id: 06572089
dt: j
an: 2016c.00194
au: Carlson, Marilyn P.; Madison, Bernard; West, Richard D.
ti: A study of studentsâ€™ readiness to learn calculus.
so: Int. J. Res. Undergrad. Math. Educ. 1, No. 2, 209-233 (2015).
py: 2015
pu: Springer US, New York, NY
la: EN
cc: C45 C35 I15
ut: assessment; precalculus; algebra; placement exam
ci:
li: doi:10.1007/s40753-015-0013-y
ab: 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 25-item multiple-choice 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 studentsâ€™ 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.
rv: