Module overview
This module offers an opportunity to learn about mathematics education. We explore different perspectives on the teaching and learning of mathematics drawing on research and theoretical considerations. You will also experience a range of research-informed activities exploring numbers (numeracy), data (probability and statistics), algebra and geometry (National Curriculum content to GCSE level or equivalent). You will also reflect on learners’ experiences (including your own), connecting them to educational theories and empirical research.
This module is recommended for anyone interested in mathematics; and particularly for those considering careers in either teaching or education research.
Aims and Objectives
Learning Outcomes
Subject Specific Intellectual and Research Skills
Having successfully completed this module you will be able to:
- Identify and reflect critically across aspects of mathematics education and their application in educational contexts and policies.
- Systematically analyse educational concepts, theories and issues of policy relating to mathematics education.
- Locate and justify your personal position in relation to mathematics education research and theories.
- Select and apply a range of relevant theoretical and research-based evidence (primary and secondary sources), to extend your knowledge and understanding of mathematics education.
Knowledge and Understanding
Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:
- The complexity of the interaction between learning and contexts, and the range of ways in which participants (including learners and teachers) can influence the learning process within mathematics education.
- Societal and organisational structures (including international comparisons) and purposes of educational systems (e.g. the national curriculum), and the possible implications for learners and the learning process within Mathematics Education.
Transferable and Generic Skills
Having successfully completed this module you will be able to:
- Articulate your own approaches to learning and organise an effective work pattern including working to deadlines.
- Organise and articulate opinions and arguments in speech, writing and other appropriate media using relevant specialist vocabulary.
Syllabus
Typically this module will cover:
- Learning and teaching mathematics focusing on different mathematical domains (e.g., numeracy, statistics, algebra, geometry)
- Theoretical considerations regarding the learning and teaching of mathematics
- Research-informed perspectives on learning and teaching mathematics
- Contemporary issues in mathematics education
Learning and Teaching
Teaching and learning methods
This module is taught through a mix of interactive lectures and seminars groups along with directed reading and suggested additional research material.
| Type | Hours |
|---|---|
| Independent Study | 128 |
| Teaching | 22 |
| Total study time | 150 |
Resources & Reading list
Textbooks
Polya, G (1962). Mathematical Discovery: on understanding, learning, and teaching problem solving.. New York: Wiley.
Johnston-Wilder, S. & Mason, J (2005). Developing Thinking in Geometry. London: Paul Chapman.
Mason, J. H. and Johnston-Wilder, S. J. (2004). Fundamental Constructs in Mathematics Education. London: Routledge Falmer.
Cockburn, A. D., & Littler, G (2008). Mathematical misconceptions: A guide for primary teachers. Sage.
Boaler, J. (2016). Mathematical Mindsets. San Francisco: Jossey- Bass.
Mason, J (1991). Learning and Doing Mathematics. Basingstoke: Macmillan.
Carpenter, T. P., Dossey, J. & Koehler, J (2004). Classics in Mathematics Education Research.. Reston, VA: National Council of Teachers of Mathematics.
Mason, J. with Johnston-Wilder, S. & Graham, A. (2005). Developing Thinking in Algebra. London: Paul Chapman.
Haylock, D., & Cockburn, A. D (2003). Understanding mathematics in the lower primary years: A guide for teachers of children. Sage.
Boaler, J. The Elephant in the Classroom: Helping Children Learn and Love Maths. London: Souvenir Press.
Assessment
Formative
This is how we’ll give you feedback as you are learning. It is not a formal test or exam.
Reflective Journal
- Assessment Type: Formative
- Feedback:
- Final Assessment: No
- Group Work: No
Summative
This is how we’ll formally assess what you have learned in this module.
| Method | Percentage contribution |
|---|---|
| Group presentation | 15% |
| Coursework | 25% |
| Written assignment | 60% |
Referral
This is how we’ll assess you if you don’t meet the criteria to pass this module.
| Method | Percentage contribution |
|---|---|
| Written assignment | 65% |
| Coursework | 35% |
Repeat
An internal repeat is where you take all of your modules again, including any you passed. An external repeat is where you only re-take the modules you failed.
| Method | Percentage contribution |
|---|---|
| Coursework | 35% |
| Written assignment | 65% |
Repeat Information
Repeat type: Internal & External