Programmes & Modules:

Comprehensive programmes to enhance educators’ skills and knowledge


Primary Mathematics


Concept-Based Courses

MAP101 Fundamentals of Singapore Mathematics Curriculum (6 hours)

This course aims to help participants re-think the role of school Mathematics to develop thinking and problem-solving ability. Learning theories such as those by J. Bruner, R. Skemp and Z. Dienes help participants understand how students can access mathematical concepts.

MAP102 Mathematical Problem Solving (6 hours)

This course helps participants distinguish and identify mathematical tasks which are considered mathematical problems. This course helps participants understand the roles of word problems and related instructional strategies including the Newman procedure to diagnose difficulties in word problems. Participants learn to use different problem- solving heuristics and Polya's stages in problem solving.

MAP103 Lesson Planning in Primary Mathematics (12 hours)

Participants learn how to use the curriculum document to plan a Scheme of Work. Participants will also learn key stages in lesson planning which includes materials study, identification of anchor tasks, consolidation tasks and assessment tasks. Participants learn to use students' anticipated responses to develop mathematical ideas. The use of textbooks in lesson planning will also be discussed.This is a practice-based course where participants are required to maintain a portfolio of lesson plans.

MAP104 Assessment in Primary Mathematics 1 (6 hours)

Participants learn different types of items in a written test. This course focuses on the construction of selected-response items such as multiple-choice items. The concepts of reliability and validity are discussed. Participants learn the use of tables of specifications to plan a test. Note: Informal assessment is included in the teaching of topics.

MAP105 Assessment in Primary Mathematics 2 (6 hours)

Participants learn different types of items in a written test. This course focuses on the construction of constructed-response items such as short-answer, structured and longanswer items. The concepts of reliability and validity are discussed. Participants learn the use of tables of specifications to plan a test. Note: Informal assessment is included in the teaching of topics.

MAP106 Classroom Management in Primary Mathematics (6 hours)

This course covers the principles and practice of effective classroom management to create a positive learning environment. This includes the management of physical space, learning materials, groups, individuals as well as academic and non-academic student responses. This is a practice-based course where, through case studies and classroom practice, participants reflect upon and put into practice classroom-management strategies.

MAP107 Practice Teaching in Primary Mathematics (24 hours)

This is a practice-based course where participants plan, teach, discuss and refine lessons collaboratively using the lesson-study approach. Participants are also required to reflect on lessons planned and taught during the practice teaching period.

MAP108 Teaching of Heuristics in Primary Mathematics (6 hours)

In this course, participants learn about different problem-solving heuristics. Some heuristics are more concrete such as act-it-out while others are more pictorial such as draw-a-picture or draw-a-model. Others are more abstract such as look-for-patterns. The teaching of a particular heuristic at different grade levels is discussed using examples.


Content-Based Courses

In each of these courses, participants will examine the curriculum structure of the topic to understand J. Bruner’s concept of spiral curriculum. Teaching strategies and resources including the use of technology are included. Common errors, remediation, enrichment, differentiated instruction and informal assessment are also discussed in relation to the specific topics.


MAP201 Teaching of Whole Numbers (12 hours)

Participants learn the different uses of whole numbers including ordinal and cardinal numbers. The concepts of number bonds, place value and regrouping are given emphasis. Participants learn to teach the four basic operations including mental strategies and combined operations. Formal ideas such as factors and multiples are also discussed.

MAP202 Teaching of Fractions (12 hours)

Participants learn fundamental ideas about fractions such as equal parts, fraction notation and equivalent fractions. The notions of fractions as part of a whole and part of a set as well as a number are included. Participants learn to teach the four basic operations including mental strategies and combined operations.

MAP203 Teaching of Decimals (3 hours)

Participants learn teaching strategies to convert between fractions and decimals. The concept of place value, regrouping and the four basic operations are revisited in the context of decimals.

MAP204 Teaching of Percent (3 hours)

Participants learn teaching strategies for percent and the relationship between percent and fraction. The concept of percentage of a quantity, and percentage change are also dealt with.

MAP205 Teaching of Ratio (3 hours)

Participants learn the relationship between ratio and fraction. The concept of equivalent ratio is included. Ratio of up to three quantities is considered.

MAP206 Teaching of Measurements (12 hours)

Participants learn about non-standard units and standard units as well as the use of common measuring instruments for length, mass, time, area and volume. Area is used as a case study.

MAP207 Teaching of Rate & Speed (6 hours)

Participants learn the concepts of rate and speed. Constant and non-constant rates are included. The idea of average speed and the use of coordinate graphs to describe rate are included.

