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Chapter 4: Planning in the Problem-Based Classroom
ESSAY. Write your answer in the space provided or on a separate sheet of paper.
1) Describe 4 of the steps in the process of planning for the problem-based classroom.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or
answers the question.
2) When determining the mathematics content and learning goals for a lesson, the teacher should do all of the
following EXCEPT
a) Consult his or her state’s curriculum standards
b) Ask, “What is it my students should be able to do at the end of this lesson?”
c) Plan goals that will take no longer than a day for students to accomplish
d) Be sure to focus on the mathematics, rather than just the activity
3) Which of the following is a true statement about assessment?
a) It is a good idea to stick to one assessment format that works best for you and your students.
b) It should be derived from your learning goals.
c) It should only be done after instruction over a topic has been completed, in order to judge its
effectiveness.
d) It should not be developed until after the lesson, once the teacher has had a chance to see how
students performed.
4) A completed lesson plan frequently has all of the following components EXCEPT
a) Accommodations and/or modifications for certain students
b) Materials required
c) Local mathematics standards
d) Disciplinary procedures
TRUE/FALSE. Write “T” if the statement is true and “F” if the statement is false.
5) The three-phase lesson plan model cannot be applied to activities that last any less than an entire class.
6) More traditional textbooks are virtually useless in a problem-based classroom.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or
answers the question.
7) A problem-based classroom is well suited to meeting the needs of a diverse group of learners because
a) Students can make sense of mathematics in the potentially unique ways that work best for them.
b) Students who struggle can be given lower-level tasks while the rest of the class is engaged in more
high-level problem-solving activities.
c) The format allows students to consistently be grouped with other students who share their
strengths and needs.
d) Students who are gifted can have their needs met by being given a larger number of tasks without
overwhelming the other students.
SHORT ANSWER. Write the word or phrase that best completes each statement or
answers the question.
8) The term ___________________________________ means that the size and makeup of small groups vary
according to their purpose.
9) The ______________________________________technique encourages individual accountability within
groups, because each group member takes on the role of being an expert on a topic and reporting their
expertise back to their home group.
ESSAY. Write your answer in the space provided or on a separate sheet of paper.
10) Describe at least four different ways a teacher could provide support and challenge to meet any special
student needs.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or
answers the question.
11) Aspects of drill can include which of the following?
a) Increased fluency with procedures that have not yet been taught conceptually
b) A quick method to review facts or procedures that have already been learned
c) Increased conceptual understanding of procedures
d) Exposure to multiple methods of solving problems
12) Parental involvement in students’ mathematical development
a) Can be positive when parents provide their children with a quiet workplace and rules about
homework completion.
b) Can be positive when parents make derogatory comments about their own math skills and
negative feelings about mathematics.
c) Can have a negative impact when teachers help parents understand the ways they can support their
students’ achievement.
d) Has little positive or negative effect, regardless of the circumstances.
