...Born during 570 BC on an island shaped as a peninsula called Samos, Pythagoras, the most well-known philosopher/ mathematician now in days, grew up with a wealthy family which provided him with an education. While growing, Pythagoras had many tutors and sophists that lead him to the path in which he took of math. At the age of 18, Pythagoras meets and got influenced extraordinary by a master of math and astronomy called Thales. Since back then, all the variety of science and math that we now have, were very limited due to the lack of scientific discovery. The main section of study before was philosophy, and years after, a cluster of subject’s appeared with the root word “logos” meaning the study of something that requires logic. Furthermore,...
Words: 698 - Pages: 3
...Term Paper On Role of the Pythagoras in the field of mathematics Business Mathematics code Submitted By Team Harmony 1. Faisal Enayet (B1506003) 2. HafijulHasan (B1506007) 3. Plato Khisa (B1506035) 4. FarhanajAnchal (B1506075) 5. K.HusFariha (B1506120) 6. SumaiyaMeher(B1506155) Submitted To Lecturer AKTER KAMAL Business Mathematics Bangladesh University of Professionals Submission on Date: 02/05/2016 BBA 2015; SEC- C LETTER OF TRANSMITTAL 02 may 2016 Akter Kamal Lecturer Faculty of Business Studies Bangladesh University of Professionals Subject: Submission of term paper on “The role of Pythagoras in the field of mathematics” Respected Sir, We the students of BBA, section C, we are very glad to submit you the term paper on the topic of “The role of Pythagoras in the field of mathematics” that you asked us to submit, which is a part of our course requirement. For the purpose of completing the term paper we did a simple research on the provided topic. We have completed our research and assessment on our term paper topic according to your specification and regulation. We have tried our best to gather information according to the requirements and our ability. There may be a few mistakes, because we are still beginner in this line of work but we hope that in future this term paper will remind us not to make the same mistakes again and so this will become a great learning in experience. At last, we would like to thank to you...
Words: 7947 - Pages: 32
...sure to answer each question in complete sentence. Be sure to proofread your answer for correctness in grammar, spelling, punctuation mark, etc. Your answer must be word-processed, double-spaced (repeat, double-spaced), with 10-12 font size. Be sure to write your NAME and ID number in your paper. 1. Differentiate between: a. Ethics and Aesthetics Ethics constitutes the difference between right and wrong.Ethics are usually more broad and informal than laws, they are usually taught in ones childhood. Aesthetics is a branch of philosophy that emphasizes on the beautiful and the ugly. It can be defined as the study of the mind and emotions in relation to the sense of beauty. b. the rationalist and the empiricist (at least 3 differences) A rationalist may study the principles of philosophy, theology, and architecture. An empiricist relies on observation, experiment, and conclusions. c. metaphysics from epistemology Metaphysics is the branch of philosophy that treats principles. It also includes ontology and cosmology, and is connected with epistemology. Epistemology is the search for knowledge, validity, and methods. d. Axiology and ethics Axiology is the study of value. It is to research the nature, criteria, and metaphysical status of value. Ethics differs from the study of value given that it relies on what is right and wrong. Each individuals ethics will differ. Whereas Axiology is the current status of a particular value. e. Axiology and Aesthetics Axiology and Aesthetics...
Words: 608 - Pages: 3
...philosopher Hegel simply declared ‘Africa is no historical part of the world.’ This openly racist view, that Africa had no history, was repeated by Hugh Trevor-Roper, Regius Professor of History at Oxford University, as late as 1963. Africa, the birthplace of humanity We now knowWe now know that far from having no history, it is likely that human history actually began in Africa. The oldest evidence of human existence and that of our immediate ancestors has been found in Africa. In July 2002 further evidence of the existence of early hominids in Africa was found with the discovery of the fossilised remains of what has been called Sahelanthropus tchadensis, thought to be between 6-7 million years old, in Chad. The latest scientific research points to the fact that all human beings are likely to have African ancestors. Trade, Cultures and Civilisations in Africa Africa’s great civilisations made an immense contribution to the world, which are still marvelled at by people today. Ancient Egypt, which first developed over 5000 years ago. is one of the most notable of these civilisations and one of the...
