Deck 1: Teaching Mathematics in the 21st Century

Question 1

Which statement below captures the big idea from one of the Eight Guiding Principles outlines 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.

Answer 1

Look for both horizontal and vertical alignment to build coherence.

Question 2

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.

Answer 2

Knowledge of standards and practices.

Question 3

Which of the following can be said to be true about the learning principle?

A)As long as students have their basic facts and procedures memorized,they do not have to understand how the mathematics works.
B)Due to technology,it is no longer necessary for students to practice computational skills.
C)Learning is strongly enhanced when students are encouraged to make and test their own mathematical conjectures.
D)To build confidence,students should be taught to focus on their own mathematical ideas and not the thinking of others.

Answer 3

Learning is strongly enhanced when students are encouraged to make and test their own mathematical conjectures.

Question 4

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 U.S 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.

Question 5

What statement best reflects the Connectionsstandard of the Five Process Standardsfrom Principles and Standards for School Mathematics?

A)Students should be given opportunities to see how various mathematical ideas relate to one 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.

Question 6

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.

Question 7

What are the main tenets of the Curriculum principle in the NCTM Principles to Action?

Question 8

Identify the statement that completes this statement,"Learning progressions reflect current research and practice and they guide teachers in understanding…"

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 that are identical for all students.
D)What the vision is for the teachers their role in developing curriculum.

Question 9

The six Principles and Standards for School Mathematics articulate high-quality mathematics education.What statement below represents the equity principle?

A)Mathematics today requires not only computation skills,but also the ability to think and reason.
B)Calculators and computers should be seen as essential tools for doing and learning mathematics.
C)Coherence speaks to the importance of building instruction around big ideas.
D)The message of high expectations for all is intertwined with every other principle.

Question 10

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.

Question 11

The Standards for Mathematical Practiceare

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.

Question 12

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.

Question 13

What are two ways that learning progressions can inform instructional planning?

Question 14

What are examples of effective assessmenttechniques that will guide your understanding ofstudent 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.

Question 15

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