Predictors of Overall Performance in Physics Matric Advanced Level: An insight into entry requirements
Abstract: Predicting the future performance of a student based on the past performance is no easy task. Developing such a tool would enable Colleges and Universities as well as other institutions to spend their resources more wisely. This study is an attempt to use the Physics SEC result as a predictor for performance at Physics Matric Advanced level. Furthermore, five college-based assessment results taken during the students’ two year course are also employed as predictors. The study shows that the number of females pursuing the study of Physics at Advanced level is rather low when compared to the males. More significantly, all the assessment tools examined are modest predictors of performance. The Physics SEC result does give a rough indication of Matric performance. However, achieving a bad grade at SEC level is not a barrier towards achieving a good result at Matric level. This means that making the Physics Matric course more stringent is not the way to making it better.
‘jacqueline-pace’, ‘louisella-bonello’
© Publications Committee, Faculty of Education, 2007 University of Malta, Msida, Malta MSD06 ISSN 1726-9725
Jacqueline Pace
jacqueline.pace@um.edu.mt
Jacqueline Pace graduated in Education in 1991 specialising in Biology and Physics. For the
last twelve years she has lectured in Physics at the University Junior College. Before, she
taught Physics at the State Sixth Form as well as Physics and Biology at Area Secondary
Schools and Junior Lyceums. She is currently involved in studying certification issues in the
context of low-achieving students.
Louisella Bonello
louisella.bonello@um.edu.mt
Louisella Bonello is a graduate of the Faculty of Education, University of Malta, and holds
an Honours degree in Education, specializing in Physics. After a short stint teaching Physics
at Secondary level, Louisella moved to the G.F. Abela Sixth Form, where she taught Physics
at Advanced level. Louisella has been an examiner of the Ordinary Level Physics Matric
Exam for the past seven years. She attends annual conferences appositely designed for
teachers of Physics as well as others targeting researchers in Physics. She currently holds the
post of Asst Lecturer in Physics at the University Junior College, where she has been
lecturing since the College’s inception.
Abstract:
Predicting the future performance of a student based on the past performance is no
easy task. Developing such a tool would enable Colleges and Universities as well
as other institutions to spend their resources more wisely. This study is an attempt
to use the Physics SEC result as a predictor for performance at Physics Matric
Advanced level. Furthermore, five college-based assessment results taken during
the students’ two year course are also employed as predictors. The study shows
that the number of females pursuing the study of Physics at Advanced level is rather
low when compared to the males. More significantly, all the assessment tools
examined are modest predictors of performance. The Physics SEC result does give
a rough indication of Matric performance. However, achieving a bad grade at SEC
level is not a barrier towards achieving a good result at Matric level. This means
that making the Physics Matric course more stringent is not the way to making it
better.
Vol:4 No.2 2006 37 53
http://www.educ.um.edu.mt/jmer
Predictors of Overall Performance in
Physics Matric Advanced Level:
An insight into entry requirements
Introduction
The main thrust behind this short study is to determine the best predictors of
performance and success in Physics Advanced level, if there are any. This is very
useful information to any educational institution because once a valid set of predictors
is identified these may be employed for a variety of uses, depending on how
sophisticated they are. First of all, predictors may be used to direct students in the
choice of subjects that they undertake for their studies. They may be used to identify
students who may have problems in making the grade early on such that remedial
action may be taken. Good predictive criteria may also be used to point out the
‘gifted’ such that they may be provided with challenges to their learning. The
analysis of students’ performance over a period of time may also be a good
performance indicator of the educational institution, in our case the Junior College.
Finally, the main aim for such an analysis was driven by a belief that the present entry
requirements at the Junior College are not providing proper guidance to the entrants in
their choice of subjects.
1. Setting
At the end of secondary schooling students sit for external examinations that, apart
from accrediting the students, provide access to post-secondary schooling. One of
Malta’s post-secondary academic institutions is the University Junior College. It was
set up in 1995 and caters for those students aiming at tertiary education within the
University itself (Junior College, 2000a).
At Secondary level, students have to make choices of curriculum subjects according
to their abilities, skills and career orientation. They may seek vocational advice from
their subject teachers and, particularly, from school guidance teachers (Education
Division, 2000). As they start their fifth year, secondary students have to take
decisions that are mostly related to the external examinations that they intend to sit for
at the very end of their compulsory schooling. A variety of examination-related
decisions have to be made, such as: which examinations are required to further their
education; what special requirements are needed to follow particular post-secondary
courses; which SEC (Secondary Education Certificate) examination differentiated
paper, A or B, should be attempted (Pace, 2002b).
