Praxis 5001 Mathematics Instruction

Question 1

A student solves 47 + 38 by adding 40 + 30 = 70, then 7 + 8 = 15, then 70 + 15 = 85. Which mathematical strategy is the student using?

Accepted Answer

Decomposition and partial sums

Answer

Standard algorithm

Answer

Counting on

Answer

Compensation

Question 2

Which manipulative is most appropriate for helping first graders understand place value concepts?

Accepted Answer

Base-ten blocks

Answer

Fraction tiles

Answer

Pattern blocks

Answer

Geoboards

Question 3

According to the Common Core State Standards progression, which multiplication concept should students understand before learning the standard algorithm?

Accepted Answer

Area model and partial products

Answer

Long division

Answer

Fraction multiplication

Answer

Integer operations

Question 4

A teacher presents a problem and asks students to solve it in multiple ways and share their strategies. Which instructional approach does this reflect?

Accepted Answer

Cognitively demanding mathematical discourse

Answer

Direct instruction only

Answer

Rote memorization practice

Answer

Timed fluency drills

Question 5

Which type of problem is most effective for developing students' number sense and flexible thinking in elementary math?

Accepted Answer

Open-ended or low-floor/high-ceiling tasks

Answer

Problems with a single prescribed method

Answer

Timed computation worksheets

Answer

Identical practice problems in sequence

Question 6

A third grader understands that 3 × 4 = 12 but struggles with 4 × 3. Which fundamental property should the teacher address?

Accepted Answer

Commutative property

Answer

Distributive property

Answer

Associative property

Answer

Identity property