Mathematics Teaching Methods Flashcards

A teacher uses algebra tiles to help students model polynomial factoring. This approach best exemplifies which instructional principle?

Answer: Concrete-Representational-Abstract (CRA) progression

The CRA framework moves students from physical manipulatives (concrete) through diagrams (representational) to symbolic notation (abstract).

Which formative assessment strategy gives real-time data about student understanding during a math lesson without interrupting flow?

Answer: Mini whiteboards for simultaneous response

Mini whiteboards allow all students to display answers at once, giving the teacher immediate whole-class data.

When differentiating a geometry lesson, a teacher offers three versions of a task at varying complexity levels. This strategy is called:

Answer: Tiered tasks

Tiered tasks present the same core concept at different levels of complexity to meet diverse learners' needs.

A student consistently reverses the inequality sign when multiplying both sides by a negative number. The teacher's most targeted intervention is to:

Answer: Use a number-line demonstration showing direction reversal with a specific counter-example

A concrete number-line counter-example directly addresses the misconception by making the sign reversal visually meaningful.

Which questioning technique encourages students to justify mathematical reasoning rather than just state answers?

Answer: Focusing questions that probe student thinking

Focusing questions redirect attention to student reasoning and require explanation, deepening conceptual understanding.

To address math anxiety in a high school classroom, the MOST effective environmental approach is:

Answer: Normalizing mistakes as part of the learning process through a growth mindset culture

A growth mindset culture reduces fear of failure and has been shown to lower math anxiety and increase persistence.

A teacher wants students to discover the Pythagorean theorem before formally stating it. Which activity best supports this inquiry approach?

Answer: Drawing squares on each side of right triangles and comparing areas

Building and comparing squares on triangle sides lets students observe the area relationship empirically before the formula is formalized.