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News

September 2020

In this edition of the News you will find:

Red Square  Working Mathematically with Viruses

Red Square  3 New Cube Tube Videos

Red Square  Little Treehouse Book Collection

Red Square  Victorian Teachers

Red Square  Get to Know a Cameo
     ... Number Tiles
     ... Garden Beds

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  • Working Mathematically with Viruses

    This is a totally new lesson sequence for Years 8 - 12 (perhaps younger) which provides opportunity to work like a professional mathematician in a context we now realise is of world-wide importance. The sequence developed from an initial set of successful lessons presented by Aaron Peeters at Manurewa High School, New Zealand. Freely available from Maths At Home (see Link List below), the sequence can be used as an independent learning resource for students, a source of teacher-guided project work, or as a 'road map' for whole class lessons.

    Video, hands-on and visual learning, Excel software and unfolding challenges encourage the learner into mathematical modelling. Students not only discover mathematical patterns behind the way new viruses work, but gradually develop expertise with software tools that help them step into the world of the health authorities who have to manage transmission in the community.

    Stimulated by video to explore a physical model first, students then tabulate and graph their own data before interacting with a sequence of spreadsheets designed by Ian Lowe.

    They learn about the Reproduction Factor (R) of a virus and are able to vary it to determine the effect, always being reminded that the actions of the human population is what manages the virus. The virus doesn't change its R value of its own accord.

    The mathematics content is extensive - as straight forward as times tables right through to mature use of formulas, equations, graphs and composite functions.

    See Link List below for the web address of Maths At Home, or visit Mathematics Centre and take the link in the banner at the top of the page.

  • 3 New Cube Tube Videos

    The three stimulus videos from the Working Mathematically with Viruses link have been mounted on Cube Tube, our YouTube channel. To some extent each stands alone. They work better as a sequence. They work best of all embedded in the lesson sequence for which they were recorded.

    Look for these title cards on either Cube Tube (see Link List below) or search YouTube.

                 

  • Little Treehouse Books Collection

    While we are thinking about the value of contextual learning, Damian Howison, St. Mary MacKillop, Swan Hill, has shared his idea about making use of a current supermarket promotion based around these books:

    In my year 7 class I have taken advantage of the Little Treehouse Books collection that Coles supermarkets have been using in their latest promotion. I based it on the ideas in the Famous Mathematicians lesson from Maths300. A highlight for me was using a Google sheet to have students input their results into the same spreadsheet at the same time and watch the histogram take shape before their eyes. On another sheet, they experiment with different sized collections to see how many trials might be necessary - sharing their data again to produce a scatter plot.

    We started with a collection size of 6. Coles advertises 24 books to collect, which some students had a go at, and one student even sat down after the lesson was over and did an experiment for a collection size of 60!

    This whole remote-learning thing has definitely pushed and furthered my skills with the technological tools available

  • Get to Know a Cameo

    Task 43, Number Tiles
    A classic number task that captures most learners with the apparent simplicity of its challenge. Using only the digits 1 to 9 it is possible to make 2 three digit numbers which add to make a 3rd three digit number. Each digit will be used only once. Addition facts and an understanding of place value and the addition algorithm are the starting points. However, when students discover more than one solution, the problem opens up with the questions How many solutions are there? and How do we know when we have found them all?. At first it's about searching for patterns or connections between the growing collection of solutions. Then developing and testing hypotheses.
    Eventually the strategies of breaking the problem into parts and testing every possible case come to the fore as the challenge becomes more sophisticated. With more experienced students the deductive method of 'reductio ad absurdum' can be explored.

    In the eTask Package this task is in the 'easy' set because the equipment is only 9 square tiles, which are available in most schools, or an equivalent.

    Task 147, Garden Beds
    Packaged within a totally accessible storyshell, this practical. physical representation of a garden with a border is an entry into every aspect of linear algebra - creating and solving equations, equivalent algebraic equations, graphing linear equations, symbolic representation and more. Yet, as revealed in the cameo, it appeals, through its concrete model, to learners in Year 2 who find within it visual and number patterns and the fascination of what they see as large numbers. They too are 'doing algebra', but there isn't an x or y to be seen.

    In the eTask Package this task is in the 'easy' set because the equipment is only square tiles in two colours, which are available in most schools, or an equivalent. For example, in the cameo Year 2 students can be seen using 1cm plastic cubes.

Keep smiling,
Doug.
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Link List

  • Did you miss the Previous News?
    If so you missed information about:
    1. Victorian Teachers
    2. New Maths At Home Activities?
    3. New Cube Tube Video
    4. Get to Know a Cameo
      ... Tricube Constructions A, Rectangle Fractions

Did You Know?

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