DescriptionThis is a raw footage video. On February 26, 1993 fifth graders, Stephanie, Michelle, Milin and their classmates, worked on the Guess My Tower task in a class session, about a year after the “Gang of Four” group assessment. In this session Stephanie was partnered with Matt and Michelle was partnered with Milin. In the Guess My Towers (GMT) task, students had to work with towers three-tall for the first part and towers four-tall for the second part. This task is a variation of a Towers tasks. Maher and Martino (1993) and Sran (2010) found evidence of the durability of the children’s reasoning in the fourth grade after multiple opportunities to present their reasoning about the Towers problem. Sran (2010) also found evidence of the durability of the inductive argument in the fifth grade for Milin. His idea became a focal learning point to other students during this fifth-grade session. Stephanie and Matt were working together and were attempting to find all possible towers three and four cubes tall when selecting from two colors as the sample space for Question 1 and 2 of the Guess My Towers problem, respectively. Stephanie conjectured a doubling rule that she used to recall the solutions of the four-tall towers problem, after finding the total of three-tall towers. In order to test Stephanie's conjecture that as the height of the towers increases by one cube the total number of towers doubles, Matt and Stephanie construct towers that are one, two and three cubes tall and then attempt to find and build 16 towers four cubes tall.
“You have been invited to participate in a TV Quiz Show and have the opportunity to win a vacation to Disneyworld. The game is played by choosing one of the four possibilities for winning and then picking a tower out of a covered box. If the tower matches your choice, you win. You are told that the box contains all possible towers three tall that can be built when you select from cubes of two colors, red and yellow. You are given the following possibilities for a winning tower: a. All cubes are exactly the same color; b. There is only one red cube; c. Exactly two cubes are red; d. At least two cubes are yellow. Question 1.Which choice would you make and why would this choice be any better than any of the others? Question 2. Assuming you won, you can play again for the Grand Prize which means you can take a friend to Disneyworld. But now your box has all possible towers that are four tall (built by selecting from the two colors, yellow and red). You are to select from the same four possibilities for a winning tower. Which choice would you make this time and why would this choice be better than any of the others?"
RightsThe video is protected by copyright. It is available for reviewing and use within the Video Mosaic Collaborative (VMC) portal. Please contact the Robert B. Davis Institute for Learning (RBDIL) for further information about the use of this video.
Local IdentifierB78-19930226-KNWH-MATT AND STEPHANIE-GMT-GRD 5-CMB-RAW