|
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 , a now largely abandoned and discredited set of alternative methods, and most recently reform or standards-bas ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Direct Instruction
Direct Instruction (DI) is a term for the explicit teaching of a skill-set using lectures or demonstrations of the material to students. A particular subset of direct instruction, denoted by capitalization as Direct Instruction, refers to a specific example of the approach developed by Siegfried Engelmann and Wesley C. Becker. DI teaches by explicit instruction, Explicit Instruction. LearnLab. Pittsburgh Science of Learning Center. Retrieved 2017-06-12. in contrast to exploratory models such as . DI includes s, participatory laboratory classes, [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Saxon Math
Saxon math, developed by John Saxon (educator), 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, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Homeschool
Homeschooling or home schooling, also known as home education or elective home education (EHE), 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 an online teacher, many homeschool families use less formal, more personalized and individualized methods of learning that are not always found in schools. The actual practice of homeschooling can vary. 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 deschool phase to break away 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 Commonwealth countries. Homeschooling should not be confused with distance education, which g ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Computer-based Math
Computer-Based Math is an educational project started by Conrad Wolfram in 2010 to promote the idea that routine mathematical calculations should be done with a computer. Conrad Wolfram believes that mathematics education should make the greatest possible use of computers for performing computation leaving students to concentrate on the application and interpretation of mathematical techniques. Wolfram also argues that computers are the basis of doing math in the real world and that education should reflect that and that programming should be taught as part of math education. Wolfram contends that this approach is fundamentally different from most of the use of Computers in the classroom (or Computer-based mathematics education), whose role is to help to teach students to perform hand calculations, rather than to perform those computations and is also distinct from delivery tools such as E-learning systems. In 2010 the websitwww.computerbasedmath.orgwas set up to start develo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Conrad Wolfram
Conrad Wolfram (born 10 June 1970) is a British technologist and businessman known for his work in information technology and mathematics education reform. In June 2020, Wolfram released his first book, ''The Math(s) Fix: An Education Blueprint for the AI Age''. Education and early life Born in Oxford, England, in 1970, Wolfram was educated at Dragon School and Eton College where he learned to program on a BBC Micro. He was an undergraduate student at Pembroke College, Cambridge where he studied the Natural Sciences tripos graduating with a Master of Arts degree from the University of Cambridge. Career Wolfram has been a proponent of Computer-Based Math—a reform of mathematics education to "rebuild the curriculum assuming computers exist." and is the founder of computerbasedmath.org. He argues, "There are a few cases where it is important to do calculations by hand, but these are small fractions of cases. The rest of the time you should assume that students should use a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Calculator
An electronic calculator is typically a portable electronic device used to perform calculations, ranging from basic arithmetic to complex mathematics. The first solid-state electronic calculator was created in the early 1960s. Pocket-sized devices became available in the 1970s, especially after the Intel 4004, the first microprocessor, was developed by Intel for the Japanese calculator company Busicom. Modern electronic calculators vary from cheap, give-away, credit-card-sized models to sturdy desktop models with built-in printers. They became popular in the mid-1970s as the incorporation of integrated circuits reduced their size and cost. By the end of that decade, prices had dropped to the point where a basic calculator was affordable to most and they became common in schools. Computer operating systems as far back as early Unix have included interactive calculator programs such as dc and hoc, and interactive BASIC could be used to do calculations on most 1970s a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Problem Solving
Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from simple personal tasks (e.g. how to turn on an appliance) to complex issues in business and technical fields. The former is an example of simple problem solving (SPS) addressing one issue, whereas the latter is complex problem solving (CPS) with multiple interrelated obstacles. Another classification is into well-defined problems with specific obstacles and goals, and ill-defined problems in which the current situation is troublesome but it is not clear what kind of resolution to aim for. Similarly, one may distinguish formal or fact-based problems requiring psychometric intelligence, versus socio-emotional problems which depend on the changeable emotions of individuals or groups, such as tactful behavior, fashion, or gift choices. Solutions require sufficient resources and knowledge to attain the goal. Professionals such as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
History Of Mathematics
The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. From 3000 BC the Mesopotamian states of Sumer, Akkad and Assyria, followed closely by Ancient Egypt and the Levantine state of Ebla began using arithmetic, algebra and geometry for purposes of taxation, commerce, trade and also in the patterns in nature, the field of astronomy and to record time and formulate calendars. The earliest mathematical texts available are from Mesopotamia and Egypt – '' Plimpton 322'' ( Babylonian c. 2000 – 1900 BC), the ''Rhind Mathematical Papyrus'' ( Egyptian c. 1800 BC) and the '' Moscow Mathematical Papyrus'' (Egyptian c. 1890 BC). All of these texts mention the so-called Pythagorean triples, so, by inference, the Pythagorean theorem seems to be the most anci ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Exploratory Research
Exploratory research is "the preliminary research to clarify the exact nature of the problem to be solved." It is used to ensure additional research is taken into consideration during an experiment as well as determining research priorities, collecting data and honing in on certain subjects which may be difficult to take note of without exploratory research. It can include techniques, such as: *secondary research - such as reviewing available literature and/or data * informal qualitative approaches, such as discussions with consumers, employees, management or competitors * formal qualitative research through in-depth interviews, focus groups, projective methods, case studies or pilot studies According to Stebbins (2001) "Social Science exploration is a broad-ranging, purposive, systematic prearranged undertaking designed to maximize the discovery of generalizations leading to description and understanding". His influential book argues that exploratory research should not use confi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Creativity
Creativity is a phenomenon whereby something new and valuable is formed. The created item may be intangible (such as an idea, a scientific theory, a musical composition, or a joke) or a physical object (such as an invention, a printed literary work, or a painting). Scholarly interest in creativity is found in a number of disciplines, primarily psychology, business studies, and cognitive science. However, it can also be found in education, the humanities (philosophy, the arts) and theology, social sciences (sociology, linguistics, economics), engineering, technology and mathematics. These disciplines cover the relations between creativity and general intelligence, personality type, mental and neural processes, mental health, artificial intelligence; the potential for fostering creativity through education, training, leadership and organizational practices; the factors that determine how creativity is evaluated and perceived; the fostering of creativity for national economic bene ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
