Creating a new subject

This one’s going to be mostly about ICT, but I promise I do tie it into maths at a few points. In my defence, the tagline to the blog is “maths and stuff“.

I created a new ICT subject this year. I guess technically I created it couple of years ago, but that was really just a name and a short description. First semester was the first time I had to actually plan and deliver it.

The subject was “ICT: Web development”, a semester long elective subject for Year 9 & 10. There’s been a gap in our school’s ICT offerings for a while. We have compulsory ICT up to Year 8, and I teach VCE IT*. Which is weird: we keep getting kids choosing IT in Year 11 without choosing the ICT electives in the two years prior. The existing ICT subjects were poorly defined and didn’t link that well into VCE (and from what I gather, involved playing “Zoo Tycoon” a lot in the past). So the P-8 ICT teacher and I discussed how we can improve the subjects and came up with two new ones, to alternate each year: “ICT: Web Development” and “ICT: Software”.

So how did it go? Well…

I saw some great successes, as well as a lot of things I need to work on for next time.

One benefit was the fact that this was an elective, so of course everyone was intrinsically motivated in it from the start, right? OK, not really. But even if I hadn’t stated it as such at the start of the year, I think deep down that was an assumption I was making. That’s not to say there weren’t highly motivated students; some were very motivated, keen to build their own creative websites and learn what they could about how the internet works. But in some of the others I think I mistook enthusiasm for playing around with computers for enthusiasm for the subject matter.

As an aside, I think that’s an easy mistake to make in any subject, especially maths. This has been stated a million times before, but I’ll say it again: we need to ensure that technology is used in a way that supports learning, not because “it will be fun”.

I basically split the semester in two parts – first term was learning basic web development concepts such as HTML, CSS and a little JavaScript, as well as introducing the fun sounding ‘Problem-solving Methodology’. (This is a compulsory part of VCE IT, so if any of these students pick up IT in Year 11, they’ll have a head start on understanding a lot of theory. It basically describes four steps in producing IT solutions: Analysis, Design, Development and Evaluation.)

The second term was focussed on a major project of the students’ own choice. Some of them worked on projects for real clients (usually businesses or organisations run by their parents), and some produced “fan sites” about things they were interested in.

I gave them a choice of working in groups or individually. I don’t know what I’ll do in the future. I was hoping that the groups would find ways to divide up the workload, and some managed to do this well. Unfortunately the groups found it difficult to communicate decisions clearly, and often forgot to share all their work with each other. One group successfully used a shared folder on Dropbox to collaborate – they also shared the folder with me so I could see their work and help them quickly if they needed it. Then with another group, a student spent a whole lesson looking for an email account they remembered the password to so they could sign up to Dropbox.

I’m not against kids working in groups, but I’m not sure it works as well for projects as large as this. Some showed it can work, but I think others didn’t produce projects as impressive as they would have by themselves.

Next time I’ll need to spend more time encouraging kids to experiment with their work. Working with code can be a scary prospect when it’s new, and students reacted differently to it. Some dove in head first, willing to try different things and see what the results were. The quality of the feedback computers provide to students in other subjects is somewhat dubious, but they are fantastic at providing feedback when computers themselves are the subject.

Some students would try different methods in their code, and when their website didn’t work as they expected, they tried something else. When they ran into problems they couldn’t fix, they could ask me specific questions about how to deal with it.

But other students weren’t willing to experiment, and would only write code when they new exactly the way they were supposed to do it. When these students asked for help, they often phrased their question as “My website doesn’t work.” As a result of their unwillingness to take risks, their understanding developed a lot slower than that of the risk-takers.

So here’s a question I have that’s just as relevant in the mathematics classroom: how do we get students to take risks? How do we un-train students from thinking they need to know exactly what to do before they can make an attempt?

(I was going to say that’s relevant to all subjects, but you probably want to hold back on the risks in, say, Chemistry pracs.)

Overall, I still don’t know how to judge my first effort at the subject. Did I do what I set out to do? Yes: we’ve now established links in the ICT curriculum all the way from Prep to VCE, my students produced some very impressive projects and even if some students weren’t as enthused as I’d hoped, they should have a better understanding of what VCE IT involves than students in the past. Am I perfectly happy with how it went? No: there are lots of areas I can see to improve.

That said, the day I ever say I’m perfectly happy with the way I teach a subject is the day I should resign.

