the View of Semiotic Registers

Solution set of any inequality or compound inequality, which has one-variable, lies in the real line which is one dimensional. So a difficulty appears when computer assisted graphical representation is intended to use for teaching these topics. Sketching a one-dimensional graph by using computer software is not a straightforward work. In this paper, an innovative approach is suggested by using GeoGebra, the free dynamic mathematics software. This approach was theoretically based on Sackur's suggestion, which is created by semiotic register theorem of Duval. The dynamic application, described in this paper, also provides an opportunity to observe more complex, even impossible to solve analytically, inequalities' solution sets visually. At the end of the paper, it is also explained that how this approach also has the potential of allowing the students to make detailed reasoning towards finding solutions of inequalities and compound inequalities

the ordered relation according to diagonal properties

This article's aim is to suggest a supplementary learning environment to understand the hierarchical classification of quadrilaterals for high school or higher degree learners. Three diagonal properties, being congruent', being perpendicular' and dividing each other in particular ratio,' and all possible combinations of these properties, were used to construct the quadrilaterals in a dynamic geometry environment. According to the diagonal properties, 15 quadrilaterals could be constructed and an order relation was constituted on 16 quadrilaterals including the quadrilateral that did not have any diagonal property. The definition of order relation is any quadrilateral Q(i) is included by another quadrilateral Q(j), if and only if Q(i) has all diagonal properties of Q(j).' According to this relation, an ordered relation diagram was created, and it was found that this relation was not well ordered. After the dynamic geometry construction of each quadrilateral, observations about the diagonal properties of special quadrilaterals were noted. Furthermore, the conditions under which a quadrilateral can be concave are examined. This alternative approach to the construction of quadrilaterals provided an opportunity to define quadrilaterals with more economical and less confusing way than using angle and side properties. For example, a Kite is a quadrilateral whose diagonals are perpendicular and at least one of the diagonals bisects the other' and a Trapezoid is a quadrilateral whose diagonals divide each other in same ratio.

THE EFFECT OF DYNAMIC MATHEMATICS SOFTWARE TO THE STUDENTS' BELIEFS

OUT MATHEMATIC

Exploring the mathematical model of the thumbaround motion by geogebra

The article explores the mathematical model of the thumbaround motion by GeoGebra. GeoGebra is a dynamic mathematics software whose fundamental idea is producing multiple representations. GeoGebra can provide both algebraic and geometric representations synchronously through its algebra and geometry windows. In modeling the situation, we represent the cross-section of the thumb as a circle and the pencil as a line segment. The length of the pencil, the radius of the thumb, and the point on the pencil where it initially meets the thumb, are each changeable via sliders in the GeoGebra construction. An animation simulates the thumbaround action, in which the pencil rotates around the thumb. During the animation, the tip point of the segment that represents the pencil traces a curve

An innovative exhaustion approach for estimating the circumference of a circle and a visualization by Geogebra

The method of exhaustion is a technique that Archimedes used to find the area and circumference of the circle or any shape which is bounded by non-linear borders. More generally, the exhaustion technique can be assumed as an earlier form of integral calculus. In this paper first, we will give a modern calculation of Archimedes' own approach to find the circumference of a circle. Additionally, we will propose a new approach and related calculation of the circumference of the circle. We will visualize new approach to calculation of the circumference of a circle by using GeoGebra which is dynamic mathematics software. © IDOSI Publications, 2011

NEW CHALLENGES IN DEVELOPING DYNAMIC MATHEMATICS SOFTWARE

Body crematedhttps://stars.library.ucf.edu/cfm-ch-register-vol11/1152/thumbnail.jp

Teaching place value conceptually – part I

No abstract available