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The word mathematics comes from Ancient Greek máthēma (μάθημα), meaning "that which is learnt", [7] "what one gets to know", hence also "study" and "science". The word came to have the narrower and more technical meaning of "mathematical study" even in Classical times.
Lists cover aspects of basic and advanced mathematics, methodology, mathematical statements, integrals, general concepts, mathematical objects, and reference tables. They also cover equations named after people, societies, mathematicians, journals, and meta-lists. The purpose of this list is not similar to that of the Mathematics Subject ...
The largest supporter of reform in the US has been the National Council of Teachers of Mathematics. [4]One aspect of the debate is over how explicitly children must be taught skills based on formulas or algorithms (fixed, step-by-step procedures for solving math problems) versus a more inquiry-based approach in which students are exposed to real-world problems that help them develop fluency in ...
The Socratic method (also known as method of Elenchus or Socratic debate) is a form of argumentative dialogue between individuals, based on asking and answering questions.. In Plato's dialogue "Theaetetus", Socrates describes his method as a form of "midwifery" because it is employed to help his interlocutors develop their understanding in a way analogous to a child developing in the womb.
The flipped classroom intentionally shifts instruction to a learner-centered model, in which students are often initially introduced to new topics outside of school, freeing up classroom time for the exploration of topics in greater depth, creating meaningful learning opportunities. With a flipped classroom, 'content delivery' may take a ...
The controversy started with Hilbert's axiomatization of geometry in the late 1890s. In his biography of Kurt Gödel, John W. Dawson, Jr, observed that "partisans of three principal philosophical positions took part in the debate" [1] – these three being the logicists (Gottlob Frege and Bertrand Russell), the formalists (David Hilbert and his colleagues), and the constructivists (Henri ...