Within the framework of comprehensive research that has been done on
the mathematics achievement of first-year university students, research
literature contains relatively few studies concerning the prediction of the
mathematics achievement of final year students.
An ex post facto empirical study was undertaken to rectify this situation
to some extent.
The aims of this study were:
• To develop prediction models with which to predict the mathematics
achievement of third-year students at the PU for CHE.
• To develop a prediction analysis for continuous data by means of
which the mathematics achievement of third-year students can be
predicted in terms of a pass/fail dichotomy by using the fundamentals
of Boolean algebra.
• To determine, as a secondary aim, the differential influence of several
independent variables on the mathematics achievement of male and
female students in their third year.
Of the set of independent variables in this study, five indicated previous
achievement, 10 were aptitude variables (including an estimated IQ score)
and 21 were measures of different interests, while a measure of the algebraic
preparedness of prospective mathematics students on the PU for
CHE was also included. The mathematics achievement of students at the
end of the first semester of the first year was used in part of the investigation
as an independent variable.
Four criteria were defined to quantify the mathematics achievement of
students at the PU for CHE. In three of these, unsuccessful attempts
to obtain a pass in mathematics courses were taken into consideration.
The aptitude variables in this study were measured with the Senior
Aptitude tests (Human Sciences Research Council), the 19-Field Interests
Questionnaire (Human Sciences Research Council) and the algebraic
preparedness of students was measured by means of a 60-item multiplechoice
test developed by this researcher and of which measures of validity
and reliability were reported.
The data of two groups of subjects considered as study populations, were
used in the study. The group of first-year students following mathematics
courses for the first time in 1982 was employed as an experimental group.
Of the 154 first-year students in this group, 58 were able to advance
to the third year and wrote the examination in least one mathematics
course in that year. The class of first-year students registered for
mathematics courses for the first time in 1983 was used as a crossvalidation
group in order to validate the prediction models. This group
consisted of 138 students, of which 54 advanced to the third year.
Six hypotheses were examined in this study by means of several statistical
techniques. By means of singular correlations it was shown that certain
independent variables exerted a bigger influence on the mathematics
performance of third-year students than others and that the correlations
of some independent variables with mathematics achievement decreased
from the first year to the third year. Regarding other variables, the
opposite tendency was found.
By means of factor, regression, discriminant and Boolean analysis, it
was further found that the mathematics achievement of male and female
students on the third year level was influenced differently by independent
variables. The hypothesis that a higher percentage of the variance
of mathematics performance in the case of females than that of males
can be accounted for, could not be accepted for all criteria of mathematics
achievement.
The validity of prediction models could also not be accepted for all criteria
of mathematics performance, even if the mathematics achievement of
students at the end of the first semester in the first year was included as
an independent variable in the regression analysis.
Finally it was found that prediction models for the pass/fail dichotomy
for mathematics achievement, developed by means of Boolean analysis,
were on the average more successful in terms of validity than the
discriminant functions developed by using discriminant analysis. This
result indicated a promising future for the use of Boolean analysis in the
prediction of academic achievement. / Proefskrif (DEd)--PU vir CHO, 1988
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:nwu/oai:dspace.nwu.ac.za:10394/9408 |
| Date | January 1988 |
| Creators | Van Wyk, Christiaan Kuhn |
| Publisher | Potchefstroom University for Christian Higher Education |
| Source Sets | South African National ETD Portal |
| Language | other |
| Detected Language | English |
| Type | Thesis |
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