Mathematics with Secondary Education

BSc single honours Mathematics with Secondary Education 2019/20

Year of entry

Clearing places available

Leading to Qualified Teacher Status (QTS)

If you have a love of mathematics and a passion for teaching and working with young people, this course combines the two, developing your teaching skills alongside your mathematical studies.

You will draw on expertise of two universities; the University of Kent for your mathematics and Canterbury Christ Church University for your mathematics education and teaching studies. You will benefit by studying at both universities, in close proximity of each other, in Canterbury and by having access to their extensive resources.

You will explore areas including:

  • Probability and statistics;
  • Applications of mathematics;
  • Mathematics pedagogy;
  • Research and enquiry in education.

Students are qualified to teach secondary mathematics within 3 years (rather than the 4 years taken if you study for a first degree in mathematics and then qualify to teach in the fourth year.

The course enables you to gain an honours degree and to qualify to teach secondary mathematics within three years. 

Canterbury Christ Church University will recommend to the Department for Education that successful students be awarded Qualified Teacher Status.

Your first year is based at University of Kent where you study alongside other mathematics undergraduate students. Your second year will also be mainly based at the University of Kent with some modules at Canterbury Christ Church University. Your final year is based at Canterbury Christ Church University studying alongside other secondary mathematics student teachers.

93% overall student satisfaction for School of Mathematics courses at University of Kent

(NSS, 2015)
This course is perfect for you if you would like to train to teach Mathematics in the secondary school age range. On successful completion of the course you will be recommended for qualified teacher status (QTS) and will not have to undertake any further training in order to teach in schools.

In your first year, you study year one undergraduate mathematics modules. In year two, you will study mathematics modules alongside mathematics education studies. This includes time in school supporting mathematics lessons as a Teaching Assistant and a four week placement in a mathematics department. In your final year,  your focus will be on teaching mathematics and pedagogy which includes two contrasting school placements. In addition, you will complete a mathematics dissertation developing your own subject knowledge.

Work experience

You will gain work experience in year 2 and year 3 and experience a range of different secondary schools.

You will be expected at all times to demonstrate that you understand and uphold the professional code of conduct. This code of conduct is outlined in the Teaching Standards as published by the Department for Education.

This is the only joint programme in the country for BSc Mathematics with Secondary Education, which combines the benefits of studying at a top 10 university for Maths (University of Kent) with learning to teach at a high quality provider of teacher education (CCCU).

‘I love teaching new maths teachers, and I particularly enjoy working on this programme. I never cease to be amazed by the way in which our undergraduates manage to combine brilliant subject knowledge with a passion for teaching.  Our alumni have gone on to make huge contributions to in their schools, both locally and nationally. Maths teachers are like gold dust, and our schools look out for the BSc students in particular.’
Carolyn Hume, Programme Director, BSc Mathematics with Secondary Education

Year 1

In the first year you will study the following core modules at the University of Kent:

MA306 Statistics (15 credits)

Increasingly data are collected to inform future decisions, varying from which websites people access on a regular basis to how patients respond to new drugs, to how the stock market responds to global events, or to how animals move around their local habitat. Therefore, most professionals will need to extract useful information from data and to manage and present data in their working lives.   This module explores some of the basic concepts of statistics, from data summarisation to the main methods of statistical inference. The techniques that are discussed can be used in their own right for simple statistical analyses, but serve as an important foundation for later, more advanced, modules. The statistical computing package R is used throughout the module for data analysis. The syllabus includes: an introduction to R and investigating data sets, sampling and sampling distributions, point and interval estimation, hypothesis testing, association between variables. 

MA343 Algebraic Methods (15 credits)

This module serves as an introduction to algebraic methods. These methods are central in modern mathematics and have found applications in many other sciences, but also in our everyday life. In this module, students will also gain an appreciation of the concept of proof in mathematics.  The mathematical package Maple will be used to support learning. The syllabus includes: logic, basic set theory, techniques of proof, functions, relations, systems of linear equations and Gaussian elimination, matrices and determinants.

