Wednesday, 25th October 2006

Quadratic Formula Song!

I found this online and it made me smile!

posted by Andy at 12:43 pm  

Saturday, 23rd July 2005

PGCE Resources

During our PGCE course many people posted Maths resources that they had produced or otherwise gathered during the course.

Between myself and Domonic we have put them altogether including all the ones from early in the year which are no longer available on FirstClass.

The file itself is pretty huge! just over 50MB so will take approximately:
Broadband (512Kb) - 20mins
Dial-up (56Kb) - 3+ hours

I will keep this resources available for as long as I can, but at least for the next 3-4 weeks…

I have now had to remove this file!

posted by Andy at 8:14 pm  

Friday, 1st April 2005

Problems Pages…

I came across this Problem Bank website a few months back but noticed that it has recently moved and also undergone a UI update.

CountOn Project.

The Problem Bank is unsurprisingly a bank of problems! But what makes the site extremely useful is the fact that all the problems have been sorted in Year Groups, Stand (Number, Algebra, SSM and Data Handling), and high/low ability. This means you can easily find an appropriate puzzle for whatever group you are teaching. What makes the site even more useful is the fact that on the new website, all the puzzles are now available as Word Files to download.

Try it out and if you find any really interesting puzzles come back and share them here!

Here is one for starters that I did with my top-set Year 9’s - Circle Crescent

An interesting puzzle, especially because the solution doesn’t involve \pi

posted by Andy at 12:00 pm  

Saturday, 26th March 2005

The Max Box Problem

As part of mt PGCE course I had to create an ICT resource to teach some element of the Maths Curriculum.

I decided to try and tackle the traditional Max Box Problem in which you are presented with a sheet (in this case of paper, but it could be anything) and asked to find the open box with the biggest volume. I had at the time been reading through an issue of MicroMath (20/3 Winter 2004) and came across an interesting article:

The Power of Excel by Chua Boon-Liang and Wu Yingkang

In which the authors tried to present a novel approach to the Maximum area problem for a given length of fencing. Using this as a guide I decided to design a similar approach to tackle to Max Box Problem.

Screen Shot of MaxBox Excel File

I decided as I had gone to the trouble of putting it all together I may as well share the resource with other people who may find it helpful.

So here it is…

Excel File: MaxBox 2020

Essay: MaxBox Essay

To make the algebra a little easier I finally altered the essay to use squares of paper which where 20cm by 20cm.

If you find this useful or have any ideas on how I could improve this then drop me a comment!

posted by Andy at 3:09 pm  

Friday, 25th February 2005

Response to the White Paper on the Tomlinson Report

On Wednesday the 23rd of February the Government published the _White Paper_ repsonse to the *Tomlinson Report* in to changes in 14-19 education.

Details of the response can be found here

From the perspective of a Maths teacher this report is quite disappointing in many (but not all) respects, which we shall look at now:

* strengthen the emphasis on English and maths, in particular by expecting schools to focus systematically on those who arrive from primary school without having reached the expected standard in the Key Stage 2 literacy and numeracy tests, continue to publish national test results and introduce a new on-line test of ICT skills

This means that students who for whatever reason are not achieving in Mathematics and English, rather than being given a chance to succeed (and hence gain confidence)in other areas, will be made to spend more time studying subjects that are not achieving well in…

* we have already reduced the amount of prescription in the Key Stage 4 curriculum, providing more scope for schools to support catch-up in English and maths.

I have similar issues with this statement…

* we are extending the Key Stage 3 Strategy to improve classroom practice, so that it provides support across secondary schools

This one was fairly expected if a little frustrating. Those of you who know me will know that I have serious issues with the KS3 Strategy. Not in its content which in some places is quite good, but more importantly in how it has been administered. What was only ever intended to be advisory, was made virtually compulsory! And the prescriptive nature of the Strategy (which is can be useful for non-specialist maths teachers, or under-confident teachers) has resulted in consistent but uninspiring teaching. The interesting experimental teaching techniques and schemes which were developed during the 80’s and 90’s, which involved students developing concepts themselves through open-ended tasks, have now nearly all gone by the wayside in favour of a much more prescriptive _Three Part-Lessons_ (which again was only ever meant to be a suggestion!! - even if it was “highly recommended” - and you are also reminded that you should “Use your professional judgement to determine the activities, timing and organisation of the beginning, middle and end of the lesson to suit its objectives.”) So now not only are going to have a this prescription thrust upon us at KS3 but now that joy will be extended to KS4… And how will the Government get people on board with the KS4 strategy? The same way they did with KS3, tell schools they can have more money if they do! And no more if they don’t…

* we will ensure that no-one can get a C or better in English and maths without mastering the functional elements. Where a teenager achieves the functional element only, we will recognise that separately.

So this means that potentially good Mathematicians who for whatever reason fail to gain mastery of the _functional elements_ of Mathematics will no longer be able to obtain a grade C, and therefore will not be able to study the subject at a higher level - Which is where the functional elements loose their significance!!

The second important question that needs to be asked is what is _functional mathematics_? Who is going to define what areas of mathematics are functional, and which are not? Is functional mathematics just Mental arithmetic? Is it written methods? Does it include using a calculator? If not why not? When you survey people who perform mathematical tasks in the workplace (which is what this is supposed to be preparing them for) they will nearly always use a calculator. So surely we should be teaching students to use them more effectively not focusing on teaching them how they might try and and calculate the sum in their heads…

I will continue to include further issues when I have more time!

posted by Andy at 11:34 pm  
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