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AIBU?

Share your dilemmas and get honest opinions from other Mumsnetters.

to think that both answers are equally right

36 replies

lorisparkle · 26/02/2016 19:23

The question is....

Complete the sequence

2.5, 3.50, 4.500, ........., 6.5, ....... 8.500, ..........

DS1 and his friend who are both in the top group for maths put this as their answer...

2.5, 3.50, 4.500, 5.50 , 6.5, 7.50, 8.500, 9.50

They were told the answer is wrong - I personally think that it is right and definitely as right as the answer 'in the book'

Which was 5.5000, 7.50 and 9.5000

DS1 got quite upset in class because he would not accept his answer is wrong. So what does everyone think and what would you do?

OP posts:
cornflakegirl · 26/02/2016 19:49

My DS is Y6 and very mathsy. He has been taught at times by teachers who didn't make mathematical connections as quickly as him. If they're good teachers, I generally don't interfere. I would agree with him that the teacher was wrong, say that not everyone's brain works like his, and remind him not to embarrass teachers by correcting them publicly. But my DS is very confident in his abilities (ie thinks he knows everything). If your DS has had his confidence knocked, then a quiet word might be required.

Lweji · 26/02/2016 19:52

Unfortunately and as DS had a somewhat similar teacher, I'd let it go and just reinforce to ds that he wasn't wrong, but that sometimes teachers are wrong and don't care to admit it or are not as bright as him.

Valuable life lesson. Wink

cornflakegirl · 26/02/2016 19:55

But also - how did that pattern allow a discussion of place value? 3.5 is the same number as 3.500 - not sure what you learn from that? A look at the minimum and maximum numbers that could round to 3.5, for example, would seem much more useful...

FunkyPeacock · 26/02/2016 20:01

I agree with you OP, the pattern could be either the answer your DS gave or the official answer

peggyundercrackers · 26/02/2016 20:07

I can see the pattern your ds put as an answer but I think the book answer is the more obvious pattern.

maydancer · 26/02/2016 20:36

Both are correct- a badly written question

Mumoftwoyoungkids · 26/02/2016 20:43

Cambridge maths degree here. Both right but personally I prefer your son's answer. Crap question.

Whowouldfardelsbear · 26/02/2016 21:39

I did the question in my head before scrolling down to the end of your post, and I came up with the same answer as your son.

The teacher should be able to explain why that answer is "incorrect".

Intheprocess · 26/02/2016 21:41

The "correct" answer is:
1, 2, 3, 4
1, 2, 3, 4

Your son's answer is:
1, 2, 3, 2
1, 2, 3, 2

As you can see, there's no obvious reason why the last number should be a 2 as in your son's pattern of four digits. The 4 in the "correct" answer is self-explanatory.

Well, that's the simple answer. The complicated answer is this:

A sequence is a progression where the next figure comes from something being done to (an operation being performed on) the previous number.

The given "correct" answer is a sequence of four numbers repeated twice where each step is simply the previous number + 1.

Your son's answer is a repeating pattern, but it's not obvious why the pattern repeats the way it does. If it was to be a proper sequence, you're looking either at a long description:

A number smaller than 3 with 1 added to it, unless the number was preceded by a 1, in which case it's the number minus 1. Or the number before the number being changed was a 3, in which case its also the number minus 1.

Or an incomplete triangle wave:

1, 2, 3, 2, 1, 2, 3, 2, (1)

And, whilst it's intuitively elegant, a triangle wave has a considerably more complicated mathematical description than a simple progression: en.wikipedia.org/wiki/Triangle_wave

So, your son is technically right, but at this stage I would agree that he should be marked as wrong. Coming up with ideas is a valuable talent, however, what is even more valuable is knowing which ideas are likely to be correct in the context of the question. When studying decimal places, a Maths book is not expecting an understanding of triangle waves. Where the teacher went wrong is not giving a good reason why the answer in the book is the called the "correct" answer. The text book is simply saying "I'm going to assume the kids go with the obvious sequence".

What I would do is ask DS which of the two possible answers is better and ask him to explain why he thinks it's better. You could introduce him to Occam's Razor:

"Other things being equal, simpler explanations are generally better than more complex ones."

Then you could ask him why, given that there's only space for one answer, the 1, 2, 3, 4 one was chosen. Then ask him what could have been done to make the question better. Finally, ask him what he hoped to achieve by sticking with his answer and think about how he could have dealt with the situation in a way that reflected better on himself. Sometimes politics dictate that it's better to go with the flow, sometimes it's worth showing that you can think outside the box. Sometimes it's best to show you're able to think outside the box but respectfully go with the majority decision anyway! There's also a debate to be had about respecting authority vs standing up for what you believe is right.

Lucky you, a cornucopia of learning opportunities!

Ameliablue · 26/02/2016 22:07

I would have gone with your sons answer to add it makes more sense to consider the numbers on both sides of the missing one.
I would only consider it incorrect if the question want in isolation and there were other questions in a set with the same pattern rules.

Lweji · 26/02/2016 22:14

Intheprocess

If it only went 5, 50, 500, it would make sense for the sequence to be 5000.
The problem is that it goes 5, 50, 500, x, 5, 50, 500.
And naturally I'd expect for there be a transition between 500 and 5 as between 5 and 500, instead of jumping from 5000 to 5 again. Why not progress to 50000?

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