Abstract:
A sound education in mathematics is important for any modern knowledge
based economy. Mathematics is now important in many areas where it has not
previously played much of role, for example, in biology, social sciences etc. If the
proper mathematical foundations are not laid during the formative years of childhood
and adolescence, it becomes increasingly difficult to address this weakness in later
life. The attempts to confront these shortcomings during retraining in later life are
generally wasteful and only partly successful.
The present study was designed to investigate the comparative effectiveness of
problem-solving approach on the academic achievement of secondary school students
in mathematics. The major objectives of the study were: (1) To determine whether the
problem solving approach is more effective than expository strategy of teaching on
academic achievement of students in mathematics. (2) To determine whether the
problem solving approach is more effective than expository strategy of teaching on
attitude of students in mathematics. (3) To examine the effect of problem-solving
approach on the academic achievement of low achievers. (4) To measure the effect of
problem-solving approach on the academic achievement of high achievers. (5) To find
out the effect of problem-solving approach on the retention of students in
mathematics.
To achieve the objectives of study, following null hypotheses were tested:
(1) There is no significant difference between the pre-test mean achievement scores of
experimental and control group. (2) There is no significant difference between the
pre-test mean achievement scores of low achievers of experimental group and control
group. (3) There is no significant difference between the Pre-test mean achievement scores of high achievers of experimental and control group. (4) There is no significant
difference between pre-test mean attitude scores of experimental group and control
group. (5) There is no significant difference between the post-test mean achievement
scores of experimental group and control group. (6) There is no significant difference
between post-test mean achievement scores of low achievers of experimental group
and control group. (7) There is no significant difference between post-test mean
achievement scores of high achievers of experimental group and control group. (8)
There is no significant difference between post-test mean attitude scores of
experimental group and control group. (9) There is no significant difference between
mean achievement scores of experimental group and control group and control group
on retention test. (10) There is no significant difference between mean achievement
scores of high achievers of experimental group and control group on retention test.
(11) There is no significant difference between mean achievement scores of low
achievers of Experimental group and control group on retention test.
Secondary school students studying mathematics constituted the population of
study. The student of 10th class of Govt. Pakistan Girls Higher School, Rawalpindi
(Pakistan) was selected as a sample of the study. The pre-test post-test equivalent-
group design was used for the study. The sample size consisted of forty eight students
who were divided into experimental group and control group, each consisting of 24
students by equating them on their previous knowledge in mathematics, as determined
through a pre-test. A treatment of planned problem-solving approach was provided to
the experimental group while the control group was taught by expository strategy for
a period of six weeks.