Wednesday, July 1, 2009

Work Ethic

I had a discussion today as to whether work ethic could be taught.

My reply was no.. it couldn't be taught but it could be instilled. By this I meant that work ethic is not something that could be learned from a lesson, it was something that grew in a person over time.

As a school, fostering work ethic is something that needs to be done from an early age. Assuming that kids will instantly start doing 3 hours of assessment and study in year 12 is a recipe for disaster if they have only been doing the bare minimum until year 11.

So.. how do we instill a good work ethic? This is what I have considered thus far...

1. Model it at all times. If students see that you work hard they are more likely to think that adult behaviour requires work.
2. Build it up slowly. Start with little things like developing an assignment in class over a number of days, analysing a task, breaking it down into multiple steps and creating a timeline for completing the task. Homework is another good way to do this. Start with 15 mins in one learning area, develop the use of a diary and start giving homework in multiple learning areas.
3. Recognise achievement. Praise students that show signs of developing a work ethic. If a student does well, explicitly draw attention to what has contributed to the result.
4. Tie effort to reward. Without the effort being commensurate with the reward students cannot learn to value their effort. If a students does the work and fails, ensure that the failure is identified as a path to success.
5. Group students with a similar work ethic. This will create demand for students to work with like minded students and create an environment of success for these students.
6. Teach self correction and independent learning. A key component of work ethic is when a student feels empowered to teach themselves. A student with a good work ethic will not give up purely because the answer is not under their nose! In maths this could mean asking a friend, reading a worked example or checking answers in the back of the book and then correcting mistakes.
7. Being punctual and ready to start (not five minutes after the activity begins).
8. Being prepared and having all required materials.
9. Showing respect for those around them by being focussed on the task at hand and not distracting others needlessly.

I'm sure there's more - as I think of them I'll add them on.

Point 5. is a bit contentious, but I am a little sick of teachers sacrificing good students to assist with behaviour management or to "model" the behaviour to others. I think if we actually analyse the usual approach of mixed groups - the good kid is the one who usually suffers.

:-)

Saturday, June 27, 2009

Inspirational educational stories

Here's to making a difference in your own life. Sent to me from one of my educational heroes. Ta Keith!

http://www.latimes.com/news/local/la-me-harvard20-2009jun20,3,3233106.story

It reminded me of an 'A' student that I met that had cystic fibrosis that knew she would pass away before she was 17 yet still searched for excellence.

Inspiration in education is one thing we are never short of.

Friday, June 26, 2009

Isolates within a school

In primary if a child is isolated, with few if any friends, teachers are relatively quick to pair them up with students of like interests or with similarly few friends. There is a process that happens with new students and other for socialising kids with new friends.

It's pretty easy to spot when it happens and it's a fairly major issue in primary years.

In high school it's completely different. It's not uncommon for a group of students (normally girls) to ostracise a student over some perceived misdemeanour, whether it be based on appearance (cheap clothing, lazy eye, red hair, braces), socioeconomic background, race, perceived intelligence, jealousy, personality... Forms of bullying often manifest in this sort of behaviour where physical violence carries a heavier penalty. It's humourous in a sad sort of way that in our school, there is pride in being a misfit and the 'normal' kids tend to be the ones that may find it difficult to fit in.

Isolates can be completely miserable in the playground and find the classroom a haven, as it removes some of the pressure to find, create and maintain friendship groups (at least until the first group activity). A classroom environment doesn't remove the loneliness. Some students can remain in this state for all five years of school.

What can we do as teachers to assist these students? Typically these students erect barriers that make it very difficult to assist them. They truant, gain attention through misbehaviour and defiance, become introverted, lack purpose and direction, lack social skills, can be depressive and generally unpleasant to be around. These are protections to hide their remaining self esteem.

It's easy to overlook them in amongst TEE preparation, programming, testing, assisting the students that 'need' our help. Typically they would have dropped out of school at year ten and found their way (I'm not sure what happens to them after school..).

It rankles to know that there are a number of kids in the yard that only get spoken to when I walk past and say hello as I rush to my next class. You see them every day, walking around on their own, waiting for the bell to go back into class and away from the hell of the playground. Any attempt that I've made in the classroom to assist has been ineffective, maybe as I am only one teacher who sees them for four hours a week.

On a priority basis, do you deal with the violent kid, the kid stealing from bags, the truant or the kid who is lonely in the yard and not causing any trouble? I've seen schools deal with this issue as a primary purpose of pastoral care... but they were green leafy schools.

Do we have the resources to examine the issue in state high schools?

Probably not. ... but we should anyway.

Saturday, June 20, 2009

Lockharts Lament

Lockhart's Lament was recently /.'d and is a really good read about one person's thoughts of where mathematics has diverged from being an art to a science (yes you read that correctly, was an art form now a science). It was interesting to read how a classroom could be transformed from a fact finding mission to a place focusing on the development of ideas, more akin to a history and art class than as a science. I've read a few different variations on the same theme, but this is one of the better ones.

It would be funny (thinking of pure maths as an art form) if there wasn't some truth in it. True creativity and inspiration is at the heart of any discovery. On the other hand, if I was hiring people to build a bridge or a skyscraper I'd want a person doing it that had been drilled in maths and understood how to apply it rather than some introspective, dreamy, philosophy driven hippy. The approach suggested infers putting even more language in mathematics, running the risk of removing maths even further from those students that find it a refuge from humanities based subjects.

There's nothing stopping us implementing or re-introducing some of the ideas in the article into the curriculum. I'm always looking for ways to reinvigorate my classes and this may be one! I would though be wary of any approach that took more maths out of mathematics. After all, we don't all have the genius to discover maths the way of Gallileo, Pythagoras, Archimedes, Newton and Leibniz... but like the writer I can appreciate and revere the simplicity and elegance of their findings.

Tuesday, June 16, 2009

Report time again

Here's the time of year when the most important communication will be made between the teacher and parent. A paragraph of words can lift the confidence, invigorate flagging academic performance or deflate a student to the point of giving up.

Identical paragraphs given to two students may have completely opposite effects.

Teachers for the most part create these paragraphs straight after marking exams and under some fairly tight deadlines. It's usually at the end of a term and we're far from fresh and chirpy. After the exams are marked, reports are finished, students are at their ratty worst at the end of term then we get to talk to parents.

It's week 8.. that time when we think, OMG I'm a little tired.

So, do you play safe and write bland comments and save the deep and meaningful for parent discussion. From a strictly legalistic point of view, it is the safest option. We are often urged to write detailed reports by admin but as a lawyer once told me.. don't commit anything to writing that you wouldn't want to see in a court of law, and it's far safer to not commit anything to writing.

Are we opening ourselves up to legal issues by writing encouraging words to students and enticing them to try harder in order to reach the potential we see in them? If they don't reach the potential are we opening ourselves to liability issues?

Monday, June 15, 2009

Just in time intervention

Since starting teaching I've endeavoured to provide kids with just-in-time intervention. I'm not sure where the concept originated but I use the term as an in between to "early intervention", "delayed intervention" and "too bloody late intervention".

Just in time ("JIT") intervention is finding an area where the curriculum has failed (such as weak performance found after a test in an unexpected area) and plugging the gap by providing extra tuition or resources to fix the issue, immediately after the issue has been discovered (thus the "just in time"). Examples when JIT intervention would be be needed would be finding BIMDAS problems during the teaching of percentages or discovering negative number issues when expanding brackets in algebra topics. Students needing JIT intervention typically can master new topics but can't apply their new learning due to an associated issue - leading to poor retention of the new concept. Fix the associated issue and fix retention problems of new concepts.

JIT intervention is different to early intervention as early intervention is typically preventative and is sprayed around like a weed killer - "catch the issue before it occurs and hopefully we will stop what happened last year". It's different to delayed intervention as this can be seen as "the next teacher can try again with the same sort of material next year (only more difficult) and try to find success" and too bloody late intervention which occurs in senior school where students are finally streamed into classes where they can find success but have little time left in school to do so.

