This programme is aimed at students who want to develop dual, but complementary, identities of mathematician/applied mathematician and pedagogue in order to pursue professional careers as post-primary mathematics and applied mathematics teachers. We value, and therefore encourage our students to develop, indepth specialist content knowledge in mathematics and applied mathematics, which, when combined with strong pedagogical expertise, the skill of critically reflecting on practice, an appreciation and knowledge of educational research, and a commitment to professional development, enables students to develop, and continue to develop throughout their careers, strong pedagogical content knowledge. We value, and therefore encourage our students to foster, a growth mindset and constructivist approach to learning and teaching mathematics and applied mathematics, in order to be critically engaged professionals committed to inclusive, caring, innovative, enthusiastic and inspirational teaching. We seek to ensure that all students on the programme develop the leadership and collaborative skills to positively impact the quality of post-primary mathematics and applied mathematics education in Ireland through classroom-based research and ongoing critical engagement with curriculum content. We aim to ensure that graduates are equipped to contribute, as professionals, to the wider educational goals of post-primary schools and ongoing developments within the broader education community. We aim to create a learning environment where students can develop their full potential as mathematician/applied mathematician and pedagogue in a research-intensive environment with state-of-art facilities. School placements play an essential role in the learning experience and assessment methods include reflective writing, report writing, presentations, lesson study, microteaching, and the creation of a professional portfolio. By including school placements from year one, the learning environment will constantly encourage the student to connect mathematical, scientific and educational theory with practice. In addition to lectures and tutorials, many of the education classes are conducted in active-learning environments where students are encouraged to contribute to, and actively participate in, class.
- School
- School of Mathematics and Statistics
- Attendance
- Full Time
- Level
- Undergraduate
- NFQ Level
- 8
- Award
- Bachelor of Science
- Mode of Delivery
- On Campus
- Programme Director
- Assoc Professor Edward Cox
- Overall Programme Credits:
- 240
- Programme Credits:
- Stage 1
Core/Option: 55 Electives: 5
Stage 2
Core/Option: 50 Electives: 10
Stage 3
Core/Option: 50 Electives: 10
Stage 4
Core/Option: 60 Electives: 0 - Major/Minor Core & Option Credits:
- Stage 3: 50
Stage 4: 60
Curricular information is subject to change.
2 - • Demonstrate an indepth knowledge of educational theories as related to mathematics and science education
3 - • Demonstrate an indepth knowledge of educational philosophy, sociology, psychology, curriculum and assessment, and the Irish education system, and an awareness of how age, culture and context play a role in students' learning
4 - • Apply a scientific approach – questioning, hypothesizing, testing, and evaluating – to problem-solving
5 - • Communicate and present mathematical and scientific ideas creatively in a variety of forms (e.g. oral, written, video) with confidence and enthusiasm
6 - • Design and plan innovative, student-focused, content-based lessons, while remaining open to noticing and incorporating student thinking, and making in-the-moment decisions, in the classroom
7 - • Manage a classroom in a socially equitable manner that encourages the formation of positive student identity and encourages student interactions and contributions
8 - • Critically reflect on his/her practice and engage with educational research, in order to consistently take a “fresh” approach to teaching and developing professionally
9 - • Inspire and motivate students of mathematics and applied mathematics by being inclusive, caring, innovative, enthusiastic and inspirational teachers, who foster a constructivist, reform approach to learning and teaching, and encourage them to reach their highest potential
10 - • Inspire and scaffold students to a high level of engagement with learning as a holistic and life-long endeavour
11 - • Recognise the importance of constantly engaging in professional development to improve practice, and use educational research as a lens to engage in reflective practice
12 - • Engage positively with the mathematics and applied mathematics community both inside and outside of educational spheres, and be positive role models as UCD graduates of mathematics and applied mathematics.
Where the rate of progression and performance over two academic years is deemed unacceptable, a case will be submitted to the Governing Board for review. A recommendation for discontinuation may be the outcome of this review.
As Stages 3 and 4 have the most dynamic components of the programme, and the material studied previously may no longer be relevant, a student who has been away from the programme for a significant period should be required to register again to Stage 3. The upper limit for completion of Stages 3 and 4 should be six years if they choose to do 120 credits with 20 in each year.
