Levels – FLO

Floating And Sinking

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Levels Of Conceptualization And Related Knowledge

Levels Of Conceptualization: Coordination Of Roles Of Object And Immersion Liquid

1. Representation of the phenomenon that does not incorporate the properties of both object and liquid
2. Representation of the phenomenon that incorporates the properties of both object and liquid
3. Representation of the Phenomenon in terms of density of the object but not incorporating density of the immersion liquid.
4. Representation of the Phenomenon in terms of density of the object and density of the immersion liquid.
5. 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.
6. 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’

#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’

#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