Scottish Survey of Literacy and Numeracy Improving Numeracy

Scottish Survey of Literacy and Numeracy Improving Numeracy www. educationscotland. gov. uk

Aim of SSLN Improving Numeracy Engagement Events • Raise awareness of the programme for the SSLN surveys • Share the findings and key messages from the SSLN Numeracy 2011 report • Engage with the SSLN Numeracy Professional Learning resource • Provide an opportunity to engage with the advice and guidance provided within SSLN Numeracy Professional Learning Resource with a focus on improving numeracy Transforming lives through learning

Overarching Aims • To support the raising of attainment in mathematics and numeracy across all stages • To raise awareness of the strengths and areas for improvement in children and young people’s numeracy skills • Review strengths and areas for improvement identified within children and young people’s responses within the SSLN Numeracy survey 2011 Transforming lives through learning

Main activities for today • Review of strengths and areas for improvement identified within inspection activity and SSLN numeracy survey • Explore features of an effective curriculum and programme of learning • Explore the range of tasks and activities to support learner understanding and development of broader skills • Exploration of progression within a programme of learning • Exploration of breadth, challenge and application in improving learning Transforming lives through learning

range of resources approaches to learning and teaching contexts for learning use of local environment Developing Numeracy skills: Identified good practice in primary and secondary environments collaborative learning: sharing thinking early stages: active & exploratory learning http: //www. flickr. com/photos/wwworks http: //www. flickr. com/photos/rdecom http: //www. flickr. com/photos/thedigitelmyr Transforming lives through learning

Effective learning and teaching in numeracy “All teachers have responsibility for promoting the development of numeracy. With an increased emphasis upon numeracy for all young people, teachers will need to plan to revisit and consolidate numeracy skills throughout schooling. ” Building the Curriculum 1 Transforming lives through learning

Transforming lives through learning

The Scottish Survey of Literacy and Numeracy (SSLN) What is the SSLN? • National sample-based survey • The survey focuses on literacy and numeracy in alternate years, with some pupils trialling assessments for the following year’s survey each time. • Schools across Scotland are invited to participate in the SSLN survey. • Provides a snapshot of pupil attainment in literacy and numeracy at a specific point in time and allows for comparisons over time to be made. Transforming lives through learning

The Scottish Survey of Literacy and Numeracy (SSLN) • Provides valuable information at a national level on literacy and numeracy performance at P 4, P 7 and S 2. • The SSLN is undertaken as part of a partnership between the Scottish Government, Education Scotland, the Scottish Qualifications Authority and education authorities. Transforming lives through learning

Scottish Survey of Literacy and Numeracy 2011 (Numeracy) Highlights from the report: “ the vast majority of pupils said they enjoyed learning, though the strength of agreement reduced among older pupils. Over 90 per cent of pupils agreed that what they were learning would be useful to them outside school” “ The percentage of pupils not yet working within their respective levels in numeracy was less than 1% in P 4, about 2% in P 7 and about 32% in S 2” “ Pupils were less likely to receive feedback on performance and improvement in S 2 than in P 4 and P 7. ” Transforming lives through learning

Scottish Survey of Literacy and Numeracy 2011 (Numeracy) “ pupils were generally more successful with tasks assessing data and analysis and time. Tasks assessing measurement and fractions, decimal fractions and percentages were found to be more challenging for learners” “ Teachers reported high levels of confidence in delivering the Curriculum for Excellence (Cf. E) numeracy experiences, with generally over 95% of primary and secondary maths teachers confident or fairly confident. The one exception was the area of ideas of chance and uncertainty…” Transforming lives through learning

Scottish Survey of Literacy and Numeracy 2011 (Numeracy) Highlights from Scotland’s Results were published on 28 th March 2012 with full results available on www. scotland. gov. uk/ssln Also available to view are the teacher and pupils questionnaires which capture the experiences and opinions of learning and teaching in literacy and numeracy, exemplar questions and further data. Learning and teaching resources( professional learning resource) based on the SSLN survey findings support and inform learning and teaching practice in schools and can be viewed at http: //www. educationscotland. gov. uk/learningteachingandassessment/assess ment/ssln/resources/numeracyprofessionallearningresource/index. asp Transforming lives through learning

www. scotland. gov. uk/ssln www. sqa. org. uk www. educationscotland. gov. uk Transforming lives through learning

