Search Mathematics Centre ... Big Picture ... News ... Research & Stories ... Cube Tube ... Indigenous Students ... Web Papers ... Contacts ... Site Map

Professional Development ... Working Mathematically ... Mathematics Task Centre ... Calculating Changes ... Picture Puzzles ... Maths300

Resources & Ordering ... Poly Plug ... Task Cameos ... Menu Maths ... Maths With Attitude ... Working Mathematically with Infants ... Sphinx Album

 

News

April 2020

In this edition of the News you will find:

Red Square  Maths At Home Support

Red Square  Get to Know a Cameo
     ... Jumping Kangaroos
     ... Square Pairs

Please feel free to distribute this information.

Email News Services
If you would like to subscribe please send an email request to: doug@blackdouglas.com.au:
  • In the subject line write Subscribe Maths.
  • In the body of message state which divisions you want to subscribe to, or simply write Subscribe All.
  • Add your name and preferred email address.
Update messages are sent from:
Mathematics Centre monthly
Calculating Changes each term
Working with Mathematics Centre
will help you find your way around our site
Browsing Hint
Use the View/Zoom options of your browser to 'move' the page closer or further away. Ctrl +, Ctrl - and Ctrl 0.
Green Line

  • Maths At Home Support

    A little over three weeks ago we started Maths At Home to support learners, parents, teachers and schools caught up in school closure. The site is for K to 10 and we have had an encouraging response from within Australia and overseas.

    • Maths At Home is totally public and designed to supplement anything you are providing.
    • Basically we thought it might save you a bit of work.

    We are passing the 'home schooling' lens over Mathematics Centre and choosing activities that can be successful learning launch pads in the home environment. Then we are presenting them on the assumption that the youngest learners will have an older learning partner and learners in later year levels will be more independent. There's 24 rich activities available at the moment which means at least 2 or 3 for every level. The Activity Library lists the range of year levels at which the activity has been used and brief content details. The content list covers all the corresponding year levels, so it doesn't imply that all the listed content is appropriate for the broad range of learners who may be accessing that activity.

    An extra feature is that each activity provides gallery space to display photos and comments from families (or other users). Two families have already contributed to the K/1 activity Ten Friends.

    Over to you. Use the resource as you want ... or don't use it all. It's there to help. If you think it is valuable feel free to send the link on through your professional and social media networks.

    However, we ask that every teacher and every family that uses the site registers their email address. How to do that is explained on site. Why?

    • So that we get some sort of measure of its value.
    • So that we can keep users informed of new activities.

    See Link List below for the web address.

  • Get to Know a Cameo

    Task 182, Jumping Kangaroos
    This is a wonderful puzzle that requires no mathematical content knowledge for its solution. To solve it requires no more than a systematic approach to the movement of the 'kangaroos'. However, it becomes mathematically richer when the underlying algebra behind the moves can be explicitly recognised and explored.

    Students are encouraged to work out the number of moves required for different numbers of kangaroo discs and to look for patterns as the number of discs increases. This allows them to make predictions for even higher numbers of 'kangaroos' on either side. The pattern of moves yields an unexpected number pattern, which perhaps even more unexpectedly, reveals a quadratic relationship for those who dig deeper.

    The cameo includes an Investigation Guide with answers and discussion, two student reports - one primary and one secondary - presented for assessment, video sequences of teachers lunching with Jumping Kangaroos and a historic find.

    In the eTask Package this task is in the 'easy to make' set because it only needs 10 objects (five in each of two colours) to stand for kangaroos,

    Task 216, Square Pairs
    One of the interesting things about this challenge is that it was first suggested for student use by the two mathematicians who solved it in 1999. The task is exactly the problem the mathematicians tackled and they saw value in it, among other things, for helping students learn how to construct proofs.

    The challenge is simply stated. If you have a list of numbers from 1 to any even number, can the numbers in the list be paired with each other so that the total of each pair is a square number. Hence the title Square Pairs. Yes it was the real, paid work of mathematicians to work on this problem and they discovered that in the infinity of possible lists like this, there are exactly seven that don't work.

