ii
Copyright © 2023, 2019, 2016 Pearson Education, Inc. All Rights Reserved.
zl zl zl zl zl zl zl zl zl zl
VERIFIEDBRAINBOOSTER
,Chapter 1 Developing Confident and Competent Mathematics L zl zl zl zl zl zl zl
earners
Chapter 1 Learning Outcome Quizzes zl zl zl zl
Learning Outcome 1.1: Summarize the factors that influence the teaching of mathematics
zl zl zl zl zl zl zl zl zl zl zl
[Q1]
Many factors influence how mathematics is taught in a school system and which mathematics is covered.
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
What are some of the most influential factors?
zl zl zl zl zl zl zl
1. Research on how students learn mathematics [correct] zl zl zl zl zl zl
2. The size and wealth of the school system
zl zl zl zl zl zl zl
3. The students’ geographic location
zl zl zl
4. Teacher’s opinions of students zl zl zl
[Feedback for Correct Answer 1] zl zl zl zl
Research in mathematics education on how students learn informs how mathematics should be ta
zl zl zl zl zl zl zl zl zl zl zl zl zl
ught. Mathematics instruction is evolving and transforming through expert knowledge about how st
zl zl zl zl zl zl zl zl zl zl zl zl
udents learn and how to design effective mathematics instruction
zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 2] zl zl zl zl
The size and wealth of a school should not influence how mathematics is taught at that school.
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 3] zl zl zl zl
Geographic locations should not influence how mathematics is taught in that school.
zl zl zl zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 4] zl zl zl zl
Teacher’s opinions of students should not inform how mathematics is taught in the classroom. Tea
zl zl zl zl zl zl zl zl zl zl zl zl zl zl
chers should be using data and assessments to inform how their students are taught.
zl zl zl zl zl zl zl zl zl zl zl zl zl
[Q2]
Which of the following would be a strengths-based approach comment to a student?
zl zl zl zl zl zl zl zl zl zl zl zl
1. The problems we are doing today are easy.
zl zl zl zl zl zl zl
2. You picked up that concept really quickly. [correct]
zl zl zl zl zl zl zl
3. I think you need more practice with adding.
zl zl zl zl zl zl zl
4. You can try harder next time with the task.
zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 1] zl zl zl zl
While you may think this statement might set students up for success, if students struggle with the “
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
easy” problems they may feel worse about themselves.
zl zl zl zl zl zl zl
1
Copyright © 2023, 2019, 2016 Pearson Education, Inc. All Rights Reserved. zl zl zl zl zl zl zl zl zl zl
VERIFIEDBRAINBOOSTER
,[Feedback for Correct Answer 2] zl zl zl zl
This is an asset- z l z l z l
based statement as it focuses on the strengths of the student, they got a concept, rather than fo
z l z l z l z l z l z l z l z l z l z l z l z l z l zl zl zl zl
cusing on what they did not get or understand.
zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 3] zl zl zl zl
This statement could negatively affect students’ confidence in mathematics, especially if they ha
zl zl zl zl zl zl zl zl zl zl zl z l
ve been practicing with addition and are not having success.
zl zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 4] zl zl zl zl
This statement could negatively affect students’ confidence in mathematics, especially if they ha
zl zl zl zl zl zl zl zl zl zl zl z l
ve been working hard on the task and are not having success.
zl zl zl zl zl zl zl zl zl zl zl
[Q3]
Which statement describes a catalyst for change in mathematics education?
zl zl zl zl zl zl zl zl zl
1. Developing a love of math in students. zl zl zl zl zl zl
2. STEM jobs take twice as long to fill as other jobs. zl zl zl zl zl zl zl zl zl zl
3. U.S. student performance in national and international studies. [correct]
zl zl zl zl zl zl zl zl
4. Preparing students for jobs that do not currently exist. zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 1] zl zl zl zl
While we want student to develop a love of mathematics, and we should work to create spaces in o
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
ur classrooms that foster this, it is not a driving force in what changes mathematics education.
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 2] zl zl zl zl
While we want students to be successful in mathematics and pursue S TEM careers, especially as t
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
here is a need for STEM majors, it is not a major influence in mathematics education.
