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Chicago Movement
The Chicago movement was an educational reform initiative in Illinois during the early 20th century that attempted to create a unified mathematics curriculum in secondary schools. The movement represented one of the earliest systematic attempts to integrate different branches of mathematics in American education.Sigurdson, S. (1962). "The development of the idea of unified mathematics in the secondary school curriculum 1890-1930." Ph.D. dissertation. University of Wisconsin. Overview The Chicago movement emerged in Illinois secondary schools between 1890 and 1930, advocating for an integrated approach to teaching mathematics rather than maintaining traditional divisions between subjects like algebra and geometry. Proponents sought to demonstrate the interconnections between different mathematical topics and their practical applications.Malaty, G. (1998). "Eastern and Western mathematical education: unity, diversity and problems." ''Int. J. Math. Educ. Sci. Technol.'', 3, pp. 421 ...
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Chicago
Chicago is the List of municipalities in Illinois, most populous city in the U.S. state of Illinois and in the Midwestern United States. With a population of 2,746,388, as of the 2020 United States census, 2020 census, it is the List of United States cities by population, third-most populous city in the United States after New York City and Los Angeles. As the county seat, seat of Cook County, Illinois, Cook County, the List of the most populous counties in the United States, second-most populous county in the U.S., Chicago is the center of the Chicago metropolitan area, often colloquially called "Chicagoland" and home to 9.6 million residents. Located on the shore of Lake Michigan, Chicago was incorporated as a city in 1837 near a Chicago Portage, portage between the Great Lakes and the Mississippi River, Mississippi River watershed. It grew rapidly in the mid-19th century. In 1871, the Great Chicago Fire destroyed several square miles and left more than 100,000 homeless, but ...
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Illinois
Illinois ( ) is a U.S. state, state in the Midwestern United States, Midwestern United States. It borders on Lake Michigan to its northeast, the Mississippi River to its west, and the Wabash River, Wabash and Ohio River, Ohio rivers to its south. Of the fifty U.S. states, Illinois has the List of U.S. states and territories by GDP, fifth-largest gross domestic product (GDP), the List of U.S. states and territories by population, sixth-largest population, and the List of U.S. states and territories by area, 25th-most land area. Its capital city is Springfield, Illinois, Springfield in the center of the state, and the state's largest city is Chicago in the northeast. Present-day Illinois was inhabited by Indigenous peoples of the Americas#History, Indigenous cultures for thousands of years. The French were the first Europeans to arrive, settling near the Mississippi and Illinois River, Illinois rivers in the 17th century Illinois Country, as part of their sprawling colony of ...
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Mathematics Curriculum
In contemporary education, mathematics education—known in Europe as the didactics or pedagogy of mathematics—is the practice of teaching, learning, and carrying out Scholarly method, scholarly research into the transfer of mathematical knowledge. Although research into mathematics education is primarily concerned with the tools, methods, and approaches that facilitate practice or the study of practice, it also covers an extensive field of study encompassing a variety of different concepts, theories and methods. List of mathematical societies, National and international organisations regularly hold conferences and List of mathematics education journals, publish literature in order to improve mathematics education. History Ancient Elementary mathematics were a core part of education in many ancient civilisations, including ancient Egypt, Babylonia, ancient Babylonia, ancient Greece, ancient Rome, and Vedic civilization, Vedic Ancient India, India. In most cases, formal edu ...
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Secondary Schools
A secondary school, high school, or senior school, is an institution that provides secondary education. Some secondary schools provide both ''lower secondary education'' (ages 11 to 14) and ''upper secondary education'' (ages 14 to 18), i.e., both levels 2 and 3 of the ISCED scale, but these can also be provided in separate schools. There may be other variations in the provision: for example, children in Australia, Hong Kong, and Spain change from the primary to secondary systems a year later at the age of 12, with the ISCED's first year of lower secondary being the last year of primary provision. In the United States, most local secondary education systems have separate middle schools and high schools. Middle schools are usually from grades 6–8 or 7–8, and high schools are typically from grades 9–12. In the United Kingdom, most state schools and privately funded schools accommodate pupils between the ages of 11 and 16 or between 11 and 18; some UK private sc ...