The entry requirements at the Junior College have ever since its inception been six
passes in the Secondary Education Certificate (SEC) Examination at least at Grade 5
or equivalent (Junior College, 2000b). Around 90% of Junior College entrants
present Physics as their Science requirement (Pace, 2002b). Junior College study
course is based on two academic years during which the students follow 2 A Levels, 3
Intermediates and Systems of Knowledge (Junior College, 2000b).
In the context of mass higher education, the number of students opting to continue
their post-secondary studies is always on the increase. The most challenging aspect
of mass education is that the College had to remodel itself from one catering for the
country’s narrow top ability students to a more comprehensive one which
accommodates students with differing abilities. This brings about additional problems
especially as regards choice of subjects. While a ‘gifted’ student is generally able to
deal with a wrong choice of subject and maybe redirect him/herself in good time, an
average candidate may find that making a wrong choice leads inevitably to a complete
failure in higher education. Proper guidance needs to be provided both at the feeder
schools and during the critical phase of the summer months prior to entry at the Junior
College so that the students may make well-informed choices and also during their
first year if any change of subjects need to be made.
2. Aims
Casual observations of students’ performance in successive year groups suggested
that a good number of Physics students were not doing as well as one would desire.
This trend is immediately uncovered by the low performance in informal tests that the
Physics lecturers set their students and by the considerable proportion of first year
students that have to sit for the Resit due to failure in obtaining a score of more than
45%, in the formal end-of-first-year test.
These insights, together with other research findings, have helped this study in
clarifying the broad issue of performance in Physics Matric Level by addressing it
through more specific research questions.
1. How valid is the Physics SEC examination as a predictor of performance
in the Junior College Advanced Physics Course and in Matric (Advanced)
examination?
2. How valid is the performance in both formal and informal assessments as a
predictor of overall performance in Matric?
3. Are there any significant differences in performance related to gender and
to the SEC differentiated paper?
4. In the light of the evidence from research questions 1 to 3, should the entry
requirements for Physics A level course be more stringent?
3. Methodology and Sample
In order to seek answers for the research questions the College Physics data were
coupled with the MATSEC (Matriculation and Secondary Examinations) data. The
merging of the data and the relevant statistical analyses were carried out using SPSS.
The sample consisted of the SEC 1999 and 2001 fresher students who finished their
studies at the Junior College and sat for the 2000 and 2002 Advanced level Matric
session respectively. This sample also included a number of students who had started
the course in the year 1999 and 1998, and had repeated the first year. The sample of
students who have completed their studies in 2000 will be referred to as the 2000
cohort; while those that completed their studies in 2002 will be referred to as the 2002
cohort. Various filters were used in SPSS to ensure that the data was compared on a
like-with-like basis.
Table 1 shows that there are more boys than girls undertaking the papers and
assessments in Physics. For the 2000 cohort the distribution by paper choice was not
available, although informal analysis yielded a similar balance. The 2002 cohort
distribution shows that there is a larger proportion of students who had chosen paper
A rather than paper-B. The very low number of female, paper-B students must
however stand out as they constitute only about 12% as opposed to the more than 20%
of males.
Table 1. Matric Sample Distribution by gender and SEC paper choice
Gender Male Female Total 2000 Cohort SEC Paper 1998 (sample by paper choice not available)
96 63 159
A 83 43 126
SEC Paper 1999^ 2002 Cohort B^^21 6 27
Total 104 49 153
Total 200 112 312
Besides using the MATSEC data for Matric and SEC, other Junior College internal
data was used. The students’ five assessment marks were entered in the data. These
are divided into two: the first three Assessments take place in the First Year, while the
last two are for the Second Year. These assessment exercises are all lecturer-based
and no attempt at harmonisation is actually in place. The lecturers thus use various
assessment tools such as homework, tests, projects and assignments. The data was
also supplemented by the end-of-first-year test which is a very important test for the
Junior College in that it influences the promotion of students to the Second Year.
