NUMERACY SKILLS FRAMEWORK Nagla Jebeile NSW Department of

NUMERACY SKILLS FRAMEWORK Nagla Jebeile NSW Department of Education Numeracy Advisor Nagla. jebeile@det. nsw. edu. au © NSW Department of Education | Numeracy Across the Curriculum Page 1 7 December 2020

NUMERACY K-12 POLICY https: //education. nsw. gov. au/policy-library/policies/numeracy-k-12 -policy 1. 1. 1 Numeracy To be numerate is to use mathematical ideas effectively to participate in daily life and make sense of the world. It incorporates the use of numerical, spatial, graphical, statistical and algebraic concepts and skills in a variety of contexts and involves the critical evaluation, interpretation, application and communication of mathematical information in a range of practical situations. 1. 2. 1 Numeracy Teaching All teachers in NSW government schools will develop students' numeracy skills and understandings across all Key Learning Areas. © NSW Department of Education | Numeracy K-12 Policy Page 2 7 December 2020

NUMERACY K-12 POLICY 1. 2. 2 Numeracy Teaching Teachers will identify and support the specific numeracy demands of the Key Learning Areas leading to knowledge, skills and understandings in: • mental computation and numerical reasoning • patterning, generalisation and algebraic reasoning • applying measurement strategies • spatial visualisation and geometric reasoning • data analysis, including tables • graphical representation and analysis. © NSW Department of Education | Numeracy K-12 Policy Page 3 7 December 2020

NUMERACY IS ONE OF THE GENERAL CAPABILITY EXPLICITLY ADDRESSED IN THE NSW SYLLABUSES ACARA © NSW Department of Education | Numeracy General Capability Page 4 7 December 2020

HOW WAS THIS DOCUMENT DEVELOPED? The numeracy Skills Framework was developed using all NSW Syllabuses K-10 for the Australian curriculum, the Australian Core Skills Framework and ACARA documents © NSW Department of Education | Numeracy Across the Curriculum Page 5 7 December 2020

NSW SCHOOL CONSULTATION quae. © NSW Department of Education | Numeracy Across the Curriculum Page 6 7 December 2020

WHAT IS THE NUMERACY SKILLS FRAMEWORK? • provides teachers with the numeracy skills required by students at each stage of development across all syllabuses • supports the successful integration of numeracy across the curriculum • lists the range of numeracy skills from preschool to year 10 • allows teachers to identify stage skills • allows teachers to assess students’ prior learning • strategies for the successful integration of numeracy within each key learning area • information essential for devising lessons with appropriate differentiation strategies © NSW Department of Education | Numeracy Skills Framework Page 7 7 December 2020

NUMERACY IS EVERY TEACHER’S RESPONSIBILITY The key to successfully addressing numeracy across the curriculum: - is for teachers to understand the mathematical demands of the work they set students - the potential difficulties of the numeracy aspects students may experience - knowledge of various strategies to assist students to improve numeracy outcomes for all students © NSW Department of Education | Numeracy Skills Framework Page 8 7 December 2020

NUMERACY IS EVERY TEACHERS RESPONSIBILITY While the majority of the responsibility for the enhancement of mathematical skills lies within the mathematics classroom, numeracy skills can only be developed when numeracy is implemented across the curriculum and across a range of contexts by all teachers. This involves a whole school focus, with numeracy skills explicitly taught through every syllabus and by every teacher. © NSW Department of Education | Numeracy Page 9 7 December 2020

THE NUMERACY SKILLS FRAMEWORK CONSISTS OF FIVE FOCUS AREAS Focus Area 1: Mental computation and numerical reasoning A student identifies mathematical information, understands numbers, calculates, estimates and solves problems. Focus Area 2: Patterns and algebraic reasoning A student identifies patterns, develops algebraic reasoning and makes generalisations. Focus Area 3: Spatial visualisation, geometric reasoning and mapping A student understands and applies concepts of 2 D shapes and 3 D objects, angles and position. Focus Area 4: Measurement and time calculations A student applies measurement strategies and understands time. Focus Area 5: Graphical representation and data analysis A student represents and interprets data in graphs, tables and diagrams.

