When at uni, in my last year I sent a letter to the Dean about the mathematics course. The gist of it was that I thought that the course needed more structured and sequenced content.
It seems this is becoming a more popular view. When 'mature age' students leave university they have a real disadvantage as a lot of mathematics is not fresh in your mind (as it is when you leave school) and you have no real idea what is to be taught to what year group and how. You have to muddle along for a few years before it is all sorted out.
There is also a pressure for all of the kids to feel successful all of the time. To achieve this, typically teachers dumb the course down a little. As you get more experienced you can lift the bar higher without students feeling hopeless, get them to 'ride the wave' so to speak.
The idea of mandating a minimum curriculum (and setting a syllabus) in mathematics for each year group is a good idea. By setting a standard this will assist graduate teachers know what needs to be taught, where the course is going in following years and make for an easier transition when moving between schools. The scope and sequence documents are a good start, but we probably need to now go further and make it compulsory to use these as the minimum benchmark for teaching mathematics K-10.
Thursday, October 16, 2008
Tuesday, October 14, 2008
Blog entries on CAS calculators.
Other educationWA articles on CAS calculators:
General
My first use of the CAS calculator Click here
Naming conventions Click here
How to navigate through menus (what's a menu bar?) Click here
Naming variables Click here
Statistics
How to create and use a list of data (what's a list editor??) Click here
How to create a graph? (What's a StatGraph?) Click HereHow to find the mean and missing values of a data set? (how do you solve an equation?) Click here
How to find probabilities with Normal Distributions? Click Here
Finding simple moving averages Click Here
Combinations and Permutations Click Here
Algebra
Balancing equations. Click Here
Solving simultaneous equations. Click Here
Absolute Value and Inequalities. Click Here
Absolute Value and Inequalities 2. Click Here
Functions (Inverse) Click HereFunctions (fog(x)) Click Here
Trigonometry
How to find an unknown angle from a triangle using the sine rule. Click here
Storing formulae on the CAS calculator. Click Here
Number
Annuities, Reducible Interest and Amortisation (Finance). Click Here
AP's & GP's. Click Here
Calculus
Finding and solving problems involving the 1st derivative. Click Here
The articles should be completed in order as they build upon previous entries. They use the Casio Classpad 330.
General
My first use of the CAS calculator Click here
Naming conventions Click here
How to navigate through menus (what's a menu bar?) Click here
Naming variables Click here
Statistics
How to create and use a list of data (what's a list editor??) Click here
How to create a graph? (What's a StatGraph?) Click HereHow to find the mean and missing values of a data set? (how do you solve an equation?) Click here
How to find probabilities with Normal Distributions? Click Here
Finding simple moving averages Click Here
Combinations and Permutations Click Here
Algebra
Balancing equations. Click Here
Solving simultaneous equations. Click Here
Absolute Value and Inequalities. Click Here
Absolute Value and Inequalities 2. Click Here
Functions (Inverse) Click HereFunctions (fog(x)) Click Here
Trigonometry
How to find an unknown angle from a triangle using the sine rule. Click here
Storing formulae on the CAS calculator. Click Here
Number
Annuities, Reducible Interest and Amortisation (Finance). Click Here
AP's & GP's. Click Here
Calculus
Finding and solving problems involving the 1st derivative. Click Here
The articles should be completed in order as they build upon previous entries. They use the Casio Classpad 330.
Monday, October 13, 2008
CAS Calculators Casio Classpad 330
Sat with the CAS casio classpad 330 calculator today. OMG.. what a learning curve, to face 3AB MAS MAT and learning how to use this new bit of tech.
We tried to use it to assist in solving an investigation. Took 3 mins on paper. 5 mins to setup on the calculator and 1/2 hour to find out why it wasn't working.
I think I'll need to post a few things on here about it as I learn more.
My advice to all - get the stupid thing out and start playing with it tonight if you haven't started already.
