b.a. in mathematics & Education - year 2

Semester 1:

Philosophical Foundations of Education (5 ECTS): This module combines a series of lectures with individual and collaborative tasks designed to promote independent student learning. Students research a selection of philosophers and their views and influences on historical developments in philosophies of education, mathematics, and mathematics education. Learning in this course will also help students prepare their personal philosophies of education.

Mathematics Curriculum Studies (5 ECTS): This module involves a detailed consideration of the mathematics on the Irish second level syllabi, its context, its background, its history and its ramifications. Students will complete this module shortly before starting their first teaching practice session.

Geometry (5 ECTS): This module consists of a comprehensive study of classical Euclidean geometry as well as coordinate geometry and transformation geometry. Emphasis will be on deductive reasoning and on the construction and presentation of mathematical proofs.

Probability (5 ECTS): Topics include definition of probability, probability and counting problems, Bayes Theorem, probability distributions, discrete and continuous random variables, the binomial, normal and Poisson distributions.

Semester 2:

Linear Algebra (5 ECTS): Topics include systems of linear equations, Gauss-Jordan elimination, general matrix algebra, diagonalization, Markov processes and applications; Introduction to abstract linear algebra: vector spaces, dimension, bases.

Advanced Calculus (5 ECTS): Topics include differential calculus of functions of several variables; Gradients and tangent planes. Lagrange Multipliers; Introduction to vector calculus and its applications.

Statistics (5 ECTS): Populations and sample; data collection; graphical and numerical summaries; estimation, bias and variability; confidence intervals; hypothesis testing including Type I and Type II errors; analysis of enumerative data; correlation and regression.

Full-Year Modules:

Mathematics Methodology and Skills of Teaching (10 ECTS): This module addresses issues of professional practice regarding lesson planning, teaching, assessment, classroom management, contributing positively to the school environment and interacting with members of the school community. Students will also explore contemporary issues in Mathematics Education in Ireland and a variety of effective methods for teaching mathematics with a specific focus on the Junior Certificate and Leaving Certificate syllabi.

Practical Teaching Programme: (15 ECTS): As a full-year module, student will gain a range of practical experience through a variety of programmes, including a continuation of service learning (Semester 1), microteaching (Semester 1), and 30 hours of school-based classroom teaching practice (Semester 2).

• Disclaimer
• Privacy
• Copyright
• Accessibility