FTCE ELEMENTARY EDUCATION K 6
MATHEMATICS EXAM PREP KIT 2026
BUNDLED PRACTICE SOLUTION GUIDE
● Geometry: Van Hiele levels of geometric reasoning. Answer:
Descriptive (name & recognize shapes), to analytic(Identify properties
of the shape), to abstract(recognize relationships between properties of
shapes)
● Scaffolding. Answer: Provide guidance and support to students
without limiting student's investigation
● Polya's problem-solving process. Answer: understand problem, devise
a plan, carrying out the plan,and looking back
● Subitizing. Answer: student's ability to look at a number pattern and
instantly recognize that number without counting
● Automaticity. Answer: When students can recite basic fact answers
with speed and accuracy.
● Efficiency. Answer: effectively carrying out an algorithm easily and
without confusion
, ● Accuracy. Answer: Correctness of results
● Flexibility. Answer: Students are able to use and understand more
than one computational algorithm
● Rate. Answer: How many exercises were correctly done in a fixed
amount of time
● The 4 levels of Complexity/Depth of knowledge. Answer: 1. Recall
information
2. Basic application of concepts and skills
3. Strategic thinking and complex reasoning
4. Extended thinking and complex reasoning
● Join problems. Answer: problems that involve adding or joining
elements (the starting amount, the change amount, and the resulting
amount)
● Separate problems. Answer: Removing elements from a set
● Part-part-whole problems. Answer: Involve no action or change over
time as happens with join and separate problems
MATHEMATICS EXAM PREP KIT 2026
BUNDLED PRACTICE SOLUTION GUIDE
● Geometry: Van Hiele levels of geometric reasoning. Answer:
Descriptive (name & recognize shapes), to analytic(Identify properties
of the shape), to abstract(recognize relationships between properties of
shapes)
● Scaffolding. Answer: Provide guidance and support to students
without limiting student's investigation
● Polya's problem-solving process. Answer: understand problem, devise
a plan, carrying out the plan,and looking back
● Subitizing. Answer: student's ability to look at a number pattern and
instantly recognize that number without counting
● Automaticity. Answer: When students can recite basic fact answers
with speed and accuracy.
● Efficiency. Answer: effectively carrying out an algorithm easily and
without confusion
, ● Accuracy. Answer: Correctness of results
● Flexibility. Answer: Students are able to use and understand more
than one computational algorithm
● Rate. Answer: How many exercises were correctly done in a fixed
amount of time
● The 4 levels of Complexity/Depth of knowledge. Answer: 1. Recall
information
2. Basic application of concepts and skills
3. Strategic thinking and complex reasoning
4. Extended thinking and complex reasoning
● Join problems. Answer: problems that involve adding or joining
elements (the starting amount, the change amount, and the resulting
amount)
● Separate problems. Answer: Removing elements from a set
● Part-part-whole problems. Answer: Involve no action or change over
time as happens with join and separate problems
