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Project SEED
Project SEED is a mathematics education program which works in school districts across the United States. Project SEED is a nonprofit organization that works in partnership with school districts, universities, foundations, and corporations to teach advanced math to elementary and middle school students as a supplement to their regular math instruction. Project SEED also provides professional development for classroom teachers. Founded in 1963 by William F. Johntz, its primary goal is to use mathematics to increase the educational options of low-achieving, at-risk students. About Project SEED is primarily a mathematics instruction program delivered to intact classes of elementary and middle school students, many from low-income backgrounds, to better prepare them for high school and college math. SEED Instruction utilizes the Socratic method, in which instructors use a question-and-answer approach to guide students to the discovery of mathematical principles. The SEED instructor ...
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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 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. National and international organisations regularly hold conferences and 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, ancient Babylonia, ancient Greece, ancient Rome and Vedic India. In most cases, formal education was only available to male children with sufficiently high status, wealth or caste. The oldest known mathematics textbook is the Rh ...
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United States
The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America. It consists of 50 states, a federal district, five major unincorporated territories, nine Minor Outlying Islands, and 326 Indian reservations. The United States is also in free association with three Pacific Island sovereign states: the Federated States of Micronesia, the Marshall Islands, and the Republic of Palau. It is the world's third-largest country by both land and total area. It shares land borders with Canada to its north and with Mexico to its south and has maritime borders with the Bahamas, Cuba, Russia, and other nations. With a population of over 333 million, it is the most populous country in the Americas and the third most populous in the world. The national capital of the United States is Washington, D.C. and its most populous city and principal financial center is New York City. Paleo-Americ ...
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Nonprofit Organization
A nonprofit organization (NPO) or non-profit organisation, also known as a non-business entity, not-for-profit organization, or nonprofit institution, is a legal entity organized and operated for a collective, public or social benefit, in contrast with an entity that operates as a business aiming to generate a Profit (accounting), profit for its owners. A nonprofit is subject to the non-distribution constraint: any revenues that exceed expenses must be committed to the organization's purpose, not taken by private parties. An array of organizations are nonprofit, including some political organizations, schools, business associations, churches, social clubs, and consumer cooperatives. Nonprofit entities may seek approval from governments to be Tax exemption, tax-exempt, and some may also qualify to receive tax-deductible contributions, but an entity may incorporate as a nonprofit entity without securing tax-exempt status. Key aspects of nonprofits are accountability, trustworth ...
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Socratic Method
The Socratic method (also known as method of Elenchus, elenctic method, or Socratic debate) is a form of cooperative argumentative dialogue between individuals, based on asking and answering questions to stimulate critical thinking and to draw out ideas and underlying presuppositions. It is named after the Classical Greek philosopher Socrates and is introduced by him in Plato's Theaetetus as midwifery ( maieutics) because it is employed to bring out definitions implicit in the interlocutors' beliefs, or to help them further their understanding. The Socratic method is a method of hypothesis elimination, in that better hypotheses are found by steadily identifying and eliminating those that lead to contradictions. The Socratic method searches for general commonly held truths that shape beliefs and scrutinizes them to determine their consistency with other beliefs. The basic form is a series of questions formulated as tests of logic and fact intended to help a person or group di ...
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Pre-calculus
In mathematics education, precalculus is a course, or a set of courses, that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus. Schools often distinguish between algebra and trigonometry as two separate parts of the coursework. Concept For students to succeed at finding the derivatives and antiderivatives with calculus, they will need facility with algebraic expressions, particularly in modification and transformation of such expressions. Leonhard Euler wrote the first precalculus book in 1748 called ''Introductio in analysin infinitorum'' (Latin: Introduction to the Analysis of the Infinite), which "was meant as a survey of concepts and methods in analysis and analytic geometry preliminary to the study of differential and integral calculus." H. J. M. Bos (1980) "Newton, Leibnitz and the Leibnizian tradition", chapter 2, pages 49–93, quote page 76, in ''From the Calculus to Set Theory, 1630 – 1910: An Introductory Hi ...
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Group Theory
In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field (mathematics), fields, and vector spaces, can all be seen as groups endowed with additional operation (mathematics), operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, and Standard Model, three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also ce ...
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Number Theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of Complex analysis, analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes ...
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Calculus
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. It has two major branches, differential calculus and integral calculus; the former concerns instantaneous Rate of change (mathematics), rates of change, and the slopes of curves, while the latter concerns accumulation of quantities, and areas under or between curves. These two branches are related to each other by the fundamental theorem of calculus, and they make use of the fundamental notions of convergence (mathematics), convergence of infinite sequences and Series (mathematics), infinite series to a well-defined limit (mathematics), limit. Infinitesimal calculus was developed independently in the late 17th century by Isaac Newton and Gottfried Wilhelm Leibniz. Later work, including (ε, δ)-definition of limit, codify ...
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Geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a ''geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts. During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Carl Friedrich Gauss' ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied ''intrinsically'', that is, as stand-alone spaces, and has been expanded into the theory of manifolds and Riemannian geometry. Later in the 19th century, it appeared that geometries ...
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Berkeley High School (Berkeley, California)
Berkeley High School is a public high school in the Berkeley Unified School District, and the only public high school in the city of Berkeley, California, United States. It is located one long block west of Shattuck Avenue and three short blocks south of University Avenue in Downtown Berkeley, and is recognized as a Berkeley landmark. The school mascot is the Yellowjacket. History The first public high school classes in Berkeley were held at the Kellogg Primary School located at Oxford and Center Streets adjacent to the campus of the University of California. It opened in 1880 and the first high school graduation occurred in 1884. In 1895, the first high school annual was published, entitled the ''Crimson and Gold'' (changed to ''Olla Podrida'' by 1899). In 1900, the citizens of Berkeley voted in favor of a bond measure to establish the first dedicated public high school campus in the city. In 1901, construction began on the northwest portion of the present site of the high ...
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Special Education
Special education (known as special-needs education, aided education, exceptional education, alternative provision, exceptional student education, special ed., SDC, or SPED) is the practice of educating students in a way that accommodates their individual differences, Disability, disabilities, and special needs. This involves the individually planned and systematically monitored arrangement of teaching procedures, adapted equipment and materials, and accessible settings. These interventions are designed to help individuals with special needs achieve a higher level of personal Self-sustainability, self-sufficiency and success in school and in their community, which may not be available if the student were only given access to a Traditional education, typical classroom education. Special education aims to provide accommodated education for disabled students such as learning disability, learning disabilities, learning difficulties (such as dyslexia), communication disorders, emo ...
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National Diffusion Network
The National Diffusion Network (United States, 1974–1995) was the first federally sponsored effort to identify and spread to America's schools innovative education programs. The program was created administratively by the then-Office of Education in the Department of Health, Education, and Welfare as an effort to make use of the best of the Elementary and Secondary Education Act Title III education innovations. The NDN operated successfully, at a congressionally approved appropriations level varying between $8-million and $14-million per year, for 20 years. It, like several other small programs then administered by the U.S. Department of Education was eliminated by having its funding stopped by the 105th Congress, under the implementation of a cost-cutting initiative sponsored by new Speaker of the House Newt Gingrich, called the Contract with America. There were several components of the National Diffusion Network. The most central were Developer Demonstrators, projects of ...
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