Dynamic Models for Multiplication and Division Offered by GeoGebra

Abstract

One of the most important features of GeoGebra is the coordination of the geometric and algebraic representations, easily observed in GeoGebra window. Using GeoGebra software the teacher can geometrically and fruitfully teach the concepts and algorithms of arithmetic operations in the elementary school. Our paper focuses on two important operations: multiplication and division in the set of natural numbers. Using GeoGebra features we visually demonstrate the concepts of these two operations and help the students to develop the process of mastering multiplication and division facts. Our paper aims to achieve three objectives: Firstly, teach multiplication and division using an area model with base and height of 10 squares. The table designed for this special purpose can be considered as a platform where the arrangements of objects, pictures or numbers in columns and rows is done. Secondly, teach division by using the concept of sharing or partitioning. We have designed a particular dynamic model allowing the teacher to convey the meaning of division so that the students can have a better understanding of the division process. Thirdly, by creating dynamic models for teachers and students we want to: 1. Increase teacher pedagogical content knowledge and improve the instructional practice; 2. Promote student learning by improving teaching practices and providing capacity-building solutions; 3. Encourage the teachers engage themselves in research activity and innovative educational practices and teaching strategies