Getting Visual Online With Geometry - K-12 Education
While highlighting important skills needed to solve geometric problems you cannot avoid delving on visual cognition. Without the power to translate and interpret sense perception the world may look entirely different to us. The neural path takes us along the broken pieces or frames of the objects we observe to complete the appearance of an object. Let us say that we see a tree; we take this for granted but actually if our neural pathway does not function properly our brain would not be able to complete the observation for us to make out that it is a tree. Now using this data which is received by sense perception we reason out the dimensions of what we see to unravel traits that can be observed visually.
Although visual reasoning requires observation we have to use thought to infer from the data we receive through our senses. To calculate the hypotenuse of a right angled triangle you need to translate the properties of a right angled triangle that have visual properties into values that measure or represent them. If you have never seen a right angled triangle you can still identify it by knowing its properties. The brain fills the missing pieces by translating stand alone features and combining them to draw the complete picture. Words or Mathematical language is not separate in truth from pictures. They are just different forms of the same expression. Young learners and creative artists need to see at least in their minds to relate to the object they are dealing with.
If the ability to translate picture to words and words to picture is impaired then solving a problem becomes more of a challenge. In order to circumvent this problem Mathematical reasoning makes up for the difficulty by using logic to fill the missing pieces based on the properties you already know and have registered. When a tutor teaches Geometry, part of his/her teaching process is to use the train of logic as an inference that is based on schema and not necessarily on objects that exist in our world. The tutor has to take the responsibility of constructing informed schema that would be the basis of the structure of a learner's knowledge in the present and in the future. Although online tutoring uses visuals it helps learners develop the habit of inferring consistently and tentatively. Tentatively; because the mind has to be open to what is known as disruptive innovation which can happen with path-breaking discoveries. The learner therefore has to be enabled to make the best out of the animation and visuals that compliment geometric reasoning.
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