MTEL MTEL Elementary Education Subject Matter 3

Question 1

A student says 3/4 is less than 1/2 because '4 is bigger than 2.' What is the MOST likely misconception?

Accepted Answer

The student treats fraction numerators and denominators as independent whole numbers

Answer

This whole-number thinking misconception occurs when students compare denominators in isolation rather than understanding that a larger denominator means smaller equal parts.

Question 2

Which property justifies the statement: 6 × (4 + 3) = (6 × 4) + (6 × 3)?

Accepted Answer

Distributive property

Answer

The distributive property states that multiplying a sum by a number equals the sum of individual products.

Question 3

A rectangle has a perimeter of 24 cm. If the length is 8 cm, what is the width?

Accepted Answer

4 cm

Answer

Perimeter = 2(length + width), so 24 = 2(8 + w), giving 12 = 8 + w, so w = 4 cm.

Question 4

Which representation BEST helps 3rd graders understand the concept of division as equal sharing?

Accepted Answer

Partitioning manipulatives into equal groups

Answer

Physically partitioning objects into equal groups builds conceptual understanding of division before moving to abstract procedures.

Question 5

A bar graph shows that 12 students prefer soccer, 8 prefer basketball, and 5 prefer tennis. What fraction of students prefer basketball?

Accepted Answer

8/25

Answer

The total number of students is 12 + 8 + 5 = 25, so the fraction preferring basketball is 8/25.

Massachusetts Tests for Educator Licensure Practice Test

Massachusetts Tests for Educator Licensure Practice Test

MTEL MTEL Elementary Education Subject Matter 3