Proof :: Math Education Papers

Proof Proof. What is it and why does this simple term cause such a stir among mathematics educators and mathematics students? If you were to ask a young child to prove a mathematical fact, they would be happy to show you many examples of how it works. This does not constitute a proof but it is a step in the right direction. If you were to ask a high school student or first year college student to do a proof, you will most likely be met with groans and feelings of disgust. Students at this age have probably encountered proof in a geometry class where they were expected to follow a strict format without much freedom to express proofs on their own. However, if you were to ask a mathematician about proof they would begin to tell you about how beautiful proof in mathematics can be. Proof has always been a topic of interest for me. In high school geometry and my first year of college, I too did not understand proof. I felt like many other students, frustrated by the fact that we were asked to prove theorems that the book had already told us were true. It was as though the instructor was playing magical games on the chalkboard and all of the sudden we had a proof. However, as time progressed, I began to see the beauty of proof. Then, mathematical induction introduced me to the power of proof. In this paper I hope to address the concept of proof, how it relates to understanding and the implications for mathematics education. BACKGROUND In the 1950’s and 60’s proof played a significant role in mathematics education. Then in 1989, the National Council of Teachers of Mathematics (NCTM) deemphasized proof and replaced it with reasoning. Following this, mathematics educators began to see that students had difficulty with proof because they had little contact with it. In response, NCTM in the 2000 standards, elevated proof to a standard, emphasizing that it should be part of all students mathematical experiences (Knuth). Schoenfeld states proof is inseparable from mathematics. It is essential in communicating, doing, and recording mathematics (153). Throughout most of the history of mathematics education, proof has been more of a topic of study instead of a way to understand mathematics (Knuth 73). In addition, proof has only been limited to the college bound student or the student enrolled in geometry.

Hero In Myth and Film :: essays papers

Hero In Myth and Film " †¦and he saved the day, got his girl and everyone lived happily ever after." Sweet, short, cut and dry, that was the typical ending of our childhood books and early movies. There was the perfect hero and the bad villain. That was in the pre-modern era, now our hero isn’t always perfect and has his flaws. The hero in today’s movies needs these flaws and needs to travel through a combination of paths to become a hero. In order to sell movies which decide who a hero is in today’s society. A hero in today’s society needs to admit that he needs help and isn’t superman, he needs to have problems and prove that he doesn’t belong up on a pedestal where his image is totally unattainable, third he needs to travel one of the paths of a hero according to Seger. Bruce Willis plays the character John McClain in the trilogy Die Hard, he is a good example of a hero in America today. In the third movie, McClain takes on a partner to help him fight a mad bomber. This is different from the movies from the past, James Bond or John Wayne never needed help. The partner he picks is a inner city black man, in the fifties this never would have happened. The fact that he picks a black man incorporates some multicultural aspects into the movie. The fact that he picks a partner shows some post modern aspects of Hollywood. Both of these facts help sell movies and help define a hero in America today. Another aspect that makes McClain a post modern hero in America is the fact that he to has problems, James Bond was never like this, he always had a woman by his side, or falling at his feet. People held this man in high esteem, because he was perfect. However in real life blond bimbos at your feet don’t happen all the time. Post modern heroes have problems McClain even though he is out saving lives and helping people his wife wants a divorce. People can relate better to John McClain because we all have problems besides the bad guys. The hero today isn’t so perfect and people are able to relate to him more easily. The travel of a hero from an average guy to a hero via the myths defined by Seger is also another determining factor in what a hero is today. Hero In Myth and Film :: essays papers Hero In Myth and Film " †¦and he saved the day, got his girl and everyone lived happily ever after." Sweet, short, cut and dry, that was the typical ending of our childhood books and early movies. There was the perfect hero and the bad villain. That was in the pre-modern era, now our hero isn’t always perfect and has his flaws. The hero in today’s movies needs these flaws and needs to travel through a combination of paths to become a hero. In order to sell movies which decide who a hero is in today’s society. A hero in today’s society needs to admit that he needs help and isn’t superman, he needs to have problems and prove that he doesn’t belong up on a pedestal where his image is totally unattainable, third he needs to travel one of the paths of a hero according to Seger. Bruce Willis plays the character John McClain in the trilogy Die Hard, he is a good example of a hero in America today. In the third movie, McClain takes on a partner to help him fight a mad bomber. This is different from the movies from the past, James Bond or John Wayne never needed help. The partner he picks is a inner city black man, in the fifties this never would have happened. The fact that he picks a black man incorporates some multicultural aspects into the movie. The fact that he picks a partner shows some post modern aspects of Hollywood. Both of these facts help sell movies and help define a hero in America today. Another aspect that makes McClain a post modern hero in America is the fact that he to has problems, James Bond was never like this, he always had a woman by his side, or falling at his feet. People held this man in high esteem, because he was perfect. However in real life blond bimbos at your feet don’t happen all the time. Post modern heroes have problems McClain even though he is out saving lives and helping people his wife wants a divorce. People can relate better to John McClain because we all have problems besides the bad guys. The hero today isn’t so perfect and people are able to relate to him more easily. The travel of a hero from an average guy to a hero via the myths defined by Seger is also another determining factor in what a hero is today.

