Teachers can know too much
High School chemistry rests on a base of sophisticated quantum mechanics. Fortunately, it’s not necessary to master the advanced subject in order to use its results.
It’s simpler than that
Articles Tagged with mathematics
Ways of learning and of avoiding it
Life is not a word problem
Our tutoring consultant continues to gain insights from his students.
Interpreting French Oast
The complicated business of reading signs
Even simple daily tasks can involve very sophisticated thinking.
When predictions are wrong
The role of science fiction
Today’s world doesn’t look like most science fiction stories pictured it. But accurate prediction isn’t the main point of the genre.
Extremes
They need not actually be spectacular
Our astronomer, somewhat reluctantly, talks about the Supermoon
On textbooks
Learning and re-learning
Textbooks are to learn from, of course. But who is doing the learning, and when?
Hard problems and easy ones
What’s difficult is not always clear
Humans have accomplished some pretty amazing things, from putting men on the Moon (with old technology!) to sequencing their own heredity. But stubborn problems that look much easier persist.
Ringing the changes
The sophisticated basis of old technology
Our astronomer spent a few years in England, where he learned something of the arcane art of ringing church bells. In the belfries of that country are wonderful examples of essentially Medieval technology that also demonstrate advanced mathematical and physical ideas.
Unhappy with success
The Standard Model works too well
An enormous apparatus for scientific research is finding only what was expected. This bothers scientists.
A plausible assumption
It’s reasonable and makes sense, but it’s wrong
Our astronomer describes how an assumption widely made in his science in past years turned out to be completely erroneous.