Until now I have focused on finding worksheets and doing lunch workshops for particular areas of the curriculum. I have avoided online resources as until now they have been overly focused on fun and are not focused enough on addressing requirements of students. As there is only one of me, workshops and worksheets have had limited success - in senior school if you scratch the surface it wells with underlying issues that require attention, more than any one person can address.

Our latest attempt to provide JIT intervention is to leverage some of the developed online tutorials that have shown some promise and direct kids to them. In an art imitates life experience (think 'the Simpsons'), the free McDonalds sponsored "MathsOnline" project is getting a guernsey at our school as the tutorials have found success with indigenous students - which we hope will extend to other struggling students needing help. We are setting up a maths lab that allows students access to the MathsOnline resources and will use them in conjunction with maths resources bought from the ESL budget for low literacy students. The mathsLab is adjacent to my room (connected with a concertina wall) and I aim to be able to monitor students as they attempt to rectify a range of issues and assist where possible.

I do like the maths online implementation as it is not "button mashing" or "timing based competition" but requires listening to a short tutorial, working out answers on paper and then checking them against an online marking key - similar in concept to the pizzazz or mathomat/mathmagic type worksheets (without the awful maths jokes (that I tend to laugh wayy too heartily at))... It also records the attempts of students so that I can investigate when the tutorial is insufficient.

We presented mathsonline today to the IT committee and hopefully they see some benefit in it. Our principal was positive with his praise of the initiative - now we have to find some success to warrant the praise.

Wednesday, June 10, 2009

Right Angle Trigonometry Meta-language

My prac student is to deliver the right angle trigonometry unit and I was thinking about all the little things that I like to emphasize to students.

The first thing I would like him to consider is to design the course to make connections to previous courses of work (prior learning) especially with regard to language. Mathematics has such a rich history of precise language that it is important to identify ideas correctly to students in a manner that ties together topics to promote abstraction.

For instance before actually doing anything, we need to remind students what the LHS and RHS of an equation is, and how to identify the subject of the equation that we want to work with. Then we might think about how to eliminate coefficients and pronumerals/variables from one side on an equation, transpose terms/pronumerals/variables and multiplying through/simplifying to remove a denominator. What can we substitute into an equation? How do we solve the equation? Do we need simultaneous equations? We need to use every opportunity to reinforce concepts learned in previous algebra topics.

We have geometry prior learning to consider, three internal angles = 180°, a right angled triangle has one internal angle 90°. Line properties give us complementary, corresponding, co-interior, supplementary, adjacent, vertically opposite, exterior, alternate angles. Also the types of triangles, isosceles, equilateral and scalene help us find other angles. Circle geometry gives us tangents, subtended angles, cyclic quadrilaterals. Properties of 3D shapes!

Only after we consider possible connections to prior learning can we think about actually teaching the relatively small amount of new material. Without these connections we are just teaching students a new trick that will be forgotten immediately after assessment (a key issue exacerbated by the increased assessment required by OBE reporting requirements).

We have to introduce a range of new ideas such as opposite, adjacent and hypotenuse for right angled triangles. We have equations such as Pythagoras' and the three trigonometric ratios. .. and the dreaded bugbear bearings (until vectors makes bearings look easy!!)

We have conventions such as labelling the hypotenuse 'c' and the remaining sides a, b for Pythagoras' theorem problems and opp, adj and hyp in trigonometric problems.

We have good practice such as always writing the symbolic form of a trigonometric equation before substituting values, labelling diagrams, identifying right angles.

We have acronyms to help us remember trigonometric ratios SOH, CAH, TOA.

What is the correct sequence for introducing the material? What resources can we use or have available?

So now prac student, your job is to help students see how their prior learning is necessary to solve these problems!

Touchy.. Touchy...

Often speaking at school you think.. bloody hell.. that's not what I meant.

This seems to happen to me a lot as I am a bit introspective at times but will say what I think - and subsequently seem to live with a constant case of foot-in-mouth.

A couple of students came to me and said, "such and such teacher just doesn't understand.. I ask them for help and they don't listen." I sat down and talked with them about the kind of questions they were asking and it turned out to be a conversation like "I just don't understand anything!", to which even I would respond, "then go back to primary. I can't help you either." I then talked to the students about leading questions, redrafting and investigated what they did know. By the end of it, we realised that they had actually learnt a lot from the teacher already and that the angst they were feeling was that they now had to use this knowledge and that this required work.

.. so I said to myself... job well done.. and mentioned it to the teacher and asked if students resubmitting redrafted work was a problem and discussed the conversation I had with the kids.. this was turned on me as, "don't you think I provide scaffolding for my kids." OMG.. I'd just been praising this teacher to students and pointing out what they had already learned!

Another case in point occurred when I was asked did I have a preference to teaching boys or girls, to which I responded I thought I had a bit more experience teaching girls, therefore found it a bit easier.. to which the scamp teacher cheekily replied.. "I find boys easier to teach, are you saying I have less experience with girls?" ARGH!!!

These were jokey experiences, but sadly in teaching often analysis of our strengths and weaknesses, or sharing our ideas is seen as a prelude to punitive action to rectify a perceived issue. This fear often hampers any reform process and causes much angst with regards to performance management issues.

Oh and don't even think about robust discussion or sharing subject passion or investigating your own perceived flaws.

One of the ways of stopping teacher close mindedness is to nip it in the bud with practicum students and promote sharing of ideas (using new media where a young group of teachers is not at hand) to ensure that we become collegiate as a profession and welcome self and group analysis as a way of improving our performance. With many of our experienced teachers on the verge of retirement beaten down by OBE we will need to accelerate the speed that teachers become competent and we can no longer rely on the "closed door, hide in our classroom and teach ourselves" method of learning. It's inefficient, in a world where people change careers like underwear, it is also impractical.

That's my rant for today.

Friday, June 5, 2009

Unrealistic expectations and belief

As a teacher you hold fragile confidence in your hand every day. Belief in a student is a powerful thing, it can set a child on the path of success and make them believe in their own futures.

When we get caught up in grades and league tables and moderated scores and all other such associated bulldust we forget what a powerful thing belief is. When we believe in the person miracles are possible.

When we don't let students try, succeed and fail, we fail our students. Failure is important when seeking the utmost of our ability.

School is not about high stakes testing, nor about consequences. It is about creating a safe environment for our kids to explore their limits and seek excellence. Sometimes as a society I think we have forgotten this.

...as teachers we see the evidence of our beliefs every day.. as well as the consequences when our belief fails.

It's something to ponder.

Monday, June 1, 2009

The meaning of life

Today, I was talking about the meaning of life with my daughter..

Her response was definitely, "GOOP!".

..and how true she is. We start out as goop, we end as goop and we goop about a lot in between.

In fact there is very little that can't be explained by the word goop..

but.. I was unsure if she was interpreting our existence as part of a predestined global goop entity rather than as individual gooplets with free destiny. Does she lean more towards intelligent goop design or a more darwinistic goop approach? I'll have to check with her later.

Very thought provoking little 3 month old Mackenzie! Maybe she can explain it to me when she learns her second word.

Saturday, May 30, 2009

A different model for success for state schools

Permanency has always been a key goal in state schools with teachers falling into permanent positions and then staying in the same school for 7-10 years, perhaps reaching long service leave and seeking a new school.

Stability, one would think, would be a key advantage over the private sector. I would suggest that it is the exact opposite. What tends to happen is that schools in adjacent suburbs function like teachers in classrooms. Many not knowing what is going on in the school/classroom next door.

Another key advantage would be the non competitive nature of schools is of a reasonable distribution of students, with students being part of catchments removing competition between state schools. In the private sector it is counterproductive to assist neighbour schools find talented students as they are potential customers. Yet in state schools we find it is common practice to poach students (and thus lower a school's potential results) either through systemic planning (eg. G&T schools) or through informal discussions with year 7 groups across catchments.

