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Google now graphs equations, just like wolfram alpha

May20
2012
Leave a Comment Written by Joshua Harnwell

Having the unified search field in google for images, websites or just about anything just got better. We knew previously that google would complete simple numerical calculations – the “google calculator”.

 

You can now graph functions from the google search box. Just put a comma between the functions.

 

 

Posted in web2.0 - Tagged google, wolframalpha
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Things to think about before flipping… Not flipping? — Some thoughts on homework

Apr21
2012
Leave a Comment Written by Joshua Harnwell

Freetech4teachers has recently cautioned about introducing the flipping model. http://www.freetech4teachers.com/2012/04/three-questions-to-consider-before-we.html

 

Rather than introducing a full-flip model, we just need to rethink homework. What do we want students to be doing at home? What would your best student be doing at home? Here are some thoughts

  • Consolidation – quality, not quantity
  • Assignments/Assessments
  • Preparation

The third of these – preparation is where flipping comes in. We want our students to be preparing for lessons in advance by reading ahead (or watching videos). Surely if our students have a basic knowledge of the content that can be filled out in class, they will benefit.

 

What are your thoughts? Do your students read ahead?

 

One other thought on homework is that my best students actually spend time correcting their work and finding the parts of content where they do not completely understand.

 

 

 

Posted in Current Issues - Tagged flipping, homework
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The new General Maths Syllabus from 2013 – why they decided to introduce it and where to find the new syllabus.

Apr18
2012
1 Comment Written by Joshua Harnwell

The Board of Studies issued a notice on 12th March which can be accessed here. It seemed like a very hurried announcement with no clear direction. Here is what we know:

  • The Board of Studies wrote the General 1 and General 2 Syllabus (as well as three new calculus mathematics syllabi) back in 2009.
  • At a MANSW Annual Conference in 2008 I asked the question of whether the BOS was planning on making schools write new program’s for NSW and then new ones within “a few years” for the National Curriculum (now Australian Curriculum) as it was in the works by ACARA.
  • The Board of Studies completed these documents but recommended to the minister that they not be implemented (due to ACARA in my opinion).
  • Schools could implement the General 1 course from 2010?? (from memory) as a Board Endorsed Course (not count towards ATAR)
  • Then… The implementation of the F-10 Australian Curriculum got delayed… Until 2014 at this stage, if it ever gets implemented
  • The 11-12 Maths Curriculum seems to be on hold with little information coming out of ACARA on this.
  • 2012 – New HSC Examinations in all Maths courses (including General Maths – for one year???)

So the question has arisen – Why has the Board of Studies decided this year to suddenly implement General 2 as a Board Developed examinable course, which counts towards an ATAR? At the same time General 1 has an elevated status of a Content Endorsed Course, non-examinable and not count towards an ATAR. The 3 Calculus developed courses have been ignored.

 

The new syllabus was due to be published by the “end of Term 1″ but we haven’t seen it yet. If you’re keen to see the new syllabus then visit this link: http://www.boardofstudies.nsw.edu.au/archives/syllabus_hsc/pdf_doc/mathematics-general-2-stg6-draft.pdf

 

Posted in Australian Curriculum, Current Issues - Tagged Australian Curriculum, Board of Studies
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“The Code” – SBS On Demand great for teaching circles, pi, SHM, prime numbers and more!!

Feb18
2012
2 Comments Written by Joshua Harnwell

This tv program follows a mathematician as he seeks to discover the ‘code’ of numbers hidden in the world. The fantastic way that God has made the world so that all the numbers work together so beautifully.

This documentary is very well put together and I would be very happy to show relevant sections to my students.

The first half of this program looks at:

  • Prime numbers
  • simple harmonic motion – music
  • Circles
  • Pi is irrational

Click Here to access the program on SBS On Demand (for the next 9 days)

 

Posted in Multimedia, Number - Tagged sbsondemand, video
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A new use for mathematics – to put you to sleep?

Feb17
2012
1 Comment Written by Joshua Harnwell

Sometimes us mathematicians get a bad rap.

 

“what do you do?”

 

“I’m a maths teacher.”

 

“oh, I didn’t like maths at school”

 

 

Had that conversation before? Checkout life hacker who suggests using numbers as a cure for insomnia.

 

http://www.lifehacker.com.au/2012/02/do-some-maths-if-you-have-trouble-fallingasleep/#.Tz4jFVRIqKI.mailto

 

 

Posted in Current Issues
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Convert web pages to PDF files from laptop or iPad to save for later – 2 tools

Jan03
2012
1 Comment Written by Joshua Harnwell
As I am using my iPad more and more often, if I want to archive a site and keep a copy of it, it is difficult to copy the text and pictures out and put it into a word document – which is what I would do on my laptop. 
 

