DescriptionThis session was recorded on the first of two days during which a group of students explored the concepts of surface area and volume while using Cuisenaire rods as manipulative and context for a...
DescriptionAs the students were dispersing after class, David called over researcher Carolyn Maher to share his model. He built a balance beam using one vertical and one horizontal rod, placed two light green...
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 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 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...
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.,...
DescriptionIn the second clip from this session, researcher Carolyn Maher asked the students if they felt confident to justify their solution to the problem: Which is larger, one half or one third, and by how...