MA344 Applications of Mathematics (15 credits)

This module introduces mathematical modelling and Newtonian mechanics. The mathematical package Maple will be used to support learning. The syllabus includes: the modelling cycle, using examples such as Newton’s law of cooling, population growth and simple reaction kinetics; the motion of a body, including aspects such as velocity and acceleration,  Newton’s laws of motion and projectile motion; orbital motion, including Newton’s law of gravitation, planetary motion and Kepler’s laws. 

MA346 Linear Algebra (15 credits)

This module is a sequel to Algebraic Methods. It considers the abstract theory of linear spaces together with applications to matrix algebra and other areas of Mathematics (and its applications). Since linear spaces are of fundamental importance in almost every area of mathematics, the ideas and techniques discussed in this module lie at the heart of mathematics. The mathematical package Maple will be used to support learning. The syllabus includes: vector spaces, linear transformations, eigenvalues and eigenvectors, diagonalization, orthogonality and applications using conics. 

MA348 Mathematical Methods I (15 credits)

This module introduces widely-used mathematical methods for functions of a single variable. The emphasis is on the practical use of these methods and the mathematical package Maple will be used to support learning. The syllabus includes: complex numbers, polynomials, single variable calculus, scalar ordinary differential equations, curve sketching. 

MA349 Mathematical Methods II (15 credits)

This module introduces widely-used mathematical methods for vectors and functions of two or more variables. The emphasis is on the practical use of these methods and the mathematical package Maple will be used to support learning. The syllabus includes: vectors and vector algebra, including the differentiation of vector-valued functions of a scalar variable and vector fields (with everyday examples); partial differentiation, including maxima, minima and saddle points and Lagrange multipliers; integration in two dimensions using Cartesian and plane polar coordinates. 

MA351 Probability (15 credits)

This module introduces the basic concepts of probability. The techniques that are discussed can be used in their own right to solve simple problems, but also serve as an important foundation for later, more advanced, modules. The syllabus includes: concepts and axioms of probability, Bayes’ theorem, discrete and continuous random variables, expectation and variance, common distributions, probability and moment generating functions, weak law of large numbers, central limit theorem, transformation of a single continuous random variable, and joint distribution of discrete random variables. 

MA352 Real Analysis I (15 credits0

This module provides an introduction to real analysis, i.e. the study of real numbers and real-valued functions of a real variable. The syllabus includes: real numbers, limits of sequences, completeness properties, continuity of functions, differentiation, Taylor’s theorem and Taylor series.

Year 2

In the second year you will study the mathematics modules at the University of Kent and the mathematics education modules at Canterbury Christ Church University. You will study the following core modules:

MA5501 Applied Statistical Modelling I (15 credits)

Constructing suitable models for data is a key part of statistics. For example, we might want to model the yield of a chemical process in terms of the temperature and pressure of the process. Even if the temperature and pressure are fixed, there will be variation in the yield which motivates the use of a statistical model which includes a random component. In this module, we study how suitable models can be constructed, how to fit them to data and how suitable conclusions can be drawn. Both theoretical and practical aspects are covered, including the use of R.

MA5503 Groups and Symmetries (15 credits)

The concept of symmetry is one of the most fruitful ideas through which mankind has tried to understand order and beauty in nature and art. This module first develops the concept of symmetry in geometry. It subsequently discusses links with the fundamental notion of a group in algebra. Outline syllabus includes: Groups from geometry; Permutations; Basic group theory; Action of groups and applications to (i) isometries of regular polyhedra; (ii) counting colouring problems; Matrix groups.

Introduction to Professional Placement (10 credits)

You will gain first-hand experience of mathematics education through placements in local schools. Each student will experience classes from Key Stages 3 and 4 and will be given a range of responsibilities linked to the role of a teaching assistant in the first placement (Serial Placement). In the second placement (Block Placement) you will consolidate the learning that has taken place during the year, and provide a foundation for the year 3 education course.

You will be expected to critically reflect on different experiences you have had during these placements.

Mathematics Learner and Teacher (20 credits)

This module draws on own prior experiences and skills and develops them. Linking experiences and observations to theory to ensure that you have the pedagogic knowledge, skills and understanding in preparation for introduction to school experience.

The module aims to develop your knowledge and understanding of the mathematics curriculum and with the requirements and implications of National Curriculum documentation in order to inform your professional practice.

