On Instructional Technology

I have taught in a variety of physical settings, from old-school classrooms with desks bolted to the floor to modern environments that synthesize collaborative space with individual work stations.  In these various spaces I’ve successfully integrated all kinds of technology into teaching and learning:  smartboards, projectors, clickers, laptops, sensors, calculators, and the like.

As far as I’m concerned, sometimes all a class needs is one good problem written on the board, but overall I consider myself to be a technology-positive teacher.   I like to try to new things and I do my best to use what’s available.

But without question, this is the single most valuable piece of instructional technology I’ve encountered.

Desks 1

I started teaching in a classroom full of these desks several years ago, and I’d hate to have to teach without them.  They are light, easy to move around, and extremely flexible when it comes to grouping.

It’s so easy to transition from pairs to fours

Desks 2

that students do it without prompting.  When the situation calls for more collaboration, they simply rearrange themselves.  If they want to merge into another group, they do it.

I love the wealth of tools that are available to math teachers now–Geogebra, Desmos, Wolfram Alpha, Sage, and others–but if I had to choose just one thing to have in my classroom, these desks would be it.

Online Analysis Course

Here is a fully formed Real Analysis course freely offered online:

http://www.webskate101.com/webnotes/home.htmld/home.html

The course includes a sequence of 60 classes with notes, a fully hyper-linked Analysis textbook, and a set of homework assignments.

This resource comes from John Lindsay Orr, a mathematician at the University of Nebraska.

It seems as though this WebNotes platform might be available for other teachers to create their own online courses.

Free Video Lectures

claimtoken-50b044cf884cc

This is a great resource:  thousands of free video lectures on a variety of topics from CosmoLearning.

http://www.cosmolearning.com/

There are over a thousand videos on mathematics, including full courses in Single-Variable Calculus, Vector Calculus, Differential Equations, Trigonometry, Statistics, and the History of Mathematics.

There are also standalone videos on a wide variety of topics like Topology, Probability, and Algebra.

In addition to Mathematics, there are thousands of other videos ranging from Anthropology to Veterinary Medicine!

This is Not a Trig Function

I spend a lot of time looking at New York State Math Regents Exams.  In addition to the critical analysis of the exams I undertake here, we typically grade several thousand exams at the end of each year at my school.

When grading so many exams, it’s not uncommon to feel disoriented and unsettled looking at the same problems over and over again.  However, there was something particularly unsettling about this question.

This trigonometric function just appeared to be too round to me.  Perhaps my senses were just dulled after hours of grading.

Thankfully, we have Geogebra to settle such mathematical disputes.

I was right!  It is too round.  Thanks again, Geogebra, for enabling my mathematical compulsions.

Related Posts

 

Mathblogging.org Profile

Mathblogging.org is running a series of profiles of math bloggers called Mathematical Instruments, and I am happy to be their latest subject.  You can learn a little bit more about me and my blogging history here:

http://mathblogging.wordpress.com/2012/10/20/mr-honner/

Mathblogging.org has played a significant role in my development as a math blogger, so I am quite proud to be a part of this series.

Around the time I started putting together my website, Mathblogging.org came into existence.  Mathblogging instantly connected me to dozens (and ultimately, hundreds) of other math bloggers from the worlds of academia, industry, and education.  It was a place for me to see what different people were writing about and where the conversations were happening.  I felt an immediate sense of community, which made my own blogging seem more relevant.

And I was always excited and proud to make Mathblogging’s Weekly Picks.  It gave me a sense that people were actually reading, and enjoying, what I was publishing.  That positive feedback encouraged me to continue writing about math, taking mathematical photographs, and reflecting about what I could share with the greater math and education community.

So happy birthday to Mathblogging.org!  Thank you for connecting me to so many fascinating and inspiring people, and for helping me find my place in the math blogging community.

Follow

Get every new post delivered to your Inbox

Join other followers: