DescriptionThe session began with a whole class discussion about the problems that the students had worked on the day before. Afterwards, the students worked with their partners on two series of tasks. These...
DescriptionDuring this session, conducted as a whole class discussion, Researcher Maher revisited the problem that the students had worked on during the previous three sessions: Which is larger, two thirds or...
DescriptionDuring this session, conducted as a whole class discussion, Researcher Maher revisited the problem that the students had worked on during the previous three sessions: Which is larger, two thirds or...
DescriptionDuring this session, conducted as a whole class discussion, Researcher Maher revisited the problem that the students had worked on during the previous three sessions: Which is larger, two thirds or...
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...
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...
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...
DescriptionIn the third clip researcher Carolyn Maher stated that similarly to the number line going on and on forever, so does the numbers in between zero and one. The students then explored dividing the line...
DescriptionIn the fourth of five clips, the four twelfth grade students explain their conjecture that Pascal's Triangle can be used to predict the number of paths to any point in the Taxicab grid to Carolyn...
DescriptionIn the third of five clips, the four twelfth grade students attempt to justify for themselves and then demonstrate the relationship that they have conjectured between the Taxicab problem and Pascal's...