qualifications update: mathematics, including lifeskills mathematics and numeracy qualifications...
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Qualifications Update: Mathematics, including
Lifeskills Mathematics and Numeracy
Qualifications Update: Mathematics, including
Lifeskills Mathematics and Numeracy
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
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
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
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)
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
Unit Structure - MathematicsUnit Structure - Mathematics
National 4 National 5
Expressions and Formulae Expressions and Formulae
Relationships Relationships
Numeracy Applications
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)
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)
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)
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
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
Mathematics and Lifeskills Mathematics
Unit AssessmentNational 3 to National 5
Mathematics and Lifeskills Mathematics
Unit AssessmentNational 3 to National 5
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
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
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
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
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
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
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
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
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
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
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
Mathematics Workshop
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
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
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
Lifeskills Mathematics / Numeracy Workshop
Qualifications Update:Lifeskills MathematicsQualifications Update: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
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
Marking methodsMarking methods
• Automatic
• Smart
• Human/manual
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
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
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
On-going DevelopmentOn-going Development
• Further development of question items
• Production of formative questions to support system use and learning
On-going DevelopmentOn-going Development
• Know the subject• Experience of teaching• Evidence of materials development• Interested in learning• Available between April 2013 – Sept 2014
Have A GoHave A Go
SOLARSOLAR QuestionsQuestions
Graeme ClarkSOLAR Manager
www.sqasolar.org.uk
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
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)
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
National 5 – Lifeskills Mathematics – National 5 – Lifeskills Mathematics – Specimen Question PaperSpecimen Question Paper
National 5 : Mathematics – National 5 : Mathematics – Specimen Question PaperSpecimen Question Paper
National 4 Added Value Unit National 4 Added Value Unit – Lifeskills Mathematics and – Lifeskills Mathematics and
MathematicsMathematics
National 4 Added Value Unit National 4 Added Value Unit – Lifeskills Mathematics and – Lifeskills Mathematics and
MathematicsMathematics