DescriptionIn the third clip Alan presented another model to show the difference between one half and one third. He built a model using one dark green rod, two light green rods, three red rods, and six white...
DescriptionDanielle and Gregory presented their model to represent the solution to the problem: Which is larger one half or one fourth and by how much. They built a model of an orange and dark green train, two...
DescriptionIn clip 4, researcher Carolyn Maher asked the class to determine the number name for the white rod in the first model that had been built, in which the orange and red train was called one. James,...
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...
DescriptionResearcher Carolyn Maher then asked the students to share their solutions as a class and Graham and Michael responded. Graham said the orange and the red would be called one and the dark greens would...
DescriptionIn clip 5, researcher Carolyn Maher then asked the students to compare one half and one quarter and determine the difference between the two. The students worked in their groups to build models that...
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...
DescriptionResearcher Maher began the session by discussing the ideas that the students had worked on during the previous session. Then, the students worked in groups and revisited the task: Which is larger, one...
DescriptionThis one-on-one interview between Researcher Carolyn Maher and Stephanie is a 48-minute discussion that occurred in the 4th grade on the day after Stephanie and her partner, Dana, worked in their...
DescriptionIn this 8 minutes whole class discussion about early algebra ideas (specifically with regards to integers), Researcher Robert B. Davis models adding positive and negative integers to a class of...