chapter 1 introductlon - shodhgangashodhganga.inflibnet.ac.in/bitstream/10603/6637/9/09... ·...
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CHAPTER 1
INTRODUCTlON
Conceptualisation of the Problem.
Need and Significance of the Study.
Statement of the Problem.
Dejlniffon of Key Tenns.
Hypotheses.
Objectives of the Study.
Scope and Urnitcr#ons of the Study.
Organisation of the Report.
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CHAPTER 1
ZNifRODUCTION
1 . I . ConceptuaJisation of the Problem.
We live in a cognitive society. which expects thinking skills more than at any
time in the past. The people who do not practise to think need not be surprised
when others start doing it for them. In the post- indusirial, educated bureaucratic
societies the prime skills are no long?r manual skills but mental skills.
Analytical thinking is the lo3ical, structural and rigorous mode of thought
which characterises, for example, the deduction of formal proofs in logic or the
systematic testing chains in Matherratics.
Mathematics deals with patlems and relations, and it is an abstract subject.
Learning Mathematics involves thinking mathematical ideas. Concepts and
generalisations make up the content of Mathematics. To form mathematical ideas,
children must use cognitive processes such as comparing and inferring. If teaching
stresses concepts and genemlisations, children can understand and apply
Mathematics more readily. The teacher's role is to encourage children to use
cognitive processes. The teacher n~ust avoid thinking for the child.
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The instructional process or t~maching has traditionally comprised instructors,
learners and content. The content to r x learned was contained in the text and it was
the instructor's responsibility to "teat h" that content to the learner. Teaching cduld
be interpreted as getting content horn the text into the minds of the learners in such
a way that they could retrieve the information when and where necessary and apply
it accurately. A more contemporarj view of instruction is that it is a systematic
process in which every component - teacher, learner, materials and learning
environment - is crucial to successful learning. Learning has occurred when students
have incorporated new information into their memories that enables them to master
new knowledge.
Gagne (1985) developed t ~ e cognitive views of learning and instruction.
Constructivism is a recent branch of cognitive psychology. The central point of
constructivist thinking is that learriing is a unique product "constructed" as each
learner combines new informatior~ with existing knowledge and expressions. The
constructivist view of learning is $0 entwined with one's experiences. Hence the
primary role of the teacher is to create appropriate learning environments.
According to constructivism, leamzrs actively construct their own understanding of
the concepts, phenomena and ideas. The students are not passive vessels having
small amounts of extra information poured into them as they learn. Here all new
information is approached using knowledge structures. When a new concept is
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Introduction
learned, the constant reworking of knowledge structures is formed in order to
incorporate the new information. The cognitive aspect of learning theory deals with
the problem of how people gain an understanding of themselves and their
environment and how using their cognition, they act in relation to their
environments (Bigge, 1981).
1 .l. 1. Developing Metacognitiu e Skills
Metacognition is defined a$ mental activities used to plan, monitor and
control problem solving, comprehension, memory and other cognitive processes.
Some researchers describe these processes as "thinking about thinking". Many
educational psycholcgists agree that teaching metacognitive skills is one of the more
important aspects of education (l'lavell, 1985, Sternberg, 1990). Because our
knowledge base in aU disciplines is expanding at a phenomenal rate, more efficient
means of organising and retrieving information are necessary. To cope with the
abundance of information, student; need to store data systematically, and retrieve
and comprehend pertinent content.
According to Perkins (1988), good thinking is not something that comes
naturally; it requires developing tactics, strategies, techniques and methods. In the
class, it is the teacher's role to ensure that the learning environment has a minimum
of obstacles and disruptions. This requires teachers to establish and maintain a
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Introduction
classroom atmosphere that encourages positive attitudes between students of
varying abilities and social environmcnts.
Problems that students have n the classroom learning are the result of lack
of metacognitive skills. Many sttdents have little cognitive prompting and
monitoring. Gullnick and Chinn (19514) suggested the following, which help teachers
to capitalise on the diffeerence among their students.
