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    • Conferences ›› Maths Counts 2018

    Maths Counts 2018

    What a brilliant two days of Maths teaching and learning Maths Counts 2018 proved to be. Close to 500 people attended over the two days to celebrate the work of the hundreds of Irish Maths teachers who participated in PDST’s Lesson-Study programme throughout 2017-2018. Some highlights of the event included:

    • Live lesson by international expert in teaching through problem solving – Prof. Tad Watanabe
    • Keynote address by Prof. Watanabe celebrating the success of the Irish Lesson-Study programme and pointing the way to its future growth and development
    • Three live lessons by Irish maths teachers who participated in Lesson Study 2017-2018
    • 24 interactive workshops by Irish Lesson-Study teachers
    • Poster Display comprising the work of 70 Lesson-Study research groups
    • Closing address by JCT Team Leader for Maths – Shane Flanagan
    • Live streaming of Prof. Watanabe’s lesson and keynote address
    • Exhibits by a variety of Irish Education companies

    Thank you to everyone who attended.

    Professor Tad Watanabe’s Live Teaching and Keynote Address

    Prof. Tad Watanabe wowed students and teachers alike with his problem-solving lessons on fractions. Tad brought the students of Ardee Community College on a fascinating journey, starting with comparing fractions, through to proving that there are an infinite number of fractions between any two fractions. In the course of the journey students grappled with the process of mathematical proof, all the time practising their skills for manipulating algebraic fractions and reasoning as to the properties of different fractions. After finishing his lessons, Tad attended the live lessons and interactive workshops delivered by our Irish Lesson-Study teachers and commented on the high standard of all the work he saw.

    Irish Maths Teachers Teaching Live

    After breaking new ground in 2017 with live problem-solving lessons by Irish teachers, Maths Counts 2018  again showcased three live lessons developed through our Lesson Study programme. Teachers from Coláiste na Tóirbhirte, Ardee Community School and Coláiste Éamann Rís, Callan taught their research lessons live to groups of students from their own school – all for other teachers to see. It was brilliant to see the huge amount of planning come to fruition in an inspirational hour of teaching and learning. We hope that all teachers present enjoyed the chance to watch somebody else teach.

     Interactive Workshops

    We had 23  workshops presented by teachers at Maths Counts 2018, outlining their experience of using Lesson Study for their CPD and of teaching through structured problem solving. The quality of presentation was incredibly high and it was great to see  teachers discussing their approaches to teaching each topic and the common problems students present with in the classroom. Every workshop concluded with a question and answer session where teachers got the opportunity to ask the presenter about participating in the Lesson-Study programme.

    Teachers’ Poster Exhibition

    The huge amount of work undertaken by teachers involved in the 2017-2018 Lesson-Study programme was highlighted by the extensively display of posters which outlined the work of each research group. Each group got the chance to take their posters with them back to their schools. Well done to everybody who presented a poster.

    Lesson-Study Library

    Check out all the problem-solving lessons developed by teachers in our Lesson-Study Library below including 70 new lesson proposals developed over the course of 2017-2018.

