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Mathematics Instruction & Problem Solving Flashcards

7 cards from real TEXES EC-6 practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. When selecting manipulatives for a lesson on fractions, which consideration is MOST important for instructional effectiveness?

    Answer: The manipulatives should directly model the mathematical concept being taught

    Manipulatives are most effective when they have a clear structural connection to the concept, such as fraction bars for comparing fractional parts.

  2. A student uses the strategy of breaking 8 + 6 into 8 + 2 + 4 to get 10 + 4 = 14. Which reasoning strategy is the student applying?

    Answer: Making ten (bridging through ten)

    The student decomposes 6 to make a ten first, then adds the remainder—a strategy called 'making ten' or 'bridging through ten.'

  3. Which type of question promotes the HIGHEST level of mathematical thinking during classroom discussion?

    Answer: 'Why does your strategy always work, and can you prove it?'

    Asking students to justify and generalize their strategy promotes analysis and evaluation—higher-order thinking skills.

  4. A teacher notices that ELL students struggle with math word problems despite understanding the calculations. What instructional accommodation is MOST effective?

    Answer: Provide word problems with visual supports, simplified language, and key vocabulary pre-taught

    Visual supports and pre-taught vocabulary reduce language barriers while preserving the mathematical rigor of the task.

  5. In the context of early geometry instruction, which activity is MOST developmentally appropriate for kindergarten students?

    Answer: Identifying and sorting two-dimensional shapes by their attributes

    Kindergarten TEKS focus on identifying, sorting, and describing two-dimensional shapes by their properties through hands-on exploration.

  6. A teacher presents a pattern: 2, 4, 6, 8, __ and asks, 'What comes next and why?' What mathematical concept does this question MOST directly develop?

    Answer: Algebraic thinking through identifying and extending patterns

    Identifying and extending repeating or growing patterns is a foundational algebraic thinking skill in early mathematics.

  7. Which instructional sequence BEST represents the concrete-to-abstract progression for teaching addition with regrouping?

    Answer: Base-ten blocks → drawn place-value diagrams → standard algorithm

    Moving from physical blocks (concrete) to drawings (representational) to the algorithm (abstract) follows the CPA framework supported by research.