Question 1

Indicators of students' abilities to reason abstractly include all of the following except :

Accepted Answer

A) using verbal explanations. 
B) using mental computation. 
C) using technology. 
D) using number sense. 
A) using verbal explanations. 
B) using mental computation. 
C) using technology. 
D) using number sense. C

Question 2

Problem-based projects and investigations enable:

Accepted Answer

A) teachers to keep students working cooperatively. 
B) students to pursue mathematical topics in depth. 
C) teachers to assess students' knowledge of addition facts. 
D) students to work on the computer. 
A) teachers to keep students working cooperatively. 
B) students to pursue mathematical topics in depth. 
C) teachers to assess students' knowledge of addition facts. 
D) students to work on the computer. B

Question 3

Explain the purposes of directed teaching/thinking lessons in student learning. What are the roles of the teacher and students?

Accepted Answer

Directed teaching/thinking lessons serve several purposes in student learning. Firstly, they provide a structured and focused approach to teaching specific skills or concepts. This helps students to develop a deeper understanding of the material and to make connections between different ideas. Additionally, directed teaching/thinking lessons can help students to develop critical thinking skills, as they are encouraged to analyze and evaluate information in a guided manner.

The role of the teacher in directed teaching/thinking lessons is to provide clear instruction and guidance to students. This may involve presenting information in a step-by-step manner, asking probing questions, and providing examples or models for students to follow. The teacher also plays a crucial role in facilitating discussions and encouraging students to think critically about the material.

On the other hand, the role of the students in directed teaching/thinking lessons is to actively engage with the material and participate in the learning process. This may involve asking questions, working through problems or exercises, and collaborating with peers to deepen their understanding. Students are also encouraged to reflect on their own thinking and to make connections between the new material and their prior knowledge.

Overall, directed teaching/thinking lessons are designed to support student learning by providing a structured and guided approach to developing specific skills and concepts. The teacher and students work together to create an environment that fosters critical thinking and deep understanding of the material.

Question 4

During the first phase of a directed teaching/thinking lesson, the teacher's purpose is to:

Accepted Answer

A) assess student readiness. 
B) develop interest in the topic and identify the learning focus. 
C) explain and demonstrate the concept or skill of the lesson. 
D) determine the mastery level of each child. 
A) assess student readiness. 
B) develop interest in the topic and identify the learning focus. 
C) explain and demonstrate the concept or skill of the lesson. 
D) determine the mastery level of each child.

Question 5

Flexible grouping strategies are put in place so that:

Accepted Answer

A) teachers can work with students on specific needs and interests. 
B) teachers can plan remedial work for some students and advanced work for others. 
C) advanced students can work on the next level of mathematics. 
D) materials can be shared. 
A) teachers can work with students on specific needs and interests. 
B) teachers can plan remedial work for some students and advanced work for others. 
C) advanced students can work on the next level of mathematics. 
D) materials can be shared.

Question 6

During the second phase of the directed teaching/thinking lesson, the teacher may include each of the following except:

Accepted Answer

A) explain and demonstrate the concept or skill of the lesson. 
B) transfer the learning to new situations. 
C) check for understanding. 
D) engage students in a problem that develops the concept or skill. 
A) explain and demonstrate the concept or skill of the lesson. 
B) transfer the learning to new situations. 
C) check for understanding. 
D) engage students in a problem that develops the concept or skill.

Question 7

Teachers create unit plans to:

Accepted Answer

A) have on-file lessons that administrators can use when observing them. 
B) make sure learning activities are sequenced correctly. 
C) make sure students stay on task. 
D) make sure all concepts from the textbook are covered. 
A) have on-file lessons that administrators can use when observing them. 
B) make sure learning activities are sequenced correctly. 
C) make sure students stay on task. 
D) make sure all concepts from the textbook are covered.

Question 8

Spiral instructional planning involves:

Accepted Answer

A) carefully sequencing instructional objectives. 
B) teaching topics at more complex levels over time. 
C) planning interdisciplinary units that integrate several subjects. 
D) developing instructional units with other teachers. 
A) carefully sequencing instructional objectives. 
B) teaching topics at more complex levels over time. 
C) planning interdisciplinary units that integrate several subjects. 
D) developing instructional units with other teachers.

Question 9

Explain the purposes of informal or exploratory experiences in student learning. What are the roles of the teacher and students?

