Saturday, May 21, 2011

Do you edmodo?

Looking for a fantastic way to extend your physical classroom into an online space? You can't go past edmodo.  If you haven't heard of it yet, you could say edmodo is like Facebook for the classroom (that's how the students see it), but that would be scratching the surface of what you can do with edmodo.  Like Facebook, edmodo is a free online social networking application that young people love to use, however unlike Facebook, it has a strong privacy and security model, designed specifically for the classroom.

I've been using edmodo for nearly half a year now and can't say enough good things about it. So much so, a few colleagues and I felt it was time to set up the Edmodo Teacher Hub wikispace to share our experiences and teaching ideas. It's still early days, but already some teachers have shared amazing stories - my favorite is this story about using edmodo to support a student voice program. Coming from a computer systems background, I'm particularly impressed how the edmodo designers extended physical classroom management practices to implement secure virtual classrooms - something I wrote about in the article Is edmodo safe for schools?

Do you have an edmodo story to share or an idea to share? All contributions welcome!

Disclaimer: The edmodo teacher hub wiki is not officially related to edmodo in any way. Views expressed are those of individual teacher contributors and not necessarily those of their employers.


* A special thank you to Bianca Hewes, our resident Australian edmodo evangelist for encouraging and helping set up the wikispace (and designing the logo!)

Saturday, May 7, 2011

Algebra with style, or, how to get the royal wedding into algebra class


This week we've been laughing way too much in Year 8 algebra class - and I put part of the blame on the royal wedding.  But let's backtrack a bit ....

While preparing to teach my first ever full unit of Algebra to junior high school students, I was amazed at the number of ideas and skills a student has to master in the first few weeks of algebra. For those of us who "just get it", it really is an eye opener to list each individual idea and skill. I counted twelve logical steps, seven starting definitions and six little 'gotchas'. Would you believe some textbooks combine most of these ideas in the first one or two sections of their algebra chapter? No wonder so many students struggle with algebra! 

So what do I mean by the 'gotchas'? Take for example whether we should write 1x or just x.  Is it wrong to write 1x? Of course not - it's just not the way we usually write it.  Maths teachers often use the word convention at this stage - and discuss why we have conventions. But as I was writing up the list of the algebra conventions, I found myself thinking that really it's about style. If you write 1x or 0x, you are sort of lacking a certain style - but you're not wrong. I teach at a girls school, so style really is something we all want to have! I found that by talking about style, my students understood the idea immediately: it's a matter of taste and "class" - not that you are wrong. My students, like most I suspect, are terrified of being "wrong" in maths class - so talking about "style" helps work around that. We have similar style discussions as to whether we should write 5xy or 5yx, and if it really matters if we write 5x +2y  or 2y + 5x.

And now, courtesy of Princess Beatrice, I have a wonderful image to use with my class about what it means to have good style.

For the record - here is the full set of "Algebra Style" elements we cover in our Year 8 class. The numbers in the circles relate to the step number in the teaching sequence. As a class we build up a table of "Algebra Style" elements and then take a moment to consider why we have these conventions.
Click on the image for a larger view.


Speaking of the royal wedding - don't miss this wonderful post at MathsPig about the forces at work in the wedding dress train. I'm intending on building a short sequence in my algebra class next week using this idea - see if the students can model the problem.

Tuesday, April 26, 2011

If y = 3, then 6y = 63 ... or is it?

Calvin & Hobbes is copyright
Bill Watterson and UPS


Here is a little worksheet I made for students to explore common algebra misconceptions. I'm planning to use it as part of a small-group activity, as a way to elicit discussion about algebra concepts.





https://drive.google.com/file/d/0ByVkChxwrC4DSUl3OGV3Q210S0U/view?usp=sharing

Can you see why someone might think (Calvin in the last panel) that

n + n = 28

even though they have been given no value for n ?

I sourced the algebra misconceptions from

MacGregor, M., & Stacey, K. (1993). What is x? The Australian Mathematics Teacher, 49(4), 28-30.

and Calvin just forced his way onto the page (apologies to Bill Watterson!).


