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You seem to be saying that teachers should just accept a substandard syllabus and if good students want to learn pure maths they should give up on Australia and go to the US or Europe. Some schools won't accept this. We already have several schools teaching the IB for example. As for uni's...

It's a case of the uni's, governments and the BOS having to get used to being publicly exposed for the amateurs that they are - and a case of teachers ignoring them and doing it properly instead. Many schools advertise themselves as striving for excellence. Can they do this with a substandard...

It has previously been suggested to the BOS that they bring back the 2-year Level 1 course, and that they should include Number Theory if they did that. It seems they won't be doing that. Instead their writing brief seems to be obsessed with the utility of maths and pays scant regard to the...

If you ask mathematicians what they do, you always get the same answer; they think. They are trying to solve difficult and novel problems. They never think about ordinary problems. - M. Evgrafov, Literaturnaya Gazeta, no. 49 (1979) 12. So the BOS should not only keep Harder 3 Unit and...

Here's an alternative way to do last year's 4 unit question on cubics. I bet you thought the answer was x³-20x+24. But that's too boring. Of course, a better question would be that if two distinct points on E: y²=x³-5x+3 are A(x₁, y₁)...

Here's Wildberger's youtube on it. He uses rational trig. <object width="425" height="355"><param name="movie" value="http://www.youtube.com/v/hooQuHLS-kk&rel=1"></param><param name="wmode" value="transparent"></param><embed src="http://www.youtube.com/v/hooQuHLS-kk&rel=1"...

Have you tried integrating it?

I made a more thorough textbook list <a href="http://users.tpg.com.au/nanahcub/texts.pdf">here</a>. Have I missed any? You can do past papers for practice: http://www.angelfire.com/ab7/fourunit http://au.geocities.com/ext2papers http://www.geocities.com/fourunitmaths

Patel wrote 2 books. One is an Excel book, the other is a textbook (both of which are into their 2nd editions). Here are the links: http://www.pascalpress.com.au/product-p/9781875312269.htm http://www.pascalpress.com.au/product-p/9781740202602.htm You can get Terry Lee's at...

Here's a more recent video by Darmon (2006): http://www.uni-math.gwdg.de/aufzeichnungen/SummerSchool/SummerSchool_20060728-1600_Darmon/avi/SummerSchool_20060728-1600_Darmon_xvid.avi (545 Mb)

Here are some more recent articles: <a href="http://4unitmaths.com/ajami.pdf">Ajami's 2003 article</a> <a href="http://4unitmaths.com/ajami-supp.pdf">Supplementary material for Ajami</a> <a href="http://4unitmaths.com/herges.pdf">Herges' 2006 article</a> And for something much older (see...

Analogous to cutting a paper Möbius strip is to break the double bonds with ozone. This picture is from a 1982 article in C&EN: http://4unitmaths.com/cen1982.pdf Note however that this must be done under carefully controlled conditions. First it has to be dissolved in dichloromethane and...

Has your maths teacher taught you about <a href="http://mathworld.wolfram.com/MoebiusStrip.html">Möbius Strips</a> yet? They are fun to make with paper and cut them up. But they are even more fun to make at the molecular level. Here is a recipe for making molecular Möbius strips...

There's an easy way and a hard way to learn about the proof of Fermat's Last Theorem. THE EASY WAY The easy way is just to watch the videos and read popular accounts. For many years, msri have had a video online Google video has recently added the uktv video to the internet which is better...

If you want to watch it, DVDs of seasons 1-4 are available as are downloads of season 5 episodes 1-23 and season 6 episodes 1-16. The downloads are available shortly after they are shown in America on CBS. After the end of the WGA strike, season 4 resumed on April 4, 2008 and a new season 5...

There was a rumour going around that season 4 would be cut to 12 episodes only. This has since been increased to 18.

<a href="http://www.cbs.com/primetime/numb3rs">Numb3rs</a> is a drama on CBS about an FBI agent who recruits his mathematical-genius brother to help the Bureau solve a wide range of challenging crimes in Los Angeles. There was a WGA strike on from Nov. 5, 2007 - Feb. 12, 2008 and Numb3rs...

Are you referring to e=&sum;1/n!? I agree that this can be done with Taylors series. However, it can also be done without it - again within 2 unit. I prefer however not to dwell on this point in the 2 unit proof of the irrationality of e. I also prefer not to make excuses for mediocrity ..........

Fighting against philistines in the teaching profession often makes maths interesting. Philistine teachers make excuses for not doing interesting maths - which goes something like this: - it's not in the syllabus or - you'll have to wait till uni to do it For example for many...

No. Before that, he will also be giving a plenary lecture at the ANZIAM conference at the Carrington Hotel in Katoomba. http://www.maths.usyd.edu.au/ANZIAM2008/index.php