ASPECTS OF NUMERACY KLA APPLICATIONS AND CONSIDERATIONS

EACH FOCUS AREA LISTS THE NUMERACY SKILLS FOR EACH STAGE OF SCHOOLING FROM PRESCHOOL TO YEAR 10 Public Schools NSW

OUR PRIORITY IS TO CATER FOR ALL STUDENTS Students above stage Students at stage level Students below stage © NSW Department of Education | Numeracy Page 13 7 December 2020

Website Digital Version Numeracyskills. com. au

VIDEO OF STUDENTS SOLVING PROBLEMS View a video

MAKE A LIST Make a list Click this icon to compile a list of information to email. This information can be easily copied and pasted into teaching and learning documents.

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IDENTIFY NUMERACY DEMANDS IN YOUR KLA In faculty groups, list the areas where students experience difficulty with numeracy in your KLA. (In 10 minutes, use A 3 paper and markers) Where do students experience difficulty with numeracy in science in year 7? • • Estimation Measurement Drawing graphs …… Each faculty reports back to the whole staff. © NSW Department of Education | Document title Page 18 7 December 2020

IDENTIFY THREE NUMERACY FOCUS AREAS FROM NAPLAN DATA Use the item analysis option to identify areas for focus, to improve student numeracy outcomes. Each KLA will look explicitly at these numeracy areas in context within their existing teaching and learning programs. Focus 1: Focus 2: Focus 3: © NSW Department of Education | Document title Page 19 7 December 2020

Plan numeracy activities to explicitly teach numeracy skills within teaching and learning programs. © NSW Department of Education Page 20 7 December 2020

GROUP ACTIVITY Using your scope and sequence and teaching programs map the numeracy skills that you will be covering within existing programs. © NSW Department of Education | Document title Page 21 7 December 2020

Each faculty maps the numeracy skills addressed within teaching programs for each year group and the time when the skill is taught to provide a holistic map of numeracy. © NSW Department of Education | Document title Page 22

NEWMAN’S ERROR ANALYSIS The Hurdles Newman (1977) identified five basic steps students must typically work through to solve written word problems. Reading Comprehension Transformation Process Skills Encoding

NEWMAN’S PROMPTS Newman suggested five prompts to determine where errors may occur in students’ attempts to solve written problems. The Hurdles Newman’s Prompts Reading 1. Please read the question to me. Comprehension 2. Tell me what the question is asking you to do. Transformation 3. Tell me how you are going to find the answer. Processing Skills 4. Show me what to do to get the answer. Encoding 5. Now, write down your answer.

NEWMAN’S IN ACTION

PROBLEM 1 | PIZZA What can you tell us about Taylor’s problem solving? Ben has 2 identical pizzas. He cuts one pizza equally into 4 slices. He then cuts the other pizza equally into 8 small slices. A large slice weighs 32 grams more than the small slice. What is the mass of one whole pizza? Answer =

NEWMAN’S IN ACTION

PROBLEM 2 | MILK JUG What can you tell us about Meesam’s problem solving?

© NSW Department of Education | Document title 7 December 2020

NUMERACY FOCUS POINTS Prior knowledge and skills assessed Identify Student Numeracy Skills and Concepts Provide a range of representations and strategies © NSW Department of Education | Numeracy Provide authentic numeracy activities for students to engage in and think about Page 30 Assess Numeracy skills and content within a context 7 December 2020

NUMERACY ACROSS THE CURRICULUM - COURSE Online 5 hours Accredited Course © NSW Department of Education | Numeracy Across the Curriculum Page 31 7 December 2020

MATHEMATICS DIAGNOSTIC TASKS Download a copy © NSW Department of Education | Mathematics Diagnostic Tasks Page 32 7 December 2020