Sunday, May 31, 2015Geometry "Earth-measuring" is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry is one of the oldest mathematical sciences. Initially a body of practical knowledge concerning lengths, areas, and volumes, in the 3rd century BC geometry was put into an axiomatic form by Euclid, whose treatment—Euclidean geometry—set a standard for many centuries to follow. Archimedes developed ingenious techniques for calculating areas and volumes, in many ways anticipating modern integral calculus. The field of astronomy, especially mapping the positions of the stars and planets on the celestial sphere and describing the relationship between movements of celestial bodies, served as an important source of geometric problems during the next one and a half millennia. A mathematician who works in the field of geometry is called a geometer.
Geometry is very different from Algebra I and Algebra II. For example, Geometry often requires students to visualize abstract objects. Students that are not visual learners therefore have difficulties mastering some Geometry concepts. It is much easier for most students to visualize a line than to visualize a polyhedron.
Another reason why students often struggle in Geometry is because Algebra courses often do not focus as much on proofs and reasoning as much as Geometry courses do. In many schools, students are first introduced to the ideas of axioms and postulates in Geometry courses. Algebra courses are often primarily based on memorization and basic equation solving strategies rather than proof formulations. Students who are already struggling with other Geometry topics feel an additional burden of trying to deduct these proofs.
A math tutoring program can help you fill in all the gaps so that comprehension will fall naturally into place and put a student on the road to success. Look for a tutor who is extremely adept at explaining difficult concepts in simple, accessible language. The environment should be comfortable so that when students don't understand a concept the first time around, they can simply do the lesson over--without embarrassment--until all the steps are crystal clear. Algebraic concepts should be presented in an organized, logical manner. A good math educator or tutor often supplements learning with colorful graphics and diagrams, as well as examples of using algebra to solve real-life problems..
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