This post describes foundational reasoning abilities and mathematical knowledge students need to develop before beginning a course in calculus.
1. Covariational reasoning
Continue reading “Prerequisite knowledge for calculus”
Tag: reasoning
Theories and ideas behind the math lessons in this blog
I have put together in this post some of the ideas behind the kind of mathematics teaching I promote. As I stated in the subheadings of this blog, the articles and lessons I write here are not about making mathematics easy because it isn’t but about making mathematics makes sense because it does. Before reading any of the articles below, I suggest read the About page first and what I think mathematics is. I hope I make sense in the following articles. Click here for the list of math lessons.
To understand mathematics is to make connection
Teaching through Problem Solving
What is mathematical investigation?
Exercises, Problems, and Math Investigations
Why it is bad habit to introduce math concepts through their definitions
What is reasoning? How can we teach it?
What is the role of visualization in mathematics?
Making generalizations in mathematics
What is abstraction in mathematics?
I also have a new blog about research studies in mathematics teaching and learning.