Category: College Algebra

Collection of Math Games

To view the collections of Math Games, hover over the Games Menu, and go to one of the dropdown categories.   Possibly Related Posts: Bringing the Real World to Your Math Class Every Day Taking the Algebra Out of College Algebra Group Exploration in Math Learning at Scale Slides from ICTCM AMATYC Keynote Notes: Challenge and...

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NYT Opinionator Series about Math

For a few months now, the NYT Opinionator Blog has been hosting a series of pieces that do a phenomenally good job of explaining mathematics in layman’s terms. The latest article is about Calculus (with a promise of more to come): Change We Can Believe In is written by Steven Strogatz, an Applied Mathematician at Cornell University. There are several other articles in this series, and if you haven’t been reading them, you really should go check them out.  Assign them.  Discuss them in your classes. From Fish to Infinity (Jan. 31, 2010) Rock Groups (Feb. 7, 2010) The Enemy of My Enemy (Feb. 14, 2010) Division and Its Discontents (Feb. 21, 2010) The Joy of X (Feb. 28, 2010) Finding Your Roots (March 7, 2010) Square Dancing (March 14, 2010) Think Globally (March 21, 2010) Power Tools (March 28, 2010) Take It to the Limit (April 4, 2010) Given the discussions we’ve been having about teaching Series and Series approximations lately on Facebook, Twitter, and LinkedIn, I wonder if he’d consider writing an article explaining “Why Series?” to students. Possibly Related Posts: Bringing the Real World to Your Math Class Every Day Taking the Algebra Out of College Algebra Group Exploration in Math Learning at Scale Slides from ICTCM Elaborations for Creative Thinking in...

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Logarithm Graphs in Wolfram Alpha

At the Wolfram Alpha Workshop at ICTCM, there was universal disappointment about the fact that you cannot get a graph of a logarithm that is only over the real numbers.  We tried everything we could think of to remove the complex part of the graph. Personally, I have tried and tried and tried and tried to explain the problem with this in the feedback window for Wolfram Alpha, but been universally unsuccessful.   Every time I suggest a change, I am told that the “After review, our internal development group believes the plots for input “log(x)” are correct.” … yes, I know that … that doesn’t mean it’s the answer that most people will be looking for. I find it ironic that “inverse of e^x” produces the graph we’d like to see, and even gives log(x) as an equivalent. But then ask for a graph of  log(x) or ln(x) and the graph will always include the solution over the complex numbers. What’s worse is that W|A inconsistently decides when to use reals only and when to use both complex and real numbers.  For example, the output for y=ln(x), y=x includes the complex numbered plot, while the output for y=ln(x), y=2x-3 includes only the Reals.  What!?!  Actually, I have some idea why this is … it seems that in some cases, if the extra graph intersects the real part of...

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Math Videos at the Sputnik Observatory

The Sputnik Observatory, is dedicated to providing a venue for viewing and sharing ideas and philosophies of contemporary culture.  Jonathan Harris, who worked on the mindblowing sociological website We Feel Fine, is the site director and blog creator for Sputnik Observatory.  Sputnik also has a host of codirectors with diverse backgrounds in journalism, architecture, and ballet.  Members of Sputnik have spent the last ten years interviewing scientists, philosophers, academics, and the like.  They have over 200 videos of conversations on themes such as coherence, interspecies communication, and urban metabolism. “Sputnik Observatory is a New York not-for-profit educational organization dedicated to the study of contemporary culture. We fulfill this mission by documenting, archiving, and disseminating ideas that are shaping modern thought by interviewing leading thinkers in the arts, sciences and technology from around the world. Our philosophy is that ideas are NOT selfish, ideas are NOT viruses. Ideas survive because they fit in with the rest of life. Our position is that ideas are energy, and should interconnect and re-connect continuously because by linking ideas together we learn, and new ideas emerge.” Here are some of the short interviews that involve mathematics (and all really COOL mathematics).  All of these can be embedded into course shells. Will Wright – Possibility Space Ian Stewart – Alien Mathematics Ian Stewart – Pattern-Seeking Minds Lord Martin Rees – Simple Recipe Trevor Paglen –...

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Intriguing Inverses

Finally, I’ve made a sequel to Funky Function Notation. Here is Intriguing Inverses. Feel free to use it in online courses or use in the classroom. Enjoy.   Possibly Related Posts: Bringing the Real World to Your Math Class Every Day Taking the Algebra Out of College Algebra Group Exploration in Math Learning at Scale Slides from ICTCM Elaborations for Creative Thinking in...

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