Exam 3: Teaching Through Problem Solving

Teaching through problem solving provides opportunities for all students to become mathematically proficient.Teaching through problem solving benefits all students in what way?

Drill of skills has a place in helping students improve procedural knowledge but not conceptual knowledge.Before committing to a solution of "just drill" what do you need to know?

Which is the most accurate statement regarding posing a worthwhile problem?

Facilitating classroom discourse requires that the teacher be aware of what factors that will affect the level of mathematical talk in the classroom.What statement below would impact the mathematical talk?

Selecting problem solving tasks that require higher levels of cognitive demand should include which one of the following?

Problem solving tasks that have multiple entry and exit points exhibit what characteristics below?

Drill and practice is present to some degree in every classroom.The definitions of drill and practice demonstrate how they are different and how they link.One of the statements below is representative of practice more than drill.

Which of the following is an instructional example of teaching through problem solving?

Researchers have found that teachers' benefit from using an intentional selection process to determine whether a task they chose is worthwhile.One of the criteria of the selection guide is "worthwhile features".Which statement below represents one of the categories in "worthwhile features"?

Effective use of classroom discussion has the teacher monitoring the students' strategies and asking questions.What question below would require the student to reflect on their specific strategy?

Teachers can prompt productive classroom discussion through the use of five teacher talk actions.What statement below reflects the type of prompt to elicit student reasoning?

Asking effective questions requires planning and teachers become more adept at asking quality questions throughout their careers.What common pattern of questioning fosters a greater chance of classroom discussion?

Children's literature can be a method of creating tasks with context students can connect to other subjects.What statement below demonstrates how a teacher made a connection?

How much to tell or not tell is a constant dilemma for teachers.What statement would be the type of information that teachers do need to tell?

Which statement about the teaching through problem solving approach is most accurate?

Problem solving provides opportunities for students to demonstrate mathematical proficiency.Identify two ways that teaching through problem solving works for all students.

Which statement best reflects the approach of teaching for problem solving?

Which statement below best represents worthwhile features of tasks or problems for learning mathematics?

The act of writing is a reflective process and involves students in metacognition? What statement is an example of a students' conscious monitoring of how and why they are doing something?