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
[Feedback for Correct Answer 3] zl zl zl zl
One factor in mathematics education is the public or political pressure for change in mathematics e
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
ducation due largely to information about student performance in national and international studies
zl zl zl zl zl zl zl zl zl zl zl zl
. These large-
zl zl
scale comparisons of student performance continue to make headlines, provoke public opinion, an
zl zl zl zl zl zl zl zl zl zl zl zl
d pressure legislatures to call for tougher standards backed by testing.
zl zl zl zl zl zl zl z l zl zl
[Feedback for Answer Choice 4] zl zl zl zl
We are preparing students for a global society and the jobs they take may not even exist yet, but t
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl z l zl
his is not a driving force in changing mathematics education.
zl zl zl zl zl zl zl zl zl
Learning Outcome 1.2: Describe the importance of content standards, process standards, and st
zl zl zl zl zl zl zl zl zl zl zl zl
andards of mathematical practice. zl zl zl
[Q1]
The six Principles and Standards for School Mathematics articulate high-
zl zl zl zl zl zl zl zl zl
quality mathematics education. Which of the following statements represents the equity principle?
zl zl zl zl zl zl zl zl zl zl zl
1. Mathematics instruction includes tasks that develop students’ ability to think and reason. zl zl zl zl zl zl zl zl zl zl zl
2
Copyright © 2023, 2019, 2016 Pearson Education, Inc. All Rights Reserved. zl zl zl zl zl zl zl zl zl zl
VERIFIEDBRAINBOOSTER
, 2. The message of high expectations for all is intertwined with every other principle. [correct]
zl zl zl zl zl zl zl zl zl zl zl zl zl
3. Calculators and computers should be seen as essential tools for doing and le z l z l z l z l z l z l z l z l z l z l z l z l
arning mathematics. zl
4. Coherence speaks to the importance of building instruction around big ideas. zl zl zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 1] zl zl zl zl
This statement represents the teaching and learning principle.
zl zl zl zl zl zl zl
[Feedback for Correct Answer 2] zl zl zl zl
The equity principle is embedded in all of the other standards, as expectations for all students must
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
be high in order to address the other components.
zl zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 3] zl zl zl zl
This statement represents the tools and technology principle.
zl zl zl zl zl zl zl
[Feedback for Answer Choice 4] zl zl zl zl
This statement represents the curriculum principle.
zl zl zl zl zl
[Q2]
Which of the six guiding principles from NCTMs Principles to Action includes classroom actions ar
zl zl zl zl zl zl zl zl zl zl zl zl zl zl
ound building collaborations that will enhance the performance of the students in the school, taking
zl zl zl zl zl zl zl zl zl zl zl zl zl zl
advantage of all coaching, mentoring, and professional development opportunities and structuring
zl zl zl zl zl zl zl zl zl zl zl
time to reflect on and analyze your instructional practices?
zl zl zl zl zl zl zl zl zl
1. Assessment
2. Tools and technology zl zl
3. Teaching and learning zl zl
4. Professionalism [correct] zl
[Feedback for Answer Choice 1] zl zl zl zl
The assessment principle includes ideas about assessment including incorporating a continuous
zl zl zl zl zl zl zl zl zl z l zl
assessment plan to follow how students are performing and how instruction can be modified and th
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
ereby improved. zl
[Feedback for Answer Choice 2] zl zl zl zl
The tools and technology principle includes ideas around tools and technology including thinking
zl zl zl zl zl zl zl zl zl zl zl z l zl
beyond computation when considering the integration of technology.
zl zl zl zl zl zl zl
[Feedback for Answer Choice 3] zl zl zl zl
The teaching and learning principle includes ideas around teaching and learning and includes idea
zl zl zl zl zl zl zl zl zl zl zl zl zl
s such as using meaningful instructional tasks that develop reasoning, sense making, and problem
zl zl zl zl zl zl zl zl zl zl zl zl zl
-
solving strategies and presenting and encouraging a variety of mathematical representations that
zl zl zl zl zl zl zl zl zl zl zl zl
connect the same ideas or concepts. zl zl zl zl zl
[Feedback for Correct Answer 4] zl zl zl zl
This is the professionalism principle that includes ideas on how to be a professional in education thr
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
oughout your career. zl zl
3
Copyright © 2023, 2019, 2016 Pearson Education, Inc. All Rights Reserved.zl zl zl zl zl zl zl zl zl zl
VERIFIEDBRAINBOOSTER
Copyright © 2023, 2019, 2016 Pearson Education, Inc. All Rights Reserved.
zl zl zl zl zl zl zl zl zl zl
VERIFIEDBRAINBOOSTER
,Chapter 1 Developing Confident and Competent Mathematics L zl zl zl zl zl zl zl
earners
Chapter 1 Learning Outcome Quizzes zl zl zl zl
Learning Outcome 1.1: Summarize the factors that influence the teaching of mathematics
zl zl zl zl zl zl zl zl zl zl zl
[Q1]
Many factors influence how mathematics is taught in a school system and which mathematics is covered.
