Question 1

Secondary level math courses for students who are unlikely to continue to higher education should:
A) focus on remedial skills only.
B) not differ from peers who will attend higher levels of education.
C) teach life skills
D) be implemented and planned to challenge students as much as possible.

Accepted Answer

Secondary level math courses for students who are unlikely to continue to higher education should focus on teaching life skills such as budgeting, understanding interest rates, and interpreting graphs for practical applications. These skills are more relevant and applicable to their future everyday lives.

Question 2

Which form of assessment features student-specific data that can guide instructionally meaningful decisions?
A) Informal diagnostic
B) Curriculum-based measurement
C) Formal diagnostic
D) Standardized measures of genetic achievement

Accepted Answer

Curriculum-based measurement (CBM) is designed to provide frequent monitoring of student progress in core academic areas. It features student-specific data that can guide instructionally meaningful decisions. CBM data is utilized to make adjustments or modifications to classroom instruction to meet the specific needs of individual students.

Question 3

What activity helps students bridge the gap between precomputational and computational skills?
A) Gaining knowledge of one-to-one correspondence.
B) Learning to write numerals from 1 to 10.
C) Adding meaning to symbols associated with numbers.
D) Increasing content knowledge to the point where the teacher no longer becomes necessary.

Accepted Answer

B

Question 4

Why is explicit instruction considered to be one of the most effective methods to teach math to students with disabilities?
A) It provides clear demonstrations and models for solving problems, and extensive practice opportunities of the newly learned skills and strategies
B) It teaches understanding of mathematical concepts.
C) It enhances concept or skill development.
D) It allows for informational feedback to be provided to students.

Accepted Answer

Explicit instruction provides clear demonstrations and models for solving problems, and provides extensive practice opportunities of the newly learned skills and strategies which is believed to be effective for teaching math to students with disabilities.

Question 5

Choose an example of a remedial mathematics program from the list below:
A) direct instruction math.
B) project math.
C) cooperative learning.
D) corrective mathematics.

Accepted Answer

Corrective mathematics is specifically designed to address the gaps in skills and knowledge that exist in students who struggle with math. It focuses on isolating and developing skills through targeted instruction and assessment, making it an effective remedial program.

Question 6

There are several excellent techniques for informal diagnosis of mathematical skills, including error patterns, task analysis, and student verbalization. Which of the following is not an advantage of these methods?
A) They subdivide and expand concepts and skills assessed on more formal measures.
B) They are commercially made, which means that no teacher preparation is required.
C) They help the teacher determine the focus of instruction
D) They help the teacher pinpoint precise difficulties.

Accepted Answer

The statement "They are commercially made, which means that no teacher preparation is required" is not an advantage of these informal diagnostic methods. In fact, the informal methods often require significant teacher preparation and expertise to effectively analyze student errors, tasks, and verbalizations. The other answer choices are advantages of these methods.

Question 7

What is so advantageous about Cawley's interactive unit model?
A) It requires other subject matter to be incorporated into programming.
B) It provides flexibility for teachers when planning for students.
C) There is no teacher preparation required, thus minimizing student workload.
D) There are only five ways that a student can respond to a question or situation.

Accepted Answer

Cawley's interactive unit model provides flexibility for teachers when planning for students, allowing them to adapt to different learning styles and abilities. This makes it an advantageous model to use. The other answer choices are incorrect as they do not accurately describe the advantages of the model.

Question 8

Which of the following is not an example of an alternative delivery system?
A) Computers
B) Cooperative learning
C) Peer tutors
D) Math through children's literature

Accepted Answer

The answer of Which of the following is not an...

Question 9

Disadvantages of standardized diagnostic measures are:
A) they do not contain subtests directly related to mathematics.
B) target skills are not measured in enough detail.
C) their diagnostic usefulness is limited when only using devised scores.
D) they do not allow for informal, teacher constructed measures.

Accepted Answer

Standardized diagnostic measures often rely solely on devised scores, which can limit their diagnostic usefulness as they may not provide a complete picture of a student's abilities and difficulties.

Question 10

In recommending mathematical standards, groups such as NCTM advocate:
A) That they are meant to provide guidance on instructional environments, actions, and activities that are needed to realize student goals.
B) That these areas should be researched in more detail.
C) They should be followed as closely as possible in order to efficiently teach students with disabilities.
D) That such measures be implemented on a national basis.

Accepted Answer

The NCTM recommends math standards to provide guidance on instructional environments, actions, and activities that are needed to realize student goals. The standards are not intended to be followed with exactness, but rather as a guide to inform instruction. The NCTM also advocates for ongoing research to inform and update these standards as necessary. The focus should be on effective teaching and learning for all students, regardless of ability or disability, and should not be limited by national boundaries or mandates.

Question 11

Which of the following is not an advantage of curriculum- based approaches to assessment?
A) Items or problems assess a specific skill.
B) The data can guide instructionally meaningful decisions
C) Enough problems are given to measure a skill.
D) There is little teacher preparation involved.

Accepted Answer

Curriculum-based approaches to assessment typically require significant teacher preparation to align the assessment with the curriculum, develop or select appropriate items, and analyze the results to guide instruction. This makes the statement that there is little teacher preparation involved incorrect in the context of curriculum-based assessment advantages.

Question 12

Which component of effective instructional practice is useful for teaching basic mathematical skills to student with mild learning disabilities?
A) Scheduling
B) Clear communications
C) Informational feedback
D) Guided practice

Accepted Answer

Guided practice allows for additional support and one-on-one attention for students with mild learning disabilities who may struggle with basic mathematical skills. This will provide them with the opportunity to ask questions, receive immediate feedback and obtain assistance in problem solving.