Exploring The Four Ancient Civilizations- Mesopotamia, Egypt, Greece an

Before the beginning of history, people from across the land gradually developed numerous cultures, each unique in some ways while the same time having features in common. Mesopotamia, Egypt, Greece and Israel are all important to the history of the world because of religious, social, political and economic development. In the first civilization, both Mesopotamia and Egypt relied on a hunter-gatherer economic system, during that time, every country in the world strived on it. Mesopotamia had rich soil for agriculture, but experiences floods. For the Mesopotamians, these floods would destroy major cities, but for the Egyptians it would keep the soil rich all year long without the damage that the Mesopotamians had experienced. With the rich soil foods were plentiful around the farm lands, which gave both countries the chance to establish largely dense areas, like what we now know as a city-state. The Nile River also served as a defense for the Egyptians they enjoyed centuries of tranquility and peace in which they used to develop peaceful development of their civilization. For the Mesopotamians, this wasn’t the case. Mesopotamian society consisted of classes and social differences. The nobles, free clients of the nobility, commoners and slaves and Slave women all made up the different classes. The men dominated the women in Mesopotamia. The nobles consisted of the king, his family, the chief priests, and high palace officials. The king was a war leader elected by the citizens. He established an army and led it into battle. Kingship was hereditary. Commoners were free citizens. In ancient Egypt, both women and men could act on their own and were responsible for their own actions. In contrast, Mesopotami... ...males much higher. Also, the four ancient civilizations had to overcome the burden of uniting their people under one king. The need of kings to glorify themselves on statues is a testament of their ruling power, Egypt created many statues that displayed their gods, kings and queens. It was the Egyptians that influenced the Greek to create sculptures of their own ruling powers. Other then sculptures, the Egyptians influenced the Greeks to write on surfaces of buildings, it first started with Hieroglyphs then the ancient Greeks improved on writing, they wrote on large sheets of papyrus which lessened time and made recording events easier. With so much in common the real differences lie beneath the surfaces of religion, power, equal rights and education. All four of the ancient civilizations principles can still be found in many modern countries.

