Monday, April 27, 2020
The Dichotomy of Self Reliance and Conformity Essay Essay Example
The Dichotomy of Self Reliance and Conformity Essay Paper The late eighteenth Century in American history was dominated by an epoch of emotional and individualistic values of oneself. and a powerful sense of limitless possibilities. This was the Romanticism Period. An unbelievable figure of marvelous chef-doeuvres were contrived during this period of enlightenment. including Nathaniel Hawthorneââ¬â¢s dramatically thematic and equivocal short narrative. ââ¬Å"Young Goodman Brownâ⬠. every bit good as Ralph Waldo Emersonââ¬â¢s intriguingly influential and uplifting essay. ââ¬Å"Self-Relianceâ⬠. Hawthorneââ¬â¢s composing aspires to implicate theories and subjects about the world of the universe we live in and to exemplify our single restrictions through the art of symbolism and sarcasm. Emerson uses a alone attack in his authorship. endeavouring to animate people to appreciate the universe they live in. and to hold religion and assurance in themselves. Although it is deeply clear that Hawthorne and Emerson have two impressively different political orientations about life and personal bounds. Hawthorne seems to incorporate some of Emersonââ¬â¢s thoughts and values in ââ¬Å"Young Goodman Brownâ⬠. We will write a custom essay sample on The Dichotomy of Self Reliance and Conformity Essay specifically for you for only $16.38 $13.9/page Order now We will write a custom essay sample on The Dichotomy of Self Reliance and Conformity Essay specifically for you FOR ONLY $16.38 $13.9/page Hire Writer We will write a custom essay sample on The Dichotomy of Self Reliance and Conformity Essay specifically for you FOR ONLY $16.38 $13.9/page Hire Writer Through his artlessly superb usage of several literary devices. including fables. Hawthorne incorporates the thought that Young Goodman Brown fails to hold faith in himself and is afraid of failure. which leads to his ultimate devastation. While Hawthorne weaves Emersonian ideas. into his work such as those found in ââ¬Å"Self-Relianceâ⬠. he besides critiques them in ââ¬Å"Young Goodman Brownâ⬠where he focuses on the subject of good and immorality. which contradicts Emersonââ¬â¢s belief that people are innately pure and good. The Romanticism Period in America consisted of two diverse classs. the luring Dark Romantics and the inspirational Transcendentalists. Dark Romantics focal point on subjects of wickedness and immorality. and believe that hurting and enticements are great forces. which are meant to be dealt with and experienced. Dark Romantics are drawn to the strong images of the picturesque past through symbolism and tend to compose with an ambiguity of mode on the complexnesss and sarcasms of life. qualities which Hawthorne successfully incorporated in ââ¬Å"Young Goodman Brownâ⬠. Notwithstanding Hawthorneââ¬â¢s Dark Romantic qualities. he does look to incarnate some of the ideals and principals Transcendentalists. such as Emerson. abide by. Emerson. bearing an optimistic position of life and human nature. believed in advancing peace in the universe by promoting people to acquire in touch with their true ego and tended to see things in either black or white. In the beginning of ââ¬Å"Young Goodman Brownâ⬠. the inexperient character Goodman Brown. who portions Emersonââ¬â¢s vision of seeing people in black and white. presumes that everyone in his community is either good or bad. The similarity of beliefs between Hawthorneââ¬â¢s character. Goodman Brown and Emersonââ¬â¢s political orientation. embracings Hawthorneââ¬â¢s deduction of how inaccurate a personââ¬â¢s perceptual experience may be and how things are non ever as they appear. Although Goodman Brown held his household members in high respect. claiming. ââ¬Å"my father neer went into the forests on such an errand. nor his male parent before himâ⬠. he becomes flustered when the senior traveller. who accompanied him in his iniquitous journey through the forests. answers. ââ¬Å"I have been every bit good acquainted with your household as with of all time a 1 among the Puritans ; â⬠reassuring Goodman Brown that his male parent and gramps were non every bit guiltless as he so robustly assumed. ( 102 ) . Goodman Brown. being the inexperienced person and fleeceable person that he is. races to the decision that everyone is now evil. attesting Emersonââ¬â¢s political orientation of artlessness and pureness. Emerson believes that it is incorrect to let one ego to be influenced by another. and that one must swear in his or her ain intuition instead than conform to the belief of others. Goodman Brown did the complete antonym. He instantly condemned his male parent and gramps one time his attach toing traveller argued that they excessively had sinned. taking him to free religion in goodness. In support of Emersonââ¬â¢s political orientation of trust. Hawthorne allows his readers to presume that Goodman Brownââ¬â¢s deficiency of personal trust is what leads him to isolation. Hawthorne uses the thought of Goodman Brownââ¬â¢s journey in the signifier of a dream as a agency to set up uncertainness in the head of the reader. For the same ground. the storyteller poses the inquiry. ââ¬Å"Had Goodman Brown fallen asleep in the wood and merely dreamed a wild dream of a witch-meeting? â⬠( 111 ) . Hawthorne leaves this inquiry unanswered to demo that it does non count if Goodman Brownââ¬â¢s experience was existent or a dream. but what affairs is how it impacted him. Harmonizing to Emerson. people must swear themselves before swearing others. One must hold assurance in his or her ain abilities. Goodman Brown wholly shunned everyone around him and isolated himself from his community. and although Emerson believed that conforming