SSLN Numeracy 2011 The SSLN Numeracy 2011 survey reported that there are many strengths in children and young people’s performance within numeracy. The results from the SSLN numeracy survey highlighted the need to improve aspects of learning in the following numeracy organisers: • • Measurement Fractions, decimal fractions and percentages (including ratio and proportion) Primary teachers and non-maths secondary teachers expressed a lack of confidence in delivering ‘ideas of chance and uncertainty’ Transforming lives through learning

Scottish Survey of Literacy and Numeracy Professional Learning Resource ( Numeracy) Professional learning materials provide: • guidance and advice to help inform learning and teaching practices in line with the survey’s main objectives • practitioners with more detail on children’s and young people’s strengths and areas for improvement identified within the indepth analysis of the survey data • opportunities for members of the learning community to engage in professional reflection, dialogue and debate about numeracy. Transforming lives through learning

What does the SSLN Numeracy professional Learning Resource look like? Transforming lives through learning

Scottish Survey of Literacy and Numeracy 2011 (Numeracy) Key aspects explored within the professional learning resource • Tasks and activities • Progression in learning • Assessment Practice Transforming lives through learning

Scottish Survey of Literacy and Numeracy 2011 (Numeracy) Section 1 Section 2 Section 3 Introduction Numeracy Pupil Performance • Setting the scene • The place of numeracy within the curriculum • Pupil performance in measurement • CPD presentation • Discrete and contextualised learning • Word problems, real life problems and problem solving • Pupil performance in fractions, decimal fractions and percentages (including ratio and proportion) • Transforming lives through learning Links between attitudes and attainment • Ideas of chance and uncertainty

Section 3 Transforming lives through learning

Transforming lives through learning

Transforming lives through learning

Big ideas we need to think about now? A. Programmes of learning in mathematics and numeracy B. Balance of discrete learning versus learning across the curriculum C. Improving children and young people’s numeracy skills further D. Progression pathways Transforming lives through learning

A Programmes of learning which : • provide a platform which enables learners well-placed to develop subsequent key ideas and methods • support practitioners in understanding the key ideas and concepts that hold the key to subsequent progress and support learners to achieve an effective grasp of these core concepts and techniques • enable practitioners to develop a stronger, more concrete, platform on which the next stage might build rather than perceive learning as a single ladder up which learners race • promote breadth and depth – supplement and strengthen rather than accelerate • look both forwards and backwards Transforming lives through learning

B Contextualisation v Discrete • Number of operations • Number of intermediate steps • Application of inverse operations which require direct operations to be known well • Integration of techniques 2. 3 m • Connecting learning from across Es and Os • Blend in the nature and frequency of examples Transforming lives through learning 2. 3 m

Impact of a secondary organiser on learners’ understanding SSLN questions were categorised by numeracy organiser Assessed organiser Measurement A new television arrives in a box which is 2 m wide, 2. 5 m deep and 3 m tall. What is the volume of the box? Answer: _______m³ Transforming lives through learning Secondary organiser Fractions, decimal fractions and percentages

C Improving learners’ skills Transforming lives through learning

Improving Learners’ Understanding Activity 1 Group discussion Given: • • Improving learners’ skills overview SSLN Performance overview Exemplar questions (Activity 1) Discussion worksheets (Activity 1) 1. Review aspects of learning which were identified as strengths and areas for improvement in the 2011 SSLN numeracy survey 2. How will your establishment use these findings to improve pupil performance in the identified areas ? Transforming lives through learning

D Progression in Learning Scottish Survey of Literacy and Numeracy 2011 (Numeracy) findings 60% of tasks, based on the measurement organiser, were answered correctly by P 4 pupils. 52% of tasks, based on the measurement organiser, were answered correctly by P 7 pupils. 36% of tasks based on the measurement organiser, answered correctly by S 2 pupils. Transforming lives through learning

