What is Geometry?
Geometry is the study of shapes, sizes, angles, and the properties of space. More than just memorizing formulas for area and volume, it is a student's first formal introduction to mathematical logic and deductive reasoning through the construction of proofs.
- Understanding properties of parallel and perpendicular lines.
- Classifying triangles, quadrilaterals, and other polygons.
- Applying theorems, including the Pythagorean Theorem.
- Constructing logical, two-column proofs.
- Exploring concepts of congruence and similarity.
Why Students Can Find It Difficult
Geometry requires a different skillset than algebra. The biggest hurdle is the concept of a formal proof. Students must construct a step-by-step argument using established theorems and postulates, which can feel rigid and unfamiliar. Strong spatial reasoning and visualization skills are also necessary, and many students struggle to "see" the relationships between shapes and angles in complex diagrams. Remembering a large number of theorems and their precise definitions adds another layer of difficulty.
How We Help
We teach proof-writing as a form of logical storytelling, not just a set of rules to memorize. Our tutors use visual aids and interactive software to help students develop their spatial reasoning skills. By connecting geometric principles to real-world applications in art, architecture, and engineering, we make the subject more engaging and intuitive.