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...
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...
DescriptionIn this short clip, James explains to Robert B. Davis his solution to the problem: Which is larger, one fourth or one ninth, and by how much? After some questioning, he explains that the train (i.e.,...
DescriptionDuring this small group activity, the students revisited the task: Which is larger, 1/2 or 1/3, and by how much? Some of the students attempted to solve the task using balance beams, but most reverted...
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 this clip, the first of five clips from a single class session, the researcher asks the students to review how they were able to show that 1/4 is larger than 1/9 by 5/36. The students had worked...
DescriptionIn the fifth of six clips from an after-school enrichment session in an urban middle school, James, a 7th grade boy completing a unit about linear functions, has finished his written solution for the...
DescriptionIn the last of six clips from an after-school enrichment session in an urban middle school,
James, a 7th grade boy completing a unit about linear functions, is asked by researcher Markus Hahkioniemi...
DescriptionIn the fourth of six clips from an after-school enrichment session in an urban middle school, James, a 7th grade boy completing a unit about linear functions, continues his work on the Museum problem....