STEM MATH PEDAGOGIES TEST
UPDATED ACTUAL Questions and
CORRECT Answers
conceptual understanding
procedural fluency
strategic competence
productive disposition
adaptive reasoning - CORRECT ANSWER -What are the five strands of mathematical
proficiency?
comprehension of mathematical concepts, operations, and relations - CORRECT
ANSWER -What is conceptual understanding?
skill in carrying out procedures flexibly, accurately, efficiently, and appropriately - CORRECT
ANSWER -what is procedural fluency?
ability to formulate, represent, and solve mathematical problems - CORRECT ANSWER -
What is strategic competence?
habitual inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief
in diligence and one's own efficacy - CORRECT ANSWER -what is productive
disposition?
capacity for logical thought, reflection, explanation, and justification - CORRECT
ANSWER -what is adaptive reasoning?
Instrumental understanding: doing something without understanding
Relational understanding: knowing what to do and why - CORRECT ANSWER -what did
Richard Skemp come up with?
, - CORRECT ANSWER -What is an example of relational understanding?
Efficiency
flexibility
accuracy - CORRECT ANSWER -What are the components of procedural fluency?
Often called problem solving
Includes routine and nonroutine problems
Flexibility is the key!
Students consider: the situation, possible representations, and different approaches - CORRECT
ANSWER -What is strategic competence?
Capacity to think logically about the relationships among concepts and situations
Careful consideration at the beginning of solving a problem of a variety of solution approaches
The readiness to switch out for a new strategy in the middle of working a problem if one isn't
fruitful
Being able to justify the solution at the end of solving a problem - CORRECT ANSWER -
What is adaptive reasoning?
Favorable attitude about being able to do mathematics
Confidence
Sees themselves as an effective learner and doer of mathematics
Growth mindset - CORRECT ANSWER -What is productive disposition?
Constructivism: Jean Piaget
Sociocultural Theory: Lev Vygotsky - CORRECT ANSWER -How can students learn
mathematics?
UPDATED ACTUAL Questions and
CORRECT Answers
conceptual understanding
procedural fluency
strategic competence
productive disposition
adaptive reasoning - CORRECT ANSWER -What are the five strands of mathematical
proficiency?
comprehension of mathematical concepts, operations, and relations - CORRECT
ANSWER -What is conceptual understanding?
skill in carrying out procedures flexibly, accurately, efficiently, and appropriately - CORRECT
ANSWER -what is procedural fluency?
ability to formulate, represent, and solve mathematical problems - CORRECT ANSWER -
What is strategic competence?
habitual inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief
in diligence and one's own efficacy - CORRECT ANSWER -what is productive
disposition?
capacity for logical thought, reflection, explanation, and justification - CORRECT
ANSWER -what is adaptive reasoning?
Instrumental understanding: doing something without understanding
Relational understanding: knowing what to do and why - CORRECT ANSWER -what did
Richard Skemp come up with?
, - CORRECT ANSWER -What is an example of relational understanding?
Efficiency
flexibility
accuracy - CORRECT ANSWER -What are the components of procedural fluency?
Often called problem solving
Includes routine and nonroutine problems
Flexibility is the key!
Students consider: the situation, possible representations, and different approaches - CORRECT
ANSWER -What is strategic competence?
Capacity to think logically about the relationships among concepts and situations
Careful consideration at the beginning of solving a problem of a variety of solution approaches
The readiness to switch out for a new strategy in the middle of working a problem if one isn't
fruitful
Being able to justify the solution at the end of solving a problem - CORRECT ANSWER -
What is adaptive reasoning?
Favorable attitude about being able to do mathematics
Confidence
Sees themselves as an effective learner and doer of mathematics
Growth mindset - CORRECT ANSWER -What is productive disposition?
Constructivism: Jean Piaget
Sociocultural Theory: Lev Vygotsky - CORRECT ANSWER -How can students learn
mathematics?