I think that increasing the rotation of teachers in schools within a district would solve this problem. Teachers would be attached to districts rather than schools and key teachers (level 3 CT's perhaps) used as troubleshooters for schools that cannot reach benchmarks. Benchmarks would be created for districts rather than schools. Funding would be linked to performance of the district with underperforming schools being given proven troubleshooters to improve performance (Think similar to the AFL draft!).

This would promote common frameworks to assist teachers with transitions between schools (the new system couldn't work without them). It would also lessen the poaching aspect as we could distribute students freely between schools in the same district knowing common teaching methods were being used and that school based performance was irrelevant.

By being district teachers rather than school staff, needs based movement could be made based on cohort size and specific needs of schools. I imagine this was the original idea of central staffing. To maintain consistency of approach, pastoral, teaching assistants and administration staff would remain school based but would need to agree on baseline standards. Consideration could be made on how HoD's and level 2's are distributed and moved and on what basis. Movement of HoDs and level 2's would give graduate teachers a wider exposure to teaching methods and promote exchange of ideas and resources between our expert teachers. Similar to the movement of principals in the metropolitan area.

It would require a change in mindset from 'development of a school' to 'development of students for a district' - seeking the betterment of the system rather than the betterment of a school. It's a philosophical change of mindset.

I like this idea. I doubt many others would.

Dancing...

Often I bop about with Mackenzie when music is on and she quietens.

Today we were at Woolworths and she was crying...

So here I am at the checkout..


"We are, We are.. the fresh food people..."

Dancing.. Singing.... baby in arms...

What a rocking tune.. The poor checkout girl thought I was nuts and Kendra is still laughing..

Milestones

6000 hits since July last year.. 750 hits & 499 unique visitors for May.. passed the 200 post mark... not bad if I do say so myself..

Hello to everyone out there !!

Career development & Half cohort musings

Today I was thinking.. what's the best way to get better early in your teacher career and do the most good in the community? Is it better to stay in one place surrounded by people that are supportive and appreciate your contribution, developing your own ideas with a small group or move amongst a range of schools, view what they are doing and use that to cross pollinate ideas whilst developing your own skills?

The half cohort is a critical moment in state school teaching in WA, with DET very late realising that it is having a negative impact on both school morale and student intake. For Ms O'Neil to release a missive saying the half cohort is being managed properly is to ignore the fact that it is not! Something that is being managed properly would not endanger subject delivery at schools, would not reduce student numbers over a five year period (which to my knowledge is not happening at private schools), cause further loss of teachers, leading to a loss of teaching knowledge (both about content, cohort, process and individual students) and further loss of confidence in your employer.

Schools are contemplating busing students between schools such that they students will have access to courses that individual state schools will not be able to offer due to small cohorts (this includes core subjects, Maths, English, Science and S&E). This means that students are taken out of their social settings, have reduced access to their teachers, lose contact time due to travel. Teachers lose access to certain courses for periods of time, have to teach more often across learning areas, have to teach subjects with gaps or years between offerings (eg. 3A subjects offered in 2010 & 2011 at one school, would move to another school for 2012 & 13), teachers may have to flit between schools with all the associated issues with managing split shifts, marking, load and travel time (equivalent to moderation issues 8-12 all subjects, all year round). Schools have to manage timetabling across multiple schools reducing the flexibility for change and development, manage attendance, manage the different acceptable behaviours/pastoral care, the consistency of assessment requirements and manage differing academic, literacy and numeracy standards.

Other options include merging 8/9, 9/10, 10/11, 11/12 classes.

There is more potential for students to fall through the cracks; it is an awful lot to deal with.

Subjects with low numbers (typically academic subjects such as maths specialist, physics, chemistry, lit, politics, history, economics), drawcards for students when selecting schools, all of a sudden may not be offered by a school unless under the busing students model (parents will really need to read the fine print!).

Busing students could be positive especially when tied to more options for students - with adjacent schools specialising in areas such as aeronautics, dance, LOTE, drama, specialist science courses, maths enrichment, sporting initiatives, computing, shed work, VET courses and the like that could not normally be offerred in a single school of 400-700. My concern is when schools are diminishing their offerings rather than enhancing them. Perhaps restricting busing to non core subjects and limiting it to one/two afternoons a week is the commitment that could be made by DET to limit potential issues. MESS teachers would need to take an option/specialist class or have all their DOTT at once. Anyone with VET courses at schools knows the timetabling issues caused by kids being out for half or whole days. Running specialist courses over schools is something that could have been done without the half cohort issue which leads me to think that more than likely it has already been tried with limited success.

There are other potential indirect benefits: in small schools, class sizes of 5-6 are more difficult to develop cooperative learning opportunities; it is also more difficult to instill some level of competition between students; (and the big one) these classes are more difficult to justify in terms of cost per student. Courses that may only be offered occassionally based on demand may be able to be offered consistently under a busing model.

So... going back to my original question, in amongst all this uncertainty, what is the best option for doing good in the community and developing my teaching skills? Sadly, it could be the private system for the first time in two years, especially with my family on one income and having a temperament like mine that needs a level of stability. I'll continue to think it through and seek more of the positives in my current situation as I love working in the state school system otherwise.

Thursday, May 28, 2009

Exam Time

My students are primed for their exams, have completed their practice and been given time to revise. They have completed the content designed for them and are busily refreshing their minds with the content.

They say they're not ready...
They say that they will forget it all...
They say that they can't remember.

... despite all this

THEY BETTER DO BLOODY WELL AFTER ALL THE EFFORT THAT'S BEEN PUT INTO THEM!

We'll see. I'm tired and am looking forward to them going off on their exam weeks..

My HoD came into class today and laughingly told my students I'd get fired if they didn't do well.. In industry that's what would happen.. trainer no good.. get a new trainer..

I suppose teaching doesn't have the luxury of firing teachers in the learning phase as a good teacher takes a few iterations of fairly mediocre teaching before making a good teacher. Maybe we're heading to more disposable teachers.. It wouldn't surprise me.

My personality is more to just stand aside and let a better person take over than tell everyone to f&ck off and let me do my job.. but standing aside is not the fastest way to my skills getting better and wouldn't give my students the best chance of success (they know me, I know them.. a bit of support and I'll get the capable ones over the line). The question has always been can I handle the mediocre phase until I get truly good as I have always been able to do in past occupations.. Do I have the skills to get past the mediocre phase? Can I recognise the real vs the perceived consequences of my failures for my students?

I think for now I just have to take a big deep breath and dive back in.. If I get fished out and benched for awhile I have to just take it on the chin or bite the bullet and find something I am good at with my existing learning. When I make it.. I'll finally be a skilled maths teacher able to teach all levels of 8-12.

Who knows when that will be.. Certainly not me!!

Sunday, May 24, 2009

Nature vs Nurture

Interesting article here outlining the limited effect of nature and how schools (and parents) can make a difference.

Thursday, May 21, 2009

Content vs Process

Here is the first of (I imagine) many articles on the importance of teaching content in schools and the reemergence of the idea that developed conceptual understanding can only be achieved by having a baseline of subject knowledge.

It has always been to my mind counter-intuitive to request a student to "understand" a topic without having facts to scaffold that understanding upon. There is no use in giving students methods of learning information if time to learn the information is not given and valued. The constant devaluation of content knowledge vs developing process has lead to a flawed education system.

I have to agree with the writer that being a yr 11/12 subject teacher with a deep understanding of a course requires more ability than that of 6/7/8/9 or 10. These experts in their fields deserve to be paid more and gain recognition for the guiding of students at this critical point in their lives. It is high pressure work with success leading to recognition for the school and the making of careers for students. Failure can lead to pressure from parents, administration and (more damaging) self criticism and confidence depletion.

Having experienced now 7,8,9,10,11,12 there is no doubt in my mind that the pressure involved in getting students over the TEE line far outweighs anything in earlier years. I have utmost respect for those that do it successfully over long periods of time.

Wednesday, May 20, 2009

Mid Semester Exams

Yesterday I was asked why run exams in year 8 & 9.

