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.
Read the first 7 Mathematics Instruction & Problem Solving flashcards as text
A teacher wants students to discover the relationship between repeated addition and multiplication. Which instructional approach best supports this conceptual understanding?
Answer: Have students model 4 groups of 3 objects then write the corresponding multiplication sentence
Using manipulatives to model equal groups connects concrete experience to the abstract multiplication symbol, building conceptual understanding.
When teaching place value, a second-grade teacher uses base-ten blocks. A student correctly identifies that 3 tens and 7 ones equals 37. What is the MOST appropriate next instructional step?
Answer: Ask the student to explain why the 3 is in the tens place and the 7 is in the ones place
Asking for explanation assesses depth of understanding and promotes mathematical reasoning before advancing to more complex content.
Which problem-solving strategy is MOST appropriate when helping kindergarteners determine how many students are in the class if 5 are absent and 18 are present?
Answer: Use a number line to count on from 18 to find the total
A number line provides a concrete, visual tool for counting on that is developmentally appropriate for kindergarteners.
A student consistently makes errors when adding fractions by adding both numerators and denominators (e.g., 1/2 + 1/3 = 2/5). What is the BEST instructional response?
Answer: Use fraction strips to demonstrate why denominators must be equal before adding
Fraction strips provide a visual, conceptual explanation for why common denominators are required, addressing the root misconception.
According to the TEKS, which of the following is an appropriate expectation for first-grade students regarding measurement?
Answer: Measure length using non-standard units and compare lengths of objects
First-grade TEKS focus on measuring with non-standard units and comparing lengths, which builds foundational measurement concepts.
A teacher poses this problem: 'Maria has some apples. She gives 4 away and has 9 left. How many did she start with?' What type of problem structure is this?
Answer: Start unknown (separate)
The initial quantity is missing after a removal action, making this a 'start unknown' problem in the separate problem type.
Which formative assessment technique is MOST effective for quickly gauging all students' understanding of a math concept mid-lesson?
Answer: Exit tickets or hand signals where all students respond simultaneously
Simultaneous response techniques like exit tickets or hand signals provide immediate data from every student, not just those who volunteer.