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
What are some of the most influential factors?
zl zl zl zl zl zl zl
1. Research on how students learn mathematics [correct] zl zl zl zl zl zl
2. The size and wealth of the school system
zl zl zl zl zl zl zl
3. The students’ geographic location
zl zl zl
4. Teacher’s opinions of students zl zl zl
[Feedback for Correct Answer 1] zl zl zl zl
Research in mathematics education on how students learn informs how mathematics should be ta
zl zl zl zl zl zl zl zl zl zl zl zl zl
ught. Mathematics instruction is evolving and transforming through expert knowledge about how st
zl zl zl zl zl zl zl zl zl zl zl zl
udents learn and how to design effective mathematics instruction
zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 2] zl zl zl zl
The size and wealth of a school should not influence how mathematics is taught at that school.
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 3] zl zl zl zl
Geographic locations should not influence how mathematics is taught in that school.
zl zl zl zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 4] zl zl zl zl
Teacher’s opinions of students should not inform how mathematics is taught in the classroom. Tea
zl zl zl zl zl zl zl zl zl zl zl zl zl zl
chers should be using data and assessments to inform how their students are taught.
zl zl zl zl zl zl zl zl zl zl zl zl zl
[Q2]
Which of the following would be a strengths-based approach comment to a student?
zl zl zl zl zl zl zl zl zl zl zl zl
1. The problems we are doing today are easy.
zl zl zl zl zl zl zl
2. You picked up that concept really quickly. [correct]
zl zl zl zl zl zl zl
3. I think you need more practice with adding.
zl zl zl zl zl zl zl
4. You can try harder next time with the task.
zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 1] zl zl zl zl
While you may think this statement might set students up for success, if students struggle with the “
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
easy” problems they may feel worse about themselves.
zl zl zl zl zl zl zl
1
Copyright © 2023, 2019, 2016 Pearson Education, Inc. All Rights Reserved. zl zl zl zl zl zl zl zl zl zl
VERIFIEDBRAINBOOSTER
,[Feedback for Correct Answer 2] zl zl zl zl
This is an asset- z l z l z l
based statement as it focuses on the strengths of the student, they got a concept, rather than fo
z l z l z l z l z l z l z l z l z l z l z l z l z l zl zl zl zl
cusing on what they did not get or understand.
zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 3] zl zl zl zl
This statement could negatively affect students’ confidence in mathematics, especially if they ha
zl zl zl zl zl zl zl zl zl zl zl z l
ve been practicing with addition and are not having success.
zl zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 4] zl zl zl zl
This statement could negatively affect students’ confidence in mathematics, especially if they ha
zl zl zl zl zl zl zl zl zl zl zl z l
ve been working hard on the task and are not having success.
zl zl zl zl zl zl zl zl zl zl zl
[Q3]
Which statement describes a catalyst for change in mathematics education?
zl zl zl zl zl zl zl zl zl
1. Developing a love of math in students. zl zl zl zl zl zl
2. STEM jobs take twice as long to fill as other jobs. zl zl zl zl zl zl zl zl zl zl
3. U.S. student performance in national and international studies. [correct]
zl zl zl zl zl zl zl zl
4. Preparing students for jobs that do not currently exist. zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 1] zl zl zl zl
While we want student to develop a love of mathematics, and we should work to create spaces in o
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
ur classrooms that foster this, it is not a driving force in what changes mathematics education.
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 2] zl zl zl zl
While we want students to be successful in mathematics and pursue S TEM careers, especially as t
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
here is a need for STEM majors, it is not a major influence in mathematics education.