I could think of 8 reasons:

1. To reduce fear of exams (students use the idea of exams as a bugbear for not attempting level 2 subjects.)
2. It gives an anchor to the idea of study/revision.
3. It is good practice for upper school and identifies students bound for more difficult courses.
4. It provides feedback on what has been achieved by individual students during the semester.
5. It supports grades allocated by teachers put into reports.
6. It provides a benchmark of performance from year to year.
7. It is the backbone of academic rigour in a school, short of doing a personal project (which is impractical in most public schools).
8. Students gain confidence in doing exams by.. well.. doing exams.

Then I heard the excuses and heard what was really going on:

1. Such and such is just rewriting the NAPLAN test (fine if that is all you have taught in Sem 1!).
2. It's a lot of work (it's our job!) for little return (see 1-7 above).
3. I have to mark it (well.. yes.. but we teach math, compare that to issues in English & S&E, we have it easy!).
4. The kids can't do exams (some can, and they are severely disadvantaged compared to the rest of the state if the first time they see an exam is term 2 year 10(think league tables, think school numbers people! No results.. no school)).
5. I can't write an exam (huh?? ..nor can anyone else, we don't know what you have taught, nor do we know the level of your students! If you need help with formatting we have loads of support staff and teachers willing to help).

There is some argument that there is a level of over testing in year 9 due to NAPLAN but exams and NAPLAN have very different focus. NAPLAN looks at the student compared to the student cohort of the state. The exam should show a snapshot of the learning and retention of the most recent semester.

I can also understand the argument that some students should not sit an exam. If a student has a learning difficulty or is miles below the level of the exam (and a special exam has not been prepared for them) then it makes sense to exclude them.. these are our 1B kids.

Tuesday, May 19, 2009

Subject selections

I had a call from my dad today who asked, "I've been told all along that your stepbrother is university bound by the school but I have his subject selections for year 11 and they are all level 1 subjects."

When I dug a bit further he had been counselled into 1C English, 2C Maths and some non NCOS subjects. He had been given not recommended for 3A MAT and 3A MAS and told that he would "struggle" in 2A English, 2A Physics and 2A Chemistry.

I think many parents may be getting suggestions like this soon where schools make cautious subject selections to ensure that only the best students seek university entrance and along the way maximise league table results.

This move from encouraging students to seek excellence and challenge themselves towards seeking subjects that they will definitely do well in is contrary to the human spirit (especially when many of the non NCOS subjects lead nowhere). When we seek the improbable, all too often we succeed as we have underestimated our own capabilities. So many students that develop late are currently thrown on the TEE scrap heap without being given an opportunity.

Worse still, many parents still do not understand that level 1 subjects (in general) condemn their child to TAFE and not university - with ECU now saying that level 2 subjects are minimum for entry to university. Schools are effectively moving the university entry point to year 10 rather than pushing students through the year 11/12 learning curve/ litmus test where they have a go. Many TEE students succeed/many fail but all learn about themselves from the experience.

Somewhere we gave up on our youth.. before they turn 16 we drown their dreams in politically correct statements about students finding success and designing courses suitable to their needs. Shoot, we can't even devise an assessment programme systemically that can measure their ability (yes, I am talking about the failed levelling experiment). How can we judge with 100% accuracy who will improve enough to reach university? We are failing the 5-10% of students (or maybe even more if we count those that benefit from the effort) by not making them try to extend to university levels - especially those without environmental or behavioural issues. We have an obligation to encourage them to try, extend themselves and seek excellence.

It always amazes me what kids can do when given opportunities and are taught to value them.

Monday, May 18, 2009

Another IOTY candidate

The next nomination for idiot of the year goes to Barry McGaw chairman of the National Curriculum Board for his statement "the new standards will clearly show what skills and knowledge a student should aim for at each year level, making it easier for teachers to identify student progress and to help them."

A co-nomination goes to Caroline Milburn author of the article in The Age that says "Teachers will no longer be the sole judge of a student's work, after a landmark decision by the National Curriculum Board to introduce year-by-year achievement standards for pupils. For the first time, all teachers in Australian schools will have to use the same achievement benchmarks to measure student progress."

We know from MCJ in WA and how league tables are used that standards do not make it any easier to identify student progress as variables that define student learning are (in general) too various to adequately define. The only thing that standardised testing has done has reduced many good schools to "teaching to the test". No test has a better idea of student progress than a good teacher.

Caroline Milburn you are just publishing sensationalist tripe, if history repeats itself, we will just be given a load of generalist edubabble descriptions and unusable work samples that produce unscientific and statistically unsound assessment. Not to mention that standardising results across Australia has minimal use or effect other than for systemic discussion (which has no place in the hands of the public - see below).

My rant earlier today on this topic on the Education Matters forum went like this..

"I thought that we had learned from the smartie chart fiasco [in WA] that standardising grades is an exceptionally stupid idea.

Student A is trying their hardest but has little support at home. They are in a low socio-economic school, have peers in similar situations and have no chance to compete with students from leafy green schools. So each year, teacher has to give them a 'D' or somehow find them a scholarship, remove them from their social peers and hope that they can handle the social stigma attached to being in a higher SEI school.

The student without a scholarship gets sick of receiving D's (despite their attempts at catching up and working really hard). This is the same student that given a higher grade would have caught up and done really well in senior school, be a TEE candidate and contribute to urban renewal in low socio-economic areas (this kid was me - which is why I am so passionate about the idiocy of standardisation in this manner).

It also works the other way around. Student B does bugger all in school, but achieves an A because they have reached the benchmark. Without the motivation to push themselves further they don't learn a good work ethic.. Two years later they fail senior school as they hit their ability curve and have no drive to fall back on. It is just such a b*llsh*t idea.

School is about excellence and doing your best - not about standardisation and "fairness" in grading. Anyone with half a brain can see the flaws in it. TEE examinations provide the cross school moderation and that is where it should stay. I fear though that the drive for standardisation comes from government fear of litigation and the need to defer risk to schools where legislation and procedure provide some protection."

and then again later..

"Standardisation creates the same issues under a different guise. It potentially dictates that I teach material that is clearly beyond the student capabilities. I have no problem with suggested standards nor syllabus (syllabii?) but I do have an issue where I lack the ability to modify it where required. To demand that I teach algebra in term 1 year 7 when my kids can't do simple operations means that I would waste two terms teaching inappropriate material. To have to fill out twenty pages of documents to justify the delay (I know I'm projecting here but I have some understanding of how bureaucracies work) would do my head in.

Whilst we are on the topic of standardisation, to give these same students a standardisation test that tells them they are below benchmark (translate that to dumb in kidspeak) and destroy fragile confidence because the test is effectively two terms early is also wrong. I'm not sure of the purpose of these tests other than to satisfy curiosity of head office and parents. If they were internal tools that we could use to gauge performance and modify curricula to suit I would support them - but as yet all I have seen is judgements made about students, niggling comments about teachers, and misapplication of developmental/environmental causes rather than teaching or intelligence based assessment.

Either we value the judgement of our teachers or we use standardised testing. To continue the devaluation of teacher judgement in lieu of creating a better system needs further analysis as I don't think we are doing the education system any favours by pursuing a course of teaching to tests and the associated pressure of high stakes testing on children. "

Now I feel better.

Sunday, May 17, 2009

3A MAT Ex. 8B Annuities and Amortisation

Ok.. AP's and GP's are now a thing of the past (what?? huh?? when did that happen - in 8A of course!).. we're now onto applications of growth and decay.. nope.. (we did that in 8A too.. huh?? what??)..

MAT 8B We're now onto Annuities and Amortisation - growth and decay with payments.

The calculator handles this under the Financial, Sequences or Spreadsheet.