There are many different analyses that have been carried out and are being presented
here. All the assessment tools were correlated against each other to find out degrees
of commonality using Pearson product-moment correlation index. The data was also
analysed for gender and SEC paper choice differences using Independent Samples t
test and chi-square tests. Furthermore, the data was recoded into two new groupings,
mainly SEC ability groups and Matric ability groups. For the SEC ability groups, the
data was divided into the top ability (grades 1, 2 and 3) and the bottom ability (4 and
5) (sic). Similarly, the Matric ability group consisted of top ability (grades A, B and
C) and bottom ability (D, E and F) candidates (sic). These groupings permit better
contrasting of data such that differences in performance are sharpened and so
conclusions assume higher validity. Each of the statistical tests used, as mentioned
below, were set to test the null hypothesis at 2-tail significance so as to ensure a more
rigorous statistic.
4. Results
In this part of the study the data analysed is presented systematically using tables and
appropriate figures to outline the main findings. The data is organised into different
groupings, namely according to the differentiated paper chosen at SEC level and by
gender. Furthermore, ability groups have also been created to provide better contrast
between high and low achievers; both for SEC grades as well as for Matric grades.
5.1 Relationship between Different Assessment and Performance
Components
Table 2 shows that the assessments that students have been subjected to as from their
SEC examination (1999, 2000) to their Matriculation in Physics (2000, 2002) do not
show great similarity. Although all the scores, except one, show significant positive
correlation amongst themselves, these differences are not so marked.
Table 2. Product–Moment Correlation Coefficients between Assessment Scores and Examination Grades for A level students 1st Year Assessments1st Year Assessments1st Year Assessments1st Year Assessments 2222
ndndndnd (^) YearYearYearYear AAAAssessmentsssessmentsssessmentsssessments 2000 Cohort2000 Cohort 2000 Cohort2000 Cohort Grades andGrades andGrades andGrades and ScoresScoresScoresScores SECSECSECSEC SECSECSECSEC 1.000 1111 1111 0.472 1.000 2222 2222 0.343 0.508 1.000 3333 3333 0.370 0.552 0.671 1.000 End ofEnd ofEnd ofEnd of First YearFirst YearFirst YearFirst Year TestTestTestTest 1111 stststst YearYearYearYear AssmtAssmtAssmtAssmt TestTestTestTest 0.540 0.459 0.404 0.564 1.000 4444 4444 0.364 0.439 0.181* 0.443 0.544 1.000 5555 2222 ndndndnd YearYear YearYear AssmtAssmtAssmtAssmt^5555 0.420^ 0.436^ 0.413^ 0.555^ 0.606^ 0.583^ 1.000 MatricMatricMatricMatric A levelA levelA levelA level 0.488^ 0.443^ 0.378^ 0.497^ 0.708^ 0.545^ 0.630 1st Year Assessments1st Year Assessments1st Year Assessments1st Year Assessments 2222 ndndndnd (^) YearYearYearYear AssessmentsAssessmentsAssessmentsAssessments 2002 Cohort2002 Cohort 2002 Cohort2002 Cohort Grades andGrades andGrades andGrades and ScoresScoresScoresScores SECSECSECSEC SECSECSECSEC 1.000 1111 1111 0.416 1.000 2222 2222 0.244 0.627 1.000 3333 3333 0.151NS^ 0.498 0.634 1.000 End ofEnd ofEnd ofEnd of First YearFirst YearFirst YearFirst Year TestTestTestTest 1111 stststst YearYearYearYear AssmtAssmtAssmtAssmt TestTestTestTest 0.422 0.315 0.348 0.299 1.000 4444 4444 0.354 0.349 0.306 0.272 0.382 1.000 5555 2222 ndndndnd YearYear YearYear AssmtAssmtAssmtAssmt^5555 0.296^ 0.423^ 0.388^ 0.382^ 0.372^ 0.574^ 1.000 MatricMatricMatricMatric A levelA levelA levelA level 0.442^ 0.463^ 0.393^ 0.318^ 0.550^ 0.415^ 0.617 One r-value marked NS^ is not significant. Another one marked * is significant to the 0.05 level. All other r-values are significant at the 0.01 level
In general, the correlation values, albeit significant, are all rather low values. Few of
these assessment tools correlate well with each other. The SEC exam correlates more
with other summative-type assessments namely the Matric and the End of First Year
test than it does with any of the five informal and formative assessments.
The end-of-first-year test shows an incredible metamorphosis. While in the 2000
cohort it correlates rather positively with all the other assessments, in the 2002 cohort
it correlates appreciably well only with SEC and Matric A level but rather poorly with
the other assessment exercises. This is largely due to a change in the system used for
test construction. While in the latter only one person was responsible for the test
construction, in the former the group effort used yielded a better paper.
