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Konzeptuelles und prozedurales Wissen als latente Variablen: Ihre ...

Konzeptuelles und prozedurales Wissen als latente Variablen: Ihre ...

Konzeptuelles und prozedurales Wissen als latente Variablen: Ihre ...

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54 Kapitel 4<br />

Tabelle 3: Definitionen konzeptuellen <strong>und</strong> prozeduralen <strong>Wissen</strong>s.<br />

Quelle <strong>Konzeptuelles</strong> <strong>Wissen</strong> Prozedurales <strong>Wissen</strong><br />

Hiebert &<br />

Lefevre<br />

(1986,<br />

S. 3ff)<br />

Byrnes &<br />

Wasik (1991,<br />

S. 777)<br />

Rittle-<br />

Johnson &<br />

Siegler<br />

(1998,<br />

S. 77)<br />

Rittle-<br />

Johnson &<br />

Alibali (1999,<br />

S. 175)<br />

Haapsalo &<br />

Kadijevich<br />

(2000, S.<br />

141)<br />

Rittle-<br />

Johnson et<br />

al. (2001,<br />

S. 346)<br />

“Conceptual knowledge is characterized<br />

most clearly as knowledge that is rich in<br />

relationships. It can be thought of as a<br />

connected web of knowledge, a network in<br />

which the linking relationships are as<br />

prominent as the discrete pieces of<br />

information. Relationships pervade the<br />

individual facts and propositions so that all<br />

pieces of information are linked to some<br />

network.”<br />

“Conceptual knowledge, which consists of<br />

the core concepts for a domain and their<br />

interrelations (i.e., ‘knowing that’), has been<br />

characterized using several different<br />

constructs, including semantic nets,<br />

hierarchies, and mental models.”<br />

“We define conceptual knowledge as<br />

<strong>und</strong>erstanding of the principles that govern<br />

the domain and of the interrelations between<br />

pieces of knowledge in a domain (although<br />

this knowledge does not need to be explicit).<br />

In the literature, this type of knowledge is<br />

<strong>als</strong>o referred to as <strong>und</strong>erstanding or<br />

principled knowledge.”<br />

“We define conceptual knowledge as explicit<br />

or implicit <strong>und</strong>erstanding of the principles<br />

that govern a domain and of the<br />

interrelations between pieces of knowledge<br />

in a domain.”<br />

“Conceptual knowledge denotes knowledge<br />

of and skilful ‘drive’ along particular<br />

networks, the elements of which can be<br />

concepts, rules (algorithms, procedures,<br />

etc.), and even problems […] given in<br />

various representational forms.”<br />

“We define conceptual knowledge as implicit<br />

or explicit <strong>und</strong>erstanding of the principles<br />

that govern a domain and of the<br />

interrelations between units of knowledge in<br />

a domain. This knowledge is flexible and not<br />

tied to specific problem types and is<br />

therefore generalizable. Furthermore, it may<br />

or may not be verbalizable. To assess<br />

conceptual knowledge, researchers use<br />

novel tasks, such as counting in<br />

nonstandard ways or evaluating unfamiliar<br />

procedures. Because children do not<br />

already know a procedure for solving the<br />

task, they must rely on their knowledge of<br />

relevant concepts to generate methods for<br />

solving the problems.”<br />

“Procedural knowledge consists of rules,<br />

algorithms, or procedures used to solve<br />

mathematical tasks. A key feature of<br />

procedures is that they are executed in a<br />

predetermined linear sequence. It is the<br />

clearly sequencial nature of procedures that<br />

probably sets them most apart from other<br />

forms of knowledge. […]<br />

The procedures we are describing can be<br />

characterized as production systems<br />

(Anderson, 1983, Newell & Simon, 1972) in<br />

that they require some sort of recognizable<br />

input for firing.”<br />

“Procedural knowledge, on the other hand,<br />

is ‘knowing how’, or the knowledge of the<br />

steps required to attain various go<strong>als</strong>.<br />

Procedures have been characterized using<br />

such constructs as skills, strategies,<br />

productions, and interiorized actions.”<br />

“We define procedural knowledge as action<br />

sequences for solving problems. In the<br />

literature, this type of knowledge is<br />

sometimes referred to as skills, algorithms,<br />

or strategies.”<br />

“We define procedural knowledge as action<br />

sequences for solving problems.”<br />

“Procedural knowledge denotes dynamic<br />

and successful utilization of particular rules,<br />

algorithms or procedures within relevant<br />

representational form(s). This usually<br />

requires not only the knowledge of the<br />

objects being utilized, but <strong>als</strong>o knowledge of<br />

format and syntax for the representational<br />

system(s) expressing them.”<br />

“We define procedural knowledge as the<br />

ability to execute action sequences to solve<br />

problems. This type of knowledge is tied to<br />

specific problem types and therefore is not<br />

widely generalizable. To assess procedural<br />

knowledge researchers typically use routine<br />

tasks, such as counting a row of objects or<br />

solving standard arithmetic computations,<br />

because children are likely to use previously<br />

learned step-by-step solution methods to<br />

solve the problems.”

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