<p>Superior Child24- I think youll find that the Harkness system & everything it involve is pretty unique to Exeter.</p>
<p>Im going to try to explain the math system as you asked, but bear with me because its a tough thing to describe. Ill do my best.</p>
<p>Our math textbooks are written by our math faculty and consist almost entirely of word problems. A teacher will typically assign about 8 word problems a night. The next class, the problem #s will be up on the boards (in the Harkness setup, the table is in the middle of the room with black/white boards going all around). Students will put their solutions up as they come in. You are not assigned a specific problem to put up, its just done casually based on whatevers left when you get to class. Sometimes more than one student put up a particular problem. When no one could solve a particular problem, someone just puts up as far as they could get and the class works through it together. As there are usually fewer problems than students, not everyone will put up a problem everyday. After all problems are up, you go through them one by one, with the student who put it up explaining how they solved it. People then ask questions, which anyone answers and the teacher only pipes in if youre stuck or missing something important. </p>
<p>Tests are about once every other week. The teacher writes about 8 problems that you work through in your bluebook. Sometimes there are group or partner tests; in fact, some teachers use only group and partner tests. There are even a couple teachers who wont test at all- they base your grade on participation, etc. </p>
<p>Whats nice about the Harkness math system is that theres no pressure if you couldnt solve a particular problem. Teachers request that you spend 40 minutes on the homework and get as far as you can in that time. They almost never check it, but if they do, they just make sure that you at least attempted every problem-drew a picture etc.- not that you got them all correct. Asking questions of you fellow students instead of the teacher is nice as well, because they tend to think more like you so youll find that they explain things in way thats easier to understand. </p>
<p>The structure of the word problems is unique, because they are designed to introduce you to the logic <em>behind</em> a math concept before they teach you the concept itself. To use a basic math example, you may find a problem that leads you to use the Pythagorean Theorem before you know that thats what youre doing. I know that sounds strange (because Im doing a terrible job explaining it) but youll find it leads to a much deeper understanding of concepts. </p>
<p>That said, some students complain that this style of teaching works better for the lower maths. Once you get into pre calc & calc, things are more formulaic, more black and white and need to just be taught to you. However, I know plenty of students who found that they had a much easier time learning higher maths this way, too. </p>
<p>Because this system of teaching is so different, people tend to either love it or hate it. I loved it, and most people I knew loved it too. It takes away a lot of the pressure that usually surrounds learning math, and makes for a far less competitive classroom environment- you dont move on till everyone understands something, so the students are always helping each other. The kids who complain about it are usually the ones who get frustrated by always having to explain things that came easily to them. Frankly those kids are usually the ones being too lazy to move up to the class level that would be more of a challenge to them (Ive been guilty of that myself-you can pick your own math placement).  </p>
<p>I hope that makes some sense, feel free to ask for specific points of clarification.</p>