Showing posts with label maths. Show all posts
Showing posts with label maths. Show all posts

Monday, September 7, 2009

Two Weeks Until Break

We have two weeks until we break for our two week long spring vacation. This means that the students are pretty tired, the teachers are pretty tired and we're slogging our way through to the end. On the other hand, my students and I are doing some exciting things, so we're tired but happy.

Some of the things we've been doing:
  • Solar system in your pocket. This was an amazing way to really understand how BIG it is out there. The kids took these home and showed their parents and generally had a great time showing off their understanding :)
  • Reader's Workshop. This week is the first week they need to write a letter to me about a book they've read, so we'll be going through that this week.
  • Poem in your Pocket is this Friday, so we need to write and read some more poetry!
What do you do in the lead up to vacations? How do you keep the 'get me to the holidays now' feeling to calm?

Monday, August 31, 2009

Barbie Bungee: A Maths Investigation


Last week we completed one of my favourite maths investigations. Basically, we tied a string of rubber bands around a Barbie Doll's feet and threw her out of a really tall window . . .

In reality, it's a lot more sophisticated. Barbie Bungee is an investigation which covers a number of mathematical skills and strategies, but with my Year 5s and 6s really served to teach them that a) patterns can be graphed and b) predictions can be made from these graphs.

To complete this investigation the class was broken into four groups (I have 4 Barbie dolls), given a Barbie Doll each and a whole pile of rubber bands which were the same size. We then broke the investigation into steps which were completed over a few days.

Step One: Students learned about the investigation. They practiced tying the rubber bands (one looped around another then pulled through), thought about how they were going to take measurements (grabbing 30cm rulers, 1m rulers and tape measures) and practiced throwing Barbie from various places (important to get this need out of their system) We also talked about the goal - to throw Barbie from the sound box in our school hall, getting her as close to the ground as possible without touching . . .

Step Two: Taking our initial measurements. Students staked out the best spots and dropped Barbie with one rubber band, two rubber bands, three, four and five rubber bands (and so on). They were required to complete three tests at each stage and then find an average (for accuracy) and they had to record their information in a table. This took one to two days. The best thing I saw during this was the use of different measuring methods (sticky taping two measuring tapes together) and creative placed to drop Barbie (out the classroom window).

Step Three: Graphing the results: Students used their results to make a graph (number of rubber bands against distance fallen). They then used this graph with it's almost straight line to predict how many rubber bands they would need.

Step Four: Test Day. We took the students and an audience to the hall and each group had three goes at tossing Barbie from the sound box. The measurements (how close to the ground) were averaged and the closest to the ground won. All in all, very entertaining and a fabulous time. We did a small write up afterwards - what steps did we take, what maths was involved, but nothing too much.

A great investigation.

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Monday, August 24, 2009

Summer in Winter (and other stuff)


So, it's supposed to be winter here in Australia. Unfortunately, today's temperature is supposed to reach 33 degrees Celsius. Classrooms in my part of Queensland don't have air conditioning, and they're rarely well ventilated, so I'm afraid today might be a little uncomfortable.

Luckily, we're doing heaps of fun stuff, which makes it easier. In maths at the moment we're Bungee jumping Barbies. This is basically an exercise to show the children that they can graph algebra patterns, and that they can use these to make predictions. Then it's about throwing Barbie from something tall.

We also begin our astronomy Unit today in which the children will finish up by making a model of a community for Mars. Lots of science in this one, but today we're beginning by listening to famous 'space related' music and talking about what we know - should be a blast.

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Picture from http://www.public-domain-photos.com

Tuesday, July 14, 2009

A good return

So, back to school today. I spent some time on the holidays rearranging my classroom, so it was cool to watch the kids reactions when they came in the door. General consensus is that they love the extra space, and the library is definately easier to use.

Overall, it was a great return to the classroom. Quite a few students mentioned that the day just flew by, and they weren't kidding. There were lots of outside lessons - phys ed, Chinese, religious ed- today, but the other lessons worked well too.

For maths, we're beginning a bit of investigating maths related to our bodies. Today we were revising measurement and changing millimetres into centimetres and metres (thank goodness we don't have to work with inches and feet in Australia :) ). The students worked in pairs to measure their height, arm length, leg length, hand span and foot length in centimetres. After they recorded them in a table, they then worked out the millimetres and metres. Then they used this to make their own word problems. What impressed me was the way some of the students worked to create multi-step problems without any prompting.

Then this afternoon we began our Reader's Workshop. The students like the ideas, but I need to work a little on the read and respond part - maybe some more guidance through small group lessons and one on one conferences. The small group I worked with today were marvellous with The Arrival, they were really beginning to tell the story. I tried to use questioning which would allow them to unravel the story, rather than telling them 'you're right' or 'you're wrong'. At first they thought the man was just going to work, then on a business trip and then they realised he was going away for much longer. Then the group worked on some questions, wrote a little, and used complex instructions to make paper cranes (I had different instructions when I learned, and I wasn't as impressed with some of these. I'll keep looking for better ones).

Before we knew it, 3pm was around and it was time to go home. Good day though.