  1. Use http://www.web2pdfconvert.com – simply enter the URL of the page you would like a PDF from and it will convert for you (I have had some problems getting the PDF back using this method from my iPad)
  2. Web2pdfconvert has an email option. Simply send an email to submit@web2pdfconvert.com with convert as the subject and the URL in the body of email. The PDF of the web page gets emailed back to you within a couple of minutes (this is good for storing them in the archive of a gmail account, or to review later when you get to a laptop and access your email. You can also use the “open in…” function as described below)  
  3. There is an iOS app that simplifies the process. Url2pdf is a very simple app and only includes a field to enter the PDF and a button to start the convert. It opens the pdf in safari once it has converted it.  

 
 
I then save these files to Dropbox. Dropbox is online storage. You can access files directly from your mac, pc, iOS or android device. You can also seamlessly transfer files between these platforms. You get 2GB for free. 
 
 
If you don’t have a Dropbox account, click here to sign up (you also give me a small amount of extra space if you use this link) 
 

Posted in iOS, web2.0
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Shikaku – a great game to investigate areas of rectangles. Online flash or iOS app! Is this the new sudoku?

Dec29
2011
Leave a Comment Written by Joshua Harnwell
 

I recently read this post over at Mathing… about Shikaku. Being the Christmas holiday break, i like to have a few puzzles to do while relaxing. I love this new game.

 

Rules:

  • Each number must appear in one and only one rectangle.
  • You must use enough rectangles to fill the playing board.
  • The number in a rectangle is the area of the rectangle (or number of squares that it takes up). E.g. a 10 could be in a 1×10 or 2×5 rectangle.
 

You can go to this flash site to play online, but given that I am using my iPad more than a desktop these days (a non flash friendly device) I had to search for an iOS app and have come up with the following free app: Shikaku that has about 20 free puzzles. There are also some additional puzzles, they come at a price of 50 for $2.99 e.g. Shikaku #1

 

Application to Teaching This would be an excellent activity to investigate areas of rectangles with a Year 7 class. You could also look at potential links between area and perimeter. Students could come up with their own modified game where numbers represent perimeters.

 

Posted in iOS, Measurement - Tagged flash game
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Microsoft Word plays friendly with inking again – here’s my fix to ‘delete all ink’.

Dec10
2011
1 Comment Written by Joshua Harnwell

When Microsoft launched Office 2010, they destroyed inking in Word. I use a Toshiba Tablet PC (a must for any mathematics teacher!)

It allows me to create my worksheets (topic-based booklets) in word and then write directly on the screen with my toshiba supplied pen. I turn the pen over and it is an eraser (like an old fashion pencil) — this ease of erasing was broken in the initial release of 2010, but now it’s fixed!

Now there’s just the problem of not being able to delete all the ink in a document. Thankfully there is a fix for this problem to get that button back. Just watch the short video below.

Posted in Technology - Tagged microsoft, office2010, word2010
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Using Geogebra on the spur of the moment with your class – resources to come!!

Nov27
2011
Leave a Comment Written by Joshua Harnwell

There are two main ways that Geogebra can be used in the classroom. The first way, and potentially the most powerful way is what has been referred to as “The incidental use of Geogebra”.

You do not need any preparation for using Geogebra in is manner and it is also more student focused than the more traditional approach.

Example:

  1. Students graph the equation y = 2x + 1.
  2. Change the 1 with some other numbers to see what happens to the original graph
  3. repeat the above process with the graph y=x²
    And xy = 2 to confirm or modify your original hypothesis

In a very short space of time, students can quickly understand that if add a constant to a function, the function moves vertically by that constant.

Pros: Little preparation required, students gain a good understanding as they are manipulating the graph themselves

Cons: The teacher has to relinquish some control to the students, all students must have access to Geogebra (or at least one between 2)

Resources for Geogebra

The second use of Geogebra is prepared resources that the teacher can project onto the whiteboard (IWB) may be beneficial, but not necessary. (I’ve posted previously about how to use an IWB, if you don’t have one and also how to use a stylus on your computer to make it a tablet)

Stay tuned for some prepared resources over the next few days.

Posted in Algebra, Geometry, Technology - Tagged Geogebra
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YouTube channel devoted to numbers: Numberphile

Nov21
2011
Leave a Comment Written by Joshua Harnwell

YouTube has launched a channel focused on numbers and they’re paying creators of content.

Numberphile video about number 11, marking the last binary day of a generation: 11.11.11.

Follow Numberphile on Facebook at http://www.facebook.com/pages/Numberphile/116862298423181
Numberphile tweets at https://twitter.com/#!/numberphile
Videos by Brady Haran

Check out the most recent video here:

http://www.youtube.com/numberphile

Posted in Technology
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