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TEST BANK
Chapter 1: Teaching Mathematics in the 21st Century
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or
answers the question.
1) Which choice reflects two factors that influence the teaching of Mathematics effectively?
A) Manipulatives and an overhead projector.
B) Knowledge of standards and practices.
C) Internet sites and computer software.
D) Student records and interviews with experienced teachers.
2) The mathematical needs in society have changed and are influencing what should be taught in
preK-8 mathematics classrooms. What statement below reflects a key factor in the change?
A) Teacher accountability through increased use of standardized assessments.
B) International perspective with ideas on how and what to teach.
C) Data on the performance of U.S. students in national and international studies.
D) Research on how students learn mathematics.
3) The National Assessment of Educational Progress
A) Consists of data collected by individual school districts so they may assess their teachers.
B) Reported in 2013 that less than half of all fourth– and eighth-graders performed on a
standardized mathematics test at the desirable levels of “proficient” or “advanced.”
C) Showed dramatic decreases in U.S. mathematics scores over the last 30 years.
D) Produced results in 2009 that indicated U.S. students would likely reach the goal required by
No Child Left Behind legislation that all students perform at or above a proficient level by 2014.
4) What documents does this statement describe “shared expectations for K-12 students across
states that include a focused set of mathematics contents standards and practices”?
A) Curriculum Focal Points
B) Principles and Standards for School Mathematics
C) Common Core State Standards
D) Assessment Standards for School Mathematics
5) Which of the following can be said to be true about the Teaching and learning principle?
A) Provide instructional opportunities for students to demonstrate their competence in different
ways creating tasks with easy entry points for students who struggle.
B) Think beyond computation when considering the integration of technology.
C) Develop a long-term plan for building your expertise.
D) Generate ways for students to provide evidence of their thinking through discussion,
illustrations, and written responses.
6) What statement best reflects the Connections standard of the Five Process Standards from
Principles and Standards for School Mathematics?
A) Students should be given opportunities to see how various mathematical ideas relate to one
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another and to a variety of real-life experiences.
B) Students should be able to interpret and create various symbolic representations of
mathematical ideas.
C) Students should be able to connect personally to their fellow classmates in order to fully enjoy
the learning process.
D) Students should be able to explain and justify the thought process behind their arguments.
7) One of the statements below represents a method for developing the Reasoning and proof
process standard.
A) Select meaningful mathematical tasks.
B) Give students opportunities to share ideas so others can understand.
C) Emphasize how mathematics is connected to students’ prior knowledge.
D) Create opportunities for students to evaluate conjectures.
8) The following statements represent the “thinking” behind the creation of the Common Core
Standards for School Mathematics. Which statement is also true of the NCTM Principle and
Standards for School Mathematics?
A) Represent the largest shift in mathematics content in the United States in over 100 years.
B) A focused set of Mathematics content standards and practices.
C) Provide a coherent curriculum framework for content across the school year and grades.
D) Comprised of learning progressions that can inform instruction.
9) The Standards for Mathematical Practice are
A) A component of the Common Core State Standards that outlines a series of important
mathematical processes all students should be able to do regularly.
B) Important for students to be able to do, but are not actually a part of the Common Core State
Standards.
C) A set of basic computation skills that students should have to enhance their problem-solving
ability.
D) A series of common summative assessments to help teachers better understand their students’
individual needs.
10) Which statement below captures the big idea from one of the Six Guiding Principles outlined
in the NCTM Principles to Action?
A) Assessments that include ongoing observation and student interaction.
B) Learning mathematics with understanding is essential.
C) Look for both horizontal and vertical alignment to build coherence.
D) Problem solving will target student learning gaps.
11) Identify the statement that completes this statement, “Learning progressions reflect current
A) The essential big ideas and mathematics concepts for preschool-aged children.
B) What came before as well as what to expect next.
C) Progressions which are identical for all students.
D) What the vision is for the teachers their role in developing curriculum.
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12) As a practicing or prospective teacher each face the challenge of teaching mathematics from
a problem solving perspective. This often requires some to confront personal beliefs about
A) Teaching conceptual understanding and procedural fluency.
B) Allowing all students an equal opportunity to learn.
C) How technology can enhance student understanding.
D) What is means to do mathematics
13) What are examples of effective assessment techniques that will guide your understanding of
student knowledge?
A) Meaningful instructional tasks and practice.
B) Partnership for Assessment of Readiness for College and Careers and Smarter Balanced
Assessment Consortium.
C) Feedback, on-going observation and continuous data gathering.
D) Grade-level content standards and the standards for mathematical practice.
ESSAY. Write your answer in the space provided or on a separate sheet of paper.
14) What are two ways that learning progressions can inform instructional planning?
15) What are the main tenets of the Curriculum principle in the NCTM Principles to Action?
