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Mathematical Proficiency - Coggle Diagram
Mathematical Proficiency
Conceptual Understanding - the comprehension
of mathematical concepts, operations, and relations
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If students understand a method, they are
more likely to remember it correctly
It allows learners to use concepts they learned and apply it to new situations, which means that they have a lot less to learn when a new topic is introduced
Meaning of things, rather that the procedure.
Procedural Fluency - skill in carrying out procedures flexibly, accurately, efficiently, and appropriately
Learning a specific procedure to be able to solve a problem. And knowing when and how to use the procedure/formulae.
Be able to judge whether a formulae or procedure will be the right fit to solve the problem at hand.
Strategic Competence - the ability to formulate,
represent, and solve mathematical problems
understand a mathematical problems, use various methods.
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taking situation and linking it to a mathematical model. Selecting a strategy that is well suited for the problem at hand.
Adaptive Reasoning – the capacity for logical
thought, reflection, explanation, and justification
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It is the student's ability to be able to explain and justify their answers for a problem that they solved. To justify why they used a specific method for example.
Productive Disposition – the habitual inclination to see mathematics as sensible, useful, and worthwhile, coupled with a belief in diligence and one’s own efficacy
Does mathematics makes sense to the learner, can they relate the concepts to real-life situations.
As the learners continue to understand mathematics, they gain a confidence and become positive in their work. This enables the learners to be able to connect mathematical concepts and problems to real-life situations.