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Conferences ›› Maths Counts 2017

Another year and another brilliant Maths Counts Conference. A record crowd of close to 450 watched Professor Takahashi steer an open-ended path through geometry and then witnessed a first for Irish education as our amazing lesson-study teachers taught their students live for all to observe. If that wasn’t enough, there were still 20 interactive workshops to choose from, a poster display of 52 lessons, an address by Maths Development Team National Coordinator, Dr. Anne Brosnan and a presentation on school self evaluation by Senior Inspector, Linda Ramsbottom. It’s fair to say that everybody was tired but energised by conference end on Saturday afternoon.

Thanks to everyone who attended but most especially to our 250 lesson-study teachers and the students and staff of Maynooth Education Campus, Coláiste na hInse, Santa Sabina Dominican College and Temple Carrig School who gave up their weekend so that we all might learn some Maths.

Irish Maths Teachers Teaching Live

In a first for Ireland, Maths Counts saw Maths teachers teaching live lessons for all to see. If you missed out, we’ll be posting videos of the full live lessons soon for everyone to view. In the meantime meet our live teachers and find out a little more about their lessons.

Team 1 – From Santa Sabina Dominican College, Sutton, Co. Dublin

Audrey Carty, Sandra Byrne, Claire Holton and Fiona McAvoy’s lesson is The Polygon Predicament and is targeted at Leaving-Cert. Higher-Level students. Combining aspects of Geometry, Probability, Algebra and Functions this problem challenges students to make connections between the different strands of the Maths syllabus and aims to develop students’ problem-solving skills, communication and ability to reason. 

Team 2 – From Ballymakenny College, Drogheda & Coláiste na hInse, Bettystown

Catriona McArdle from Coláiste na hInse and Leona Matthews from Ballymakenny College worked across their schools to develop a lesson for first-year students. The Great Hall introduces students to algebra using structured problem-solving in such a way that students are encouraged to develop their algebraic reasoning skills, are motivated to engage with algebra and ultimately see algebra as sense making. 

 

Team 3 – From Temple Carrig School, Greystones

Dr. Declan Cathcart, Deborah Crean, Nadia Douglas and Jill Condell’s lesson Coordinate Geometry meets Synthetic Geometry is designed to help students to develop their deductive reasoning skills by devising as many solutions as they can to a geometric problem. Students are expected to draw on their knowledge of coordinate geometry and geometry theorems, corollaries and constructions to solve the problem. How did students approach the problem? What methods did they use? 

 

You can find these and other lesson proposals in our Lesson Study Library.

Professor Akihiko Takahashi’s Live Lessons

Professor Takahashi: Live Demonstration LessonsProfessor Akihiko Takahashi wowed us for the second year running with his open-ended teaching of Geometry using structured problem solving. Professor Takahashi was ably assisted by first-year students from Maynooth Education Campus (incorporating Maynooth Post-Primary School and Maynooth Community College). Professor Takahashi also addressed the conference on the importance of open-ended tasks to maths lessons. You can download Professor Takahashi’s lesson plan, with student worksheets included here and you can watch Professor Takahashi put the lesson plan into action in the videos below.

Keynote Address by Prof. Takahashi

Prof. Takahashi speaks about the importance of open-ended problems for teaching math...

Live Demonstration Lesson 1

Prof. Takahashi asks the students of Maynooth Education Campus to draw as many squar...

Live Demonstration Lesson 2

Prof. Takahashi asks the students to draw as many triangles as they can.

Live Demonstration Lesson 3

Prof. Takahashi leads students to discover properties of congruent triangles.

Keynote Address

Dr. Anne Brosnan of the Maths Development Team gave a keynote address on the role that lesson study has played in supporting Irish teachers to incorporate structured problem solving into their Maths lessons. Dr. Brosnan outlined the growth of the Maths Development Team’s lesson-study programme and how its continuation can propel Ireland to have world-class Maths education. 

Interactive Workshops

Teachers who participated in Lesson Study 2016-2017 hosted interactive workshops where they gave audience members the chance to try out their problem-solving lesson, discussed their students’ reaction to the lesson and discussed the many ways in which they benefited from being involved in lesson study. All the lesson proposals and problems presented during the workshops are available in our Lesson Study Library.

