Question 1

NCTM's position on calculator use in elementary school includes which of the following ideas?

Accepted Answer

A) Calculators are good only for helping students practice procedural skills. 
B) Calculators should not be used until after students have developed mastery of basic facts. 
C) Calculators can promote higher-level thinking and reasoning. 
D) Because calculators are so widely available,it is no longer essential that students learn their basic facts. 
A) Calculators are good only for helping students practice procedural skills. 
B) Calculators should not be used until after students have developed mastery of basic facts. 
C) Calculators can promote higher-level thinking and reasoning. 
D) Because calculators are so widely available,it is no longer essential that students learn their basic facts. C

Question 2

What statement represents a technology-enabled learning setting?

Accepted Answer

A) Is an useful "add-on" part of your curriculum,when you are looking for a way to heighten student engagement. 
B) Dependent on tools besides students' own ability to reason mathematically. 
C) Essential for teaching and learning mathematics. 
D) An environment supported by mathematical,communicative and collaborative tools. 
A) Is an useful "add-on" part of your curriculum,when you are looking for a way to heighten student engagement. 
B) Dependent on tools besides students' own ability to reason mathematically. 
C) Essential for teaching and learning mathematics. 
D) An environment supported by mathematical,communicative and collaborative tools. D

Question 3

Calculators in elementary schools are not always central to mathematics instruction.All of the statements below are reasons that calculators will hinder students' learning their basic facts EXCEPT:

Accepted Answer

A) Students should rely on mental mathematics. 
B) Students should rely of paper and pencil. 
C) Students should rely on problem solving strategies. 
D) Students should rely on using appropriate tools strategically. 
A) Students should rely on mental mathematics. 
B) Students should rely of paper and pencil. 
C) Students should rely on problem solving strategies. 
D) Students should rely on using appropriate tools strategically. D

Question 4

Selecting online resources that will be effective and meet curriculum standards should be evaluated using several criteri a.Identify the criteria that are related to identifying age and grade appropriate resources.

Accepted Answer

A) The site should be current and frequently revised. 
B) The site's target. 
C) The site should not reflect a biased point of view. 
D) The site should match topic of interest. 
A) The site should be current and frequently revised. 
B) The site's target. 
C) The site should not reflect a biased point of view. 
D) The site should match topic of interest.

Question 5

All of the following are positive effects of using a calculator EXCEPT:

Accepted Answer

A) Enhanced development of concepts. 
B) Increased motivation. 
C) Students can practice computation by checking answers quickly. 
D) Students become dependent on a tool they will not be able to readily access out in the real world. 
A) Enhanced development of concepts. 
B) Increased motivation. 
C) Students can practice computation by checking answers quickly. 
D) Students become dependent on a tool they will not be able to readily access out in the real world.

Question 6

Identify and discuss two benefits of using calculators with emerging mathematics learners.

Accepted Answer

Benefits o

Question 7

Research supports the use of calculators for understanding mathematics concepts and student orientation toward mathematics.Three of the uses below are supported by the research EXCEPT.

Accepted Answer

A) Enhance Problem Solving. 
B) Practicing Basic Facts. 
C) Common Use in Society. 
D) Create Resources 
A) Enhance Problem Solving. 
B) Practicing Basic Facts. 
C) Common Use in Society. 
D) Create Resources

Question 8

Electronic textbooks can deliver programs that can be customized for districts.All of the statements below are advantages of e-books EXCEPT:

Accepted Answer

A) Inquiry based lesson. 
B) Integrated formative assessment. 
C) Cost of mobile hardware access. 
D) Access and storage of multiple disciplines on one device. 
A) Inquiry based lesson. 
B) Integrated formative assessment. 
C) Cost of mobile hardware access. 
D) Access and storage of multiple disciplines on one device.

Question 9

What is an example of a synchronous or asynchronous collaboration?

Accepted Answer

A) Videocasts. 
B) Graphing calculators. 
C) Geometer's Sketchpad. 
D) Virtual manipulatives. 
A) Videocasts. 
B) Graphing calculators. 
C) Geometer's Sketchpad. 
D) Virtual manipulatives.

Question 10

There is a range of descriptive technology-supported learning activities.Identify the activity that is related to Interpret and Explore Concepts.

Accepted Answer

A) Strive to understand the characteristics,context or meaning of problems. 
B) Produce a written document,journal entry,or report describing a concept,topic,or process. 
C) Explain relationships in representations. 
D) Test a solution and check to see whether it makes sense within the context of a solution. 
A) Strive to understand the characteristics,context or meaning of problems. 
B) Produce a written document,journal entry,or report describing a concept,topic,or process. 
C) Explain relationships in representations. 
D) Test a solution and check to see whether it makes sense within the context of a solution.

Question 11

When selecting digital resources,teachers should consider all the following EXCEPT:

Accepted Answer

A) Whether the resource will engage the students with the content. 
B) Whether the resource will challenge students to learn better. 
C) Whether the students will use the content to develop conceptual understanding. 
D) Whether the resource will be supported by multiple platforms 
A) Whether the resource will engage the students with the content. 
B) Whether the resource will challenge students to learn better. 
C) Whether the students will use the content to develop conceptual understanding. 
D) Whether the resource will be supported by multiple platforms

Question 12

The following demonstrates features of graphing calculators useful within a standard middle school curriculum.All of the ideas below are purposeful uses of a graphing calculator EXCEPT:

Accepted Answer

A) Points can be plotted on a coordinate screen. 
B) Use as a counting machine. 
C) Display window permits compound expressions. 
D) Scatter plots for ordered pairs. 
A) Points can be plotted on a coordinate screen. 
B) Use as a counting machine. 
C) Display window permits compound expressions. 
D) Scatter plots for ordered pairs.