The other assessment tools seem more or less to correlate well with each other.
Although there are some peculiar differences, in that the First Year Assessments
correlate very well between themselves and not so much with the 2 nd^ Year
Assessments. On the other hand the 2nd^ Year assessments compare well and are
generally a good predictor of the Matric result, especially Assessment 5, the last one.
5.2 Gender issues
The most striking difference between the students is and remains the heavy deficit of
girls choosing to study Physics at Advanced level, where they are outnumbered by a
ratio higher than 2:1. On the other hand, there are very little differences between male
and female students throughout the two years of study.
A look at the t-values in Table 3 reveals that there are little to no gender differences
within this group of students. Pearson Chi-square values for SEC and Matric grades
computed by gender also confirm this. The only significant difference that emerges is
in 2002 Cohort Assessment 4 of the 2nd^ Year, and this may be attributable to a number
of contingencies such as gender bias. The absence of a trend in gender differences is
also confirmed by the fact that in the various assessments, males and females take
turns at being the better gender. Another thing that is worthy of noticing is that there
are very few differences in the distribution of students’ scores. Generally speaking,
females tend to demonstrate more homogeneous ability than males. However, except
for Assessment 5 of both cohorts, all the values of standard deviation are very similar
to each other. This may be an indication that students are at different stages of
preparation for their ‘real’ assessment, i.e. the Matric.
Table 3. Means, Standard Deviation and t-test values by Gender
2000 Cohort2000 Cohort2000 Cohort2000 Cohort 2002 Cohort2002 Cohort2002 Cohort2002 Cohort
MalesMalesMalesMales FemalesFemalesFemalesFemales MalesMalesMalesMales FemalesFemalesFemalesFemales NNNN NNNN NNNN NNNN Grades andGrades andGrades andGrades and MeanMeanMeanMean MeanMeanMeanMean MeanMeanMeanMean MeanMeanMeanMean SSSScorescorescorescores
S.D.S.D.S.D.S.D. S.D.S.D.S.D.S.D.
Ind.Ind.Ind.Ind.
SamplesSamplesSamplesSamples
tttt----testtesttesttest
NS = Not Significant
S.D.S.D.S.D.S.D. S.D.S.D.S.D.S.D.
Ind.Ind. Ind.Ind.
SamplesSamplesSamplesSamples
tttt---test-testtesttest
NS = Not Significant * = p < 0.05 level 96 63 103 49
SECSECSECSEC^ 3.01^ 3.17^ 3.05^ 3.12 0.96 1.06
0.995NS
1.19 1.07
0.369NS
78 60 120 53
1111 65.06 63.17 64.50 65.28
12.83 12.89
0.305NS
14.10 15.46
-0.322NS
78 60 120 53
2222 60.77 61.50 64.21 63.30
16.79 16.06
0.859NS
16.04 16.20
0.342NS
78 60 120 53
3333 58.21 56.83 66.25 65.19
17.15 18.80
-0.260NS
18.16 17.04
0.361NS
78 60 120 53
42.13 42.50 38.71 37.17
1st Year Assessment1st Year Assessment1st Year Assessment1st Year Assessment
TestTestTestTest 11.21 9.88
0.441NS
7.86 7.53
1.201NS
91 70 120 53
(^4444) 52.64 53.79 51.13 55.47 15.62 14.85
-0.207NS
13.62 12.49
-1.984*
91 70 120 53
45.77 47.57 53.25 57.36
2nd Year2nd Year2nd Year2nd YearAssessmentAssessmentAssessmentAssessment 5555 21.74 20.83
-0.475NS
18.43 12.69
-1.474NS
111 70 118 52
Matric A levelMatric A levelMatric A levelMatric A level 3.85 3.91 3.03 3.35
1.52 1.40
-0.534NS
1.20 1.17
1.617NS
5.3 Paper choice in Physics SEC for the 2002 Cohort
The results here do not stray far from predictions such that students that had chosen
paper A at SEC level outperform those that had chosen Paper B. Naturally the highest
differences are present in the SEC grades as the paper choice is in itself barring
students from obtaining certain grades. However, it is interesting to notice that this
difference is also similarly evident as regards the Matric grades. From Table 4, the
standard deviations respect the frequency of the groups, i.e. they are higher for the
most numerous and vice versa. The last two assessments in the First Year show very
little discrimination between these two groups of students, so much so that in
Assessment 3 of the First Year paper B students obtain a higher mean score than
paper A. However, this may be interpreted in a number of ways. It may mean that
paper B students are better in the topics covered at the end of the First Year, but it is
more likely a distortion introduced by ineffective and incoherent assessment tools.