Sunday, May 31, 2009

Things I'm doing well - Teaching Maths


At the moment, I'm taking a bit of time to reflect on where I want to improve and what I'm doing well. You can find the master list of reflections here.

Teaching Maths

This last week I took 15 children to the district maths competition. The maths competition is rather awesome - around 150 6th and 7th graders working in teams of five to solve very difficult maths problems. In this competition, brains are everything, and cheers ring out when students solve a particularly difficult problem.

I love it. I love the enthusiasm and I love the way the children approach the problems. I even love giving up my lunch times to help them train.

The rather sad thing is that I really love maths. It's always about solving the problem - about unravelling the different strands to find a secure answer which can be absolutely proven. And I love teaching this to my class.

One of the things I do well in maths has been in increasing the confidence of students who think they are terrible at maths and that there's no way they'll ever get better. These students tend to be girls, who are very good writers, and somewhere along the way have 'found out' that being good at writing means you can't be good at maths. I firmly believe that everyone can do maths - we just need to find the right way to teach it or approach it. And if that means we're outside making angles with students, or turning mathematical concepts into comic strip - then that's how we do maths.

We've had some interesting investigations this year, but our best one was the 'school tour' maths investigation where we went and did maths based on the school library. One group was out measuring different parts of the library, another were using compasses to work out distances, another were estimating the number of books in the library, while yet another group mapped out the library. Everyone was engaged and doing maths and it was exciting.

Another success this year has been the introduction of novel problems. Basically, you put up a problem the children have not seen or been 'taught' before. The students try to work it out and are graded on the amount of help they need to eventually solve it. This allows us to see the students' thinking and reasoning. At first, some of the students would give me the worst death stares when I'd put one of those problems in front of them. After some time (and some sticker bribes) those students are now completing these problems first. Their confidence is growing and so it their enthusiasm and their skill. I love it!

Where to now? Well more investigations. More different ways of learning. I keep looking wherever I go online and finding more ways of making math exciting. We're a class happy to be doing maths!


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Thursday, May 14, 2009

NAPLAN Day 3: Mathematics and overall view

Today I supervised my Year 5s and next doors Year 7s in the numeracy NAPLAN tests. The Year 5s have 1, no calculator allowed; while the Year 7s have 2 - one calculator, one not. I went into these tests quietly confident and came out wrecked.

I personally completed the Year 5 test, realising as I went through the kids exams that I'd made three mistakes, which would put me at 37/40. It was a really, ridiculously hard exam, with more than one question better suited to grade 7s or 8s. I shook my head when I saw it, because I just don't know what I could have done to prepare the kids more. I have been worrying that I'm pushing them too hard - most are learning at Year 6 level, some edging into Year 7 work. But they were no where near ready to really attack this. From a quick look, the best marks were just 33/40

It's very discouraging to come out of a test knowing that you've worked so hard, and the students have worked so hard, and still you can't achieve as high as you want to.

NAPLAN 2009

These were much harder tests than last years. The spelling words were harder to read, let alone spell. The punctuation and grammar had a new type of question they didn't have last year. The writing task was very abstract and the maths test was plain difficult to the point of ridiculous. The tests were clearly aimed far above the level of the children they were trying to test.

So what does this achieve? Lots of stressed, anxious and dejected children? Feelings of superiority from those who write the test? A culture of fear for teachers who know that threats were made about performing better in these tests than last years?

The last 'achievement' worries me the most - I know our district wanted to tie funding to our ability to raise all levels by 10%. I also know that when the results come in, they won't be great, and we'll be in the same position - if not worse - next year. So what can we do? It's something to keep thinking about.

Saturday, May 9, 2009

Preparing for NAPLAN: The NAPLAN Game Show

NAPLAN (Australia's national testing for Year 3,5,7 and 9) begins on Tuesday, so I took advantage of a clear day yesterday to set up a game show in preparation. The class was broken into 2 teams, with equal numbers of 5s and 6s since the 6s had sport later in the afternoon. All activities corresponded with a section of the NAPLAN test.

Round One: Writing Ideas in 5 minutes. Each group was given the same writing stimulus and had to come up with as many story ideas as possible in 5 minutes. Points given for most ideas and most original ideas.

Round Two: Three parts to one story. There were 12 students in each team, so four of them wrote story beginnings, four wrote story middles and four wrote story endings. Then they had to put them together to make four different stories. They were only allowed 5 minutes to talk to each other before they started. Points for best story and funniest story.

Round Three: Spelling Relay. The NAPLAN spelling test requires students to find the mispelt word in a sentence and fix it. The relay had the students lining up in their teams running forward to one of the two easles and fixing the mispelt word, and running back to the next student. Points for fastest and for each correct word.

Round Four: Kung Fu Puncuation Kung-Fu Off: Students correct a poorly punctuated grammatically incorrect sentence by 'acting out' the sentence using Kung Fu Punctuation (must explain that some time). Points for correct corrections and for style.

Round Five: Team Maths Competition: Students work in a team to complete an old practice test. Points for fastest and for each correct problem.

Round Six: Comprehension Quiz Show: Students read a comprehension text and participate in a quiz show style event.


It was a fabulous day which really relaxed some of the students about taking this test next week and was just, down right fun.