Levels – PEN
The Period Of The Pendulum
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Levels Of Conceptualization And Related Knowledge
Levels Of Conceptualization
- [1] Representation of the phenomenon which does not include length of string as a relevant factor
- [2] Representation of the phenomenon which incorporates but does not isolate the effect of the length of string
- [3] Discovery of positive covariation between length of string and period (i.e. as length of string increases — period increases)
- [4] Discovery that length of string is the only factor that covaries with the period
- [5] Representation of linear relationship between length of string and period
- [6] Discovery of non-linearity of relationship between length of string and period
- [7] Unsuccessful attempt to formulate a mathematical representation of a non-linear relationship between string length and period
- [8] Successful mathematical representation of a non-linear relationship between string length and period [e.g. period proportional to square root of length, T (time) = approximately 2 * the square root of the length]
RELATED KNOWLEDGE
`K1′ – Knowledge Related to Period of the Pendulum
#1-Measurement of Time:
- [0] DOES NOT FORMALLY1 MEASURE TIME
- [1] USES AN INSTRUMENT TO MEASURE TIME
- [2] USES MEASUREMENT INSTRUMENT CORRECTLY AND EXPRESSES THE UNITS OF MEASUREMENT CORRECTLY
1FORMALLY = using a measurement instrument
`K1′ – Knowledge Related to Period of the Pendulum
#2-Measurement of Distance:
- [0] EYES DISTANCES
- [1] USES A MEASUREMENT INSTRUMENT
- [2] USES MEASUREMENT INSTRUMENT CORRECTLY AND EXPRESSES THE UNITS OF MEASUREMENT CORRECTLY
- `K1′ – Knowledge Related to Period of the Pendulum
#3-Ratio – Theoretical Knowledge
- [0] DOES NOT MENTION “RATIO(S)”
- [1] USES THE TERM “RATIO”
#4-Ratio – Practical Knowledge
- [0] DOES NOT FORMULATE RATIOS
- [1] FORMULATES RATIOS
`K1′ – Knowledge Related to Period of the Pendulum
#5- Proportions – Theoretical Knowledge
- [0] DOES NOT MENTION PROPORTIONS
- [1] USES THE TERM “PROPORTIONS”
#6-Proportions – Practical Knowledge
- [0] DOES NOT FORMULATE PROPORTIONS
- [1] FORMULATES PROPORTIONS