You will be required to critically reflect on particular issues and an aspect of secondary mathematics pedagogy, linking your observational and experiences to theory and literature.

And you can choose 60 credits (four modules) from the following:

MA5504 Lagrangian and Hamiltonian Dynamics (15 credits)

This module will present a new perspective on Newton's familiar laws of motion. First we introduce variational calculus with applications such as finding the paths of shortest distance. This will lead us to the principle of least action from which we can derive Newton's law for conservative forces. We will also learn how symmetries lead to constants of motion. We then derive Hamilton's equations and discuss their underlying structures. The formalisms we introduce in this module form the basis for all of fundamental modern physics, from electromagnetism and general relativity, to the standard model of particle physics and string theory.

MA5505 Linear parial Differential Equations (15 credits)

In this module you will study linear partial differential equations, exploring their properties and discussing the physical interpretation of certain equations and their solutions. You will learn how to solve first order equations using the method of characteristics and second order equations using the method of separation of variables.

MA5507 Mathematical Statistics (15 credits)

This module is a pre-requisite for many of the other statistics modules at Stages 2, 3 and 4, but it can equally well be studied as a module in its own right, extending the ideas of probability and statistics met at Stage 1 and providing practice with the mathematical skills learned in MA348 and MA349. It starts by revising the idea of a probability distribution for one or more random variables and looks at different methods to derive the distribution of a function of random variables. These techniques are then used to prove some of the results underpinning the hypothesis test and confidence interval calculations met at Stage 1, such as for the t-test or the F-test. With these tools to hand, the module moves on to look at how to fit models (probability distributions) to sets of data. A standard technique, the method of maximum likelihood, is used to fit the model to the data to obtain point estimates of the model parameters and to construct hypothesis tests and confidence intervals for these parameters. Outline Syllabus includes: Joint, marginal and conditional distributions of discrete and continuous random variables; Transformations of random variables; Sampling distributions; Point and interval estimation; Properties of estimators; Maximum likelihood; Hypothesis testing; Neyman-Pearson lemma; Maximum likelihood ratio test.

MA5512 Ordinary Differential Equations (15 credits)

This module introduces the basic ideas to solve certain ordinary differential equations, like first order scalar equations, second order linear equations and systems of linear equations. It mainly considers their qualitative and analytical aspects. Outline syllabus includes: First-order scalar ODEs; Second-order scalar linear ODEs; Existence and Uniqueness of Solutions; Autonomous systems of two linear first-order ODEs.

MA5514 Rings and Fields (15 credits)

Can we square a circle? Can we trisect an angle? These two questions were studied by the Ancient Greeks and were only solved in the 19th century using algebraic structures such as rings, fields and polynomials. In this module, you will be introduced to these ideas and concepts and show how they generalise well-known objects such as integers, rational numbers, prime numbers, etc. The theory is then applied to solve problems in Geometry and Number Theory. This part of algebra has many applications in electronic communication, in particular in coding theory and cryptography.

MA566 Number Theory (15 credits)

The security of our phone calls, bank transfers, etc. all rely on one area of Mathematics: Number Theory. This module is an elementary introduction to this wide area and focuses on solving Diophantine equations. In particular, we discuss (without proof) Fermat's Last Theorem, arguably one of the most spectacular mathematical achievements of the twentieth century. Outline syllabus includes: Modular Arithmetic; Prime Numbers; Introduction to Cryptography; Quadratic Residues; Diophantine Equations.

Year 3

During this year you will study the following core modules at Canterbury Christ Church University:

Subject Pedagogy I (20 credits) & II (20 credits)

These module equips you to teach mathematics and considers all key aspects of mathematics pedagogy. They are assessed through essays, critical reflection analysis and a presentation. 

Research and Enquiry in Education (20 credits)

This module will support you in reflecting on improving practice in the secondary age phase through research. It will equip you with a range of educational theories and philosophies to develop your own identity and practice as a reflective secondary teacher. The module will be assessed through an essay or an essay and a presentation. 

Professional Placement (20 credits)

This module encompasses your school placements and is assess through a collection of evidence against the Teachers’ Standards.

