Deck 12: Managing a Mathematics Classroom

Question 1

According to the author in Chapter 12, which of the following is the best approach forattaining success in the mathematics classroom?

A)Seek out a position in a school that represents an "ideal world."
B)Refer to NCTM documents for prescriptions for successful teaching.
C)Continue to use strategies that have worked in the past.
D)Combine ingenuity with ideas that have been successful for others.
E)Maintain low class sizes to ensure success.

Answer 1

Combine ingenuity with ideas that have been successful for others.

Question 2

Which of these is a fundamental responsibility of the teacher?

A)The teacher should seek ways to engage all students in the learning process.
B)The teacher should ensure that all students are doing "A" level work.
C)The teacher should see to it that all students are treated the same.
D)The teacher should assess all students in the same way.
E)The teacher should address the same content in the same course every year.

Answer 2

The teacher should seek ways to engage all students in the learning process.

Question 3

The assumption that "all students have a right to equally access all areas of thecurriculum as well as access high-quality instructional materials and teaching" is the definition of which term?

A)Equality.
B)Accessibility.
C)Equity.
D)Instructability.
E)Accountability.

Answer 3

Equity.

Question 4

Which of these is a situation that often results in inequity?

A)Teaching algebra concepts to eighth graders.
B)Using calculators on tests.
C)Teaching with a textbook.
D)Tracking students by ability levels.
E)Using an integrated curriculum.

Question 5

What have many school districts done to address the issue of equity in their secondaryschools?

A)Offer an integrated curriculum.
B)Train teachers to treat all students the same.
C)Increase taxes to purchase the highest quality of materials.
D)Eliminate "honors" level courses.
E)Require all eighth grade students to take an algebra course.

Question 6

The belief that one's qualities can improve through effort and hard work is referred toas which of the following?

A)Equitable mindset.
B)Fixed mindset.
C)Accessible mindset.
D)Growth mindset.
E)Improvement mindset.

Question 7

A teacher who sees a student earn a high score on the first test of the year andimmediately believes that student will be a strong performer all year long is likely to possess which of the following mindsets?

A)Equitable mindset.
B)Fixed mindset.
C)Accessible mindset.
D)Growth mindset.
E)Improvement mindset.

Question 8

Which of the following statements/questions is the best to make to a student who hasscored high on an exam or project?

A)"How did you pull that off?"
B)"You are so smart!"
C)"Let's hope you can do as well on the next one!"
D)"Your hard work on this unit really paid off!"
E)"You did better than anyone else in the class!"

Question 9

What is a possible explanation for why males have historically outperformed femaleson mathematics achievement tests?

A)Males are inherently more prone to learn mathematics than females.
B)Males have tended to take more upper-level mathematics courses.
C)Females have a much higher level of test anxiety than their male counterparts.
D)Mathematics teachers tend to favor male over female students.
E)Males tend to study longer for mathematics tests than females.

Question 10

According to the American Society for Engineering Education, approximately whatpercentage of engineers entering the field are female?

A)10%.
B)20%.
C)30%.
D)50%.
E)70%.

Question 11

Which of the following ethnic groups do Caucasian students tend to outperform?

A)Asian students only.
B)Hispanic students only.
C)African-American students only.
D)Asian and African American students.
E)Hispanic and African American students.

Question 12

In addition to not addressing the cultural needs of African American students, whichof the following is also a cited in Chapter 12 as a significant contributing factor tofailure in inner-city schools?

A)Lack of caring teachers.
B)Poorly-written courses of study.
C)Dated textbooks.
D)Lack of technology.
E)Lack of financial resources.

Question 13

According to the NCTM, which of the following groups of students have NOThistorically been "victims of low expectations"?

A)Female students.
B)Nonwhite Students.
C)Students who live in low-income areas.
D)Students with learning disabilities.
E)Students from rural communities.

Question 14

Which of the following factors does the NCTM view as the most importantcomponent for achieving equity?020.For instructor use only.

A)Professional development of teachers.
B)High-quality instructional tools.
C)High-quality curriculum.
D)Special supplementary programs.
E)Skillful use of community resources.