to society spreads oneââ¬â¢s single ego. he would non hold approved of isolationism. As expected. Emerson and Hawthorne clearly had different positions about American civilization and society. Emerson viewed America as a new and guiltless state with a clear slate. unburdened by old historical events as Europe had been. Hawthorne on the other manus has a more realistic position of America. He realizes that America is non every bit guiltless as Emerson implies. He believes that Americaââ¬â¢s history is still portion of the state and he acknowledges human mistake. When the Satan reassures Goodman Brown. ââ¬Å"I helped your gramps. the constable. when he lashed the Quaker adult female so cleverly through the streets of Salem ; â⬠Hawthorne illustrates through existent events in American history how the Religious society of friendss were persecuted by the Puritans in the 1650s. and besides refers to King Philips War between the Puritans and Native Americans. when the Satan tells Brown that he helped his male parent. ââ¬Å"set fire to an Indian Village. in King Philipââ¬â¢s warâ⬠. connoting that America does non hold such a clear slate ( 102 ) . Hawthorne seems to hold the ability to stand for a character. such as Young Goodman Brown. that has features and beliefs that he does non needfully O.K. of. The ground for this is perchance because his familyââ¬â¢s history stretches back to the early yearss of the Salem Witch Trials where he became good acquainted with Puritan society. Bing a maestro of symbolism. Hawthorne successfully conveys his message of recognition of human mistakes and that there is every bit much immorality in the universe as there is good. Although the subject of good and evil that Hawthorne believes in does non co-occur with Emersonââ¬â¢s belief that people are strictly good. the subject of trust and religion in ââ¬Å"Young Goodman Brownâ⬠seems to associate to both of the authorsââ¬â¢ theories. Emersonââ¬â¢s support of the thought that people should believe in themselves straight opposes Hawthorneââ¬â¢s thought. as portrayed by Goodman Brown. which inquiries whether people are genuinely fit to do determinations for themselves. Emerson espouses the political orientation of ââ¬Å"Self-Relianceâ⬠whereas Hawthorne takes on a conformist position. It would likely be safe to state that our ain personalities are made up of a combination of both schools of idea instead than purely one or the other.
Thursday, March 19, 2020
HACKER Essays - Hacker Culture, Hacking, Identity Theft, Free Essays
HACKER Essays - Hacker Culture, Hacking, Identity Theft, Free Essays The purpose of this essay is to construct a picture of what is a computer hacker, the motives and the way in which hacking takes place. Hackers are people who have been known as a serious hazard to society for actions related to breaching computer systems. Hackers may use a variety of ways to hack into a system. When a hacker is experienced and smart enough, he will use his telnet to access a shell on another machine so that the risk of getting caught is lower than doing it using their own system. Ways in which the hacker will break into the system are: (Hacking motives 2005) One way is that hacker takes guesses at the password or has a crack program to crack the password protecting the system. Second possible way, in which the hacker may get access to the system is to find back doors. This is where the hacker tries to find weaknesses in the system they are trying to enter. A hacker may also try to get into a system by using a program called a WORM. This program is specially programmed to suit the need of the user. This programmer continually tries to connect to a machine at over 100 times a second until eventually the system lets in and the worm executes its program. The program could be anything from getting password files to deleting files depending on what it has been programmed to do. (Hacking 2015) The only possible way to stop a hacker is by not having the computer connected to the net. This is mainly because hackers use a phone line to access the system. One of the main problems is that major companies need to be networked and accessible over the net so that employees can do overdue work or so that people can look up things on that company. There are some motives that hackers have for hacking such as: Some hackers use their skills for criminal activities. On a personal level, a hacker might break into someone's computer and take control of it. Then find passwords and financial information that he could use to defraud the individual. On a larger scale, groups of hackers might target companies as part of a wider criminal operation. On the other hand there are some hackers who use their skills to improve systems and security, informing companies of vulnerabilities so they can fix them. Hence, some companies are keen on hackers' skills to test out systems as a defensive measure. For example, Google runs competitions and invites people to find ways to breach systems. In 2014, it ran a "Pwnium" contest that gave cash prizes to anyone who could compromise various security levels of the Chrome OS. (Why Do People Hack 2014) According to me not every hacker hack for criminal gains. Some of this geniuses benefit society and help develop security. Bibliography: Hacking. NC state university. 2015 Available at: http://ethics.csc.ncsu.edu/abuse/hacking/study.php. [Accessed 20 March 2015]. Hacking motives, High tech brief crime. Australian Government, Australian institute of criminology, 2005. Available at: http://aic.gov.au/media_library/publications/htcb/htcb006.pdf [Accessed 13 March 2015]. Why Do People Hack? | eHow. 2014. 23 Oct. Available at: ehow.com/about_4673738_why-do-people-hack.html. [Accessed 20 March 2015].
