Question 1

Describe three components of effective mathematics instruction.

Accepted Answer

Three components of effective mathematics instruction include:
(i) Using mathematics-specific effective teaching techniques-This includes use of techniques such as concrete-semi-concrete/representational-abstract model. Effective mathematics instruction includes teaching students to master concepts through reliance on the concrete, semi-concrete (or representational), and abstract (CSA/CRA) model. This model first involves the use of tangible, three-dimensional objects or manipulatives that facilitate the learning of the mathematic concept by creating a mental image of the particular concept being taught. Once the students are able to grasp the concrete example of the concept, the semi-concrete level is introduced, which is a representation of the concrete example (e.g., drawing on paper). This begins the process of translating concepts students know about the mathematical relationships between physical objects to a mere representation of those relationships. The semi-concrete stage can include, for example, the use of tally marks in arithmetic computation, drawings of geometric shapes, or pictorial representations. The semi-concrete stage of instruction begins to help the student relate real world mathematics concepts to images seen on a page.
(ii) Building concepts and embedding math in real situations-teaching students to understand mathematical concepts rather than just having them memorize rote responses to basic facts or algorithms. Teaching students to learn mathematical concepts through everyday situations can promote learning as well as motivating the students to want to learn the concepts. Using a real-life situation as an anchoring technique or a connective strategy to the mathematical concept can help the students see the relevance of the concept and how to employ it on a daily basis.
(iii) Developing automaticity in computation-With automaticity (fluency) in computation, students are equipped for advance computational work and problem-solving. Automaticity in mathematics is achieved by initial skills being taught by a teacher, students practice those skills with close teacher guidance, students practice independently, and students move into a maintenance phase.

Question 2

Math instruction should focus on:

Accepted Answer

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. 
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. B

Question 3

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

Accepted Answer

A)  direct instruction math. 
B)  project math. 
C)  cooperative learning. 
D)  corrective mathematics. 
A)  direct instruction math. 
B)  project math. 
C)  cooperative learning. 
D)  corrective mathematics. D

Question 4

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

Accepted Answer

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. 
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.

Question 5

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

Accepted Answer

A)  Computers 
B)  Cooperative learning 
C)  Peer tutors 
D)  Math through children's literature 
A)  Computers 
B)  Cooperative learning 
C)  Peer tutors 
D)  Math through children's literature

Question 6

Disadvantages of standardized diagnostic measures are:

Accepted Answer

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. 
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.

Question 7

Discuss the following statement: "Problem solving is important yet difficult to teach."

Accepted Answer

Problem solving is important yet difficu

Question 8

Which of the following is not a computational skill?

Accepted Answer

A)  Measurement 
B)  Precomputational skills 
C)  Subtraction 
D)  Multiplication 
A)  Measurement 
B)  Precomputational skills 
C)  Subtraction 
D)  Multiplication

Question 9

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

Accepted Answer

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. 
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.

Question 10

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

Accepted Answer

A)  Determination of eligibility for services 
B)  Measuring applicability of new standards 
C)  Choosing the most suitable placement 
D)  Evaluating program effectiveness 
A)  Determination of eligibility for services 
B)  Measuring applicability of new standards 
C)  Choosing the most suitable placement 
D)  Evaluating program effectiveness

Question 11

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?

Accepted Answer

A)  Interviews 
B)  Journals 
C)  Portfolios 
D)  Task analysis 
A)  Interviews 
B)  Journals 
C)  Portfolios 
D)  Task analysis

Question 12

In recommending mathematical standards, groups such as NCTM advocate:

Accepted Answer

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. 
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.

Question 13

Identify four advantages of curriculum-based measures.

Accepted Answer

Four advantages of curriculum-based meas

Question 14

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

Accepted Answer

A)  Cooperative learning 
B)  Cognitively demanding instructional approach 
C)  Direct instruction math 
D)  Project math 
A)  Cooperative learning 
B)  Cognitively demanding instructional approach 
C)  Direct instruction math 
D)  Project math

Question 15

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

Accepted Answer

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. 
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.

Question 16

Briefly explain why it is important for students to be proficient in mathematics.

Accepted Answer

It is important for students to be profi

Question 17

The most frequent employed approach to teaching math is:

Accepted Answer

A)  basal textbooks. 
B)  discovery based learning. 
C)  didactic theory. 
D)  cooperative learning. 
A)  basal textbooks. 
B)  discovery based learning. 
C)  didactic theory. 
D)  cooperative learning.

Question 18

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

Accepted Answer

A)  Curriculum-based measurement 
B)  Formal diagnostic tests 
C)  Informal diagnostic tests 
D)  Standardized measures of general achievement 
A)  Curriculum-based measurement 
B)  Formal diagnostic tests 
C)  Informal diagnostic tests 
D)  Standardized measures of general achievement

Question 19

What is the purpose for using technology during math instruction?

Accepted Answer

A)  To teach content areas 
B)  To teach personally relevant activities 
C)  To promote an atmosphere of participation 
D)  To prepare for using mathematics 
A)  To teach content areas 
B)  To teach personally relevant activities 
C)  To promote an atmosphere of participation 
D)  To prepare for using mathematics

Question 20

The problem-solving process includes all the following except:

Accepted Answer

A)  carrying out the solution by completing planned computations. 
B)  integrating the problem information to create a structural representation. 
C)  randomly using operations to use in solving the problem. 
D)  translating the problem in order to determine what it is saying. 
A)  carrying out the solution by completing planned computations. 
B)  integrating the problem information to create a structural representation. 
C)  randomly using operations to use in solving the problem. 
D)  translating the problem in order to determine what it is saying.

Describe three components of effective mathematics instruction.

Math instruction should focus on:

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

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

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

Disadvantages of standardized diagnostic measures are:

Discuss the following statement: "Problem solving is important yet difficult to teach."

Which of the following is not a computational skill?

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

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

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?

In recommending mathematical standards, groups such as NCTM advocate:

Identify four advantages of curriculum-based measures.

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

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

Briefly explain why it is important for students to be proficient in mathematics.

The most frequent employed approach to teaching math is:

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

What is the purpose for using technology during math instruction?

The problem-solving process includes all the following except:

Special Education: an Introduction to Teaching Students With Special Needs 1

Foundations of Effective Instruction

Teaching and Differentiating Instruction in a Multi-Tiered System of Education

Strategies for Classroom Management and Positive Behavior Support

Spoken Language

Reading: Word Recognition

Reading: Comprehension

Written Language

Social Studies

Science

Study Skills

Social Competence and Self-Determination Skills

Applied Academics

Career Development and Transition Across School Levels

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Exam 9: Mathematics Instruction

Describe three components of effective mathematics instruction.

Math instruction should focus on:

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

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

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

Disadvantages of standardized diagnostic measures are:

Discuss the following statement: "Problem solving is important yet difficult to teach."

Which of the following is not a computational skill?

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

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

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?

In recommending mathematical standards, groups such as NCTM advocate:

Identify four advantages of curriculum-based measures.

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

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

Briefly explain why it is important for students to be proficient in mathematics.

The most frequent employed approach to teaching math is:

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

What is the purpose for using technology during math instruction?

The problem-solving process includes all the following except:

Special Education: an Introduction to Teaching Students With Special Needs 1

Foundations of Effective Instruction

Teaching and Differentiating Instruction in a Multi-Tiered System of Education

Strategies for Classroom Management and Positive Behavior Support

Spoken Language

Reading: Word Recognition

Reading: Comprehension

Written Language

Social Studies

Science

Study Skills

Social Competence and Self-Determination Skills

Applied Academics

Career Development and Transition Across School Levels

Filters