MATH 391 TEST 1 | QUESTIONS AND ANSWERS | 2026
UPDATE | WITH COMPLETE SOLUTION.
Which choice reflects two factors that influence the teaching of Mathematics
effectively? Answer - Knowledge of standards and practices.
The mathematical needs in society have changed and are influencing what
should be taught in pre K-8 mathematics classrooms. What statement below
reflects a key factor in the change? Answer - Data on performance of U.S.
students in national and international studies.
The National Assessment of Educational Progress... Answer - reported in 2013
that less than half of all 4th and 8th graders performed on a standardized
mathematics test as the desirable levels of "proficient" or "advanced".
The six Principles and Standards for School Mathematics articulate high-quality
mathematics education. What statement below represents the equity
principle? Answer - The message of high expectations for all is intertwined
with every other principle.
What is true about the learning principle? Answer - Learning is strongly
enhanced when students are encouraged to make and test their own
mathematical conjectures.
What statement reflects the Connections standard of the Five Process
Standards from Principles and Standards for School Mathematics? Answer -
,Students should be given opportunities to see how various mathematical ideas
relate to one another and to a variety of real-life experiences.
One of the statements below represents a method for developing the
Reasoning and proof process standard. Answer - Create opportunities for
students to evaluate conjectures.
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? Answer - A
focused set of Mathematics content standards and practices.
The Standards for Mathematical Practice are... Answer - A component of the
Common Core State Standards that outlines a series of important
mathematical processes all students should be able to do regularly.
Which statement below captures the big idea from one of the Eight Guiding
Principles outlines in the NCTM Principles to Action? Answer - Look for both
horizontal and vertical alignment to build coherence.
Identify the statement that completes this statement, "Learning progressions
reflect current research and practice and they guide teachers in
understanding..." Answer - What came before as well as what to expect next.
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: Answer - Teaching conceptual understanding
and procedural fluency.
, What are examples of effective assessment techniques that will guide your
understanding of student knowledge? Answer - Feedback, on-going
observation and continuous data gathering.
What are two ways that learning progressions can inform instructional
planning? Answer - -informing teachers of what came before
-what to expect next as students reach key points
-identity interim goals along the path to learning mathematical concepts
-inform the order of instructional experiences
What are the main tenets of the Curriculum principle in the NCTM Principles to
Action? Answer - The tenets of the Curriculum Principle include a coherent
curriculum build around big ideas in daily classroom instruction. The big ideas
are links from one idea to another and help students see the integration and
growth over grades versus an isolated series of bits and pieces.
Which of the following is an example of a statement spoken in the language of
doing mathematics? Answer - "Explain how you solved the problem."
Which statement below best describes the idea of mathematics as engaging in
the science pattern and order? Answer - Mathematical processes and concepts
follow logical patterns and have a logical order. Students are capable of and
should be allowed to explore this regularity and make their own sense of
mathematics.
Doing mathematics begins with posing worthwhile tasks. Which verbs align
with activities that lead to higher-level thinking? Answer - Investigate,
construct, and formulate
To set up an environment for "doing" mathematics, teachers need to: Answer -
Allow students to make engage in "productive struggle".
UPDATE | WITH COMPLETE SOLUTION.
Which choice reflects two factors that influence the teaching of Mathematics
effectively? Answer - Knowledge of standards and practices.
The mathematical needs in society have changed and are influencing what
should be taught in pre K-8 mathematics classrooms. What statement below
reflects a key factor in the change? Answer - Data on performance of U.S.
students in national and international studies.
The National Assessment of Educational Progress... Answer - reported in 2013
that less than half of all 4th and 8th graders performed on a standardized
mathematics test as the desirable levels of "proficient" or "advanced".
The six Principles and Standards for School Mathematics articulate high-quality
mathematics education. What statement below represents the equity
principle? Answer - The message of high expectations for all is intertwined
with every other principle.
What is true about the learning principle? Answer - Learning is strongly
enhanced when students are encouraged to make and test their own
mathematical conjectures.
What statement reflects the Connections standard of the Five Process
Standards from Principles and Standards for School Mathematics? Answer -
,Students should be given opportunities to see how various mathematical ideas
relate to one another and to a variety of real-life experiences.
One of the statements below represents a method for developing the
Reasoning and proof process standard. Answer - Create opportunities for
students to evaluate conjectures.
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? Answer - A
focused set of Mathematics content standards and practices.
The Standards for Mathematical Practice are... Answer - A component of the
Common Core State Standards that outlines a series of important
mathematical processes all students should be able to do regularly.
Which statement below captures the big idea from one of the Eight Guiding
Principles outlines in the NCTM Principles to Action? Answer - Look for both
horizontal and vertical alignment to build coherence.
Identify the statement that completes this statement, "Learning progressions
reflect current research and practice and they guide teachers in
understanding..." Answer - What came before as well as what to expect next.
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: Answer - Teaching conceptual understanding
and procedural fluency.
, What are examples of effective assessment techniques that will guide your
understanding of student knowledge? Answer - Feedback, on-going
observation and continuous data gathering.
What are two ways that learning progressions can inform instructional
planning? Answer - -informing teachers of what came before
-what to expect next as students reach key points
-identity interim goals along the path to learning mathematical concepts
-inform the order of instructional experiences
What are the main tenets of the Curriculum principle in the NCTM Principles to
Action? Answer - The tenets of the Curriculum Principle include a coherent
curriculum build around big ideas in daily classroom instruction. The big ideas
are links from one idea to another and help students see the integration and
growth over grades versus an isolated series of bits and pieces.
Which of the following is an example of a statement spoken in the language of
doing mathematics? Answer - "Explain how you solved the problem."
Which statement below best describes the idea of mathematics as engaging in
the science pattern and order? Answer - Mathematical processes and concepts
follow logical patterns and have a logical order. Students are capable of and
should be allowed to explore this regularity and make their own sense of
mathematics.
Doing mathematics begins with posing worthwhile tasks. Which verbs align
with activities that lead to higher-level thinking? Answer - Investigate,
construct, and formulate
To set up an environment for "doing" mathematics, teachers need to: Answer -
Allow students to make engage in "productive struggle".