Stage 3
Students take 7 core modules and 3 option modules. Students must take PSY10050 and MST30070 in Stage 3 or Stage 4.
Stage 4
Students take 6 Core modules and 20 credits of option modules. Students must take MST30070 and PSY10050 in Stage 4 if not taken in Stage 3.
Below is a list of all modules offered for this degree in the current academic year. Click on the module to discover what you will learn in the module, how you will learn and assessment feedback profile amongst other information.
Incoming Stage 1 undergraduates can usually select an Elective in the Spring Trimester. Most continuing undergraduate students can select up to two Elective modules (10 Credits) per stage. There is also the possibility to take up to 10 extra Elective credits.
Trimester | Credits | |||
---|---|---|---|---|
Stage 3 Core Modules |
ACM30130 | Advanced Computational Science | Autumn | 5 |
Stage 3 Core Modules |
ACM30190 | Dynamical Systems | Autumn | 5 |
Stage 3 Core Modules |
ACM30220 | Partial Differential Equations | Autumn | 5 |
Stage 3 Core Modules |
MATH30340 | Peer-Assisted Tutoring | Autumn | 5 |
Stage 3 Core Modules |
EDUC30050 | Schools and Society | Spring | 5 |
Stage 3 Core Modules |
MATH30040 | Complex Analysis | Spring | 5 |
Stage 3 Core Modules |
MATH30390 | Mathematics Pedagogy & Curriculum in Placement | Spring | 5 |
Stage 3 Options - C) Min 0 of: Students should take PSY10050 and MST30070 in Stage 3 or Stage 4. |
PSY10050 | Introduction to Psychology | Autumn and Spring (separate) | 5 |
Stage 3 Options - C) Min 0 of: Students should take PSY10050 and MST30070 in Stage 3 or Stage 4. |
MST30070 | Differential Geometry | Spring | 5 |
Stage 3 Options - D) Min 1 of: Students must complete 50 credits from programme (core/option) modules in Stage 3. Students may take 10 credits from elective modules or additional option modules from this list to complete 60 credits for Stage 3. Students must ensure they have 40 credits at Level 3. |
ACM41020 | Maths of Machine Learning | Autumn | 5 |
Stage 3 Options - D) Min 1 of: Students must complete 50 credits from programme (core/option) modules in Stage 3. Students may take 10 credits from elective modules or additional option modules from this list to complete 60 credits for Stage 3. Students must ensure they have 40 credits at Level 3. |
MATH30030 | Advanced Linear Algebra | Autumn | 5 |
Stage 3 Options - D) Min 1 of: Students must complete 50 credits from programme (core/option) modules in Stage 3. Students may take 10 credits from elective modules or additional option modules from this list to complete 60 credits for Stage 3. Students must ensure they have 40 credits at Level 3. |
MATH30090 | Metric Spaces | Autumn | 5 |
Stage 3 Options - D) Min 1 of: Students must complete 50 credits from programme (core/option) modules in Stage 3. Students may take 10 credits from elective modules or additional option modules from this list to complete 60 credits for Stage 3. Students must ensure they have 40 credits at Level 3. |
MATH30360 | Measure Theory and Integration | Autumn | 5 |
Stage 3 Options - D) Min 1 of: Students must complete 50 credits from programme (core/option) modules in Stage 3. Students may take 10 credits from elective modules or additional option modules from this list to complete 60 credits for Stage 3. Students must ensure they have 40 credits at Level 3. |
PHYC30030 | Quantum Mechanics | Autumn | 5 |
Stage 3 Options - D) Min 1 of: Students must complete 50 credits from programme (core/option) modules in Stage 3. Students may take 10 credits from elective modules or additional option modules from this list to complete 60 credits for Stage 3. Students must ensure they have 40 credits at Level 3. |
STAT20230 | Modern Regression Analysis | Autumn | 5 |
Stage 3 Options - D) Min 1 of: Students must complete 50 credits from programme (core/option) modules in Stage 3. Students may take 10 credits from elective modules or additional option modules from this list to complete 60 credits for Stage 3. Students must ensure they have 40 credits at Level 3. |
STAT30090 | Models - Stochastic Models | Autumn | 5 |
Stage 3 Options - D) Min 1 of: Students must complete 50 credits from programme (core/option) modules in Stage 3. Students may take 10 credits from elective modules or additional option modules from this list to complete 60 credits for Stage 3. Students must ensure they have 40 credits at Level 3. |