* For some reason we refer to the subject as “ICT” up to Year 10, but it’s “IT” in VCE. I don’t know why. I always thought the “C” was redundant anyway.

 

Differentiation Posters

I’ve never been that good at posters. In my defence (and take this for the lame excuse it totally is), my school doesn’t give teachers their own room. My year nine and ten classes are in a room that doesn’t have any spare space on the walls, my IT Applications class has three different rooms, and my Maths Methods class…

…has a giant wall with not much on it.

I’ve said to the students many times “we really should put something on that wall”, but then haven’t done anything about it. Until today! I finally got around to making some posters with some rules from differentiation.

EDIT: And there’s a mistake. The derivative of cos is -sin, not sin. Gah! The downloads at the bottom should be fixed, I’ll fix the image when I get time.

Poster 1

Poster 2

I know these are black and white and boring. The plan, once I get them printed, is to attack them with coloured markers. In particular, the diagram on the first page needs a lot of work before it makes sense. It’s supposed to show the gradient of the line approaching the derivative as the points move closer together.

So, that’s one set of posters done, but the room needs a lot more. If you want to ignore my complete lack of artistic sense and make use of them, feel free!

Downloads:

 

Algebra snap

Only a week left of school holidays. I’d better get started on the huge list of things I mean to do over the break!

I spent some time at school today working on an idea I had last week. My next topic with year nine (once we properly finish off Pythagoras) will be Expanding and Factorising. I plan to include some work on simplifying expressions, but I’ve noticed that some students struggle with recoginising ‘like’ terms. Some get mixed up between terms like x and x2 terms, and some don’t realise the differences between terms at all and try to do things like 4x + 5y = 9xy. I wanted an activity that let students practise recognising when terms are like or not.

So I came up with “Algebra Snap”:

algebra snap

It’s basically what it sounds like – “Snap”, but with matching like terms instead of numbers. (Everyone knows how to play Snap, don’t they? EDIT: Sorry, I shouldn’t make assumptions like that! I’ve tried to explain it below.) I haven’t had a chance to test it out yet, but I’ll post here again once I’ve used it in class. The cards are simply laminated coloured paper, with different colours so I don’t get the sets mixed up.

An extension to this activity could be to play the game the same way, except that students have to state the sum of the cards they’re snapping before they get it.

Even though I’ve printed “Algebra Snap” on the back of the cards, I hope there will be chances to reuse them in other activities too. One idea I had was something around factorising – draw two cards, and have students decide whether they can be factorised or not (and have them do the factorisation). I wish I’d planned the coefficients a bit better – if I’d used 6 more often instead of 5 and 7, then there would be more opportunities to factorise. I guess that’s what permanent markers are for.

If you have any other ideas for these cards, or any improvements, let me know!

Downloads (both files are the same thing, but last page of the Word document looks weird unless you fix up the font):

EDIT: How to play Snap:

  • Divide the cards between each player, who holds them face down.
  • Players take turns to reveal the top card and place it in a stack in front of them.
  • If at any point two stacks have matching cards (in this case, cards with like terms), the first player to shout “Snap!” wins both stacks and places them at the bottom of their hand. (Don’t shout if you don’t want to disturb the rest of the school. But it’s more fun if you shout.)
  • The winner is the player to get all the cards.

There are rules for dealing with wrong and tied calls, but there seem to be many different versions around – google it to find one you like. The version I played growing up involved everyone putting their cards into one stack, which would be won by yelling “Snap!” and slapping your hand onto the stack if the last two cards match. It used to get a little violent, so it probably isn’t a good way to play with rowdy 15 year olds.

 

Random grab bag

Here’s a few things I’ve been meaning to share, but I can’t really justify a post for each of them. So here we go, in no particular order:

My little sister has a job!

After finishing training to become a primary teacher last year, my sister just got her first teaching job! I travelled with her on Wednesday to go visit her new school. I didn’t see much of it because I went shopping while she had important stuff to do, but she was positive about it! She has a lot to do before she starts in a couple of weeks, including finding somewhere to live and setting up her classroom (which is completely empty at the moment).

She’s nervous about it, but I’m really excited for her. Teaching comes to her much more naturally than me, and she’s always known she would be a primary teacher, since she was in primary school herself (as oppossed to me who decided halfway through second year of uni). Also, she’s going to teach maths really well, partly because she’s good at maths herself, and partly because I’m not really going to give her a choice.

