Geometry, the study of space and spatial
relationships, is an important and essential branch of the mathematics
curriculum at all grade levels. The ability to apply geometric concepts is a
life skill used in many occupations. The study of geometry provides the student
with a vehicle for enhancing logical reasoning and deductive thinking for
modeling abstract problems.
The study of Geometry develops logical reasoning
and deductive thinking, which helps us expand both mentally and mathematically.
Euclidean Geometry is a branch of mathematics where one must understand the
material, and apply the understood material to discover patterns and
Why is Euclidean Geometry Important to
The importance of Euclidean geometry is one of
historical and practical use for the study of mathematics in today's society.
Euclidean geometry is one of the oldest branches of mathematics, developed by
Euclid in 300BC, and serves as the basis of modern mathematics that governs our
Geometry is also used in the early stages of our
life, to help develop the mind in determining differences. We all had the game
as a child where we must place the different shapes (square, triangles,
circles, and so on) in the right slots. These games help us as toddlers to make
deductions that in return expand our mind, and are the first exposure to
mathematics we as individuals will encounter.
Geometry holds great importance in the
forever-expanding world of mathematics. It enables us to picture what is
happening in problems we may encounter in the study of mathematics. The study
of geometry helps us develop the ability to visualize shapes, volume, area, and
so on. Geometric proofs play an important role in the expansion and
understanding of many branches of mathematics, from Venn diagrams in set theory
to area under the graph in calculus.
These are reasons why geometry is important in
our lives as citizens of the modern world. It is important to understand
Euclidean geometry when studying a course because Euclidean geometry does not
follow any set pattern. In a course such as calculus, if one knows the pattern
or steps to doing a specific type question, then one can easily do these types
of questions. But for Euclidean geometry, one can only learn the axioms and
results proven from these axioms. The student must apply these axioms with no
set pattern or list of steps for solving such problems. Therefore, each problem
can have one, two, three, four or infinitely many solutions.
We seem to find aspects of Euclidean geometry
everywhere in life. These aspects appear in ones career, in things we take for
granted such as bridges, and even the homes we live in. Man used circles and
angles to create the sundial, an elementary form of timepiece. The introduction
of time made mankind more aware of seasons, age, the concept of motion, and so
on. It is important to understand Euclidean geometry even in our entertainment.
In such games as pool one uses angles and triangles indirectly to place the
balls into the pockets of the pool table. Euclidean geometry is important to
understand even for the artist, since most drawings include shapes such as
triangles, squares, rhombus, and so on. In modern art these geometric shapes
appear as the main concept of the art. So even for artists, an understanding of
the very basic concepts of Euclidean geometry is important.