MTEL MTEL Mathematics Foundations & Pedagogy

Question 1

A student solves 7 × 8 by thinking '7 × 7 = 49, then add 7 more = 56.' This demonstrates which mathematical practice?

Accepted Answer

Using known facts and decomposition strategies

Answer

The student uses a known fact and applies decomposition, demonstrating flexible, strategy-based mathematical thinking.

Question 2

In mathematics education, the Concrete-Representational-Abstract (CRA) progression means:

Accepted Answer

Beginning with physical objects, then pictures, then symbols

Answer

The CRA sequence scaffolds learning by starting with manipulatives (concrete), moving to drawings (representational), and finally to symbols (abstract).

Question 3

Which Massachusetts Curriculum Framework strand addresses students' ability to make sense of problems and persevere in solving them?

Accepted Answer

Mathematical Practice Standards

Answer

The Standards for Mathematical Practice, including MP.1 (make sense of problems and persevere), describe the processes and proficiencies central to mathematics education.

Question 4

A teacher notices students can perform long division procedures but cannot explain why they work. This gap is between:

Accepted Answer

Procedural fluency and conceptual understanding

Answer

Students who can execute procedures without understanding concepts have procedural fluency without conceptual understanding, an important instructional gap to address.

Question 5

The use of number lines to teach fraction concepts primarily helps students understand:

Accepted Answer

Fractions as numbers with magnitude and position

Answer

Number lines help students see fractions as numbers with specific positions and magnitudes, building conceptual understanding beyond part-whole models.

MTEL - Massachusetts Tests for Educator Licensure Practice Test

MTEL - Massachusetts Tests for Educator Licensure Practice Test

MTEL MTEL Mathematics Foundations & Pedagogy