...Trans. Nat/. .Acad. Sci. & .Tech. Philippines 29: 251-260 (2007) /SSN 0115-8848 Teaching High School Physics Effectively Christopher C. Bernido and l\faria Victoria Carpio-.Rernido Research Center for Theoretical Physics Central Visayan Institute Foundation Jagna, Bohol 6308, Philippines The Ascending Levels of Learning and Pedagogical ~1axims that could guide effective teaching of physics are presented. As an example of how these may be applied, the Dynamic Learning Prof:,lfam (DLP) of the Central Visayan Institute Foundation is briefly discussed. The DLP, together with 21st century technology, provides a scenario where the perennial lack of high school physics teachers in the Philippines can be bypassed. Introduction The breadth of topics that may be covered in teaching physics can be extremely wide. After all, physics probes the smallest things in the universe (the quarks and leptons), aiJ the way up to the "biggest" subject one can think of-the birth, death, and fate of the universe itself. One definition for physics states that it is the study of matter and energy. Most everything in the universe is either matter or energy, and this can make physics quite interdisciplinary. No wonder, therefore, that sub-areas in physics may be referred to as Biophysics, Geophysics~ Chemical Physics, Mathematical Physics, Astrophysics, Nuclear Physics, Econophysics, etc., and one also has the physics of sports, the physics of art, and so on. Because of its breadth, there is always...
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...a woman and a Jew, she was paid a minimal amount of money and was not given the status of a professor. In 1929, Emmy Noether was welcomed to the University of Moscow as a guest lecturer. She was a member of the Göttingen University mathematics department until 1933. This was when the Nazis took over and she was unable to continue teaching in Germany. In 1933, Noether moved to the United States and continued her teachings at Bryn Mawr College in Pennsylvania as a guest professor. Here, she was paid a full salary and accepted as a proper part of the staff. In the U.S., she also taught at the Institute of Advanced Study at Princeton. Noether published many papers while working at the University of Erlangen. She also began her research on theoretical algebra and teamed with Felix Klein and David Hilbert working on Einstein’s theory of relativity. In 1907-1919, Noether concentrated on the field of algebraic invariant theory, the Galois Theory, and Physics. She proved two theorems of particle physics and general relativity. ‘Noether’s Theorem’ is one of the most significant contributions to the development of modern physics. In 1920-1926, she devoted her time to the theory of mathematical rings. She developed an abstract and conceptual way to approach algebra. This resulted in principles that unify topology, logic, geometry, algebra, and liner algebra. Noether’s works were a breakthrough in abstract algebra. Her studies on chain conditions and ideals of commutative rings were honored...
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...[pic] Internal Assessment Resource Physics Level 3 |This resource supports assessment against: | |Achievement Standard 91521 | |Carry out a practical investigation to test a physics theory relating two variables in a non-linear relationship | |Resource title: Baby bouncer | |4 credits | |This resource: | |Clarifies the requirements of the Standard | |Supports good assessment practice | |Should be subjected to the school’s usual assessment quality assurance process | |Should be modified to make the context relevant to students in their school environment and ensure that submitted | |evidence is authentic | |Date version published by Ministry of |December 2012 ...
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...EXPERIMENT 3 GROUP B AIM: To find the overall efficiency of plate column operating under total reflux, for a binary system (iso-propanol & n- propanol). APPARATUS: * Distillation Column with reboiler * Automatic digital refractometer * Two fluids with different volatilities. PROCEDURE: * Distillation column was filled with the two fluids. * Then we switched on the heater and set the temperature to 126.6 ̊C * And then we allow the system to reach the equilibrium. * The equilibrium was tested by taking out the samples (from reboiler & distillate) at the interval of 10min such that the refractive index hence concentration was made constant. THEORY: Distillation is one of the most common separation techniques used in the chemical and petroleum industries. It is defined as “a process in which a liquid or vapour mixture of two or more substances is separated into its component fractions of desired purity, by the application and removal of heat. Distillation provides the basis for separating numerous substances into valuable components. The components of a mixture are separated based on relative volatilities, which depend on the differences in boiling temperatures of the components making up the mixture. The separation becomes easier as the difference between the relative volatilities increases. The component with the lowest boiling point flows to the top of the column as a vapour, condensed and exits the column as the distillate. A percentage...
