Study of Visualization in Calculus

Study of Visualization in Calculus

Author Name : Jennisha Sunil Agrawal

ABSTRACT

The concept of Data visualization through calculus comes in picture with graphical representation basically the vital information takes place into numeric delineations. Norma Presmeg explained in Visualization in High School Mathematics that “a visual image is a mental scheme depicting visual or spatial information” (Presmeg, Visualization in High School Mathematics, 1986).

Intuitive understanding of abstract mathematical concepts through visualizations is growing in popularity among students some might have problem translating graph into relation.

It can also help with representation of information. Rather than sharing the cumbersome information, sharing the visual data will draw in and pass on across the data which is more absorbable.  What can very well be unseen is within data representations.

The Role of Visual Representations in the Learning of Mathematics by Arcavi states that “the visual display of information enables us to 'see' the story, to envision some cause-effect relationships, and possibly to remember it vividly” (Arcavi, 2003)

Within the study, three categories were identified. The study came up with two definitions for visualizers and non-visualizers. Visualizers used both memorization of formulas as well as an imagination or visual imagery to go about a problem while a non-visualizer uses only the memorization of formulas and no visual imagery to solve a problem.

The graphs useful for delineation in differential calculus is in function of two or three variables as end up with the inclination of tangent lines as a limit of secant lines.