Abstract:
The purpose of this research was to delve into the manner in which intermediate
phase mathematics teachers implement formal assessments in order to enhance
teaching and learning. The research was elicited by several reports on the
underperformance of South African learners in mathematics. The constructivist
philosophy was embraced to underpin the study; specifically, Piaget‟s cognitive
constructivism and Vygotsky‟s social constructivism. The research emulated a
mixed-methods research design, namely the sequential explanatory research
design; hence it combined both the positivists and interpretivist paradigms. The
sample of the study involved 151 intermediate phase mathematics teachers in the
Lejweleputswa district. The study employed simple random sampling for the
quantitative strand and purposive sampling for the qualitative strand. Data was
gathered through the questionnaire, document analysis, which utilised a checklist
and semi-structured interviews. The analysis of quantitative data was done in two
sections, thus descriptive statistics first, followed by inferential statistics. Interview
data analysis was done through the themes that emerged from participants‟
responses.
Results of the research have uncovered that the majority of teachers do not align
assessment in mathematics to theories of education, in this case, the constructivist
theory which informed the study. Furthermore, document analysis has revealed that
assessments are inadequately implemented; they do not meet the requirements as
stipulated by the Curriculum Assessment Policy Statement (CAPS). Some teachers
face challenges when it comes to formal assessment implementation because they
are not trained to teach in the intermediate phase, instead, they are trained for other
phases. Additionally, the Free State Department of Education does not adequately
train teachers in formal assessments. Learners have difficulties in understanding
word sums, hence making it difficult for them to solve complex procedures in
mathematics. Hypotheses tests were conducted to compare teachers‟ implementation of formal
assessments according to gender, age, teaching experience, professional teaching
qualification, class size and school quintile. Independent-sample t-tests show that there is no statistically significant difference between male and female teachers on
formal assessment scores. However, there is a statistically significant difference
between young and old teachers on formal assessment scores. Old teachers
implement formal assessment better than young teachers. The results also reveal
that there is a statistically significant difference among teachers with teaching
experience of 1-5 years and 6-28 years on formal assessment scores. Teachers with
6-28 years of teaching experience implement formal assessment better than
teachers with 1-5 years of teaching experience. The results show that there is a
statistically significant difference among mathematics teachers with or without
professional teaching qualifications in the intermediate phase on formal assessment
scores. Teachers qualified to teach in this phase implement formal assessment
better than those who are not qualified to teach in this phase. The results also show
that there is a statistically significant difference among intermediate mathematics
teachers who teach an average of 25-40 learners and an average of 41-55 learners
on formal assessment scores. Teachers who teach 25-40 learners implement formal
assessment better than those who teach 41-55 learners. One-way between-groups
analysis of variance (ANOVA) has revealed that there is no statistically significant
difference among mathematics teachers who teach different intermediate phase
grades on formal assessment scores. ANOVA has also revealed that there is a
statistically significant difference among intermediate mathematics teachers who
teach at different school quintiles on formal assessment scores. Teachers at quintile
4 and 5 schools implement formal assessment better than those at quintile 1, 2 and
3 schools. The study, therefore, recommends that teachers must be involved in curriculum
design. Teachers must be placed according to the subjects and phases they are
qualified for. Teacher training institutions should practically train mathematics
student teachers to implement formal assessments effectively. Teachers should be
continuously developed by their subject advisors and lastly, teachers need to
continue developing themselves to keep abreast of current developments in
mathematics.