Words: 1647 - Pages: 7
...Random numbers in C++ and The Pythagorean Theorem Name Course Date Random numbers in C++ and The Pythagorean Theorem Introduction Computer programs in light of the technological advances that have been made, arguably make up for the most important concepts in such developments. A set of instructions designed to assist a computer to prefer a given task is referred to as a computer program. There are numerous languages used to create/design computer for instance Java Script, Java, C++, SQL and Sage (Laine, 2013). Computer programming is defined as a process of developing a working set of computer instructions meant to aid the computer in the performance of a given task. Computer programming starts with the formulation of a valid computer problem. This process is then followed by the development of an executable computer program, for instance Firefox Web Brower (Laine 2013). It is worth noting that there are other programs in the same realm. Computer programming is a diverse field that is of utmost importance in the modern world, especially with the continuous expansion of the internet. Perhaps the relevance of this can be underlined by the fact that computer programming has carved out as a course on itself. Computer programming is offered under several courses studied in colleges and universities (Laine, 2013). Computer programming is not only for computer students but for all who use computers on a day to day basis. This is by extension everyone since the...
Words: 9330 - Pages: 38
...economy. It is important for me to understand this because I am minoring in Philosophy. Greece is important to Philosophy because many great thinkers such as Pythagoras and Socrates were “Greek” thinkers. So more or less, I chose Greece for a personal educational gain rather than just some random society to write a research paper on. World historians and readers alike should be interested in this research because from Greece came the father of Western Philosophy, which is the backbone of what is taught in Western academia and really had a huge impact to the world, as we know it. With Philosophy comes questions, with questions come many great answers that impact societies and even the earth. I want to study how Greece’s political economy impacted philosophic thinkers and people alike. In order to help readers understand whether or not outside forces like society’s political economy impacts deeper thinking like philosophy I will dive deep into Athenian Democracy, documents certain philosophers wrote in the day and time in which they lived, and even look into some other people of the time who had strong opinions on what exactly was going on them. Philosophy impacted more than most people think and I am sure in my research I will be able to back that up with primary sources to prove my argument. In writing this research paper I will be exploring the political economy of Classical Greece between 510 – 323 BCE. In addition, the geographic region I will be diving into will be Athens...
Words: 954 - Pages: 4
...Research on Butterfly Theorem Butterfly Theorem is one of the most appealing problems in the classic Euclidean plane geometry. The name of Butterfly Theorem is named very straightforward that the figure of Theorem just likes a butterfly. Over the last two hundreds, there are lots of research achievements about Butterfly Theorem that arouses many different mathematicians’ interests. Until now, there are more than sixty proofs of the Butterfly Theorem, including the synthetical proof, area proof, trigonometric proof, analytic proof and so on. And based on the extension and evolution of the Butterfly Theorem, people can get various interesting and beautiful results. The definition of the Butterfly Theorem is here below: “Let M be the midpoint of a chord PQ of a circle, through which two other chords AB and CD are drawn; AD cuts PQ at X and BC cuts PQ at Y. Prove that M is also the midpoint of XY.” (Bogomolny) This is the most accurate definition currently. However, Butterfly Theorem has experienced some changes and developments. The first statement of the Butterfly Theorem appeared in the early 17th century. In 1803, a Scottish mathematician, William Wallace, posed the problem of the Butterfly Theorem in the magazine The Gentlemen’s Mathematical Companion. Here is the original problem below: “If from any two points B, E, in the circumference of a circle given in magnitude and position two right lines BCA, EDA, be drawn cutting the circle in C and D, and meeting in A; and...
Words: 2926 - Pages: 12
...After graduation he went on to his own research before attaining a masters later in his life. Possibly the most important theory Newton ever came up with was gravity. It is commonly believed that Isaac Newton begin to think about gravity and its properties after an apple fell on his head, or simply by observing falling apples. Wether this is true or not, we may never know. The point is that Isaac Newton was a brilliant minded physicist before he even began to thing about calculus....
