So this set of questions is the result of a few days thinking about prime factors, and 15 pages or so of notebook scribbles. I've had more DM's about these questions than anything else I've written so... ANOTHER THREAD.
Firstly, it's criminal that people 'get through' prime factors in like, 2 lessons max. This topic should be *everything*. It's amazing and gives a billion insights into multiplication and division.
So the prime factor 'tree' is nothing new, but if you unroll it like the image on the right, you miss all the subtleties of what prime factorisation tells you, and can help you deduce. The image on the left is FAR more useful and clear.
I was discussing with primary trainees how important mathematical conversations were, and play, and moving towards a "thought provocation through prompts" model of teaching. So the boy (6) seemed like an apt guinea pig (bribed with strawberry laces).
So I asked hiim to select the shape with the most sides from a box of shapes, and he selected this. How many sides I ask? He counts, "five, so pentagon"
Tiny personal thread.
My 10 year old son has high functioning autism. Home schooling has been pretty straight forward for almost every single thing we've done with him with one very profound exception...
He intensly dislikes anything related to English (or other subjects, but it manifests mostly in English) that requires him to use imagination without scaffold. Completely shuts down on it, refuses to do anything. Any pushing to do it causes an argument.
oops [intensely].
I've really struggled with this. Offering some scaffold hasn't really helped either. So things like 'write a narrative from the perspective of...' or 'write a diary entry as a...' or even 'write a poem' causes him real anxiety... until today!
Rest in peace Don Steward, you were and will continue to be a huge inspiration and positive influence on mathematics teachers.
If you are unfamiliar with Don, I am jealous that you will get lost for the first time in a joyous discovery of the endless wonders within his website. donsteward.blogspot.com
I first discovered his resources back in the early 2010's and they changed they way i thought about resources very quickly. I contacted him in 2014 to see if he would come and talk to my trainees in my new job as a mathematics teacher trainer
Today is Tom Lehrer's birthday. He's 91. 🎂
Tom is one of my favourite people on the planet, so for the uninitiated, here's a thread about him...
Tom Lehrer studied mathematics at Harvard in 1946 and later taught classes at MIT, Harvard, Wellesley and the University of California. He’s best known for his satirical comedy songwriting in the 50’s and 60’s (some of which involved maths).
His most famous song is The Elements which you almost certainly know. In it, Tom sets the names of all the elements to the tune of a song from The Pirates of Penzance, the comic opera by W. S. Gilbert and Arthur Sullivan. Even Daniel Radcliffe is a fan…