Question 15

Discuss any three of the ten tips for managing a mathematics classroom.Explain how these suggestions can help to keep the classroom organized even when tools, technology, and cooperative learning strategies are being employed.

Question 16

Which of the following components is generally NOT included in a student's IEP?

A)A statement of how the disability affects the student's performance.
B)Goals for the student.
C)The nature of the student's disability.
D)A description of the student's medical history.
E)A plan for accommodations or modifications needed for the student in class.

Question 17

Which of these most accurately describes the difference between an IEP and a 504 Plan?

A)An IEP is a written plan; a 504 is a verbal agreement.
B)An IEP generally requires an intervention specialist; a 504 does not.
C)An IEP is revisited each year; a 504 is a one-year agreement only.
D)An IEP involves parents; a 504 only involves school personnel.
E)An IEP follows federal law; a 504 is a state-level document.

Question 18

Which of the following manipulatives can be particularly useful for teaching conceptsof positive and negative numbers?

A)Pattern blocks.
B)Two-color counters.
C)Geoboards.
D)Miras.
E)Base ten blocks.

Question 19

In order to simplify the expression 3-5 with color counters, which of the following would need to be added to the work mat?

A)2 yellow and 2 red counters.
B)3 yellow and 3 red counters.
C)5 yellow and 5 red counters.
D)3 yellow and 2 red counters.
E)2 yellow and 3 red counters.

Question 20

Research suggests that students with special needs often have problems inmathematics classes due to which of the following causes?

A)The teacher does not understand the mathematics himself/herself.
B)Students spend too much time doing worksheets.
C)The teacher does not emphasize the meaning of the mathematical procedures.
D)The student does not have ample opportunity to work with others in a cooperativesetting.
E)The teacher does not make frequent use of hands-on materials.

Question 21

Research on the teaching of mathematics to students with special needs shows thatwhich of the following should be encouraged?

A)Giving the students short assignments.
B)Having the students work in groups.
C)Making frequent use of technology.
D)Showing at least two different strategies for solving each problem.
E)Having the student draw pictures to visualize the problems.

Question 22

According to research on the teaching of mathematics to students with special needs,which of the following strategies results in the greatest academic gain?

A)The classroom teacher assisting the special education student.
B)A peer tutoring the special education student.
C)The special education student interacting in a small group with peers.
D)Computer software tutoring the special education student.
E)Individual tutoring of special education students in a resource room.

Question 23

The teaching strategy that involves giving students initial hands-on experiences,followed by asking the students to draw diagrams, is consistent with therecommendations of which educational theorist?

A)Bruner.
B)Piaget.
C)van Hiele.
D)Bloom.
E)Vygotsky.

Question 24

In what year was Public Law 94-142 - Individuals with Disabilities Education Act -initially passed?

A)1955.
B)1965.
C)1975.
D)1985.
E)1997.

Question 25

When a student with special needs remains in a classroom with peers, with supportservices made available, this process is referred to as which of the following?

A)Inclusion.
B)Incorporation.
C)Pull-Out Program.
D)Equity.
E)Individualization.

Question 26

Which of the following refers to a co-teaching model in which one teacher works withthe large group while another teacher assists another group by using alternativeapproaches that are appropriate to the audience?

A)Co-Modeling.
B)One Teach, One Assist.
C)Alternative Teaching.
D)Station Teaching.
E)Cooperative Teaching.

Question 27

A report by the U.S.Department of Education suggests that approximately whichpercentage of teachers have special education students in their classrooms, yet receive no consultation on how to best meet the needs of those students?

A)10%.
B)25%.
C)50%.
D)75%.
E)90%.

Question 28

Which of the following is likely to benefit a student who has a severe behavioraldisability?

A)Isolation, rather than working with others in a group.
B)Hands-on lesson experiences.
C)Specific, firm directions.
D)Strict rules for proper behavior.
E)An aide in the classroom.

Question 29

Which of the following is NOT a modification that might typically be made for aspecial needs student who has difficulty completing assignments?

A)Team the student up with another student to complete the work together.
B)Provide an alternative assignment.
C)Give fewer or shorter assignments.
D)Audio record portions of the textbook.
E)Provide advanced notices of deadlines.

Question 30

Which of the following are teachers of students with special needs encouraged to do?

