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Showing 1 to 20 of 63 for “"Other Mathematics"”.
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On Emmy Noether and Her Algebraic Works
<p>In the early 1900s a rising star in the mathematics world was emerging. I will discuss her life as a female mathematician and the struggles she faced being a rebel in her time. I will also take an in depth look at some of her contributions to the mathematics and science community . Her work in …
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Examining the Alternate Ranking Method for Grouping: Using Mixed-Ability Grouping to Enhance Learning
… grouping in a Southern, suburban high school mathematics classroom. Two grouping techniques were implemented on review days in Algebra II classes in which composition based on ability varied strategically. The researcher examined the Alternate Ranking Method for Grouping compared to normal …
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A Study of the Effects of Everyday Mathematics on Student Achievement of Third-, Fourth-, and Fifth-Grade Students in a Large North Texas Urban School District
… district who were taught with two different mathematics curricula to determine whether or not they had different effects on student achievement. One of the mathematics curricula, Everyday Mathematics, was developed upon national mathematic standards, written by the National Council of …
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High Impact Strategies and the Effect It Has on Students’ Mathematics Attitudes
… to measure students’ attitudes and beliefs about mathematics. Martha Tapia developed the Attitudes Toward Mathematics Inventory (ATMI) instrument in 1996 and later Lim and Chapman further refined a short form in 2012. The purpose of the ATMI was to measure mathematics attitudes in four ways: (1) …
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Conditional inequalities : American pure and applied mathematics, 1940-1975
… of this transformation for the development of mathematics as an academic discipline and how it affected what it meant to be a mathematician. How did mathematicians understand the relation between abstractions and generalizations on the one hand and their manifestation in concrete problems on …
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Three windows on mathematics: the axiomatic method, Lenat's Program AM, and Lonergan's cognitional analysis
<p>Mathematics is seen differently by mathematicians, computer scientist, and philosophers. The perspectives and exigencies of each field determine the different views. Mathematicians are describing their own work. They generally accept axiomatic formalization as the best method to describe a …
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Exploring the Numerical Range of Block Toeplitz Operators
<p>We will explore the numerical range of the block Toeplitz operator with symbol function \(\phi(z)=A_0+zA_1\), where \(A_0, A_1 \in M_2(\mathbb{C})\). A full characterization of the numerical range of this operator proves to be quite difficult and so we will focus on characterizing the boundary …
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Mathematics, pedagogy and textbooks : a study of textbook use in Grade 7 mathematics classrooms
… Book, when it is incorporated into grade 7 mathematics teachers' classroom practices. In particular, the research described here focuses on the impact of the textbook on four grade 7 mathematics teachers' classroom practices. My study forms a sub-project of a larger research project which …
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Fermat's conjecture and the factorization of F[subscript 7]
<p>In 1640, Pierre de Fermat conjectured that numbers of the form F[subscript n] = 2²[superscript n]+1 are prime for. all n = 0, 1, . 2, 3, . . It is easy to establish the .validity of . this conjecture for n < 5. Fermat's idea was generally accepted as true until 1732 when Leonhard Euler …
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The Kauffman Bracket and Genus of Alternating Links
<p>Giving a knot, there are three rules to help us finding the Kauffman bracket polynomial. Choosing knot’s orientation, then applying the Seifert algorithm to find the Euler characteristic and genus of its surface. Finally finding the relationship of the Kauffman bracket polynomial and the genus …
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Theory and application of back-tracking techniques
<p>High-speed computers can be used to solve many problems that require a large number of tests that satisfy either a positive or a negative requirement. However, the size of the problem that can be handled is limited by the speed and by the accessibility of the computer. Back-tracking is a …
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A Dual Fano, and Dual Non-Fano Matroidal Network
<p>Matroidal networks are useful tools in furthering research in network coding. They have been used to show the limitations of linear coding solutions. In this paper we examine the basic information on network coding and matroid theory. We then go over the method of creating matroidal networks. …
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The Gelfand Theorem for Commutative Banach Algebras
<p>We give an overview of the basic properties of Banach Algebras. After that we specialize to the case of commutative Banach Algebras and study the Gelfand Map. We study the main characteristic of that map, and work on some applications.</p>
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Understanding teaching practice in support of non-English-speaking-background (NESB) students’ mathematics learning
… gives special attention to the experiences of mathematics teachers of Non-English-Speaking-Background (NESB) students. This need prompted me to investigate four of my tertiary mathematics classes that included a number of NESB students, through practitioner research. The main data collection …
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Exploring the Exceptional Extreme Rays of the Copositive Cone
<p>In this paper we will look at the exceptional extreme rays of COP^5 and COP^6 and identify if they are exposed or nonexposed. We start with some necessary background material on copositive matrices and cones. Then we construct two algorithms to see if a matrix is exposed or nonexposed.</p>
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Elements of Convergence Approach Theory
… of limits for the continuous convergence on the other. Characterizations are obtained for two alternative extensions of reg- ularity to convergence-approach spaces: regularity and strong regularity. Along the way, we give a brief overview of the theory of convergence spaces and of convergence …
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SIMNET, a primal Simplex code for networks
… basic feasible solution, or spanning tree, to another until optimality is reached. The basis tree provides a unique relationship between the basic variables and the constraints so that the reduced costs may be computed, the pivot procedure completed, and the basis priced out all by simple …
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Regular Round Matroids
<p>A matroid <em>M</em> is a finite set <em>E</em>, called the ground set of <em>M</em>, together with a notion of what it means for subsets of <em>E</em> to be independent. Some matroids, called regular matroids, have the property that all elements in their ground set can be represented by vectors …
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