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Summary PST201F EXAM PREP
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PST201F EXAM PREP AND SUMMARIES
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PST201F – Exam answers.1. Explain why relational understanding has a far greater potential for promoting
reflective thinking than instrumental understanding.
Effective learning of new concepts and procedures
Less to remember
Increased retention and recall
Enhanced problem-solving abilities
Improved attitudes and beliefs
2. “A person’s understanding exists along a continuum”. Briefly discuss this statement.
Relational (Knowing what to do and why) and instrumental understanding (Doing without
understanding)
3. Relational / Instrumental
Relational: is an understanding of what to do and why. All concepts are in a connected network.
When a learner reconstructs a concept, all the other related concepts are understood and can
be easily reconstructed.
Instrumental: is on the opposite side of the continuun of understanding. This is also called
doing without real understanding. The ideas are isolated, and cannot be connected to other
ideas. Instrumental understanding is related to rote learning.
4. Assimilation:
New concept fits in with new ideas.
3b. Accommodation:
Accommodation is when the new info does not fit in with existing info so it replaces or revamps
it.
5. What does it mean to say that a task has multiple entry points?
A problem where different strategies can be used to find a solution, is called a problem with
multiple entry points.
6. Give two reasons why we should teach through problem solving?
Focuses students’ attention on ideas and sense making
Develops student confidence that they are capable of doing maths and that it makes
sense
Provides a context to help students build meaning for the concept
Allows an entry point for a wide range of students
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