Sample Midterm

B. Using the Videotapes of Interviews Illustrating Children's Mathematical Understandings, discuss the following (when responding to the following questions to provide a case, provide the students' grade level, name and the task, and then give specific incident within the task) (7 points per question):
  1. Identify three cases, if possible, of children having relational understanding in the videotapes and justify.

  2. Examine 3rd Grade, Dan, Blocks and 4th Grade, Art, Add. What are your observations about these two cases? Discuss.

  3. Describe three cases, if possible, where the interviewer uses scaffolding to help the student solve the problem at hand.

  4. Do you feel that these students have come from a "rule based" curriculum or a "model based/problem-solving" curriculum? Discuss with specific incidences.

  5. Identify and describe three cases above, if available, where the students seemed to be using dynamic imagery and describe nonverbal cues that suggest such.

  6. Describe the potential evolution of a content strand, e.g., division concepts, from K through 5th grade. Identify and describe levels of understanding.

  7. Select a grade level and describe the range of understandings within that grade.