Maths … it doesn’t have to be every odd question in Ex 2.3

This year I’m teaching an integrated curriculum for Year 7. This means Year 7s are learning English, Maths, Science, Geography and History through cross-KLA concepts.

Last week we had a lesson on scaled drawings and maps, which covered both ratios in Maths and map reading in Geography. The traditional (and perhaps easier) way is for me to show them how to work with ratios and different types of scales is to do a few examples on the board and then the students do a bunch of maths and geography questions. I then tell them whether they’re right or wrong.

But I decided to do it differently. I wanted my students to show their understanding in their own way, not through a set of questions that someone has set for them. It is also my school’s goal to allow students to negotiate their learning, and to prepare them for this I wanted to let them make negotiations on small parts of the task.

The “lesson” lasted for 5 periods. In the first 2 hours we discussed ratios, scales and how they were applied in real life (in maps, scaled models, toys, etc). Then we made “desk maps”, which were scaled drawings of our desks in the classrooms using scales such as 1 cm = 10 cm, with various objects (also drawn to scale) on the desk. This was followed by measuring scaled distances of a street map showing the local area.

The class then broke into teams. Their task was to make an explanation on how to draw a scaled diagram to someone who doesn’t know how to draw scaled diagrams. They had to plan according to these 3 questions:

1. What is my goal for this task?

2. What will my explanation for the scaled diagram be?

3. How will I present my explanation? Why have I chosen to present it in this way?

The planning process involved students spread across the whole classroom. Some students stayed at their regular desks. Others moved to the lab benches for more space. Others used the whiteboard on the other side of the room. It is more chaotic then the regular classroom, but it’s good chaos 🙂

Most students chose to do a video (for some reason my Year 7s love to make videos; I think it’s because they want to use the iPads). Their reason was because it’s easier to understand how to do maths when you can see and hear the explanation. Other groups chose to make posters. Their reasoning was because the posters can be pinned up in the classroom and students can refer to them if they needed to.

The groups then started to make their products. This involved students spreading out even more. Students who made videos went out into the playground or the storeroom next to the classroom to make their recordings. Students who made posters stayed in the classroom.

The last hour of the lesson involved students evaluating their learning process. I emphasised the process of making their product was just as important as the product. Students had to reflect on these questions:

1. What have I learnt this lesson?

2. How do I know I’ve done a good job?

3. Did I know what I had to do during the lesson? If not, how did I find out?

4. Was I able to stay on task? Why or why not?

5. Was I able to complete my task on time? Why or why not?

6. If I did the task again, how will I do an even better job?

I planned for the class to watch the videos and look at the posters after their learning evaluations, but we ran out of time. We’re going to do that next lesson where each group has to come up with a “wow” and “wonder” for each product. The “wow” is something that was done well in the product. The “wonder” is a question raised from the product such as “I wonder if you could show other scales besides 1cm=10cm to show more difficult calculations”. We’ll see how it goes.

Here’s part of one group’s videos.

A new year, a new challenge

It’s now been a week into the 2012 school year. For me, this year is a little different – I am only teaching one class! At my school we are implementing an integrated curriculum for year 7 as a middle years strategy (and it’s actually a proper integrated curriculum; not just me teaching multiple subjects). Year 7s have one teacher for English, Maths, Science, Geography and History, and I’m lucky enough to be one of those teachers.

I see my Year 7s all day Monday and Friday and two hours on Tuesday and Wednesday. This is a huge change from I was used to. I see this as an opportunity to really get to know my students and implement a lot more problem based learning (PBL). There has been many learning activities I want to implement and some I have implemented that are long-term projects and did not work as well as they could have due to the rigid high school timetable. Seeing students for large chunks of time makes PBL a lot easier.

So here’s some of the things I’ve done differently this year:

I have rearranged my classroom

I know this doesn’t sound like a big deal, but I have moved my desks from rows to groups. I wanted the physical space to reflect how my students will learn best. My classroom is actually a science laboratory so it’s double the size of regular classrooms. There is enough space for students to work in groups on the regular tables and move to the practical benches if they need to work independently or in smaller groups away from the rest of the class. I eventually would like my students to choose the space that would allow them to work the best for a particular activity.

classroom layout

 

 

 

 

 

 

I don’t have a front-of-the-classroom

There is no front of the classroom. There are three sides of the room where information are displayed – the interactive whiteboard (IWB), the side wall and a regular whiteboard on the opposite side of the room. The side wall holds learning intentions and success criteria for the lesson and the IWB and the regular whiteboard are used by students.

learning intentions board

I let my students negotiate on their learning

Year 7s came up with 5 class rules. We then used Class Dojo to come up with positive behaviours and negative behaviours that would gain points or lose points respectively. Year 7s devised a reward system where 5 points would gain a merit award and every 15 points they accumulate will allow them to “level up” and choose a new avatar for themselves on ClassDojo.

reward system negotiated by students   class dojo screenshot

Letting students sustain their own learning community

When I first used Edmodo last year, I used it as space to upload files. Lesson resources, worksheets and quizzes were uploaded onto Edmodo. Half way through last year I started using Edmodo as an online space for students to share and collaborate. Students started to share links, samples of work and PrimaryPad was embedded for groups of students work collaboratively. This year I wanted to continue this and extend it further. It’s good to see that when I scan the page of my year 7 Edmodo group, most of the posts are made by students and NOT me.

This year is going to be very different. It’s going to be challenging, but at the same time a really good opportunity to explore learning. I’m really looking forward to further exploring PBL and going further with I’ve been doing with games based learning. I am also leading some new initiatives in my faculty, which I will write a blog post on later. Watch this space. 🙂