Alpha Maths  Proven to be World's Best Practices

Why ALPHA Works
Proven to be the world's best practice
Scholastic ALPHA Mathematics is a worldclass programme based on the innovative and effective teaching and learning practices of nations that are global topperformers in mathematics. Incorporating a proven approach being used in more than 50 countries, the programme is customised to the requirements of the Indian curriculum and classrooms.
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 15yearold students.

How Do Global Top Performers Do It?
Global topperforming 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." 
 Ministry of Education, Singapore   Korea National University of Education   Education Department, Hong Kong Special Administrative Region. 

Effective Teaching and Learning Practices
of TopPerforming Nations

Effective Teaching and Learning Practices of TopPerforming 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 TopPerforming Nations
ConcretePictorialAbstract Approach
 The ConcretePictorialAbstract Approach develops deep conceptual understanding.
 Students learn to make connections between physical materials, visual representations and mathematical symbols.

Effective Teaching and Learning Practices of Topperforming 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.
The main goal of mathematics education in schools is the mathematisation of the child's thinking. Clarity of thought and pursuing assumptions to logical conclusions is central to the mathematical enterprise. There are many ways of thinking, and the kind of thinking one learns in mathematics is an ability to handle abstractions, and an approach to problem solving." 
 Position Paper, National Focus Group on Teaching of Mathematics, NCERT 

Effective Teaching and Learning Practices of Topperforming Nations
Learning to Mastery
 Learning to mastery involves concept development and understanding mathematical relationships.
 Students learn to inquire, communicate, reason, conceptualise, formulate and solve problems.

Effective Teaching and Learning Practices of TopPerforming Nations
Consistent Formative Assessment
 Assessment is a routine part of the ongoing 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 interrelated 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 problemsolving strategies.
Processes
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.
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.