18
DescriptionThis is the last of seven clips from the night session. The students (Ankur, Jeff, Michael, and Romina) explain to Brian, a late-comer, the meaning of Pascal’s Identity (the addition rule for...
19
TitleNight session, Pascal's identity, clip 1 of 7: thinking about the meaning of combinatorics notation
DescriptionThis is the first of seven clips from the night session. In it, Jeff, Michael, and Romina discuss the coefficients of the binomial expansion, specifically (a+b) to the 10th power. In attempting to...
20
DescriptionThis is the sixth of seven clips from the night session. After Jeff draws Pascal’s Triangle in what the students call “choose” notation, the researcher asks the students to express an instance...
21
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...
22
DescriptionIn the first of five clips, four twelfth grade students develop their initial strategies for approaching the Taxicab Problem. They determine the shortest distances to the three given points: A, B and...
23
DescriptionIn the fifth of five clips, Romina, Brian and Michael, describe patterns and relationships identified in their solution to the Taxicab problem to Arthur Powell, a second researcher. The students...
24
Date Created2014-04-26
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...
25
Date Created2014-04-26
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...
26
Date Created1990-10-11
DescriptionAfter the students have worked on the Towers Problem in the Towers series, researcher Alice Alston facilitates a group sharing session. She begins by asking how many towers the students have found and...
27
Date Created2014-03-15
DescriptionAt an after-school session in the middle of their junior year, Ankur, Brian, Jeff, Michael, and Romina were introduced to the World Series problem [the problem statement is below]. The students...
