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The Julian C. Stanley Study of Exceptional Talent (SET) is an outgrowth of the Study of Mathematically Precocious Youth (SMPY) at Johns Hopkins University.Founded in 1971 by Professor Julian Stanley, SMPY pioneered the concept of above-grade-level testing of middle school students, using the SAT to identify exceptionally talented mathematical reasoners, then offering rigorous academic programs ...
StuRat 15:02, 3 May 2017 (UTC) This 2012 paper by Lagarias and Zong mentions the icosahedron argument (showing that the maximum is at least 20) and says that it is conjectured (but not proved) that 20 is indeed maximal. Gandalf61 15:37, 3 May 2017 (UTC)
Deductive reasoning plays a central role in formal logic and mathematics. [1] In mathematics, it is used to prove mathematical theorems based on a set of premises, usually called axioms. For example, Peano arithmetic is based on a small set of axioms from which all essential properties of natural numbers can be inferred using deductive reasoning.
Mathematics is the study of topics such as quantity (numbers), structure, space, and change. It evolved through the use of abstraction and logical reasoning , from counting , calculation , measurement , and the systematic study of the shapes and motions of physical objects.
The Principles and Standards for School Mathematics was developed by the NCTM. The NCTM's stated intent was to improve mathematics education. The contents were based on surveys of existing curriculum materials, curricula and policies from many countries, educational research publications, and government agencies such as the U.S. National Science Foundation. [3]
In Piaget's model of intellectual development, the fourth and final stage is the formal operational stage.In the classic book "The Growth of Logical Thinking from Childhood to Adolescence" by Jean Piaget and Bärbel Inhelder formal operational reasoning takes many forms, including propositional reasoning, deductive logic, separation and control of variables, combinatorial reasoning, and ...
Logic is the formal science of using reason and is considered a branch of both philosophy and mathematics and to a lesser extent computer science.Logic investigates and classifies the structure of statements and arguments, both through the study of formal systems of inference and the study of arguments in natural language.
Prior to the 2017 reform, the basic A-Level course consisted of six modules, four pure modules (C1, C2, C3, and C4) and two applied modules in Statistics, Mechanics and/or Decision Mathematics. The C1 through C4 modules are referred to by A-level textbooks as "Core" modules, encompassing the major topics of mathematics such as logarithms ...