Question 13

Technology-based learning is less likely to provide which of the following benefits on a regular basis?

Accepted Answer

A) Extensive opportunities to engage in mathematical discourse. 
B) Opportunities to practice previously learned concepts. 
C) Simulations of real-life probability events,such as tossing a coin. 
D) Methods to graph phenomena,other than by pencil and paper. 
A) Extensive opportunities to engage in mathematical discourse. 
B) Opportunities to practice previously learned concepts. 
C) Simulations of real-life probability events,such as tossing a coin. 
D) Methods to graph phenomena,other than by pencil and paper.

Question 14

Complete this statement,"Teachers need to help families understand that calculators will..".

Accepted Answer

A) Prevent students from learning rigorous mathematics. 
B) Hinder students learning of basic facts. 
C) Require students to be problem solvers. 
D) Substitute for thinking and reasoning. 
A) Prevent students from learning rigorous mathematics. 
B) Hinder students learning of basic facts. 
C) Require students to be problem solvers. 
D) Substitute for thinking and reasoning.

Question 15

What category of technology-supported learning activities would be used to create a mathematical process for others to use?

Accepted Answer

A) Create Products and Resources. 
B) Apply Mathematics to the Real World. 
C) Produce Artifacts and Representations. 
D) Practice Various Techniques. 
A) Create Products and Resources. 
B) Apply Mathematics to the Real World. 
C) Produce Artifacts and Representations. 
D) Practice Various Techniques.

Question 16

Many digital tools extend beyond the physical textbook and or tutor.What is a reason for utilizing digital tools versus physical manipulatives?

Accepted Answer

A) Thinker tool to explore mathematical ideas. 
B) By itself the tool does not teach. 
C) Tool provides a perspective on how concepts connect. 
D) Aligned to standards and mathematical practices. 
A) Thinker tool to explore mathematical ideas. 
B) By itself the tool does not teach. 
C) Tool provides a perspective on how concepts connect. 
D) Aligned to standards and mathematical practices.

Question 17

The following are considerations that teachers should keep in mind in selecting digital content.Identify that one that teachers need to use when reviewing a resource.

Accepted Answer

A) Combination of online with offline activities. 
B) Management plan for using digital content. 
C) Digital equitable of age,gender and culture. 
D) Individualized or small group use. 
A) Combination of online with offline activities. 
B) Management plan for using digital content. 
C) Digital equitable of age,gender and culture. 
D) Individualized or small group use.

Question 18

What phrase is the meaning of the term TPACK?

Accepted Answer

A) Technology applications. 
B) Technology framework. 
C) Technology standards. 
D) Technology pedagogy. 
A) Technology applications. 
B) Technology framework. 
C) Technology standards. 
D) Technology pedagogy.

Exam 7: Using Technology Tools to Teach Mathematics

NCTM's position on calculator use in elementary school includes which of the following ideas?

What statement represents a technology-enabled learning setting?

Calculators in elementary schools are not always central to mathematics instruction.All of the statements below are reasons that calculators will hinder students' learning their basic facts EXCEPT:

Selecting online resources that will be effective and meet curriculum standards should be evaluated using several criteri a.Identify the criteria that are related to identifying age and grade appropriate resources.

All of the following are positive effects of using a calculator EXCEPT:

Identify and discuss two benefits of using calculators with emerging mathematics learners.

Research supports the use of calculators for understanding mathematics concepts and student orientation toward mathematics.Three of the uses below are supported by the research EXCEPT.

Electronic textbooks can deliver programs that can be customized for districts.All of the statements below are advantages of e-books EXCEPT:

What is an example of a synchronous or asynchronous collaboration?

There is a range of descriptive technology-supported learning activities.Identify the activity that is related to Interpret and Explore Concepts.

When selecting digital resources,teachers should consider all the following EXCEPT:

The following demonstrates features of graphing calculators useful within a standard middle school curriculum.All of the ideas below are purposeful uses of a graphing calculator EXCEPT:

Technology-based learning is less likely to provide which of the following benefits on a regular basis?

Complete this statement,"Teachers need to help families understand that calculators will..".

What category of technology-supported learning activities would be used to create a mathematical process for others to use?

Many digital tools extend beyond the physical textbook and or tutor.What is a reason for utilizing digital tools versus physical manipulatives?

The following are considerations that teachers should keep in mind in selecting digital content.Identify that one that teachers need to use when reviewing a resource.

What phrase is the meaning of the term TPACK?

Teaching Mathematics in the 21st Century

Exploring What It Means to Know and Do Mathematics

Teaching Through Problem Solving

Planning in the Problem-Based Classroom

Building Assessment Into Instruction

Teaching Mathematics Equitably to All Children

Developing Early Number Concepts and Number Sense

Developing Meanings for the Operations

Helping Students Master the Basic Facts

Developing Whole-Number Place-Value Concepts

Developing Strategies for Addition and Subtraction Computation

Developing Strategies for Multiplication and Division Computation

Algebraic Thinking, equations, and Functions

Developing Fraction Concepts

Developing Strategies for Fraction Computation

Developing Concepts of Fractions and Decimals

Proportional Reasoning

Developing Measurement Concepts

Geometric Thinking and Geometric Concepts

Developing Concepts of Data Analysis

Exploring Concepts of Probability

Developing Concepts of Exponents, integers, and Real Numbers

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