Friday, April 22, 2011

The Funny Side of the Crying Game

I've had an amazing response from colleagues, mentors and friends to the last post about my shameful crying episode. Most surprising was to discover just how common these feelings are for new teachers - and just how many of my peers are out there having their own cry :-) A good friend told me they've even been crying in the car on the way home, and a mentor who I hold in the highest esteem told me they nearly resigned in their first term because they thought they were a terrible teacher.  It seems it comes with the territory - and you can sort of see the funny side if you imagine all those secret crying corners. So, if you're reading this because you've had a cry in the classroom (hopefully not in front of the students!) - take heart - it's part of the process! And don't be afraid to share the story with trusted mentors and peers. Chances are they've been having a secret cry too.


So what advice did I receive? Here's a summary and some further thoughts:

A certain level of control is necessary before you can do the exciting stuff
This response from friend and fellow new teacher Beth Bevan echoed the experience of many of my peers:
One thing I have learnt though is that you need to build the strong relationship with a challenging class before you can break out the really exciting stuff. If you don't have that certain level of "control" you won't be able to reign them back in when it's time to discuss the learning, or time to work quietly on a task. It doesn't mean you need to be the scary disciplinarian, you just have your find your way of telling the kids they're off track and bringing them back to focus. And it certainly doesn't mean your wonderful teaching strategies go out the window, it might mean you introduce things slowly, remembering that they need to get used to you and your style being a different way of learning too and this will take them out of their comfort zone. By the end of the year, your most challenging class could well be your favourite.
See students as individuals - not 'that class'
Some very helpful and practical advice I was given was to stop thinking about my challenging class as "that class" and instead view it as composed of unique individuals - each of them with their own story, their own personality, needs and responses. When you do that, it becomes so much easier to forgive their individual transgressions - you're not facing a whole class, with a mob personality that's attacking you (even if it feels that way sometimes!).

Who do you think you are?
In the nicest possible way: Don't kid yourself that you've got something special that dedicated teachers who came before you haven't tried. It makes good movies, but it ain't true. Accept your limitations and the reality of the current context.  I'm reminded of a Buddhist teaching called "To Care and Not to Care" - or to use the lingo, getting the right balance between Compassion and Equanimity. We need to have compassion with our students, but also not be so caught up in emotion we can no longer help. Some things can't be changed just by us wanting them to change - we need equanimity to accept things as they are, while still keeping our heart open so that when and if students are ready for us, we are still there for them.

"I hate you" - but it's not personal
In her wonderful book "Relating to Adolescents: Educators in a Teenage World", Susan Porter repeatedly warns teachers not to take students' admiration and interest seriously: "they don't care about you". Teenagers are interested in themselves - and their interest in you is only based in how it relates to them. I'm coming to realise this caution also applies when students say they dislike you, or are rude to you - it's the same: "they don't really care about you" - the emotion isn't that personal - you the teacher just don't figure that much in their personal lives. So next period, they could be all different again.

And how is this class going now? I have changed my teaching strategies to use more 'working quietly' activities (book work, worksheets) and once the class is settled, I walk around the class to students and teach individually or in pairs.  We're not at the stage yet (me included) that we can have sustained whole class discussion about mathematics. I also offer more differentiation options, allowing students to choose the level of difficulty they want to start at. The wonderful thing is now that the shouting (theirs) and the crying (mine) has stopped, I'm really taking pleasure in the variety and humour of the class.

Wednesday, April 20, 2011

The Crying Game

Sometimes the adventure gets a little rough (with apologies to MGM).

I wrote this piece a month ago as a private reflection - at the time I was hesitant to share it more widely because it is a little emotional and I didn't want to take the chance my students would see it while I was feeling this way. However the response from the people I showed it to at the time suggests it might be helpful to other new teachers - even if just to realise how normal this sort of reaction is. And I think it's important for balance to show some of the low points as well as the high points of first term of teaching.