Starting with Financial:
Once in Financial, select Compound interest.

n - represents the number of installment periods
I% - is the interest p.a.
PV - is the present value (the initial investment)
PMT - is the payment per period
FV - is the future value (the investment at period N)
P/Y - is the number of installment periods per year (how often a payment is made)
C/Y - is the number of times interest is compounded

Let's look at a simple problem say 8B q.3 in 3A MAT. Kelvin invests $620,000 into an account giving 5.8% pa. interest compounded annually from which her withdraws $50,000 at the end of every year.

a) How much is left after 10 withdrawals (N=10, FV=?).
N=10
I%=5.8
PV=-620000
PMT=50000
P/Y=1
C/Y=1

Leave the cursor on FV and press solve (at the bottom left hand corner of the window)
FV=436670

b) For how many years will Kelvin be able to withdraw 50000 per year

Find when the account is exhausted of funds (eg. N=? when FV=0)
I%=5.8
PV=-620000
I%=5.8
PMT=50000
FV=0
P/Y=1
C/Y=1

Leave the cursor on N and press solve (at the bottom left hand corner of the window)

N=22.52 therefore for 22 years.

If anyone can explain why PV is negative I would be very appreciative. I know from last year's course that it is but have no idea why.

Now Sequence:
This could also have been done through the Sequence tool using recursion
a) Tn+1=Tn*1.058-50000; T0=620000. Find T10
b) Tn+1=Tn*1.058-50000; T0=620000. Find n Where Tn=0

I'll leave the spreadsheet method for another day.

Here is a link to other CAS calculator posts.

3A MAT recursive formula, AP's & GP's

Those of you attempting Exercise 8A without students with a thorough grounding in AP's & GP's in year 10 will be scratching your head at this chapter.

Q1: creating recursive formula from word descriptions
Q2 -5: creating sequences (tables of values) from recursive formula in the form Tn=...
Q6: identifying AP's, GP's or neither from sequences
Q7-9: creating sequences (tables of values) from recursive formula in the form Tn+1=...
Q10: creating sequences (tables of values) from recursive formula in the form Tn-1=...
Q11-12,15,16,17: creating sequences from multiple previous terms
Q13: recursive formula using the term counter(n) in the formula
Q14: finding unknowns in recursive formula
Q18-22: Growth and decay problems

My recollection of when we did this in Discrete was that these topics were covered over multiple chapters. When attempting 8A students faced difficulties in that the calculator has some limitations. I can usually maintain 1 chapter per lesson but in this case I let it run over three lessons and found some extra resources to supplement the topic as it left many students scratching their heads. This was hard as it chewed into the revision time I had left for exams.

Things to remember for next year:
1. Present multiple examples of recursive formula for the same sequence for Tn, Tn+1 and Tn-1.
2. Introduce the limitation that the calculator (in sequence mode) can only use up to two previous terms in its definition (eg. Tn+2=Tn+1+ Tn not Tn+3=Tn+2+Tn+1+Tn). We wasted a lot of time on this.
3. You cannot move freely between Tn-1, Tn, Tn+1 and Tn+2 representations if n itself is used in the formula. eg. Tn+1=Tn +3 is equivalent to Tn=Tn-1 +3 but Tn+1=Tn + n is not equivalent to Tn = Tn-1 + n
4. Be careful with the position when dealing with growth and decay. It is usually much easier to define T0 (Tzero) and Tn+1=.. as the initial value and formula. Thus when solving for n, n is the answer rather than n-1 (which caused no end of confusion amongst students).
5. Make students do the examples without a calculator unless it states otherwise. A lot of time can be wasted trying to make Sequence mode do things it is not intended to do.

Sequence mode and Calculator usage (What not to do).

Most sequences can be done in Sequence mode. Some cannot. Here's how to get into Sequence mode.


Let's put in Tn = 2Tn-1 -5 where T1=3 (q.11 from 3a MAT). We are looking for T1 to T5. Press Type in the menu.
Figure 1.

You will notice that the notation to the text is different in that "an" is used instead of Tn. Ignoring that, you will also notice that there is no option for "an", only for "an+1" or "an+2". (Blogger can't do subscripts so just put them in where needed!).

In this case it is not such a problem, we can just transpose our equation to Tn+1 = 2Tn + 5 as n itself is not used in the formula; The given value T1=3 now becomes T2=3, remembering that we are looking for T2 to T6 now (which is really T1-T5 of the original formula).

So now we put in T2.. Easy no? NO! If you look at Figure 1 we have options for Tn+1 where we are given a0 (the zero term) or a1(the first term). No option for a2.

The Saddler text does a pretty good job of making the calculator look clumsy and painful to use compared to paper and pen.

Here is a link to other CAS calculator posts.

Thursday, May 14, 2009

Me Tarzan.. You Jane...

Yep sure.. that's me big alpha male...

ha!

Went to get a flu shot today.. No man flu this year I thought.. No sniffling and whining about how sick I feel.

Anyhow, two minutes after the needle was put in (which took about a second and didn't hurt at all(really!)) I woke up on the ground. The nice nurse (who was a great grandmother) had to catch me and guide me to the ground as I was out cold.

What is it about men and needles? The nurse assured me that it was not at all an uncommon occurrence. I can stand in front of a bunch of hostile adolescents and win them over.. but can't overcome the fear of a one inch bit of metal stuck in my arm.

Next time I'll just take the flu.

Thinking back though, I didn't feel weak until I watched Kendra get her needle. I think the thought of a loved one being hurt is also a factor.. of course I could just be rationalising what is a pretty pathetic incident.

I still feel horrible.

And now for my maths joke so you can all feel terrible too..

If a five sided figure is a pentagon and a six sided figure is a hexagon, what is it when your grandmother passes out?

A Nanagon of course! (Not to be confused with a Nonnagon (an italian grandmother) or a pollygone (a missing parrot)).

Must be the residual chemicals in the system!

Monday, May 11, 2009

Turning around struggling schools

I read this article with interest about schools being turned around.

"The basic theory is that middle-class kids enter adolescence with certain working models in their heads: what I can achieve; how to control impulses; how to work hard. Many kids from poorer, disorganized homes don’t have these internalized models. The schools create a disciplined, orderly and demanding counterculture to inculcate middle-class values."

Duh!

To not provide strong behaviour models is to invite failure. The ethic that work = results = success is not inbred in these kids by their immediate environment. Developmental programmes for these kids are inappropriate as they do not have a drive to develop.. we must first create this drive.

"Basically, the no excuses schools pay meticulous attention to behavior and attitudes."

I like that.. "no excuses".. and it is so applicable to our public schools. In our society, everyone gets to have their say, anything can be rationalised as true and the time wasted unpacking excuses is.. well.. inexcusable.

"They teach students how to look at the person who is talking, how to shake hands. These schools are academically rigorous and college-focused."

Under the guise of political correctness and multiculturalism we accept a range of behaviours that interpreted under this model is inappropriate. Whether this is right or not is not a question I can easily answer but as a nation we need to decide what is acceptable behaviour and then teach it. Teaching a class of thirty under this model would require some bending of cultural mores in order to encourage a class environment of like behaved students rather than a group of individuals. To drive these kids towards developing the rigour for higher education would be fantastic.

"Promise Academy students who are performing below grade level spent twice as much time in school as other students in New York City. Students who are performing at grade level spend 50 percent more time in school."

I love the idea that those behind have to work extra hours.. how obvious.. if you're behind you need to do extra work to catch up, unlike our current policy of teach what you can in the time allowed which results in students that need more time to learn each topic falling further behind each and every day.

The sad fact is that creating a no excuse environment would take much commitment/courage and would create much heartache within the school community. I don't know if it could be done within the Perth environment with our inclusiveness of multiple cultures. It would be a move back towards creating "Australians" rather than a nation of multiple cultures. I don't think as a nation we have been driven to this yet.

If we could decide on minimum standards (minimum attendance requirements, obedience to teachers, zero aggression, completion of homework, minimum expectations of results before progression) perhaps it would be a small step to replicating the results found in Harlem.

Saturday, May 9, 2009

Exercise bah humbug!

Over Christmas I stopped running in the morning. It took ages to get my fitness back to the stage of enjoying a run again and a whole heap of unadulterated pain.

Being someone that doesn't like pain and thinks that exercise is overrated, it was a big thing for me to get fit in the first place and rather unfortunate that I stopped exercise over the eating season. Hello 10 kg. Goodbye feet. My trousers are getting tight where I once needed a belt. It was probably time to do something about it.

