Posts tagged ‘construction’

Failing and Sailing

Having read the blog post from Meolscop High School: Shuffling Sums, about First Attempt In Learning and Second Attempt In Learning, and then meeting the lovely @missfilson at mathsconf15 and hearing more about her department’s work on growth mindset, I was inspired to give it a go with students at my school.

The first introduction was with a year 7 group who had been constructing triangles using ASA. I gave them the following problem asking whether students would construct identical triangles if they were gien only angles.

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Some students were thinking about it straight away and were happy to write down their opinions, but there was a significant amount of students who were reluctant to write anything down because they didn’t know the right answer. It was important to spend time explaining to the students that I was interested in their thoughts and not whether ther answer was right or wrong. At this point I also said that they may want to write a sentence or try constructions to help them come to an answer. For this first attempt, I wrote individual hints in their books to give the students support towards their second attempt. I also wanted to help students feel ok with not getting the right answer the first time, and to share with each other their “FAILs” and hints.

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I also tried this with a year 9 group working through ratio and proportion. Students were gven the miles/km conversion lines and asked to complete any missing values they could. Again, students found it difficult to attempt anything to begin with as they wanted to know the right way to calculate the amounts, but after some encouragement, most students made their first attempt.

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Looking through students first attempts, they’d all had a go at a valid method, so with support would be able to continue along their line of thinking. This time, instead of giving individual hints, I grouped the feedback into the three methods they’d attempted:

1. Putting values against each step on the double number line

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2. Recognising where the miles value had doubled, so doing the same to the km

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3. Finding the relationship from miles to km

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I reviewed these methods with them as a whole class, and gave them the option of continuing with the method they started with, or changing to a different method. Some results are below (the final student being keen to make corrections corrected her first attempt before rewriting onto the second!)

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From this work, it is evident to me that students find it difficult to grasp the mindset of attempting something without knowing if they are “doing it right”. This won’t change overnight, but the failing and sailing is another step towards developing growth mindset within my maths classroom.

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Maths Foldables

Something I happened across when searching for a resource was a maths foldable. As I delved deeper, I discovered they’re all the craze in America, along with interactive notebooks. I quite liked the idea of actually making something to provide notes on a topic rather than just writing in the exercise book. My thinking was that these would be particularly useful for younger pupils and lower group pupils, but this week I’ve used one for Yr 11, and they’ve used it really well.

Constructions Foldable

6. Geometry Construction Book Foldable (Print double sided, along long edge).

Yr 11 have been learning the constructions and having found this foldable from ispeakmath and tweaked it, my yr 11s have used it to draw their example construction and then refer back to it when working on the different types of constructions. It worked well with the mathopenref.com site, which enables a slideshow of the constructions to loop round.

Other foldables I’ve attempted so far are the multiplication grid, BIDMAS, transformations, divisibility and rounding.  For the lower groups, having a template seems to have been successful so far, and just having something a bit different in their books as a point of reference for the topics is very useful.

Mult Grid

 

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1. BIDMAS Foldable

IMG_2084 RRTE Foldable

IMG_2083 5. Divisibility foldable

IMG_2082 5. Rounding inc sig figs

Just wanted to add at the end, that making these quick reference tools follows investigation and discussion; they’re not just a write and do tool!