OGET OGET Mathematics Foundations & Pedagogy

Question 1

Which instructional model moves students from physical objects, to pictures, to abstract symbols in mathematics learning?

Accepted Answer

Concrete-Representational-Abstract (CRA)

Answer

I Do, We Do, You Do

Answer

Direct instruction model

Answer

Socratic method

Question 2

A student solves 8 × 7 by thinking '8 × 7 = 8 × 5 + 8 × 2 = 40 + 16 = 56.' This demonstrates use of the:

Accepted Answer

Distributive property

Answer

Commutative property

Answer

Associative property

Answer

Identity property

Question 3

Which type of mathematical reasoning involves drawing a general conclusion from a set of specific examples?

Accepted Answer

Inductive reasoning

Answer

Deductive reasoning

Answer

Proportional reasoning

Answer

Spatial reasoning

Question 4

A teacher wants students to understand place value conceptually. Which manipulative is MOST appropriate?

Accepted Answer

Base-ten blocks

Answer

Algebra tiles

Answer

Fraction circles

Answer

Geoboards

Question 5

Which approach to problem-solving in mathematics encourages students to try multiple strategies and discuss their reasoning with peers?

Accepted Answer

Problem-based learning

Answer

Rote memorization

Answer

Standard algorithm drill

Answer

Direct recall practice

Question 6

When a student consistently makes errors computing with fractions because they add both numerators and denominators, the teacher should first address:

Accepted Answer

Conceptual understanding of what fractions represent

Answer

Memorization of fraction rules

Answer

Timed practice drills

Answer

Calculator use