Foundations Books and websites about manipulatives in mathematics?

[robertphy]

Do you know about books and websites about manipulatives in mathematics teaching for secondary schools?
I think manipulatives are incredibly useful in teaching Mathematics.

Thank you for your support.

 

[malawi_glenn]

Never heard of that method

 

[martinbn]

What is a manipulative?

 

[jtbell]

Aha, I should have tried a Google search first. As soon as I typed in the word "manipulative", this was the very first hit:

https://en.wikipedia.org/wiki/Manipulative_(mathematics_education)

 

[Mark44]

I believe Cuisinaire rods (see https://www.amazon.com/dp/B000F8R5N2/?tag=pfamazon01-20) fall into the category of mathematics manipulatives. They're very useful IMO for teaching such arithmetic operations as multiplication and division and working with fractional amounts.

They're mostly used in the primary grades. I don't know of anything of this nature that is used in the higher grades.

 

[pbuk]

I believe Cuisinaire rods (see https://www.amazon.com/dp/B000F8R5N2/?tag=pfamazon01-20) fall into the category of mathematics manipulatives.

You beat me to it (although I was going to link https://en.wikipedia.org/wiki/Cuisenaire_rods).

They (the original wooden version) certainly worked for me.

 

[DrClaude]

The Math Institute has material applying Montessori principles to secondary-level math:

https://www.themathinstitute.org/

 

[gmax137]

I've never seen those rods before (elementary school in the 1960s). Though I do remember staring at a floor tiled with small square tiles, and "seeing why" the sum of the first n odd numbers is n^2.

 

[mathwonk]

And thanks to your mental picture, I see why it is also equivalent to the algebraic formula (n+1)^2 - n^2 = 2n+1, which also proves it by induction. cool.