Interviews of fifth and sixth graders (n=120) found that they approached a task perceptually instead of reasoning with equivalent fractions, which they had studied in school. (Author/MKR)

Describes a method for teaching multiplication of fractions based on Piaget's constructivism. Instead of teaching the algorithm of multiplying the numerators and denominators, students are presented with many problems and ask to invent their own ways of solving them. (DDR)

Describes an attempt to encourage fifth- and sixth-graders to invent their own ways of solving problems involving division with fractions. Emphasizes the importance of social interaction in Piaget's constructivism and explains why debate and verification are important for children's construction of logico-mathematical knowledge. (22 references)…

Presents a teacher's experiences with teaching fractions by employing the constructivist approach. Concludes that children will go much further with depth, pleasure, and confidence if they are allowed to construct their own mathematics to make sense to them every step of the way. (ASK)