Calculus Concept Readiness (CCR)

Developed by Marilyn P. Carlson, Bernard Madison, Richard D. West

Purpose To assess the effectiveness of precalculus level instruction (developed for math classes, but can be used in physics) or to be used as a placement test for entry into calculus.
Format Multiple-choice
Duration 30-45 min
Focus Mathematics Content knowledge (function concept, trignometric functions, exponential functions)
Level Graduate, Upper-level, Intermediate, Intro college

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Example CCR questions from Carlson et al 2015.

RESEARCH VALIDATION
Gold Star Validation
This is the highest level of research validation, corresponding to all seven of the validation categories below.

Research Validation Summary

Based on Research Into:

  • Student thinking

Studied Using:

  • Student interviews
  • Expert review
  • Appropriate statistical analysis

Research Conducted:

  • At multiple institutions
  • By multiple research groups
  • Peer-reviewed publication

The questions the CRR were developed based on a taxonomy of topics that a group of experts found important to assess. The multiple-choice answer choices on the CCR were developed based students interview responses to open-ended questions and tested with subsequent student interviews. The CCR was given to over 600 students at four universities, and appropriate statistical analyses of reliability and validity were conducted and reasonable values found for each. CCR results are published in one peer-reviewed article. 

References

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