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Self-Assessment Answers
  1. Mr. Dunbar, in his lesson on the volume of a cylinder, asks his students to figure out how to measure volume through experimentation. What type of learning strategy is he using?
    ANSWER: c) Discovery learning. Mr. Dunbar's students are being encouraged to learn on their own in small groups, conducting experiments that permit them to discover principles for themselves.

  2. Why didn't Mr. Dunbar just tell his students that the formula for finding the volume of a cylinder is Õr2h?
    ANSWER: a) He believes that discovery learning provides for deeper understanding because students work out problems for themselves. Discovery learning also encourages critical thinking, problem solving, and cooperation, pushing students to their zones of proximal development.

  3. In which of the following examples is Mr. Dunbar demonstrating Vygotsky's "zone of proximal development" concept?
    ANSWER: c) Mr. Dunbar acknowledged the group's discovery but now pushes them to a higher level of cognitive development.

  4. Mr. Dunbar effectively uses cooperative learning strategies in his lesson on the volume of cylinders. He does all the following except
    ANSWER: b) Mr. Dunbar didn't select students for group membership by ability. Doing so would diminish the power of group processes to stretch cognition within students' zones of proximal development.

  5. Which of the following cooperative learning strategies is Mr. Dunbar using?
    ANSWER: b) Students worked together in small but heterogeneous groups on solving the assigned problem, providing a group product.

  6. Describe an example of discovery learning. What is the teacher's role in a discovery lesson? What strengths and limitations exist with discovery learning?

    QUESTION 1: Describe an example of discovery learning.

    POSSIBLE ANSWER: One example of discovery learning is learning a foreign language by immersion in the culture in which the language is spoken. Students wishing to learn Spanish, for instance, learn different grammatical rules by necessity, as daily life in Spanish-speaking countries forces students to use different tenses. Therefore, learning these tenses is facilitated by immersion.

    QUESTION 2: What is the teacher's role in a discovery lesson?

    POSSIBLE ANSWER: The teacher's role in discovery learning is scaffolding, providing appropriate clues that help organize student understand and bring students closer to understanding. An alternative approach to comprehending the teacher's role in discovery learning is the operant conditioning principle of shaping. In shaping, desired student outcomes are shaped by rewarding successive approximations of the desired outcome.

    QUESTION 3: What strengths and limitations exist with discovery learning?

    POSSIBLE ANSWER: Discovery learning helps students learn to solve problems by organizing their thought processes so that appropriation of concepts is possible. Further, discovery learning enhances metacognition by teaching students to focus on their thought processes. Finally, it is useful in the enhancement of efficacy beliefs, as students learn they can achieve cognitively.

  7. How can teachers improve students' problem-solving abilities?
    POSSIBLE ANSWER: Teachers can improve problem-solving ability by assigning discovery learning tasks and using strategies like Jigsaw, Learning Together, Group Investigation, and Cooperative Scripting, which encourage students to solve problems actively by investigating assignments cooperatively, reaching solutions, and thinking critically about solutions and revising responses as necessary.





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