Abstract
Heart symbols are used as expressions of love. There are several mathematical explanations that can produce a curve in the shape of a heart symbol, the most famous of which is cardioid. Graphs that look exotic like cardioid and limacon can be solved using polar coordinates. Polar equations r = a ± b cos θ and r = a ± b sin θ, with a and b positive are called limacon curves, for the special case a = b is called the cardiod. Computer technology is an alternative that can be used to help this. One of the computer programs that can be utilized as a medium of mathematics learning especially in drawing the heart curve is GeoGebra. GeoGebra is a dynamic mathematical software that combines geometry, algebra, and calculus. GeoGebra program serves as a learning medium that provides a visual experience to students in interacting with the concept of polar coordinates in solving the problem of the heart curve.
Highlights
In the discussion of the calculus of the heart curve is often called the cardiod
The characteristic position of a point in polar coordinates is expressed in the form, where r is the distance between the polar axes at a given point
The card equation r = 2 + 2 sinθ can be sketched in GeoGebra software using polar coordinates
Summary
In the discussion of the calculus of the heart curve is often called the cardiod. Drawing the heart curve can be done manually, but it can be done with the help of software. GeoGebra is a dynamic mathematical software that combines geometry, algebra, and calculus. This software was developed for the process of teaching mathematics at school by Markus Hohenwarter in 2001 at the University of Florida Atlantic. GeoGebra is very useful as a medium of learning mathematics with various activities, namely as a medium of demonstration and visualization, used as a tool for construction and as a tool of the process of discovery [4]
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