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The Millennium Prize Problems are seven unsolved mathematical problems that the Clay Mathematics Institute offered US$ 1 million prizes for in 2000. The only solved problem is the Poincaré conjecture, while the others remain open despite many attempts and controversies.
Learn what the scientific method is, how it works, and why it's important for answering questions about the world. Follow the steps of the scientific method with an example of fixing a broken toaster.
A list of notable unsolved problems in physics grouped into broad areas, such as quantum gravity, quantum mechanics, cosmology, and particle physics. The problems range from theoretical to experimental, and some are related to the Standard Model, dark matter, dark energy, and the origin of the universe.
Inquiry-based learning is a form of active learning that starts by posing questions, problems or scenarios. It contrasts with traditional education, which generally relies on the teacher presenting facts and their knowledge about the subject. Learn about its history, characteristics, levels and examples.
Discovery learning is a constructivist approach to education that involves students exploring and manipulating objects, questions and problems to learn by doing. It is supported by learning theorists such as Piaget, Bruner and Papert, but also has limitations and challenges in terms of effectiveness and accessibility.
This web page provides a comprehensive overview of various mathematical problems that have not been solved yet, ranging from algebra to topology. It also includes lists of unsolved problems proposed by different mathematicians and organizations, such as the Millennium Prize Problems and the Clay Mathematics Institute.
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