A)Explain the nature of the student's disability to the class so that all of the otherstudents can assist.
B)Help the students with specials needs to become as independent as possible.
C)Routinely tutor the student with special needs in class as others workindependently.
D)Place the students in the class with special needs together in groups with otherspecial education students.
E)Modify the curriculum for the entire class so that students with special needs feelincluded in all of the work the class is doing.

Question 31

Which of the following statements about the performance of twelfth graders on theNAEP mathematics tests between 1990 and 2017 is true?

A)Males and females both experienced increases in scores over the time period.
B)Males experienced significant increases in scores over the decade, but femalescores declined.
C)Females experienced significant increases in scores over the decade, but malescores declined.
D)Males and females both experienced significant decreases in scores over thedecade.
E)Male and females achievement test scores remained essentially unchanged overthe decade.

Question 32

Which of the following statements about homework and television viewing is true?

A)Female students spend more time on homework, as well as more time viewingtelevision when compared to males.
B)Female students spend less time on homework, as well as less time viewingtelevision when compared to males.
C)Female students spend less time on homework but more time viewing televisionwhen compared to males.
D)Female students spend more time on homework but less time viewing televisionwhen compared to males.
E)Female students and their male counterparts tend to spend about the same amountof time on homework and viewing television.

Question 33

When males perform a task, they generally attribute their performance to their abilitylevels.When females perform a task, to which of the following do they generallyattribute their performance?

A)Ability.
B)Quality of instruction.
C)Study habits.
D)Luck.
E)Amount of time.

Question 34

Which of the following is recommended by the author in Chapter 12 as a way to getfemale students interested in pursuing male-dominated career areas?

A)Encourage females to take higher-level mathematics courses.
B)Invite guest speakers to the classroom.
C)Assign a career project to the class.
D)Provide female students with role models in various careers.only.
E)All of these.

Question 35

In order to counter female students' tendency to attribute success in the classroom to"luck," teachers are encouraged to do which of the following?

A)Routinely explain to the class that "luck" has little to do with success inmathematics.
B)Announce high scores received by female students to the class to encourage othersto achieve at this level.
C)Affirm female students to build their confidence.
D)Make tests less challenging so that female students can feel success.
E)Consistently remind female students that they are very capable of achievingsuccess.

Question 36

Which of the following statements about preferences of female students is supportedby research?

A)Females prefer collaboration over competition.
B)Females prefer competition over collaboration.
C)Females prefer to work alone, rather than with peers.
D)Females are intimidated by working in a group with males.
E)Females prefer speaking to writing.

Question 37

Which of the following is LEAST likely to achieve gender equity in a mathematicsclassroom?

A)Provide collaborative experiences for females.
B)Use writing in the classroom.
C)Build a classroom community that supports one another.
D)Build confidence in the classroom.
E)Treat males and females the same in the classroom.

Question 38

On the 2017 NAEP mathematics test, which of the following ethnic groups didCaucasian students outperform?

A)African Americans and Hispanics.
B)Hispanics and Native Americans.
C)African Americans and Native Americans.
D)African Americans, Hispanics, and Asians.
E)African Americans, Hispanics, and Native Americans.

Question 39

Which of the following terms refers to the idea that a teacher can try so hard to avoidbeing biased that diverse backgrounds can be ignored?

A)Cultural Conflict.
B)Expectations.
C)Color-Blindedness.
D)Meritocracy.
E)Deficit Conceptions.

Question 40

Which of the following terms refers to a teacher belief that everyone possesses thesame opportunities and can be successful through hard work?

A)Cultural Conflict.
B)Expectations.
C)Color-Blindedness.ahier 2020.For instructor use only.
D)Meritocracy.
E)Deficit Conceptions.

Question 41

An entire reform of the mathematics education system to address equity will requirewhich of these?

A)Consideration of the funding of urban schools.
B)Rewriting textbooks and resource materials.
C)Implementation of innovative technology.
D)Revisiting the preparation of teachers.
E)Revising Standards to meet the needs of individual populations.

Question 42

Which of these is the title of a series of books created by NCTM to assist teachers inaddressing equity concerns?

