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The Shape of Things--The Skills Required to be a Great Geometry Tutor

A geometry tutor has a particularly as well as the volume of certain solids
difficult job. While algebra is often (spheres, cones, cubes, etc.).
said to be the first truly abstract Whereas a calculus student could
mathematical discipline that most calculate these values on the fly by
students encounter, geometry (which is applying the principles of integration,
usually taught the year after algebra is the average geometry student has not yet
taught) requires that the student begin been exposed to calculus and must commit
learning to apply the relatively abstract to memory the formulae for all of the
concepts learned in algebra to real life shapes and solids.
problems involving shapes and volumes. A good idea for the geometry tutor is to
Geometry is a very applied mathematical use flash cards and mnemonics to help the
science and, as such, any college or students retain the many formulae that
university program in the natural they must memorize. Another helpful tip
sciences or engineering will require for the geometry tutor is to make sure
students to be well versed in geometry as that they are familiar with the many
well as its more advanced cousin, geometrical proofs that the student will
trigonometry. have to learn. Geometrical proofs are a
The effective geometry tutor must be able fundamental component of geography, and
to help the math student bridge the chasm the geography teacher should make sure
between the abstract and the concrete. that his or her student has a firm grasp
Geometry in many ways is a precursor of of this important part of the study of
trigonometry and calculus in that it geometry.
requires students to think both in the Geometry is a notoriously difficult
abstract as well as the concrete. The subject for some students to learn since
effective geometry tutor must also deal it combines the concrete and the
with the fact that students who are abstract. It is also very difficult
studying geometry must use formulae that because there is more memorization
they are not yet able to derive (most of involved in geometry than in perhaps any
the formulae used in geometry can only be other mathematical subject. A good
derived using calculus). geometry tutor will help the student
This means that geometry requires much overcome both of these difficulties by
more memorization than any other focusing on both the concepts as well as
mathematical discipline, with the the formulae of geometry.
possible exception of trigonometry. A As far as the calculating goes, geometry
fundamental part of learning geometry is is no more difficult than algebra. The
committing to memory the formulae for hard part for the geometry tutor is
calculating the area of (shapes, square, teaching the student how to learn exactly
rectangles, triangles, rhombuses, etc.) what should be calculated.




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