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PTs' robust symbol precedence view presents great challenges for methods courses that aim to develop SCK.
We have obtained greater success in supporting PTs' meaningful explanations but less success in representational sequence, likely due to PTs' robust symbol precedence view.
Another interpretation of the representational difficulties may be attributed to PTs' robust symbol precedence view, which may have hindered PTs' representational uses.
Second, because PTs lacked the ability and habit to explain quantitative relationships based on concrete contexts, this study has identified PTs' robust symbol precedence view.
At the end of the course, the majority of PTs were able to generate number sentences based on the word problem structures and provided reasonable explanations; however, the methods course also faced dilemmas due to PTs' robust symbol precedence view and the tension between PTs' learning and children's learning.
The collective phenomenon of Internet search behavior is unlikely to be consciously manipulated by a single user and can be a meaningful, robust symbol of human behaviors or disease patterns across large populations.
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Big sporting events and spectacles might give the national morale a shot in the arm, but they are too transient and taste-specific to stand as robust symbols of nationhood.
Many discussions of the symbolic/non-symbolic dichotomy employ a more robust notion of "symbol".
If we employ this more robust notion of symbol, then the symbolic/non-symbolic distinction cross-cuts the distinction between Turing-style computation and neural network computation.
On the more robust approach, a symbol is the sort of thing that represents a subject matter.
Painted in one of the bowls are two jolly spotted cows (one upside down) standing over a central pool, all encircled by lotus leaves; in another, four robust tilapia fish, symbols of rebirth, swim around a central pool, each carrying a lotus stem in its mouth.
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