DescriptionThis is the second of seven clips from the night session. In it, Jeff, Michael, and Romina, along with Ankur (who has just arrived), use the analogy they call “people on a line” to investigate...
DescriptionThis is the third of seven clips from the night session. The four students (Ankur, Jeff, Michael, and Romina) investigate the reason for dividing n! by (n-x)! and x! when calculating “n choose...
DescriptionThis was an interview following the second session that 6th grade students from the Plainfield, NJ district explored probability by playing dice games in an after-school enrichment program. In this...
DescriptionResearchers Carolyn Maher and John Francisco conduct a group interview with Romina and Jeff as second-year college students who have been participants in a long-term study on development of...
DescriptionIn clip 4 of 5, fifth grade student Matt shares his understanding of Milin’s inductive argument with Robert and Michelle R. who, up to this point, found twelve, four-tall towers. Stephanie...
DescriptionIn the last of three clips in a first grade classroom, Jeff, Milin and Jamie begin by reading problem 4. Jeff, without referring to the stones or cubes, immediately states that Grandpa would have six...
DescriptionIn the first of three clips in a first grade classroom, teacher Angela Marinaro introduces the day's activity and distributes a packet of problems to each child. She first asks the students to...
DescriptionIn the first of nine clips in a first grade classroom, Teacher Angela Marinaro introduces the day's activity and distributes a packet of problems to each child. She asks the students to identify the...
DescriptionIn the second of three clips in a first grade classroom, Jeff, Milin and Jamie begin by reading problem 2. Jeff and Milin use Unifix cubes and Jamie counts out stones to model the problem. The two...
DescriptionIn the final clip of the series of nine in a first grade classroom, four children: Stephanie, Gerardo, Sean and Aaron, explain their reasoning about problems 4 of a set of 6 problems to their teacher,...