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Geometry is the mathematics of shape and space. It is about the properties of objects, their angles and surfaces, and the consequences of how these objects position, where their shadows fall, and how people must move around them. Whenever anyone even thinks about geometry, it is usually to remember a course taken in the second year of high school. This is one loaded with proofs about isosceles triangles and vertical angles.
The majority of the population remembers the geometry course with the sound not of fondness, yet still with an interest in mathematics. At the roots, geometry is not abstract. It is a fun and colorful, instructive, and practical form of daily mathematics. Geometry is about reality. Whether the concept fits, how to find the reality, and what objects look like reflecting in a mirror. Geometry is by nature concrete. Simply, geometry is important to real life. The labs divide activities into two broad categories.
Activities regarding shape center on identifying properties of various shapes and measuring their dimensions. Activities about space focus on moving objects around in the imagination and visualizing how the end result will appear. The introduction to geometry is through shapes and the properties. Geometry and spatial sense are infinite. Developing a deep understanding takes years and encompasses many subfields. The mathematics here spans a range as well, but by no means covers geometry in the lower grades. Symmetry, coordinates, and proportion are the core ideas of the activities which approach shape and properties of shape from different directions. Soon we learned about measurement and started to work with area, perimeter, and volume.
Visualization is an important part of geometry analyzing. It is the skill you use when you pretend to be somewhere else and imagine how that place looks, or when you fancy how a situation would look if things were just a little bit different. However, visualization is especially challenging in three dimensions, perhaps because math curricula do not emphasize three-dimensional geometry. Some have a difficult time rotating an object in their minds to see how it would appear from a different angle.
Mathematics instructional programs should include attention to geometry and spatial sense so that all students will analyze characteristics and properties of two and three-dimensional geometric objects.