Cuisenaire Rods

Piaget Concrete

A manipulative Something I can move around and

investigate things with Semi-concrete

A picture of the things I have been moving around

If I have never moved it around before this becomes semi-abstract for me

Piaget

Semi-abstract Symbols or alternate representations

for my semi-concrete models Good time to use algebraic thinking

with students Abstract

Using numbers to represent all parts of the original concrete model

Integer Rods White 1 cm x 1 cm W Red 2 cm x 1 cm R Lime 3 cm x 1 cm L Purple 4 cm x 1 cm P Yellow 5 cm x 1 cm Y Green 6 cm x 1 cm G Black 7 cm x 1 cm K Brown 8 cm x 1 cm N Blue 9 cm x 1 cm B Orange 10 cm x 1 cm E

Integer Rods Equivalents /

Combinations

Number of Equivalents = 2n-

1

Integer Rods

Equivalent Fractions ½ 1/3

¼ Etc.