What is the purpose of math? This is an age old question asked by the majority of high school students. Math teachers throughout the years have been exhausting themselves with how to get their students interested in math. One way to get their pupils enthusiastic for math could be as simple as giving them a purpose of doing the math by teaching them the history of it. The Greek school system had this idea since the nineteenth century giving the American school system an idea that could possible…
DISCRETE MATHEMATICS Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic – do not vary smoothly in this way, but have distinct, separated values. Discrete mathematics therefore excludes topics in "continuous mathematics" such as calculus and analysis. Discrete objects…
It is true that mathematics subject is totally different from other general subjects .In all over the world subject mathematics perceived as a core in educational systems..it will be better to say that mathematics is a science and used in daily life . Mathematical achievements can be monitored by teachers learning process and by science and education department .The aim of mathematics subject to develop a constructive approach and student must have the ability to construct their own internal structure…
and Goethe; to philosophical breakthroughs of men like Rene Descartes who said, “I think therefore I am”, and finally to the unprecedented discoveries in the fields of mathematics and science. Among all the civilizations of time, those of the Pre-Columbian Era seem to have successfully applied mathematical concepts, mainly geometry and algebra, in a somewhat uncanny manner. One cannot all but question how engineers of today’s time, men and women with almost limitless resources, suffer periodic setbacks…
The extent of Plato’s knowledge of mathematics is made apparent through his use of the subject within his written works. In Ion, an early dialog of Plato 's, Socrates uses analogical argument to get his point across. The thing that makes these arguments suitable for this paper is that they heavily rely on mathematics for the source of the example (Roochnik, p. 548). In Elenchus and Mathematics: A Turning-Point in Plato 's Philosophical Development, Vlastos gives a translated version of a section…
development of western culture. In spite of the hundreds of years that have passed since the emergence of modern philosophy, today’s western culture continues to reference those modern philosophical ideas for guidance to today’s complex questions. The purpose of this paper is to examine the importance of modern philosophy to western culture. In order to accomplish this goal, this paper examines the contributions made by three modern philosophers: Descartes, Leibniz, and Kant. The author of this paper admits…
“the storehouse”) and applied in a tangible form of writing. This concept of language can be applied to mathematics. An axiomatic system (such as geometry) is composed of undefined terms, definitions, axioms/postulates, and theorems. Mathematical subjects, such as geometry can only be studied through the relationship that exists between these four components. Similar to language, geometry exists “by virtue of a sort of contract signed by the members of the community” (850). This expression from…
The Influence of Mathematics on Daily Social Activities MTH/110 March 2, 2015 The Influence of Mathematics Society is an important concept in which stands the intellectual development of mathematics and science. Today, in society, mathematics makes extraordinary demands and so to the world of mathematicians and scientists. The purpose of the report is to identify the influence and effects of mathematics in society. It includes some history of math and its major demands…
Abstract— The history of trigonometry extends from the beginning of the development of mathematics in Greece to the enlightenment in Europe. While it has evolved from the original chord function to a plethora of functions and identities throughout the ages, many of the identities were already known in antiquity and utilized to measure distance and location in the skies. This paper provides a short review of the development of the sine and a short review of the development of the remaining trigonometric…
considering the fact that a child between two to six years passes through the ‘sensitive period for the refinement of senses’ and they can be helped in the development of the senses while they are in this formative period. In order to serve this purpose Dr. Maria Montessori introduced a subject called ‘Sensorial’ where the materials are specially designed to enable the children to use their senses to explore different attributes of the world. “it is necessary to begin the education of senses in…