Primary Math Methods Final Exam Review

Front

Which of the following is a TRUE statement about the theory of constructivism?

• Learners are blank slates, waiting to be filled with knowledge from the teacher
• Your brain uses existing knowledge to make sense of new information
• Knowing is the same thing as understanding
• Memorizing is the most important aspect of the learning process

Back

Your brain uses existing knowledge to make sense of new information

Front

Which of the following is a TRUE statement about Sociocultural Theory?

• Students learn best when they work by themselves to solve math problems.
• Students learn best when they work with others to solve math problems.
• Students learn best when the math problems are too easy for them to solve.
• Students learn best when the math problems are too hard for them to solve.

Back

Students learn best when they work with others to solve math problems.

Front

What should a teacher do to set up an environment for "doing" mathematics, based on the ideas of constructivism and sociocultural learning theory?

Back

Pose worthwhile tasks that open opportunities to develop mathematical thinking

Front

How is problem solving included in the PA Core Math Standards?

Back

Problem solving is included as a standard for mathematical practice in the PA Core Math Standards

Front

Which grade level is the following PA Core Math Standard? CC.2.1.3.B.4.

Back

Third grade

Front

Which PA Standard for Mathematical Practice is best aligned with the objective: "Given 12 wooden blocks, the fifth grade students will list at least 15 different ways to create a rectangular prism with a volume of 12"? Options: Use appropriate tools strategically, Model with mathematics, Attend to precision, Make sense of problems and persevere in solving them.

Back

Make sense of problems and persevere in solving them

Front

A preschool teacher wants to promote children's skills related to counting and comparing numbers. Which of the following is most appropriate to use for this purpose? Options: Ask students to look around the classroom for the largest number they can find, Let the class vote on which book the teacher should read next and then ask the class which book won, based on votes, Have the class count the number of times a flipped coin comes up heads and then predict the next coin flip, Select one child each day to count the number of children in the class and set out the appropriate number of cups for a water break

Back

Let the class vote on which book the teacher should read next and then ask the class which book won, based on votes

Front

A teacher asks Kindergarten students to make collections of counters: one with the same amount, one with more, and one with less than shown on a picture card. Which PA Core Math Standard aligns with this activity? Options: CC.2.1.K.A.1, CC.2.1.K.A.2, CC.2.1.K.A.3, CC.2.1.K.B.1

Back

CC.2.1.K.A.3: Apply the concept of magnitude to compare numbers and quantities

Front

What early counting strategy is shown when a student quickly names the number of dots in an arrangement?

Back

Subitizing

Front

Which counting principle does Clara not yet understand when she recounts blocks before answering? Options: Cardinality, Number Sequence, One-to-One Correspondence, Subitizing.

Back

Cardinality