MPRE102
Teaching and Learning Mathematics in the Primary Classroom

ECTS Value: 4 ECTS

Contact Hours: 20

Self Study Hours: 48

Assessment Hours: 32

 

Overall Objectives and Outcomes

This module focuses on strengthening course participants’ understanding of mathematics pedagogy and assessment while building their confidence in delivering engaging and meaningful instruction.

Through this module, course participants will explore a variety of teaching strategies designed to support diverse learners. They will learn how to develop structured and well-planned schemes of work and lesson plans that align with the Maltese primary mathematics curriculum. A strong emphasis will be placed on using inquiry-based learning approaches to encourage problem-solving, critical thinking, and analytical skills in young learners.

Course participants will also examine the role of questioning techniques in deepening mathematical understanding and explore how hands-on learning, including the use of manipulatives to provide a multisensory approach, can enhance student engagement.  The module will provide practical strategies for differentiating instruction, incorporating technology effectively, and creating a classroom environment where all students can develop essential numeracy skills with confidence.

Assessment plays a crucial role in mathematics education, helping teachers monitor student progress, identify learning gaps, and adapt instruction to meet individual needs. This module will also explore both formative and summative assessment strategies, emphasising the importance of using assessment as a tool for guiding learning rather than merely measuring it (assessment FOR learning)

By the end of the module, course participants will be well-equipped to plan and deliver mathematics lessons that are engaging, inclusive, and effective, ensuring that every learner can develop a strong foundation in numeracy. Course participants will also learn how to design meaningful assessment tasks, provide effective feedback, and use assessment data to support student growth in mathematics.

By the end of this module, the learner will be able to:

Competences

  • a)Develop structured schemes of work and lesson plans aligned with the Maltese Primary Mathematics Syllabus, ensuring problem-solving is central to lessons;
  • b)Design and evaluate mathematical tasks that stimulate analytical reasoning, creativity, and higher-order thinking among students;
  • c)Formulate purposeful questioning strategies that foster inquiry, reflection, and higher order thinking in mathematics lessons;
  • d)Integrate and model the use of manipulatives to enhance conceptual understanding and support students build mental representations of mathematical ideas;
  • e)Design experiential, multisensory resources that engage all students in active learning;
  • f)Strategically integrate technology (such as the interactive whiteboard) and digital tools, to enhance conceptual understanding across diverse learning profiles;
  • g)Implement and manage adaptive differentiation strategies to respond effectively to varied learning needs including advanced/gifted learners, and learners with Mathematics Learning Difficulties;
  • h)Design and oversee formative and summative assessment procedures that evaluate students’ conceptual understanding, skills, and mathematical competences;
  • i)Embed and reinforce mathematical language, terms and symbols across all instructional activities to strengthen conceptual accuracy and communication across all instructional activities to strengthen conceptual accuracy and communication.

Knowledge

  • a)Interpret the attainment levels and corresponding learning outcomes (LOs) in the primary mathematics curriculum, to inform curriculum planning and assessment in line with national educational standards;
  • b)Systematically engage with key theories related to the teaching and learning of mathematics in primary education (including the contributions of Skemp, Bruner, Piaget, Vygotsky, and Dienes);
  • c)Analyse how these theories shape instructional strategies, curriculum design, and children’s mathematical understanding;
  • d)Rationalise and justify pedagogical approaches for teaching the main components of mathematics: Number and Algebra, Geometry, Data Handling, and Measurement;
  • e)Establish evidence-based approaches that emphasise mental work in mathematics to build fluency and strengthen learners’ foundational skills;
  • f)Evaluate various questions that can be used to prompt higher-order thinking and deepen students’ understanding;
  • g)Critically examine the theoretical principles of the CPA approach (Concrete, Pictorial, Abstract) in mathematics education, evaluating how progression through these stages support deep conceptual understanding and learner transition from concrete experiences to abstract reasoning;
  • h)Appraise strategies to challenge and extend gifted students in mathematics, fostering deep understanding and advanced problem-solving skills;
  • i)Analyse how to emphasise key mathematical language and symbols throughout lessons to promote accurate understanding and communication;
  • j)Evaluate formative and summative assessment strategies, to measure and support students’ mathematical skills, knowledge, and competencies;
  • k)Critically examine the affective domain in mathematics learning, analysing how emotions such as mathematics anxiety influence engagement and achievement, proposing responsive strategies to address these factors.

Skills

  • a)Develop and implement lesson plans and schemes of work aligned with the Maltese Primary Mathematics Syllabus, ensuring that each lesson is structured, goal-oriented, and curriculum-based;
  • b)Apply and interpret key theoretical perspectives in mathematics education to enhance teaching practice;
  • c)Design and adapt focused mathematical activities across Number and Algebra, Geometry, Data Handling, and Measurement, ensuring that students develop a well-rounded understanding of each area;
  • d)Design and evaluate differentiated learning tasks and strategies that promote higher-order reasoning, analytical thinking, and inclusive participation;
  • e)Create and refine multisensory instructional resources that translate abstract mathematical ideas into more tangible experiences using the CPA approach;
  • f)Employ a variety of AFL strategies that measure students’ understanding and progress, allowing for adjustments in instruction to meet their individual needs and learning levels;
  • g)Emphasise key mathematical language to support effective communication and student comprehension;
  • h)Generate actionable feedback that improves student learning outcomes by interpreting evidence from continuous assessment tools (including math trails, low floor/high ceiling tasks, maths journal, integrated maths tasks, quizzes).

Assessment Methods

This module will be assessed through: Group Presentation, Assignment and Reflection

Suggested Readings

Core Reading List

  1. Askew, M. (2016). Transforming primary mathematics: understanding classroom tasks, tools and talk. Routledge.
  2. Cotton, T. (2021). Understanding and teaching primary mathematics (4th ed.).
  3. Hattie, J., & Zierer, K. (2025). Visible learning: Lesson planning: An evidence-based guide for successful teaching. Taylor & Francis.
  4. Haylock, D., & Manning, R. (2019). Mathematics explained for primary teachers (6th ed.). Sage.
  5. Nunes, T., & Bryant, P. (2023). Children doing mathematics (3rd ed.). Wiley-Blackwell.

Supplementary Reading List

  1. Boaler, J. (2015). The elephant in the classroom: Helping children learn and love maths. Souvenir Press
  2. Dowker, A. (2019). Individual differences in arithmetic: Implications for psychology, neuroscience, and education (2nd ed.). Routledge.
  3. Nunes, T., & Bryant, P. (2015). The development of mathematical reasoning. In L. S. Liben, U. Müller, & R. M. Lerner (Eds.), Handbook of child psychology and developmental science: Cognitive processes (7th ed., pp. 715–762). John Wiley & Sons. https://doi.org/10.1002/9781118963418.childpsy217
  4. Thompson, I., (Ed.). (2010) Issues in teaching numeracy in primary schools (2nd). Open University Press
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