Table 4. Means, Standard Deviation and t-test values by SEC paper Choice for 2002 Cohort SECSECSECSEC PaperPaperPaperPaper AAAA
SECSECSECSEC
PaperPaperPaperPaper BBBB NNNN NNNN MeanMeanMeanMean MeanMeanMeanMean
2002200220022002
CohortCohortCohortCohort Grades andGrades andGrades andGrades and ScoresScoresScoresScores S.D.S.D.S.D.S.D. S.D.S.D.S.D.S.D.
IndependentIndependent IndependentIndependent
Samples tSamples tSamples tSamples t----testtesttesttest
NS = Not Significant ** = p < 0.01 level *** = p < 0.001 level 125 27 SECSECSECSEC 2.83 4.19 1.12 0.40
10.754***
126 27
1111 67.58 58.52
14.00 12.85
3.272**
126 27
2222 65.56 61.30
16.21 15.85
1.262NS
126 27
3333 67.06 67.22
18.47 17.23
-0.043NS
126 27
39.54 34.67
stststst 1111 Year AssessmentYear AssessmentYear AssessmentYear Assessment
TestTestTestTest 7.72 6.71
3.329**
126 27
4444 53.37 46.11
13.52 9.34
3.357**
126 27
57.06 45.56
ndndndnd 2222
YearYearYearYear AssessmentAssessmentAssessmentAssessment 5555 15.79 17.56
3.144**
124 27
2.90 4.00
Matric AMatric AMatric AMatric A levellevellevellevel 1.09 1.27
4.162***
5.4 SEC Ability groups
Organizing students according to paper choice can provide an idea of whether the
SEC can be an effective predictor of performance in Matric. This possibility becomes
more evident when one divides the students into two groups according to their SEC
grades. The two groups that have been formed are more or less of the same size,
composed of about 75 students each. The first group consists of those students that
obtained grades 1 to 3 in SEC while the second group is made up of grades 4 and 5.
The distribution of grades shows that students that had obtained a grade 1 to 3 in their
2000 Cohort 2002 Cohort
0
5
10
15
20
25
F re q u e n c y
A B C D E F Matric Grade
SEC 1-3; N=90 SEC 4-5; N=65
0
5
10
15
20
25
30
F r e q u e n c y
A B C D E F
Matric Grade
SEC 1-3; N=75
SEC 4-5; N=75
SEC manage to do better than those that have obtained the lower grades. However, it
is also clear from Figure 1 that having obtained a low grade at SEC level is not an
impediment to continuing further studies in Physics. In some cases the low grade in
SEC has been transformed into a grade B at Advanced level.
Figure 1 Distribution of Students’ Matric Grades by SEC Ability group
Table 5 confirms the trends that emerged from Figure 1. The students who had
obtained top grades at SEC level significantly surpass those from the lower grades in
virtually all the assessment exercises carried out in these two years. It is only in
Assessment 3 of the First Year that the difference between the two fades into
insignificance. However, although the difference is conspicuous and consistent it
does not mean that those students with a low SEC grade are failing at Advanced level.
In virtually all assessments they still get a good score and in the Advanced level they
obtain a mean grade of between C and D (3.63) which is still a useful grade to
continue further education and also to seek employment.
Table 5. Means, Standard Deviation and t-test values by SEC Ability group SECSECSECSEC Grades 1Grades 1Grades 1Grades 1 to 3to 3to 3to 3
SEC GradesSEC GradesSEC GradesSEC Grades 4 and 54 and 54 and 54 and 5 NNNN NNNN MeanMeanMeanMean MeanMeanMeanMean
Grades andGrades andGrades andGrades and ScoresScoresScoresScores
S.D.S.D.^ S.D.S.D.^ S.D.S.D.S.D.S.D.
