The following list of topics will help you prepare for
the written exam
in each content area of the K-8 mathematics masters
program.
Algebra (Patterns)
- Generating
explicit and recursive formulas from data
- Identifying
critical points
- Analyzing
relationships
- Explaining
a formula based on the pattern that generated the formula
- Solving
problems algebraically
- Connect
tables, graphs, equations, pictoral and verbal representations
Assessment
á Types
of data
o Qualitative
o Quantitative
¤ Discrete
¤ Continuous
á Statistical
analysis tools
o Formulating
hypotheses (null, alternative)
o Making
decision based on p-value
o Paired
t-test
o Two-sample
t-test
á Creating
an assessment plan
o Student
level – pre and post performance
o Class
level – pre and post performance
o Class-to-class
comparisons
o Year-to-year
comparisons
á Correlation
and scatter plots
o Positive
correlation
o Negative
correlation
o No
association
Data
- Types
of data
- Single
and multi-variate representations
- Qualitative
- Quantitative
- Correlation
and scatter plots
- Positive
correlation
- Negative
correlation
- No
association
- Measures
of Central Tendancy
- Data
representation
- Circle
or pie, bar charts, histograms
- Line
plots
- Stem
and leaf plots
- Box
and whisker plots
- Min,
max, range
- Quartiles,
inter quartile range
- Inner,
outer fences
- Outliers,
extreme outliers
Discrete Mathematics
- Problem
Solving
- Circuits
and paths
- Directed
edge graphs
- Weighted
edge graphs
- Apportionment
theories
- Voting
theories
- Fundamental
counting principle
- Combinations
- Permutations
- Venn
diagrams
Geometry
- Polygon
and polyhedra properties
- Measurement
concepts and systems
- Transformational
geometry
- Rigid
transformations
- Non-rigid
transformations
- Fractals
- Van
Hiele levels
- Number,
names, description, age range
- Significance
- Venn
diagrams
- Relationships
between elements
Number Sense and Number Theory
- Properties
- Associative
- Closure
- Commutative
- Identity
- Inverse
- Distributive
- Divisibility
tests (explaining them algebraically and concretely)
- Integer
representations and operations
- Rational
and irrational numbers
- Fraction
to decimal, decimal to fraction representation
- Exponential
notation
- Prime
and composite numbers
- Problem
solving
- Mystery
numbers
- Ordering
numbers (less than, greater than, equal to)
Probability
- Informal
language terms
- Definition
for the probability of an event in an experiment
- Experimental
and Empirical probability
- Range
of values
- Sample
spaces
- List,
table, tree, abbreviated tree, area
- Experiments
with replacement and without replacement
- Conditional
probability
- Expected
value
- Experiment
simulations
Arithmetic Foundations I
- Counting letter arrangements
- Finding probabilities of experiments
- Game board addition and subtraction
- Partial product multiplication
- Place value long division
Arithmetic Foundations II
- The seven Bemidji State teaching principles
- Model fractions
- Geometric fractions