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๐ Montessori Education
The Montessori method of education is a type of educational method that involves children's natural interests and activities rather than formal teaching methods. A Montessori classroom places an emphasis on hands-on learning and developing real-world skills. It emphasizes independence and it views children as naturally eager for knowledge and capable of initiating learning in a sufficiently supportive and well-prepared learning environment. It discourages some conventional measures of achievement, such as grades and tests.
The method was started in the early 20th century by Italian physician Maria Montessori, who developed her theories through scientific experimentation with her students; the method has since been used in many parts of the world, in public and private schools alike.
A range of practices exist under the name "Montessori", which is not trademarked. Popular elements include mixed-age classrooms, student freedom (including their choices of activity), long blocks of uninterrupted work time, specially trained teachers and prepared environment. Scientific studies regarding the Montessori method are mostly positive, with a 2017 review stating that "broad evidence" exists for its efficacy.
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- "Montessori Education" | 2024-05-20 | 21 Upvotes 12 Comments
๐ The Great Debate
The Great Debate, also called the ShapleyโCurtis Debate, was held on 26 April 1920 at the Smithsonian Museum of Natural History, between the astronomers Harlow Shapley and Heber Curtis. It concerned the nature of so-called spiral nebulae and the size of the universe; Shapley believed that distant nebulae were relatively small and lay within the outskirts of Earth's home galaxy, while Curtis held that they were in fact independent galaxies, implying that they were exceedingly large and distant.
The two scientists first presented independent technical papers about "The Scale of the Universe" during the day and then took part in a joint discussion that evening. Much of the lore of the Great Debate grew out of two papers published by Shapley and by Curtis in the May 1921 issue of the Bulletin of the National Research Council. The published papers each included counter arguments to the position advocated by the other scientist at the 1920 meeting.
In the aftermath of the public debate, scientists have been able to verify individual pieces of evidence from both astronomers, but on the main point of the existence of other galaxies, Curtis has been proven correct.
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- "Great Debate (Astronomy)" | 2020-04-25 | 62 Upvotes 9 Comments
- "The Great Debate" | 2019-08-21 | 14 Upvotes 2 Comments
๐ Risch Algorithm for Symbolic Integration
In symbolic computation (or computer algebra), at the intersection of mathematics and computer science, the Risch algorithm is an algorithm for indefinite integration. It is used in some computer algebra systems to find antiderivatives. It is named after the American mathematician Robert Henry Risch, a specialist in computer algebra who developed it in 1968.
The algorithm transforms the problem of integration into a problem in algebra. It is based on the form of the function being integrated and on methods for integrating rational functions, radicals, logarithms, and exponential functions. Risch called it a decision procedure, because it is a method for deciding whether a function has an elementary function as an indefinite integral, and if it does, for determining that indefinite integral.
The complete description of the Risch algorithm takes over 100 pages. The RischโNorman algorithm is a simpler, faster, but less powerful variant that was developed in 1976 by Arthur Norman.
Discussed on
- "Risch Algorithm for Symbolic Integration" | 2019-03-02 | 40 Upvotes 4 Comments
- "Did you know that there's an algorithm for symbolic integration that always works?" | 2009-05-01 | 50 Upvotes 16 Comments
๐ Languages of the Ottoman Empire
The language of the court and government of the Ottoman Empire was Ottoman Turkish, but many other languages were in contemporary use in parts of the empire. Although the minorities of the Ottoman Empire were free to use their language amongst themselves, if they needed to communicate with the government they had to use Ottoman Turkish.
The Ottomans had three influential languages: Turkish, spoken by the majority of the people in Anatolia and by the majority of Muslims of the Balkans except in Albania, Bosnia, and various Aegean Sea islands; Persian, initially used by the educated in northern portions of the Ottoman Empire before being displaced by Ottoman Turkish; and Arabic, used in southern portions of the Ottoman Empire; Arabic was spoken mainly in Arabia, North Africa, Mesopotamia and the Levant. Throughout the vast Ottoman bureaucracy Ottoman Turkish language was the official language, a version of Turkish, albeit with a vast mixture of both Arabic and Persian grammar and vocabulary.
Virtually all intellectual and literate pursuits were taken in Turkish language. Some ordinary people had to hire special "request-writers" (arzuhรขlcis) to be able to communicate with the government. The ethnic groups continued to speak within their families and neighborhoods (mahalles) with their own languages (e.g., Jews, Greeks, Armenians, etc.) In villages where two or more populations lived together, the inhabitants would often speak each other's language. In cosmopolitan cities, people often spoke their family languages, many non-ethnic Turks spoke Turkish as a second language. Educated Ottoman Turks spoke Arabic and Persian, as these were the main foreign languages in the pre-Tanzimat era, with the former being used for science and the latter for literary affairs.
In the last two centuries, French and English emerged as popular languages, especially among the Christian Levantine communities. The elite learned French at school, and used European products as a fashion statement. The use of Ottoman Turkish for science and literature grew steadily under the Ottomans, while Persian declined in those functions. Ottoman Turkish, during the period, gained many loanwords from Arabic and Persian. Up to 88% of the vocabulary of a particular work would be borrowed from those two languages.