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...is when Planck first got an interest in physics and learned the principle of conservation of energy. He began the studies in 1874 at the University of Munich and studied theoretical physics. After he graduated, he taught math and physics briefly. Planck completed his habilitation thesis and began lecturing in Munich without getting paid becuase he was waiting to be offered a new postion. He also furthered his work on the field of heat theory. Planck then became a professor at Berlin University and joined the Physical Society. As far as Plancks home life goes, he married and had four children. He was friends with theologian Adolf con Harnack and his home soon because a social center. Famous scientists like Albert Einstein and Otto Hahn all frequently visited. His wife died and he remaired and had his third son. Planck's two sons and two daughters all died. By the end of the 1920s, Bohr, Heisenberg, and Pauli had worked out the interpretation of quantum mechanics, but Planck rejected it. He expected that wave mechanics would render the quantum theory, even though this can not be the case. Further work only cemented quantum theory, even against Einstein's revulsions. He originated quantum theory, which won him the Nobel Prize in Physics in 1918. Max Planck made many contributions to theoretical physics, and is very famous for being the originator of quantum theory. He ended his life at Göttingen on October 4, 1947, but he has contributed so much for the...
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...Chemical Product and Process Modeling Volume 2, Issue 3 2007 Article 12 Nonlinear Modelling Application in Distillation Column Zalizawati Abdullah, Universiti Sains Malaysia Norashid Aziz, Universiti Sains Malaysia Zainal Ahmad, Universiti Sains Malaysia Recommended Citation: Abdullah, Zalizawati; Aziz, Norashid; and Ahmad, Zainal (2007) "Nonlinear Modelling Application in Distillation Column," Chemical Product and Process Modeling: Vol. 2 : Iss. 3, Article 12. Available at: http://www.bepress.com/cppm/vol2/iss3/12 DOI: 10.2202/1934-2659.1082 ©2007 Berkeley Electronic Press. All rights reserved. Nonlinear Modelling Application in Distillation Column Zalizawati Abdullah, Norashid Aziz, and Zainal Ahmad Abstract Distillation columns are widely used in chemical processes and exhibit nonlinear dynamic behavior. In order to gain optimum performance of the distillation column, an effective control strategy is needed. In recent years, model based control strategies such as internal model control (IMC) and model predictive control (MPC) have been revealed as better control systems compared to the conventional method. But one of the major challenges in developing this effective control strategy is to construct a model which is utilized to describe the process under consideration. The purpose of this paper is to provide a review of the models that have been implemented in continuous distillation columns. These models are categorized under three major groups: fundamental...
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...than three consecutive words from another writer. I also certify that this paper was prepared by me specifically for this course. Student’s Signature: Khanya Clark-Robinson Khanya Clark-Robinson Final Paper Kahneman1, Daniel and Tversky, Amos. (1979). “Prospect Theory: An Analysis of Decision under Risk.” 1. Big Question The big question of this article is how people make decisions under uncertainty of risks and rewards. Decisions under risks assume that a decision can be quantified as a positive or negative outcome with quantifiable probability. This theory was developed for monetary decisions and the process observations can be included in other fields; fields such as social sciences and policy making. 2. Background Information The standard for analyzing decisions was the theory that quantified the outcome and probability. A reasonable individual will choose the option with the best utility. The probability results should all add up to 100%. The utility theory has a defined logical foundation and it represents a behavior with uncertainty and a variety of decisions. At this time it is the approved method that evaluated decisions in science. Although it is utilized in science it lacks the human psychology that enables real life decisions. 3. Limitations of previous work. The expected utility theory fails in certain types of situations. An example would be insurance companies that utilize the expected utility theory. The profits are generated...
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...Title: The Probability that the Sum of two dice when thrown is equal to seven Purpose of Project * To carry out simple experiments to determine the probability that the sum of two dice when thrown is equal to seven. Variables * Independent- sum * Dependent- number of throws * Controlled- Cloth covered table top. Method of data collection 1. Two ordinary six-faced gaming dice was thrown 100 times using three different method which can be shown below. i. The dice was held in the palm of the hand and shaken around a few times before it was thrown onto a cloth covered table top. ii. The dice was placed into a Styrofoam cup and shaken around few times before it was thrown on a cloth covered table top. iii. The dice was placed into a glass and shaken around a few times before it was thrown onto a cloth covered table top. 2. All result was recoded and tabulated. 3. A probability tree was drawn. Presentation of Data Throw by hand Sum of two dice | Frequency | 23456789101112 | 4485161516121172 | Throw by Styrofoam cup Sum of two dice | Frequency | 23456789101112 | 2513112081481072 | Throw by Glass Sum of two dice | Frequency | 23456789101112 | 18910121214121174 | Sum oftwo dice | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | Total | Experiment1 | 4 | 4 | 8 | 5 | 16 | 15 | 16 | 12 | 11 | 7 | 2 | 100 | Experiment2 | 2 | 5 | 13 | 11 | 20 | 8 | 14 | 8 | 10 | 7 | 2 | 100 | Experiment3 | 1 | 8 | 9 | 10 | 12 | 12 | 13 | 12 | 11...
