161
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...
162
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...
163
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...
164
DescriptionIn the first clip from this session, researcher Carolyn Maher reminded the students that they had compared the fractional numbers one half and one third. For homework they had written about their...
165
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...
166
TitleBuilding large models to show equivalence, a generalization, Clip 1 of 3: Finding the smallest model
DescriptionAt the start of the session, researcher Carolyn Maher asked the students if they remember working on comparing two thirds and three quarters. She mentioned that she had seen students build more than...
167
TitleBuilding large models to show equivalence, an exploration, Clip 1 of 4: Is there a larger model?
DescriptionDuring this session, researcher Carolyn Maher provided the students an opportunity to revisit the task that they had been introduced to during the previous session: Which is larger, two thirds or...
168
DescriptionIn the second clip, David and Meredith worked on building models to represent their solution to the problem: Which is larger, two thirds or three quarters, and by how much. David first built two...
169
DescriptionIn the fourth clip Erik repeated the explanation of his model to the classroom teacher. His model consisted of a train of three orange and one dark green rod and lined up four blue rods. He lined up...
170
DescriptionIn the third clip David, Meredith, Erik, and Alan worked to build models on the floor using rods. David built a model to test his conjecture, while Erik continued working on the thirty-six centimeter...