Linguistic groups were varied and overlapping. In the Balkan Peninsula, Slavic, Greek and Albanian speakers were the majority, but there were substantial minorities of Turks and Romance-speaking Vlachs. In most of Anatolia, Turkish was the majority language, but Greek, Armenian and, in the east and southeast, Kurdish were also spoken. In Syria, Iraq, Arabia, Egypt and north Africa, most of the population spoke varieties of Arabic with, above them, a Turkish-speaking elite. However, in no province of the Empire was there a unique language.
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- "Languages of the Ottoman Empire" | 2020-02-22 | 87 Upvotes 18 Comments
๐ Thorium-Based Nuclear Power
Thorium-based nuclear power generation is fueled primarily by the nuclear fission of the isotope uranium-233 produced from the fertile element thorium. According to proponents, a thorium fuel cycle offers several potential advantages over a uranium fuel cycleโincluding much greater abundance of thorium found on Earth, superior physical and nuclear fuel properties, and reduced nuclear waste production. However, development of thorium power has significant start-up costs. Proponents also cite the low weaponization potential as an advantage of thorium due to how difficult it is to weaponize the specific uranium-233/232 and plutonium-238 isotopes produced by thorium reactors, while critics say that development of breeder reactors in general (including thorium reactors, which are breeders by nature) increases proliferation concerns. As of 2020, there are no operational thorium reactors in the world.
A nuclear reactor consumes certain specific fissile isotopes to produce energy. Currently, the most common types of nuclear reactor fuel are:
- Uranium-235, purified (i.e. "enriched") by reducing the amount of uranium-238 in natural mined uranium. Most nuclear power has been generated using low-enriched uranium (LEU), whereas high-enriched uranium (HEU) is necessary for weapons.
- Plutonium-239, transmuted from uranium-238 obtained from natural mined uranium.
Some believe thorium is key to developing a new generation of cleaner, safer nuclear power. According to a 2011 opinion piece by a group of scientists at the Georgia Institute of Technology, considering its overall potential, thorium-based power "can mean a 1000+ year solution or a quality low-carbon bridge to truly sustainable energy sources solving a huge portion of mankindโs negative environmental impact."
After studying the feasibility of using thorium, nuclear scientists Ralph W. Moir and Edward Teller suggested that thorium nuclear research should be restarted after a three-decade shutdown and that a small prototype plant should be built.
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- "Thorium-Based Nuclear Power" | 2020-11-06 | 15 Upvotes 5 Comments
๐ Great Ape Personhood
Great ape personhood is a movement to extend personhood and some legal protections to the non-human members of the Hominidae or great ape family: chimpanzees, bonobos, gorillas, and orangutans.
Advocates include primatologists Jane Goodall and Dawn Prince-Hughes, evolutionary biologist Richard Dawkins, philosophers Paola Cavalieri and Peter Singer, and legal scholar Steven Wise.
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- "Great Ape Personhood" | 2019-07-30 | 26 Upvotes 4 Comments
๐ List of Largest US Bank Failures
This is a list of the largest United States bank failures with respect to total assets under management at the time of the bank failure (banks with $1.0 billion or more in assets are listed here). Assets of the banks listed here are figures provided by the Federal Deposit Insurance Corporation.
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- "List of Largest US Bank Failures" | 2023-03-11 | 10 Upvotes 1 Comments
๐ Almost Integer
In recreational mathematics, an almost integer (or near-integer) is any number that is not an integer but is very close to one. Almost integers may be considered interesting when they arise in some context in which they are unexpected.
๐ The entire 1941 Japanese film Kanzashi can be watched on its Wikipedia page
Ornamental Hairpin (็ฐช, Kanzashi) is a 1941 Japanese comedy-drama film written and directed by Hiroshi Shimizu. It is based on the short story Yottsu no yubune (ๅใคใฎๆนฏๆงฝ, lit. "The four bathtubs") by Masuji Ibuse.
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- "The entire 1941 Japanese film Kanzashi can be watched on its Wikipedia page" | 2025-05-02 | 13 Upvotes 1 Comments
๐ Happy Petrov day
Stanislav Yevgrafovich Petrov (Russian: ะกัะฐะฝะธัะปะฐฬะฒ ะะฒะณัะฐฬัะพะฒะธั ะะตััะพฬะฒ; 7 September 1939 โ 19 May 2017) was a lieutenant colonel of the Soviet Air Defence Forces who played a key role in the 1983 Soviet nuclear false alarm incident. On 26 September 1983, three weeks after the Soviet military had shot down Korean Air Lines Flight 007, Petrov was the duty officer at the command center for the Oko nuclear early-warning system when the system reported that a missile had been launched from the United States, followed by up to five more. Petrov judged the reports to be a false alarm, and his decision to disobey orders, against Soviet military protocol, is credited with having prevented an erroneous retaliatory nuclear attack on the United States and its NATO allies that could have resulted in large-scale nuclear war. Investigation later confirmed that the Soviet satellite warning system had indeed malfunctioned.
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- "It's Stanislav Petrov day โ40yrs ago he saved world by suppressing a tech glitch" | 2023-09-26 | 129 Upvotes 7 Comments
- "Happy Petrov day" | 2013-09-26 | 138 Upvotes 30 Comments