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2. Langlands program - Wikipedia

   en.wikipedia.org/wiki/Langlands_program

   Langlands program. In representation theory and algebraic number theory, the Langlands program is a web of far-reaching and consequential conjectures about connections between number theory and geometry. Proposed by Robert Langlands ( 1967, 1970 ), it seeks to relate Galois groups in algebraic number theory to automorphic forms and ...

3. Mathematics education in the United States - Wikipedia

   en.wikipedia.org/wiki/Mathematics_education_in...

   e. Mathematics education in the United States varies considerably from one state to the next, and even within a single state. However, with the adoption of the Common Core Standards in most states and the District of Columbia beginning in 2010, mathematics content across the country has moved into closer agreement for each grade level.

4. Foundations of mathematics - Wikipedia

   en.wikipedia.org/wiki/Foundations_of_mathematics

   Foundations of mathematics is the logical and mathematical framework that allows the development of mathematics without generating self-contradictory theories, and, in particular, to have reliable concepts of theorems, proofs, algorithms, etc. This may also include the philosophical study of the relation of this framework with reality.

5. History of mathematics - Wikipedia

   en.wikipedia.org/wiki/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 ...

6. Lists of mathematics topics - Wikipedia

   en.wikipedia.org/wiki/Lists_of_mathematics_topics

   Basic mathematics. This branch is typically taught in secondary education or in the first year of university. Outline of arithmetic. Outline of discrete mathematics. List of calculus topics. List of geometry topics. Outline of geometry. List of trigonometry topics. Outline of trigonometry.

7. Project-based learning - Wikipedia

   en.wikipedia.org/wiki/Project-based_learning

   Project-based learning is a teaching method that involves a dynamic classroom approach in which it is believed that students acquire a deeper knowledge through active exploration of real-world challenges and problems. [ 1] Students learn about a subject by working for an extended period of time to investigate and respond to a complex question ...