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 numb...

 Matrioshka Brains

Matrioshka Brains (MB)1 are megascale computers constructed out of microelectronic and/or nanoscale components.  MB may be constructed as shells around a star (internally powered Matrioshka Brains: IPMB) or may be constructed independently of a star if large amounts of power are harvested from stars in other locations and beamed to the MB (externally powered Matrioshka Brains: EPMB).  A third variant, (self-powered Matrioshka Brains: SPMB) which generates power via controlled n...

 The Origin of Life from Molecules

The account of the origin of life that I shall give is necessarily speculative; by definition, nobody was around to see what happened. There are a number of rival theories, but they all have certain features in common. The simplified account I shall give is probably not too far from the truth. We do not know what chemical raw materials were abundant on earth before the coming of life, but among the plausible possibilities are water, carbon dioxide, methane, and ammonia: all simple compounds ...

 We Must Become Comfortable with Large Numbers

Borel makes the amusing supposition of a million monkeys allowed to play upon the keys of a million typewriters. What is the chance that this wanton activity should reproduce exactly all of the volumes which are contained in the library of the British Museum? It certainly is not a large chance, but it may be roughly calculated, and proves in fact to be considerably larger than the chance that a mixture of oxygen and nitrogen will separate into the two pure constituents. After we have learned ...