My wife started hiding the chocolate biscuits. I had to do something.

Anyway, I had the bright idea to start running again.. so during the week I took out my running gear and each morning turned over and said to myself.. tomorrow is a good day to start again.

This morning I must have had some sort of brain malfunction and actually put the gear on and went for a run. It went great for the first 200m. The next 200m was getting tough. The next 2km was stabbing forks in my thighs and glass shards in my lungs. Unlike the propaganda for exercise (and consistent with anecdotal evidence of most unfit people trying to exercise), it was not fun, I do not feel good and wouldn't recommend it to anyone including the guy with a dog that poops on my lawn (well.. maybe him). Walking up the last hill, my legs were 200kg bags of cement and I could only breathe occasionally. When I finished I wanted to crawl into a small heap and moan at the moon.

What was I thinking??!?????

Will I do it again.. yes, probably.. like most addictions it crawls up at you and time to time demands that you again have a go.

Maybe I could just buy some new trousers....

Wednesday, May 6, 2009

One for Ornithologists

Was caught today using one of my lessons from uni. It is about drawing histograms and the following data was used:

score. f
1...... 2
2...... 2
3...... 8
4...... 2
5...... 1

It was quite funny then but not really appropriate for a maths class.

Being a know-it-all

Sometimes I read past entries and think that perhaps I said that a bit strongly, and what is an opinion is stated a bit too much like fact.

Well.. today I was caught by my own enthusiasm and after a little assessment have proof that some of the coursework was above the level of the students as I see retention of information from first term way below the level expected (On a scale of little recalled to perfect recall it fell off the scale in the OMG category).

As a new teacher, pitching classes at the right level is a little hit and miss at times (sometimes coursework is too easy other times too hard).. but oh boy.. this one was a doozy. It's not that the situation is irretrievable or that any real harm has been done (later learning will be done faster through introduction of the topic now) but it does raise the point that pre-testing and having the experience to estimate ability accurately is a real bonus once out of your initial years of teaching.

Pitching a lesson series at the wrong level creates a raft of issues. Firstly it damages the confidence of students. Secondly it upsets the sequence of learning and lastly it can cause behavioural issues as students turn off and look for other activities to stimulate them.

Being absent whilst baby was born hasn't helped either, as I may have caught the error earlier.

Bugger.

Tuesday, May 5, 2009

Literacy and the need for developing capacity

A common catch cry in schools is that we need to improve literacy. Each year the same old rubbish is wheeled out in the guise of cross curricula scaffolding, pro-forma templates and a bunch of clever sounding words that achieve little.

I think if we actually looked at what each learning area is actually doing, literacy is a common component that does not need to be explicitly looked at as a 'literacy' issue. Let's take mathematics for example and the current rhetoric.

Literacy Statement:
Gone are the days where you can teach and test a skill. To adequately support literacy in a school we need to implement literacy in every learning area. Texts used need to support literacy initiatives.

Maths Reply:
Mathematics is typically a text dependent subject. A good mathematics text typically has three components. Each section starts with explanatory text, an area where a student has the content explained - such as a worked example. Following the explanatory text is usually some form of text bank that identifies key words within a section and their meaning. Each word in the text is identified by the teacher and used in context to assist students expand their mathematical vocabulary. Following each bank of words is a section of practice starting with straightforward examples and leading to word problems that require varying degrees of English comprehension and analysis. Mathematical comprehension is verified against answers supplied to questions.

Literacy Conclusion:
Over time, whilst immersed in examples of the mathematical form, the student gains contextual understanding, developing processes and strategies guided by cues for usage. Students are encouraged to reflect upon the level of their skills through answer keys and response items in assessment. Students develop independent learning strategies through investigative tasks to extend their growing understanding."

At this point some people (predominantly non teachers and skeptics like myself) will go "what a load of BS". This is not "literacy" rocket science but just old fashioned teaching (no surprises here.. the maths response was teaching from a text with some testing).

Unfortunately a lot of the literacy movement seems to be just hot air .. a lot of documentation that outlines what we already do, with no defined outcomes or outcomes so unmeasurable that they are worthless.

When parents ask for literacy improvement they usually mean can my student paragraph, write a coherent sentence, deconstruct a problem, understand a text. These tasks are typically issues addressed in English departments as specific skills taught over five to ten years. In the same way we teach supporting mathematics for SOSE and Science, we need English to teach grammar, comprehension and reading skills to assist us. This seems to have been the first positive outcome from NAPLAN testing and the national curriculum debate.

The main issue with the literacy debate and to a lesser degree "the whole of language approach" is that core skills in English (and to a lesser degree other subjects) have been given a backseat to experiential learning and by distributing responsibility for learning language based skills we have watered down the ability and accountability for learning areas to deliver their subject specific content (and undervalued the real skill of English teachers). The value of cross curricula learning has been overestimated, with few realising the amount of work it takes to establish a working cross curricula programme.

As someone that couldn't write a paragraph properly until year 10 (when my English teacher forced us to write an essay every Friday afternoon last period for a whole year) I recognise that this is not a new problem.. but we have had 15 years since I was in school to identify the issue and pinpoint better ways of solving it than the current mess. When responsibility for written skills is devolved to many, responsibility for success is also distributed to the point often that no-one is responsible. Written skills (although supported by all learning areas) need to be the responsibility of English departments in the same way that mathematics is guided in a school by a Mathematics department.

I think that strong, visible and active English and Mathematics departments in a school are clear indicators of a good school.

We need to consider that developing capable English and Mathematics departments is not optional in schools.. it is a necessity and priority for success.

Monday, May 4, 2009

Why I teach..

There are times we wonder why we teach and today I thought to myself, why is it that I teach?

I know that for many of the kids that we work with, they will never understand why we are hard on them and push them to try harder.. why we argue on their behalf.. why we stick our necks on the line with unpopular positions in order to influence change.

I suppose it is because I was one of these kids.. and if someone hadn't pushed me regardless of how I was being a right little shit at times I wouldn't have had all of my worderful life experiences to date.

.. and I owe it to these kids to try and give them those same chances.

Saturday, May 2, 2009

Memory

This year I was asked to assist the yr 11/12 students with life skills once a fortnight. The idea is to give the students some understanding of the skills required to succeed post school. Last week was a course on memory.

I started out by asking the students to listen to 15 two and three digit numbers. I then waited ten seconds and asked them to write down as many as they could remember. The frist time varied between 4 numbers and seven numbers.

We then talked about different ways of remembering things

a) chunking (eg it is easier to remember 9456 1426 than 9 4 5 6 1 4 2 6)
b) rhyming (During the depression I felt fine, back in old '29. or creating concentration cards)
c) acronym (NATO - North Atlantic Treaty Organisation)
d) pictorial (see below)
e) Look Cover Write Check
f) multi-modal delivery (Hearing, Writing, Reading)

The pictorial one was interesting as it struck a chord with many students. I drew a picture with a guy jumping off a waterfall, a Teddy bear, some stick figures lying on the ground, a guy jumping out of a three story window, an arrow pointing down. Then I asked students to complete the picture with other images of the great depression. They could see how interesting pictures could help them remember.

We then talked about how getting information into STM was not enough, STM information decays rapidly. For information to be recalled from long term memory reliably it has to be input many times to prevent decay. We discussed that we could apply the number test to learning.. If you hear 15 points in a class but don't attempt to remember them your brain will just forget them! If you spend some time trying to learn and recall the information you will have less decay of information and better recall. Revision of the same topic multiple times over multiple days is important. (I really like Saddler's miscellaneous exercises for this in mathematics!)

Over learning was also discussed. I often say to students we go through three phases when learning.

...duh?.............I get it!.............. I know it!
..............trying............practising

When students are in the 'duh?' phase they don't have a clue and nothing makes sense. If they try, they may enter the 'I get it!' phase where they can follow the teachers and do some work independently. To reach the 'I know it!' phase they have to practice and experience a range of examples and scenarios integrating their knowledge with other areas of discipline.

