National SKE Courses in Mathematics
Transcript of National SKE Courses in Mathematics
On successful completion you will have developed:
competent mathematical knowledge ready for your ITE course;
appreciation and understanding of the main concepts in mathematics and statistics.
On your course, you will:
gain an understanding of problem solving in mathematics;
learn to recognise the common misconceptions and mistakes made by learners.
During the course, you will gain:
experience of applying mathematics and statistics in practical applications;
an insight into the logical progression in mathematics concepts and topics.
On successful completion you will have developed:
confidence in understanding new mathematical topics;
ability to help and support colleagues with mathematics subject knowledge.
National SKE Courses in Mathematics Centre for Innovation in Mathematics Teaching
We are running national SKE courses, available to anyone who has secured a place on an ITE course for
either Secondary Mathematics or Primary (Mathematics Specialist), starting in April this year.
The courses would be online and would be available for any starting time from May 2021 onwards.
You will be provided with an initial live induction (in real time, IRT) meeting to:
Ensure you understand the structure of your specified course.
Illustrate how the system works, including an initial diagnostic audit and the resulting individual
action plan aimed at procedural fluency.
Ensure that you have chosen the most suitable option to meet your needs.
Discuss the timing of the weekly one-to-one (IRT) tutorial with your tutor.
Detail the targets for each week and the expected online assessments required.
Provide details of the support that will be available beyond the weekly one-to-one meetings,
including the option of joining in with a Zoom discussion group of participants.
Discuss any other issues of concern and ensure that you have arranged your login and password for
access for the Unit (see below) assessments.
For Secondary Mathematics SKE, we have designed courses with maximum flexibility.
To provide a suitable range of courses, that could be for 8, 12, 16, 20, 24 or 28 weeks, we provide three
types of course for both GCSE and for A-Level subject knowledge enhancement:
Key Concept course: here major concepts are reviewed and refreshed (8 weeks with 16 Units of
work) with the focus on conceptual understanding.
Comprehensive course: this covers all the main syllabus content (12 weeks with 24 Units of work).
Extended course: here important topics are reviewed and extended (16 weeks with 32 Units of
work).
There are a range of options available depending on the your needs; for example, you may be well-qualified
in Mathematics but not familiar with the more recent syllabus changes for GCSE Mathematics courses;
alternatively, you may not have a strong, high-level mathematics background and need a more
fundamental course on key aspects in A-Level Mathematics.
The diagram below illustrates the options available for you with, if required, a strong focus on either GCSE
Mathematics or A-Level Mathematics and a variety of combinations to suit your needs.
The diagram below illustrates the options available with, if required, a strong focus on either GCSE
Mathematics or A-Level Mathematics and a variety of combinations to suit your needs.
Weeks Course
8 GCSE Maths: Key Concepts
12 GCSE Maths: Comprehensive
16 GCSE Maths:
Extended
A summary of the available Units for each course is given in Appendix 1; there is though flexibility according to the your needs.
Weeks Course
8 A-Level Maths: Key Concepts
12 A-Level Maths: Comprehensive
16 A-Level Maths:
Extended
For our provision for Primary (Mathematics Specialist) SKE, we have a similar structure of course provision with:
Key Concept course: here major concepts in the Primary Mathematics curriculum are reviewed and
refreshed (8 weeks and 16 Units of work) with the focus on conceptual understanding.
Comprehensive course: this covers all the main syllabus content and extending to content for Year
7 mathematics (12 weeks and 24 Units of work).
The range of topics available is given in Appendix 2.
Note that each Unit of work in both the Secondary and Primary courses consists of:
Video introduction
Learning Objectives and Essential Information
Common mistakes and misconceptions
Self-audit for topics in the Unit
PowerPoint presentation with worked examples
Interactive examples and exercises
Text and exercises
Assessment check.
