Question 1

The learning trajectory for counting has levels of thinking.What level below would represent a child that can count objects and know which have been counted and which have not,and respond to random arrangements.

Accepted Answer

The level "Counter and Producer" represents the ability to count objects and know which have been counted and which have not, and to respond to random arrangements. This level also includes the ability to produce a sequence of numbers up to a given number.

Question 2

Which of the following represents a true statement about the concept of 0?

Accepted Answer

Developing an understanding of 0 is important with its role in the base-ten number system. Zero is an essential concept in mathematics and its understanding is important for children to build a strong foundation in number sense. It helps in learning about place value and number operations.

Question 3

Research-based recommendations for high quality learning activities in the first six years of life include all of the following EXCEPT:

Accepted Answer

The correct answer is C) Provide experiences for children to become procedurally fluent. In the first six years of life, the focus is more on developing a foundational understanding and love for learning rather than procedural fluency, which refers to the ability to apply procedures accurately, efficiently, and flexibly. This comes later in a child's mathematical development.

Question 4

The concepts of more,less and same are basic relationships that contribute to children's understanding of number.Identify the one relationship that if a child is unable to use they may be at educational risk.

Accepted Answer

The answer of The concepts of more,less and same are...

Question 5

An important variation of part-part-whole activities is referred to as missing-part activities.Identify the statement below that describes a missing part activity.

Accepted Answer

A missing part activity involves identifying or finding the missing part of a given whole or a part. In this case, the dot plate shows 5, and the statement "I wish I had seven" implies that the missing part is 2. Therefore, it is a missing part activity. The other options are not missing part activities. Option A is a part-part-whole activity, Option B is a visual-spatial activity involving patterns or sequences, and Option D is a basic addition fact.

Question 6

Which of the following is a description of Number Sense?

Accepted Answer

Number sense involves understanding and working with numbers in a flexible way, including thinking about different sized quantities and using number relationships. This involves more than simply counting or performing operations with numbers.

Question 7

Experience with number relationships will guide children beyond counting by ones to solve problems.Name the relationship 10 plays in developing number sense.

Accepted Answer

The number 10 serves as a benchmark number, helping children understand and develop number sense by providing a reference point for counting, addition, and subtraction.

Question 8

The National Research Council identified three foundational areas in mathematics content for early learners.Identify the core that is more applicable for experienced learners.

Accepted Answer

The reasoning core is more applicable for experienced learners as it focuses on problem-solving skills, logic, and critical thinking. It builds on the foundational knowledge of numbers, operations, and relationships, making it an appropriate choice for more advanced learners.

Question 9

One of the best ways for children to think of real quantities is to associate numbers with measure of things.What concept would not emerge from using estimation?

Accepted Answer

Estimation involves making an educated guess about a quantity, rather than determining an exact amount. Therefore, the concept of "exactly how many" would not emerge from using estimation.

Question 10

Reading and writing numerals is similar to teaching children the alphabet and reading.Identify the statement below that would be developmentally inappropriate for early learners.

Accepted Answer

The answer of Reading and writing numerals is similar to...

Question 11

Children who can count successfully orally,but do not understand that the last word stated is the amount of the set are not demonstrating what principle?

Accepted Answer

The principle that is not demonstrated by children who can count successfully orally but do not understand that the last word stated is the amount of the set is cardinality. Cardinality refers to the understanding that the last number counted represents the quantity of the set. Therefore, children who can count successfully but do not understand this principle may struggle with understanding mathematical concepts such as addition and subtraction. Choices A, B, and C are all related to counting and enumeration, but do not specifically address the concept of cardinality.

Question 12

While developing students' understanding of the relationships for numbers 10 through 20,all of the following should be kept in mind EXCEPT:

Accepted Answer

The concept of place value is more complex and extends beyond just understanding the relationships between numbers 10 through 20. While it's important for students to grasp the concept of tens and ones within this number range, a "complete understanding of the concept of place value" involves more advanced concepts that are typically developed over time and with exposure to larger numbers.

Question 13

Complete this statement,"The early stages of number development,the use of graphs is primarily for.."

Accepted Answer

In the early stages of number development, the use of graphs is primarily for connecting numbers to real quantities. Children are able to make sense of numbers better when they can see a visual representation of them. Graphs are a great way to show numbers in relation to real objects, which helps children understand the meaning of the numbers. Bench mark numbers and part-part-whole are concepts that are typically introduced later in number development. Learning the counting sequence is important, but graphs are not typically used for that purpose.

Question 14

A hundreds chart is an essential tool for early exposure to numbers to 100.All of the reasons below are benefits of using hundreds chart EXCEPT:

Accepted Answer

The hundreds chart is specifically designed to help children understand numbers up to 100, so it is not intended to help them conceptualize numbers greater than 100.

Question 15

Here is a possible list of the kinds of things children should learn about any number up to 20 while in pre-k or kindergarten.All of them are appropriate EXCEPT:

Accepted Answer

Reading three-digit numbers is not typically expected of children in pre-k or kindergarten, as the focus at this age is usually on understanding and working with numbers up to 20.

Question 16

A blank number line and numeral cards can be used to support the development of numeral identification and what other concept?

Accepted Answer

The answer of A blank number line and numeral cards...

Question 17

Graphs clearly exhibit comparisons between numbers.What question below would require a comparison response?

Accepted Answer

The question "How much is the difference between apples and oranges?" requires a comparison between the numbers representing the preference for apples and oranges.

Question 18

Which one the statements below is not a part of the progression of a child's understanding of ten?

Accepted Answer

The statement that a child understands 30 as 3 tens is not directly related to the progression of a child's understanding of ten. It indicates an understanding of the relationship between tens and other numbers, but not specifically the concept of ten itself. The other statements describe how a child's understanding of ten typically progresses from understanding it as ten ones to understanding it as a unit with materials or representations and being able to solve tasks involving tens using those materials or representations.

Question 19

Verbal counting requires separate skills.Identify the statement that represents one of them.

Accepted Answer

One-to-one correspondence is the skill of matching each item being counted with one count word, and it is an important skill required for verbal counting. The other options listed (B, C, and D) are related to different aspects of counting but do not specifically address the skill of one-to-one correspondence.

Question 20

Children explore quantity before they can count.What is the word for children being able to "just" see how many there are without counting?

Accepted Answer

Subitizing is the ability to quickly recognize a small quantity of objects without counting. It is often referred to as "number sense" and is a foundational skill for later mathematical abilities.

Quiz 8: Developing Early Number Concepts and Number Sense