Overlearning a topic comes after this when knowing when to implement skill or knowledge occurs to the point of automaticity (instant recall without thinking). This can only happen when a student learns the skill and then actively seeks deep understanding of the topic, mastering the skill to the point where they will never forget through constant practice well after the 'I know it!' phase.

Interference was discussed and how Ipods and the like can be beneficial if used to block out background noise (eg with a song that is well loved but does not require active listening) as opposed to a new song that would "interfere" with the learning process.

I then asked the student to listen to the 15 numbers again. After the ten second wait they again wrote down the numbers.

I was astounded, 5 students had all 15 numbers correct. I've run this test a number of times to test transferral of information from working memory to short term memory(STM) but never with these results.

Some clever cookies here!

Here is another article on the topic.

Alternatives to chess club

Chess club has always been a good way to get students (typically boys) to think ahead before making a decision or committing to a particular path of investigation. Unfortunately it is seen as the forefront of nerddom. With some students nerdiness is seen as a badge of pride, but students today are very socially conscious and if we seek to capture students with ability in lower years we need alternatives to foster this skill.

There are a range of alternate games, not as elegant as Chess, but have similar outcomes. The ones that I have been investigating are Caracasonne, Ticket to Ride, Portabello market, BattleLore and Small World.

The last two BattleLore by FFG and Small World by DoW seem to have the most promise as they are infinitely replayable (like Chess) but have a different level of appeal. The main issue I am having is that they require a permanent home as a game tends to take longer than 45 mins.

BattleLore is a fantasy war game that takes about 30 mins to learn and up to two hours to play. It runs through different missions and lends itself well to a leader board type scenario. The downside is that it is only played by two players at a time. This is the main factor I rejected it as a possibility for the entry point game.

Small World is different in that it has up to 5 players and takes between 40 minutes and 80 minutes to complete a game. Its humorous and requires thinking ahead and is quick to learn (less than 5 minutes)

We have created a web server and found six desktop machines. We aim to create a mathematics lab for key senior school topics. One of the kids is formatting the boxes. Maybe we could even use my personal cals for AOE or RON to increase a session size to 10-15 students!

Friday, May 1, 2009

Things going ok.

I have a niggling sensation that although things seem to be going ok, that there's something wrong. I can't lay my finger on it yet but I feel I've been here before.

My rapport with kids is going well, no complaints.. students engaging with coursework and some seemingly really positive results. Attendance is up, kids are completing work. No real behavioural issues.

The timetable is travelling pretty well with six weeks to go of semester one.

Maybe it's the lack of that "let's attack a problem" that I'm feeling. Usually at this time of term I'm trying to be proactive about something but I haven't found that thing that has school support. It's a bit of a case of do what you're doing. There's nothing really wrong with what you're doing but conversely nothing really all that right either.

My tens proved the "when you think they know something do one more lesson" again with distance between two points. They couldn't do it on Friday.. they sortof had an idea on Tuesday but by Friday they had no trouble with key concepts such as naming coordinate pairs, calculating distances between two points graphically and algebraically, labelling axes, plotting points and the like.

Students were liking 3A MAS again now that we had finished vectors and were finishing logarithms. The usual complaints about worded problems but they are slowly getting better.

Perhaps subconsciously I'm thinking that if I'm not being encouraged to push myself I'm being directed to have a look at my teaching methods and results. Maybe I do need to be more self critical.

My experience in teaching is that asking questions like this of peers causes people to question your competency, which is hardly a path to improvement.

It's a feeling of being a bit bland ...

... and I don't like it.

Monday, April 27, 2009

Education matters

Best of luck to the new education forum in Perth created by regular posters from the Plato forum.

The link is here.

Big shoes to fill!

Saturday, April 25, 2009

Teaching moments

Occasionally in teaching you have a moment that stays with you. On this particular day I was chatting with a student that was having a hard time relating to teachers. I said to her, "nice people associate with nice people." Her response was, "but how do you meet nice people?"

That has stuck with me as it says a lot in a few words. It said how she wished to be a nice person - although she had been referred to as a little shrew. She didn't think she knew very nice people and didn't really think she had much in common with nice people. She was about to graduate year 12.

It was a profound moment as by intuition I realised that many of these kids had no idea of what nice was to judge themselves by. Where in our curriculum do we examine truth, justice, honesty, doing good to others, teamwork, selflessness? Our curriculum is embedded with feminism, eco-friendliness, multiculturalism and many other analytical topics (areas where we analyse how things come about in small contexts). The loss of a true History and Geography course, English literature at many schools, discussion and debate of critical formative topics is a real loss to our society.

When students tell me what they get up to on the weekend (knowing that I will stick my hands in my ears and go lalalala when getting to the relationship stuff), I tell them that I only envisage them going home and playing with trucks and dolls. To me the males are gentlemen and the girls are ladies. That is always my image of them. I always maintain that they are, in fact, nice and that someone values them doing/being good. I remind them that their parents are their greatest allies and that they may have to depend on them (and statistics say live with them) well into their late twenties. To them this is another lifetime!

What do we give students that make them feel good about themselves? Do we show them value of the family unit, of co-dependence, of selfless giving? Do we show them the negative aspects of capitalistic dogma and expose the generation Y fallacy that life is about fame and fortune? What do we give them that helps them see that they are in fact nice.

Something to think about.

Idiot of the year award for 2009

And the first nomination for the Idiot of the year award for 2009 goes to Julia Gilliard for her school performance reports that are not league tables.

... and would anyone like to guess how long it will take newspapers to collate and release the data in league table form? My guess is not much longer than it takes me to write this blog.

Well done Ms Gillard, what a fair and equitable system you are creating for working class Australia that cannot afford private education.

I won't even start on what I think about 6 week teaching courses.. if Ms Gillard had suggested teaching apprenticeships on the other hand (we all recognise that practicum is the most useful part of teacher training).. but could teaching practitioners handle being referred to as a tradies (other than the shed boys) instead of as professionals??

Here's a link to an article with mock ups of school performance reports. See for yourself.

Tuesday, April 21, 2009

"In Camera"

In reading about SSTUWA, a lot of material that should be public or at least explained to supporters of the executive is labelled 'in camera'. A term like 'in camera' should be anathema to a public organisation that is elected to be representative of members.

Wikipedia defines "in camera" as

"In camera sessions, also known as executive session which are a common point of order during board meetings, where information is provided that is not reflected in the minutes, and not available to the public. Some topics that may be discussed during in camera sessions include personnel decisions, financial decisions that must be kept secret (for example, where an organization is contemplating purchasing land but does not yet want competitors or the public to know about this strategy) or other sensitive issues related to the organization."

It is the last part of the definition that is misused as anything can be defined as "sensitive to an organisation" as the organisation must define how sensitive that it is. Members of the union are misusing this principle in order to make active members of the executive look inactive by disallowing public release of their attempts at change within the organisation.

Furthermore the definition goes on to say:

"Otherwise, justice in free countries operates under the principle that in order for justice to be done, justice needs to be seen, and the admission of the public to the court is considered a right. It is also used where one party claims some sort of privilege against a document (such as attorney work product or attorney-client privileged communications) while the other protests it, whereby the judge reviews the document and determines its admissibility."

The "in camera" definition raises the point that the members are, in the case of the union, the judge is the 'union president' and the public are the members of the SSTUWA. To misuse the powers of the union president in calling for 'in camera' discussion could be seen as seeking to actively mislead members through misdirection and deceptive conduct. Justice needs to be seen, that is the role of minutes and to limit the ability of members of the executive to discuss issues and develop their viewpoint with members seems decidedly undemocratic. You would think that in times like now, where little is being actively sought, would be a public breeding ground for new ideas and direction for the union. A rebirth as such of a well directed, robust and open organisation.

The 'in camera' discussion (and the 'poncyness' of anyone using it to confuse the masses and engage in legalese for the sake of it) I found irritating from the onset and I could not for the life of me discover why. Intuition is a wonderful thing.