Tuesday, March 3, 2020
The Magic LinkedInî Formula
The Magic LinkedInà ® Formula My e-book, How to Write a KILLER LinkedInà ® Profile, enumerates 18 ââ¬Å"Mistakes to Avoidâ⬠as well as 7 ââ¬Å"Bonus Tips.â⬠Thatââ¬â¢s a total of 25 items that I think are important for every LinkedInà ® user to understand and implement (actually more than 25, since many of the chapters have subpoints as well). Nevertheless, on Wednesday I will be giving a presentation at American Family Insuranceââ¬â¢s DreamBank on ââ¬Å"Top Five LinkedInà ® Mistakes.â⬠Not 25, but 5. Itââ¬â¢s not easy to choose the top five, but I managed to do it. Not only that, but I even narrowed it down to three general categories. I call this my ââ¬Å"Magic LinkedInà ® Formulaâ⬠and even if youââ¬â¢re unable to attend my presentation live on Wednesday, you can benefit from the formula. Success on LinkedInà ® comes down to what I have dubbed the ââ¬Å"3 Lsâ⬠(not to be confused with the class of students in their third year of law school): Locatability Likeability ALiveness 1. Locatability If no one finds you on LinkedInà ®, thereââ¬â¢s not much point in having a profile. Unless you are in a rare situation where you prefer not to appear in LinkedInà ® searches, easy locatability means you will get in front of the people searching for someone like you. For job seekers and business owners, being found by a target audience is one big key to success. Increasing your locatability entails two main actions: 1) putting the right keywords in the right places, and 2) growing your network aggressively and appropriately to at least 500 connections. A combination of well-placed keywords and a robust network is a winning LinkedInà ® strategy. 2. Likeability Just because someone finds you on LinkedInà ® doesnââ¬â¢t mean that person will contact you. If your profile is sloppy, incomplete, unfocused, or off target, you will probably be skipped over for someone with a better presentation. If, however, people like what they see, they will be more likely to request a connection or conversation. Likeability means sounding like a human being and not a robot; listing accomplishments without bragging; having an attractive photo and format; and putting your personality onto the page. The more you distinguish yourself as unique, the more you will encourage valuable interaction. 3. ALiveness I like to say that having a LinkedInà ® profile is like having a gym membership. You only get value from it if you do the work! Sitting on your butt will not get you 6-pack abs â⬠¦ or a new client or job through LinkedInà ®. Aliveness on LinkedInà ® includes but is not limited to updating your profile, participating in groups, sharing valuable information, engaging in discussions, and taking relationships off line to the phone or even a coffee shop! Thatââ¬â¢s my Magic LinkedInà ® Formula: Locatability, Likeability and ALiveness! Are you using it? If you already are doing everything listed above, great- you are a power LinkedInà ® user. In that case, I recommend that you dive more deeply into How to Write a KILLER LinkedInà ® Profile for the fine points that will bring your LinkedInà ® success up even another level. Iââ¬â¢ll have time for QA at my DreamBank presentation on Wednesday, and you get to participate too. What burning questions can I answer about my Magic LinkedInà ® Formula and your LinkedInà ® profile challenges?
Saturday, February 15, 2020
Contract Law. Case study Essay Example | Topics and Well Written Essays - 750 words
Contract Law. Case study - Essay Example A court of law usually enforces the contract as long the offeree proves that he posted the letter. A relevant case studied is that of:- For the case of Bella, the letter he posted on 25th September 2006, but arrived on 30th September 2006, the contract to purchase the text book became binding immediately he sent the letter of acceptance. It does not matter that the letter was delayed by the post office. On the issue that since the recommended textbook for the course has changed, and Bella does not wish to buy the textbook, this would not apply. Acceptance one made, it cannot be revoked. The moment Bella expressed his acceptance of an offer, that very moment the contract is concluded, and it does not matter whether the acceptance is by word of mouth or even by writing. Another relevant case studied is that of:- G, applied for the purchase of shares in the plaintiff's company. The offer was accepted promptly, and the company secretary made out a letter of allotment in favour of the defendant. It was held that the contract was complete on posting, and the defendant was liable for the shares. On On the case of Chu who accepted Arun's offer by telephone, his contract became complete when the acceptance was heard by Arun on 30th September 2006. According to the law of contract, there is an exception to the communication of acceptance. A contact is complete only when acceptance is actually communicated to the offeror. But a contract made by telephone is complete only when the acceptance is heard by the offeror. For this case, Chu should not revoke the acceptance on the basis that the book will not be useful since it is not recommended text book in his course. An acceptance once made, it cannot be revoked. On the case of Dilma, who accepted the offer by email sent on 27th September 2006 but read by Arun on 28th September 2006, the contract became binding immediately the email of
Sunday, February 2, 2020
What sources of information do learner use to get a skill outside of Essay
What sources of information do learner use to get a skill outside of the formal education system - Essay Example These sources of information often avail information to the learner although, at times the learner may be unconscious of it. These sources of information include personal learning experience, families, friends, information and communication technology, digital media, internet, community members among other sources. Acquiring a skill for doing a particular job from people experienced in that line is probably the best way of learning. For instance, interacting with people experienced in rock climbing can help one acquire the technique in the most effective way. Safety techniques for using build anchors use belay devices, use karabiners and quick draws for the beginners of rock climbing can best be learnt together with the experienced climbers who are experts. Also several exercises outside classroom can help one develop a particular skill. Thus several years of gymnastics improves oneââ¬â¢s ability to practice yoga. Students may try new things and upon failure to achieve their set objectives, they get assistance from family members (Knight 14). Through family members, a student may acquire a unique skill through copying what the other members of the family do for instance, marrying a vegetarian partner or having a vegetarian parent can make one become vegetarian. Friends from work places or r esidential places can also help one acquire a particular skill. Therefore, doing and attempting to do, forms the basis of a studentââ¬â¢s natural acquisition of skills (Volpe 149). Primarily, parents are regarded as the primary educators to their children. For instance, living with a deaf parent can help one acquire the skills of using sign languages (Juul 108). Through a strengthened relationship between the learner and the parents, a learner acquire relevant information that help him impact relevant skill outside classrooms. Parents avail this relevant information to the learners through story telling in the form of narratives, spiritual teachings