MAP208 Teaching of Geometry (12 hours)

Participants learn about common shapes and polygons as well as selected properties of triangles and quadrilaterals. Concepts of points, lines and angles are included. Ideas such as angles on a line, angles at a point, opposite angles are discussed. Participants learn about symmetry, motion geometry and tessellation. Participants also learn about van Hiele's theory of geometric thought.


Specialist Courses

These courses can be offered as part of the Certificate in Mathematics Education for Mathematics Specialist (Primary) Programme.


MAP300 Designing Learning Materials for Primary Mathematics (12 hours)

Participants will learn to design learning and formative assessment materials for use in a school.This course is for a specific content area, such as fractions. A range of mathematical topics are available.This course will include content knowledge for the specific topic. See MAP310.This course is suitable for teachers who write learning materials.

MAP301 Learning Theories for Primary Mathematics (12 hours)

Participants will learn a specific learning theory and its applications in the teaching and learning of Mathematics. Participants will learn how to achieve some degree of precision in teaching of Mathematics. The course aims to help teachers become better problem solvers in everyday teaching situations.

Note:There is a range of learning theories available for this course.

MAP310 Mathematics for Elementary School Teachers (3 hours)

Each three-hour course comprises of a selected content area. This is essentially a Mathematics course. Participants will acquire a conceptual understanding of the topic. A range of mathematical topics are available. This course is suitable for teachers who want to gain a deeper understanding of Mathematics topics they teach.

MAP321 Curriculum Development for Primary Mathematics (12 hours)

This course is designed to help participants plan and design a Mathematics curriculum for a nation / state / district / school. It includes alignment with the vision of the system, research and international practices, and the writing of the standards. This course is suitable for education officers who need to develop curriculum for an education system / school.

MAP322 Curriculum Implementation and Evaluation for Primary Mathematics (12 hours)

This course is designed to help participants align curriculum materials including textbooks with national / state standards. The course also includes designing evaluation tools to monitor curriculum implementation and assessment plans to assess the impact of curriculum implementation on student achievement and attitude. This course is suitable for curriculum leaders responsible for curriculum implementation in a school / district.

MAP323 Developing an Assessment Programme for Primary Mathematics (12 hours)

This course is designed to help participants design an assessment plan for a school / district / state / country. It includes opportunities to design and evaluate quality of test items in different formats. This course is suitable for educators who are responsible for the examination and other assessment tools used in a school / an assessment agency.

MAP331 Leading Lesson Studying Primary Mathematics (12 hours)

This course introduces the use of lesson study as a professional development tool. Participants will learn the steps in introducing and sustaining the use of such authentic forms of professional learning. This course is suitable for instructional leaders who are responsible for the professional development of other teachers.


Parent Education Programmes

The following programmes are intended to help parents understand Singapore’s approach to Mathematics and better equip them to help their children.


PEM101 Helping Children with Challenging Mathematics Problems (3 hours)

In this seminar, parents will learn about the problem-solving curriculum. Challenging problems from different grade levels will be used as examples. Participants will learn strategies to help children who have difficulties solving challenging problems. This seminar is suitable for parents with children from Primary 1 to 6. There are customised versions of this seminar for specific grade levels as well as for upper primary and lower primary.

PEM104 Model Method in Primary Mathematics (3 hours)

In this seminar, parents will learn about common tools used to solve word problems involving whole numbers, fractions, percent and ratio.The topics include how the model method is introduced in lower primary and used extensively in upper primary. Parents will learn about the different skills required in using the model method and strategies to help children who have difficulties in solving word problems.This seminar is suitable for parents with children from Primary 1 to 6.There are customised versions of this seminar for specific grade level as well as for upper primary and lower primary.

PEM110 PSLE Mathematics (3 hours)

In this seminar, parents will learn about the components of the Primary School Leaving Examination (PSLE) Mathematics. Particular attention will be given to helping children with the more demanding aspects of the examination.This seminar is suitable for parents with children in Primary 5 or 6.

PEM121 Helping Children with Primary Mathematics (3 hours)

In this seminar, parents will learn about the Mathematics curriculum and how to help their children learn Mathematics in a way that is consistent with the way individual children learn. There are customised versions of this seminar for parents with children in Primary 1 – 2 , Primary 3 – 4 and Primary 5 – 6.

PEM129 Transition from Kindergarten Mathematics to Primary Mathematics (3 hours)

This workshop helps parents understand the core ideas and learning theories of early childhood numeracy. It covers varied, engaging hands-on activities to reinforce the core ideas. It also highlights the progression from Kindergarten to Primary Mathematics so that the young learners can make a better transition to learn Mathematics in Primary 1. Participants will better understand the expectations and demands of teaching and learning mathematics in lower primary levels, thus enabling them to prepare the young learners more adequately for the transition.