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News

November 2019

In this edition of the News you will find:

Red Square  December Conference Workshops

Red Square  Get to Know a Cameo
     ... Cars In A Garage
     ... Rod Mats & Make The Whole

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  • December Conference Workshops

    Registration for the MAV December Conference closes on November 18th (see Link List below). Once again we are offering a range of workshops reflecting the depth and breadth of the success stories we have gathered from classrooms. Perhaps you would like to join a session or two. The list below will help you find us among the scores of other fantastic sessions. The photos are from our MAV sessions in recent years.

    B16 ... Exploring eTasks ... 2-10
    Scores of schools across Australia, and beyond, have begun creating their own Task Library using eTask masters and their own materials. Why? A Task Library resources development of reasoning, communication, justification and problem solving skills in the context of learning to work like a mathematician. Tasks can be used in pairs, small groups or as stimulus for whole class investigations. They are supported by a massive collection of teaching notes and other support freely available through Mathematics Centre and the eTask Package supports you to run your own introductory workshop. Come, explore, consider.

    C31 ... Learning Fractions with Picture Puzzles ... 2-8
    This session offers a differentiated, multiple intelligence approach involving seeing, touching, saying and recording fractions in natural language. The approach precedes, and strengthens fluency with, the symbolic fraction form. We will use Cuisenaire Rods in an introductory activity-based discussion, then partners will use Picture Puzzle challenges to explore further. You will need a web-connected device which opens PDF to use with a partner. We will begin to learn to 'seek the whole' when attempting to solve any symbol or word based fraction exercise. You will also discover that you can make your own Picture Puzzles.

    D10 ... The Pedagogy of Picture Puzzles ... 3-10
    One screen, two learners, concrete materials and a challenge - that's at least three pedagogical decisions right there. Here's another one. Screens of choice for kids are more likely to be dominated by pictures than words. Maths education screens are often more symbols and words than pictures. However, Picture Puzzles have more pictures than words, multiple levels of content, encourage mathematical conversation and Working Mathematically. Mathematics that's concrete, visual and makes sense is presented in menus offering students choice. Explore Picture Puzzles from Mathematics Centre and learn to create your own. You will need a web-connected device which opens PDF.

    E34 ... Learning Algebra with Picture Puzzles ... 4-10
    Picture Puzzles use one screen, two learners, concrete materials and a challenge. Like a mathematician, the work begins with an interesting problem. The resulting mathematics learning is concrete, visual and makes sense. Each puzzle can guide a whole class investigation or be offered in a menu from which students choose their own investigation. The workshop will explore both ways and you will learn to create your own puzzles. This resource is not intended to embody the entire algebra course, but it will add variety to your current approach. You will need a web-connected device which opens PDF.

    G32 ... Algebra Through Geometry ... 5-8
    A square is X. A quadrant with a radius the same length as a side of the square is Y. Now geometry connects to algebra. The concept of a pronumeral, adding and subtracting like terms, the distributive law and linear factorisation all follow, mostly by asking the mathematicians question: "Can I check this another way?". You will be using materials based on the work of Geoff Giles and, with a partner, will dig deeper and deeper into spatial challenges that can be expressed in algebraic terms. You will also be supplied with a master to make copies for your own classes.

    H31 ... Crib Points ... 1-6
    Crib Points is a card game based on scoring the 400 year old game of Cribbage which still holds championships. It involves heaps of counting, counting on, addition facts, mental arithmetic and group counting to collect points. It also generates higher level maths questions. You will be introduced to the game, have time to play and will see reports from Year 1 and Year 3. Crib Points prepares the way for Cribbage in later years, which has even more ways to collect points, and that link will also be explored. A bit of fun with a lot of potential to grow fluency.

    I22 ... Luke's Fraction Game & a Practical Fraction Unit ... 2-7
    Luke was a six year old when he invented this game which has since been used at several levels. It's nutty in a way, but it works. It's where the workshop will start, then we will explore more activities teachers have used to build significant, successful and practical fraction units at various levels. There is much more in their work than can be absorbed in the session, so you will be provided with links to Mathematics Centre where their experiences are recorded. As one of the teachers writes: " My practice has changed immensely! ... It is amazing and IT WORKS!"

    J01 ... Connecting Mathematics Through Rectangles & Squares ... 4-10
    There is too much mathematics linked to rectangles and squares to explore it all in one session, but at least we will find our way from rectangles to squares ... to square numbers ... to square roots without a calculator ... to area of circle without pi. On that pathway we should be able to take in long multiplication and a bit of algebra. The expectation is that there will be something new and intriguing for everyone. If time is available we can point the way to other related topics such as patterns and Pythagoras.

  • Get to Know a Cameo

    Task 2, Cars In A Garage
    Three different cars to be parked in three adjacent garages. How many ways can this be done? Can you check it another way? How do you know when you have found them all? What happens if it's four cars in four garages?...
    Easy to state, easy to start and a level of success for everyone from counting, to pattern, to algebra all in the context working like a mathematician to explore, record, discuss, question and communicate results. Links to videos of students explaining their work and sample journal pages. Even a suggestion from one teacher of how the problem can be used to illustrate the need for Standard Form notation.

    In the eTask Package this task is in the 'easy to make' set because it only needs 4 toy cars.

    Task 202, Rod Mats & Task 203, Make The Whole
    A set of Cuisenaire Rods is a magic tool for exploring fractions because none of the pieces is marked with a length or a number. Therefore any one of the rods can become the whole for a Rod Mat. A Rod Mat is made from the whole and then all the rows of other rods which can make the whole length using rods of the same colour. The example on the card is for Brown being whole.
    From here students see, touch, say and record fractions in the mat, equivalent fractions and equations connecting the rods. The possibilities are more or less endless and include asking: What happens if we use two of these wholes? and What happens if we change the whole and build a new mat?

    The language is natural and based in a concrete, visual, kinaesthetic experience. Links are made to Picture Puzzles and a fraction unit prepared by a teacher which support and extend this approach. Make The Whole uses the same teaching craft in a game situation, thereby adding another learning feature. The two tasks can be used in either order.

    In the eTask Package these tasks are in the 'special' set because they require Cuisenaire Rods which is specialised equipment. However if you already have this equipment, Rod Mats instantly becomes 'easy to make' and Make The Whole moves into the 'more work' category because it requires a little extra printing, laminating and cutting.

Keep smiling,
Doug.
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Link List

  • Did you miss the Previous News?
    If so you missed information about:
    1. Aaron from Kangaroo Island
    2. Ulla from Sweden
    3. PD Planning
    4. Get to Know a Cameo
      ... Nim & Arithmagons 1 & 2
    5. ...and more...

Did You Know?

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