Poster Exhibition

The 250+ Maths teachers who participated in Lesson Study 2016-2017 produced a total of 52 lesson proposals. The lesson proposals were summarised by 52 posters which were displayed throughout Maths Counts 2017. All 52 lesson proposals are available for download in our Lesson Study Library along with a PDF containing all the posters (large file – 300+MB).

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Sponsors and Exhibitors

Thank you to our sponsors, Microsoft and Build-Up for sponsoring Maths Counts. Thank you to all our exhibitors who provided teachers with lots of useful information about the latest resources for teaching Maths.


Problem Solving Lesson Proposals

Check out the lesson proposals developed by Maths teachers involved in lesson study.

Search for a particular lesson or sort the lessons according to topic, year group or level.

Click RESET to return to the full list of lessons.

Lesson TitleDescriptionStrandYear GroupLevel
It’s Show TimeIn this lesson, students will try to solve problems relating …
What’s your Angle?Pupils will be presented with 2 parallel lines and 5 …,
Percentage ParadoxStructured problem solving lesson involving multiple approaches to a direct …
A Pizza of the (Fr)ActionStudents are given a problem to consolidate their learning of …
What about ParallelogramsExploring properties of parallelograms using various approaches and looking for …
Thinking Outside the TriangleUsing a given diagram to lead students to the discovery …
The Volume of MoneyThrough discovery, students derive the formula for the volume of …
The X FactorExploring different ways to represent factorisation of a single algebraic …
The Power that Lies BeneathUsing Assessment for learning techniques of multiple choice diagnostic testing …
The Array ModelUsing the Array Model to factorise quadratic expressions. This proposal …
Straight to the nth GameUsing a problem question to develop the general formula for …
Show Me the MoneyDiscovering the different measures of central tendency using celebrities as …
Scrutinizing the Difference between Two SquaresThis proposal uses the concepts from ‘Algebra through the lens …
Run Johnny Run, Maths To The RescueUsing prior knowledge of triangles to explore trigonometric ratios and …
Point Of Pick-UpUsing prior knowledge of algebra, coordinate geometry, synthethic geometry and …
Place Your PixUsing the problem of placing a picture in a frame, …
Matchstick ChallengeThis lesson is based on first year patterns, introducing students …
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In The AirUsing a word problem to graph functions
How Big Is Pi?Using varying circles to discover pi and use this discovery …
Getting To The Problem Of The RootIdentifying relationships between quadratic equations, roots and graphs
Get UnsnookeredUsing a mix of Geometry, Trigonometry and Coordinate Geometry to …,
Forthnightly MathsIn a computer game context, students will have to identify …
Express My PointStudents will be introduced to the concept of writing mathematical …
Equating Fortnite-lyUsing word problems in algebra to introduce equations
Disco TaxiUsing a word problem to introduce transformations of quadratic functions …
Circling LongitudeA real life scenario of a drone taking a photo …
Car Savings ConundrumStudents act as a financial advisor and must investigate a …
Basket CaseIntroducing simultaneous equations through word problems and solving by graphing,
All Aboard Quadratic AirlinesThis lesson provokes students understanding of how quadratic graphs relate …
A Journey in FinanceModelling a financial problem using a geometric series and investigating …
2 or not 2x that is the questionThis lesson provides a physical approach to the understanding of …
A Step in the Right DirectionThis lesson introduces students to trigonometric ratios.
Who is being Irrational?After calculating some distances using Pythagoras students will work towards …
When Area is 64Students are presented with an area problem and by exploring …
What’s your Angle?Through exploring relationships in triangles, students will discover that the …
Untangles the AnglesUsing various methods students will discover different relationships between the …
Unpacking 3D ShapesStudents will examine a square based pyramid, identify all 2D …,
Transversals are CopycatsGiven a diagram with three parallel lines and three transversals, …
Top of the VlogsStudents will present two sets of data in graphic form …,
Time for TellyStudents will learn to deal with problems of time by …
