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Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy

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Page 1: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Qualifications Update: Mathematics, including

Lifeskills Mathematics and Numeracy

Qualifications Update: Mathematics, including

Lifeskills Mathematics and Numeracy

Page 2: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Developing qualifications Developing qualifications - drivers- drivers• Progression – provide progression from Es & Os and maximise

continuity between levels • More open and flexible requirements – fewer, broader

outcomes, more focus on skills• Assessment which supports learning - open evidence

requirements – choice of assessment approaches – opportunities for combined assessment

• Refreshed and relevant contexts for learning, providing challenge and enjoyment

• Personalisation and Choice – in content/contexts for Units - Added Value Unit at National 4

• Robust and credible – current high standards in qualifications will be maintained

Page 3: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

CfE Levels

early years

1

2

3

4 SCQFLevels

12

3

4

Continues to 12

Relationship between CfE and SCQF LevelsRelationship between CfE and SCQF Levels

Page 4: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Numeracy Unit :•develop skills in number processes and handling information in real-life contexts involving money, time and measurement• context-free so can be evidenced from any relevant area of learning, life and work•likely to be used as freestanding UnitLifeskills Mathematics :•develops skills in handling information and mathematical tasks in a range of personal and workplace contexts•develop mathematical reasoning skills across the Units

Key points for Numeracy, Lifeskills Mathematics Key points for Numeracy, Lifeskills Mathematics and Mathematicsand Mathematics

Page 5: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Mathematics :•has a skills-based Unit structure, with reasoning skills developed within all Units•Operational skills are described at a high level within the Units to encourage flexibility in learning and assessment•Operational skills are broken down into sub-skills which will form the basis of assessment at Unit level. Assessment in Mathematics and Lifeskills Mathematics•Calculators allowed in Unit assessment•Access to calculators restricted in assessment of added value•Formulae which are new to the level can / will be provided for all assessments •Added Value at National 4 assessed by two part test•Added Value at National 5 assessment by two part question paper

Key points (2)Key points (2)

Page 6: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Unit Structure – Lifeskills Unit Structure – Lifeskills MathematicsMathematics

National 3 National 4 National 5

Manage Money and Data

Managing Finance and Statistics

Managing Finance and Statistics

Shape, Space and Measures

Geometry and Measures

Geometry and Measures

Numeracy Numeracy Numeracy

Page 7: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Unit Structure - MathematicsUnit Structure - Mathematics

National 4 National 5

Expressions and Formulae Expressions and Formulae

Relationships Relationships

Numeracy Applications

Page 8: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Lifeskills Mathematics : National 5 ► 2: •At all levels Units can contribute to Course Award at the level below•Fallback from “National 5” to “National 4” would also require completion of, and entry for, Added Value Unit to achieve Course at National 4

Fallback arrangements (1)

Page 9: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Mathematics - National 4 ►3:To be awarded Lifeskills Mathematics National 3•If all National 4 Units in Mathematics are achieved( except AV Unit) candidate can be awarded Lifeskills Mathematics 3•All Units achieved at National 4 Mathematics these will be noted on certificate

Fallback arrangements (2)

Page 10: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Mathematics - National 5 4► :To be awarded National 4 Mathematics•Expressions and Formulae (Nat 5)and Relationships (Nat 5) can contribute to Course at National 4•Candidate must have successfully evidenced Numeracy Unit at National 4 or National 5

- National 5 Units are likely to provide most of this evidence but supplementary evidence for probability also required•Successful completion of Added Value Unit at National 4•Separate entry for National 4 Numeracy required

Fallback arrangements (3)

Page 11: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

New Quality Assurance arrangementsNew Quality Assurance arrangements• Will cover new National 1 to National 5 from 2013/14

• New arrangements will promote shared understanding of national standards through a collaborative and partnership approach

• New ‘Nominee’ role - provides a pool of nationally trained experts

• Intense verification in the first 3 years, then an intelligence led approach will be adopted

• Verification in Nov/Dec, Feb and Apr/May - allows for early identification of issues and support/guidance to be given

Page 12: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Assessment Support Schedule 2012/13 Assessment Support Schedule 2012/13

Oct 12 to Mar 13 N2 to N5 Unit Assessment Support (Package 1)

Feb 13 N2 to N5 Unit Assessment Support (Package 2)

Feb 13 N5 Specimen Question Paper

Apr 13 N2 to N5 Unit Assessment Support (Package 3)

