Effective Teaching and Learning Practices of Top-Performing Nations
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.
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"
Curricular emphasis is on the understanding of fundamental mathematical concepts or principles, logical thinking, problem solving, communication, and mathematical dispositions."
Students should be able to understand thoroughly what they have learnt, master problem solving confidently and develop a positive learning attitude."
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, 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.
Mathematical processes refer to the skills involved to acquire and apply mathematical knowledge. This includes reasoning, communication, thinking skills and heuristics, and application and modelling.
Mathematical concepts cover numerical, algebraic, geometrical, statistical, probabilistic, and analytical concepts. Students should develop the mathematics ideas in depth and as an integrated whole.
Attiudes refer to the affective aspects of mathematics learning such as:
Mathematical skills include procedural skills for numerical calculation, algebraic manipulation, spatial visualisation, data analysis, measurement, use of mathematical tools, and estimation.