    Lesson TitleDescriptionStrandYear GroupLevel
    Divide and ConquerUnderstanding long division of polynomials,
    Step by StepStudents use physical manipulatives to …
    What’s the point?Students make connections between linear …
    What’s The Meaning Of Z-scoresStudents build on their prior …,
    Top Dog AreaStudents deduce different shapes from …, ,
    Simultaneous ShapesStudents progress from the concrete, …,
    Missing In ActionStudents use the idea of …,
    Looks Different, Same ValueStudents develop a deeper understanding …,
    Explain that FormulaStudents explore properties of 3-dimensional …
    Across the divideStudents work on real life …
    It’s Show TimeIn this lesson, students will …
    What’s your Angle?Pupils will be presented with …,
    Percentage ParadoxStructured problem solving lesson involving …
    A Pizza of the (Fr)ActionStudents are given a problem …
    What about ParallelogramsExploring properties of parallelograms using …
    Thinking Outside the TriangleUsing a given diagram to …
    The Volume of MoneyThrough discovery, students derive the …
    The X FactorExploring different ways to represent …
    The Power that Lies BeneathUsing Assessment for learning techniques …
    The Array ModelUsing the Array Model to …
    Straight to the nth GameUsing a problem question to …
    Show Me the MoneyDiscovering the different measures of …
    Scrutinizing the Difference between Two SquaresThis proposal uses the concepts …
    Run Johnny Run, Maths To The RescueUsing prior knowledge of triangles …
    Point Of Pick-UpUsing prior knowledge of algebra, …
    Place Your PixUsing the problem of placing …
    Matchstick ChallengeThis lesson is based on …
    It’s Show Time,
    In The AirUsing a word problem to …
    How Big Is Pi?Using varying circles to discover …
    Getting To The Problem Of The RootIdentifying relationships between quadratic equations, …
    Get UnsnookeredUsing a mix of Geometry, …,
    Forthnightly MathsIn a computer game context, …
    Express My PointStudents will be introduced to …
    Equating Fortnite-lyUsing word problems in algebra …
    Disco TaxiUsing a word problem to …
    Circling LongitudeA real life scenario of …
    Car Savings ConundrumStudents act as a financial …
    Basket CaseIntroducing simultaneous equations through word …,
    All Aboard Quadratic AirlinesThis lesson provokes students understanding …
    A Journey in FinanceModelling a financial problem using …
    2 or not 2x that is the questionThis lesson provides a physical …
    A Step in the Right DirectionThis lesson introduces students to …
    Who is being Irrational?After calculating some distances using …
    When Area is 64Students are presented with an …
    What’s your Angle?Through exploring relationships in triangles, …
    Untangles the AnglesUsing various methods students will …
    Unpacking 3D ShapesStudents will examine a square …,
    Transversals are CopycatsGiven a diagram with three …
    Top of the VlogsStudents will present two sets …,
    Time for TellyStudents will learn to deal …
    The Trapezoidal RuleStudents will engage with a …, ,
    The Story of Two DronesStudents will be asked to …,
    The Story of the GannetStudents will describe the story …
    The Integers CupStudents will develop understanding of …
    The Great Wall of NenaghProblem solving approach to link …, ,
    The Grand RationalStudents are given an algebraic …
    The Ex FactorThrough a problem-solving approach, students …
    The Balancing ActIntroducing Simultaneous Equations through problem …
    The Formula Speaks VolumesStudents will explore the volume …
    The Flow of MoneyStudents will try to solve …
    Takeaway TranslationIn this lesson students will …
    Subway SubstitutionStudents are presented with a …
    SnowflakesStudents will be challenged to …
    Simultaneously solving for two variablesStudents will be given two …
    Similar Triangle WrangleStudents will be using dotted …,
    Shootin’ HoopsStudents will be provided with …,
    Sharing the UnknownStudents will understand the need …,
    Run Circles Around PythagorasStudents will be asked to …,
    Pump Up The VolumeStudents will use various strategies …,
    The Power of AlgebraStudents will be presented with …
    Plane ClothesStudents solve a problem on …, ,
    Percentages PredicamentStudents tackle a percentage increase …
    Paving PatternsStudents are encouraged to examine …, ,
    Patterns in PolygonsStudents use their prior knowledge …,
    Partying with IndicesThrough an exponential growth problem …
    Paper RatioStudents will be given A3, …
    MurlingStudents will work with a …,
    Multiplying Messi’s MillionsIn this lesson students will …
    Monkey PuzzleStudents develop an understanding of …
    Meet You HalfwayStudents are given a photograph …
    Make-Up MoneyStudents will solve a problem …, ,
    M.M.A. Mixed Mathematical ApproachesStudents will formulate the area …,
