Math Methods Ch. 3

1. What are two short-comings of a teach-by-telling approach?

• The approach assumes that all students have the same background knowledge.

• It increases the likelihood a student will attempt a novel problem with explicit instructions.

• The approach empowers students who naturally want to try it their own way.

• It communicates that there is only one way to solve a problem.

1. Mathematical problem solving is found in ___________.

• communicating

• evaluating

• curiosity

• reasoning

What are 3 examples of the problem solving strategies mentioned in this chapter?

• Write an equation.

• Re-read the question.

• Devise a plan.

• Formulate conjectures.

Which description defines the teaching through problem solving approach?

• Math skills are mastered by consistent feedback.

• Mathematical understanding is gained only by frequent practice.

• Solving problems is the only way for students to engage in math.

• Students learn mathematics through inquiry and exploration.

What are benefits of the 8 mathematical teaching practices that support student learning?

• Invites creativity.

• Provides formative assessment data.

• Builds on students' strengths.

• Engages students.