Levels of Conceptualization - FLO

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FLOATING AND SINKING

LEVELS OF CONCEPTUALIZATION and RELATED KNOWLEDGE

LEVELS OF CONCEPTUALIZATION: COORDINATION OF ROLES OF OBJECT AND IMMERSION LIQUID

[0]    Representation of the phenomenon that does not incorporate the properties of both object and liquid

[1]    Representation of the phenomenon that incorporates the properties of both object and liquid

[2]    Representation of the Phenomenon in terms of density of the object but not incorporating density of the immersion liquid.

[3]    Representation of the Phenomenon in terms of density of the object and density of the immersion liquid.

[4]    Representation of the Phenomenon in terms of an unspecified or incorrect relationship between the density of the object and the density of the immersion liquid.

[5]    Representation of the phenomenon in terms of a correct mathematical relationship between densities [i.e. An object will float if its density is less than the density of the fluid in which it is immersed]

RELATED KNOWLEDGE

`K2' - Knowledge Related to Floating and Sinking (FLO)

#1-Measurement of Weight:

[0]    DOES NOT FORMALLY MEASURE WEIGHT

[1]    USES MEASUREMENT INSTRUMENT

[2]    USES MEASUREMENT INSTRUMENT CORRECTLY AND EXPRESSES THE UNITS OF MEASUREMENT CORRECTLY

#2- Volume -- Nominal Knowledge

[0]    DOES NOT SPONTANEOUSLY USE THE TERM `VOLUME'

[1]    SPONTANEOUSLY USES THE WORD `VOLUME'

#3- Measurement of Volume - Solid

[0]    DOES NOT FORMALLY MEASURE VOLUME OF SOLIDS

[1]    USES AN INSTRUMENT TO MEASURE VOLUME OF SOLIDS

[2]    USES A CORRECT FORMULA TO MEASURE VOLUME OF SOLIDS

#4- Measurement of Volume - Liquid

[0]    DOES NOT FORMALLY MEASURE VOLUME OF LIQUIDS

[1]    USES AN INSTRUMENT TO MEASURE VOLUME OF LIQUIDS

[2]    USES A CORRECT FORMULA TO MEASURE VOLUME OF LIQUIDS

`K2' - Knowledge Related to Floating and Sinking

#5-Knowledge of Ratio - Nominal

[0] DOES NOT SPONTANEOUSLY USE THE TERM `RATIO'

[1]    SPONTANEOUSLY USES THE TERM `RATIO'

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#6-Knowledge of Ratio - Functional

[0] DOES NOT FORMULATE RATIOS

[1] FORMULATES RATIOS

`K2' - Knowledge Related to Floating and Sinking

#7-Knowledge of Proportions - Nominal

[0] DOES NOT SPONTANEOUSLY MENTION `PROPORTIONS'

[1] SPONTANEOUSLY USES THE TERM `PROPORTION/S'

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#8-Knowledge of Proportions - Functional

[0] DOES NOT FORMULATE PROPORTIONS

[1] FORMULATES PROPORTIONS

D2 - Floating and Sinking (FLO) continued

#9. Density of the Object

[0]     NO CONCEPT OF DENSITY APPLIED TO TASK OBJECTS

[1]     INTUITIVE NOTION OF DENSITY (This is typically expressed by subjects as `weight' but is actually s an undifferentiated amalgam of mass and volume)

[2]    MASS AND VOLUME DIFFERENTIATED BUT INADEQUATELYU CONCEPTUALIZED (mass is typically expressed as `weight' and volume as `size' or `surface area')

[3]    MASS AND VOLUME DIFFERENTIATED AND ADEQUATELY CONCEPTUALIZED

[4]    MASS AND VOLUME INTEGRATED AS ATTRIBUTES OF OBJECTS BUT NOT EXPRESSED MATHEMATICALLY

[5]    RELATIONSHIP OF MASS AND VOLUME EXPRESSED MATHEMATICALLY BUT NOT AS A RATIO

[6]    RELATIONSHIP OF MASS AND VOLUME CONCEPTUALIZED AS A RATIO

[7]    DENSITIES OF OBJECTS CALCULATED AS RATIOS OF MASS AND VOLUME

D2 - Floating and Sinking (FLO) continued

#10 Density of the Liquid

[0] NO CONCEPT OF DENSITY APPLIED TO TASK LIQUIDS

[1]     INTUITIVE NOTION OF DENSITY (This is typically expressed by subjects at this level as `weight' but is actually is an undifferentiated amalgam of mass and volume)

[2]    MASS AND VOLUME DIFFERENTIATED (mass is typically expressed by subjects at this level as `weight' and volume as `size')

[3]    MASS AND VOLUME INTEGRATED AS ATTRIBUTES OF LIQUIDS BUT NOT EXPRESSED MATHEMATICALLY

[4]    RELATIONSHIP OF MASS AND VOLUME EXPRESSED MATHEMATICALLY BUT NOT AS A RATIO

[5]    RELATIONSHIP OF MASS AND VOLUME CONCEPTUALIZED AS A RATIO

[6]    DENSITIES OF LIQUIDS CALCULATED AS RATIOS OF MASS AND VOLUME

`K2' - Knowledge Related to Floating and Sinking

#11-Knowledge of Density - Nominal

[0]    DOES NOT SPONTANEOUSLY USE THE WORD DENSITY

[1]    SPONTANEOUSLY USES THE WORD DENSITY

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