The Karplus Islands Puzzle: Does it measure piagetian operations?

Blake, Anthony; Lawson, Anton E.; Nordland, Floyd H.

doi:10.1002/tea.3660130503

Cited by 8 publications

(11 citation statements)

References 6 publications

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“…The belief that the metal cylinders task measures early formal reasoning and that it fits nicely within the framework of both Piagetian conservation tasks and his formal-operations tasks has been supported empirically in at least three instances (Lawson & Nordland, 1976;Lawson & Renner, 1974, 1975. The Lawson and Nordland (1976) article displays this with particular clarity in that a series of eight conservation tasks, including the volume with deformed pieces of clay and the metal cylinders task were found to scale nicely along a concrete to early formal-operational reasoning dimension.…”

Section: The Metal Cylinders Taskmentioning

confidence: 96%

“…There is no disagreement with the authors (Blake, Lawson, & Nordland, 1976) when they state that Piagetian-related instruments arc needed for teacher use in assessing the intellectual level of students, but the "noise" alluded to in the article will not dissipate if such instruments contain tasks which test for memorized content, or if teachers are directed to assign total scores to a collection of highly diverse tasks. Such scores will not indicate how best to approach a given topic with a particular student since the assignment of total scores effectively (and as always) conceals individual differences.…”

Section: Pp 310-329)mentioning

confidence: 98%

“…It is curious that the above authors (Blake, Lawson, & Nordland, 1976) cite The Child's Conception of Geometry (Piaget, Inhelder, & Szeminska, 1960) as a reference for their metal cylinders task. Chapter 9 of this book (titled "The Conservation and Measurement of Volume") includes no reference to metal cylinders.…”

Section: Volume Using Metal Cylindersmentioning

confidence: 99%

“…The authors of the paper under discussion (Blake, Lawson, &, Nordland, 1976) have also provided "total scores" for their set of tasks. Perhaps an examination of what their tasks are testing is appropriate.…”

Section: Pp 310-329)mentioning

confidence: 99%

“…

The Karplus Islands Puzzle Clue 3 is then presented and Question 2 is asked (i.e., "Is it possible to travel between Fish and Bird?

…”

mentioning

confidence: 99%

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The Karplus Islands puzzle, volume with metal cylinders, and other problems

Phillips

1977

J Res Sci Teach

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A question has been raised (Blake, Lawson, & Nordland, 1976) as to the appropriateness of using the Karplus Islands Puzzle as an instrument to assess formal-operational thought. Such questions need to be asked about many of the socalled "tasks" currently found in the literature.The Karplus Islands Puzzle Clue 3 is then presented and Question 2 is asked (i.e., "Is it possible to travel between Fish and Bird?").Given both p and 4 as true, the subject must now determine the value of s in addition to recognizing that the value of s is independent of the value of r (i.e., s[r]). In effect, the operation of implication is employed again in the form ( p 4) 3 s.Finally, Question 3 is asked (i.e., "Is it possible to travel between Fish and Snail?"), and the subject must determine the value of t based on p . 4, and i, or (p ' 4 + 7) 3 t, F, or neither. This implication is a beginning, but the correct solution is most often derived from the reciprocal operation (i.e., converse implication) by employing the following sequence: if t were true than p , 4, and r must be true, or t 3 (pa 4. r). But r is given as not-r @); therefore, t cannot be true, or (p . 4. P) 3 7.Additional operations may be employed. For example, some individuals recognize a form of equivalence (i.e., r and t must share the same value, either F and T, or r and t). The 361 3).

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Section: The Metal Cylinders Taskmentioning

confidence: 96%

Section: Pp 310-329)mentioning

confidence: 98%

Section: Volume Using Metal Cylindersmentioning

confidence: 99%

Section: Pp 310-329)mentioning

confidence: 99%

“…

The Karplus Islands Puzzle Clue 3 is then presented and Question 2 is asked (i.e., "Is it possible to travel between Fish and Bird?

…”

mentioning

confidence: 99%

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The Karplus Islands puzzle, volume with metal cylinders, and other problems

Phillips

1977

J Res Sci Teach

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The relationship between cognitive functioning level and understanding of the heterotroph hypothesis

Glass

1981

Science Education

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A causal model of students' achievement in a college physics course

Champagne

Klopfer

1982

J Res Sci Teach

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To explain students' achievement in the mechanics segment of a college physics course, a causal model is proposed whose variables are the three constructs: Newtonian physics, math ability, and science experience. Each variable specifies several variates, whose numerical values were measured and intercorrelations computed. The Factorial Modeling (FaM) procedure is applied to the data to estimate the coefficients of the proposed model's structural equations. The FaM results indicate that the model is plausible and that its first two variables account for approximately 34% of the variance in the criterion variate, students' mechanics achievement. The implications of the findings for physics instruction are discussed.

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The Karplus Islands Puzzle: Does it measure piagetian operations?

Cited by 8 publications

References 6 publications

The Karplus Islands puzzle, volume with metal cylinders, and other problems

The Karplus Islands puzzle, volume with metal cylinders, and other problems

The relationship between cognitive functioning level and understanding of the heterotroph hypothesis

A causal model of students' achievement in a college physics course

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