Words: 909 - Pages: 4
...around 500 B.C. when Pythagoras experimented with acoustics and how math related to tones formed from plucking strings. The main form of music during the middle Ages was the Gregorian chant, named for Pope Gregory I. This music was used in the Catholic Churches to enhance the services. It consisted of a sacred Latin text sung by monks without instrumentation. The chant is sung in a monophonic texture, which means there is only one line of music. It has a free-flowing rhythm with little or no set beat. The chants were originally all passed through oral tradition, but the chants became so numerous that the monks began to notate them. Towards the end of the Middle Ages, about the 12th and 13th centuries, music began to move outside of the church. French nobles called troubadours and trouveres were among the first to have written secular songs. Music of this time was contained among the nobility, with court minstrels performing for them. There were also wandering minstrels who would perform music and acrobatics in castles, taverns, and town squares. These people were among the lowest social class, along with prostitutes and slaves, but they were important because they passed along information, since there were no newspapers. Although, the 80’s is different from the new aged music because a lot of young teens are starting to realize that the 80’s actually has meaning and not just random lyrics like today’s music. There has been a lot of research and survey’s that has...
Words: 1450 - Pages: 6
...LESSON PLANNING ON COGNITIVE ASPECTS UNDER CONTINUOUS AND COMPREHENSIVE EVALUATION (CCE) Sandip Ratna, Department of Mathematics, State College of Teacher Education, Kohima::Nagaland, e-mail: sandipncte@yahoo.in Abstract 21st century classroom is all about skill development, lateral thinking, creativity, judgement, higher-order skills like reasoning and analysis and teaching needs to serve discouragement for rote memorization. Education, as a planned endeavor, at a personal level on a small scale or institutional level on a large scale, aims at making children capable of becoming active, responsible, productive, and caring members of society. Hence for responsibility of the school and teachers became more important in formal form of education, with the changing needs of the time, we need to change the pattern of instructional strategies so that educational aim can be achieved. With continuous and comprehensive evaluation we must adopt modified entities of cognitive domains known as revised version of Bloom’s Taxonomy developed by Dr. Lorin Anderson, 1999, a former student of Bloom's, and his colleagues. The updated version of Bloom’s Taxonomy with respect to cognitive domain under scholastic aspect in formal education system can be used for the purpose of 21st century formal classroom for teaching-learning as they are from simplest to most complex objectives: remembering, understanding, applying, analyzing, evaluating, and creating. Keywords: Lesson Planning...
Words: 3916 - Pages: 16
...LESSON PLANNING ON COGNITIVE ASPECTS UNDER CONTINUOUS AND COMPREHENSIVE EVALUATION (CCE) Sandip Ratna, Department of Mathematics, State College of Teacher Education, Kohima::Nagaland, e-mail: sandipncte@yahoo.in Abstract 21st century classroom is all about skill development, lateral thinking, creativity, judgement, higher-order skills like reasoning and analysis and teaching needs to serve discouragement for rote memorization. Education, as a planned endeavor, at a personal level on a small scale or institutional level on a large scale, aims at making children capable of becoming active, responsible, productive, and caring members of society. Hence for responsibility of the school and teachers became more important in formal form of education, with the changing needs of the time, we need to change the pattern of instructional strategies so that educational aim can be achieved. With continuous and comprehensive evaluation we must adopt modified entities of cognitive domains known as revised version of Bloom’s Taxonomy developed by Dr. Lorin Anderson, 1999, a former student of Bloom's, and his colleagues. The updated version of Bloom’s Taxonomy with respect to cognitive domain under scholastic aspect in formal education system can be used for the purpose of 21st century formal classroom for teaching-learning as they are from simplest to most complex objectives: remembering, understanding, applying, analyzing, evaluating, and creating. Keywords: Lesson Planning, Content analysis...
Words: 3913 - Pages: 16
...Pre-Socratic Period Thales of Miletus Background: Thales of Miletus (fl. c. 585 BC) is regarded as the father of philosophy. Thales of Miletus was considered one of the Seven Wise Men of ancient Greece. Thales was the first of the Greek natural philosophers and founder of the Ionian school of ancient Greek thinkers. Works/Writings/Philosophy: His is said to have measured the Egyptian pyramids and to have calculated the distance from shore of ships at sea using his knowledge of geometry. He also predicted an eclipse of the sun. In geometry Thales has been credited with the discovery of five theorems like the one that a triangle inscribed in a semicircle has a right angle. He tried to discover the substance from which everything in nature is made off and suggested water. Thales is important in bridging the worlds of myth and reason. He initiated the revolutionary notion that to understand the world one needed to know its nature and that there was an explanation for all phenomena in natural terms. That was a giant step from the assumptions of the old world that supernatural forces determined almost everything. While considering the effects of magnetism and static electricity, he concluded that the power to move other things without the mover itself changing was a characteristic of "life", so that a magnet and amber must therefore be alive in some way (in that they have animation or the power to act). If so, he argued, there is no difference between the living and the dead...