Apr 13N5 Specimen Coursework (Not applicable for Maths / LMaths)

Apr 13 N4 Added Value Assessment Support

Page 13: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Mathematics and Lifeskills Mathematics

Unit AssessmentNational 3 to National 5

Mathematics and Lifeskills Mathematics

Unit AssessmentNational 3 to National 5

Page 14: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Unit assessmentUnit assessment• Flexible and open Assessment Standards and Evidence

Requirements in Units

• Greater range of techniques and methodologies for assessment – encouraged through Unit assessment support packages

• Assessments can be designed to provide evidence across more than one outcome or Unit – combined assessments

• More opportunities to gather naturally occurring evidence – assessment as part of learning and teaching

Page 15: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Unit Assessment Support Unit Assessment Support packages – purpose packages – purpose

Assessment support packages will be provided which you can use to:

•Assess your candidates

•Adapt for your own assessment programmes

•Help you develop your own assessments

Page 16: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Unit Assessment Support Unit Assessment Support packages – key featurespackages – key features

• Valid from August 2013

• Designed to encourage professional judgement

• Provide broad-based tasks – allow assessors to choose appropriate context and forms of evidence

• Show range of approaches to generating assessment evidence

• Give information on the type of evidence which could be gathered and how this is to be judged against Assessment Standards

Page 17: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Unit Assessment Support Unit Assessment Support packages – key featurespackages – key features

Purpose and Overview

• Purpose - what is being assessed – one Unit / two Units / selected Outcomes or Assessment Standards• Description – approach used in exemplar• Flexibility – reference to how this might be presented to candidates

Page 18: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Unit Assessment Support Unit Assessment Support packages – key featurespackages – key features

Assessment conditions

•Support - peer support, dealing with group work, teacher prompts•Time - not a constraint (conditions must be the same for all approaches ) •Resources – use of calculators, formula sheets

Page 19: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Unit Assessment Support Unit Assessment Support packages – key featurespackages – key features

Gathering and judging evidence

•Practical approaches to retaining evidence•Importance of consistent application of standard•Specific advice for exemplar in the package •Specific marking guidance

Page 20: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Judging evidence Judging evidence

Outcomes Assessment standards

Making assessment judgements

Meeting the standard using this example

What evidence must cover

How much is required & how well it is done

From where in assessment task can evidence be obtained, e.g. question number / task

Page 21: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Unit assessment support Unit assessment support packages - approachespackages - approaches

MathematicsPackage 1 • Unit by Unit approach – discrete assessment tasks

for each UnitPackage 2 • Combined approach – groups Outcomes and

Assessment Standards from different UnitsPackage 3 • Portfolio approach – naturally occurring evidence

Page 22: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Relationships : National 5Relationships : National 5

Assessment standard Judging the evidence Question

NumberOperational skill 1.1 (Applying algebraic skills to linear equations )

At least half of the main points of process and accuracy associated with the sub-skills in this assessment standard have been successfully demonstrated

Questions 1 to 5

Operational skill 1.2 (Applying algebraic skills to graphs of quadratic rel’ships)

At least half of the main points of process and accuracy associated with the sub-skills in this assessment standard have been successfully demonstrated

Questions 6 to 9

Reasoning skill : 2.1 ( Interpreting a situation ….)

This assessment standard should be achieved on at least one occasion.

Questions 3 and 16

Page 23: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Relationships National 5Relationships National 5

Assessment standard

Question Number

No. of points of process and accuracy in this sample

Minimum number of points in this sample assessment

Operational skill 1.1

1 -5 10 5

Operational skill 1.2

6 - 9 9 5

Reasoning skill : 2.1

3 and 16 2 1

Page 24: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Unit Assessment Support Unit Assessment Support reassessmentreassessment

•normally one reassessment•different questions•if not all sub skills sampled in first assessment expected that different ones would be used in any reassessment

Page 25: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Mathematics Workshop

Page 26: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Unit assessment support Unit assessment support packages - approachespackages - approaches

Lifeskills Mathematics (including Numeracy)Package 1 • Unit by Unit approach – discrete assessment tasks for each Unit

Package 2 • Combined approach including Numeracy – groups Outcomes and

Assessment Standards from different Units, AND• Unit by Unit approach (Numeracy) – discrete assessment tasks for

each Unit

Package 3 • Unit by Unit – discrete assessment tasks using SOLAR based e-

assessment

Page 27: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Lifeskills Maths Lifeskills Maths

Assessment standard Judging the evidence Question

NumberStrategies: Identified valid/effective methods and/or

approaches, e.g. theorem or formulae to solve given problems or answer questions in at least half ….

