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

The student is decomposing numbers by place value and adding the partial sums separately, which is a decomposition/partial sums strategy.

Question 2

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

Accepted Answer

Base-ten blocks

Answer

Base-ten blocks physically represent ones, tens, and hundreds, making the structure of place value concrete and visible for young learners.

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

The area model and partial products strategy builds conceptual understanding of multiplication before students transition to the more abstract standard algorithm.

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

Inviting multiple solution strategies and student discourse reflects a cognitively demanding, student-centered approach that builds mathematical reasoning and communication.

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

Low-floor/high-ceiling tasks are accessible to all learners yet extendable for advanced students, promoting flexible and creative mathematical thinking.

Praxis 5001 - Praxis Elementary Education Practice Test

Praxis 5001 - Praxis Elementary Education Practice Test

Praxis 5001 Mathematics Instruction