One week in March 2011
A shocker of a week - an absolute shocker of a week - the low point: finding myself crying uncontrollably - fortunately alone in my classroom at recess with the door shut. It was the end of a dreadful period with my "challenging class" - their rejection of my attempts to engage with them and the aggressive rudeness of some students finally got to me. I was angry and upset - upset with them, and then upset with myself that I was so upset - what sort of crappy teacher was I? Is this what I gave up a career in IT for? What I studied so hard for two years without pay for? I'm kind of laughing now - at the irrationality and intensity of it ... but it really did feel that way. I just bawled and bawled like a baby for a five minutes. I couldn't go into the faculty staff room - I didn't want anyone to see how low I had gone - or see my red eyes.

The day before, I had another dent in my confidence when the school executive decided not to support an initiative I thought I had their support for. Looking back I can see I didn't take the smart approach of getting genuinely solid support for the idea before it went to the meeting - I had forgotten my skills from the corporate world how to play that game. The combined effect of what felt like a rejection from both the school and the students with weeks' of sleep deprivation meant that by Wednesday night I really was feeling it was "Game Over" for me.

Fortunately I've got some great support in my faculty. After I confessed to my pathetic crying session to two colleagues, they shared their own stories of when they had their "crying time" and gave me support and many practical ideas how to deal with the challenges. As one put it to me : "All teachers go through this stage - and then you can go one of several ways: some teachers face it and work out how to deal with it and go on to be good teachers, others leave the profession, and the worst option, some never deal with it, but stay in the profession". I felt very sorry for myself - but decided I wanted to be in the first category of teachers: work it out.

Two days later I faced the test again: and a tougher test - a double period with the challenging class. Different teaching strategies, I stayed very calm, and ... amazingly .... the students (mostly) worked and (some) learned new material. Two students actually apologised to me for the previous period (they must have seen the start of my breakdown!), and the student who had been the most aggressive was polite and civil to me (one of my colleagues said that was their way of apologising). It went to so well, I actually let the students continue doing maths exercises rather than bring out some games I had planned - save that one for another day! Maybe we can start from this base, and slowly introduce some of those more engaging and deeper learning activities I perhaps foolishly tried on Day One. So the week ended on a high.

So why the uncontrollable flood of tears? Apart from just fear of failure, and the ego hit of being rejected, I really have been resisting the pressure to conform and follow more traditional approaches to the "teacher-student-role" - I didn't want to be the adult who dominates the classroom, who uses well-tried techniques to achieve command and control - techniques that I believe often create barriers and inhibit learning. In a way, those tears were for the loss of that of idealism, tears that I might have been terribly mistaken - and that to survive I would have to become what I don't want to be. What I've learnt though is it's not quite that black-and-white: students and the system itself are not always as open and welcoming to your idealism (naiveté?) as you may hope. So you do have to toughen up - this isn't a game for the weak. Now the challenge is to learn how to be strong and resilient, and carefully use those command-and-control techniques, and "play the system"- without losing the idealism, hope and commitment that are the reasons I want to be a teacher.

It's Saturday morning now - a great night's sleep - and the comfort of knowing I survived my first really challenging week. I'm so grateful for the support and friendship of colleagues. And also a little embarrassed to think of my reaction given I only have one class out of five that is challenging - I can only imagine what it's like for teachers who have maybe four out of five challenging classes - period after period, every day of the week.

I don't think I'll be crying again.

One month later: Looking back on this, part of me is chuckling at how sensitive I was at the time - but another part of me sees the importance of going through the experience.  I will be sharing some of the teacher responses to this story in the next post.

Friday, April 15, 2011

Take a piece of paper ....

What does it take to learn the Index Laws? Surprisingly little if you (i) can fold a piece of paper (ii) can multiply by two. I first observed my head teacher do a version of this lesson last year with his Year 7 class, and had the joy of doing a more advanced version with my Year 9 this year.  I have a feeling the idea goes back to the dawn of maths teaching, but I haven't seen a resource explaining it, so thought it would be fun to share my take on it.

Index Laws Folding Paper v1

Wednesday, April 13, 2011

Approved for "Free Cultural Works"

Urged on by Chris Betcher's post "If you want to share, say so" exzuberant is now CC-BY-SA.


Creative Commons License
Creative Commons Attribution-ShareAlike 3.0 Unported License.

Previously I had this blog set at CC-BY-SA-NC, but  this way anyone can use my work now, so long as they accept to open their own work unencumbered by copyright. Welcome to the Commons :-)