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Alignment Mathematics
New standards, lit/num etc

NZAMT Resources
Curric Levels 1 to 6 unpacked
Curric Levels 7 and 8 unpacked
New Numeracy Unit Std Resources

  June 13 2011
Go the Ferns

An update. I do intend to write a newsletter soon and bring you up to date with being back in a schgool. All is OK. On this site I would like to post my secure assessments and any others that I find or are offered. I will be selling access to these assessments to help offset site costs. If you have resources for schools that you would like to sell then please email so we can discuss this. I have hundreds and I will be trying to estabish a reliable site for tried and tested resources.  Keep in touch.

MAVCON... I have placed my presentation file for all to access here. It is called MAV FRAC MULT.ppt

"Thinking Mathematically" PROGRAMME at 4th NOV
BOPMA Conference is this month, Nov 22nd at Dinstinction in Rotorua.
I am construction a nearly complete plan at teh moment and it will be posted here later today (mon Nov 1st). Alex James for Canterbury University is our keynote speaker. We have 20 workshops and 4 forums run by the Ministry, Envsioning the Future(2), and BOPMA. Four themes of workshops style the day; statistics, technology, thinking, anything goes and classroom. The "Thinking Mathematically" theme is to relect the NZC focus on thinking and communication.

Curriculum Levels unpacked and resources for the new Numeracy (and Literacy) Unit Strandards which I am hoping you are all brave enough to explore and use. It is the way to go!
Curric Levels 1 to 6 unpacked
Curric Levels 7 and 8 unpacked
New Numeracy Unit Std Resources

I will be posting my thoughts on course selection and pathways soon along with a sumary of NZC workshop reflections.

SNP Year 1 training days Sep 20/21
were interesting. The files James supplied are under the 123 Logo above. click there and look for The James Files. Remember to get well organised for testing in both Year 1 and Year 2 of the project. Experience shows that other school events take over and the best plans of the ISF turn to the proverbial poo. Best to start testing in OCT well before rthe end of the year and keep the pressure on. Get the data in, collated from all teachers, put onto the spreadsheet, save as .csv file and upload to the database. DONE!

Term 3! All is not that settled. PPTA aand 4% will be a dominant feature; some Principals have said new literacy requirements from other subject areas is problematic and downgrades ENGLISH; NCEA L1 is now new for 2011, NCEA L2 consultation has just finished; NZC year 1 is almost over and schemes should be quite robust; SSS contracts are all PPP from 2012; and to cap it all off finding mathematics teachers is a bit like finding hen's teeth. Oh well, GST is now 15% or 3/20ths. The easy additive way is 10% and then half of that again. The harder multiplicative way is to x1.15 or divide by 1.15 when adding and removing GST. Note this is the same problem when increasing by 15% BUT NOT THE SAME PROBLEM as decreasing by 15% (mult by 1-15% or .85). Ask your students WHY?

BOPMA Mathematics Conference
is November 22nd, Monday. Theme is "Thinking Mathematically"; Location is "Destination" Rotorua. I am now asking for workshops, advising suppliers of the date and will get information to schools for the new term.
Link to Alex James, Google the nameKeynote is Dr Alex James. Alex lectures in mathematical modelling and is keen to see more fun in the classroom. Earlier this year we both attended the "Envisioning the Future" conference hosted by Auckland University. This was a breath of fresh air for mathematics and the theme will continue with Alex's keynote. Expect to hear more on this topic. Alex features on the website.

NCEA L2 Consultation is now over. There is a lot of development going on into writing assessments for L1. NZAMT are on to it and if you want to know more and take part contact Writing Camp 2011 dates have been set.

 If p is prime, the p^n has n+1 factors and they are 1, p, p^2, ..., p^n.

My Typo's continue to amuse me as well. Some I can not print because they are too revealing or honest. Here are a few of the others.

I keep discovering new Englisgh language words as my fingers type and work in strnage ways. Some are:-

   - plerase  … this is a new form of asking nicely

   - teh …another spelling of the common word for the particoular articel.

   - releaiving… this is another attempt at getting out of school.

   - claculator…this is a new device that resolves transposition errors in calculation

- lagebar … a state of generalised stupidity

- learnign …what happens just before you know something
    - fcuk ...thsi is schularism used when understanding a problem as in "What the fcuk?
    - yoru...abbreviated from Starwars lingo by Yoda and is actually "Yo! r u?" which is a greeting/question of health and reference simultaneously.