The Trapezoidal RuleStudents will engage with a problem to find the area …, ,
The Story of Two DronesStudents will be asked to apply their knowledge to solve …,
The Story of the GannetStudents will describe the story of a gannet’s dive as …
The Integers CupStudents will develop understanding of integer operations by solving a …
The Great Wall of NenaghProblem solving approach to link Patterns, Co-ordinate Geometry and Algebra., ,
The Grand RationalStudents are given an algebraic fraction and are asked to …
The Ex FactorThrough a problem-solving approach, students find the sum of exterior …
The Balancing ActIntroducing Simultaneous Equations through problem solving.
The Formula Speaks VolumesStudents will explore the volume formula for cuboids and develop …
The Flow of MoneyStudents will try to solve a tax problem with higher …
Takeaway TranslationIn this lesson students will try to solve a word …
Subway SubstitutionStudents are presented with a menu and asked to use …
SnowflakesStudents will be challenged to express repeating linear patterns algebraically.
Simultaneously solving for two variablesStudents will be given two linear equations with two unknown …
Similar Triangle WrangleStudents will be using dotted paper to produce similar triangles …,
Shootin’ HoopsStudents will be provided with a calculus question that requires …,
Sharing the UnknownStudents will understand the need for algebraic fractions when dealing …,
Run Circles Around PythagorasStudents will be asked to find as many Pythagorean pairs …,
Pump Up The VolumeStudents will use various strategies to transform different irregular solids …,
The Power of AlgebraStudents will be presented with a simultaneous linear functions problem …
Plane ClothesStudents solve a problem on the area of a triangle …, ,
Percentages PredicamentStudents tackle a percentage increase problem to understand the concept …
Paving PatternsStudents are encouraged to examine patterns in various ways to …, ,
Patterns in PolygonsStudents use their prior knowledge of geometry and linear patterns …,
Partying with IndicesThrough an exponential growth problem it is hoped that students …
Paper RatioStudents will be given A3, A4 and A5 sheets of …
MurlingStudents will work with a real world problem involving establishing …,
Multiplying Messi’s MillionsIn this lesson students will investigate models and use the …
Monkey PuzzleStudents develop an understanding of the properties of fractions through …
Meet You HalfwayStudents are given a photograph of Sligo town with a …
Make-Up MoneyStudents will solve a problem based on saving money. By …, ,
M.M.A. Mixed Mathematical ApproachesStudents will formulate the area of the first floor (rectangle) …,
Kevin’s Cash ConnundrumStudents will show in many ways how to represent a …
Katie versus Conor – Who will win?Students explore probability and relative frequency by considering who would …,
Justifying your ThinkingStudents are challenged to explain why one Electricity contract is …
It’s Thirsty WorkStudents will learn to interpret graphs by investigating the flow …
It’s a Matter of PrinciplesStudents investigate the rate of change of a rocket whose …
It’s Moore of a ProcessStudents investigate Moore’s Law in order to apply their understanding …,
How much is the special Offer?Students will be presented with a real life problem verbally …
Heavenly SlopesStudents will engage in structured problem solving to develop their …,
Going underground on a Roller CoasterStudents are introduced to quadratic relationships via an in-context problem.,
Fractions meet AlgebraStudents will learn to apply their knowledge of fractions and …,
Elf on the ShelfStudents will use their knowledge of trigonometry, synthetic geometry and …,
Diving for RootsStudents are introduced to quadratic equations from a functions point …,
Dining Out – Who Gets your Money“In this lesson students will complete a problem to find …
Cuir Cruth AirTrí a bheith ag plé le léaráid ina bhfuil triantáin …, ,
Cover the Distance FasterStudents apply their knowledge and understanding of coordinates, calculating length …,
Count like an EgyptianStudents are given a problem and asked to explore different …
Box BonanzaStudents work on the problem of calculating the number of …
Baby it’s cold outsideThe aim of this lesson is consolidate students’ knowledge of …,
Are we there yet?Students are encouraged to solve a problem by finding the …,
Are you up for the Match?The aim is for the students to discover the Fundamental …
Are Circles PointlessIn this lesson students will actively participate in solving a …,