Saturday, January 25, 2020
Social Conformity Essay -- essays research papers
Human beings are defined as ''social animals'' because in every aspects of life they live together, they form a variety of groups and improve relationships with each other. Interaction with others is a natural result of living in society. In the process of interaction, society and its rules has a social impact on each individual. If people face with any kind of social impact such as group pressure, great part of them show conformity by changing their behaviors, ideas, decisions in expected way. A person conforms if he or she chooses a course of action that a majority favors or that is socially acceptable. Some kind of conformity is natural and socially healthy but obeying all the norms, ideas, and decisions without thinking or accepting is harmful for the society and its democratic norms....
Friday, January 17, 2020
Education Equity Essay
The constitution of the United Nations Educational, Scientific and Cultural Organization (UNESCO) was adopted by 20 countries at the London Conference in November 1945 and entered into effect on 4 November 1946. The Organization currently has 191 Member States and six Associate Members. The main objective of UNESCO is to contribute to peace and security in the world by promoting collaboration among nations through education, science, culture and communication in order to foster universal respect for justice, the rule of law, and the human rights and fundamental freedoms that are affirmed for the peoples of the world, without distinction of race, sex, language or religion, by the Charter of the United Nations. To fulfil its mandate, UNESCO performs five principal functions: 1) prospective studies on education, science, culture and communication for tomorrowââ¬â¢s world; 2) the advancement, transfer and sharing of knowledge through research, training and teaching activities; 3) standard-setting actions for the preparation and adoption of internal instruments and statutory recommendations; 4) expertise through technical co-operation to Member States for their development policies and projects; and 5) the exchange of specialized information. UNESCO is headquartered in Paris, France. UNESCO Institute for Statistics The UNESCO Institute for Statistics (UIS) is the statistical office of UNESCO and is the UN depository for global statistics in the fields of education, science and technology, culture and communication. UIS was established in 1999. It was created to improve UNESCOââ¬â¢s statistical programme and to develop and deliver the timely, accurate and policy-relevant statistics needed in todayââ¬â¢s increasingly complex and rapidly changing social, political and economic environments. UIS is based in Montreal, Canada. American Institutes for Research (AIR) Since its founding in 1946 as an independent, non-profit and non-partisan organization, the American Institutes for Research (AIR) has conducted more than 3,500 projects providing basic and applied research, technical support and management services to government agencies, non-profit organizations and private companies. AIRââ¬â¢s work in education spans both the domestic and international areas, with the latter including extensive work in comparative education and international development. 1000 Thomas Jefferson Street NW; Washington, DC 20007-3835; United States; www. air. org. UNESCO Institute for Statistics P. O. Box 6128, Succursale Centre-Ville Montreal, Quebec H3C 3J7 Canada Tel: (1 514) 343-6880 Fax: (1 514) 343-5740 Email: publications@uis. unesco. org http://www. uis. unesco. org ISBN 92-9189-041-3 à © UNESCO-UIS 2007 Ref: UIS/WP/06-03 Cover design: JCNicholls Design Printed by: ICAO Executive summary. The right to education has been recognised by the international community for the last half century and has led to increasing interest in the equity of countriesââ¬â¢ education systems. However, the term ââ¬Å"equityâ⬠is subject to a variety of interpretations. Most would agree that education systems that are ââ¬Å"equitableâ⬠provide high-quality education to all children, regardless of their background or where they live. But from there, opinions diverge about what aspect of education should be distributed ââ¬Å"equitablyâ⬠to whom and about what levels of disparity are ââ¬Å"equitableâ⬠or ââ¬Å"inequitableâ⬠. Recognising the lack of a common language for discussing the issue of equity in education, the UNESCO Institute for Statistics (UIS) undertook a study to bring together some of the diverse approaches to equity and to provide a more systematic approach to conceptualising and measuring the equity of countriesââ¬â¢ education systems. This study comes at an important time for policymakers, particularly in developing countries that are striving to attain the goal of Education for All. With appropriate tools in hand, policymakers will be in a better position to assess the equity of their education systems and to develop and implement policies and programmes to address the most critical related issues. This report presents the results of the study in three components. First, it provides a context for understanding the current interest in educational equity through a review of the evolution of international concerns about equity and previous efforts to define and measure equity more systematically. Second, it presents a framework for measuring educational equity, along with methods for comparing the equity of countriesââ¬â¢ education systems using a set of standard statistical measures. Finally, it demonstrates the application of the framework in 16 of the largest, most-populous countries around the world. These include three countries in Africa (Egypt, Nigeria and South Africa), five in Asia (Bangladesh, China, India, Indonesia