# Paper Folding

“The ability to describe, use, and visualize the effects of putting together and taking apart shapes is important because the creating, composing, and decomposing units and higher-order units are fundamental to mathematics.

Further, there is transfer: Composition of shapes supports children’s ability to compose and decompose numbers”

Clements and Sarama

### One simple way to approach composing and decomposing shape is to fold paper.

A task I suggested was simply to take a piece of paper and challenge students to fold it so as to have 2 shapes. Then describe the 2 shapes. Compare the possibilities across the class. (In the early grades just folding and seeing what shapes you can see it the task. I give out rulers and invite students to match them to the fold lines and then trace the line.)

• What if I wanted one triangle and something else? Where would I fold?
• What if I wanted no triangles, where would I fold?
• What if I used 2 folds and wanted 3 shapes but only one triangle? where would I fold?
• What if I used 2 folds and wanted 3 shapes two of them triangles? where would I fold?
• What if I used 2 folds and wanted 3 shapes none of them triangles? where would I fold?

### Predict the Green Folds

#### I am sharing some ppts that are dot collections. Preview them before using with class. I always create 3 slides to repeat each collection. I flash a collection 3 times before initiating a discussion.

Lowrie et al. looked at the effects of a spatial intervention program for grade 8 students. The study involved 876 grade 8 students across 9 schools. The students received 20 hours of spatial interventions while other grade 8 students in the same schools did not. Both sets of students participated in a regular math class. The students who received the “spatial intervention” performed:

• significantly better on spatial tasks (13% higher)
• significantly better on Geometry – Measurement (problems included material not discussed in their intervention or in their math class
• significantly better on Number – Algebra problems