The involvement of Marko in the union seems to finally be opening doors to a more active union. We should all be encouraged by perhaps finally having a more representative body and stronger leadership developing.

Sunday, April 19, 2009

3A Mathematics Specialist Course

Well I sat down today and finished my worked solutions for the 3A MAS course for Saddler's text. The most difficult part seems to be the Vectors component as the other areas are quite simple in their delivery.

I suggest to students to get a hold of the OT Lee text and do extra examples of these vectors questions. A couple of examination preparation books are also available from Academic associates and Academic task force. I was lucky to have been given the West One 3A CD that also has some great material to supplement the standard text.

A problem that I have seen in the class is getting students to understand the nature of vectors, especially the idea of magnitude and components. I even have to think twice when wind problems are involved. I need to amend the programme and structure it more to vectors and away from logarithms.

My advice for all starting out teachers is to do the hard yards and complete any exercises set for students before asking students to complete them. This is especially true for mature age teachers with long gaps between completing high school maths and teaching it.

One useful thing I did was mark stop points against the work where I felt I'd had enough before starting again. Although I completed the text in a couple of days, it was in multiple sittings. I'll use these stop points as indicators where I can slow the programme down.

The TDC assignments to date have been well received by students. They have been able to complete the assignments and have been positive in their feedback. If the TDC can keep supplying quality assessment then that will reduce the assessment problem for teachers starting to teach yr 11/12 specialist courses. It is daunting for starting teachers to identify good assignments/investigations.

The MAT course on the other hand so far is a bit of a doddle given the work we did with students last year.

Friday, April 17, 2009

Fractions

Primary parents are always asking about ways of teaching fractions. The main thing I tell them is to spend time with their kids and work through their own thinking. One of their main concerns is that they do it differently to the teacher and don't want to get their child confused.

I relate to this as many times as teachers we have to think if we have broken it down far enough to promote thinking. Sometimes having a framework is handy with steps to teaching a concept or skill. Here's an ebook that does that (it's not perfect but it could help).



There are many other ebooks on mathematics found here

Monday, April 6, 2009

Happy and sad event

The guys on the Plato website today have announced that they will be winding it down stating that Platowa had achieved its objectives. I think all of us in the teaching profession in WA have a big thank you to say to these guys and what they have achieved over the last four years (especially in making the union a relevant body again). If Marko was president of the SSTUWA even a hardened anti-unionist like myself would join.

It has been amazing to watch technology used in a way that achieves an outcome, and equally amazing to see people put their jobs on the line over an ideal and principle. Agree with them or not you have to appreciate their efforts. It will be interesting to see if a lobby group like this will ever again be as powerful within the teaching fraternity (are you watching this space MAWA?).

If and when Plato is retired, I will miss reading the forum about WA education from the minds of teachers, parents and interested parties. Without it, we would not have seen into the politics of teaching. I am glad that they feel they have achieved what they set out to do. It is rare in life that we have time to reflect upon actually reaching our goals.

Sunday, April 5, 2009

Four days to go...

The countdown is on to the next break.. four days to go.

The last week of term is a time of wind down, with students in upper school focusing on their ball on Thursday and those in year ten disappearing on holidays before the end of term.

I'll gather in the last of the test results from this term and celebrate getting through another week eight of term. For me, week eight is always a milestone, each week eight signals getting through the goals of a term and getting that much better at teaching.

One interesting experience last week was a student that despised my teaching method last year actually sitting for two hours with me conquering a topic - at her request. Hopefully she can keep this up - it would be wonderful if she could, the re-engagement of a student into education is something that should be celebrated, too often students are lost in year 10, on the verge of starting a run at university. It signalled what we all know deep down, that a student should never be given up on, you need to be on the lookout for ways and means to repair damaged rapports.

The last week was a good one, with many signs of students understanding what senior school is all about, smiles and students seeing success in their progress.

I'm really looking forward to the break.. and some baby time. She's growing up so fast. Now that we've figured out that the expressed bottle is causing the colic.. she's another baby (and a wee bit quieter and happier!)

We reached a few milestones with the blog too, 1100 visitors this year (the same amount as the whole of last year) and over 3300 pages read. Many thanks to those that have left words of encouragement.

:-)

Saturday, April 4, 2009

Three steps forward...

There are times when I wonder, 'what have we been doing for the last two weeks?' My year tens are at this stage right now. We've been going through linear algebra for two weeks and it's clearly beyond a good dose of my students.

There are a number of issues:
a) They have weak self esteem and give up before trying
b) They have a low work ethic
c) Their algebra skills are weak-non existent (transposing to find c in y=mx+c is heartbreaking)
d) Their operations are weak (explaining gradient in terms of rise/run leads to all sorts of issues)
e) Their understanding of negative numbers is suspect

So I have two choices, teach them the topic and hope that the students get something from it to help them on their next iteration of learning or try and fill the gaps that 9 teachers before me have tried to fill with limited success.

Current thinking would say cater to individual differences and backtrack. I'm not sure that this is the right thing to do. By teaching the topic it gives the students an opportunity to 'get the gist' of what is being achieved (associate linear algebra with lines and equations, learn about gradient and slope, be able to find the y intercept and the like) and then hope that when they do 1B or 2A next year they can use this knowledge to properly participate in class.

I don't know.

Wednesday, April 1, 2009

Ten Tips for Practicum Students

I remember being on practicum and had my collection of nightmares and successes. After recently having a practicum student, it reminded me of some of the things I learnt while on practicum. There are lots of things that you are told at uni, but here are some of the more obvious that you may not be told.

1. If you are going to talk to the class, ensure that all students are ready to listen. Don't talk until you have full attention of everyone in the class. Create a spot at the front of the class so that students know that you are waiting to start.
2. Don't talk to the board while writing on it. There aren't any students behind it to hear you.
3. If your practicum teacher tells you to do something, do it. Write it down so you don't forget.
4. Appreciate your practicum teacher. The $12.50 per week and the aftermath is not worth it. They are doing it for the right reasons.
5. Don't have another job outside of school whilst on practicum. You are making a hard job harder.
6. Don't get lazy or cocky.. when you think you are prepared, prepare a little more.
7. Make sure students have been taught enough to complete any task you set them.
8. Do any exercise/task yourself first before you give it to students.
9. Have a clear introduction and conclusion to your lesson (keep an eye on your timing!).
10. Take praise and criticism well from students and peers. Reflect, learn from mistakes and grow thick skin where required.
11. Be rested, eat well and look after yourself.

Ok, it was eleven.. shoot me.

:-)

Sunday, March 29, 2009

Variables on the classpad

There has been some confusion about how to define variables on the classpad in my class. Here is what we have discovered.

If we use a variable found under the mth tab -> var on the soft keyboard (the variables that are italicised) it is treated as a normal pronumeral in algebraic equations (multiplication is assumed with adjacent pronumerals). The x,y,z on the keypad is also treated this way.

eg x = 10, y=20; therefore xy=200

The multiplication sign is automatically added.

If we name a variable using the abc tab in the soft keyboard(the variables that are not italicised) then we are naming a variable that has multiple letters.

eg xy =10; x & y are undefined.
m = rise ÷ run



Potential Gotcha!

We have to be careful not to confuse functions defined under the mth tab (eg. trig ratios) and variables that we have created when using NumSolve. One of my students entered this on their calculator.

Cosθ=adj÷hyp

It would return the fractional value adj÷hyp rather than the value for theta. This is because the student had defined a variable "Cosθ" by typing Cos via the soft keyboard rather than entering the function Cos via mth->trig->Cos.


Superscripts and Subscripts

Later on students will want to use subscripted characters when creating variable names. One example is the gradient formula.

m=(Y2-Y1)÷(X2-X1)

The subscripts are found in the soft keyboard under abc->math at the bottom of the screen. Superscripts are on the line above it. Only numbers at this stage (more will be possible as more fonts are released) can be superscripted or subscripted as far as I can see.



Here is a link to other CAS calculator posts.