Levels – PEN

The Period Of The Pendulum

Download as PDF

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
Social media & sharing icons powered by UltimatelySocial