Accepted Answer

Informal or exploratory experiences in s

Question 10

Cooperative learning is recommended because students:

Accepted Answer

A) get grades of 90% or above on cooperative projects. 
B) enjoy working in groups. 
C) can divide the work up so that each person has reduced time and effort on a project. 
D) are responsible for the learning of all members of the group. 
A) get grades of 90% or above on cooperative projects. 
B) enjoy working in groups. 
C) can divide the work up so that each person has reduced time and effort on a project. 
D) are responsible for the learning of all members of the group.

Question 11

An example of a problem-based investigation is:

Accepted Answer

A) determining how much money is necessary to make change for a purchase of $4.78 when $5 is given to the clerk at the store. 
B) determining the base of a parallelogram whose area is 20 square units. 
C) discovering various details (destination, speed, weight, cargo, etc.)about a train that passes outside a classroom window. 
D) calculating how much time it takes for music class to finish if the time now is 2:15 and the class gets over at 2:43. 
A) determining how much money is necessary to make change for a purchase of $4.78 when $5 is given to the clerk at the store. 
B) determining the base of a parallelogram whose area is 20 square units. 
C) discovering various details (destination, speed, weight, cargo, etc.)about a train that passes outside a classroom window. 
D) calculating how much time it takes for music class to finish if the time now is 2:15 and the class gets over at 2:43.

Question 12

Learning centers can be used for exploratory lessons. Give three specific examples of activities that would lend themselves to this type of arrangement. Then, give two pros and cons about this type of arrangement in your classroom.

Accepted Answer

Three specific examples of activities th

Question 13

Open-ended questions elicit much greater response than closed questions in classroom discussions. Ask a closed question, then change it to an open-ended question. Why do you think you would get a better response with the open-ended question?

Accepted Answer

Closed question: Did you understand the

Question 14

A teacher was overheard saying that he believed that mathematical manipulatives should primarily be used for young children and slow learners. React to his statement, using facts from the chapter.

Accepted Answer

I disagree with the teacher's statement

Question 15

Which of the following sequences is recommended for increasing understanding in mathematics?

Accepted Answer

A) symbolic to mental to concrete to pictorial 
B) concrete to pictorial to symbolic to mental 
C) mental to pictorial to concrete to symbolic 
D) concrete to symbolic to mental to pictorial 
A) symbolic to mental to concrete to pictorial 
B) concrete to pictorial to symbolic to mental 
C) mental to pictorial to concrete to symbolic 
D) concrete to symbolic to mental to pictorial

Question 16

According to Gagne, what are the three sequential stages of a well-planned lesson?

Accepted Answer

A) instructional input, motivation, assessment 
B) preparation, presentation, practice 
C) pre-assessment, preparation, presentation 
D) independent practice, presentation, feedback 
A) instructional input, motivation, assessment 
B) preparation, presentation, practice 
C) pre-assessment, preparation, presentation 
D) independent practice, presentation, feedback

Question 17

Instructional objectives describe:

Accepted Answer

A) what students need to know when performing procedural tasks. 
B) what students should know and be able to do after instruction. 
C) long-term planning goals. 
D) how teachers present lessons to their students. 
A) what students need to know when performing procedural tasks. 
B) what students should know and be able to do after instruction. 
C) long-term planning goals. 
D) how teachers present lessons to their students.

Question 18

Directed teaching/thinking lessons are:

Accepted Answer

A) dominated by the teacher. 
B) guided by the teacher. 
C) independent projects for students. 
D) easy to plan. 
A) dominated by the teacher. 
B) guided by the teacher. 
C) independent projects for students. 
D) easy to plan.

Question 19

According to INTASC, beginning teacher standards include all of the following except:

Accepted Answer

A) the teacher plans instruction based on knowledge of subject matter. 
B) the teacher understands how children learn. 
C) the teacher uses technology to teach computer skills. 
D) the teacher fosters relationships with colleagues. 
A) the teacher plans instruction based on knowledge of subject matter. 
B) the teacher understands how children learn. 
C) the teacher uses technology to teach computer skills. 
D) the teacher fosters relationships with colleagues.

Question 20

Informal activities are important because:

Accepted Answer

A) children need to play. 
B) children enjoy games, puzzles, and manipulative materials. 
C) children can stay busy but the teacher does not have to supervise informal activities. 
D) children develop understanding of concepts before they are taught in formal lessons. 
A) children need to play. 
B) children enjoy games, puzzles, and manipulative materials. 
C) children can stay busy but the teacher does not have to supervise informal activities. 
D) children develop understanding of concepts before they are taught in formal lessons.