Please send me yoru favorites with teh appropriate definition.


I maight make up a webapge of typos and thiungs for all to enhjoy

See BOPMA Website for Lastest 2010 Mathmind Questions and results. Great competition. Bopma Conference dates and programmes out soon when a few more decisions have been made.

NCEA...External exemplars are on the TKI website. Check out 1.2 Question 1(d). Caio for Naio. JIM

Taupo Average Temperature Chart. We are higher this year.
Climate Average Temp Graph

MID July in Taupo! The graph is taken from the Wolfram Alpha response to my questions about "Taupo, NZ, climate" and more! We get all four seasons in Taupo, 384m above sea level and in the central plateau. No snow here but it can get quite chilly. Once you arrive in Taupo it is all down hill too!

Term 3 Newsletter is right here. It contains info for this terms workshops, all dates and venues are correct.

Term 2  Newsletter is here. NZC WORKSHOPS info below and in the T2 newsletter.

Here is how other subjects can contribute to Numeracy and Literacy at Level 1. Just released today.

I was reminded of some work done by Belisha Price on Polyhedra. He did an incredible summary of this topic which also includes the subject of Vexilollogy. "What's that?" you say. Well go and  have a look. This is a 110% resource.

SPAN - Society for the Prevention of Abuse of Numbers. 1=1, 2=2, 1+2=3 and I am very glad it does.
I get a bit annoyed at 1.10 being referred to as "one point ten". Names using numbers are not numbers. Like telephone "numbers" they are just names. Convenient names, I must add, but all the same, just names. One does not do arithmetic on telephone numbers or titles. Words could suffice. Another annoyance is the abuse of the linear 1,2,3,4 and 5 when attached to a very non-linear questionaire or Likert Scale such as "Strongly Dislike, Dislike, Neutral, Like and Strongly Like" or some other discrete continuum. The social scientists add and then interpret the average, 3.23 say, as if there is meaning to the last decimal point. Ludicous to say the least and both instances are clearly ABUSE. Say so at every opportunity. Join the voice of PAN! (Might have to get a flute.)
If you read this you are automatically a member. There are no meetings yet but if I get enough emails I could well convene a conference. No emails yet ...June 11th.

A couple of fun things.
1. This should keep a class active for a few days. How much rice can you get donated!
2. 1/x + 1/y + 1/z = 1/5. (a) What are the fractions if x=y=z? (b) What are the fractions if x,y and z are all different. x,y,z belong to N of course. This was stolen from the "Starter of the Day". Just Google "starter of the day" or follow the link. Click on a day for the puzz. Transum have a very good resource here. Extra for Experts - try 1/w + 1/x + 1/y + 1/z = 2/7. You will know if you do that it is a very "multiplicative" problem. This means that if you do not understand what multiplication is, then the solution to this problem is not available. 

NZC Workshop 1,2,3 and 4.
See the newsletter but BOP schools 31st May in SSS, Taupo 1 June REAP, Coromandel June 2nd at Thames South School. The first workshop is about the new Achievement Standard Number Reasoning and looks at the standard, a very drafty assessment and some student work. I have run a few trial workshops and we also discussed the new Numeracy standards and procedures, possible courses 2011, holistic marking and statistics. The second workshop is in July and will discuss Statistics more but please see the newsletter sent to all schools and their principals. Copies of all resources are at the workshops. Email if you want any sent.

As a result of Workshop 1, I collated the teacher decisions and looked at the variation that holistic marking brings to the table. Here is a discussion document you might like to use. It is called "How Much Do We Agree". I have seen nothing about answering this sort of question quantitatively and enjoyed a little play with some simple mathematics. I am sure this problem could be made very complex quite easily!

NZQA. Please read all the Sequal News and read between the lines. I notice now in the S2009/044 and S2010/010 that the Externals for 2011 are ONLY the new three Achievement Standards 1.3, 1.6 and 1.12. The cost of running old AS externals (6 of them) and the new ones is too high so only the new ones will be offered. This means that courses for the students sitting the externals probably have to be all new achievement standards. It would be complex to run the old internals with the new externals, some exclusions would exist.

The TKI website is full of this information. Here is the address
If you then click to the mathematics resources you will see more.
The NZQA website has teh info about the new standards.
and the SEQUAL newsletters are here
and you subscribe here.
and while you are looking the moderators newsletter is here as well.

