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Chapter 7: Using Technical Tools to Teach Mathematics
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or
answers the question.
1) Technology
a) Is useful as an “add-on” part of your curriculum, when you are looking for a way to heighten
student engagement.
b) Can cause students to become too dependent on tools besides their own ability to reason
mathematically.
c) Is regarded by NCTM as an essential tool for teaching and learning mathematics.
d) Is more useful for helping students practice concepts than it is for helping them learn new ones.
2) NCTM’s position on calculator use in elementary school includes which of the following ideas?
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.
3) Which of the following is NOT a common effect of using a calculator?
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.
TRUE/FALSE. Write “T” if the statement is true and “F” if the statement is false.
4) Graphing calculators are not applicable to elementary school curriculum.
5) A number of devices now exist that can collect physical data, such as motion and temperature, which can
be used for mathematical analysis.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or
answers the question.
6) Advantages of virtual manipulatives over physical ones can include all of the following EXCEPT
a) Unlimited amounts of material
b) No cleanup
c) The ability to easily teach a mathematical process to a student step by step, with no other forms of
support
d) More explicit connections to mathematical symbols
SHORT ANSWER. Write the word or phrase that best completes each statement or
answers the question.
7) One technological tool that could help develop geometric concepts is dynamic geometry
____________________________.
8) One technological tool that could help develop probability concepts is _____________________________,
programs that can manipulate rows and columns of numeric data.
9) Technological tools that could help develop _________________ algebraic thinking include virtual pattern
blocks and function graphing tools.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or
answers the question.
10) Technology is unlikely to provide which of the following benefits on a regular basis?
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
11) When selecting digital resources, teachers should consider all the following EXCEPT
a) Whether the resource will help meet a relevant learning objective
b) Whether the resource is accessible for all students
c) Whether the students will be engaged by the mathematics, rather than just the format of the
activity
d) Whether the resource was developed by a textbook company
ESSAY. Write your answer in the space provided or on a separate sheet of paper.
12) Every day, a new form of emerging technology provides a potential source of enhanced mathematical
instruction. Describe two specific examples of some of the most recently developed resources, and provide
an example of how you might use them in your classroom.
