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These modules are prepared by AMSI as part of The Improving Mathematics Education in Schools (TIMES) Project. The modules are organised under the strand titles of the Australian Curriculum. Number and Algebra Measurement and Geometry Statistics and Probability The modules are written for teachers. Each module contains a discussion of a component of the mathematics curriculum from early primary up to the end of Year 10. There are exercises that teachers may wish to undertake – answers are given at the end of the module and often screencasts giving a solution are linked and indicated by an icon.

What would an exceptional middle and high school computer science curriculum include?

This isn't a complete answer, but one thing the very first introductory classes should require is that the students turn off all their electronic computers and actually learn to walk through  algorithms with a computer that exists only on paper. (Or, I suppose, a whiteboard or a simulator.) This exercise would give the students a grounding in what is going on inside the computer as a very low level.My first computer programming class in my Freshman year of high school was completely on paper. Although it was done because the school didn't have much money, it turned out to be very beneficial.Another class I had in high school, that wouldn't normally be lumped into a Computer Science curriculum but has been a boon to my career, was good old Typing 101.

If you followed the CS Unplugged curriculum your students would know more about CS than most CS grads:http://csunplugged.orgIt's a really great intro to basic computer science concepts and very easy for students to understand.  Best of all you don't even need a computer per student if your school doesn't have the budget,

Let’s start with what Khan Academy is. Khan Academy is a collection of video lectures that give demonstrations of mechanical processes. When it comes to this purpose, KA videos are, on the average, pretty good. Sal Khan is the main reason; he is approachable and has a knack for making mechanical processes seem understandable. Of course, his videos are not perfect. He tends to ramble a lot and get sidetracked; he doesn’t use visuals as effectively as he could; he’s often sloppy and sometimes downright wrong with his math; and he sometimes omits topics from his subjects that really need to be there (LU decomposition in linear algebra, for example). But on balance, KA is a great resource for the niche in which it was designed to work: giving demonstrations of mechanical processes.

But let’s also be honest about what Khan Academy is not. Khan Academy is not a substitute for an actual course of study in mathematics. It is not a substitute for a live teacher. And it is not a coherent curriculum of study that engages students at all the cognitive levels at which they need to be engaged. It’s OK that it’s not these things. We don’t walk into a Mexican restaurant and fault it for not serving spaghetti. I don’t fault Khan Academy for not being a complete educational resource, because it wasn’t designed for that purpose. Again, Khan Academy is a great resource for the niche in which it was designed to work. But when you try to extend it out of that niche — as Bill Gates and others would very much like to do — all kinds of things go wrong.

When we say that someone has “learned” a subject, we typically mean that they have shown evidence of mastery not only of basic cognitive processes like factual recall and working mechanical exercises but also higher-level tasks like applying concepts to new problems and judging between two equivalent concepts. A student learning calculus, for instance, needs to demonstrate that s/he can do things like take derivatives of polynomials and use the Chain Rule. But if this is all they can demonstrate, then it’s stretching it to say that the student has “learned calculus”, because calculus is a lot more than just executing mechanical processes correctly and quickly. To say that it is not — that knowledge of calculus consists in the ability to perform algorithmic processes quickly and accurately — is to adopt an impoverished definition of the subject that renders a great intellectual pursuit into a collection of party tricks.