Quelltext der Seite Diskussion:Heron Triangles and Elliptic Curves

11/11/11 Critique
A.B.
'''A tale of two triangles'''
-what is the title? 'A tale of two triangles' or 'Heron Triangles and Elliptic Curves'?
-I think the starting question is significantly compelling for a maths teacher, even though I don't think it would cause a non-maths person to keep reading.
-Explanation of the two triangles, Heron's formula are clear (and the link for Heron's is good as I know not every teacher would be familiar with the formula).

'''The space of triangles'''
-I like the invitation to think of other restrictions. It's a question I ask students a lot.
-Would it be possible to get an applet for the triangle with the inscribed circle? I can see the benefit of letting readers play with the corners and see how the three angles in the inscribed circle change when the side of the triangle change.
-I think proving equation 1 is very satisfying and I'm glad you don't just lay it out.

'''A curve of triangles with constant area and perimeter'''
-Will you be putting in any text to accompany Chris' geogebra widget?

'''Finding points on the curve'''
-Could you put in a link to the secant method? You describe it a bit here, but I'm going to end up googling it and a link like the ones you provided above are handy.

'''The mathematical moral'''
-Why do you say math starts in high school? And does math end at research, or continue with research?
-Some links for a few of the mentioned applications would be nice. I'm not familiar with some of the ones mentioned so they don't resonate much for me as a 'moral'.

'''Last thoughts'''
-I think this problem is very accessibly, which is almost a given since it's been presented and played with in several spaces. I very much enjoyed playing with it at PCMI this summer and I think other teachers that read through it (and are willing to work through some of the highlights themselves)