Children Exploring the Cardinality of Infinite Sets - Why?

Aim: to give students a means to construct, think, and talk formally and rigorously about infinity without the need for static formalisms such as algebra or set theory.

• Many children are curious about infinity.
• We want children to experience in-depth mathematical explorations.
• Along the way they'll encounter number, fractions, and sequences in a new light.
• This is important and beautiful mathematics.

And we want to understand better constructive computational approaches to learning mathematics.

title | why | what | why toontalk | activities | rationale 1 | activity 1 | findings 1 | rationale 4/5 | activity 4 | activity 5 | findings 4/5 | rationale 8 | activity 8 | findings 8 | conclusions