Synopsis of El Filibusterismo Essay

Crisostomo Ibarra of the Noli Me Tangere, who, with Elias’ help, escaped from the pursuing soldiers at Laguna de Bay, dug up his buried treasure, and fled to Cuba where he became rich and befriended many Spanish officials. Thirteen years after leaving the Philippines, Crisostomo Ibarra returned as Simoun, a rich jeweler with a beard and blue-tinted glasses, and a close friend of the Captain-General. Abandoning his personality, he became a revolutionist, seeking revenge against the Spanish Philippine system responsible for his misfortunes by plotting a revolution. Simoun gradually made his way into the Manila high society and influenced every decision of the Captain-General to mismanage the country’s affairs so that a revolution will break out. By using his wealth and political influence, he encourages corruption in the government, promotes the oppression of the masses, and hastens the moral degradation of the country so that the people may become desperate and fight. He sarcastically sides with the upper classes, encouraging them to commit abuses against the masses to encourage the lower classes to revolt against the oppressive Spanish colonial regime. He did not attempt to fight the authorities through legal means but through violent revolution using the masses. Simoun has reasons for plotting a revolution. First is to rescue Marà ­a Clara from the convent of Santa Clara and second, to get rid of ills and evils of Philippine society. The story of El Filibusterismo begins on board the clumsy, roundish shaped steamer Thesteamer was sailing upstream the Pasig from Manila to Laguna de Bay. Among the passengers were Simoun, the rich jeweler; Doà ±a Victorina, the ridiculously pro-Spanish native woman who is going to Laguna in search of her henpecked husband, Doctor Tiburcio de Espadaà ±a, who had deserted her; Paulita Gomez, her beautiful niece; Ben-Zayb (anagram of Ibaà ±ez), a Spanish journalist who writes silly articles about the Filipinos; Father Sibyla, vice-rector of the University of Santo Tomas; Father Camorra, the parish priest of the town of Tiani; Don Custodio, a pro-Spanish Filipino holding a position in the government; Father Salvi, thin Franciscan friar and former cura of San Diego; Father Irene, a kind friar who was a friend of the Filipino students; Father Florentino, a retired scholarly and patriotic Filipino priest; Isagani, a poet-nephew of Padre Florentino and a lover of  Paulita; and Basilio, son of Sisa and promising medical student, whose medical education was financed by his patron, Capitan Tiago. Simoun, a man of wealth and mystery, is a very close friend and confidante of the Spanish governor general. Because of his great influence in Malacaà ±ang, he was called the â€Å"Brown Cardinal† or the â€Å"Black Eminence†. His true identity was discovered by a now grown-up Basilio while he was visiting the grave of his mother, Sisa, as Simoun dug near the grave site for his buried treasures. Simoun spared Basilio’s life and asked him to join in his planned revolution against the government, convincing him by bringing up the tragic misfortunes of Basilio’s family. Basilio declined the offer because he still hoped that the country’s condition will improve. Basilio, at this point, is a graduating student of medicine at the Ateneo Municipal de Manila. After the death of his mother, Sisa, and the disappearance of his younger brother, Crispà ­n, Basilio obeyed the advice of the dying boatman, Elà ­as, and traveled to Manila to study. Basilio was adopted by Captain Tiago after Marà ­a Clara entered the convent. With Captain Tiago’s help, Basilio was able to go to Colegio de San Juan de Letrà ¡n where, at first, he was glared upon by his classmates and teachers not only because of the color of his skin but also because of his untidy appearance which he also experienced at Ateneo. Captain Tiago’s confessor, Father Irene is making Captain Tiago’s health worse by giving him opium even as Basilio tried hard to prevent Captain Tiago from smoking it. He and the other students wanted to establish a Spanish language academy so that they can learn to speak and write Spanish despite the opposition from the Dominican friars of the Universidad de Santo Tomà ¡s. With the help of a reluctant Father Irene as their mediator and Don Custodio’s decision, the academy was established; however they will only serve as caretakers of the school not as the teachers. Depressed and defeated, they held a mock ce lebration at a panciterà ­a while a spy for the friars witnessed the proceedings. Simoun, for his part, kept in close contact with the bandit group of Kabesang Tales, a former cabeza de barangay who suffered misfortunes at the hands of the friars. Once a farmer owning a prosperous sugarcane plantation and a cabeza de barangay (barangay head), he was forced to give everything to the  greedy and corrupt Spanish friars. His son, Tano, who became a civil guard, was captured by bandits; his daughter Juli worked as a maid to get enough ransom money for his freedom; and his father, Tandang Selo, suffered a stroke