Cheating

October 9th, 2007

“Students cheat. There is no way of avoiding this fact. Students hand in homework and project assignments copied from others, or written by their parents, or even purchased. Students copy from one another on examinations, and they try to discover advance information about examinations. When cheating involves deceit, trickery, fraud, or swindle it must be prohibited. But the proper solution to the problem is not through prohibition and punishment: it is through examination of the sources. Why do even our best students feel compelled either to cheat, or to help other students, or to watch while others cheat, without taking action. I believe that the root cause of cheating in our school systems lies with inappropriate curricula and examinations. Change the practices and the cheating should naturally diminish.”Don Norman, In defence of cheating

Actually, my students don’t cheat. They are determined to understand Maths this time round (I work with return to learn students) and it is personal. Many want to understand so they can help their children to understand. The swing of the pendulum in the UK back to paper and pencil calculation methods and ‘knowing your tables’ is really important in this respect.

I take Norman’s point about assessment systems, and what I would like is a flexible assessment vehicle – say a series of online assessments based around Level 2 Maths with slowly increasing syllabus content and levels of sophistication in the questions so that students could request a test as they felt they understood the material. Such a system would enable me to diagnose and certify those symptoms that tell me that a student understands Maths.

What I have with the new Foundation GCSE Maths isn’t that. The Access Maths route is isn’t such a good solution now compared with some years ago as ‘GCSE Equivalence’ seems to be interpreted in an incredibly narrow way by many stakeholders. The ‘equivalence’ is tracked on content lists without regard to the difference in assessment designs (tracked assessment criteria as opposed to percentage score on the Gold Standard itself).

Back to the central point – even if a student decided they wanted to cheat, I would spot it in seconds with two or three verbal questions based on written answers. The style of doing figure work on paper is so individual – and so obvious when stuff is copied in – as to make faking it impossible.

“Consider this: in many ways, the behavior we call cheating in schools is exactly the behavior we desire in the real world. Think about it. What behavior do we call cheating in the school system? Asking others for help, copying answers, copying papers.”Don Norman, In defence of cheating

My students do all of this when we are in the learning phase, but in the assessment phase they accept the need for individual work. These people are mature adults and know what is appropriate behaviour! ‘Copying’ is often peer tutoring with examples. Help comes with a price tag – a dialogue about the methods we use.

Signs and symbols

October 5th, 2007

fish and chip sign

Not a bad one as signs go…

Data and shadow - phone as capture device

Some signs are accidental

Excel 97 arithmetic

September 27th, 2007

“The flaw presents itself when multiplying two numbers whose product equals 65,535. Fire up your favorite calculator and multiply 850 by 77.1. Through the magic of zeros and ones, you’ll quickly get an answer of 65,535. Those using the Excel 2007, however, will be told the total is 100,000. The program similarly fails when multiplying 11 other sets of numbers, including 5.1*12850, 10.2*6425 and 20.4*3212.5, according to this blog post from Microsoft manager David Gainer.” Dan Goodin, The Register

You can’t make this stuff up. There is a fix on the way, and hats off to David Gainer for being honest and making the problem public. Spreadsheets are the people’s programming environment, rightly or wrongly, even though the ‘interface’ emphasises values rather than the formulas used to reach the values. Perhaps we need a simple cross-platform numerical scratch pad that has a reliable calculation engine? Something like Octave?

Bodmas quiz

September 25th, 2007

I started Maths teaching for level 2 students with an exercise based on the sequence of operations remembered using the made up word BODMAS. I haven’t used this BODMAS two part starter for some years, but there have been syllabus changes recently, so I’ve put it back in again.

Activity 2 of the BODMAS lesson always generates interesting feedback (I use a ‘record of work’ form each week to capture what students are prepared to say about the lessons, and as a private way for them to outline anything they are stuck with) but it is designed to take people out of their comfort zone.

I use simple whole number based examples, like 3 + 4×2 = 11 not 14. I explain this is a convention, like driving on the left hand side of the road. We have to have conventions, but there is no necessity to the choice of convention that people make.

Curzon Street

September 23rd, 2007

Fanlight window in Curzon Street Station in Birmingham

The Curzon Street railway station in Birmingham has been used a few times recently as a venue for photographic exhibitions. Birmingham UK has a bad record with Victorian buildings, so I hope they find a use for this one soon.

Curzon Street Station staircase Birmingham UK

Some Maths content will reach these pages soon!

Curzon Street Station Birmingham - room during the Station photographic exhibition

Leaf fall

September 21st, 2007

Sycamore seed in chain link fence

Mobile phone camera on macro, cropped about 30% and scaled to 400px wide. The phone camera has a plastic lens and limited focus range but I have it with me all the time…

Maths tables

September 16th, 2007

grab from mathematical tables produced from an MS Excel spreadsheet

I use these when we need to do the blood stain angle activity before students have had time to buy a scientific calculator. I find the process of finding the sine value in the table and reading off the angle helps build a ‘picture’ of the sine function as well.

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