Preparing for Qualified Teacher Status (10 credits)

This module enables you to demonstrate your teaching and learning by developing a scheme of work, reflecting upon your decisions and collating evidence against the Teachers’ Standards.

We continually review and where appropriate, revise the range of modules on offer to reflect changes in the subject and ensure the best student experience.

And you will study the following core module at the University of Kent:

MA601 Individual Project in Mathematics (30 credits)

This module provides an opportunity for students on the Mathematics with Secondary Education programme to explore and research a topic in mathematics or statistics that is of interest to the student. Under the guidance of a supervisor, the student will engage in self-directed study to produce a dissertation. Outline syllabus: This is determined by the topic of the project. Indicative mathematics titles include the following: Knot theory; Logistic map; Totally non-negative matrices; Signed permutations and the four colour theorem; Generating functions; Latin squares; Teaching further Linear Algebra; Graph theory; Exploring mathematics with origami; Classical invariant theory; Zeta functions; Foundations of the real numbers; Euler's formula; Creative use of random numbers to teach Statistics; The National Lottery; Circular data.

The vast majority of our students go into employment as qualified teachers following completing the course. There are a number of study options available to former students of this course at Canterbury Christ Church University during the Newly Qualified Teacher (NQT) year and beyond, which lead to Masters degrees in Education.

‘Choosing to study BSc Secondary Mathematics with QTS was a great decision for me as I was sure that teaching mathematics was the career path I wanted to choose. This course gave me the opportunity to develop my mathematical skills further and to receive the teaching support I needed to be confident to deliver successfully in the classroom. I received excellent support through tutors at the University and also through mentors located at the schools I was placed in. I have recently been successful in completing my NQT year and have also been promoted to Pupil Premium Coordinator for Mathematics. The BSc course gave me amazing opportunities and I feel that I have benefitted greatly from the in-depth content of the course.’
Alice Crane

Fees

The 2019/20 annual tuition fees for this course are:

  UK / EU Overseas
Full-time £9,250 £11,900

Tuition fees for all courses are payable on an annual basis, except where stated.

Please read the 2019/20 Tuition Fee Statement for further information regarding 2019/20 tuition fees and year on year fee increases.

Additional course costs

Although we aim to minimise any additional costs to students over and above the course tuition fee, there will be some additional costs which students are expected to meet.

Costs applicable to all students

CategoryDescription
Text books Own purchase text books
Travel to other sites Where travel to other sites is required, this will be payable by the student
Library Fees and Fines Where students fail to return loaned items within the required time they will be responsible for the cost of any Library Fees and Fines applicable
Printing & Photocopying The cost of printing and photocopying undertaken by students to support their individual learning are payable by the student
Graduation ceremonies It is free for the student to attend the ceremony itself. Guest tickets and robe hire / photography are additional costs payable by the student

Course specific costs

CategoryDescription
Field Trips For optional/elected trips the student may need to cover all or part of the cost of entrance/venue fees, travel, accommodation, board (food/drink), vaccinations or Visa and insurance costs (for international trips), if applicable
Placements

Travel and food/drink.

For international placements there may also be accommodation, vaccination, Visa and Insurance costs.

Text books Most core texts are available in the library as a physical copy or available through the e-library. However, there may be some core texts that students wish to purchase or that are recommended for purchase by the programme.
DBS Checks There is a charge made for this process of £52
Occupational Health Checks Students may need to pay their GP to complete the appropriate section of the Occupational Health Questionnaire.
Qualifications Checks These checks may incur costs (i.e. if a student needs to request a new certificate, pay for admin to process the checks, postage etc.)
Professional Skills Tests

All students on Initial Teacher Training courses are required to pass the Department of Education Skills Tests in Literacy and Numeracy prior to commencing the course. The first three attempts at the professional skills tests are free of charge. After the third attempt, the test centre will make a charge for each subject retaken. 

Travel to campuses and other teaching locations (particularly for use of specialist facilities)

The student will need to travel to University facilities, as well as any taught sessions in schools, swimming pools and other locations as timetabled.

The dedicated mini buses which travel to Canterbury sites, such as Augustine House, Hall Placement and Polo Farm may be utilised in some instances and these are free of charge for students.