Indicators of students' abilities to reason abstractly include all of the following except :

Problem-based projects and investigations enable:

Explain the purposes of directed teaching/thinking lessons in student learning. What are the roles of the teacher and students?

During the first phase of a directed teaching/thinking lesson, the teacher's purpose is to:

Flexible grouping strategies are put in place so that:

During the second phase of the directed teaching/thinking lesson, the teacher may include each of the following except:

Teachers create unit plans to:

Spiral instructional planning involves:

Explain the purposes of informal or exploratory experiences in student learning. What are the roles of the teacher and students?

Cooperative learning is recommended because students:

An example of a problem-based investigation is:

Learning centers can be used for exploratory lessons. Give three specific examples of activities that would lend themselves to this type of arrangement. Then, give two pros and cons about this type of arrangement in your classroom.

Open-ended questions elicit much greater response than closed questions in classroom discussions. Ask a closed question, then change it to an open-ended question. Why do you think you would get a better response with the open-ended question?

A teacher was overheard saying that he believed that mathematical manipulatives should primarily be used for young children and slow learners. React to his statement, using facts from the chapter.

Which of the following sequences is recommended for increasing understanding in mathematics?

According to Gagne, what are the three sequential stages of a well-planned lesson?

Instructional objectives describe:

Directed teaching/thinking lessons are:

According to INTASC, beginning teacher standards include all of the following except:

Informal activities are important because:

Elementary Mathematics for the 21st Century

Defining a Comprehensive Mathematics Program

Mathematics for Every Child

Learning Mathematics

Integrating Assessment

Developing Problem-Solving Strategies

Developing Concepts of Number

Extending Number Concepts and Number Systems

Developing Number Operations With Whole Numbers

Extending Computational Fluency With Larger Numbers

Developing Understanding of Common and Decimal Fractions

Extending Understanding of Common and Decimal Fractions

Developing Aspects of Proportional Reasoning: Ratio, Proportion, and Percent

Thinking Algebraically

Developing and Extending Geometric Concepts and Systems

Developing and Extending Measurement Concepts

Understanding and Representing Concepts of Data

Investigating Probability

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Exam 5: Organizing Effective Instruction

Indicators of students' abilities to reason abstractly include all of the following except :

Problem-based projects and investigations enable:

Explain the purposes of directed teaching/thinking lessons in student learning. What are the roles of the teacher and students?

During the first phase of a directed teaching/thinking lesson, the teacher's purpose is to:

Flexible grouping strategies are put in place so that:

During the second phase of the directed teaching/thinking lesson, the teacher may include each of the following except:

Teachers create unit plans to:

Spiral instructional planning involves:

Explain the purposes of informal or exploratory experiences in student learning. What are the roles of the teacher and students?

Cooperative learning is recommended because students:

An example of a problem-based investigation is:

Learning centers can be used for exploratory lessons. Give three specific examples of activities that would lend themselves to this type of arrangement. Then, give two pros and cons about this type of arrangement in your classroom.

Open-ended questions elicit much greater response than closed questions in classroom discussions. Ask a closed question, then change it to an open-ended question. Why do you think you would get a better response with the open-ended question?

A teacher was overheard saying that he believed that mathematical manipulatives should primarily be used for young children and slow learners. React to his statement, using facts from the chapter.

Which of the following sequences is recommended for increasing understanding in mathematics?

According to Gagne, what are the three sequential stages of a well-planned lesson?

Instructional objectives describe:

Directed teaching/thinking lessons are:

According to INTASC, beginning teacher standards include all of the following except:

Informal activities are important because:

Elementary Mathematics for the 21st Century

Defining a Comprehensive Mathematics Program

Mathematics for Every Child

Learning Mathematics

Integrating Assessment

Developing Problem-Solving Strategies

Developing Concepts of Number

Extending Number Concepts and Number Systems

Developing Number Operations With Whole Numbers

Extending Computational Fluency With Larger Numbers

Developing Understanding of Common and Decimal Fractions

Extending Understanding of Common and Decimal Fractions

Developing Aspects of Proportional Reasoning: Ratio, Proportion, and Percent

Thinking Algebraically

Developing and Extending Geometric Concepts and Systems

Developing and Extending Measurement Concepts

Understanding and Representing Concepts of Data

Investigating Probability

Filters