IndependentIndependentIndependentIndependent
Samples tSamples tSamples tSamples t----testtesttesttest
NS = Not Significant ** = p < 0.01 level *** = p < 0.001 level 77 75 SECSECSECSEC 2.10 4.07 0.80 0.25
20.195***
77 75
1111 71.36 60.20
12.61 13.47
5.277***
77 75
(^2222) 68.18 61.13 16.46 15.19
2.741**
77 75
3333 69.48 64.40
18.93 17.18
1.731NS
77 75
40.91 36.20
stststst 1111 YeaYeaYeaYear Assessment
r Assessmentr Assessmentr Assessment
TestTestTestTest 7.79 6.86
3.951***
77 75
4444 56.56 47.47
13.28 11.46
4.513***
77 75
60.13 49.87
ndndndnd 2222 YearYearYearYear AssessmentAssessmentAssessmentAssessment 5555 15.69 16.19
3.969***
75 75
Matric A levelMatric A levelMatric A levelMatric A level 2.57 3.63 1.05 1.11
5.951***
5.5 Matric Ability Groups
The Matric result was used to organize the students into two ability groups, one for
the students who obtained the top grades A, B and C and one for the lower grades D,
E and F.
Figure 2 shows that students who have obtained the higher grades had also obtained
top grades in Physics at SEC level. On the other hand, the vast majority of students,
74% of 2002 cohort, from the lower Matric ability groups had previously obtained a
grade 4. The remaining quarter of the students are more or less equally spread over
the other four SEC grades. A similar distribution occurs for the top ability group but
without there being the distinct peak over a particular grade. The percentage of
students increases on going from grade 1 to grade 4, although this may be attributed to
the lower grades being more numerous in general.
0
10
20
30
40
50
60
70
80
F re q u e n c y %
1 2 3 4 5
SEC Grade
Matric A to C; N=100 Matric D to F; N=50
2000 Cohort 2002 Cohort
0
5
10
15
20
25
30
35
40
45
50
F r e q u e n c y %
1 2 3 4 5 SEC Grade
Matric A to C; N=100 Matric D to F; N=50
Figure 2 Distribution of Students’ SEC Grades by Matric Ability group
Further consolidation of this is shown in Table 6 that highlights the differences
between the Matric ability groups throughout the two years of study. All the
differences are significant, mostly at the 0.001 level. It seems that students that end
up with a low grade in Matric had started off by obtaining a lower grade in SEC and
then continuing to get lower scores throughout their two years of study. However, in
spite of there being this overall trend it does not force the lower ability students
sufficiently down the scale such that they may be considered as having failed their
post secondary education. Learning takes place amongst low achievers too! (sic) The
most consistent predictor of performance seems to be the End of First Year test
especially for the 2000 Cohort, with Assessment 5 coming in as close second. These
general trends are confirmed in both cohorts.
Table 6. Means, Standard Deviation and t-test values by Matric Ability group
2000 Cohort2000 Cohort2000 Cohort2000 Cohort 2002 Cohort2002 Cohort2002 Cohort2002 Cohort
MatricMatricMatricMatric GradesGradesGradesGrades A to CA to CA to CA to C
MatricMatricMatricMatric GradesGradesGradesGrades D and FD and FD and FD and F
MatricMatricMatricMatric GradesGradesGradesGrades A to CA to CA to CA to C
MatricMatricMatricMatric GradesGradesGradesGrades D and FD and FD and FD and F NNNN NNNN NNNN NNNN MeanMeanMeanMean MeanMeanMeanMean MeMeMeMeanananan MeanMeanMeanMean
GradesGradesGradesGrades andandandand ScoresScoresScoresScores
S.D.S.D.S.D.S.D. S.D.S.D.S.D.S.D.
Ind. SamplesInd. SamplesInd. SamplesInd. Samples
tttt----testtesttesttest
** = p < 0.01 *** = p <
0.001 (^) S.D.S.D.S.D.S.D. S.D.S.D.S.D.S.D.
Ind.Ind.Ind.Ind.