Question 13

According to the text, which form of assessment is most useful for measuring mathematics ability and diagnosing mathematical difficulties?
A) Curriculum-based measurement
B) Formal diagnostic tests
C) Informal diagnostic tests
D) Standardized measures of general achievement

Accepted Answer

Curriculum-based measurement (CBM) is the most useful form of assessment for measuring mathematics ability and diagnosing mathematical difficulties because it directly measures a student's progress in the actual curriculum being taught in the classroom. Formal diagnostic tests, informal diagnostic tests, and standardized measures of general achievement may also provide useful information, but CBM is specifically designed to assess mastery of the specific curriculum being taught.

Question 14

Math instruction should focus on:
A) standards that are too low and easy to attain.
B) conceptual understanding, procedural fluency, and the automatic recall of facts.
C) goals and objectives that define academic proficiency.
D) the new technological trend.

Accepted Answer

Conceptual understanding helps students to see how mathematical concepts and procedures interconnect, while procedural fluency and automatic recall of facts are needed to apply math new concepts and solve problems. This more comprehensive approach helps students to have a more in-depth understanding of mathematics and prepares them for higher-level math courses.

Question 15

Which of the following may be considered when trying to identify whether students are choosing to use mathematical procedures, principles, and facts with providing cues on tests?
A) Interviews
B) Journals
C) Portfolios
D) Task analysis

Accepted Answer

The answer of Which of the following may be considered...

Question 16

The most frequent employed approach to teaching math is:
A) basal textbooks.
B) discovery based learning.
C) didactic theory.
D) cooperative learning.

Accepted Answer

Basal textbooks are the most frequently employed approach to teaching math in traditional classrooms. These textbooks provide a structured curriculum and a clear progression of skills and knowledge to be learned. They also typically include practice problems and assessments to measure progress. While other approaches, such as discovery based learning and cooperative learning, have become more popular in recent years, basal textbooks remain the dominant tool for teaching mathematics.

Question 17

Which of the following is not a reason for evaluating mathematics?
A) Determination of eligibility for services
B) Measuring applicability of new standards
C) Choosing the most suitable placement
D) Evaluating program effectiveness

Accepted Answer

Measuring applicability of new standards is actually a reason for evaluating mathematics, along with the other options given (determination of eligibility for services, choosing the most suitable placement, evaluating program effectiveness). Therefore, option B is incorrect as it is not a choice that is not a reason for evaluating mathematics.

Question 18

Which approach would students more likely utilize over various mathematical problems?
A) Role learning
B) Remedial skills focus
C) Strategy instruction
D) Real life computational skills

Accepted Answer

Strategy instruction is the most effective approach as it focuses on teaching students various problem-solving strategies that are applicable to different mathematical problems. This approach enables students to approach new problems with a systematic mindset, breaking down the problem into smaller, more manageable components. Students who receive strategy instruction are more confident in their mathematics abilities and are more successful in tackling unfamiliar and complex problems. Role learning emphasizes learning mathematical formulas step by step, which may not be applicable to all mathematical problems. Remedial skills focus emphasizes teaching students skills they previously missed, which may not apply to all students. Real life computational skills, while valuable, may not be applicable to all mathematical problems.

Question 19

Why are the recommendations of groups such as the National Council of Teachers of Mathematics (NCTM) important?
A) They split math into a number of skill areas.
B) They bought technological resources such as calculators into the fray.
C) They help to spell out needed changes in mathematical education and shape reform efforts.
D) The groups recommended testing should be used as an adequate form of measurement.

Accepted Answer

The recommendations of groups such as NCTM are important because they help to spell out needed changes in mathematical education and shape reform efforts. This way, experts in the field can provide guidance to educators and policymakers on how to improve math education and ensure that students are equipped with valuable skills and knowledge. Splitting math into skill areas and incorporating technological resources are just some of the ways that these recommendations can be implemented, but the overarching goal is to improve the overall quality of math education for students. However, the statement that groups recommend testing as an adequate form of measurement is false and therefore not a valid reason why these recommendations are important.

Question 20

Which method involves the grouping of students to achieve a particular goal?
A) Cooperative learning
B) Cognitively demanding instructional approach
C) Direct instruction math
D) Project math

Accepted Answer

Cooperative learning involves the grouping of students to work together towards a common goal, such as solving a math problem or completing a project. This method encourages social interaction and student engagement, while also fostering the development of communication and collaboration skills.

Quiz 9: Mathematics Instruction

Secondary level math courses for students who are unlikely to continue to higher education should:

Which form of assessment features student-specific data that can guide instructionally meaningful decisions?

What activity helps students bridge the gap between precomputational and computational skills?

Why is explicit instruction considered to be one of the most effective methods to teach math to students with disabilities?

Choose an example of a remedial mathematics program from the list below:

There are several excellent techniques for informal diagnosis of mathematical skills, including error patterns, task analysis, and student verbalization. Which of the following is not an advantage of these methods?

What is so advantageous about Cawley's interactive unit model?

Which of the following is not an example of an alternative delivery system?

Disadvantages of standardized diagnostic measures are:

In recommending mathematical standards, groups such as NCTM advocate:

Which of the following is not an advantage of curriculum- based approaches to assessment?

Which component of effective instructional practice is useful for teaching basic mathematical skills to student with mild learning disabilities?

According to the text, which form of assessment is most useful for measuring mathematics ability and diagnosing mathematical difficulties?

Math instruction should focus on:

Which of the following may be considered when trying to identify whether students are choosing to use mathematical procedures, principles, and facts with providing cues on tests?

The most frequent employed approach to teaching math is:

Which of the following is not a reason for evaluating mathematics?

Which approach would students more likely utilize over various mathematical problems?

Why are the recommendations of groups such as the National Council of Teachers of Mathematics (NCTM) important?

Which method involves the grouping of students to achieve a particular goal?