Clothing / Kit Students would need to purchase their own clothes for PE sessions including trainers and comfortable clothing.
Learning Materials

Students may wish to purchase their own materials, such as teaching resources.

There are materials available in sessions and for students to borrow from the University Library. However, if should wish to buy their own, they will need to cover the cost of this.

Social Events & Conferences

Sometimes there are social events which students are invited to book on or attend to enhance their experience. These events can also be an opportunity for students to network with their peers and/or specialists in their field. These can be held on campus or be held and run externally- either in the UK or Internationally.

For optional events, students will be expected to pay for travel, accommodation (if applicable), and any entrance/booking fees.

General principle policy

The University’s general principles policy for additional course fees are set out here

CategoryIncluded in the tuition feeAdditional cost to student
Field trips (including trips abroad and trips to museums, theatres, workshops etc) No, if the trip contributes to the course as an optional module. Yes if the trip is optional.
Travel and accommodation costs for placements  No

Travel and accommodation costs for professional placements within the Education and Health & Wellbeing Faculties.

Travel and accommodation costs for other work placements. 
Text books No Own purchase text books.
DBS / Health checks No Yes
Professional Body registration No Yes
Travel to other sites (e.g. travel to swimming pool for lessons) No Yes
Clothing / Kit Yes, where the clothing / kit is essential for Health & Safety reasons. Yes, where the clothing is kept by the student and not essential for health and safety reasons.
Learning materials Essential learning materials (excluding text books) in connection with the course. Additional materials beyond the standard provision essential for the course or where the costs are determined by the student’s area of interest and the outputs are retained by the student.
Library fees and fines No Yes
Printing and photocopying No Yes
Social events No, unless the event forms an essential part of the course. Yes, unless the event forms an essential part of the course.
Graduation ceremonies It is free for the student to attend the ceremony itself. Guest tickets and robe hire/ photography are additional costs payable by the student.

Different modules in each year are delivered in different ways through a balanced combination of lectures, seminars, placements in school, self-study time and tutorials. Normally a 20 credit module carries a study time of 200 hours. 50- 60 hours of this is completed via university contact days or directed tasks completed at home. The remaining 140-160 hours per 20 credit module consists of self-directed self-study that is completed in your own time.

Academic input

You will be taught by senior lecturers who are very experienced; drawing on their complementary expertise in mathematics and mathematics education. All the teaching staff have extensive experience in teaching mathematics in a variety of secondary schools and have held a range of different roles and responsibilities. Secondary mathematics teachers will also provide you with guidance and support as your mentor whilst you are on placement in school.

Surprising terms

You will need to pass all school based placement modules in order to be recommended for Qualified Teacher Status.

You should also be aware that this course is subject to special regulations.

There are different methods of assessment used throughout the course, which include examinations and coursework. All placement modules are assessed via formal observation of teaching and assessment of evidence collated.

Canterbury Christ Church University will recommend to the Department for Education that successful students be awarded Qualified Teacher Status (QTS).

You will be able to use all the facilities of both Universities throughout the course and are treated as students of both institutions.

Placements are provided by partnership schools in and around Kent and Medway.

All our tutors are extensively networked with relevant mathematics organisations, such as the National Centre for Excellence in the Teaching of Mathematics.

UK/EU

Full-time study

Apply via UCAS

International

Full-time study

Need some help?

UK

For advice on completing your application please contact the Course Enquiry Team:

Email:  courses@canterbury.ac.uk
Tel: +44 (0)1227 928000
Tel:+44 (0)1227 928000  (0)1227 928000

EU/International

Contact our International Team

Fact file

UCAS course code

  • G1X1 Mathematics with Secondary Education

UCAS institution code

  • C10

Length

  • 3 years full-time

Starts

  • September 2019

Entry requirements

  • A typical offer would be 104-112 UCAS Tariff points.

    An A2 level at grade B in Mathematics is required. GCSE English Language and Mathematics at grade C or above (or acceptable equivalents) are also required.

    You are required to undertake and pass Professional Skills Tests set by DfE in Literacy and Numeracy.

    More entry requirement details.

Location

School

Last edited 08/08/2019 10:36:00

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Last edited: 08/08/2019 10:36:00