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Saxon Math
Saxon math, developed by John Saxon (1923–1996), is a teaching method for incremental learning of mathematics created in the 1980s. It involves teaching a new mathematical concept every day and constantly reviewing old concepts. Early editions were deprecated for providing very few opportunities to practice the new material before plunging into a review of all previous material. Newer editions typically split the day's work evenly between practicing the new material and reviewing old material. It uses a steady review of all previous material, with a focus on students who struggle with retaining the math they previously learned. However, it has sometimes been criticized for its heavy emphasis on rote rather than conceptual learning. The Saxon Math 1 to Algebra 1/2 (the equivalent of a Pre-Algebra book) curriculum is designed so that students complete assorted mental math problems, learn a new mathematical concept, practice problems relating to that lesson, and solve a variety of ...
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John Saxon (educator)
John Harold Saxon Jr. (December 10, 1923 – October 17, 1996) was an American mathematics educator who authored or co-authored and self-published a series of textbooks, collectively using an incremental teaching style which became known as Saxon math. Early life and military service Saxon was born in Georgia to parents John Harold and Zollie McArthur Saxon. He graduated from Athens High School in 1941 in Athens, Georgia, and later attended the University of Georgia. He earned a bachelor's degree in engineering from the United States Military Academy at West Point in 1949 and his master's degree in electrical engineering in 1961. He became an Officer (armed forces), officer in the United States Army Air Forces, commanding a Boeing B-17 Flying Fortress, B-17 Flying Fortress in World War II. He later joined United States Air Force, flying 55 missions in a Douglas A-26 Invader, B-26 Invader on Night Intruder missions during the Korean War and reaching the rank of lieutenant colon ...
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Homeschool
Homeschooling or home schooling (American English), also known as home education or elective home education (EHE) (British English), is the education of school-aged children at home or a variety of places other than a school. Usually conducted by a parent, tutor, or online teacher, many homeschool families use Informal education, less formal, more personalized and individualized methods of learning that are not always found in schools. The actual practice of homeschooling varies considerably. The spectrum ranges from highly structured forms based on traditional school lessons to more open, free forms such as unschooling, which is a lesson- and curriculum-free implementation of homeschooling. Some families who initially attended a school go through a deschooling process to decouple from school habits and prepare for homeschooling. While "homeschooling" is the term commonly used in North America, "home education" is primarily used in Europe and many Member states of the Commonweal ...
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Reform Mathematics
Reform refers to the improvement or amendment of what is wrong, corrupt, unsatisfactory, etc. The modern usage of the word emerged in the late 18th century and is believed to have originated from Christopher Wyvill (reformer), Christopher Wyvill's Christopher Wyvill (reformer)#The Yorkshire Association, Association movement, which identified "Parliamentary Reform" as its primary aim. Reform is generally regarded as antithetical to revolution. Developing countries may implement a range of reforms to improve living standards, often with support from international financial institutions and foreign aid, aid agencies. This can involve reforms to macroeconomics, macroeconomic policy, the civil service reform in developing countries, civil service, and Public finance, public financial management. In politics, there is debate over what constitutes reform vs. revolution, and whether all changes labeled "reform" actually represent progress. For example, in the United States, proponents of ...
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Common Core State Standards Initiative
The Common Core State Standards Initiative, also known as simply Common Core, was an American, multi-state educational initiative begun in 2010 with the goal of increasing consistency across state standards, or what K–12 students throughout the United States should know in Language arts, English language arts and mathematics at the conclusion of each Educational stage, school grade. The initiative was sponsored by the National Governors Association and the Council of Chief State School Officers. The initiative also sought to provide states and schools with articulated expectations around the skills students graduating from high school needed in order to be prepared to enter credit-bearing courses at two- or four-year college programs or to enter the workforce. Background In the 1990s, a movement began in the U.S. to establish national educational standards for students across the country. * (a) outlining what students were expected to know and do at each grade level * (b) im ...
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Houghton Mifflin Harcourt
Houghton Mifflin Harcourt Company ( ; HMH) is an American publisher of textbooks, instructional technology materials, assessments, and reference works. The company is based in the Financial District, Boston, Boston Financial District. It was formerly known as the Houghton Mifflin Company, but it changed its name following the 2007 acquisition of Harcourt (publisher), Harcourt Publishing. Prior to March 2010, it was a subsidiary of EMPG, Education Media and Publishing Group Limited, an Irish-owned holding company registered in the Cayman Islands and formerly known as Riverdeep. In 2022, it was acquired by Veritas Capital, a New York-based private-equity firm. Company history In 1832, William Ticknor and John Allen purchased a bookselling business in Boston and began to involve themselves in publishing; James T. Fields joined as a partner in 1843. Fields and Ticknor gradually gathered an impressive list of writers, including Ralph Waldo Emerson, Nathaniel Hawthorne, and Henry Dav ...
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Education Reform
Education reform is the goal of changing public education. The meaning and educational methods have changed through debates over what content or experiences result in an educated individual or an educated society. Historically, the motivations for reform have not reflected the current needs of society. A consistent theme of reform includes the idea that large systematic changes to educational standards will produce social returns in citizens' health, wealth, and well-being. As part of the broader social and political processes, the term education reform refers to the chronology of significant, systematic revisions made to amend the educational legislation, Learning standards, standards, methodology, and Education policy, policy affecting a nation's public school system to reflect the needs and values of contemporary society. In the 18th century, Liberal arts education, classical education instruction from an in-home personal tutor, hired at the family's expense, was primarily a pri ...
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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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Homeschooling
Homeschooling or home schooling (American English), also known as home education or elective home education (EHE) (British English), is the education of school-aged children at home or a variety of places other than a school. Usually conducted by a parent, tutor, or online teacher, many homeschool families use Informal education, less formal, more personalized and individualized methods of learning that are not always found in schools. The actual practice of homeschooling varies considerably. The spectrum ranges from highly structured forms based on traditional school lessons to more open, free forms such as unschooling, which is a lesson- and curriculum-free implementation of homeschooling. Some families who initially attended a school go through a deschooling process to decouple from school habits and prepare for homeschooling. While "homeschooling" is the term commonly used in North America, "home education" is primarily used in Europe and many Member states of the Commonweal ...
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Mathematics Education Reform
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ...
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Traditional Mathematics
Traditional mathematics (sometimes classical math education) was the predominant method of mathematics education in the United States in the early-to-mid 20th century. This contrasts with non-traditional approaches to math education.
A comparison of traditional and reform mathematics curricula in an eighth-grade classroom Education, Summer 2003 by Alsup, John K., Sprigler, Mark J.
Traditional mathematics education has been challenged by several reform movements over the last several decades, notably new math, a now largely abandoned and discredited set of alternative methods, and most recently reform mathematics, reform or standards-based mathematics based on NCTM standards, which is federally supported and has been widely adopted, but subject to ongoing criticism.


Traditional methods

The topics and m ...
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