and Pakistan), five in Latin America (Argentina, Brazil, Ecuador, Mexico and Peru), along with Canada, the Russian Federation and the United States. The empirical analysis conducted in this report centers on three specific ââ¬Å"objectsâ⬠of equity. One is a measure of access (enrolment ratios) and two are measures of resources allocated to education (expenditure per pupil and pupil-teacher ratios). The framework is applied using two main principles of equity ââ¬â horizontal equity and equal educational opportunity. Horizontal equity examines disparities in access to education and resources for education within countries, using selected measures of dispersion that reflect different concerns of education policy. Equal educational opportunity examines the relationship between wealth and the three objects of equity, as well as urban/rural differences in the provision of access to education and educational resources. ââ¬â iii ââ¬â Educational Equity and Public Policy In presenting the application of the equity framework, geographic regions within countries are used as the unit of analysis. In federal countries, these units are generally states, provinces and other political jurisdictions with authority over education; in nonfederal countries, the units are usually the first administrative entity below the national level. The analysis of horizontal equity focuses on disparities across these units in access and resources; the analysis of equal educational opportunity relates regionsââ¬â¢ wealth (measured as regional product per capita) and population density (a proxy for urban/rural location) with the objects of equity. Coefficients of correlation are used to measure the direction and size of these relationships. We recognise that regional disparities are not the primary concern of policymakers in all countries and that disparities based on gender, race/ethnicity and socioeconomic status may be more significant than geographic disparities. We, therefore, suggest that the analyses presented in the report should not be used as the sole basis for judging whether a countryââ¬â¢s education system is ââ¬Å"equitableâ⬠or ââ¬Å"inequitable;â⬠other analyses are needed to fully inform this issue. However, it is also important to note that geographic disparities are of great importance in many countries, particularly large federal countries, and that there is a long tradition of research on this topic in both developing and developed countries. In the former, the focus has frequently been on access to education, with urban/rural disparities at the core of policy debates. In the latter, the focus has historically been on disparities in resources provided for public education; in recent years, the emphasis has shifted to education outcomes, particularly student achievement. We view the empirical work presented in this report as an extension of that stream of research. Selected findings from the study This study attempted to compare countries on key aspects of educational policy and to assess the relative equity of their education systems, based on differences in access to education and the provision of educational resources in major geographical divisions. Before presenting some of the key findings, a few caveats are in order. First, the findings presented represent a single but important dimension of equity in education. Second, even within the analyses presented here, there is not complete consistency in countriesââ¬â¢ rankings on all access and resource measures. Countries may rank highly on one measure of educational resources and not so well on another. Third, countriesââ¬â¢ comparative rankings on educational equity may depend on the group of countries used in the comparisons. A different mix of countries could produce different determinations in our equity assessment. Finally, disparities within countries may often result from intended acts of policy (e. g. the provision of greater resources in poorer areas to compensate for their lack) that are producing the desired results. It is therefore important not to ââ¬Å"over-interpretâ⬠the findings regarding geographical disparities and to conclude categorically that one countryââ¬â¢s education system is more equitable than anotherââ¬â¢s. ââ¬â iv ââ¬â Educational Equity and Public Policy. Horizontal equity: Regional disparities Table A provides an overview of countriesââ¬â¢ relative standing on horizontal equity, based on the three objects of equity examined in this study: enrolment ratios, expenditure per pupil and pupil-teacher ratios. Countries that fall at the ââ¬Å"topâ⬠of the rankings tend to have relatively small disparities across regions; countries in the ââ¬Å"bottomâ⬠tend to have relatively large disparities; while countries in the ââ¬Å"middleâ⬠tend to have moderate disparities relative to other countries. Based on these findings, we find the following: Access to education: Enrolment ratios â⬠¢ Among the nine countries reporting enrolment ratios for both primary and secondary education, only Mexico has relatively small disparities at both education levels. Egypt and the Russian Federation have moderate disparities in access to primary and secondary education, while India and Brazil tend to have large regional disparities. Argentina and Peru have relatively small regional disparities in access to primary education and moderate disparities in secondary education, while the reverse is the case in South Africa. Indonesia has moderate disparities in access to primary education and relatively large disparities at the secondary level. Among countries only reporting primary enrolment ratios, disparities are relatively small in China and relatively large in Bangladesh and Pakistan. At the secondary level, disparities in enrolment ratios are relatively small in Canada and the United States. â⬠¢ â⬠¢ Educational resources: Expenditure per pupil and pupil-teacher ratios â⬠¢ Canada, Peru, South Africa and the United States show the smallest interregional disparities in expenditure per pupil for primary and secondary education. Argentina, Brazil, Mexico and the Russian Federation fall in the middle range, while China, Egypt and India have the largest disparities in expenditure per pupil across their regions. Overall, there is a strong correspondence between countriesââ¬â¢ rankings on regional disparities in expenditure per pupil and pupil-teacher ratios in primary and secondary education. Canada, Peru, South Africa and the United States are at or near the top of the rankings on both measures, Brazil and the Russian Federation are in the middle, with Egypt and India at the bottom of the rankings. â⬠¢ -v-. Educational Equity and Public Policy