Global
Go Beyond.Proven to be the world's best practice
Effective Teaching and Learning Practices of Top-Performing Nations
Global Go Beyond.
Why PR1ME Works
Proven to be the world's best practice
PR1ME Mathematics is a world-class program based on the effective teaching and learning practices of Singapore, Republic of Korea and Hong Kong - consistent top performers in international studies.
Trends in International Mathematics and Science Study (TIMSS) is an international study that evaluates the skills and knowledge of Grade 4 and Grade 8 students.
Programme for International Student Assessment (PISA) is an international study that evaluates the skills and knowledge of 15-year-old students.
How Do Global Top Performers Do It?
Global top-performing nations have much in common in their vision for mathematics teaching and learning, expectations of outcomes and pedagogical approach and practices.
Teaching is for learning; learning is for understanding; understanding is for reasoning and applying and, ultimately problem solving"
- Ministry of Education, Singapore
Curricular emphasis is on the understanding of fundamental mathematical concepts or principles, logical thinking, problem solving, communication, and mathematical dispositions."
- Korea National University of Education
Students should be able to understand thoroughly what they have learnt, master problem solving confidently and develop a positive learning attitude."
- Education Department, Hong Kong Special Administrative Region
Effective Teaching and Learning Practices
of Top-Performing Nations
Effective Teaching and Learning Practices of Top-Performing Nations
Problem Solving Is Central
Developing problem solving skills should address both the process and the method of solving problems.
Students learn to use different strategies and solve problems effectively and confidently.
Effective Teaching and Learning Practices of Top-Performing Nations
Concrete-Pictorial-Abstract Approach
The Concrete-Pictorial-Abstract Approach develops deep conceptual understanding
Students learn to make connections between physical materials, visual representations and mathematical symbols.
Effective Teaching and Learning Practices of Top-Performing Nations
Development of Metacognition and Mathematical Thinking
Thinking mathematically is a conscious habit.
Students learn to monitor, direct and communicate their thought processes and mathematical thinking.
Effective Teaching and Learning Practices of Top-Performing Nations
Learning to Mastery
Learning to mastery involves concept development and understanding mathematical relationships
Students learn to inquire, communicate, reason, conceptualize, formulate and solve problems.
Effective Teaching and Learning Practices of Top-Performing Nations
Consistent Formative Assessment
Assessment is a routine part of the on-going classroom activity.
Students' understanding of a concept just taught should be assessed immediately to identify remediation needs.
The Mathematics Framework
The central focus of the framework is mathematical problem solving. The five inter-related components of the framework are integral parts of mathematics learning and problem solving.
Metacognition
Metacognition, or "thinking about thinking", refers to the awareness of, and the ability to control one's thinking processes, in particular the selection and use of problem-solving strategies.
Processes
Mathematical concepts cover numerical, algebraic, geometrical, statistical, probabilistic, and analytical concepts. Students should develop the mathematics ideas in depth and as an integrated whole.
Concepts
Mathematical concepts cover numerical, algebraic, geometrical, statistical, probabilistic, and analytical concepts. Students should develop the mathematics ideas in depth and as an integrated whole.
Attitudes
Attiudes refer to the affective aspects of mathematics learning such as:
Appreciation of mathematics and its usefulness
Interest in learning mathematics
Confidence in using mathematics
Perseverance in solving a problem
Skills
Mathematical skills include procedural skills for numerical calculation, algebraic manipulation, spatial visualisation, data analysis, measurement, use of mathematical tools, and estimation.
