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Comprehension
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Novice o Students could
not find solution to problems, or wrong solutions. o
Inappropriate formula or concepts are applied and/or
procedures are used o The solution does not address
the mathematical components presented in the assigned
task.
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Apprentice o The solution
is not complete indicating that parts of the problem
are not understood. o The solution only address some
of the components of the task.
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Practitioner o The
solution shows that the students has a general understanding
of the formula and concepts for the solution. o The
solution addresses all the components presented in the
task.
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Expert o The solution
shows the students has a deep understanding of the concept.
o the solution completely addresses all the components
of the assigned task
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____
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Strategies, Reasoning,
Procedure
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Novice o there is no
evidence showing student using strategy. o Too many
procedural errors led to the failure to solving the
problem
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Apprentice o The strategy
used is partially useful. o There is some evidence of
mathematical reasoning. o Some procedures are correct,
but not enough to solving the problem.
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Practitioner o Student
uses a strategy that leads to the solution of the problem.
o Effective reasoning is evident. o All procedures are
correct and correct answer is reached.
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Expert o Students uses
a very effective and sophisticated strategy leading
directly to the solution. o Reasoning is logical and
refined. o Procedures and connections are directly linked
to each other.
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____
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Communication
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Novice o There is no
explanation how the solution is reached or it is wrong
solution. o No mathematical representation methods employed.
i.e.,. graphics, diagrams, tables, formula, etc.
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Apprentice o There
is partial and incomplete explanation. o Some mathematical
presentation used o Some terminology used.
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Practitioner o Clear
explanation was presented. o Appropriate use of accurate
mathematical representation. o There is effective use
of mathematical terminology and formula.
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Expert o Clear, effective
explanation detailing how the problem is solved. All
of the steps are included. o Mathematical representation
is actively used as a means of communicating ideas related
to the solution of the problem. o There is precise and
appropriate use of terminology and formula.
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____
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