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...
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 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...
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...
DescriptionThe small group interview with 4 students (Jeff, Michelle, Milin, and Stephanie) lasted about an hour and occurred after the students worked in the classroom on building towers of height five...
DescriptionThe small group interview with 4 students (Jeff, Michelle, Milin, and Stephanie) lasted about an hour and occurred after the students worked in the classroom on building towers of height five...
DescriptionIn this clip, researcher Amy Martino introduces the following problem to the students: “How many different towers four blocks tall can you build when selecting from two colors?” Dana and Stephanie...
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 clip three of five, Milin, a fifth grade student, shares his inductive argument for building towers up to 3 cubes tall with researcher Carolyn Maher and his partner, Michelle I. Michelle in turn...
DescriptionIn the first of five clips, Milin and Michelle I, two fifth grade students are attempting to find all possible towers three cubes tall when selecting from two colors as the sample space for Question 1...