Man I love statistics and probability theory. Statistical arguments are so crisp!😃👌 Did you know that even though statistics is used in many sciences it boils down to a rigorous field of mathematics called probability theory. Probability theory is defined using measure theory and real analysis. The most important objects in probability theory are the probability measure, sigma algebras, the borel sigma algebra and the probability space. With this we can define functions like a random variable(weird name for a function I know) and so on. Even weirder is that a random variable doesn't have much to do with randomness at all. How to rigorously define randomness is a deeper question. Physicists often defined it as physical noise but this is in fact a circular definition not appreciated by the pure mathematician, however useful. Mathematicians study statistics itself while scientists utilise some results of statistics in their work. (Text by me).😃🤓👩🏼🏫
So this was fun! Every Wednesday and Thursday I try to quit my yammering and release the kids to practice a skill independently or in groups. Before class we had a discussion about information in a problem that might be irrelevant and the kids applied that to their group work by distinguishing irrelevant (pink) and relevant (orange) information to help solve this problem!
After solving I always let them *bedazzle* their paper if they feel inclined to.