Samples tSamples tSamples tSamples t---
testtesttesttest
** = p < 0.01 *** = p < 0.001 58 97 100 50 SECSEC SECSEC 2.62^ 3.34^ 2.77^ 3.74 1.15 0.80
4.188***
1.12 0.90
5.729***
56 75 111 59
1111 69.91 60.47 68.78 57.29
12.77 11.42
4.378***
13.55 13.56
5.262***
56 75 111 59
2222 67.05 57.07 67.34 57.97
15.19 16.01
3.492**
14.30 17.37
3.555**
56 75 111 59
3333 66.34 52.20 69.59 60.34
15.45 16.57
5.024***
16.71 17.76
3.301**
56 75 111 59
49.70 37.13 40.68 33.59
stststst 1111 Year AssessmentYear AssessmentYear AssessmentYear Assessment
TestTestTestTest 9.32 8.20
8.031***
7.47 6.07
6.682***
63 81 111 59
4444 61.43 47.47 55.68 46.78
12.59 12.87
6.537***
13.92 10.33
4.718***
63 81 111 59
59.42 40.00 60.36 43.81
ndndndnd 2222 YeYearYeYe
ararar
AssessmentAssessmentAssessmentAssessment 5555 18.08 15.97
6.898***
15.74 13.59
7.146***
67 110 111 59
2.25 4.81 2.41 4.47
Matric AMatric AMatric AMatric A levellevellevellevel 0.82 0.77
20.508***
0.65 0.73
18.286***
As a summary, one can compare the Matric Ability group with the SEC ability group.
The distribution of values in Table 7 demonstrates how obtaining a good grade in
Physics at SEC level is a good start towards obtaining a good grade at Matric level.
However, getting this good grade is only a rough indicator as there are an appreciable
number of students (50) with low SEC grades (4-5) who manage to get a top grade in
Matric A level. Also, a good number of students (54) with a high SEC grade (1-3)
do not keep up their good performance at Advanced level. Besides these general
trends, there is also an evident difference in the performance between the two cohorts.
Presumably hard work in studying pays more than a good starting grade!
Table 7. Matric Ability group compared to SEC Ability group
Matric Ability GroupMatric Ability GroupMatric Ability GroupMatric Ability Group
SEC Ability GroupSEC Ability GroupSEC Ability GroupSEC Ability Group
HighHighHighHigh LowLowLowLow TotalTotalTotalTotal
HighHigh HighHigh 42 48 90
LowLow LowLow 16 49 65
2000200020002000
CohortCohortCohortCohort
TotalTotalTotalTotal 58 97 155
HighHigh^ HighHigh^66 6 72
LowLow^ LowLow^34 41 75
2002200220022002
CohortCohortCohortCohort
TotalTotalTotalTotal 100 50 147
HighHigh HighHigh 108 54 162
CombinedCombinedCombinedCombined LowLow LowLow 50 90 140
TotalTotalTotalTotal 158 147 355
5. Conclusions and Recommendations
There are fewer females than males pursuing the Physics Advanced course at the
Junior College. From 2000 to the 2002 there is a pejorative progress; the male to
female ratio falls from 1.5 in 2000 to 2 in 2002. Furthermore it appears that an even
less proportion attempt the Matric Physics Advanced nationally. In 2002 the ratio of
2.5:1 was calculated using the relative frequencies for the entire Maltese Physics
Advanced cohort (from frequency data MATSEC 2002 Matriculation Statistical
Report). This may indicate that the Physics Advanced College course attracts more
females to pursue studies in the physical sciences than the other post-secondary
colleges although still more needs to be done as regards the gender gap. This is in
sharp contrast with the fact that more females than males sat for the SEC 2000.
Furthermore, in a previous study, it had been found that there are no significant
gender differences in performance in the Physics SEC 2000 and only slightly better
grades obtained by females (Pace, 2002b). This study also shows that that there are
more females than males opting for the SEC Paper B (ibid.) In the short space of two
years, the similar ability demonstrated at SEC level between the two genders is
replaced by a male superiority in numbers and in results.
This evidence derived from the two Physics examinations indicates the loss of a good
proportion of females continuing further studies and subsequent professional careers
in the physical sciences or related. This could also mean that the Physics Advanced
course does not have a sufficient intake of the Physics SEC high ability students.
Further indication of the lack of females pursuing higher education in Physics is the
low standard deviations both in the SEC and Matric examinations shown in this study.
These indicate that these females are a narrow range of high achieving students and
that the average ability female students for some reason or other are opting out of
continuing Physics at Advanced level.
Identifying valid predictors for Matric Advanced level grades is never straight
forward. For one thing, not one of the summative or formative assessments employed
from SEC to the Junior College internal tests and scores correlates that strongly with
the Matric Advanced level results. Therefore, obtaining a top SEC grade or doing
well in the Junior College Assessments is not a sure recipe for success at Matric level.
