Archive

Archive for the ‘Uncategorized’ Category

The Write Angle for Teaching Math: Why Write in Math Class?

Finding ways to get students to write about mathematics has played a pivotal role in my development and growth as a math teacher.  Mathematical writing challenges students to express their ideas clearly and efficiently; it forces students to stop thinking of mathematics as merely equations and answers; and it opens up a new and unexpected dialogue between math teacher and student.

I have always found great value and pleasure in writing.  It is a valuable skill, a necessary tool of scholarship, and a powerful creative outlet.  And now I see its value as a math teacher.  The more my students write, the more useful and interesting we all find it.

In this post, I’ll first address the question “Why Write in Math Class?”.

Why Write in Math Class?

There are infinitely many good reasons to write.  I’ll offer three that have been on my mind lately.

1)  Writing is a fundamental mathematical skill

Many people might not be aware of it, and many might not admit it, but good writing is a fundamental mathematical skill.  A proof isn’t a proof unless others understand it, and that can’t happen if it isn’t written clearly and concisely.  Also, it’s great when we find the right answer in a math problem, but as most teachers know, it’s usually more important to understand the problem-solving process than to get the right answer.  Good writing skills help narrate and record that process, and make that process available for teachers and peers to understand.

2)  Writing is an indispensible professional skill

I’ve had many different jobs in my life, and being a good writer made me more effective at all of them.  Whether designing technology systems, meeting with clients or consultants, talking through project specifications, or working on a team, being able to document and communicate effectively about the process gave me an edge.   Writing about mathematical ideas and procedures can be hard, but it’s great training for thinking and communicating about the kinds of open-ended problems students will face in the real world.

3)  Writing helps me understand my students better

By regularly interacting with my students through writing, I get to know them in a significantly different way than through their work on exams and homework.  Through various writing activities, I can develop a better sense of what kinds of math problems they like, what kinds of problem-solving techniques they are most comfortable with, and of course, what kinds of ideas are difficult for them to consume.  Getting a different look at how my students think mathematically is incredibly valuable as a teacher, and it can be extremely fun, too!  Giving students the chance to think and write creatively about math almost always produces something unexpectedly wonderful!

This is an adaptation of the first part of a piece I wrote for the Celebration of Teaching and Learning‘s Edblog.  You can read the entire piece here.

Click here to see more in Teaching.

www.MrHonner.com

Statistical Baseball Predictions

April 4, 2012 1 comment

As the 2012 Major League Baseball season gets under way, it’s a good time to check in on the predictions of Bruce Bukiet, mathematics professor at the New Jersey Institute of Technology.

http://m.njit.edu/~bukiet/baseball/baseball.html

Using the performance data from all of the expected players, Bukiet applies a mathematical model to predict the final win-loss standings for every team in the league.  Last year, Bukiet’s model correctly identified six of the eight playoff teams.

Unlike most predictors (my statistics friends would probably prefer I use the term projectors), Bukiet does not seem shy about comparing his past predictions to the actual results.

An interesting mathematical question would be “How can we measure how accurate these predictions really are?”

Click here to see more in Sports.

www.MrHonner.com

Celebration of Teaching and Learning: In the Classroom

March 16, 2012 Leave a comment

I will be running an “In the Classroom” workshop at the 2012 Celebration of Teaching and Learning.  The conference is organized by New York and New Jersey public television stations, and hosts over 10,000 educators from around the world.

My workshop, “That’s a Good Question!” will focus on inspiring and structuring writing in math class.  It will run on Saturday from 2:30 -3:45 pm.

http://thirteencelebration.org/blog/bios/presented-by-math-for-america-5/2979/

I am honored to be presenting at this conference, and proud to be doing so as a representative of Math for America.

Enjoy the Celebration!

Click here to see more in Teaching.

www.MrHonner.com

Underwater Optimal Paths

March 13, 2012 Leave a comment

This is an amazing application of geodesics and vector functions:  finding the shortest underwater path.

http://web.mit.edu/newsoffice/2012/underwater-swarms-robots-0308.html

Robotic crafts that sweep the ocean depths in order to map the sea floor, root out pollution, or search for sunken treasure frequently need to answer the question “What is the best way to get from point A to point B?”

Finding the best path could mean many different things:  shortest in distance, shortest in time, shortest in energy used.  And it can be a tough problem even under the best of circumstances, much less when strong and variable ocean currents  are concerned!

But this team of mathematicians, engineers, and ocean scientists at MIT have done it.  Not only have they come up with a good algorithm for finding optimal paths for single crafts, but their methods also solve the problem for formations of crafts!

Another astonishing application of mathematics.

Click here to see more in Application.

www.MrHonner.com

2012: Happy New Number!

January 1, 2012 5 comments

Welcome 2012!  It will be hard to measure up to the numerous numerical nuances of 2011, but the number 2012 does possess some interesting properties.

The prime factorization of 2012 is noteworthy:

Not only does 2012 have only two distinct prime factors, but the prime factor 503 is rather large.  In fact, 2012 is an unusual number, in that its largest prime factor is greater than its square root.

Also, since 2012 has exactly three prime factors, it is considered triprime (or 3-semiprime).

We might not enjoy as many special numerical days this year (like palindrome days or permutation days), but I do look forward to writing 2012 for the next 365 days!

Click here to see more in Numbers.

www.MrHonner.com

Follow

Get every new post delivered to your Inbox.

Join 65 other followers