â⬠¢ Disparities in pupil-teacher ratios in primary education are smallest in Argentina, Brazil, Indonesia, Mexico and Peru; in the moderate range in Bangladesh, China, Ecuador and the United States; and largest in Egypt, India, Nigeria and Pakistan. Disparities in pupil-teacher ratios at the secondary level show some similarities and some differences with primary education: disparities are smallest in China, Indonesia, Mexico and Peru; in the moderate range in Brazil, Ecuador, Egypt, Nigeria and the United States; and largest in Argentina, India and Pakistan. â⬠¢ Table A. Country placements on horizontal equity analyses of enrolment ratios, expenditure per pupil and pupil-teacher ratios Primary and secondary expenditure per pupil middle * middle top bottom * bottom bottom * middle * * top middle top top Primary and secondary pupilteacher ratio bottom * middle top middle middle bottom bottom middle top bottom middle top middle top top Country Argentina Bangladesh Brazil Canada China Ecuador Egypt India Indonesia Mexico Nigeria Pakistan Peru Russian Federation South Africa United States * Not available. Primary enrolment ratio top bottom bottom * top * middle bottom middle top * bottom top middle middle *. Secondary enrolment ratio middle * bottom top * * middle bottom bottom top * * middle middle top top Primary pupilteacher ratio top middle top * middle middle bottom bottom top top bottom bottom top * * middle Secondary pupilteacher ratio bottom * middle * top middle middle bottom top top middle bottom top * * middle ââ¬â vi ââ¬â Educational Equity and Public Policy Equal educational opportunity Table B provides a summary of findings from the analysis of educational opportunity using the relationship between regional wealth and regional enrolment ratios, expenditure per pupil and pupil-teacher ratios. In the table, a dash (ââ¬Å"-â⬠) signifies that countries tend to have lower enrolment ratios, lower expenditure per pupil or lower pupil-teacher ratios in wealthier regions; and a plus sign (ââ¬Å"+â⬠) signifies that countries tend to have higher enrolment ratios, higher expenditure per pupil or higher pupilteacher ratios in wealthier regions. An asterisk (ââ¬Å"*â⬠) is used in instances where a country does not have a consistent relationship between regional wealth and a given measure. Where the relationships are strongly positive or negative (greater than +0. 50 or less than -0. 50), there are no additions to the designated signs. However, parentheses are used to indicate relationships that are statistically weak (between -0. 50 and -0. 25 or between 0. 25 and 0. 50). Access to education: Enrolment ratios â⬠¢ Egypt, Mexico and Peru perform most poorly on this dimension of equity, with moderate to strong positive relationships between regional wealth and enrolments ratios in both primary and secondary education. In Argentina, Brazil, Canada, India, Indonesia, South Africa and the United States, wealthier regions also tend to have higher enrolment ratios in secondary education. Poorer regions tend to have higher enrolment ratios in primary education in four countries: Argentina, Brazil, India and South Africa. However, India is the only country where the relationship is strong. â⬠¢ Educational resources: Expenditure per pupil and pupil-teacher ratios â⬠¢ Wealthy regions tend to provide greater expenditure per pupil for primary and secondary education in the 10 countries with available data. The relationships are strong in Argentina, Brazil, Canada, China, South Africa and the United States, and moderate in Egypt, Mexico, Peru and the Russian Federation. Higher expenditure results in lower primary and secondary pupil-teacher ratios in wealthier regions in seven of these countries ââ¬â Argentina, Brazil, Canada, China, Egypt, India and Peru. Wealthier regions also tend to have lower pupil-teacher ratios in primary education in Argentina, Brazil, China, Egypt, India and Peru. The same pattern is found in secondary education in these six countries, as well as in Mexico. â⬠¢ â⬠¢ ââ¬â vii ââ¬â Educational Equity and Public Policy Table B. Findings from the analysis of equal educational opportunity ââ¬â The relationship between regional wealth and regional enrolment ratios, expenditure per pupil and pupil-teacher ratios Primary and secondary expenditure per pupil + + + + (+) * n/a (+) n/a (+) (+) + + Primary and secondary pupil-teacher ratio (-) (-) (-) (-) * * * * * * Country Argentina Brazil Canada China Egypt India Indonesia Mexico Nigeria Peru Russian Federation South Africa United States Primary enrolment ratio (-) n/a (+) (+) * (+) n/a (+) * (-) n/a Secondary enrolment ratio + + + n/a (+) (+) (+) (+) n/a + * (+) +. Primary pupilteacher ratio (-) n/a (-) (-) (-) * (+) * (-) n/a n/a * Secondary pupilteacher ratio (-) (-) n/a (-) (-) (-) * (-) * (-) n/a n/a * n/a: Data not available. * Not a statistically significant relationship (correlation between -0. 25 and +0. 25). ââ¬â viii ââ¬â Educational Equity and Public Policy Table of contents Page Executive summary â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ iii Acknowledgements â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 13 1. 2. Introduction â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 15 Contextualising and defining educational equity â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 17 I. Efforts to support educational rights and equityâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 17 A. The United Nations â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 17 B. Other international effortsâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 18 C. Efforts to measure equity â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 19 II. Developing a framework to measure equity in education â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 20 The equity framework â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 22 I. Targets of equity concerns â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 22 II. Objects â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 2 2 A. Access and progressionâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 23 B. Resourcesâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 23 C. Results â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 23 III. Equity principles â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 24 A. Horizontal equity â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 24 B. Vertical equity â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢ ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 24 C. Equal educational opportunity (EEO) â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 25 IV. Measuring