Four principles of deeply effective math teaching (Principle 2: Remember…
Four principles of deeply effective math teaching
Principle 1: Let It Make Sense
Don't totally leave a topic until the student both knows "how" and understands the "why". (Often switch between them.)
Tip: You can often test a student's understanding of a topic by asking him to produce an example
Two kinds of understanding
Procedural understanding (how)
It is often possible to learn the "how" mechanically without understanding why something works. Procedures learned this way are often forgotten very easily.
Conceptual understanding (why)
Conceptual and procedural understanding actually help each other
Principle 2: Remember the Goals
The more you can keep these big real goals in mind, the better you can connect your subgoals to them.
And the more you can keep the goals and the subgoals in mind, the better teacher you will be.
to finish the book by the end of school year
make sure the kids pass the test
My student can add, simplify, and multiply fractions
My student can divide by 10, 100, and 1000.
Students need to be able to navigate their lives in this ever-so-complex modern world.
enable the students to understand information aroud us.
teaching deductive reasoning.
let students see some beauty of mathematics and to learn to like it
prepare our students for further studies in math and science.
(Not everyone ultimately needs algebra, but many do, and teens don't always know what profession they might choose or end up with.)
Principle 3: Know Your Tools
Online math games:
Principle 4: Living and Loving Math
Read through some fun math books
Let it make sense.
When you use math in your daily life, explain how you're doing it, and include the children if possible. Figure it out together.