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