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...CURRICULUM VITAE John Robinson Present Position: Professor, School of Mathematics and Statistics, University of Sydney. Degrees: University of Queensland, B.Sc. (1961) University of Queensland, B.Sc. (Hons II, 1, Mathematics)(1963). University of Sydney, Ph.D. (Mathematical Statistics)(1969). Thesis title: ”Mixtures of Distributions”. Honours: 1984: Elected Member of the International Statistical Institute. 1990: Elected Fellow of the Institute of Mathematical Statistics. 2008: Awarded the Pitman Medal of the Statistical Society of Australia. Positions held: Biometrician, Queensland Department of Primary Industry, 1961-1964. Lecturer, Biometry Section, Department of Agriculture, University of Sydney, 1964-1966. Lecturer, Department of Mathematical Statistics, University of Sydney, 19661971. Senior Lecturer, Department of Mathematical Statistics, University of Sydney, 1972-1982. Associate Professor, Department of Mathematical Statistics, University of Sydney, 1983-1991. Professor, School of Mathematics and Statistics, University of Sydney, 1991Visiting Associate Professor, Department of Statistics, University of Connecticut, 1969-1970. Visiting Associate Professor, Department of Statistics, University of Waterloo, Canada, 1975-1976. Visiting Lecturer, Department of Statistics, University of California, Berkeley, 1979-1980. Visiting Associate Professor, Department of Statistics, University of Rochester, NY, 1986, January-July. Administration: Head of Department of Mathematical Statistics...
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...Contents No. | Title | Page | 1 | Introduction | 2 | 2 | Part 1 | 6 | 3 | Part 2 | 8 | 4 | Part 3 | 10 | 5 | Part 4 | 13 | 6 | Part 5 | 17 | 7 | Further Exploration | 21 | 8 | Reflection | 22 | Introduction Moral Values: I have learned many moral values while completing this assignment. Better still, I got to know about the importance of applying these moral values into our daily lives. The first moral value is to cooperate with other people. The strategies and solutions of the questions in this project work were discussed among me and a group of friends. This makes things easier and saved a lot of time. The management of time is also important to complete this project work. Other than this assignment, I have homework, extra co curricular activities and tuition classes to attend. Thus a good management of time is essential for me to complete this given task and not to disrupt my daily activities. Perseverance has taught me to be steady and persistent in doing something. In spite of many difficulties I faced throughout the whole procedure I learned that giving up is just not right solution. Obstacles and discouragement should be endured the course of action should be held on with unyielding determination to see obtain sweet fruit of success. I had also learned to appreciate the beauty of mathematics. Waxing eloquently on the basic importance of Mathematics in human life, Roger Bacon (1214-1294), an English Franciscan friar, philosopher, scientist...
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...DICE AND PROBABILITY LAB Learning outcome: Upon completion, students will be able to… * Compute experimental and theoretical probabilities using basic laws of probability. Scoring/Grading Rubric: * Part 1: 5 points * Part 2: 5 points * Part 3: 22 points (2 per sum of 2-12) * Part 4: 5 points * Part 5: 5 points * Part 6: 38 points (4 per sum of 4-12, 2 per sum of 3) * Part 7: 10 points * Part 8: 10 points Introduction: While it is fairly simple to understand the outcomes of a single die roll, the outcomes when rolling two dice are a little more complicated. The goal of this lab is to get a better understanding of these outcomes and the probabilities that go with them. We will examine and compare the experimental and theoretical probabilities for rolling two dice and obtaining a certain sum. Directions: 1. (5 pts) You are going to roll a pair of dice 108 times and record the sum of each roll. Before beginning, make a prediction about how you think the sums will be distributed. (Each sum will occur equally often, there will be more 12s than any other sum, there will be more 5s than any other sum, etc.) Record your prediction here: The more combinations available, the more possibility that the dice will roll that number. For example- there is only one way you can get 2, with rolling the pair of dice with 1 on each. Now with for example 8, you can roll a 3 and a 5 or a 2 and a 6 or a 4 and a 4 which means there is more...
