Tuesday 21 March 2017

Characteristics of Highly Able Math Students

Maths is not a subject that many can master. Most just learn to apply it and get through academics. However, there are some gifted children who take to maths like a fish takes to water. Their uncanny ability to solve much difficult challenges of maths which is beyond their level can be evident in a maths class and often during maths tuition London. It is the duty of the maths tutor to identify such students and nurture their innate potential to the full. Here we would throw light on its various aspects.
What is mathematical promise?
In order to identify mathematically able students, it is first important to define mathematical promise. Going by the definition of the National Council of Teachers of Mathematics Task Force, Mathematical Promise is a function of motivation, belief and experience or opportunity. None of these traits are a fixed quantity and each need to be developed to the hilt to maximize reaching the true potential of the student. The definition encompasses students who are traditionally identified as gifted, talented, precocious etc. It also adds that student who’s above average talent and skills are excluded from the gifted children bracket but are counted as mathematically promising students.
Traits to look for in a mathematically gifted child
Mathematically gifted children would obviously show some traits and characteristics that would not be visible in the other average students. We list below some characteristics that any alert maths tutor should be able to identify as indicators of the child’s potential. While some students can exhibit all the characteristics, but some will show them at different times depending on cognitive, socio-emotional and physical development. Most mathematically able students would independently demonstrate the ability to –
·       Demonstrate the mathematical thing along with a keen awareness of quantitative information in the world around them.
·          Ability to think logically and symbolically about all quantitative, spatial and abstract relationships.
·        Ability to easily perceive, visualize and generalize both numeric as well as non-numeric patterns and relationships.
·         They can reason any problem analytically, deductively and inductively.
·         They can utilize reverse reasoning processes and switch methods in a systematic yet flexible manner.
·      They can easily work, communicate and justify mathematical concepts in their own creative and intuitive ways, in writing as well as verbally.
·         They can apply their learning to novel situations.
·         They can come up with probing mathematical queries to even application of concepts.
·         They always take up the challenge and persist for solutions considered complex, messy or ill-defined.
·        They show an uncanny ability to organize information and data in numerous ways while disregarding irrelevant data.
·        They not only grasp mathematical concepts and strategies quickly but retain it as well and can easily relate them within and across content areas and real-life situations.
·         They can easily come up with multiple solutions to the problem.
·      They use mathematics with innate confidence and do not hesitate to take risks with mathematical concepts and strategies.
·         They can easily apply estimation and mental computation strategies.

Teaching mathematically gifted children
Teaching mathematically gifted children needs some proper planning and execution. This requires a mental preparation from the teacher’s side as well. Foremost, the teacher must let go of the concept of normal or sticking to the teacher’s curriculum. Even the gifted children must be given opportunities to grow from where they are at that point of time. They must not be given advanced work much earlier. Simultaneously, it is important to remember that even the gifted children might have weaknesses. It is extremely important to work on both their strengths and weaknesses.
Keeping that in mind, they should be given work and assignments that challenge their over-working brain and urges them to push their boundaries. With gifted children, like the challenged ones; it’s best to get the parents involved. Get them to support and work with the child in his enrichment projects. Often the parents are not aware of the child’s abilities or his changed curriculum. Getting them involved will go a long way in creating the right atmosphere for an all around development of the child. Thus, when you are giving out a differentiated assignment to the child, his parents would understand and not panic.