FTCE MIDDLE GRADES MATHS 5-9 EXAM LATEST 2023-2024 ACTUAL EXAM 200 QUESTIONS AND
CORRECT DETAILED ANSWERS
Deductive reasoning - (answer) using two or more known premises to draw a conclusion (all cats say
meow; Jackie is a cat; we can deduce that Jackie says meow)
Conjectures - (answer) guesses without proof while doing mathematics
inductive reasoning - (answer) generalizing knowledge from one area to another (if a random sample
of a population shows a correlation in improved health with a new drug, it can be induced that the drugs
will be helpful for others in the population)
portfolio - (answer) a collection of a students work and achievements that is used to assess past
accomplishments and future potential
criterion-referenced tests - (answer) test in which a standard has been set for the test taker to achieve
in order to pass the test (a multiple choice or short answer test on the content of a unit of study in which
a 70% is needed to pass)
diagnostic assessment/ pre-assessment - (answer) assessment administered before instruction to
determine students strengths and weaknesses.
concrete representations - (answer) using physical pieces to represent mathematical problems
(manipulatives)
formal assessments - (answer) a usually post-instruction assessment with the purpose of assessing
student knowledge, retention, and application. often involve the use of a standardized rubric or scoring
guide based on several criteria (chapter test, semester tests)
universal screener - (answer) an assessment administered to all students to gather data and form
groups, such as intervention groups.
backward design/planning - (answer) Lesson planning that begins with the desired outcome in mind.
1. goal/objective
, FTCE MIDDLE GRADES MATHS 5-9 EXAM LATEST 2023-2024 ACTUAL EXAM 200 QUESTIONS AND
CORRECT DETAILED ANSWERS
2. assessment
3. lessons
authentic assessment - (answer) assessments that measure a student's intellectual accomplishments
through a significant and meaningful task.
symbolic stage/representational stage - (answer) drawing pictures or symbols to represent numbers in
an equation
formative assessments - (answer) assessments for learning. usually mid-instruction assessment with
the purpose of assessing student progress and informing the teacher so instruction can be altered as
needed (graphic organizers, games)
abstract thinking - (answer) using numbers or letter variables in an equation (13x=y)
summative assessments - (answer) assessment of learning. Given at specific points in time in order to
determine what students know and don't know. generally formal. (state assessments, district
benchmarks, semester or six weeks test, and end of unit or chapter)
informal assessments - (answer) more flexible than formal assessments and can be adjusted to fit the
situation and particular needs of the student being tested (observations during a lesson)
progress monitoring - (answer) periodic assessments to monitor student growth and evaluate the
effectiveness of instruction (the teacher prepared a progress monitoring assessment to see how much
each student had improved and learn if his new instructional approach was effective)
Closure activity - (answer) a time to summarize the learning for the day (what question(s) do you still
have about today's lesson?)
norm-referenced tests - (answer) test that compare an individual's performance/achievement to a
group called the "norm group" (an IQ test)
CORRECT DETAILED ANSWERS
Deductive reasoning - (answer) using two or more known premises to draw a conclusion (all cats say
meow; Jackie is a cat; we can deduce that Jackie says meow)
Conjectures - (answer) guesses without proof while doing mathematics
inductive reasoning - (answer) generalizing knowledge from one area to another (if a random sample
of a population shows a correlation in improved health with a new drug, it can be induced that the drugs
will be helpful for others in the population)
portfolio - (answer) a collection of a students work and achievements that is used to assess past
accomplishments and future potential
criterion-referenced tests - (answer) test in which a standard has been set for the test taker to achieve
in order to pass the test (a multiple choice or short answer test on the content of a unit of study in which
a 70% is needed to pass)
diagnostic assessment/ pre-assessment - (answer) assessment administered before instruction to
determine students strengths and weaknesses.
concrete representations - (answer) using physical pieces to represent mathematical problems
(manipulatives)
formal assessments - (answer) a usually post-instruction assessment with the purpose of assessing
student knowledge, retention, and application. often involve the use of a standardized rubric or scoring
guide based on several criteria (chapter test, semester tests)
universal screener - (answer) an assessment administered to all students to gather data and form
groups, such as intervention groups.
backward design/planning - (answer) Lesson planning that begins with the desired outcome in mind.
1. goal/objective
, FTCE MIDDLE GRADES MATHS 5-9 EXAM LATEST 2023-2024 ACTUAL EXAM 200 QUESTIONS AND
CORRECT DETAILED ANSWERS
2. assessment
3. lessons
authentic assessment - (answer) assessments that measure a student's intellectual accomplishments
through a significant and meaningful task.
symbolic stage/representational stage - (answer) drawing pictures or symbols to represent numbers in
an equation
formative assessments - (answer) assessments for learning. usually mid-instruction assessment with
the purpose of assessing student progress and informing the teacher so instruction can be altered as
needed (graphic organizers, games)
abstract thinking - (answer) using numbers or letter variables in an equation (13x=y)
summative assessments - (answer) assessment of learning. Given at specific points in time in order to
determine what students know and don't know. generally formal. (state assessments, district
benchmarks, semester or six weeks test, and end of unit or chapter)
informal assessments - (answer) more flexible than formal assessments and can be adjusted to fit the
situation and particular needs of the student being tested (observations during a lesson)
progress monitoring - (answer) periodic assessments to monitor student growth and evaluate the
effectiveness of instruction (the teacher prepared a progress monitoring assessment to see how much
each student had improved and learn if his new instructional approach was effective)
Closure activity - (answer) a time to summarize the learning for the day (what question(s) do you still
have about today's lesson?)
norm-referenced tests - (answer) test that compare an individual's performance/achievement to a
group called the "norm group" (an IQ test)
