Abstract:
Mathematics is an important subject and it is the key to advancement in society.
Keeping in mind the importance of mathematics in daily life, the present study was
designed on the development of an integrated activity based curriculum of mathematics at
secondary level in the North West Frontier Province of Pakistan. Recently the name
‘North West Frontier Province’ has been changed officially. The new name is ‘Khyber
Pakhtoonkhwa (KPK)’. Therefore hereafter ‘Khyber Pakhtoonkhwa (KPK)’ will be used
through out the thesis.
The study was aimed; (a) To pinpoint various branches of knowledge which
mathematics teachers add/discuss in teaching of mathematics at secondary level through
real life integrated activities in applied situation (b) To know up to what extent
mathematics teachers use real life integrated activities in applied situation implementing
their current secondary level mathematics curriculum (c) To find mathematics teachers’
beliefs about the role and importance of real life integrated activities in mathematics
teaching at secondary level (d) To explore mathematics teachers views about various
barriers that will prevent or make difficult to use real life integrated activities at
secondary level in mathematics teaching (e) To
identify what assessment practices
mathematics teachers at secondary level use in mathematics teaching and (f) To develop
a model of integrated activity based mathematics curriculum at secondary level.
This study was carried on in two phases. The population of the study was all
secondary level mathematics teachers and students in the province of KPK, Pakistan. In
first phase mixed method approach was used. The sample of the study in this phase was
selected through multi stage proportionate random sampling method. Total 8 out of 24
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(33% of the population) districts were included in the sample. Two districts were
randomly selected from each cluster (called Zone) already made by KPK public service
commission. After selecting districts from each district 1/3 schools each from Urban and
rural were randomly selected and then three mathematics teachers from each sample rural
school and six mathematics teachers from each sample urban school were chosen
randomly for survey. In this way total 681 mathematics teachers 465 from rural and 216
from urban constituted the sample of descriptive part of the study. Also total 32 teachers
four from each district two each from urban and rural were included in the sample for
interview using purposive sample. While experimental research was carried out using
post test only equivalent group experimental design in second phase of the study. Total
60 students of grade 10, 30 for experimental group and 30 for control group of
Government Higher Secondary School (GHSS) No.1 Peshawar cant were the sample in
second phase of the study. Purposive sampling method was used for school selection and
the students were selected through pair random sampling on the basis of the scores they
achieved in mathematics in their 9th grade annual examination. In the experiment, use of
integrated activity based curriculum units and traditional method of teaching were
independent variables while students’ achievement and their retention score were
dependent variables.
After collection of data, descriptive statistics Percentage, Chi Square Test,
Wilcoxon Two Sample Test and Two-independent Sample t-Test were used for analyzing
data and drawing conclusion.
On the basis of findings the conclusions drawn from first phase of the study were
that majority of the teachers didn’t discuss other branches of knowledge in mathematics
teaching through real life integrated activities in applied situation, teachers didn’t use real
life integrated activities in applied situation using current mathematics curriculum and
teachers assessed students through the reproduction of the same questions as given in
their textbook. The over all perception of mathematics teachers was positive towards the
use of real life integrated activities in applied situation in mathematics teaching. However
unavailability of guide book, lack of fund, time constraint, inappropriate training, rote
learning based examination system and load of work were considered as barriers in use of
integrated activities in mathematics teaching.
The conclusion extracted from the second phase was that students’ achievement
can be enhanced through the use of real life activities in applied situation in teaching
mathematics. Their understanding of using mathematics in real life can be improved,
when students are practically involved in the process by using integrated activities in
teaching of mathematics.