Math Methods

An effective teacher of mathematics cultivates which of the following dispositions?

• Knowledge of mathematics

• Readiness for change

• Willingness to be a team player

• All of the above

Which of the following describes what it means to "do" mathematics?

• Generating strategies for problem solving and applying them

• Demonstrating mathematical practices

• Both a and b

• None of these

Students must be mathematically proficient in both conceptual understanding and procedural fluency.

• True

• False

Sociocultural theory says that students use the ideas they already have to construct a new idea.

• True

• False

Strategies for problem solving include which of the following? Choose all that apply.

• Visualizing

• Simplify the problem

• Summarizing

• Look for patterns

Which is the correct order for Polya's problem solving process?

• carry out the plan, look back, understand the problem, devise a plan

• look back, understand the problem, carry out the plan, devise a plan

• understand the problem, devise a plan, carry out the plan, look back

• devise a plan, carry out the plan, understand the problem, look back

Worthwhile tasks must have the following characteristics. Check all that apply.

• One right answer

• High cognitive demand

• Multiple entry and exit points

• Relevant context

One benefit of classroom conversations is that students see the varied approaches in how mathematics can be solved.

• True

• False

Classroom discourse is limited to oral language only. There is no need for written language in the math classroom.

• True

• False

Providing scaffolded support occurs during which phase of a mathematics lesson?

• Before phase

• During phase

• After phase

• Extension phase