id: 05264368
dt: j
an: 2008a.00325
au: Adjiage, Robert; Pluvinage, François
ti: An experiment in teaching ratio and proportion.
so: Educ. Stud. Math. 65, No. 2, 149-175 (2007).
py: 2007
pu: Springer Netherlands, Dordrecht
la: EN
cc: F83 F43 D43
ut: magnitude; quantity; ratio; proportionality; rational number; fraction;
number line; double scale; learning and teaching in secondary school;
grade 6; grade 7;
ci:
li: doi:10.1007/s10649-006-9049-x
ab: Summary: This paper summarizes our analysis of the complexity of ratio
problems at Grades 6 and 7, and reports a two-year experiment related
to the teaching and learning of rational numbers and proportionality in
these grades. Two classes were followed and observed. Part of the
teaching material was common to both classes, mainly the objectives and
the corpus of ratio problems in a physical context. But in one class,
here called “Partial-experiment”, the learning environment was
exclusively a paper-pencil one and the teacher followed his usual
method in designing and conducting teaching sequences. In the other
class, here called “Full-experiment”, the teaching was based on a
framework, emerging from our analysis of complexity of ratio problems,
involving precise guidelines and a specific computer environment. Using
a pre-test and a post-test, we observed clear progress in both classes
compared to a sample of “standard” pupils. Our comparative
pupil-oriented study indicates more complete improvement in the
“full-experiment” class, i.e., a better acquisition of fractions
and their use for solving usual proportionality problems. The average
pupil’s progress is greater in the “full experiment”, with the
pupils who were initially high- or low-level attainers benefiting the
most from the “full-experiment”.
rv: