This text is appropriate for a broad range of students from elementary-education students (it is almost critical for them because elementary-education teachers teach math every day; they need to understand it)
Richard Courant's book is a great resource for teachers and students. New Post on Substack: Against Deception By Joselle, on March 29th, 2025 Yesterday I posted myfirst full length piece on Substack. I haven’t completely figured out the mechanics yet, so the same piece got posted twice....
" Students ask this question at all levels and in all subjects. Often teachers feel exasperated. Yet the question is reasonable because we generally indicate the importance of ideas by the extent to which we hold students accountable for them. Accountability may come in the form of a test or...
not in preparation for any Math Olympiad or “regular” test, not on the advice of any of their teachers, not as part of any organized program — to talk about pure math, math more interesting than the math found in their textbooks. The three students in ...
This post, which has been sitting in my drafts for 3.5 years, is the beginning of the next phase. I have just recently retired from the GaDOE and am now working independently to deepen everyone’s (students, parents, teachers, schools, and districts) understanding of what it means to teac...
Parents or guardians or adults above 18 years looking for a quality content on complete fundamentals of math for their ward Teachers who want to learn how to present the material in front of their target students A general math lover who wants to enjoy mathematics ...
1. What is the cooccurrence of proportional reasoning knowledge resources and noticing practices for elementary and secondary prospective teachers when watching a lesson on proportional reasoning and given one prompt about students and one prompt about teacher–student-interaction?
There was a script in the chapter, ‘Children, please listen to me. You all count the number of hug that you want to give to your teachers,’ said the teacher. Some children spontaneously counted them; it seemed that the teacher’s question in the story was for them too. Performative....
For example, defines an exponential function. Any time increases by 1, increases by a factor of 3. factored form (of a quadratic expression) A quadratic expression that is written as the product of a constant times two linear factors is said to be in factored form. For example, and ...
example of how to go about explaining things. Not the only way, nor the best way – just one way. And apparently there’s a need out there for this kind of thing. Then I thought to myself – are there things I would say to or upload for teachers if I had a channel just for ...