Students learn geometry at almost every grade level. Elementary students learn the basics of geometry: shapes and counting the number of sides. Middle school student begin learning how to find the volume and area of circles and squares. High school students jump into geometry with Euclidean/Plane Geometry and Symmetry & Tessellations. College students can take their knowledge from high school geometry to the next level and learn about Spherical Geometry, Hyperbolic Geometry, as well as Riemannian Geometry and Fourth Dimensional Geometry. No matter the grade level your student is in, we have expert tutors that will help students understand and conceptualize what they need to know in their geometry class.
What is it?
Euclidean/Plane Geometry is the study of flat space. Between every pair of points there is a unique line segment which is the shortest curve between those two points. These line segments can be extended to lines. Lines are infinitely long in both directions and for every pair of points on the line the segment of the line between them is the shortest curve that can be drawn between them. All of these ideas can be described by drawing on a flat piece of paper. From the laws of Euclidean Geometry, we get the famous Pythagorean Theorem.
Non-Euclidean Geometry is any geometry that is different from Euclidean geometry. It is a consistent system of definitions, assumptions, and proofs that describe such objects as points, lines and planes. The two most common non-Euclidean geometries are spherical geometry and hyperbolic geometry. The essential difference between Euclidean geometry and these two non-Euclidean geometries is the nature of parallel lines: In Euclidean geometry, given a point and a line, there is exactly one line through the point that is in the same plane as the given line and never intersects it. In spherical geometry there are no such lines. In hyperbolic geometry there are at least two distinct lines that pass through the point and are parallel to (in the same plane as and do not intersect) the given line.
Riemannian Geometry is the study of curved surfaces and higher dimensional spaces. For example, you might have a cylinder, or a sphere and your goal is to find the shortest curve between any pair of points on such a curved surface, also known as a minimal geodesic. Or you may look at the universe as a three dimensional space and attempt to find the distance between/around several planets.
Practice. Practice. Practice. For most students success in any math course comes from regular studying and practicing habits. However, we find that geometry is the one math class can be a foreign language for many students. No matter the level of the geometry class that the student is taking, we have expert tutors available and ready to help. All of our geometry tutors have a degree in mathematics, science, or a related field like engineering. Our goal is to provide a geometry tutor that can make understanding the concepts simple and straightforward and to help the student achieve success in the classroom.
Tucson, AZ is home to hundreds of our amazing tutors. From early education teachers to professors at the University of Arizona, Advanced Learners provides a tutor that will meet you and/or your student’s individual needs. Known for its booming high-tech industries, Tucson is a Mecca for new businesses. As the city continues to thrive and grow, our tutors will be available when you need them the most. From the Catalina Foothills to the Tortolita Mountains, our tutors will travel to all parts of Tucson to provide our premium tutoring services.
Our Tutoring Service
Every Advanced Learners tutor is a highly qualified, college-degreed, experienced, and fully approved educator. You can feel secure knowing that each tutor has been thoroughly pre-screened and approved. We have stringent requirements for all of our tutors. We require a national background check, a personal interview, and both personal and professional references of each applicant. We select only the very best tutors for our clients to choose from. Your personalized list of matched tutors will include professionals specifically suited to your child’s current academic needs. The backgrounds of our tutors are varied and their experience diverse, but the common factor is the passion for learning and education that they all share. As our client, you have the opportunity to review and speak with as many tutors as you wish until you find the right match for your student.