Geo Gebra First International Conference of Geo Gebra

Geo. Gebra First International Conference of Geo. Gebra Linz - Austria

Geo. Gebra A Suggestion of Using Geo. Gebra at College Level: The Case of Finding Arc-Length of a Curve Dr. Tolga KABACA Dr. Mehmet BULUT

Geo. Gebra The Relationship between programming algorithm and mathematical thinking structure Our task will be producing a visualization like Lower. Sum and Upper. Sum commands’ of Geo. Gebra

Geo. Gebra A Quick Algorithm For Constructing How to Evaluate the Arclength of a Curve n Plot the graph of the function f(x), n Determine some points on the curve of f(x) for x = a from x = b if you want to evaluate the arc-length in the interval x [a, b] n Constitute the line segments, attaching every successive point on the curve. n Find the sum of the length of all line segments, which obtained at the previous step. n When we increase the number of points on the curve, we will approach to the real value of arc-length of the curve.

Geo. Gebra Math Language Geo. Gebra Language x = (b-a)/n delta=(b-a)/n The points on curve obtained by the difference x pointlist=Sequence[(a + i delta, f(a + i delta)), i, 0, n] Line segments attaching every successive points on the curve segmentlist=Sequence[Segment[Element[pointlist, i], Element[pointlist, i + 1]], i, 1, n] arclength=Sum[segmentlist, n]

Geo. Gebra Let’s see the Visualization Let’s look at the mathematical perspective in terms of Geo. Gebra Let’s consider on adding a module (or an easy platform) to Geo. Gebra for producing quick procedures to enrich Geo. Gebra Library!