However, the correlation values (Table 2) between SEC and Matric are still indicative
that these students may be already on the right track from the start. This correlation
coefficient, although rather low, is not unimportant as it is a measure between two
examinations that are essentially different in format and skills tested, concepts learned
and medium used, not to mention difficulty level. One important difference between
the two examinations is the Practical component which is formally examined at
Matric Advanced level while at SEC level it is measured using school based
continuous assessment. Furthermore, the mathematical/analytical content is
drastically increased at Matric level as is the level of English employed. The format
of the paper also changes and the students are given a lot more choice at Advanced
level when one compares it to SEC which offers no choice of questions at all. In a
similar study to this one, Ventura (2001) calculated an r-value of 0.572 for SEC 1998
and Matric 2000 cohort that is higher than the ones obtained here but still indicative
that the two Physics external examinations are essentially different.
This low predictive validity of the SEC grades, or any other assessment tool
considered for that matter, also suggests that with hard work and commitment at the
Junior College, a student that starts off with a low SEC grade stands a 50% chance of
obtaining a good grade in Matric Advanced level. If not a good grade, but a useful
grade to continue further education is certainly within their reach and so even a low
paper-B SEC grade 5, is still within the margins of success for a useful Matric result.
This should be of credit to the Physics tuition at the College apart from the efforts
done by the student. In the light of this study it would definitely not be advisable if
the Physics course entry requirements were made more stringent. As argued in
Section 5.5 above, (Table 7) restricting entrance to Physics Advanced to those who
obtain grades 1-3 in Physics SEC, implies rejecting about a third of the cohort who
attain low SEC grades (4-5) but succeed in getting the higher grades A-C in the
Advanced while at the same time keeping another third of those that achieve 1-3 in
SEC but who only manage to obtain grades D and E in Advanced level. If assessment
is more attuned to diagnose student difficulties and assess their potential, then a
programme can be implemented whereby students may be guided better to achieve
optimum results.
This area certainly requires further study. A cursory analysis of drop outs from first
year to second year in 2002 reveals that about 90% of them had indeed chosen Paper
B for their SEC examination. Therefore, this may mean that only paper-B SEC
students with a characteristic resilience manage to make it through the two years of
study, to eventually have a chance at the Advanced level. The success of the paper-B
students may thus be attributed to the weeding out of the really weak ones during the
first year and the consolidation of the resilient types. However, it may also mean that
students who are dropping out of Physics Advanced level course are not receiving the
proper support. This fact calls for a lower student-lecturer ratio during lectures that
presently stands at around 50:1 and certainly, and more importantly, a lower ratio
during tutorials presently at about 25:1. The numbers are far too big to successfully
identify and direct students as is merited. The situation does indeed improve during
second year when the effect of the drop outs, harmful as it may be to them, is
beneficial to the ones that remain. Student-to-lecturer ratio falls slightly, the
assessment tools become much more effective and the quality of the learning
increases.
A very important indicator of performance was the end-of-first-year test for the 2000
cohort which contrasts highly with the one for 2002. This difference seems rather
peculiar when one considers that the results of this study show such comparability
between the two cohorts. However, there are significant differences between the two
end-of-first-year tests. The method of construction of the test has changed from the
first to the second instance. For the 2000 cohort, the test was similar in format to the
Matric in that it consisted of two written papers and a practical component. This was
constructed by means of a group effort of all the lecturers at the Physics Department.
On the other hand, the 2002 cohort were tested by a single written paper and practical
constructed solely by the Physics Subject Coordinator and reviewed by two lecturers.
These two differences alone may account for the discrepancy in correlation between
the End of First Year test and the Matric for the respective cohorts.
This study puts into emphasis that the informal assessments throughout the Junior
College Physics Advanced course have a more formative function and so they may be
used to diagnose those students that are falling behind. As students progress in their
two year course, so does the efficiency of these assessments in predicting success or
failure in Physics Matric A level with the notable exception of the End of First Year
test in the 2000 cohort. This culminates in Assessment 5, just before students sit for
their Matric that shows the greatest degree of commonality out of all the assessment
tools analysed with the Matric Advanced level result. This suggests that by this time
students have gathered a certain momentum in their studies, having mastered
concepts, practised skills and gained insights. Although the rather high standard
deviations indicate that some students are still not at the top of their preparation.
Assessment 5 should be considered by students as an indication of whether they are
on the right track or whether they need to work harder still. However, what the
argument outlined in the previous paragraph shows is that perhaps a mock test would
give more valid feedback to the students. Thus, they would be able to bridge the gap
between the fuzzy knowledge that they obtain with the present system to a coherent
account of strengths and weaknesses ensuing from an examination.
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