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...philosophical ontology, and forced the philosophical community to rethink the way it conceptualizes “natural” laws and our own intuitions regarding our existence. Is it possible that all of our ideas about the world in which we live are false, and are simply the result of our own desire to believe that we are “real”? Even more troubling, if we are living in a computer simulation, is it possible that the simulation might be shut off at any moment? In this paper, I plan to do two things. First, I hope to consider what conclusions we might draw from Bostrom’s argument, and what implications this might have for how we affect our lives. Second, I plan to discuss a possible objection to Bostrom’s argument, and how this might affect our personal probability for the possibility that we are living in a computer simulation. Bostrom begins his argument by making a few assumptions necessary to the probabilistic claims he makes. The first is substrate-independence. This is simply the claim that if we were able to model the mind with enough detail, then we would be able to create artificial minds capable of thought in the same way that we are. He goes further to assume that, if we were able to simulate the entire world in sufficient detail, and feed this world into the artificial minds we have created in the form of sensory inputs, the artificial minds would be incapable of determining that they were in a simulation, unless they were given explicit knowledge of it by the creators...
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...through the decisions made in the industry every day by the sponsor or pharmaceutical company sponsoring the investigations product. While the sponsor analysis their data, from a team management point of view, the author must determine the number of sites required to achieve the desired results. It is here were statistics and probability comes into place. In order to determine and try to achieve the desired results within the population allowed, the author must determine the number of sites required in order to achieve the desired results. In Phase II, since the sample size is small, the number of sites is determined based on the number of sites needed. For example, past history shows that in order to enroll 95 subjects, 26 sites must be selected. This is based on achieving the desired results 44% of the time. A decision must be made to determine whether or not the author should contract the same number of sites or determine if a different number of sites will be needed. If the desired results are achieved 44% of the time based on past experiences, then in order to achieve a greater success rate, the author will use probability to...
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...Airlines such as WestJet and JetBlue promote low-cost and high-efficiency carriers by giving extremely competitive fares and outstanding customer service. Reservation system for these airlines are so important that when these companies need to make sweeping IT upgrades, their relationships with customers and their brands can be tarnished if things go awry. This can be seen when in 2009, both airlines upgraded their airline reservation systems, SabreSonic CSS was launch, customers struggled to place reservations, and the WestJet Web Site crashed repeatedly. WestJet’s call centers were also overwhelmed, and customers experienced slowdowns at airports. This delay provoked a deluge of customer dissatisfaction. In addition to the increase in customer complaint calls, customers also took to the Internet to express their displeasure. Angry flyers expressed outrage on Facebook and flooded WestJet’s site, causing the repeated crashes. These problems impact both of the airlines operational activities and decision making to change their initial carrier which had started out as a system designed for smaller start-up airlines to a better carrier. Other than that, both airlines needed more processing power to deal with a far greater volume of customers. They also needed features like the ability to link prices and seat inventories to other airlines with whom they cooperated. Both JetBlue and WestJet contracted with Sabre Holdings to upgrade their airline reservation systems. The differences...
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...in nature and is dependent on the number of players, the more the players, the risker the lottery hence the lower the chances of winning. Consider a lottery where in one case the participants are One hundred and in the other are a thousand; the probabilities would be a hundredth and a thousandth respectively meaning the chances of winning the earlier case is higher than the later. Playing a lottery would be a good investment idea whose favorable success implies a sudden glory to wealth acquisition based on the amount of lottery bid. To play a lottery one has to be a risk taker since in itself lottery involves a higher risk and as an investor, the higher the risk the higher the returns. In essence therefore the lottery player has to factor in a lot of risk since the whole idea is a gamble. Before playing lottery, one has to ask several questions for instance; whether it is a good idea to get in to the game or not? With the money factor in mind the other question would be; would I get more or less money in the lottery? Such questions inform the action one would take. Economics reasoning rule dictates that a player would have to continue playing until you get all the money. This is a notion in itself is not sufficient since by probability and the theory of chance one will never get all the results being favorable though it keeps one’s believe in trying and retrying with the objective of always winning in mind. Playing lottery also depends on the financial position and the level...
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