Getting Value for MoneyStudents will try to solve a problem involving currency exchange …
Angles to find the TreasureThe students will be given a map with three different …,
2D or not 2D?The lesson focuses on students designing an open rectangular box …,
2D to 3D… That is the Question?Students will be presented with a problem in which they …, , , , , ,
Prof. Takahashi’s Lesson ProposalThrough a series of problems, students learn about the conditions …,
Introducing Differential CalculusDeveloping an understanding of key calculus concepts using rates of …
The Polygon PredicamentConnecting multiple mathematical topics to solve a geometric problem., , , ,
The Perfect SelfieUsing geometry and trigonometry to solve a 3D problem.,
Developing Frieda’s FieldDeveloping the formula for the area of a non-right-angled triangle.,
Enter the MatrixSolving a multi-variable problem using many methods.
The General Term of a Quadratic PatternUsing multiple strategies to develop the formula for a quadratic …,
Heading for TroubleLearning how to deal with a two-variable problem where one …
Navigating an Ash CloudDrawing on algebra, geometry and trigonometry to solve a problem., ,
The Water RocketAnalysing quadratic relationships using multiple strategies., ,
What makes a ParallelogramUsing trigonometry & geometry to calculate the area of a …,
Tick Tock – Area of an IncircleUse the properties of an equilateral triangle to find the …,
Seeing through the DabApplying trigonometry to solve a 3D problem.,
Decoding De MoivreUnderstanding the concepts of rotations and scales which underpin De …, ,
How many ways can you prove It?Understanding the construction of the bisector of an angle.,
Centre of a RectangleStudents draw on many topics to find the centroid of …, , ,
Comparing Percentages, Decimals & FractionsCalculate the percentage and fraction of a number in many …
Coordinate Geometry meets Synthetic GeometryUsing coordinate geometry, theorems, corollaries and constructions to show a …,
Picture this QuadraticModelling images using quadratic functions and understanding the importance of …,
Transformation TrickeryApplying knowledge of transformations for problem-solving.
3D CubesIdentifying right-angled triangles in 3D solids to solve problems.,
Anyone for Pizza – Solving Simultaneous EquationsModelling problems with simultaneous equations and how elimination can be …
Coffee and Tea SimultaneouslySolving a two-variable problem using different techniques.,
An Average ProblemUnderstand the properties of different measures of average.
The Cookie CrumblesMoving from area to volume in a uniform solid.
Into the Next DimensionUnderstanding the relationship between cross-sectional area and volume for a …
Equivalent FractionsStudents learn to compare fractions using graphical methods.
More Pizza for meUsing scaling to compare different quantities fairly.
Pragmatic QuadraticCalculating the area of a shape with unknown dimensions.,
Rich, Happy, Healthy or FamousUsing Census @ School data to compare methods for analysing …
Roots and ShootsCalculating the dimensions of a shape given its area in …,
Tri to be ShadyUsing many approaches to calculate an unknown area.,
The Window MakerUsing two-variable problems to develop simultaneous equations.
Grazing GazellesDiscovering Pythagoras’s Theorem.,
Tin of BeansUsing the concept of cross-sectional area to change area of …
Translating Words into SymbolsUsing different operations to develop the same number., ,
An Alternative Approach to Alternate AnglesProblem solving to demonstrate that alternate angles are equal in …
Are you Snookered?Use axioms and theorems to calculate a pair of missing …
Perimeter of an Irregular ShapeCalculating perimeter of a shape with known and unknown lengths.,
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 in understanding proportion.
Count the SweetsStudents apply algebraic reasoning to problem-solve a linear relationship.,
The Chocolate ChallengeUsing equivalent fractions to decide which unit quantity is greatest.
The Great HallUsing linear relationships to develop algebraic thinking.
The Problem with Cats & DogsLearning to use Venn Diagrams as a problem-solving tool.
What’s your Angle?Applying knowledge of axioms and theorems to calculate missing angles.
Working with Fred Pattern-SonUsing a visual pattern to introduce linear relationships.
Introducing Algebra & Word EquationsApplying algebraic reasoning to in-context problems.
Let’s think about BIDMASApplying order of operations to generate different numbers.
Dogs do PatternsUsing a real-life problem to develop an understanding of linear …,