DescriptionIn this clip researcher Carolyn Maher asked Graham what his argument would be for why two fourths could be labeled one half. He replied that one half plus one half would equal a whole and that two...
DescriptionIn the second of five clips from this classroom session, Alan worked alone at his desk on a new task that the researcher, Amy Martino, had posed. He built models to find the difference between one...
DescriptionIn the fourth of five clips from this classroom session, the researcher, Amy Martino, returned to Alan and questioned him about the third model that he had built for finding the difference between one...
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...
DescriptionIn the fourth clip researcher Carolyn Maher asked the students to each come up and take a turn placing some fractions on the number line. She called on Gregory to come up first. He placed a one half...
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...
DescriptionIn the second clip, researcher Carolyn Maher asked the students to build a model to show which is bigger, two thirds or one half, and by how much. The students worked with their partners to solve the...
DescriptionIn the seventh clip, Erik and Alan worked to extend their model using the orange and red train to show fourths and halves. They concluded that three fourths was larger than two thirds by one twelfth....
DescriptionIn the fourth clip, researcher Alice Alston worked with Gregory and Danielle on the task: Which is larger two thirds or one half and by how much? Danielle built two models, one using the dark green...
DescriptionIn the third clip, Alan and Erik worked together on the task: Which is larger two thirds or one half and by how much? Alan first built a model using the dark green rod as one, and the two concluded...