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Latest Module Specifications

Current Academic Year 2025 - 2026

Module Title Teaching & Learning in Mathematics Education
Module Code EDS1062 (ITS: ES563)
Faculty STEM Ed, Innov, Global Studies School DCU Institute of Education
NFQ level 9 Credit Rating 5
Description

This module will introduce student teachers to Mathematics as an area of learning in post-primary education in Ireland. Participating in this module will develop knowledge and understanding of how classroom practice meets curricular framework requirements for Junior and Senior Cycle Mathematics. The module aims to develop student teachers' mathematics pedagogical content knowledge/mathematical knowledge for teaching, and their personal and professional identities as educators. Student teachers will be supported in becoming responsive and reflective practitioners, through individual and collaborative engagement. The module will explore how practice is underpinned by theory in the context of professional learning. Student teachers will examine the role of inclusive practice and care in the creation of equitable and sustainable learning experiences for all students. Engaging in this module will advance student teachers' communicative, digital and interpersonal skills and enable them to establish effective and creative learning environments.

Learning Outcomes

1. Critically engage with the Junior and Senior Cycle curricular guidelines for Mathematics, with particular reference to curricular reform.
2. Reflect on their emerging professional identity as subject experts and autonomous practitioners and on their capacity to foster professional relationships with students, parents, colleagues and members of the wider school community and teaching profession.
3. Critically evaluate and reflect on the theoretical underpinnings of a range of methods and resources to support and encourage students to take ownership of their learning through individual and collaborative engagement.
4. Devise and develop differentiated and inclusive teaching, learning and assessment strategies that enable all students to progress in accordance with their potential.
5. Appreciate how inclusive, equitable and responsive practices and content positively impact student wellbeing, social justice and sustainable development.
6. Design learning experiences that support the development of a creative mindset.
7. Explore the role of digital technologies in supporting teaching, learning and assessment for all students.
8. Demonstrate a capacity to promote numeracy and literacy in relation to subject discipline.


WorkloadFull time hours per semester
TypeHoursDescription
Workshop24Workshops where students engage with core module content, participate in and reflect on modelled teaching episodes
Online activity10Synchronous and asynchronous lectures discussing and engaging with core module learning
Group work15Collaborative lesson and task design and subject based collegial activities
Independent Study50Individual lesson and task design, resource preparation, reflection and evaluation of teaching, reading
Assignment Completion26Designing subject specific learning experiences, including the alignment of theory and practice.
Total Workload: 125
Section Breakdown
CRN10505Part of TermSemester 1 & 2
Coursework0%Examination Weight0%
Grade Scale40PASSPass Both ElementsY
Resit CategoryRC1Best MarkN
Module Co-ordinatorAoibhinn Ní ShúilleabháinModule TeacherIrene White, Majella Mcsharry, Paul Grimes
Assessment Breakdown
TypeDescription% of totalAssessment Date
PortfolioThe design of teaching, learning and assessment experiences with research informed rationale and self-critical learning opportunities based on individual and collaborative reflection.100%Week 26
Reassessment Requirement Type
Resit arrangements are explained by the following categories;
RC1: A resit is available for both* components of the module.
RC2: No resit is available for a 100% coursework module.
RC3: No resit is available for the coursework component where there is a coursework and summative examination element.

* ‘Both’ is used in the context of the module having a coursework/summative examination split; where the module is 100% coursework, there will also be a resit of the assessment

Pre-requisite None
Co-requisite None
Compatibles None
Incompatibles None

All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml

Indicative Content and Learning Activities

Introduction to mathematics Pedagogical Content Knowledge & Mathematical Knowledge for Teaching
Introduction to subject specific inclusive pedagogical practices through modelled workshops and demonstrations. Explore, develop and reflect on teaching, learning and assessment practices in workshops and online lectures.

Core Values of Teaching and Professional Practice
Development of core values of teaching including care, collegiality, collaboration, relationship building and student-centred learning through engagement in professional learning communities.

The Teacher/Facilitator as Curriculum Maker and Reflective Practitioner
Synthesise key curricular and pedagogical concepts through Junior and Senior Cycle lesson design, implementation and reflection to construct a professional vision of quality teaching, learning and assessment.

Theory and Practice
Engagement with relevant learning artefacts (e.g. curricular resources, digital and sensory stimuli, academic literature, policy documents etc.) to understand the relationship between theory and practice.

Methodologies for Teaching Mathematics
Teaching for Robust Understanding: Task design for inclusive and equitable classrooms in mathematics, including considerations for mathematical concept development, cognitive demand of tasks, student agency and equitable access to mathematical content; Classroom tasks and activities to support students in developing increasingly sophisticated and refined mathematical understanding, fluency, reasoning, computational thinking and problem solving; Mathematical talk for whole class, small group and student teacher interactions, including sense making and argumentation discourse in mathematics; Digital technologies for mathematics, including digital manipulatives, simulations and dynamic geometric software; Participative learning methods including group work, pair work, and game-based learning activities.

Indicative Reading List

Books:
  • John Mason,Sue Johnston-Wilder: 2004, Fundamental Constructs in Mathematics Education, Psychology Press, 339, 9780415326988
  • John A. Van de Walle, LouAnn H. Lovin: 2006, Teaching student-centered mathematics, Pearson Allyn & Bacon, Boston, 0205417973
  • Anne Watson,Keith Jones,Dave Pratt: 2013, Key Ideas in Teaching Mathematics, Oxford University Press, 259, 9780199665518
  • Zalman Usiskin... [et al.]: 2003, Mathematics for high school teachers, Pearson Education, Upper Saddle River, N.J., 0130449415
  • Marian Small: 2017, Good Questions, Teachers College Press, 176, 9780807758540
  • Ed Southall: 2021, Yes, But Why? Teaching for Understanding in Mathematics, Corwin Limited, 408, 9781526492500


Articles:
None
Other Resources

  • 1: Website, Project Maths,
  • 415997: 1, Website, Pearson Math Lab, 2013, Pearson Math Lab,
  • http://global.mymathlabglobal.com:

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