What Would Plato Think of a Metric Space?

On one side, Platonism concerns the existence of an abstract world of mathematical objects which is independent of our concrete world. On the other side, some think that mathematics is grounded in the human world and is influenced by culture, time, place, and some fortuitous circumstances. Are those two views contradictory in the sense that accepting one necessarily forces rejecting the other? Or do they complement each other in the sense that one agrees and possibly clarifies the other?

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Math Linkspam

For this post, I thought I would share some math-related links I’ve enjoyed lately. The fun part of writing this was that compiling the links made me think about how many different areas math really impacts—you can find it in fields as diverse as biology, data analysis, and media studies. Anyway, here are the links: Continue reading

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The Summer Camp for Academically Talented Middle School Students

2013_scats_frontpageI just finished teaching a class at The Summer Camp for Academically Talented Middle School Students (SCATS). SCATS is a summer program offered by The Center for Gifted Studies at Western Kentucky University for students in grades 6-8.

I taught a class called Magically Miraculous Math. During the course of two weeks, we covered many different topics. On the first day, I asked students what they wanted to learn about. Their answers ranged from Pascal’s triangle to Schrödinger’s Cat and the Menger sponge. We were able to cover much of these ideas. To see a complete list of topics we covered, click here.

One of my favorite activities that we did was create a Menger sponge. This activity introduced us to fractals and allowed us to explore the concepts of limits, infinity, zero, etc. Students had a lot of fun creating the boxes.

Have you done anything like this? What topics or activities did you include?

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MPE2013 Daily Blog

MPE2013Thank you very much for Tyler’s recent post,  reminding us of this year is the Mathematics of Planet Earth(MPE 2013)  year. There’s an official site of this special year. Among all the exciting activities, lectures, articles posted on this site, MPE 2013 Daily Blog is asking for contributions. It’s easy to participate: Think of an interesting MPE-related topic, consider how it relates to mathematics, and describe it in 200-500 words. Adding a picture or link to a video will attract even more readers. Blog entries can be submitted via e-mail to blog@mpe2013.org.

Inspired by MPE 2013 Daily Blog, I’m suggesting AMS Grad Blog to have a theme about MPE 2013. The requirements are almost same with MPE 2013 Daily Blog. Contributions are very welcome!

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Mathematics of Planet Earth

http://www.earthcalculus.com/wp-content/uploads/2013/06/fig1ppt.gif

http://www.earthcalculus.com/wp-content/uploads/2013/06/fig1ppt.gif

Kaisa Taipale informed me that it is the year of the mathematics of planet earth. Kaisa has created a website (http://www.earthcalculus.com) with various resources for calculus regarding earth. Some of these include

  • Aquifers and Rate of Change
  • Drugs in Our Waterways
  • Lynx
  • Group Work and a Power Function for Atmospheric Pressure

Some of the resources include sample worksheets, teaching philosophy, etc. Kaisa welcomes suggestions from graduate students (or anyone interested in the topic).

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