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 this final clip, an exuberant Stephanie presents her understanding of the “doubling rule” to the group of students ( Matt, Michelle I, Michelle R, Milin and Robert) who assembled around a...
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...
DescriptionIn the 2nd of 5 clips, Stephanie and Matt, two fifth grade students are attempting to find all possible towers four cubes tall when selecting from two colors as the sample space for Question 2 of the...
DescriptionAmy Martino leads a whole class discussion during which they talk about ways of writing number sentences for two problems: 1) How many one sixths are in one? and 2) How many one twelfths are in one?...
DescriptionIn the first of three clips from a single class session, the researcher asks the 4th grade students to explain the mathematical task of the previous day when each of the three small groups within the...
DescriptionMeredith works with her partner, Michael, as they attempt to write a number sentence that describes how many one sixths are in one. After some discussion with Michael and Amy Martino about the correct...
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...
DescriptionThis video comes from an interview conducted by researcher Carolyn Maher with Romina as an 11th grader and participant of a long-term study on development of mathematical thinking and reasoning in...
DescriptionIn this one hour and forty minute unedited video, the fourth grade class was divided into pairs to work on a Towers problem on February 6, 1992. At the beginning of the session, there are two sheets...