Liberty EDUC530 Quiz Problem Solving, Concepts of Number, and Number Systems latest 2021 August

EDUC530 Teaching Mathematics

Quiz Problem Solving, Concepts of Number, and Number Systems

Question 1The strategy for problem-solving called Act it Out is useful because:

children understand the steps of a problem through play.

children enjoy acting out stories.

teachers spend more class time in problem solving.

it is related to the process standard of reasoning and proof.

Question 2The problem below is best solved using which strategy? Pick a number, double it, add 5, double the result, subtract 6, divide by 2. If Mary’s answer is 20, what was her beginning number?

work backwards

make a table or graph

act it out

solve a simpler problem

Question 3Problem solving in elementary school is best understood as:

fun activities such as puzzles and games.

the central focus of mathematics teaching and learning.

challenging problems for the mathematically talented students.

working word problems similar to the rote practice problems in textbooks.

Question 4The strategy of making a table or graph is important because it:

makes relationships between numbers more apparent.

is easy for children to make these representations.

has connections to art.

has connections to spreadsheets and graphing calculators.

Question 5Which of the following statements is not true of the decimal number system?

There are 9 symbols for the numbers in the system.

The value of a digit is determined by its position in a numeral.

Zero acts as a number and as a placeholder in the system.

Ten is the base number.

Question 6Sample benchmarks for grade 1—counting and numbers: Which is the smallest number?

8

3

6

12

Question 7When kindergarteners find two pencils with the same length, which thinking/learning skill are they using?

grouping

ordering

seriation

matching

Question 8Patterns should be studied in elementary and middle school for all of the following reasons except:

they are fundamental to number sense and algebraic reasoning.

patterns such as square numbers show relationships of number to geometric concepts.

deriving rules for addition of odd and even numbers develop algebraic thinking.

students enjoy finding patterns in clothing.

Question 9The main difference between prime and composite numbers is that:

primes have a maximum of two factors and composite numbers have at least 3 factors.

prime numbers are made up of composite numbers.

more rectangles can be made with prime factors than with composite factors.

there are more composite numbers than prime numbers.

Question 10Reasonableness with numbers means that students can:

consider whether a number makes sense in its context.

compute answers rapidly.

use algorithms correctly.

explain their answers.