Probability & statistics

I have running battle with my lower tens getting them started but found that a game of craypots generally helped. I've bought some foam cubes from Clark rubber (2 for $3.50) 125cm x 125cm x 125cm.

I've labelled the sides storm, storm, last, fine, fine, fine in red marker so that the students can see what the weather is and decide how to play their craypots to maximise the chance of profit.

It's been great to see students find the maximum possible value, the quickest way to get out of the game (eg. the riskiest route), see their mental mathematics in action and their ability to follow a process. It's a game that's easy to set up (it needs a worksheet and a teacher with dice) and one where the class highscore can be kept to be aimed for. Here's a copy of the online version. When I remember I'll bring home my worksheet for upload.

A fair few other dice games can be found here.

It's also a bit of fun to throw the foam cubes around the room near students not paying attention.

Milestones

For the first time we reached 500 hits for the month and already have over 500 unique visitors this quarter - well up on last quarter and we still have a month to go. I attribute all this success to the rabbit banner and his joke.

Most popular topics this month were:
CAS Calculators (by far)
EBA4
Performance pay

Yay!

Diagnostics

Sometimes teaching year 10's you get so caught up in your lesson you miss the bloody obvious.

Today we were looking at distance from origin, Perth to Meekatharra, Perth to Newman and so forth using trip counters and odometers. My students were finding it hard to find the distance between two locations (I forget the real distances so please excuse my made up ones)..

They could understand that the 259km and the 1600km indicated distances from Perth but could not understand how to determine the distance between Meekatharra and Newman. So I tried something similar but with smaller numbers.

When asked the distance between Mary's house and the shops, this time students were able to say 1km. I asked them how they did that and they gave me the answer 9+1=10. I asked if they could think of another way. A sea of blank looks from the new kids in the class. I think to myself OMG. No wonder these kids couldn't do the previous problem. I showed them that subtraction could work and they were able to complete the exercise finding distances between various destinations. By the end it was obvious that they could learn the pattern for solving the problems but did not have an understanding of the underlying maths - thus had forgotten the method by the next problem.

So I went a bit further and used my favourite diagnostic tool. I wrote the following on their page.

10
99
109
119
1109
1229

And asked them to add one to each number. Thankfully only one student couldn't do this. Then I write 10526 and 52679 at the end of the list and moved to each asking them to say the numbers quietly to me. This was not as successful. This was the trigger to split the class (again) and start these kids on a different programme of work.

The integration of low ability or underschooled students into the mainstream and removal of dedicated remedial classes has meant that many students are falling through the cracks. It is no wonder that some of these kids can be disruptive, disheartened and are having confidence issues. Students that cannot read numbers above 100, can't identify simple operations or understand place value have little chance in mainstream classes. It's enough to make you physically upset and reminds me why I originally intended teaching year 7 rather than senior secondary. The impact of intervention is greater at an earlier age than now.

I have many of these kids next year and have identified areas of focus, we're designing entry tests for new students and aim to improve numeracy with low performing students. It's frustrating the amount of time that it takes to find these issues and detect the underlying factors behind avoidant behaviour. Time will only tell how much success can be made of it.

Building a better future for our kids

Getting kids to see opportunity rather than negativity is a key objective for 2009. As times get more difficult and unemployment rises, it is ever so important for kids to use their education for a new start in life and bring hope not only into their lives but into their families.

There are inspirations in every year group, the child with a terminal illness that strives for A's, the child that works every spare second to send money home to parents in Africa, the student that couldn't read two years before and now is able to contribute to mainstream classes.

Once an opportunity is presented to a student we get limited opportunities to demonstrate that effort leads to success. Any success with some kids needs to be celebrated, even staged to ensure that they get on the right road. If they are going to fail at a task (and they must learn how to cope with failure) they need to be supported, prepared and lead by the ear to see the achievement gained in failure. The learning of resilience is important beyond any skill.

We need to believe that they can do things. They have enough doubt in themselves, it does not need to be reinforced. Push them hard, see what they can do - it will always surprise you. Work to drive them to a better place - a good work ethic is an an achievement in itself.

The little darlings need to learn that boundaries are ok and are there to protect them. The world may not be fair or cheering them on, but generally it's not against them. All of us old folk fight for a better future for them. Learning the rules is a precursor to learning how to interact with others and the community - simply modelling polite language can save them from being instantly judged the minute they open their mouths.

Value systems now that religion is no longer impressed on kids are lacking. Without a value system kids lack a knowledge of right and wrong. In a world where everything moves so fast and knowledge is valued over experience, it is hard for them to see that there is wisdom in older folks. This is of course every generations fate - but with the rapid pace of the information age it is being exacerbated. They don't believe in our values (what would we know!) and lack a better system themselves.

Parents, rather than argue at the end of a hard day at work, just give in to an argument - kids do not understand no as an answer being used to the last word. At least until they do something that has a consequence that cannot be overlooked. When this happens, the gentle leading of them to their errors is a hard task that requires patience that I need to develop further.

We need to protect students that have good qualities from students that are developing them. Once an academic student is identified they need to be driven forward. Students developing good qualities need to have champions that mentor them through and help them through difficult times.