The first bit of useful content for learning the tool I've been given is http://www.classpad.com.au/. The videos are a bit of a help and look quite good. They may assist if you can take the students to a lab after introduction of a new topic.
The consensus is to get proficient to at least the level of graphics calculators and then the rest will follow as everyone gets more aware of their capabilities. I certainly miss not having certain buttons at easy range that I am familiar with such as trig functions and sqrt keys. I do like fiddling with technology though so I don't see it as too much of an issue for me.
oh.. and Rom Cirillo from the Curriculum Council (who has been a rather nice bloke throughout the NCOS fiasco).... of course if you ask us to vote whether we want CAS calculators now we are going to say yes... WE HAVE ALREADY TOLD PARENTS THAT THEY HAVE TO GET THEM FOR NEXT YEAR BECAUSE YOU/CC SAID THEY WERE REQUIRED, YOU DILL! Great idea to shift blame to teachers for any costs to date by shifting responsibility for calculator selection in 2AB back to schools. What happened to the equity issue for 2CD students next year (not to mention the need to buy a $175+calculator for use in 3 terms year 12)? When CC people (at the PD) were questioning the need for these calculators at all, I wonder how much thought has gone into the need for this planned, staged, implementation by CC (it seems another opportunity to ditch teachers into a hole and see what comes out). Is there any actual measurable improvement in maths by students expected by using these tools (especially as complex calculators are rarely used out of school)? Does anyone know where the broom is?
Click here for an index of CAS calculator posts.
We tried to use it to assist in solving an investigation. Took 3 mins on paper. 5 mins to setup on the calculator and 1/2 hour to find out why it wasn't working.
I think I'll need to post a few things on here about it as I learn more.
My advice to all - get the stupid thing out and start playing with it tonight if you haven't started already.
The first bit of useful content for learning the tool I've been given is http://www.classpad.com.au/. The videos are a bit of a help and look quite good. They may assist if you can take the students to a lab after introduction of a new topic.
The consensus is to get proficient to at least the level of graphics calculators and then the rest will follow as everyone gets more aware of their capabilities. I certainly miss not having certain buttons at easy range that I am familiar with such as trig functions and sqrt keys. I do like fiddling with technology though so I don't see it as too much of an issue for me.
oh.. and Rom Cirillo from the Curriculum Council (who has been a rather nice bloke throughout the NCOS fiasco).... of course if you ask us to vote whether we want CAS calculators now we are going to say yes... WE HAVE ALREADY TOLD PARENTS THAT THEY HAVE TO GET THEM FOR NEXT YEAR BECAUSE YOU/CC SAID THEY WERE REQUIRED, YOU DILL! Great idea to shift blame to teachers for any costs to date by shifting responsibility for calculator selection in 2AB back to schools. What happened to the equity issue for 2CD students next year (not to mention the need to buy a $175+calculator for use in 3 terms year 12)? When CC people (at the PD) were questioning the need for these calculators at all, I wonder how much thought has gone into the need for this planned, staged, implementation by CC (it seems another opportunity to ditch teachers into a hole and see what comes out). Is there any actual measurable improvement in maths by students expected by using these tools (especially as complex calculators are rarely used out of school)? Does anyone know where the broom is?
Click here for an index of CAS calculator posts.
Sunday, October 12, 2008
Mock Exams
Mock results are in and they're looking good. You've all worked consistently and have performed above your indicated ability levels.
Well done guys!
Now is the time to examine those areas that were nearly there and consolidate them. Study hard, make sure that your time is focused on subjects that you need for your TEE scores. Enjoy the last two weeks with your friends, pick your study buddies well. Get stuck into those revision guides and past TEE papers. Soak up the last of school life.
Well.. don't just sit there.. get to it!
Well done guys!
Now is the time to examine those areas that were nearly there and consolidate them. Study hard, make sure that your time is focused on subjects that you need for your TEE scores. Enjoy the last two weeks with your friends, pick your study buddies well. Get stuck into those revision guides and past TEE papers. Soak up the last of school life.
Well.. don't just sit there.. get to it!
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