I’ve been working on ways to visualize the structure of the sequence of propositions in Euclid’s Elements. This is my latest effort. I find that it helps as you work through the propositions to see how they fit into the big picture. The shaded propositions are those that are terminal in this book, that is, […]

# Thinking the Unthinkable

Brett Victor is one of those guys who is always leading the edge of design, and is almost always worth listening to if you get a chance. His recent talk at the MIT Media Lab really resonated with me. On the surface, his work is not directly related to education, because he is focused on […]

# I’m not a “math person...

A great article on the problems with a purely genetic view of intelligence and undervaluing of hard work here. When we see someone with chiseled abs, we do not just assume that they have good genetics, we recognize that they’ve put in a lot of hard work. Similarly, those who are successful at academics have put […]

# Bill Watterson’s Commencement S...

An inspirational speech from the cartoonist who drew Calvin and Hobbes, you should read it all here. A choice quote: It’s surprising how hard we’ll work when the work is done just for ourselves. And with all due respect to John Stuart Mill, maybe utilitarianism is overrated. If I’ve learned one thing from being a […]

# Problems with the Khan Academy Approa...

Great blog post here that I think hits home: {Rational Mathematics Education} The point that Michael is making comes back to the fact that math education in the K-12 environment is focused on all of the wrong things. Khan Academy does succeed in taking the same wrong-headed approach and make it asynchronous, which adds value. […]

# Thales of Miletus

# First Course Up!

We are happy to announce the first part of our first custom course at Education Reimagined. Classical Geometry – An Introduction to Mathematical Thinking

# Expert Thinking

An interesting article: The Mental Machinery of the Chess Master Much of what seems like magic or superhuman ability to us can be explained by focused effort and normal thought processes. Think about the ability to read. We rapidly scan text with thousands of different combinations and effortlessly convert the sequences of letters into coherent thoughts. […]

# Writing Inspiration

I have found that if I follow a pre-set plan in a book for what and when my children should write, my children seem to lose interest in writing at all. I made the mistake of starting our school year with a new language lessons book, and it does just that. While I love the […]

# Euclid Book 1, Proposition 3

As we continue on… Given two unequal straight lines, to cut off from the greater a straight line equal to the less. Let AB, C be the two given unequal straight lines, and let AB be the greater of them. Thus it is required to cut off from AB the greater a straight line equal […]