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
[Feedback for Correct Answer 3] zl zl zl zl
One factor in mathematics education is the public or political pressure for change in mathematics e
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
ducation due largely to information about student performance in national and international studies
zl zl zl zl zl zl zl zl zl zl zl zl
. These large-
zl zl
scale comparisons of student performance continue to make headlines, provoke public opinion, an
zl zl zl zl zl zl zl zl zl zl zl zl
d pressure legislatures to call for tougher standards backed by testing.
zl zl zl zl zl zl zl z l zl zl
[Feedback for Answer Choice 4] zl zl zl zl
We are preparing students for a global society and the jobs they take may not even exist yet, but t
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl z l zl
his is not a driving force in changing mathematics education.
zl zl zl zl zl zl zl zl zl
Learning Outcome 1.2: Describe the importance of content standards, process standards, and st
zl zl zl zl zl zl zl zl zl zl zl zl
andards of mathematical practice. zl zl zl
[Q1]
The six Principles and Standards for School Mathematics articulate high-
zl zl zl zl zl zl zl zl zl
quality mathematics education. Which of the following statements represents the equity principle?
zl zl zl zl zl zl zl zl zl zl zl
1. Mathematics instruction includes tasks that develop students’ ability to think and reason. zl zl zl zl zl zl zl zl zl zl zl
2
Copyright © 2023, 2019, 2016 Pearson Education, Inc. All Rights Reserved. zl zl zl zl zl zl zl zl zl zl
VERIFIEDBRAINBOOSTER
, 2. The message of high expectations for all is intertwined with every other principle. [correct]
zl zl zl zl zl zl zl zl zl zl zl zl zl
3. Calculators and computers should be seen as essential tools for doing and le z l z l z l z l z l z l z l z l z l z l z l z l
arning mathematics. zl
4. Coherence speaks to the importance of building instruction around big ideas. zl zl zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 1] zl zl zl zl
This statement represents the teaching and learning principle.
zl zl zl zl zl zl zl
[Feedback for Correct Answer 2] zl zl zl zl
The equity principle is embedded in all of the other standards, as expectations for all students must
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
be high in order to address the other components.
zl zl zl zl zl zl zl zl zl
[Feedback for Answer Choice 3] zl zl zl zl
This statement represents the tools and technology principle.
zl zl zl zl zl zl zl
[Feedback for Answer Choice 4] zl zl zl zl
This statement represents the curriculum principle.
zl zl zl zl zl
[Q2]
Which of the six guiding principles from NCTMs Principles to Action includes classroom actions ar
zl zl zl zl zl zl zl zl zl zl zl zl zl zl
ound building collaborations that will enhance the performance of the students in the school, taking
zl zl zl zl zl zl zl zl zl zl zl zl zl zl
advantage of all coaching, mentoring, and professional development opportunities and structuring
zl zl zl zl zl zl zl zl zl zl zl
time to reflect on and analyze your instructional practices?
zl zl zl zl zl zl zl zl zl
1. Assessment
2. Tools and technology zl zl
3. Teaching and learning zl zl
4. Professionalism [correct] zl
[Feedback for Answer Choice 1] zl zl zl zl
The assessment principle includes ideas about assessment including incorporating a continuous
zl zl zl zl zl zl zl zl zl z l zl
assessment plan to follow how students are performing and how instruction can be modified and th
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
ereby improved. zl
[Feedback for Answer Choice 2] zl zl zl zl
The tools and technology principle includes ideas around tools and technology including thinking
zl zl zl zl zl zl zl zl zl zl zl z l zl
beyond computation when considering the integration of technology.
zl zl zl zl zl zl zl
[Feedback for Answer Choice 3] zl zl zl zl
The teaching and learning principle includes ideas around teaching and learning and includes idea
zl zl zl zl zl zl zl zl zl zl zl zl zl
s such as using meaningful instructional tasks that develop reasoning, sense making, and problem
zl zl zl zl zl zl zl zl zl zl zl zl zl
-
solving strategies and presenting and encouraging a variety of mathematical representations that
zl zl zl zl zl zl zl zl zl zl zl zl
connect the same ideas or concepts. zl zl zl zl zl
[Feedback for Correct Answer 4] zl zl zl zl
This is the professionalism principle that includes ideas on how to be a professional in education thr
zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl zl
oughout your career. zl zl
3
Copyright © 2023, 2019, 2016 Pearson Education, Inc. All Rights Reserved.zl zl zl zl zl zl zl zl zl zl
VERIFIEDBRAINBOOSTER
