Project Maths Changes in Assessment - Implications Bill Lynch MSSTL Annual Conference, Carlow, 24th May 2010 Phasing of developments Phased syllabus changes at junior cycle and senior cycle – 5 strands over 3 years 1. Statistics and probability 2. Geometry and trigonometry 3. Number 4. Algebra 5. Functions Bridging framework to link primary and post-primary mathematics National roll-out after two years; also phased 2 Schedule of introduction 24 initial schools – Strands 1 and 2 in 2008 – Strands 3 and 4 in 2009 – Strand 5 in 2010 All other schools – Strands 1 and 2 in 2010 – Strands 3 and 4 in 2011 – Strand 5 in 2012 3 Areas of Support for Project Maths Project Maths Development Team – Resources to support teachers – Resources for student use and research – Web-based materials (www.projectmaths.ie) Communication; public awareness; access to information Collaboration with others – CSO, IIF, ERC – NCE-MSTL 4 Emphasis on understanding and skills Building on existing knowledge and skills Progression and continuity; from the concrete to the abstract, from the informal to the formal Developing learner confidence and competence Focus on problem-solving skills and strategies Applying knowledge and skills to familiar and unfamiliar contexts/problems 5 Changes at Leaving Certificate Curriculum and assessment developments – incremental revisions to syllabuses and assessment – removal of choice on exam papers – structure of the paper (focus on LC-OL) – interim arrangement Three syllabus levels, FL, OL and HL – uptake target: at least 30% of the cohort at HL – changed emphasis; context, applications 6 Strand 1 – Statistics and Probability Statistics Probability Statistical reasoning Counting Finding, collecting, and organising data Concepts of probability Representing data graphically and numerically Discrete probability (as relative frequency) Analysing, interpreting and drawing inferences from data Outcomes of random processes 7 Strand 2 – Geometry and Trigonometry Synthetic geometry – terms and concepts – constructions, axioms, theorems, corollaries Co-ordinate geometry Trigonometry 8 Strand 3 – Number Topics – Number systems; operations – Indices – Applied arithmetic – Length, area and volume – Sets Pre-algebra approach – patterns and generalisations; problem-solving strategies – modelling operations 9 Strand 4 – Algebra Topics – Arithmetic expressions; representations (tables, graphs) – Finding ‘formulae’ – Examining change rates and relations – Algebraic expressions; factors; graphs – Equations and inequalities Functions-based approach – Representational; transformational – Generalising and justifying 10 Responding to the feedback Syllabus adjustment – Streamlining – Deferral of learning outcomes – Hypothesis testing Assessment arrangements – Retention of topics on paper 2 (i.e. those not in S1 or S2) – Interim Paper 2 choice (June 2010) – Weighting between S1 and S2 – Additional draft questions + commentary 11 First ‘new’ examination – June 2010 SEC trial of Sample LC Maths Paper 2 (Oct. ‘09) – adjusted Sample Paper; report on the trialling Additional questions for strands 1 and 2 Pre-Leaving Certificate (‘mock’) Paper 2 – correction and return of scripts – feedback to teachers 12 First ‘new’ examination – June 2010 13 LC-OL Paper 2 2010 14 15 16 17 Question 6 18 19 Question 7 20 21 Q.7 (b) Comment on answering 22 23 24 Question 8 25 26 27 28 29 30 31 32 33 34 35 36 The square tile ABCD has side of length 1 metre. Two such tiles are to be combined to form a single square. Show how this can be done. 37 38 Rearranging the pieces to form another square. 39 Project Maths aims to bring about Improved understanding of concepts Ability to apply mathematical knowledge and skills to real-life contexts Better problem-solving skills Less reliance on practised routines and predictable questions Appreciation of mathematics More discerning students and citizens 40 Information on Project Maths URL: www.ncca.ie/projectmaths URL: www.projectmaths.ie URL: www.examinations.ie Email: bill.lynch@ncca.ie 41