    After students find one list that does work and one that doesn't, they are introduced to the challenge of finding the miscreant seven and being able to explain why each one doesn't work.

    The cameo includes an excellent idea for introducing the challenge in a whole class lesson, and links the problem to a video titled 'An Ocean of Possibilities' that suggests it's time to stop teaching mathematics and start providing environments in which students are learning to work like a mathematician.

    In the eTask Package this task is in the 'easy to make' set because it only needs twenty tiles numbered from 1 to 20.

Keep smiling,
Doug.
Green Line

Link List

  • Did you miss the Previous News?
    If so you missed information about:
    1. Release of Maths At Home
    2. ...and more...

Did You Know?

Green Line

Previous News

February 2020
December 2019 ... November 2019 ... September 2019 ... July 2019
June 2019 ... May 2019 ... April 2019 ... March 2019 ... February 2019
December 2018 ... November 2018 ... October 2018 ... September 2018
July 2018 ... June 2018 ... April 2018 ... March 2018 ... February 2018
December 2017 ... November 2017 ... October 2017 ... August 2017
July 2017 ... June 2017 ... May 2017 ... April 2017 ... February 2017
December 2016 ... November 2016 ... October 2016 ... September 2016 ... August 2016
July 2016 ... June 2016 ... May 2016 ... March 2016 ... February 2016
November 2015 ... October 2015 ... September 2015 ... August 2015
July 2015 ... June 2015 ... May 2015 ... April 2015 ... February 2015
Dec. 2014/Jan. 2014 ... November 2014 ... October 2014 ... September 2014 ... August 2014
July 2014 ... June 2014 ... May 2014 ... April 2014 ... March 2014 ... February 2014
Dec. 2013/Jan. 2014 ... November 2013 ... October 2013 ... September 2013 ... August 2013
July 2013 ... June 2013 ... May 2013 ... March 2013 ... February 2013
Dec. 2012 / Jan. 2013 ... November 2012 ... October 2012 ... September 2012 ... August 2012
June/July 2012 ... May 2012 ... April 2012 ... March 2012 ... February 2012 ... January 2012
December 2011 ... November 2011 ... October 2011 ... September 2011 ... August 2011
July 2011 ... June 2011 ... May 2011 ... April 2011 ... March 2011 ... February 2011
Dec 2010/Jan 2011 ... November 2010 ... October 2010 ... September 2010 ... August 2010
July 2010 ... June 2010 ... May 2010 ... April 2010 ... March 2010 ... February 2010
Dec.2009/Jan.2010 ...November 2009 ... October 2009 ... September 2009 ... August 2009
July 2009 ... June 2009 ... May 2009 ... April 2009 ... March 2009 ... February 2009
Dec.2008/Jan.2009 ... November 2008 ... October 2008 ... September 2008 ... August 2008
July 2008 ... May/June 2008 ... April 2008 ... March 2008 ... February 2008
Dec.2007/ Jan.2008 ... November 2007 ... October 2007 ... August/September 2007
... July 2007 ... June 2007 ... May 2007 ... April 2007 ... March 2007 ... February 2007
Dec. 2006/ Jan. 2007 ... November 2006 ... October 2006 ... September 2006 ... August 2006
July 2006 ... June 2006 ... May 2006 ... April 2006 ... March 2006 ... February 2006
Dec. 2005/ Jan. 2006 ... November 2005 ... October 2005 ... September 2005 ... August 2005
July 2005 ... June 2005 ... May 2005 ... April 2005 ... March 2005 ... February 2005
Dec. 2004/Jan. 2005 ... November 2004 ... October 2004 ... September 2004 ... August 2004
July 2004 ... June 2004 ... April/May 2004 ... March 2004 ... February 2004
December 2003 ... October 2003 ... August/September 2003
July 2003 ... June 2003 ... April/May 2003 ... March 2003 ... February 2003 ... January 2003
December 2002 ... November 2002 ... October 2002 ... September 2002 ... March 2002
December 2001 ... October 2001

Continue exploring our history back to July 1992 through the Sense of History link.

Green Line