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...
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...
DescriptionIn this second of five clips from a single class session, the students consider how 3 candy bars could have been equally distributed among their class of 25. The students had worked on this problem...
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...
DescriptionIn the last of five clips from a single class session, the researcher reviews with the students how to place whole numbers on a number line. The students are then asked to decide about the placement...
DescriptionIn a whole-class discussion in the third of five clips from a single session, students are asked to compare and order 1/2, 1/3, 1/4 and 1/5. David shares his solution that is based on building models...
DescriptionAmy Martino introduced division of fractions by asking students to describe how many white rods equal an orange and red train. She then asked the students to name the white rod if the orange and red...
DescriptionIn the first of three clips from a single class session, the researcher asks the 4th grade students to explain the mathematical task of the previous day when each of the three small groups within the...
DescriptionAmy Martino leads a whole class discussion during which they talk about ways of writing number sentences for two problems: 1) How many one sixths are in one? and 2) How many one twelfths are in one?...
DescriptionMeredith works with her partner, Michael, as they attempt to write a number sentence that describes how many one sixths are in one. After some discussion with Michael and Amy Martino about the correct...