equity â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 26 A. Measures of horizontal equity â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 26 1. Range ratio â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 27 2. McLoone Index/adjusted McLoone Index â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 27 3. Coefficient of variation â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã ¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 28 4. Gini coefficient â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 28 B. Measures of vertical equity â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 30 C. Measures of equal educational opportunityâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 30 V. Overview â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 31 Application of the equity framework: enrolment ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 32 I. Introduction to the analysisâ⬠¦Ã ¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 32 A. Countries selected for analysis â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 32 B. Presentation of the analysesâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 36 II. Enrolment ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 37 A. Horizontal equity analysis â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 38 1. Primary educationâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 38 2. Secondary education â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 40 B. Equal educational opportunityâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 43 1. Regional wealth and enrolment ratiosâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 43 2. Regional population density and enrolment ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 44 C. Horizontal equity and equal educational opportunityâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 45 3. 4. -9- Educational Equity and Public Policy 5. Application of the equity framework: Expenditure per pupil â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 47 I. Horizontal equity analysisâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 47 A. Composite rankings â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 49 B. Consistency of rankings on equity measuresâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 50 II. Equal educational opportunity â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 51 A. Regional wealth and expenditure per pupil â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 51 B. Regional population density and expenditure per pupilâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã ¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 52 III. Horizontal equity and equal educational opportunity â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 53 IV. Changes in horizontal equity â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 54 V. Changes in equal educational opportunity â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 56 A. Regional wealth and expenditure per pupil â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 56 B. Regional population density and expenditure per pupilâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 57 Application of the equity framework: Pupil-teacher ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 58 I. Horizontal equity analysisâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 58 A. Primary education â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 60 1. Composite rankings â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 61 2. Consistency of rankings on equity measures â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 62 B. Secondary education â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 63 1. Composite rankings â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 63 2. Consistency of rankings on equity measures â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 65 C. Combined primary and secondary educationâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 66 1. Composite rankings â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 67 2. Consistency of rankings on equity measures â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 68 D. Consistency of rankings on horizontal equity in primary, secondary and combined primary and secondary education â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 69 II. Equal educational opportunity â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 70 A. Regional wealth and pupil-teacher ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 70 B. Regional population density and pupil-teacher ratiosâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 72 III. Horizontal equity and equal educational opportunity â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 73 A. Primary education â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 73 B. Secondary education â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 74 C. Combined primary and secondary educationâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 75 D. Summary of findings â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 76 IV. Changes in horizontal equity â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 78 A. Primary education â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 78 B. Secondary education â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 80 C. Primary and secondary educationâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 81 D. Summary of findings â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 82 V. Changes in equal educational opportunity â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 84 A. Regional wealth and pupil-teacher ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 84 B. Regional population density and pupil-teacher ratiosâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 85 Sources, methods and technical notes â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 87 Referencesâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 105 Glossaryâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 113 Equity-related education laws, policies and research in core countriesâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 118 ââ¬â 10 ââ¬â 6. Appendix 1. Appendix 2. Appendix 3. Appendix 4. Educational Equity and Public Policy Tables Page 3. 1 3. 2 3. 3 4. 1 4. 2 4. 3 4. 4 4. 5 4. 6 4. 7 4. 8 4. 9 5. 1 5. 2 5. 3 5. 4 5. 5 5. 6 5. 7 6. 1 6. 2 6. 3 6. 4 6. 5 6. 6 6. 7 6. 8 6. 9 6. 10 6. 11 6. 12 6. 13 6. 14 6. 15 6. 16 6. 17 6. 