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...
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...
DescriptionThis video comes from The Private Universe Project in Mathematics and includes excerpts from interviews as well as narrative voice-over, interspersed with footage of students engaged with problem...
DescriptionIn this clip, researcher Alice Alston leads a discussion about how many towers could be built three cubes high when selecting from two colors. In the previous clip, the students had discussed their...
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...
DescriptionIn the second of five clips, the four twelfth grade students employ various strategies to determine the number of shortest paths to the remaining two points, B and C, on the problem grid. Various...
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 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...
DescriptionIn this edited video, the first of a set of two clips developed for the Private Universe Project in Mathematics, 12 fifth grade students during two consecutive classroom sessions work in two groups,...