67. Which of the following would be the most likely explanation Piaget would offer for the students’ difficulty?
a.The students are not yet chronologically at the age of formal operations, and this is a formal operational task.
b.The students’ maturation isn’t to the point where they are ready to handle this topic.
c.The students lack the ability to understand topics as sophisticated as Mrs. Green is trying to teach.
d.The students lack the concrete experiences needed to understand the ideas involved.
68. According to Piaget, which of the following would be the best solution to Mrs. Green’s problem?
a.Describe the process of the change in molecular motion between a liquid and solid in more detail, so they see the difference.
b.As a classroom activity, have the students observe some ice cubes as they’re allowed to melt, and then describe what they see.
c.Have them carefully read the explanation in their texts and then discuss the meaning of the text description.
d.Have the students observe ice cubes as they’re allowed to melt, and show them a model illustrating the molecular motion of the substance in each state.
Use the following information for items 69-72.
A teacher brings a balance into the classroom and places it in front of the students. The balance has two blocks of different sizes on it. Block A is bigger than block B, but the balance is balanced.
The teacher then presents the students with the following quiz questions.
a. Block A is heavier than block B. T F
b. Block A is more dense than block B. T F
c.Suppose you have a fluid equal in density to block A and
another equal in density to block B. The first fluid will float
on the second fluid. T F
d.Block A takes up more space than block B. T F
Consider each of the quiz questions (a, b, c, and d), and decide at what level of development a student must be in order to answer correctly.
69. Item a:
a.preoperational
b.concrete operational
c.formal operational
70. Item b:
a.preoperational
b.concrete operational
c.formal operational
71. Item c:
a.preoperational
b. concrete operational
c.formal operational
72. Item d:
a.preoperational
b.concrete operational
c.formal operational
73. Mrs. Solomon gives each of her third graders four wooden squares (each 1″ by 1″) and a piece of poster paper. They identify the wooden pieces as squares and conclude that they’re all the same size. She has them put the squares together to form a larger square (2″ x 2″) and to draw a line around the larger square. They remove the wooden squares, and she asks them how much space the wooden pieces covered and leads them to conclude, “four squares.” She asks them what they call the space and introduces the term area. She then tells them they have an area of “four squares.” To reinforce the idea, she then asks them what the area of two blocks is and helps them to conclude, “two squares.”
Based on this information, which of the following is the best assessment of the developmental appropriateness of Mrs. Solomon’s teaching of the concept area?
a.Her instruction was developmentally inappropriate, because she shouldn’t have told them they had an area of four squares.
b.Her instruction was developmentally inappropriate, because she should have also used a wooden space to put the squares on instead of poster paper.
c.Her instruction was developmentally appropriate, because the students had concrete illustrations of both area and square.
d.Her instruction was developmentally appropriate, because she reinforced the concept through teacher direction.
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