Words: 17879 - Pages: 72
...CARIBBEAN EXAMINATIONS COUNCIL CARIBBEAN CERTIFICATE OF SECONDARY LEVEL COMPETENCE® MATHEMATICS SYLLABUS Effective for examinations from May–June 2012 CCSLC /M/03/12 Published in Jamaica, 2012 by Ian Randle Publishers 11 Cunningham Avenue P O Box 686 Kingston 6 www.ianrandlepublishers.com © 2012, Caribbean Examinations Council ISBN --------------------------------------- (pbk) All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form, or by any means electronic, photocopying, recording or otherwise without prior permission of the author or publisher. Cover and book design by Ian Randle Publishers Correspondence related to the syllabus should be addressed to: The Pro-Registrar Caribbean Examinations Council Caenwood Centre 37 Arnold Road, Kingston 5, Jamaica Telephone Number: + 1 (876) 630-5200 Facsimile Number: + 1 (876) 967-4972 E-mail Address: cxcwzo@cxc.org Website: www.cxc.org Copyright © 2012 by Caribbean Examinations Council The Garrison, St Michael BB14038, Barbados CCSLC /M/03/12 ii This document CCSLC/M/03/2010 replaces NSP/M03/2006 issued in 2006. Please note that the syllabus was revised and amendments are indicated by italics. First Issued 2006 Amended 2012 Please check the website, www.cxc.org for updates on CXC’s syllabuses. CCSLC /M/03/12 iii Contents INTRODUCTION………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………i ...
Words: 14822 - Pages: 60
...Research Paper Number of Third Year Students Having a Grade of 79 and Below (focusing on 2nd Grading; pertaining all subjects) Ritchie Alquisola Perny Austria Mirasol Abrenica Niña Mae Acabal Badian National High School Badian, Cebu S.Y. 2012-2013 Rowena Espinosa Statistics Teacher INTRODUCTION This research about the “Number of third Year Students Having a Grade of 79 and Below” aims to come up a summary of a list of third year students who received a grade of 79 and below during their second grading period, pertaining all subjects. The researchers interviewed each student from six (6) different sections out of nine (9) sections in third year. This represents 67% out of 100%. The six (6) sections were Archimedes, Aristotle, Einstein, Euclid, Kepler, and Newton. The three (3) sections which were not interviewed were Plato, Pythagoras, and Socrates. Results of the study showed that out of 479 third year students, 179 or 37% of these received a grade of 79 and below during their second grading period. To make this research valid, researchers also included the “Slovine’s Formula”, construction of “Frequency Distribution Table”, “Graphical Display of Data”, and the name of the students which were interviewed. SLOVINE’S FORMULA n=N1+Ne2 n=1791+179(0.05)2 n=123.45 ~ 123 RespondentsArchimedesAristotleEinsteinEuclidKeplerNewton | Population391738252436 | Percentage39179=0.22100=22%17179=0.09100=9%38179=0.22100=22%25179=0.14100=14%24179=0.13100=13%36179=0...
Words: 2267 - Pages: 10
...MATHEMATICS has played a significant role in the development of Indian culture for millennia. Mathematical ideas that originated in the Indian subcontinent have had a profound impact on the world. Swami Vivekananda said: ‘you know how many sciences had their origin in India. Mathematics began there. You are even today counting 1, 2, 3, etc. to zero, after Sanskrit figures, and you all know that algebra also originated in India.’ It is also a fitting time to review the contributions of Indian mathematicians from ancient times to the present, as in 2010, India will be hosting the International Congress of Mathematicians. This quadrennial meeting brings together mathematicians from around the world to discuss the most significant developments in the subject over the past four years and to get a sense of where the subject is heading in the next four. The idea of holding such a congress at regular intervals actually started at The Columbian Exhibition in Chicago in 1893. This exhibition had sessions to highlight the advancement of knowledge in different fields. One of these was a session on mathematics. Another, perhaps more familiar to readers of Prabuddha Bharata, was the famous Parliament of Religions in which Swami Vivekananda first made his public appearance in the West. Following the Chicago meeting, the first International Congress of Mathematicians took place in Zurich in 1897. It was at the next meeting at Paris in 1900 that Hilbert...
Words: 4007 - Pages: 17