and became mute. Before joining the bandits, Tales took Simoun’s revolver while Simoun was staying at his house for the night. As payment, Tales left a locket that once belonged to Marà ­a Clara. To further strengthen the revolution, Simoun had Quiroga, a Chinese man hoping to be appointed consul to the Philippines, smuggled weapons into the country using Quiroga’s market as a front. Simoun wished to attack during a stage play with all of his enemies in attendance but he suddenly aborted the attack when he learned from Basilio that Marà ­a Clara had died earlier that day in the convent. A few days after the mock celebration by the students, the people are troubled when disturbing posters are found displayed around the city. The authorities accused the students, those present at the panciterà ­a, of agitation and disturbance of peace and had them arrested. Basilio, although not present at the mock celebration, was also arrested. Captain Tiago died after finding out about the incident and as stated in his will—made by Father Irene, all his possessions were given to the Church, leaving nothing for Basilio. Basilio was left in prison as the other students were released. A high official tried to intervene for the release of Basilio but the Captain-General, bearing grudges against the high official, forced him to tender his resignation. Juli, Basilio’s girlfriend and the daughter of Kabesang Tales, tried to ask for Father Camorra’s help upon the advice of an elder woman. Instead of helping Juli, however, the priest tried to rape her as he had long-hidden desires for Juli. Juli, rather than submit to the will of the friar, jumps over the balcony to her death. Basilio was soon released with the help of Simoun. Basilio, now a changed man and after hearing about Juli’s suicide, finally joined Simoun’s revolution. Simoun then told Basilio his plan at the wedding of Paulita Gà ³mez and Juanito, Basilio’s hunch-backed classmate. His plan was to conceal nitroglycerin inside a pomegranate-styled Kerosene lamp that Simoun will give to the newlyweds as a gift during the wedding reception. The reception took place at the former home of the late Captain Tiago, which was now  filled with explosives planted by Simoun. According to Simoun, the lamp will stay lighted for only 20 minutes before it flickers; if someone attempted to turn the wick, it will explode and kill everyone—important members of civil society and the Church hierarchy—inside the house. Outside the house, Basilio was about to walk away because he knew the lamp was going to explode anytime soon but Basilio had a change of heart and attempted to warn Isagani, his friend and the former boyfriend of Paulita. Simoun left the reception early as planned and left a note behind; â€Å"Mene Thecel Phares.† â€Å"the future is predetermined† Juan Crisostomo Ibarra The people at the reception were shocked because Ibarra was supposed to be dead. Initially thinking that it was simply a bad joke, Father Salvà ­ recognized the handwriting and confirmed that it was indeed Ibarra’s. As people began to panic, the lamp flickered. Father Irene tried to turn the wick up when Isagani, due to his undying love for Paulita, burst into the room and threw the lamp into the river, ruining Simoun’s plans. He escaped by diving into the river as guards chased after him. He later regretted his impulsive action because he had contradicted his own belief that he loved his nation more than Paulita and that the explosion and revolution could have fulfilled his ideals for Filipino society. The band got caught and confessed that Simoun lead them.Simoun, now unmasked as the person behind the attempted bombing and failed revolution, became a fugitive. Wounded and exhausted after he was shot by the pursuing Guardia Civil, he found shelter at the home of Fathe r Florentino, Isagani’s uncle, and comes under the care of Doctor Tiburcio de Espadaà ±a, Doà ±a Victorina’s husband, who was also hiding at the house. The Spanish authorities, however, learned of his presence in the house of Padre Florentino. Lieutenant Perez of the Guardia Civil informs the priest by letter that he would come at eight o’clock that night to arrest Simoun. Simoun took poison in order for him not to be captured alive. Before he died, he revealed his real identity to Father Florentino while they exchanged thoughts about the failure of his revolution and why God forsook him. Father Florentino said that God did not forsake him  and that his plans were not for the greater good but for personal gain. Simoun, finally accepted Father Florentino’s explanation, squeezed his hand and died. Watching Simoun die peacefully with a clear conscience and at peace with God, Father Florentino falls upon his knees and prays for the dead jeweler. Father Florentino then took Simoun’s remaining jewels and threw them into the Pacific Ocean with the corals hoping that they would not be used by the greedy, and that when the time came that it would be used for the greater good, when the nation would be finally deserving liberty for themselves, the sea would reveal the treasures.

