The Impact of Using Frayer’s Model in Acquisition Mathematical Concepts for Primary Students in Qatar Abstract In Qatar, the Ministry of Education seeks to restructure the country’s Mathematics curricula with the aim of making it compatible with the modern look of the curriculum, develop the understanding, the skills as well as trends corresponding with members of the Qatari society. However, there is a difference between the curriculum developers and teachers on the best to restructure the Mathematics curricula. The curriculum developers are interested in mathematical structure while the teachers are interested in mathematical knowledge which includes the acquisition of skills and...

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STRUCTURE AND PROPERTIES OF FULLERENES Chapter 1: Introduction History of Fullerenes The discovery of fullerenes and its structural elucidation paved the way for defining fullerene graphs. The discovery of fullerenes is attributed to the contribution of the Nobel laureates Harold Kroto, Robert Curl, and Richard Smalley . These scientists discovered a novel allotrope of carbon in which the carbon atoms formed close shells. The first fullerene molecule (C60 structure consisting of 60 carbon atoms) represented a football or a dome-like structure . Moreover, this new allotrope mimicked an icosahedra structure called “Buckminsterfullerene.” Buckminsterfullerene was named after the renowned architect...

STRUCTURE AND PROPERTIES OF FULLERENES Abstract The fullerenes are allotropes of carbon. The structural formulae for the fullerenes differ from the other allotropes due to the unusual arrangement of the carbon atoms. The layers and the arrangement of the fullerene allotrope can be represented in the algebraic expressions. The algebra involved in the fullerene definitions gives the mathematical representation of the atom arrangement and the dimension of different molecular layers. The graph theory gives some theorems of the fullerene regarding the established hypothesis and facts. The fullerene graphs use algebraic concepts to support the expressions. The structural configurations of the fullerenes...

TOPOLOGY OF FULLERENES Introduction Fullerenes are defined as carbon molecules that form polyhedral cages. There exists a close connection between structural chemistry and the graph theory in pursuing the topology of fullerene. The proposal report seeks to expound on the importance and the objective of the study of the topology of fullerene. The report consists of a brief preview of the previous studies of the study topic. The scope that the study will be able to achieve with the time constraints is also stipulated in the proposal report. The most considered direct graphical description is a sequence of numbers, as a connection table, sometimes topological index (single derived number), a polynomial...

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