Math Methods 331 Midterm Exam

The Standards for Mathematical Practice are:

• A component of the Common Core State Standards that outlines a series of important mathematical processes all students should be able to do regularly.

• Important for students to be able to do, but are not actually a part of the Common Core State Standards.

• A set of basic computation skills that students should have to enhance their problem-solving ability.

• A series of common summative assessments to help teachers better understand their students' individual needs.

Which statement below captures the big idea from one of the Six Guiding Principles outlined in the NCTM Principles to Action?

• Assessments that include ongoing observation and student interaction.

• Learning mathematics with understanding is essential.

• Look for both horizontal and vertical alignment to build coherence.

• Problem solving will target student learning gaps.

Your teaching of mathematics is controlled by what factor below?

• Behaviorism theory.

• Personal theory and beliefs.

• Cognitivism and constructivism.

• Sociocultural theory.

Making connections among mathematical relationships improves student conceptual understanding. What statement is a tenet of this belief?

• Teacher requires a single strategy solution.

• Teacher does not want students to struggle in mathematics.

• Teacher provides solutions when students make errors.

• Teacher scaffolds new content through the use of tools and peer assistance.

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

• Are focused on producing correct answers.

• Varying degrees of challenge and methods to approach a solution.

• Are best done independently to address diverse learning styles.

• Varying levels of written explanation are required.

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"?

• Relevant context.

• Problematic task.

• Requires tools and models to represent mathematics.

• Mathematically interesting.

What is the most critical aspect of the After phase of the lesson?

• Potential to engage students in problem solving.

• Prepare for the assessment.

• Make sure all students are participating.

• Make the main ideas of the lesson visible to others through drawings, notations, and writing.

Three of the statements below are characteristics of formative assessment. What statement would be true of summative assessment?

• Identify where learners are.

• Identify the goal for learners.

• Identify a path for reaching the goal.

• Identify the mastery of standards.

There are research proven strategies that can support students in tier 2. Identify the targeted instruction below that models the strategy, uses self-instructive prompts for student to use through the model.

• Concrete, Semi-Concrete, Abstract.

• Think-Alouds.

• Peer-Assisted Learning.

• Explicit Instruction.

The National Research Council identified three foundational areas in mathematics content for early learners. Identify the core that is more applicable for experienced learners.

• Operations core.

• Relations' core.

• Number core.

• Reasoning core