this paper is about concept maps and how they can assist in the learning ofconcepts of mathematics. first the paper presents the theoretical backgroundand working denitions for concept maps. then this study examines the impactof using concept maps in learning of fractions. results of this study indicatedthat using this strategy was eective in learning of fractions for fourth-gradestudents. th...

In this article, first we generalize the concept of complete parts in hyperrings by introducing the concept R-parts in hyperrings and then we study R-closures in hyperrings. Finally we characterize R-closures in hyperfields.

We introduce and study the concept of $alpha $-semi short modules.Using this concept we extend some of the basic results of $alpha $-short modules to $alpha $-semi short modules.We observe that if $M$ is an $alpha $-semi short module then the dual perfect dimension of $M$ is $alpha $ or $alpha +1$.%In particular, if a semiprime ring $R$ is $alpha $-semi short as an $R$-module, then its Noetheri...

We consider some families of one relator groups arising as fundamental 3-dimensional manifolds, and calculate their character varieties in SL(2, C). Then we give simple geometrical descriptions such varieties, determine the number irreducible components. Our paper relates to work Baker-Petersen, Qazaqzeh Morales-Marcén on variety certain classes groups, but use different methods based concept p...

The purpose of this study is to evaluate the feasibility of the integration of concept maps and tablet PCs in anti-phishing education for enhancing students’ learning motivation and achievement. The subjects were 155 students from grades 8 and 9. They were divided into an experimental group (77 students) and a control group (78 students). To begin with, the two groups received identical anti-ph...