Another Locus Property of the Thomson Cubic

Vol.2 No.3

Year : 2013

Issue : Jul-Sep

Title : Another Locus Property of the Thomson Cubic

Author Name : Mikhail Goldenberg, Mark Kaplan

Synopsis :

Generalizing the concept of the symmedian point of a triangle we introduce the point called quasi-symmedian point and prove that the locus of quasi-symmedian points is the Thomson cubic.

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Some Characterization of Curves of Constant Breadth According to Bishop Frame in E3 Space

Vol.2 No.3

Year : 2013

Issue : Jul-Sep

Title : Some Characterization of Curves of Constant Breadth According to Bishop Frame in E3 Space

Author Name : Hülya Gün Bozok, Handan Öztekin

Synopsis :

In this paper, some characterizations of curves of constant breadth according to Bishop frame in E are presented.

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Collections Of Statements Related To Point-Set Domination Numbers In Graphs

Vol.2 No.3

Year : 2013

Issue : Jul-Sep

Title : Collections Of Statements Related To Point-Set Domination Numbers In Graphs

Author Name : D. R. Robert Joan

Synopsis :

Let G be a connected graph. A set D V(G) is a point-set dominating set (psd-set) of G if for every set S V – D, there exists a vertex v D such that the subgraph induced by S {v} is connected. The point-set domination number γ (G) p of G is the minimum cardinality of a psd-set. This paper provides a comprehensive treatment of point set domination in graphs. First introduce the point-set domination number of a graph G, and determine this number for various known graphs. The relationship between set domination number with r point set domination number, point-set domination number and also few results regarding point-set are given as statements. Also In this paper the investigator say about global set-domination number γ and global point-set domination number γ of a graph G and determine these sg pg numbers for various known graphs and obtain some bounds for the graph G of diameters 3 and 4 in terms of γ. Finally the concept of the strong point-set domination number of a graph G is introduced, and its exact value is determined for some known graphs.

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Pairing Figure Skating and Mathematics

Vol.2 No.3

Year : 2013

Issue : Jul-Sep

Title : Pairing Figure Skating and Mathematics

Author Name : Diana Cheng, Tetyana Berezovski

Synopsis :

In light of the Winter Olympic Games, a modeling problem is presented in the context of pair’s figure skating. Prospective and in-service high school teachers used related rates to solve the problem that involved differentiating the Pythagorean theorem and a trigonometric equation. Student work is analyzed and discussed.

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Applied Mathematical Statistical Modeling to Determine the Validity and Reliability of Independent Instructional Measures

Vol.2 No.3

Year : 2013

Issue : Jul-Sep

Title : Applied Mathematical Statistical Modeling to Determine the Validity and Reliability of Independent Instructional Measures

Author Name : James E. Osler II, Mahmud A. Mansaray

Synopsis :

Most universities and colleges in United States and elsewhere use student ratings of instruction for summative (e.g. faculty promotion, etc.) and formative (e.g. instructional improvement, etc.) evaluation purposes. This research examines the reliability and validity of the rating instrument used to evaluate teaching effectiveness and student learning outcomes. The sample consisted of 7,919 students of Historic Black College and University [HBCU] who completed the 2012 spring semester. Student Ratings of Instruction [SRI] survey (a measurement instrument used by students to assess instruction in courses in which they are currently enrolled) was used. The application of the Cronbach's Alpha Reliability Model, in the study helps to find strong internal reliability [consistency] of the rating instrument used to comprehensively assess teaching quality. At the same time, the application of Principal Component Factor Analysis with Varimax Rotation also finds strong construct validity of the assessment tool used to evaluate faculty.

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