(i). Place the student at the centre of the teaching and learning process.
(ii). Believe that all students can lear 9.
Bruner (1982) suggested that by helping students discover the context and
information within the context of a field of study, teachers can help them remember
and apply what they have learned When students learn on their own it is more
meaningful than when they learn as a result of others. To enhance that new
information will be remembered, students should be active rather than passive
(Glover & Bruning, 1990).
1.2. Need and Significance of the Study.
The Constitution of Indii PI ovides special concessions to the deprived and
the disadvantaged sections of the sc~ciety, to enable them to catch up with the rest of
the population in the process of development. In pursuance of Articles 341 and 342
of the Constitution, certain castes and tribes have been included in the schedule on
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Introduction
the basis of their social and economic backwardness. These are classified as,
"Scheduled Castes (SC)" and " Scheduled Tribes (ST)".
Article 46 of the Constitution prescribes that " the State shall promote with
special care, the education and economic interests of the weaker sections of the
people, and in particular, of the Scht:duled Castes (SC) and Scheduled Tribes (ST)
and shall protect them from social injustice and all forms of exploitation".
To attain the cherished goa of Universaliiation of Elementary Education
(UEE), the National Policy on Education (NPE-1986) states that "the new policy will
lay special emphasis on the rerno~al of disparities and to equalise educational
opportuniw by attending to the s~ecific needs of those who have been denied
- equally so far".
In India, educational disadvantage is a serious issue under consideration.
Special emphasis has been laid down for this disadvantaged group in education.
The educationally / academically d'sadvantaged children show progressive decline
in intellectual functioning, cumi~lative academic deficits, premature school
termination and high dropout rates. Besides these, their behavioural characteristics
include distractibility, poor self-concept, low motivation and impulsive behaviour.
Educationally disadvantagec and advantaged students differ in terms of their
cognitive skills, linguistic ability, sell-concepts, levels of educational aspiration, locus
of control, and social behaviour. Educationally 1 academically disadvantaged
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students are having special difficulk~ in developing concepts of an abstract nature
and generalising. (Bloom et.al, 1965).
The term used to label culturally deprived children has undergone a number
of modifications since 1960s. First, it was changed from culturally deprived to
culturally disadvantaged and then replaced by educationally/academically
disadvantaged. Numerous educators believe that some students are ill prepared to
succeed in school because their culhrre places them at an educational disadvantage.
According to Bloom et.al. (1965), students having experiences in homes
which do not transmit the culturzl patterns necessary for the type of learning
characteristics of the school and the larger society are called culturally deprived
students.
Riessman (1962) reflected that the terms culturally deprived, educationally
/academically deprived. under-privileged, disadvantaged, lower classes, and lower
socio economic group could all be used interchangeably. Passow (1970) defined the
disadvantaged chikl as one who ' l~cause of social or cultural characteristics. for
example social class. race. ethnic ori@n. poverty. sex. geographical location. etc:
comes into the school svstem wit3 knowledae. skills and attitude which im~ede
learnina'
Educationaliviacadernicailv disadvantaaed children's communication
ca~abiiities are elementaw. Analvtic conversations with adub at home are limited.
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Introduction
These children learn, think and speak largely about concrete matters of immediate
importance. Generalities and long-r,ilnge goals are seldom discussed or recognised.
Katz (1969) states it in this way, " In crowded lower-class homes, where mothers
often are away at work during the day and both parents lack intellectual
sophistication, the child's early efforts at verbal and cognitive mastery are less likely
to be favourably reinforced than in middle-class homes, resulting in lower
expectations of reward for intelleduid effort".
Some educators who subscribe to the theory of educational disadvantage are
pessimistic about the possibilities that school can overcome its presumed effects. It is
possible to combat the characteristic:^ attributed to the educationally disadvantaged.
