b.a. in mathematics & Education - year 3

Semester 1:

Curriculum and Assessment (5 ECTS): In this module, students examine principles, theories and international trends in curriculum and assessment and engage in the curriculum planning process with a particular focus on contemporary issues in Irish curriculum policy and practice. 

Practical Teaching Programme: Special Educational Needs (5 ECTS): Student teachers will complete 20hrs in the classroom with a focus on issues of catering for diverse learners and accommodating students with special educational needs. Tasks will engage student teachers in designing learning activities and creating resources and materials to support a variety of learning needs.

History of Mathematics (5 ECTS): A selection of topics concerned with the ancient and recent history of mathematical thinking, and the development of modern mathematics. Topics will include the history of number theory, the history of geometry, the history of calculus, and major developments in the last century.

Discrete Mathematics (5 ECTS): This module offers an introduction to combinatorial mathematics, including the following topics: enumeration techniques, permutations and combinations, graph theory, algorithms and applications.

Semester 2:

Professional Studies: Integrated Project (5 ECTS): In this module, students draw from learning throughout the programme to design their own summer programme. In a collaborative effort, they consider important issues of school organisation, administration, curriculum design and teaching and learning to develop a two-week mathematics enrichment programme for local second-level pupils. On an administrative level, students create a programme handbook, outlining its aims, structure and policies. They design the curriculum based on the potential pupils, advertise their programme and offer it during the summer as part of their Practical Teaching Programme.

Mathematical Software (5 ECTS): The aim of this module will be to introduce students to the many software packages that are available to mathematicians for various purposes including  research, learning, teaching, preparation of presentations and mathematical typesetting.  

Complex Variables (5 ECTS): This module entails a detailed study of the theory of complex numbers including their arithmetic properties and an introduction to the analysis of functions of one complex variable. Topics to be covered include : De Moivre’s theorem, roots of unity, analytic functions and the Cauchy-Riemann equations, Cauchy’s Integral Theorem, the Residue Theorem and applications.

Full-Year Modules:

Psychology, Sociology and Catering for Diversity (10 ECTS): This module presents a range of theoretical perspectives in Psychology and Sociology and offers practical support for both meeting diverse educational needs and managing important variables such as social class, race and ethnicity in the context of the post-primary school. The focus is on preparation for promoting educational inclusion in diverse settings and developing strategies for supporting the needs of diverse learners in the mainstream classroom.  

Applied Mathematics: Mathematical Modeling (10 ECTS): In these modules students will investigate applications of mathematical and statistical theory and uses of mathematical models in diverse fields.

Summer Session:

Practical Teaching Programme: Mathematics Enrichment Programme (5 ECTS): This programme will run during the summer following Year 3. Student teachers are notified of this component from Year 1 so that they can plan for it in advance; however, in the case that someone is unable to participate outside of the University’s regular academic timetable, s/he may petition for completion of an alternative placement during the semester but must still partake in all planning and preparation efforts throughout the semester.

• Disclaimer
• Privacy
• Copyright
• Accessibility