In a classroom situation generally homogeneous teaching goes for heterogeneous groups of students. Mathematically gifted students always require some differentiated instruction from those of other students because they demonstrate an uneven pattern of mathematical understanding and development. Though they are endowed with high computation skills, problem-solving strategies, inferential thinking skills, or deductive reasoning and are often able to discern answers with unusual speed and accuracy even smart enough in finding the inter-relationships among and between ideas, topics, and concepts without the intervention of formal instruction specifically geared to that particular content, yet several factors never allow them to nourish their creativity as teachers are overloaded, non friendly mathematics curriculum, sometimes lack of parental support. To address this issue a mathematical brain teaser typically designed to stimulate cognitive processes and involves lateral logical thinking of those gifted students in order to solve the teaser for amusement even. Actually in a specially designed equilateral triangle (Several equal number of intra parallel lines from each side of triangle with same distance between the parallels) produces many triangles, parallelograms, trapeziums, rhombus, and regular hexagons. Gifted students may count those Geometrical figures faster than the others and those answers can be justified by using formulas developed by me. Those formulas are developed with the help of simple concept of arithmetic progression. It would help to develop and improve cognitive functions via logical reasoning of those gifted students.
Gifted student, Arithmetic progression, Mathematical brain teaser
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