Breaking Rules

Jack Inzerillo Eng 101 Professor Meadow 6, march 2013 Breaking rules, me personally I’ve done it multiple times in my past, no I don’t agree it’s a good thing but every time I have broken one I always knew what the consequences for my actions were. I certainly agree that breaking the rules and regulations of life (laws) is absolutely wrong, but I also agree that some laws are absurd and aren’t lenient towards us citizens. I believe if I was in the position where I needed to break a law or else something could possibly happen to me I would most definitely do it and disregard the consequences.For instance, around a month ago I was driving home on the long island express way when I encountered a problem. The problem being was some random guy whom I did not know through something that looked like a rock out of his car and into mine. At first I had now idea what had happen until I looked to my right and I saw him about to throw a cup filled with soda at my car, therefore at that point I sped up away from him. While I was speeding I assume a cop was hiding of the side of the high way and got me on the radar going 90 mph.Soon enough I got pulled over, after explaining to the officer what had happen he didn’t buy my story, and gave me a ticket and told me to be on my way. Moral of my story was to tell you that I do not regret getting that speeding ticket because what if I had stayed there and continuously let the guy throw stuff at my vehicle, something could have happened to me. I still to this day believe if something went wrong and I needed to break the rules again in life I would do it.

How to Deal with Difficult People

I work at JC Penney's and I hear griping all the time from other associates and definitely from customers. Even I gripe about how work does not get finished. My job is to bring out merchandise from the stockroom so I can hang them up on racks. Every morning after I clock in we have to get our bags so we can put our money in the registers. Right as I leave to get my cart from the stockroom a customer always has a return. It never fails that someone has to return. This customer wanted to return a pair of jeans without a receipt or tags. It is hard to explain to a customer our policy if she doesn't want to listen. I told her the policy was that if she wanted to return something she would have to have a receipt or the tags. She wanted me to call management since she knew someone that worked there. I call the operator and ask to see if there were any managers available. The operator told me that there was no one available until noon. I knew after I hung up the customer would not be happy. The irritation arose when the customer said, â€Å"Well I don't have until noon I want my money now! † After telling her again that no one was available she was just standing there with her arms crossed wanting her money back. After a few minutes I finally decided to tell her that she can exchange it for the same thing she had. You aren't supposed to do that but that was the only thing I could think of right then. That idea had worked. I could finally get her off my back and get on with my work. She went to get another pair of jeans. She wasn't happy with what she got but we both apologized for the mess and that was it. I finally made it to the stock room to get my cart. Most of the clothes I put out needs to have a security ink tag on the sleeve. The people who work in the stock room are supposed to hang and put one on each article of clothing. I can not take anything out of the stock room until they are hung right and ink tagged. I went over to the associate and asked her why they haven't been ink tagged. She gave me a nasty look and said that I could do it. That part takes up to much time so I can't get my work finished. I told the lady I wasn't going to take out the cart until it was done right. There were about eight people working in the stockroom at the same time so you would figure the cart would be finished. Another lady decided to quit what she was doing to complete the job. While I was back out on the floor arranging for the clothes to all fit on the racks she brings the cart out to me instead of me having to go back there and get it for myself. She told me that the other girl that didn't do the tagging wasn't feeling to well and wanted to get out of there as soon as possible so that was why she didn't do it. I told her that I was mad or anything I just wanted to get this cart out so I could get another cart. The phone rang as I was getting ready to put shorts out and it was my manager. She told me over the phone that if they don't have time to do something in the back that you should be able to finish the job on your own. I told her that it wasn't our job to ink tag the clothes. Even the people in the back were told from management that they had to do it. I didn't even have any ink tags to do it anyway. She told me that it was ok and I went on with my work. Later in the evening when my work was just about complete I was ringing up a customer and this lady stormed up to the register with an New World Order wrestling shirt. The shirt was from the Children's Department and I work in the Men's Department clear on the other side of the store. I asked her if she needed any help. She started complaining about how these shirts are a disgrace to our children and shouldn't be sold in stores. Waiting to check out about she was preaching to me and the other customers of how it will influence children to fight and get hurt. As I was just standing there I could feel the heat arise in my body because I didn't know what to tell her. I just told her that this is the in-thing and it is a big seller for kids. She snapped back at me wanting to speak to a manager. I called management and they came right away. The customer started going on and on to her about the same thing and the manager told her she was sorry how this clothing has an effect on her and should not buy it if she doesn't like it. We are not the only store that sells this article of clothing. The manager offered her a ten-dollar gift certificate but the customer refused saying she will never shop here again. She simply threw the shirt on the counter and everyone in line was staring at me. The next person in line said that I shouldn't have to put up with people like that. That lady was rude to cut in line to argue about some clothes. I was talking to her how there were stores all over the world selling wrestling shirts. The griping customer saw that I was busy so she came to interrupt my work. I just forgot about what happened and went back to doing my work. Gripers today are found every-where you go. If you want to quit griping just try to keep whatever you want to gripe about to yourself and then there won't be any problems or arguments.

