DescriptionDuring this clip, the students discuss a task that had been posed by Erik: If I call the blue rod one, what rod will I call one half? A lively discussion centering on the definition of one half...
DescriptionResearcher Amy Martino posed two related tasks to the students that highlighted the difference between additive and multiplicative reasoning. First, she asked the students: If we call the orange...
DescriptionThis is the fourth in a series of four clips from this session. The researcher, Carolyn Maher, invites the students to take turns placing a number that they have been thinking of onto the big number...
DescriptionThis is the second in a series of four clips from this session. The students discuss Meredith’s placement of fractions on a number line. Erik conjectures that a person would be confused with all...
DescriptionResearcher Amy Martino posed two related tasks to the students. In this clip, the students work on designing a rod that can be called one half when the blue rod is called one. Erik and Alan discuss...
DescriptionDuring this session, Carolyn Maher asked the students to find the number of one third meter long bows from three, nine, twenty-seven, and eighty-one meters of ribbon. The students worked in partners...
DescriptionThe session began with a whole class discussion about the problems that the students had worked on the day before. Afterwards, the students worked with their partners on two series of tasks. These...
DescriptionDuring this session, Carolyn Maher asked the students to find the number of one third meter long bows from three, nine, twenty-seven, and eighty-one meters of ribbon. The students worked in partners...
DescriptionThis session marked a departure from those preceding it as it centered around a different activity. Instead of using Cuisenaire rods to represent fractions, the students were provided ribbons, meter...
DescriptionResearcher Maher began the session by discussing the relative size of fractions within different models. Using the analogy of two different sized dioramas of children in a fishing boat, the class...