Questions 1–4

Processes: Used the appropriate steps and/or techniques….. Processes must be correct or followed through correctly in at least half…...

Questions 1–4

Communication: Communicate mathematical information and/or justified solutions by using the results of measurements or calculations in at least half of the finance opportunities available in the specific assessment guidelines.

Questions 1–4

Page 28: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

NumeracyNumeracy

Assessment standard

(example)Judging the evidence Question

Number

Selecting and using appropriate numerical notation and units

Selected/used appropriate numerical notation for calculations and/or recording measurements on at least one occasion for each of the following: money, time and measurement.

Tasks 1–4:

Extracting and interpreting data

Extracted and interpreted data from one graphical form correctly.

Task 5

Page 29: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Lifeskills Mathematics / Numeracy Workshop

Page 30: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Qualifications Update:Lifeskills MathematicsQualifications Update:Lifeskills Mathematics

Page 31: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

SOLARSOLAR

• Online delivered rules-based assessments• Dynamically generated from bank of quality

assured questions every time• Pre-verified question content with no

verification requirement*• Can be delivered securely on USB/Laptop

offline• Supports assessment-on-demand and

when-ready

Page 32: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

SOLAR & LifeskillsSOLAR & Lifeskills

• E-only whole unit assessment• Dynamically generated using rules and

criteria• Pass awarded if standard in each outcome

is met• Range of question types and marking

methods• Supports e-verification

Page 33: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Marking methodsMarking methods

• Automatic

• Smart

• Human/manual

Page 34: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Re-AssessmentRe-Assessment

• Whole unit re-assessment• Outcome-level re-assessment

• Using same bank of question items and same rules as first attempt

• Same QA rules apply as for paper-based delivery

Page 35: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Available from 30 April 2013Available from 30 April 2013

• Single fixed version assessments for each of the 9 units

• Exemplifying question types and structure of assessment

Page 36: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Available from August 2013Available from August 2013

• Dynamic-rules based summative assessment for each unit, verified and quality assured

• Formative assessments at N3, N4 and N5

Page 37: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

On-going DevelopmentOn-going Development

• Further development of question items

• Production of formative questions to support system use and learning

Page 38: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

On-going DevelopmentOn-going Development

• Know the subject• Experience of teaching• Evidence of materials development• Interested in learning• Available between April 2013 – Sept 2014

Page 39: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Have A GoHave A Go

Page 40: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

SOLARSOLAR QuestionsQuestions

Graeme ClarkSOLAR Manager

[email protected]

www.sqasolar.org.uk

Page 41: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Mathematics and Lifeskills Mathematics

Added Value Assessments:- National 5 Course Assessment- National 4 Added Value Unit

Mathematics and Lifeskills Mathematics

Added Value Assessments:- National 5 Course Assessment- National 4 Added Value Unit

Page 42: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Adding Value – National 4, Adding Value – National 4, National 5National 5

• Each Course at National 4 and National 5 includes assessment of Added Value

• For National 4, the added value is in an Added Value Unit - not graded

• For National 5, the added value is in the Course Assessment - graded A - D (as at present)

Page 43: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

Added ValueAdded Value• Makes the Course more than the sum of its parts• Builds on current Course assessment and Group

Award approaches • Defined as breadth, challenge and/or application as

outlined in Building the Curriculum 5• May involve accumulation, assimilation, integration

and/or application of skills, knowledge and understanding

Page 44: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

National 5 – Lifeskills Mathematics – National 5 – Lifeskills Mathematics – Specimen Question PaperSpecimen Question Paper

Page 45: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

National 5 : Mathematics – National 5 : Mathematics – Specimen Question PaperSpecimen Question Paper

Page 46: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

National 4 Added Value Unit National 4 Added Value Unit – Lifeskills Mathematics and – Lifeskills Mathematics and

MathematicsMathematics

Page 47: Qualifications Update: Mathematics, including Lifeskills Mathematics and Numeracy Qualifications Update: Mathematics, including Lifeskills Mathematics

National 4 Added Value Unit National 4 Added Value Unit – Lifeskills Mathematics and – Lifeskills Mathematics and

MathematicsMathematics