
06572089
j
2016c.00194
Carlson, Marilyn P.
Madison, Bernard
West, Richard D.
A study of students' readiness to learn calculus.
Int. J. Res. Undergrad. Math. Educ. 1, No. 2, 209233 (2015).
2015
Springer US, New York, NY
EN
C45
C35
I15
assessment
precalculus
algebra
placement exam
doi:10.1007/s407530150013y
Summary: The Calculus Concept Readiness (CCR) instrument assesses foundational understandings and reasoning abilities that have been documented to be essential for learning calculus. The CCR Taxonomy describes the understandings and reasoning abilities assessed by CCR. The CCR is a 25item multiplechoice instrument that can be used as a placement test for entry into calculus and to assess the effectiveness of precalculus level instruction. Results from administering the CCR to first semester calculus students at the beginning of the semester revealed severe weaknesses in students' foundational knowledge and reasoning abilities for learning calculus. Correlating CCR results with course grades revealed that students with higher CCR scores are better prepared to succeed in beginning calculus. The CCR data further identified specific ways of thinking and concepts for which precalculus instruction could be improved to influence student learning and preparation for calculus.