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. Anunita Das "Application of Arithmetic Progression in Equilateral Triangle as Mathematics Brain Teaser" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-6 , October 2020, URL: https://www.ijtsrd.com/papers/ijtsrd33347.pdf Paper Url: https://www.ijtsrd.com/mathemetics/applied-mathematics/33347/application-of-arithmetic-progression-in-equilateral-triangle-as-mathematics-brain-teaser/anunita-das
International Journal of Trend in Scientific Research and Development (IJTSRD)
Volume 4 Issue 6, September-October 2020 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470
@ IJTSRD | Unique Paper ID – IJTSRD33347 | Volume – 4 | Issue – 6 | September-October 2020
Page 579
Application of Arithmetic Progression in Equilateral
Triangle as Mathematics Brain Teaser
Anunita Das
Mechanical Engineering Student, NIT Durgapur, Durgapur, West Bengal, India
ABSTRACT
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 conce