Maths shopping

As I mentioned above, I went shopping on Wednesday, and it was an opportunity to do something I call a “maths shop”. That is, I wander through shops looking at stuff, seeing if anything inspires any teaching ideas. I didn’t really really get any specific ideas this time, but I did buy some stuff under the vague notion that something might be useful eventually:

  • A couple of buckets. (Because really, when do you ever have too many buckets?)
  • A whole bunch of coloured electrical tape.
  • A roll of EFTPOS machine paper. (I have no idea why, but a really long strip of paper seems like something that might be useful for… something.)
  • A bunch of stationery supplies – my town’s only newsagency closed down a while back, so it’s often hard to get stuff. (I get a little crazy when I get the chance to buy stationery. It’s probably a good thing I don’t live anywhere near an Officeworks.)

I did also buy some non-teaching related stuff, but who really cares about that?

About page updated

So if you visited the about page for this blog before today, you would’ve only found three short bullet points (and the last one was just a stupid comment about how I couldn’t be bothered writing anything else). But now, it might actually be worth reading!

I’m slightly more important according to Google!

OK, I know I blog so I can improve as a teacher, not to become famous. But it would at least be a little nice if my blog could at least be found by googling it?

Well, if you google the prime factorisation of me now, this blog has reached the fourth page! It was on the seventh, so progress!

Honestly, I’ve always felt a little hard done by from Google. If you search for my name, you’ll find someone a lot more famous than me in the top spot (and his name isn’t even spelt the same as mine). At least Google doesn’t insist my name is spelt wrong like it used to.

I’m starting to ramble, so I’d better leave it here.

 

Blogging? Absolutely.

This blog is one month old! Woo hoo! I know that might not seem like much, but I have a bad habit of thinking of great ideas then not really sticking to them. This is something I really want to keep doing, because I can already see it making me a better teacher.

Case in point: I had an idea for an activity on the absolute value function this morning while still in bed. Problem is, on my usual timeline, I cover it in February. So under normal circumstances, I’d think “That’s a good idea, I should remember it.” Then I’d proceed to go back to sleep and immediately forget it (it is school holidays now, after all).

But this time, I actually got out of bed and starting testing the activity. Because now my thoughts and ideas aren’t just dumped in the back of my brain – I can use this blog as a way to process those ideas into something useful.

So I’ve created this thing which I’m dubbing the “Absolutamatron”. (I know that’s a horrible name. Please let me know if you have a better one.) I’ve often described the graph of the absolute value function as “flipping all the negative y-values to positive y-values”, but for some reason it had never occured to me to physically flip the graph. So I made this thing:

Original function

abs of original function

It doesn’t really matter what the function is, but this one is supposed to be f(x) = (x+3)(x+1)(x-2).

So I’ve never used this in class myself (as I said, I only thought of it this morning), but I think learning value for the students would be in making it themselves. I deliberately created the absolute function graph by tracing over the original graph, which is what I would have students do too. So this is how to do it:

You will need:

  • Three identical blank Cartesian planes (which you can download here).
  • Scissors to cut out the planes.
  • Markers that will “bleed” through the paper (I used Sharpies). Use colour, because you don’t want to be boring!
  • A pencil.
  • A glue stick.

Step 1: Using a marker, sketch your first graph onto one of the planes. The function can be anything, but it needs both positive and negative values (polynomials work well).

Step 1

Step 2: Cover the graph with another plane, being careful to line up the axes. Trace over the positive values only using a pencil.

Step 2

Step 3: Flip the original graph so the bottom is at the top. Trace over the negative values (which are now positive).

Step 3

Step 4: Remove the original and draw over the pencil markings using a marker.

Step 4

Step 5: Fold each graph in half along the x-axis. Glue the top half of the original to the top half of the blank graph, and glue the bottom half of absolute graph to the bottom half of the blank graph. (Alternatively, you could just glue each half directly into a notebook.)

Step 5

Step 6: Glue the middle bits together. Now you have your very own Absolutamatron!

So it’s really a simple little idea, but it’s an idea that I can guarantee I would have forgotten about by next year. I’ll put a warning on this in case it wasn’t clear: NOT CLASSROOM TESTED. Yet. But if anyone does give it a go, I’d love to know how it went 🙂

(And seriously, if you think of a better name, please tell me that too!)