TExES EC-6 Mathematics Instruction & Problem Solving 2

Question 1

A teacher wants students to discover the relationship between repeated addition and multiplication. Which instructional approach best supports this conceptual understanding?

Accepted Answer

Have students model 4 groups of 3 objects then write the corresponding multiplication sentence

Answer

Using manipulatives to model equal groups connects concrete experience to the abstract multiplication symbol, building conceptual understanding.

Question 2

When teaching place value, a second-grade teacher uses base-ten blocks. A student correctly identifies that 3 tens and 7 ones equals 37. What is the MOST appropriate next instructional step?

Accepted Answer

Ask the student to explain why the 3 is in the tens place and the 7 is in the ones place

Answer

Asking for explanation assesses depth of understanding and promotes mathematical reasoning before advancing to more complex content.

Question 3

Which problem-solving strategy is MOST appropriate when helping kindergarteners determine how many students are in the class if 5 are absent and 18 are present?

Accepted Answer

Use a number line to count on from 18 to find the total

Answer

A number line provides a concrete, visual tool for counting on that is developmentally appropriate for kindergarteners.

Question 4

A student consistently makes errors when adding fractions by adding both numerators and denominators (e.g., 1/2 + 1/3 = 2/5). What is the BEST instructional response?

Accepted Answer

Use fraction strips to demonstrate why denominators must be equal before adding

Answer

Fraction strips provide a visual, conceptual explanation for why common denominators are required, addressing the root misconception.

Question 5

According to the TEKS, which of the following is an appropriate expectation for first-grade students regarding measurement?

Accepted Answer

Measure length using non-standard units and compare lengths of objects

Answer

First-grade TEKS focus on measuring with non-standard units and comparing lengths, which builds foundational measurement concepts.

(TExES EC-6) TExES Core Subjects EC–6 Practice Test

(TExES EC-6) TExES Core Subjects EC–6 Practice Test

TExES EC-6 Mathematics Instruction & Problem Solving 2