The Impact of Corporate Governance on Firm Performance in Mauritius

Introduction Corporate governance is a field in economics that investigates how to secure/motivate efficient management of corporations by the use of incentive mechanisms, such as contracts, organizational designs and legislation. This is often limited to the question of improving financial performance, for example, how the corporate owners can secure/motivate that the corporate managers will deliver a competitive rate of return. (Mathiesen, 2002). Another definition is â€Å"Corporate Governance is concerned with holding the balance between economic and social goals and between individual and communal goals. The corporate governance framework is there to encourage the efficient use of resources and equally to require accountability for the stewardship of those resources. The aim is to align as nearly as possible the interests of individuals, corporations and society† (Sir Adrian Cadbury in ‘Global Corporate Governance Forum', World Bank, 2000). According to La Porta et al. (2000) â€Å"corporate governance is to a certain extent a set of mechanisms through which outside investors protect themselves against expropriation by the insiders†. The problem is to see whether the corporate governance standards adopted by firms in Mauritius are positively, negatively or more affecting the firms’ performance. Research will be made on a sample of firms operating in Mauritius. Literature Review Related searches in other countries It has been argued that as ownership concentration increases, the incentives and the abilities of shareholders to properly monitor managers increase too. This creates beneficial effect for firms in the sense that performance or profitability improves (Morck et al. 1989)). There are studies which find that higher ownership concentration lead to detrimental effects for corporations in the sense that large blockholders and managers can collude to extract rents from small shareholders (Lehman and Weigand (2000)). The study by Demsetz and Villalonga (2001) provides evidence that there is no significant relation between ownership structure and firm performance. Chhaochharia and Grinstein (2007) looked a t the impact of the 2002 governance rules established by the Sarbanes-Oxley Act on firm value. They found that less compliant firms earn positive abnormal returns compared to more compliant firms. They also found that less compliant large firms earn positive abnormal returns but less compliant small firms earn negative abnormal returns. Bhagat and Bolton (2008) examined the relationship between corporate governance and performance, and found that better corporate governance, board members’ stock ownership, and CEO-Chair separation are positively related to operating performance. They also found that the probability of management turnover is positively related to board members’ stock ownership and board independence when firms perform poorly. Patibandla (2006) examined the ownership structure and firm performance on Indian firms by separating large investors into private foreignin stitutional investors and government-owned local financial institutions. Patibandla found a positive relationship between private foreign institutional investors and firm profitability and a negative relationship between government-owned local financial institutions and firm profitability. Aims & Objectives of Research The aim of this investigation is to make a research on the impact of corporate governance on the performance of firms in Mauritius. The research is going to see the contribution that corporate governance has made on the firms’ financial performance. The research seeks to evaluate the performance of firms in terms of: †¢ Firms’ financial performance †¢ Firms market value The research aim at looking standards which are contributing to high mprovement in firms’ performance and to look also those standards that are contributing to poor performance. The objectives are: †¢ Identify the causes that contribute to high or poor firms’ performance †¢ Measures that can be used to improve the poor performance of firms by comparing their corporate standards adopted by firms experiencing high performance. Research Methodology Sample A sample size of 10 firms is to be selected operating in the private sector of Mauritius. Data The data will be obtained from annual reports for the year 2007 and 2008. Questionnaire A questionnaire will be sent to those firms via letters. The questionnaire will contained defined questions that are relevant to the related research. The questionnaire should be filled by the executives of the respective firms. Methodology Some data will be obtained by looking at secondary data and the other data will be received by letters (Questionnaire). These primary and secondary data will be input in the SPSS software which will analyse and give the result of the analysis of the collected data. Tentative Grant Chat |Activities |9-Sep |9-Oct |9-Nov |9-Dec |10-Jan |10-Feb |10-Mar | Introduction |   |   |   |   |   |   |   | |Literature review |   |   |   |   |   |   |   | |Research Methodology |   |   |   |   |   |   |   | |Analysis of data |   |   |   |   |   |   |   | |Conclusion |   |   |   |   |   |   |   | | References †¢ Bhagat Sanjai, and Brian Bolton, 2008, Corporate governance and firm performance, Journal of Corporate Finance, Vol. 14, pp. 257-273. Chhaochharia Vidhi, and Yaniv Grinstein, 2007, Corporate governance and firm value: The impact of the 2002 governance rules, Journal of Finance, Vol. LXII, No. 4, pp. 1789-1825 †¢ Demsetz, H. and B. Villalonga, 2001, Ownership structure and corporate performance, Journal of Corporate Finance, vol. 7, 209-233. †¢ La Porta, Lopez-de-Silannes, Shleifer, Vishny. Investor perfomance and corporate governance. Journal of Financial Economics. 58 (2000). 3-27. †¢ Lehman, E. and J. Weigand, 2000, Does the governed corporation perform better? Governance structures and corporate performance in Germany, European Finance Review,vol. 4, 157-195. †¢ Mathiesen (2002) http://corpgov. net/library/definitions. html †¢ Morck, R. , A. Shleifer and R. Vishny, 1989, Alternative mechanisms of corporate control,American Economic Review, vol. 79, 842-852. †¢ Patibandla Murali, 2006, Equity pattern, corporate governance and performance: A study of India’s corporate sector, Journal of Economic Behavior & Organization, Vol. 59, pp. 29-44. †¢ Sir Adrian Cadbury in ‘Global Corporate Governance Forum', World Bank, 2000