Additional funding to schools that are having educationally/academically
disadvantaged students programs, such as 'Head Start' and 'Upward Bound', is
earmarked in the United State:$ to compensate for student's educational
disadvantage.
According to Datcher-Lourj (1989), there are substantial variations in
children's outcomes across families i hat are identical in parent's education and work
history, family income, family size, and other standard measures of social and
economic well being. Differences ir~ family behaviour and attitudes have large and
important long-term effects on childi.en's academic performance.
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Introduction
Passow (1990) is of the opiliion that there is no need of providing a less
challenging curriculum and limted achievement goals for educationally
disadvantaged children. Through this curriculum students receive more instruction
in factual and lower level skills - drtU and practice- and less in higher order skills.
This hampers the ability of edutationally disadvantaged students to develop
thinking skills, lowers their learning expectations and stigrnatises them as inferior.
Although the poor students from low socio- economical strata are likely to
suffer from biomedical problems, it is unlikely that these problems are major cause
of their lack of achievement in regu ar education system. Research does not support
the contention that they inherit less intellectual potential than others.
Through individuals outsid? the family - such as teachers, neighbours,
community groups, agencies, a ~ d so on - the educationaUy/academically
disadvantaged students can be encouraged to set high achievement goals for
themselves. Performance of educat~onally disadvantaged students can be improved
by providing opportunities in curriculum and instruction. Some effective
instructional practices can increase in disadvantaged students the outcomes such as
more positive attitudes about schoc~l, improved achievement, higher self-esteem and
aspirations, and other characteristics of successful students.
Education of the disadvantz ged population groups is the main concern of all
the developing countries. India too is concerned about the education of the
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Introduction
disadvantaged children. Education lor all is the major thrust of all governmental
and non-governmental efforts in the post independence era with a view to fulfilling
the constitutional obligation within a specific period. Though statistically the
situation has changed considerably since independence, much remains to be done
if the goal is to be achieved by the er d of this century.
According to Khaparde (1996), the reasons for educational disadvantage are
mainly poverty, social discrimination, uneducated parents, lack of minimum
educational facilities, etc. Lack of curriculum relevance, including the uninspiring
teaching-learning process, is often the reason that adversely affects schooling,
particularly for children from the groups, which are educationally disadvantaged,
thereby perpetuating the cycle of ed~cational disadvantage.
Therefore, innovative approaches based on research will have to be evolved
in order to handle the learning ~iiff'iculties of the educationally I academically
disadvantaged groups. Teachers can make a difference in the life of the pupils and
more so in the life of the educationiilly disadvantaged groups. There are a variety of
approaches to pedagogy based on the systematic use of principles of human
learning. Teaching in all fields from Arithmetic to Zoology depends for its efficacy on
the use of procedures adopted. Sometimes concepts are taught effectively by
teachers who haw little or no theoi.etica1 understanding of the underlying processes.
However, frequently all teaching fails to produce conceptual learning, producing
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instead, the rote learning. In the systc?matic development of pedagogy, adventitious
conceptual learning is not sufficient. It is essential for the teachers to develop their
own concepts of conceptual learning to gain insights into how pupils learn concepts
and how teachers might enhance the process (Stones, 1994).
Many of the problems enc~~untered by the teachers are attributable to
inadequate conceptual analysis. Each of the subconcepts merited an analysis of its
own and further, more detailed analyses down the conceptual hierarchy. Teachers'
imaginations provide the way in which the pedagogic principles and their own
knowledge of the field of study c3me together to provide elegant solutions to
problems related to teaching. Each teacher must deal with all students' population
in equal manner and try to foster thzir curiosity, creativity and make them all active
participants in the teaching-learning process. The whole educational process has to
be humanised, and building up of interpersonal relationship can effectively
contribute to academic exchange ar~d improvement.
In the traditional teaching, teacher adopts an authoritarian role. While
teaching, little emphasis is given tc the eagerness, curiosity and capability of the
pupils. Pupil participation is limited to answering questions asked by the teacher.