Progression in Measurement Early First Second P 4 Counting squares to measure area of irregular shapes P 7 Relationship between area and perimeter Using length, area and volume of one item to estimate the length area and volume of another Calculating volumes Transforming lives through learning Fourth S 2 Relationships between length, area and volume (including inverse operations) Measuring and conversion of units, Reading a scale to measure especially involving length, volume and weight. decimal fractions Measuring lengths and weights involving every-day objects, particularly when involving halves or quarters. Third Fractions, decimal fractions and percentages as a secondary organiser Problem solving in context of length, perimeter, area and volume Conversion of units for length, weight and volume Fractions, decimal fractions and percentages as a secondary organiser

Significant aspects “Within the mathematics organisers there are significant aspects of learning which need to be strengthened at each stage in order that there is a platform from which learners are well placed to build on. In particular, where fundamental points of learning are not well known, this impacts negatively on learner performance as they move from stage to stage. ” Assessing progress and achievement in mathematics Transforming lives through learning

Identifying Significant Aspects of Learning Activity 1 b Looking at the experiences and outcomes for measurement and fractions, decimal fractions and percentages; Possible focus 1 : Choose experiences and outcomes from a particular level of either organiser and discuss and note what you consider to be the significant aspects of learning. Possible focus 2 : Choose a group of experiences and outcomes, as identified in your programme of learning, to discuss and note what you consider to be significant aspects of learning Transforming lives through learning

Progression Activity Given: • Numeracy Es and Os • Improving learners’ skills overview • SSLN Performance overview • Activity 2 worksheets 1, 2 a/b and 3 2 Choosing either measurement or fractions, decimal fractions and percentages: 1. Identify at each stage, what are the significant aspects of learning that would allow learners to confidently answer these questions? 2. Identify the knowledge and skills which require further development to ensure effective progression to the next stage. 3. Using your identified learning progression, consider how you would plan for progression in your learning environment. Transforming lives through learning

Embedding Problem Solving in Learning “To emphasise that problem solving is fundamental to good learning and teaching in all aspects of mathematics and its applications, problem solving will be addressed within all lines of development rather than appearing as a separate element. ” Building the Curriculum 1 Transforming lives through learning

Embedding Problem Solving in Learning Activity 3 What does problem solving look like in your classroom /department /school? How are you supporting learners to develop and employ numeracy strategies in order to understand solve a range of problems? Activity 3 Transforming lives through learning

Word problems, real-life problems and problem solving The SSLN numeracy survey included tasks with different degrees of challenge. The in-depth analysis of learners’ performance in these tasks indicate the need to strengthen their skills to: • select and identify an appropriate strategy • comprehend and interpret questions, particularly word problems • connect their learning across the numeracy experiences and outcomes • use appropriate notation and vocabulary • realise the importance of accurate calculations Transforming lives through learning

Planning for Improvement Planning learning and teaching Questioning • Starting with one or two more challenging questions. • Positive informed decisions about type of questions to select. (Higher Order Thinking) Types of problems • Greater range involving different sorts of numbers (whole numbers/integers/ fractions/decimal fractions/percentages). • Different contexts using similar numbers. • Word problems which are not amenable to merely extracting key words and numbers (shift importance of focus from merely identifying leading words and numbers). • Greater depth to support learners’ to think more deeply about the process, rather than the outcome. Transforming lives through learning

Planning for Improvement Observing Learning in Numeracy Do learners: • estimate answers before carrying out calculations? • use efficient strategies to solve problems? • explain their strategies/articulate thinking? • exhibit fluency and confidence in mental calculations? • apply accuracy in written calculations? Are learners: • encouraged to consider the reasonableness of their answer? • applying their skills within another curriculum area? • all working at an appropriate level of challenge to meet individual needs? Transforming lives through learning

Transforming lives through learning

Planning for Improvement Activity 4 Reflecting on the suggested strategies for improving learning in numeracy - share good practice that you have observed or any developments implemented in your school/department Activity 4 Transforming lives through learning