
lection of more individual views, which may not be so
easily obtained in larger scale projects [15, Chapter 11].
As mentioned previously, the case study began by
asking the learner to list ten aspirations, academic and
non-academic, which were important to them (see Figure
1). The goals they listed relating to mathematics were:
“improving at fractions and graphs, doing more past pa-
pers and passing my A Levels”. This demonstrates their
focus on doing well in examinations, which is no surprise
since this is a sixth form college environment, where ex-
aminations are the constant nuclei of attention for stu-
dents and teachers alike.
To devise the targets, the teacher firstly asked why
fractions and graphs were listed. The student suggested
that their teacher had indicated they struggled with
these topics and knew they could improve. In particu-
lar, the learner suggested as a target that they would
“get better at fractions”. Bearing in mind work [16]
which suggests that clear attainment enhancement is
more likely when specific academic learning goals are
set, it was suggested that they select some classwork,
past papers and a worksheet to do during the next two
weeks to judge progress.
The student and the teacher then worked together
to devise a second target based on graphs. This was
another topic that the learner had identified and their
mock examination demonstrated that their method did
not align with the suggested mark scheme. It is worth
noting that the student tended to draw graphs freehand
without creating a table of values and used small dots,
which were indecipherable to the assessor, in order to
indicate the location of each point. It was agreed for as
a second target that they would create a table of values
associated to each graph she drew and plot each point
with a cross. As in the first target, it was agreed to
measure progress using relevant classwork, past papers
and a worksheet. Further, it was explained that rather
than trying to complete all of the questions, the stu-
dent should focus on creating a table of values and using
crosses for each point in all the graphs they plotted.
As a third target, we focused on how to improve upon
the layout of the learner’s work. Here this target was
suggested as they often completed several simplifications
and calculations on a line, implying a lack of understand-
ing about the meaning of the equals sign. Progress in
this case would be measured by looking at the class-
work and past papers that they completed and as an
aid, some some model solutions demonstrating how to
set work with a new line for each step were provided.
Then we met to review progress after two weeks.
With respect to the first target, namely fractions, the
improvement was stark. The student was now clearly
showing a method and so was making significantly less
mistakes than before. While their method was not the
most efficient, they were using it accurately and obtain-
ing correct answers. Note that fractions had been an area
of weakness for this student and this progress meant it
was now an area of strength.
For the second target, namely plotting graphs, their
work again demonstrated exemplary progress. Now, the
student was creating a table of values and plotting graphs
accurately using crosses. However, some graphing issues
were noticed when substituting values into the function
to create the table of values. In light of this, it was
suggested that they could improve accuracy during sub-
stitution and that this could be a good next target. This
was agreed upon and we would meet again to review
progress in a similar way.
The learner additionally demonstrated progress in at-
taining the third target. The layout of work was logical
and systematic, answers were circled and a new line used
for each step. However, a sporadic use of the equals sign
when simplifying algebraic expressions and solving lin-
ear equations was noticed. Dixon and Haigh [4] point to
the importance of reflecting on targets with students and,
with this in mind, possible improvements that could lead
to achieving the target were discussed before the teacher
then suggested building on this progress by making use
of a new line for each step in algebra.
The meaning of the equals sign was also discussed at
this point an, to aid progress, a spot the mistake activity
was provided. This asked the leaner to highlight where
the equals sign was used incorrectly and explain why it
was wrongly used. This forced them to think about the
symbol, which we hoped would mean that they use it
correctly in the future. Further, it was agreed to review
a new target based the spot the mistake activity and
relevant classwork and past papers in two weeks.
Finally, the learner was asked what else they wanted
to focus on during the next two weeks, upon suggesting
they looked through her recent examination paper if they
did not have a topic in mind. In light of this, they asked
to look at currency exchange problems, as this was a
topic they completely avoided in the exam. When asked
what they wanted to achieve and how we would actually
measure this, they said “to be able to change between
currencies easily” and suggested practicing examination
questions to demonstrate progress. The vagueness of this
response is in keeping with Dagley [5] who suggested that
overly general targets may follow when the teacher hands
the student responsibility for target setting.
The suggested target was agreed upon and addition-
ally the teacher set two further questions to work on.
This was since we wished to ensure progress was not
solely focused on passing an examination since “teach-
ing children to pass tests benefits no one and renders
school boring for the able, and disastrous for the less
able” [14]. After a further two weeks, we met to assess
their progress against the second batch of targets and
review the target setting exercise as a whole.
Boaler [6, Chapter 4] reports that self assessment
teaches learners about what constitutes high quality
work and provides them with information on their own
understanding. Therefore, we asked the learner how
they thought they had performed in previous two weeks.
Their comments chimed with the finding that students
4. Analysis
WSEAS TRANSACTIONS on BUSINESS and ECONOMICS
DOI: 10.37394/23207.2022.19.169