A)Access & Equity: Promoting High-Quality Mathematics.
B)Perspectives in Mathematics.
C)The Equity Series.
D)Teaching to Diverse Populations.
E)Accessibility and Instruction.

Question 43

Which of the following is often true about teachers of African American students?

A)Teachers do not believe that students can succeed.
B)Teachers are ill prepared to deal with the mathematical content.
C)Teachers typically work with these students in low-level mathematics courses.
D)Teachers lack an understanding of how their students learn mathematics.
E)All of these are often true.

Question 44

Which of the following is NOT a recommendation for working with AfricanAmerican students in a mathematics classroom?

A)Let your students know that you believe they can succeed.
B)Develop partnerships with parents of the students.
C)Focus on mathematical procedures.
D)Use mathematics to explore race and ethnicity issues.
E)Provide an atmosphere in which students challenge one another.

Question 45

Which of the following does the author recommend in Chapter 12 as a useful way topromote parent partnerships when teaching African American students?

A)Making routine phone calls.2020.For instructor use only.
B)Running family math nights.
C)Attending sporting events.
D)Sending notes home.
E)Creating special classes for parents.

Question 46

Which of the following ethnic groups is the youngest in the United States,representing 18% of the population in 2018?

A)African-American.
B)Asian.
C)Native American.
D)Western European.
E)Hispanic.

Question 47

Which of the following is NOT another name for English Language Learners (ELL)?

A)Language Minority Students.
B)Limited English Proficient.
C)English as a Second Language.
D)Culturally and Linguistically Diverse.
E)All of these are other names for ELL students.

Question 48

Which of the following refers to the practice of placing ELL students in regularclassrooms so that they learn both mathematics and English proficiency?

A)Sheltered Instruction.
B)Deficit Conception.
C)English Recovery.
D)Linguistic Curriculum.
E)Inclusion.

Question 49

Which of the following is NOT a component of the Sheltered Instruction ObservationProtocol (SIOP)?

A)Lesson Planning.
B)Building Background.
C)Assessing Alternatives.
D)Comprehensible Input.
E)Interactions.

Question 50

Which components of the Sheltered Instruction Observation Protocol involvesproviding sufficient wait time and using cooperative learning?

A)Building Background.
B)Interactions.
C)Comprehensible Input.
D)Student Strategies for Success.
E)Practice/Application.

Question 51

Which statement most accurately describes differentiated instruction?

A)Each student in a classroom should be taught differently, as no two students arethe same.
B)Teaching strategies should change each day so that students experience differentapproaches to the lessons.
C)Students should be asked to solve additional problems if they catch on quickly tothe standard material studied by the whole class.
D)Teachers should adapt their teaching strategies to meet the diverse needs ofstudents.
E)Students who are more able should be given additional projects that extend theirthinking beyond what is expected of the rest of the students in the class.

Question 52

Which of the following is a product that students can choose to generate todemonstrate understanding of a concept?

A)Collage.
B)Map.
C)Poster.
D)Play/Skit.
E)All of these.

Question 53

Which term refers to the climate or tone of a classroom?

A)Affect.
B)Content.
C)Process.
D)Product.
E)Routine.

Question 54

A teacher divides the class into three groups and gives each group a different task,based on what each is ready to complete.This type of lesson is referred to as whichof the following?

A)Affect.
B)Routine.
C)Tiered.
D)Co-taught.
E)Sheltered.

Question 55

Research has repeatedly shown which of the following about collaboration in themathematics classroom?

A)Students learn mathematics the best when they are able to discuss their thinkingwith others.
B)Teachers who use cooperative learning face greater disciplinary challenges thanthose who do not.
C)When students share their thinking with others, the process often confusesstudents.
D)The life skill of communication cannot be effectively taught in the mathematicsclassroom.
E)The strength of cooperative learning is that students do not have to establishindividual responsibility for learning.

Question 56

In order to make a mathematical task "worthwhile," which of the following isrecommended?

A)Make the problem fun for students to solve.
B)Ensure that the problem is easy to solve.
C)Write the problem so that it is meaningful to the student.
D)Plan the task so that it prepares students for assessments.
E)Any task can be worthwhile, as long as the directions are clear.

