| Memorization | Procedures without Connections | Procedures with Connections | Doing Mathematics | What's the Level of Demand? |
|---|---|---|---|---|
|
True or False
Memorization tasks require the use of algorithms or procedures to solve them.
False.
Tasks at the memorization level involve using previously learned facts, rules, formulae, or definitions. |
True or False
Tasks at the procedures without connections level do not require in depth explanations.
True.
Tasks at this level require no explanations or simple explanations that focus on describing the procedure that was used. |
True or False
Procedures with connections tasks can often be represented in multiple ways.
True.
Tasks at this level can be represented using visual diagrams, manipulatives, symbols, or problem situations. Connecting these different representations helps develop meaning. |
True or False
Tasks that are at the doing mathematics level can be solved using algorithms or explicit approaches.
False.
Doing mathematics tasks require complex, non-algorithmic thinking. There are not explicit pathways or predictable approaches suggested in the problem. |
|
|
Is the following a doing mathematics task?
Megan is putting new carpet in her bedroom, which is 15 feet long and 10 feet wide. How many square feet of carpet will Megan need?
No.
This would be a procedures with connections task because a general procedure must be followed but the student must come up with this procedure on their own, creating some cognitive effort. This problem can also be shown using multiple representations. |
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