Note also that all exisiting UNIT STANDARDS are available for 2010 and 2011 and then all but 5236 (Pythagorus), 20663 and 25738 will vanish, forever. I put together a spreadsheet of some possible courses that could be constructed for the Year 11 cohort in 2011. Here is it here. Here is the new matrix as well for you to look at other possibilities.

The new Numeracy Standards are here also. Number, Measurement and Probability. Be aware that final consultation has not happened for these yet and small changes may happen. The assessment of these is NOT by a test. It is expected that a portfolio of work that indicates successful number calculation for the employment situation or as I see it, being multiplicative and using straightforward fractions, decimals, percentages and ratio in the school situation. This is a boon to low level mathematics courses and should see almost everyone getting the requirement of 10 credits. Managing the portfolio is a school wide issue and should have PR associated with the task. Better students will get numeracy through the achievement standards or in other ways. The assessor notes for these standards is a must read.

The standards can all be located on TKI throughthe NCEA link

Census at Schools has a new data analysis tool whcih is very useful. Here it is.

Check NZQA website for moderator news. Check NZAMT website for trial assessments 2011.

Newsletter Term 1 2010 is right here. I also write a Numeracy news which is specifically for my SNP schools but you can read that here as well. You can read the math advisor news from Manawatu/Taranaki/Napier here too. I will post current news as they arive. Quite interesting how we all get slightly different views of the current changes. NZQA and MINEDU have news websites also but you can Google those.

Draft Numeracy Standards for Consultation. Here they all are. Comments, Number, Measurent, Stats, Reading, Speaking, Writing. I have it on good authority that you may send oin consultation (to the email on these docs) after this date for a few weeks as well. Cut off officially is Monday 15th Feb which is not that far away. (Comment march is all over now....I think there was a song with that line.)

National Standards Y1-8 have been in the headlines the moment schools started. PM J Key fronted a news release to back up and support, cajole, jolly along, anyone who would listen. On TV1 News he even suggested that the standards were about teacher and school performance. In the NZ Herald he was reported as saying that published results were something that we should worry about in 2011 not now. Hmmmm... John, with all due respects for the "mandate" that winning an election implies, there are a lot of experienced primary and secondary educators who have a whole lot of knowledge about what is needed and what is actually being done for our children's education. Forcing another system into the forefront when there is a new curriculum being implemented is also problematic. Perhaps the issue is not one of standards but one of resourcing. This year, I predict, will demonstrate just who really has the mandate for the education of our children. I wait with eyes and ears open.

NCEA and Numeracy Standards. First the numeracy consultation. This needs to be done by Feb 15th. Read the comment first and then download the standards as you need them. I made a comment about these in my newsletter.

A little resource to help practice being multiplicative. Mult Sudoku. I am making up a few more of these. They are good fun and involve the mult ideas as well as logical thinking. Very nice adaption of sudoku.

I see the PHughes guru was in the news again. Here is the numeracy test he was using. See how you go. Better....get your whole school, staff and groundspeople to do it. How many in your school are numerate, according to PH?

Otago Mathematical Association Conference Files July 2009
What wonderful  hosts you all are! I did enjoy giving the keynote on modelling and was pleasantly surprised by impact it seemed to generate. Thank you.
Here are all the files I used and a few others.
1. Keynote, Models and Mathemamatics, OMA 16/7/09
2. Workshop, Doing Numbers, Doing Mathematics, 16/7/09 and a support .doc
3. Workshop 1 from previous day, Connections. 15/7/09.
4. Workshop 2 on 15/7/09 could have been better! Here are three files that may well help. Counting Problems, Problem Solving Checklist, Problem Solving Powerpoint.
5. Extras...There was talk of Rich Mathematical Tasks, here is a powerpoint.
6. The Tukutuku patterns are definitely worth investigating and used to develop algebra. I would do them differently but here is a start.
7. How the Brain Learns is curious and may be of interest. I picked thsisup somewhere.
8. Our SNP project has this Algebra Powerpoint to use.
9. Lastly the UK Numeracy Project is full of excellent resources and ideas. Here is a .zip of the Year 7 to 10 work. Huge resource. If your local server does not like .zip then just email for a disk to

Just for Wendy. The "secret" NZC Files are here. I have finished NA Level 3. Now doing Level 4 and I will probably never finish! Are these useful?

I managed to wreck the links while updating the webpage last week and everything defaulted to Darn. I will however turn this clumsiness into a revised web resource which is hopefully better. There may be double ups.
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