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1. How do the national standards promote inquiry-based learning for math and science?
To answer this question well, it helps to look at the standards from the National Council of Teachers of Mathematics, particularly the "process standards." These standards, which go through all of the grade bands and are identical at each stage, include several standards that directly promote inquiry-based learning. NCTM's problem-solving standard encourages the development of new mathematical knowledge through solving problems. It also expects students to apply and adapt a variety of strategies, and to monitor and reflect on these processes. The emphasis on reasoning and proof encourages students to develop, investigate, and evaluate mathematical conclusions. The communication standard emphasizes collaboration with peers. All of these skills are reinforced through inquiry-based learning, where students are active participants in the educational process - they don't just listen and regurgitate facts, but rather construct their own sets of knowledge through inquiry, experimentation, and problem-solving. The NCTM standards encourage students to construct their mathematical knowledge through the process of solving problems.
The NCTM standards use deliberately vague language ...
This explores the role of national standards in inquiry-based learning, and the role of effective questioning in engaging learners for math and science.