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.

MAP111 Bar Model Method for Primary Mathematics (6 hours) Participants learn to use the bar model method to solve word problems (arithmetic and algebraic problems) that include part-whole, comparison and change situations. Advanced techniques in the method are also included.

MAP112 Calculators in Primary Mathematics (3 hours) Participants learn the roles of calculators in problem solving, in situations with real-life data, for investigations and to develop confidence in struggling students. Participants learn to evaluate and design calculator-based tasks.

MAP113 Technology in Primary Mathematics (6 hours) Participants learn the roles of technology in learning, consolidation and problem solving. Various tool including open tools and the internet are included. Participants learn to evaluate and design ICT resources.

MAP114 Differentiated Instruction in Primary Mathematics (6 hours) Participants learn models for differentiated instruction. The course helps participants to plan for differentiation for advanced as well as struggling students.

MAP115 Remediation in Primary Mathematics (3 hours) In this course, participants learn to design assessment tasks for diagnosis as well as to design remediation tasks. The principles of remediation are discussed.

MAP116 Enrichment in Primary Mathematics (3 hours) In this course, participants learn to design enrichment tasks as well as to modify textbook tasks for enrichment. The principles of enrichment are discussed.

MAP117 Games in Primary Mathematics (3 hours) This course provides participants with examples of games in Mathematics learning including games for concept development, consolidation and problem solving.

MAP118 Activity-Based Lessons in Primary Mathematics (3 hours) Participants revisit J. Bruner's theory of representations to design activity-based lessons including those for concept development, consolidation and problem solving.

MAP119 Using Children's Literature in Primary Mathematics (3 hours) In this course, participants evaluate children's literature for use in teaching Mathematics. Participants get to design lessons around a selected book.

MAP120 Holistic Assessment for Lower Primary Mathematics (3 hours) In this course, participants will learn about the use of informal assessment tools and the interpretation of assessment data. Participants will also learn how to report and provide holistic assessment.

Note: There is also a version of this course for upper primary levels.

MAP121 Teaching Primary Mathematics Through Problem Solving (3 hours) In this course, participants will gain insight into the key elements of problem solving. Participants will encounter various models of teaching through problem solving and learn how to analyse anchor problems to identify learning goals. The use of textbooks in planning lessons around a problem will be discussed.

MAP122 Journal Writing in Primary Mathematics (3 hours) Participants will learn the use of a journal in everyday lessons as well as for assessment. Types of journal entries will be discussed. Participants will learn the roles of journal writing in the learning of Mathematics. Suggestions on how to start using journal writing in the classroom will be given.

MAP123 Assessment in Mathematics Problem Solving (6 hours) This course includes paper-and-pencil test items that assess problem solving as well as alternate assessment methods on problem solving. International practices will be described. Both holistic and analytical approach to scoring will be discussed. Participants are encouraged to bring drafts of assessment tasks they are working on.

MAP125 Use of Real-Life Situations in Primary Mathematics (3 hours) Participants will be engaged in different types of mathematical tasks that are designed around real-life situations. The use of real-life situations to introduce concepts, for consolidation of learning, as well as for problem solving will be shown. There will also be some discussion on mathematical modeling at the primary level.

MAP127 Mathematics Trails (3 hours) Participants will learn features of tasks used in Mathematics trails, and to be able to evaluate suitability of tasks for Mathematics trails. Examples of Mathematics trail tasks will be shown. Participants may also have opportunities to complete a trail, if the venue allows it.

MAP129 Development of Visualisation Skills in Primary Mathematics (3 hours) In this course, participants learn the importance of visualisation and different types of visualisation. Participants learn to help students develop the ability to visualise through the use of manipulatives, the use of visuals and questioning techniques.