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Chapter 4
Practice Test
Practice Test
Teaching through Problem Solving
This activity contains 11 questions.
Traditional problem solving lessons had a teacher explaining the math, students practicing the math followed by applying the mathematics to solving problems. Yet this rarely works because...
it begins where the students are
problem solving is too wrapped up in the lesson
students do not have enough time to practice in advance
it assumes wonderful explanations produces understanding
A mathematical problem has which of the following features
it begins where the teacher feels comfortable
it is engaging mathematically
it can be explained easily
it requires a single, obtainable answer
Establishing expectations in the problem solving process includes
showing only the significant solution methods
estimations and mental calculations of the solution
making sure the task is understood
Specific instructions on explaining their solutions
The four steps in evaluating and selecting a problem solving activity include determining
the solution method that the teacher would use
the needed materials and how the activity can be completed
the teacher's and student's responsibilities
the activity's implications on student behavior
All of the following are types of information that math teachers should provide their students EXCEPT
Mathematical conventions
Clarification of students' methods
Alternative methods
The preferred method
In the final portion of the problem solving lesson, the students learn to engage in discourse and work as a community of learners.
True
False
Traditional textbook publishers have put much thought into the problem-oriented content and therefore remain as your primary resource for problem solving lessons.
True
False
Drill is appropriate when the concept has been meaningfully developed and the focus is on speed and accuracy.
True
False
Your textbook recommends structuring a lesson as explain-then-practice rather than before, during, after.
True
False
It is okay for teachers to give limited hints while students are working on a problem.
True
False
Attitudes about problem solving can affect student learning. Give two ideas for improving student attitudes about problem solving.
To create paragraphs in your essay response, type <p> at the beginning of the paragraph, and </p> at the end.
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