Information and Application
For more details about our courses, please email Russell Geach on [email protected]
or phone 07899 066829 for a discussion on our provision. Application forms are available here
Centre for Innovation in Mathematics Teaching (CIMT)
The Centre for Innovation in Mathematics Teaching (CIMT) based at Plmouth University is a not-for-profit
research and development Centre, dedicated to helping and supporting teachers to enhance the
mathematical progress of their learners. The centre works across all sectors of education, nationally and
internationally, developing help, advice and resources based on the cycle:
Problem → Research → Development → Trialling → Evaluation → Dissemination
with our resources freely available on our website at: https://www.cimt.org.uk
We have been involved in the successful implementation of the new Core Maths qualification for
students in the tertiary sector, based on applications of mathematics, together with work
nationally in supporting and retraining non specialist teachers of mathematics. This has brought into
focus many of the current issues that schools and colleges face in trying to ensure high quality mathematical
provision is available to provide motivating and inspirational lessons.
Appendix 1: Suggested Course Structure for Secondary Mathematics SKE
KEY: A1: GCSE: Key Concepts A2: GSCE: Comprehensive A3: GCSE: Extended B1: A-Level Key Concepts B2: A-Level: Comprehensive B3: A-Level: Extended
STRAND: NUMBER
STRAND: ALGEBRA
TOPIC A1 A2 A3 B1 B2 B3
Fractions
Negative Numbers
Decimals and Fractions
Decimal Calculations
Fraction Calculations
Percentages
Ratio and Proportion
Scientific Notation
Indices and Factors
Number Classification
TOPIC A1 A2 A3 B1 B2 B3
Number Sequences
Formulae
Linear Equations
Simultaneous Linear Equations and Factorisation
Quadratic Equations
Algebraic Fractions
Solving Inequalities
Binomial Theorem
Functions
Sequences and Series
Factorising Polynomials
Powers
Vectors
STRAND: MEASUREMENT
TOPIC A1 A2 A3 B1 B2 B3
Units of Measurement
Solids
Area
Volume
STRAND: GEOMETRY
TOPIC A1 A2 A3 B1 B2 B3
Angles and Symmetry
Angles, Circles and Tangents
Bearings
Congruence and Similarity
Coordinates
Straight lines
Graphs
Reflections, Rotations and Enlargements
STRAND: TRIGONOMETRY
TOPIC A1 A2 A3 B1 B2 B3
Pythagoras’ Theorem
Trigonometric Ratios
Sine Rule and Cosine Rule
Further Trigonometry
STRAND: CALCULUS
TOPIC A1 A2 A3 B1 B2 B3
Rates of Change
Growth and Decay
Integration
Further Calculus
Even more Calculus
STRAND: MECHANICS
Topic A1 A2 A3 B1 B2 B3
Mechanics Introduction
One Dimensional Motion
Projectiles
Work and Energy
Circular Motion
STRAND: DATA SCIENCE
TOPIC A1 A2 A3 B1 B2 B3
Probability of one Event
Probability of two or more Events
Extending Probability
Probability and Binomial Distributions
Data Collection
Data Presentation
Measures of Central Tendency
Measures of Variation
Normal Distribution
Correlation and Regression
Appendix 2: Primary (Mathematics Specialist) SKE
This is based on the Units below.
All Units will include School based Activities for learners in Key Stages 1 and 2 (where applicable).
Strand A: Number A1: Decimals and Fractions A2: Using Fractions and Percentages A3: Ratio and Proportion A4: Indices and Factors A5: Scientific Notation A6: Number Systems
Strand B: Algebra B1: Sequences B2: Formulae B3: Algebraic Concepts
Strand C: Measurement C1: Units of Measurement C2: Solids C3: Areas and Volumes
Strand D: Probability D1: Probability of One Event D2: Probability of Two or More Events
Strand E: Statistics E1: Data Collection E2: Data Presentation E3: Measures of Central Tendency E4: Measures of Variation
Strand F: Geometry F1: Angles and Symmetry F2: Angles and Circles F3: Congruence and Similarity F4: Coordinates F5: Straight Lines F6: Transformations