18 Types of objects â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 22 Illustration of Gini coefficient ââ¬â distribution of pupil-teacher ratios for country A â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 29 Illustration of Gini coefficient ââ¬â distribution of pupil-teacher ratios for country B â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 30 Type of government, name of regions and number of regions in countriesâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 33 Population and area of countries â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 33 Gross product per capita and population densityâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 35 National primary enrolment ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 38 Horizontal equity measures of primary enrolment ratiosâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 39 Ranking order on horizontal equity measures of primary enrolment ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 39 National secondary enrolment ratiosâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 41 Horizontal equity measures of secondary enrolment ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 41 Ranking order on horizontal equity measures of secondary enrolment ratiosâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 42 National public combined primary and secondary expenditure per pupil â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 48 Horizontal equity measures of public combined primary and secondary expenditure per pupilâ⬠¦. 48 Ranking order on horizontal equity measures of public combined primary and secondary expenditure per pupil â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 49 Change in national average public primary and secondary expenditure per pupil â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 55 Horizontal equity measures of public primary and secondary expenditure per pupil, 1995 and 2002 â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 55 Correlation between GRP per capita and public combined primary and secondary expenditure per pupil, 1995 and 2002â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 56 Correlation between regional population density and public combined primary and secondary expenditure per pupil, 1995 and 2002â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 57 National public primary pupil-teacher ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 59 National public secondary pupil-teacher ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 59 Horizontal equity measures of public primary pupil-teacher ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 60 Ranking order on horizontal equity measures of public primary pupil-teacher ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 60 Horizontal equity measures of public secondary pupil-teacher ratiosâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 63 Ranking order on horizontal equity measures of public secondary pupil-teacher ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 63 Horizontal equity measures of public combined primary and secondary pupil-teacher ratiosâ⬠¦Ã¢â¬ ¦. 66 Ranking order on horizontal equity measures of public combined primary and secondary pupil-teacher ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 66 Correlation between GRP per capita and public pupil-teacher ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 71 Correlation between regional population density and public pupil-teacher ratiosâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 72 Change in national average public primary pupil-teacher ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 79 Horizontal equity measures of public primary pupil-teacher ratios, 1995 and 2002 â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 79 Change in national average public secondary pupil-teacher ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 80 Horizontal equity measures of public secondary pupil-teacher ratios, 1995 and 2002 â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 81 Change in national average public combined primary and secondary pupil-teacher ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦. 81 Horizontal equity measures of public combined primary and secondary pupil-teacher ratios, 1995 and 2002â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 82 Correlation between GRP per capita and public pupil-teacher ratios, 1995 and 2002â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 84 Correlation between regional population density and public pupil-teacher ratios, 1995 and 2002 â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 86 ââ¬â 11 ââ¬â Figures Page 3. 1 3. 2 3. 3 3. 4 4. 1 4. 2 4. 3 4. 4 4. 5 5. 1 5. 2 5. 3 5. 4 5. 5 6. 1 6. 2 6. 3 6. 4 6. 5 6. 6 6. 7 6. 8 6. 9 6. 10 6. 11 6. 12 6. 13 6. 14 Objects and targets of equity â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 23 Interpreting horizontal equity measures â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 27 Illustration of the Gini coefficient â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 29 Overview of the equity frameworkâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 31 Primary enrolment ratio ranking orders on horizontal equity measures â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 40 Secondary enrolment ratio ranking orders on horizontal equity measuresâ⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 42 Correlation between GRP per capita and primary and secondary enrolment ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 43 Correlation between population density and primary and secondary enrolment ratios â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦.. 44 Country positions on horizontal equity and equal educational opportunity measures of enrolment ratios in primary (P) and secondary (S) education â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦ 45 Average rankings on horizontal equity measures of public combined primary and secondary expenditure per pupil â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 50 Public combined primary and secondary expenditure per pupil ranking orders on horizontal equity measures â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 51 Correlation between GRP per capita and public combined primary and secondary expenditure per pupil â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 52 Correlation between regional population density and public combined primary and secondary expenditure per pupil â⬠¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦Ã¢â¬ ¦. 53 Country positions on horizontal equity and equal educational opportunity measures of expenditure per pupil in public combined primary and secondary education.
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