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A game called “Th is Is Not a...” encourages multiple solutions and is played in a relaxed environment that encourages creativity. Students pass around an object—such as a toy telephone—and say, “This is not a....” Younger students name an object that is not a toy telephone (for example, “This is not a pencil.”)…
Attend to precision. Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning. They state the meaning of the symbols they choose, including using the equal sign consistently and appropriately. They are careful…
Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution…
There is a certain literal-mindedness in the recent shift away from the humanities. It suggests a number of things. One, the rush to make education pay off presupposes that only the most immediately applicable skills are worth acquiring (though that doesn’t explain the current popularity of political science). Two…