movements."

“It could even be that the attitude created by being allowed to do something that might be forbidden in class might be important to the effect,” he tells WebMD. “The evidence of self-reported stress reduction and alertness seems to support the advantage of gum chewing over doing nothing, but does not indicate whether gum chewing has a special advantage over other forms of activity.”

Still, Johnston says educators who examined the study’s results were “impressed.”

The Wrigley firm says in a statement that the study is meaningful and should be of interest to parents “when related to small steps that can lead to better academic performance.”

It says the study builds on previous research but says it is chewing gum and not a particular brand that leads to better scores and reduced stress.

The study was supported by the Wrigley Science Institute, which says its research is focused on exploring the impact of chewing gum on focus, alertness, concentration, situational stress, weight management and oral health.

The Baylor researchers say their study in a “high stakes testing environment underscores the need for novel approaches to facilitate improved academic performance as standardized test scores have become a mandatory requirement for assessing academic achievement.”


So, what do you think? Will you chew gum while doing your math homework?

Leave any comments about the article below!

4.19.2009

Time of My Life

At the beginning of my time with all of you, I set the goal of reading 10 books recommended by students (and teachers) at GMS. I am proud to say that I met my goal! I finished Love that Dog and Hate that Cat during my last week. I have 10 books that I can add to my "must reads" list and would recommend all of them to anyone who is looking for a good read. Love that Dog and Hate that Cat are great books. They are stories told through poetry (which I love).






































I also have a list of books that I plan to read in the future. I will start with Tunnels... thanks, Tyler for that recommendation!



















So this is my last post as your intern... I am going to miss all of you!!! This has been such a great experience! Thank you for everything you taught me!

Feel free to leave comments or email me at my "teacher address" carlieconnair@gmail.com!

3.22.2009

What Would the World be Like without Math?

Today in class, we started a new unit on fractions and factorization. We talked about some big questions that we will be thinking about. One of those questions is: "What Would the World be Like without Math?" Please leave a comment to this post as an answer to that question. Write at least one example of something that would be different if math was never invented. Think about this question as you go about your normal everyday activities. How would they change without math? Be creative!

3.20.2009

The Hunger Games

As much as I like and highly recommend the Uglies Trilogy, I have decided to take a break from those books and read another recommended story. I am currently beginning to read The Hunger Games by Suzanne Collins. I have heard rave reviews about this book and am very excited to jump into the story! Thanks John E. for the suggestion!

3.16.2009

A Cloak for the Dreamer

This is a podcast of the book A Cloak for the Dreamer by Aileen Friedman. Thank you to the students of Mrs. Ross's homeroom for participating in the podcast project (Izzie, Abby P., Jamie, Will, and Andrew) and thank you Mr. C for doing the voice of the father.

Enjoy exploring tessellations after listening to this book! Check out http://www.tessellations.org/ for more information and to try making your own tessellation!


3.10.2009

I love reading!

READERS!

First of all, I want to thank all of you for the book suggestions! When I was in elementary school and junior high (I know that makes me sound old) I LOVED to read. As I got older, I didn't spend as much time reading stories and I lost a lot of my interest in fiction books. I spent most of my time reading articles and non-fiction books.
As a teacher, I honestly feel that reading is the key to life. You need it in many things that you do. You need to read in all of the classes you take (even math :). During my time teaching sixth grade, I have enjoyed reading so many books (I'm on my 7th one already). Thank you for helping me to love fiction books again! It has been fun to escape into the world of fiction and explore stories about new people!
I am currently reading the Uglies Trilogy. I finished the first book (Uglies) this past weekend and I'm starting Pretties today. I had originally thought that I would just read the first book, but I was completely hooked and wanted to read the next book. Thank you Riley and Kayli for suggesting the series!



















2.23.2009

Twilight



Today I started Twilight! It was recommended by 20 students, definitely a popular book! The first few paragraphs of the preface have drawn me in.

A Series of Unfortunate Events


I finished the book A Series of Unfortunate Events: The Bad Beginning in one day. It was an easy read and an amusing story. I recommend it to anyone before they see the movie. Thanks for the recommendation, Abbie S.!

2.18.2009

The Lightning Thief

Hello!

Hope you all are enjoying February vacation!

Thanks to Izzie for recommending The Named. I enjoyed the fantasy elements of the book. I have never read a story that was told in first person by two different people. It definitely makes the story interesting. I would pass along the recommendation. Mrs. Ross has a copy of the book and the two other stories in the trilogy.

I am currently reading The Lightning Thief which came with a strong recommendation from Jamie. I can't put it down! If you haven't read this book, I strongly urge you to give it a try! It is a fun and creative way to learn about Greek Mythology!

1.29.2009

The Named and More "Must Reads"

Well, my friends, I have officially finished The City of Ember. It was a great book! I look forward to finishing the series!

I have created a list of books that have been suggested to me by all of you, but I'm still looking for some titles to add to the list. Today I am starting The Named by Marianne Curley (recommended by Izzie).

1.25.2009

Must Reads

Although I consider myself more of a math guru, as a teacher I believe that reading is the key to unknown worlds and incredible possibilities (and it will really help you in life and in math!).

I just made a list of books that I consider must reads (you can see them if you look to the right of the page). As I was thinking of books, I realized that I need to expand my list and read some new books. So I made a HUGE GOAL... during my time at Gorham Middle School, I'm going to commit to reading 10 new books. I hope I'm not getting in over my head!

Here's where you come in. I would love to hear what books are on your "must read list" AND WHY. Convince me to read one of your favorite books! (I'm planning to read mostly young adult fiction, but if another genre is suggested, I will consider it.)

I've already had some conversations with some sixth graders about the books they love. So the book I'm starting with is The City of Ember by Jeanne DuPrau. I've already read a few chapters, and I can see why it is a favorite.



HELP ME CHOOSE MY NEXT BOOK!

LEAVE ME A COMMENT WITH YOUR BOOK SUGGESTIONS! (and remember to include a reason why you think I should read the book)

1.20.2009

MATH ABOUT ME!















Hello!

My name is Mrs. Connair and this is math about me.

I grew up in Pennsylvania, where I lived for (7 x 7) - (3 x 9) years.

I love the Phillies! My favorite player is Chase Utley, # (90/3) - 4.

I am excited when I'm outdoors biking, hiking, geocaching, and snowshoeing. My favorite spot is Bar Harbor. I've been there (146/73) times.

Making pottery makes me really happy. I've been creating pieces for (4 x 12) - 2 months.

Please leave me a comment! Tell me some math about you!













1.12.2009

First Post

This is my first blog post. More to come my friends... more to come!