Use a Big Opening for Class

In your planning, consider what you most want students to know and then work backward to develop an opening that promotes sustained interest toward that goal. If possible, represent the unit in several different ways that appeal to different learning strengths and levels of achievable challenge so you can continually engage all students. Here are some fascinating facts you can use as “big openings” with your students to help them with number sense, specifi cally with understanding large ...

 Rebuking the "Good Old Days"

When you hear someone longing for the "good old days," take it with a grain of salt. (Laughter and applause.) Take it with a grain of salt. We live in a great nation and we are rightly proud of our history. We are beneficiaries of the labor and the grit and the courage of generations who came before. But I guess it's part of human nature, especially in times of change and uncertainty, to want to look backwards and long for some imaginary past when everything worked, and the economy humme...

 Artificial Intelligence's Assumption

Artificial intelligence is based on the assumption that the mind can be described as some kind of formal system manipulating symbols that stand for things in the world. Thus it doesn't matter what the brain is made of, or what it uses for tokens in the great game of thinking. Using an equivalent set of tokens and rules, we can do thinking with a digital computer, just as we can play chess using cups, salt and pepper shakers, knives, forks, and spoons. Using the right software, one system (the...

 The One Piece of Dogmatism Allowed the Scientist

It is the business of science to offer rational explanations for all the events in the real world, and any scientist who calls on God to explain something is falling down on his job. This applies as much to the start of the expansion as to any other event. If the explanation is not forthcoming at once, the scientist must suspend judgment: but if he is worth his salt he will always maintain that a rational explanation will eventually be found. This is the one piece of dogmatism that a scientis...

 Hubble Ultra Deep Field (UDF) photograph

Here we go again, one of the epic documents of our time, the Hubble Ultra Deep Field (UDF) photograph, the deepest look into space ever. A random part of the sky, so small it could be covered by a pinhead held at arm's length. A part of the sky -- as NASA says -- that you'd see looking through an eight-foot-long soda straw. A photo exposed over 400 orbits of the Hubble, a total exposure of 11.3 days. The telescope pointing precisely to the same point in space even as it whizzes around the Ear...