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Branches Of Mathematics
Mathematics is a broad subject that is commonly divided in many areas or branches that may be defined by List of mathematical objects, their objects of study, by the used methods, or by both. For example, analytic number theory is a subarea of number theory devoted to the use of methods of mathematical analysis, analysis for the study of natural numbers. This glossary is alphabetically sorted. This hides a large part of the relationships between areas. For the broadest areas of mathematics, see . The Mathematics Subject Classification is a hierarchical list of areas and subjects of study that has been elaborated by the community of mathematicians. It is used by most publishers for classifying mathematical articles and books. A B C ...
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American Education
The United States does not have a national or federal educational system. Although there are more than fifty independent systems of education (one run by each state and territory, the Bureau of Indian Education, and the Department of Defense Dependents Schools), there are a number of similarities between them. Education is provided in public and private schools and by individuals through homeschooling. Educational standards are set at the state or territory level by the supervising organization, usually a board of regents, state department of education, state colleges, or a combination of systems. The bulk of the $1.3 trillion in funding comes from state and local governments, with federal funding accounting for about $260 billion in 2021 compared to around $200 billion in past years. By state law, education is compulsory over an age range starting between five and eight and ending somewhere between ages sixteen and nineteen, depending on the state.
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CMS Aug 2019
CMS may refer to: Computing * Call management system * CMS-2, a programming language implemented for and used by the United States Navy * Code Morphing Software, a technology used by Transmeta * Collection management system for a museum collection * Color management system, a system for computers to control the representation of colors * Concurrent mark sweep collector, a garbage collector in the Oracle HotSpot Java virtual machine * Configuration management system * Construction and management simulation, a type of simulation video game * Contact management system, an integrated office solution to record relationships and interactions with customers and suppliers * Content management system, a system for managing content and providing it in various formats * Conversational Monitor System, previously Cambridge Monitor System, an IBM mainframe operating system, also known as VM/CMS and CP/CMS * Course management system, software that facilitates e-learning or computer learn ...
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Algebra
Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication. Elementary algebra is the main form of algebra taught in schools. It examines mathematical statements using variables for unspecified values and seeks to determine for which values the statements are true. To do so, it uses different methods of transforming equations to isolate variables. Linear algebra is a closely related field that investigates linear equations and combinations of them called '' systems of linear equations''. It provides methods to find the values that solve all equations in the system at the same time, and to study the set of these solutions. Abstract algebra studies algebraic structures, which consist of a set of mathemati ...
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Geometry
Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a ''List of geometers, geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point (geometry), point, line (geometry), line, plane (geometry), plane, distance, angle, surface (mathematics), surface, and curve, as fundamental concepts. Originally developed to model the physical world, geometry has applications in almost all sciences, and also in art, architecture, and other activities that are related to graphics. Geometry also has applications in areas of mathematics that are apparently unrelated. For example, methods of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, Wiles's proof of Fermat's ...
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Computer-based Mathematics Education
Computer-based mathematics education (CBME) is an approach to teaching mathematics that emphasizes the use of computers and mathematical software. Computers in math education Computers are used in education in a number of ways, such as interactive tutorials, hypermedia, simulations and educational games. Tutorials are types of software that present information, check learning by question/answer method, judge responses, and provide feedback. Educational games are more like simulations and are used from the elementary to college level. E learning systems can deliver math lessons and exercises and manage homework assignments. Computer-based mathematics * Computer algebra - computer algebra systems, list of computer algebra systems, List of free and open-source software packages#Computer algebra systems, free computer algebra software. * Computational geometry - list of interactive geometry software, list of information graphics software, List of free and open-source software ...
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Mathematics Education
In contemporary education, mathematics education—known in Europe as the didactics or pedagogy of mathematics—is the practice of teaching, learning, and carrying out Scholarly method, scholarly research into the transfer of mathematical knowledge. Although research into mathematics education is primarily concerned with the tools, methods, and approaches that facilitate practice or the study of practice, it also covers an extensive field of study encompassing a variety of different concepts, theories and methods. List of mathematical societies, National and international organisations regularly hold conferences and List of mathematics education journals, publish literature in order to improve mathematics education. History Ancient Elementary mathematics were a core part of education in many ancient civilisations, including ancient Egypt, Babylonia, ancient Babylonia, ancient Greece, ancient Rome, and Vedic civilization, Vedic Ancient India, India. In most cases, formal edu ...
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