SUST10010 | Introduction to Sustainability | Autumn | 5 |
Stage 3 Options - D) Min 1 of: Students must complete 50 credits from programme (core/option) modules in Stage 3. Students may take 10 credits from elective modules or additional option modules from this list to complete 60 credits for Stage 3. Students must ensure they have 40 credits at Level 3. |
ACM30020 | Applied Analysis | Spring | 5 |
Stage 3 Options - D) Min 1 of: Students must complete 50 credits from programme (core/option) modules in Stage 3. Students may take 10 credits from elective modules or additional option modules from this list to complete 60 credits for Stage 3. Students must ensure they have 40 credits at Level 3. |
ACM30070 | Computational Finance | Spring | 5 |
Stage 3 Options - D) Min 1 of: Students must complete 50 credits from programme (core/option) modules in Stage 3. Students may take 10 credits from elective modules or additional option modules from this list to complete 60 credits for Stage 3. Students must ensure they have 40 credits at Level 3. |
ACM30090 | Mathematical Biology | Spring | 5 |
Stage 3 Options - D) Min 1 of: Students must complete 50 credits from programme (core/option) modules in Stage 3. Students may take 10 credits from elective modules or additional option modules from this list to complete 60 credits for Stage 3. Students must ensure they have 40 credits at Level 3. |
ACM30110 | Advanced Computational Finance | Spring | 10 |
Stage 3 Options - D) Min 1 of: Students must complete 50 credits from programme (core/option) modules in Stage 3. Students may take 10 credits from elective modules or additional option modules from this list to complete 60 credits for Stage 3. Students must ensure they have 40 credits at Level 3. |
ACM30140 | Numerical Methods for PDEs | Spring | 5 |
Stage 3 Options - D) Min 1 of: Students must complete 50 credits from programme (core/option) modules in Stage 3. Students may take 10 credits from elective modules or additional option modules from this list to complete 60 credits for Stage 3. Students must ensure they have 40 credits at Level 3. |
ACM30200 | Mathematical Fluid Dynamics I | Spring | 5 |
Stage 3 Options - D) Min 1 of: Students must complete 50 credits from programme (core/option) modules in Stage 3. Students may take 10 credits from elective modules or additional option modules from this list to complete 60 credits for Stage 3. Students must ensure they have 40 credits at Level 3. |
ACM30210 | Foundations of Quantum Theory | Spring | 5 |
Stage 3 Options - D) Min 1 of: Students must complete 50 credits from programme (core/option) modules in Stage 3. Students may take 10 credits from elective modules or additional option modules from this list to complete 60 credits for Stage 3. Students must ensure they have 40 credits at Level 3. |
MATH30120 | Topology | Spring | 5 |
Stage 3 Options - D) Min 1 of: Students must complete 50 credits from programme (core/option) modules in Stage 3. Students may take 10 credits from elective modules or additional option modules from this list to complete 60 credits for Stage 3. Students must ensure they have 40 credits at Level 3. |
MATH30250 | Cryptography: Theory & Practice | Spring | 5 |
Stage 4 Core Modules |
EDUC42180 | Professional Placement & Portfolio 1 | 2 Trimester duration (Aut-Spr) | 20 |
Stage 4 Core Modules |
ACM40690 | Applied Complex Variables | Autumn | 5 |
Stage 4 Core Modules |
EDUC43930 | Maths/Applied Maths Methods 1A | Autumn | 2.5 |
Stage 4 Core Modules |
MATH40810 | Mathematics Pedagogy for Classroom Practice | Autumn | 5 |
Stage 4 Core Modules |
EDUC42840 | Maths Pedagogy in Placement | Spring | 5 |
Stage 4 Core Modules |
EDUC43940 | Maths/Applied Maths Methods 1B | Spring | 2.5 |
Stage 4 Options - A) Min 0 of: Students should take PSY10050 or MST30070 in Stage 3 or Stage 4. |
PSY10050 | Introduction to Psychology | Autumn and Spring (separate) | 5 |
Stage 4 Options - A) Min 0 of: Students should take PSY10050 or MST30070 in Stage 3 or Stage 4. |
MST30070 | Differential Geometry | Spring | 5 |
Stage 4 Options - B) Min 2 of: Students may choose their remaining credits from this list to complete Stage 4. Students who wish to take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit. |
ACM40980 | Research Project | 2 Trimester duration (Aut-Spr) | 10 |
