Geometry is a very old branch of Math with its origin in Greek learning with the introduction of plane geometry. Now it has expanded its territories to many avenues and finds its applications in various aspects of life. The concepts of geometry are used in construction, navigation, star gazing, art and patterns, measurements, machines and motion.
Doing geometry enhances human skills like creative imagination, visualization, spatial sense, analytical skills and logical thinking. Unlike other Math branches, it evokes much of right side brain activities and induces the aesthetic sense of student minds. Learning geometry helps students in many ways since it involves life skills and showcases scope for a huge spectrum of career opportunities.
The concepts of geometry are sprinkled over K-12 curriculum and they are revisited for extended analysis of the topics. While students learn shapes and solids and use their spatial reasoning to understand them at the basic level, they use their analytical skills for understanding two or three-dimensional shapes and geometric relationships using reasoning and coordinate system at high school.
Geometrical thinking is a kind of abstract visualization with a language and a world of its own. Informal proofs of geometric concepts at an early stage of learning set students in the right path of understanding advanced concepts at a later stage. Geometry includes topics in parabola, hyperbola, circle, triangle and measuring them. A typical geometry course involves lots of formal proofs which may pose difficulty in understanding for average students. Students who lack knowledge of the basic concepts of geometry find proving facts and theorems overwhelming at the high school level.
Students first learn to understand Geometric shapes through their appearance and go ahead to analyze them through their properties. They learn the patterns through drawings with the tools like: ruler, protractor and compass in their initial years of learning. They find correct and incorrect shapes through examples and understand geometric concepts at their fourth and fifth grades.
The abstract level is the third level of understanding geometry where students understand the relationship between different shapes through their abstract thinking which happens at high school. The difficulty level of abstract thinking as at the high school level can be mitigated by introducing manipulates, drawing figures instead of rote memorization of formulas and definitions for areas and perimeters and other measurements.
Practice makes a lot in preparing for Geometry topics. Even those who are well versed with the basics of Geometry need to sit with proofs and work through them for their big scores. At the high school level, informal geometry and geometric concepts instead of proofs could be introduced to students who need review classes for advanced topics.
When students struggle beyond a limit, it is advisable they seek the help of online high school Geometry tutors and get clarifications for their doubts in the topics. The personalized care and attention rendered by online tutors mitigate the learning struggles in geometry and help students take their course with ease.