    Kevin’s Cash ConnundrumStudents will show in many …
    Katie versus Conor – Who will win?Students explore probability and relative …,
    Justifying your ThinkingStudents are challenged to explain …
    It’s Thirsty WorkStudents will learn to interpret …
    It’s a Matter of PrinciplesStudents investigate the rate of …
    It’s Moore of a ProcessStudents investigate Moore’s Law in …,
    How much is the special Offer?Students will be presented with …
    Heavenly SlopesStudents will engage in structured …,
    Going underground on a Roller CoasterStudents are introduced to quadratic …,
    Fractions meet AlgebraStudents will learn to apply …,
    Elf on the ShelfStudents will use their knowledge …,
    Diving for RootsStudents are introduced to quadratic …,
    Dining Out – Who Gets your Money“In this lesson students will …
    Cuir Cruth AirTrí a bheith ag plé …, ,
    Cover the Distance FasterStudents apply their knowledge and …,
    Count like an EgyptianStudents are given a problem …
    Box BonanzaStudents work on the problem …
    Baby it’s cold outsideThe aim of this lesson …,
    Are we there yet?Students are encouraged to solve …,
    Are you up for the Match?The aim is for the …
    Are Circles PointlessIn this lesson students will …,
    Getting Value for MoneyStudents will try to solve …
    Angles to find the TreasureThe students will be given …,
    2D or not 2D?The lesson focuses on students …,
    2D to 3D… That is the Question?Students will be presented with …, , , , , ,
    Prof. Takahashi’s Lesson ProposalThrough a series of problems, …,
    Introducing Differential CalculusDeveloping an understanding of key …
    The Polygon PredicamentConnecting multiple mathematical topics to …, , , ,
    The Perfect SelfieUsing geometry and trigonometry to …,
    Developing Frieda’s FieldDeveloping the formula for the …,
    Enter the MatrixSolving a multi-variable problem using …
    The General Term of a Quadratic PatternUsing multiple strategies to develop …,
    Heading for TroubleLearning how to deal with …
    Navigating an Ash CloudDrawing on algebra, geometry and …, ,
    The Water RocketAnalysing quadratic relationships using multiple …, ,
    What makes a ParallelogramUsing trigonometry & geometry to …,
    Tick Tock – Area of an IncircleUse the properties of an …,
    Seeing through the DabApplying trigonometry to solve a …,
    Decoding De MoivreUnderstanding the concepts of rotations …, ,
    How many ways can you prove It?Understanding the construction of the …,
    Centre of a RectangleStudents draw on many topics …, , ,
    Comparing Percentages, Decimals & FractionsCalculate the percentage and fraction …
    Coordinate Geometry meets Synthetic GeometryUsing coordinate geometry, theorems, corollaries …,
    Picture this QuadraticModelling images using quadratic functions …,
    Transformation TrickeryApplying knowledge of transformations for …
    3D CubesIdentifying right-angled triangles in 3D …,
    Anyone for Pizza – Solving Simultaneous EquationsModelling problems with simultaneous equations …
    Coffee and Tea SimultaneouslySolving a two-variable problem using …,
    An Average ProblemUnderstand the properties of different …
    The Cookie CrumblesMoving from area to volume …
    Into the Next DimensionUnderstanding the relationship between cross-sectional …
    Equivalent FractionsStudents learn to compare fractions …
    More Pizza for meUsing scaling to compare different …
    Pragmatic QuadraticCalculating the area of a …,
    Rich, Happy, Healthy or FamousUsing Census @ School data …
    Roots and ShootsCalculating the dimensions of a …,
    Tri to be ShadyUsing many approaches to calculate …,
    The Window MakerUsing two-variable problems to develop …
    Grazing GazellesDiscovering Pythagoras’s Theorem.,
    Tin of BeansUsing the concept of cross-sectional …
    Translating Words into SymbolsUsing different operations to develop …, ,
    An Alternative Approach to Alternate AnglesProblem solving to demonstrate that …
    Are you Snookered?Use axioms and theorems to …
    Perimeter of an Irregular ShapeCalculating perimeter of a shape …,
    Home and AwayUnderstanding distance-time graphs.,
    A Tough ClimbUnderstanding the concept of slope.,
    Mary’s AgeApplying linear equations to problems.
    Perfecting PercentagesUnderstanding the usefulness of percentages …
    Count the SweetsStudents apply algebraic reasoning to …,
    The Chocolate ChallengeUsing equivalent fractions to decide …
    The Great HallUsing linear relationships to develop …
    The Problem with Cats & DogsLearning to use Venn Diagrams …
    What’s your Angle?Applying knowledge of axioms and …
    Working with Fred Pattern-SonUsing a visual pattern to …
    Introducing Algebra & Word EquationsApplying algebraic reasoning to in-context …
    Let’s think about BIDMASApplying order of operations to …
    Dogs do PatternsUsing a real-life problem to …,

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