Virtual and dynamic objects

Virtual manipulatives and applets are interactive, visual representations of dynamic objects that present opportunities for constructing mathematical knowledge, and help the students to have solid understanding of mathematical concepts. They can usually be manipulated with widgets in a GUI (Graphical User Interface), such as a slider, a checkbox or a button, and help to develop students’ visualization skills by connecting words, pictures and symbols simultaneously. With these tools, it is possible to simplify the tasks which are difficult or impossible to do on the whiteboard. Virtual and dynamic objects can also be used to present pictorial proofs, puzzles, animations, simulations, and to generate unlimited questions.


You can find some examples below:






Factor trees






Sum of exterior angels of a polygon





Simplifying square roots





Circle





Perpendicular bisector of a line segment





System of two linear equations





Multiplication of fractions





Comparing values of fractions





Cube





First 5000 prime numbers





Finding your birthday in Pi number





Collatz Conjecture





Chaos Game





Minimum Spanning Tree





K-Means Clustering





Stem and leaf plot





Galton Board