Question 57

Which of the following strategies for simplifying problems involving integers is theLEAST desirable for a constructivist teacher?

A)Use two-color counters.
B)Memorize basic procedures.
C)Draw pictures.
D)Use a number line.
E)Describe the problem in terms of money gained and lost.

Question 58

Which of the following is recommended in Chapter 12 as a way to deal with diversestudent abilities in the mathematics classroom?

A)Allow some groups of students to explore content that other groups may not study.
B)Use a computer program to reward students who complete work early.
C)Place a high-achieving student in each group so that he or she can move the groupalong as a faster pace.
D)Differentiate the tasks given to individual students.
E)Allow students to work at their own pace and to cover as much content as they arecapable during the school year.

Question 59

Which of the following is NOT a typical function of a mathematics club in a school?

A)Featuring guest speakers.
B)Offering tutoring to the community.
C)Conducting special projects.
D)Overseeing a student competition.
E)Assisting teachers with classroom instruction.

Question 60

Which of the following is recommended in Chapter 12 as a way for teachers toattempt to individualize to the needs of their students?

A)Provide before and after school tutoring.
B)Establish a mathematics club.
C)Set up a class website.
D)Send home a regular class newsletter.
E)All of these are recommended.

Question 61

Which of the following statements is consistent with a teacher's attempt to achieveequity through the use of assessment?

A)Students should be given multiple means to demonstrate what they know.
B)Students should be treated equally and given the same assessments.
C)Student projects should be avoided as most students are intimidated by doinglong-term work such as this.
D)A goal for teachers should be to make all students good test takers.
E)An interview is not an equitable means of assessing student progress, as the resultsare often subjective.

Question 62

Which of the following is true about the way to manage a classroom?

A)Students should always sit in individual seats.
B)Students should always sit in groups of 3 or 4.
C)Every classroom should have 3 main rules for all to follow.
D)The classroom routine should change every day.
E)There is not just one way to best manage a classroom.

Question 63

Which of the following principles is most important for instituting classroom rules?

A)Flexibility.
B)Consistency.
C)Rigidity.
D)Clarity.
E)Authority.

Question 64

The best way to avoid off-task behavior in a mathematics classroom is by doingwhich of the following?

A)Form strong relationships with students.
B)Establish strong consequences for breaking rules.
C)Write engaging lesson plans.
D)Change the classroom routine on a regular basis.
E)Avoid overuse of cooperative learning.

Question 65

Which of the following is NOT a good rule to use with cooperative learning groups?

A)Discussion in groups must be on the topic.
B)Voices must be kept low.
C)Students can discuss mathematics problems as a team.
D)Students who are struggling can copy another's work.
E)Breaking the rules can result in a "time out" from the group.

Question 66

When a lesson does not play out as intended, the tendency of many educators is toinitially do which of the following?

A)To blame the school's schedule for lack of time to teach the concept.
B)To blame oneself for writing an inadequate lesson.or use only.
C)To blame the students for not paying attention.
D)To blame the book for not including relevant problems.
E)To blame the school for not providing adequate technology for teaching.

Question 67

Provide a definition of "equity." Discuss inequities that currently exist in mathematics education and the vision of NCTM in Principles to Actions (2014)in this area.

Question 68

What is an IEP? What is a 504? Describe the components of a typical IEP or 504 in mathematics.Then, list several examples of disabilities that students might have listed in an IEP or 504 and modifications a teacher can make in the classroom to accommodate these students' needs.

Question 69

List three ways research shows that males and females learn differently.Then, describe some examples of what a mathematics teacher can do to achieve gender equity in the classroom.

Question 70

Explain the main components of the Sheltered Instruction Observation Protocol (SIOP). How are the needs of English Language Learners addressed by using this approach?

Question 71

African American students have historically scored lower on national achievements than their Caucasian peers.Explain why African American achievement levels are lower than Caucasians and provide several suggestions for how a teacher can work to achieve equity across ethnic and cultural differences.

Question 72

Explain briefly what "differentiating instruction" means.Then, discuss any three of the six recommendations discussed in Chapter 12 for how a mathematics teacher can attempt to differentiate instruction to meet the needs of all students in the classroom.