Stage 4 Options - B) Min 2 of: Students may choose their remaining credits from this list to complete Stage 4. Students who wish to take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit. |
ACM30190 | Dynamical Systems | Autumn | 5 |
Stage 4 Options - B) Min 2 of: Students may choose their remaining credits from this list to complete Stage 4. Students who wish to take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit. |
ACM40010 | Electrodynamics & Gauge Theory | Autumn | 5 |
Stage 4 Options - B) Min 2 of: Students may choose their remaining credits from this list to complete Stage 4. Students who wish to take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit. |
ACM40070 | Math Fluid Dynamics II | Autumn | 5 |
Stage 4 Options - B) Min 2 of: Students may choose their remaining credits from this list to complete Stage 4. Students who wish to take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit. |
ACM41020 | Maths of Machine Learning | Autumn | 5 |
Stage 4 Options - B) Min 2 of: Students may choose their remaining credits from this list to complete Stage 4. Students who wish to take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit. |
EDUC42120 | Educating Ireland PME | Autumn | 5 |
Stage 4 Options - B) Min 2 of: Students may choose their remaining credits from this list to complete Stage 4. Students who wish to take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit. |
MST30020 | History of Mathematics | Autumn | 5 |
Stage 4 Options - B) Min 2 of: Students may choose their remaining credits from this list to complete Stage 4. Students who wish to take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit. |
PSY20020 | Child & Adolescent Development | Autumn | 5 |
Stage 4 Options - B) Min 2 of: Students may choose their remaining credits from this list to complete Stage 4. Students who wish to take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit. |
SCI30080 | Professional Placement-Science | Autumn | 5 |
Stage 4 Options - B) Min 2 of: Students may choose their remaining credits from this list to complete Stage 4. Students who wish to take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit. |
SUST10010 | Introduction to Sustainability | Autumn | 5 |
Stage 4 Options - B) Min 2 of: Students may choose their remaining credits from this list to complete Stage 4. Students who wish to take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit. |
ACM30090 | Mathematical Biology | Spring | 5 |
Stage 4 Options - B) Min 2 of: Students may choose their remaining credits from this list to complete Stage 4. Students who wish to take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit. |
ACM30140 | Numerical Methods for PDEs | Spring | 5 |
Stage 4 Options - B) Min 2 of: Students may choose their remaining credits from this list to complete Stage 4. Students who wish to take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit. |
ACM30210 | Foundations of Quantum Theory | Spring | 5 |
Stage 4 Options - B) Min 2 of: Students may choose their remaining credits from this list to complete Stage 4. Students who wish to take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit. |
DSCY10060 | Energy, Climate Change & Policy | Spring | 5 |
Stage 4 Options - B) Min 2 of: Students may choose their remaining credits from this list to complete Stage 4. Students who wish to take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit. |
MATH30120 | Topology | Spring | 5 |
Stage 4 Options - B) Min 2 of: Students may choose their remaining credits from this list to complete Stage 4. Students who wish to take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit. |
MATH30250 | Cryptography: Theory & Practice | Spring | 5 |
Stage 4 Options - B) Min 2 of: Students may choose their remaining credits from this list to complete Stage 4. Students who wish to take PSY20020 must have taken PSY10050 in Stage 3. Students who successfully complete an internship in the summer term betweeen Stage 3 and Stage 4 will be registered to SCI30080 Professional Placement module for Stage 4 credit. |
MATH30370 | Markov Chains | Spring | 5 |
Module Weighting Info
Award | GPA | ||||
---|---|---|---|---|---|
Programme | Module Weightings | Rule Description | Description | ||
BHSCI001 | Stage 4 - 70.00% Stage 3 - 30.00% |
Standard Honours Award | First Class Honours | 3.68 |
4.20 |
Second Class Honours, Grade 1 | 3.08 |
3.67 |
|||
Second Class Honours, Grade 2 | 2.48 |
3.07 |
|||
Pass | 2.00 |
2.47 |