National SKE Courses in Mathematics

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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

Transcript of National SKE Courses in Mathematics

Page 1: 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

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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

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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.

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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

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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

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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

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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