According to Bruner (1993) the pl.ocess of education should enable children and
youth to learn to gather and process information that will become organised into
stable mental structures to assist them in problem solving.
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The National Policy on Educstion (1986) favours a child-centred approach
and places importance in the acquisition of problem solving skills and
interdisciplinary relationships.
Explosion of knowledge majje it practically impossible for the teacher to
impart the ever-expanding study material within the constraints of time and
syllabus. Most of the teachers adopt easier and conventional methods like leduring
or explaining the content giwn in the textbooks. Today, a large number of teaching
methods is available. Joyce and Weil (1985) published models of teaching under
the Information-processing family, he Personal family, the Social family and the
Behavioural systems family. Attempts haw been made in Indian Universities too, to
develop models of teaching and kssons that can be directly used by teachers in
secondary and higher secondary scx~ols. The DisEE Model of Teaching developed
by Subhash and Sivadasan (19!)0), for instance was found very effective for
teaching at higher secondary level.
Mathematics is a core subje* in our education system both at primary and
secondary levels. The study of Mathematics is indispensable in one's life due to the
wide range of its applications in the present technological society. Everybody
requires applying Mathematics to l~fe situations. The National Policy on Education
(1986) has visualised Mathematic as a vehicle to train children to think, reason,
and analyse and articulate logically. Since the quantitative treatment, measurement,
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analysis and reasoning are being ir~creasingly used in many other subjects, the
relevance of Mathematics is emphasised both in the context of the day to day
problems in the child's environment and in the context of the child's learning in
other concerned subjed areas.
In India, the Kothari Commission on National Education (1964)
recommended that every student s7ould study Mathematics compulsorily for ten
years. The National Policy on Education (1986) also reiterated the importance of
the teaching Mathematics in school education. The Programme of Action (1992)
recognised the fact that the quality of teaching Mathematics in our schools has not
been satisfactory.
In India, researchers in the field of education are probing alternative ways
and means of teaching Mathematcs during the last two decades. Thus a lot of
research has been going on into th~? theories of learning and applications of these
theories to the development of teaching strategies and models. In Mathematics,
logical sequence of basic concepts is very important. Therefore a thorough
understanding of the concepts and development of logical processes of thinking are
essential for effective learning of Mathematics. Since Mathematics is a subject of
significance by itself and also concomitant to other subjed areas, it is a compulsory
subjed at the school level. Experience has shown that the majority of students
normally fail in Mathematics at thcz end of class X (NCERT, 2000). Kajapeer (2001)
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probed the reason for failure and birckwardness in the subjed and found it as the
existing gap between research in the subject and its classroom practices.
According to Mc Closkey (1967) "Disadvantaged children have not
developed sufficient cognitive and reasoning skills essential for typical rates and
dimensions of school progress. These deficiencies accumulate partly from
prolonged restriction to the limitcd experiences of culturally and intellectually
improvised homes and neighbourb~od. Environment in the form of different kinds
of toys, objects, tools, clothing, parental love and incentives, social condition,
cultural influence along with motivational and emotional experiences set the
foundation stone for the infmstndure of human cognitive processes. If these
environmental incentives, instead clf stimulating, misdirect or halt human progress,
they are named as "Deprivation Effect". The process of deprivation being the
resultant effect of number of force; interacting continuously overtime is named as
"prolonged deprivation". It is often substituted by "social disadvantage", 'cultural
differences, "educationally disadva~taged. or academically disadvantaged".
A review by Wang et.al (1930) indicated that metacognitive abilities are one
of the most important variables, w ~ ich affect students' progress. (1985) found
that many students did not appezr to have these skills, even at the upper end of
secondary school. It is important t3 know whether metacognitive abilities are just a
consequence of high general abiliiies or could be taught to pupils. An investigation
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Introduction
of this done by OSullivan and Presjely (1984) found teaching metacognitive skills
improved students' learning. This indicates that metacognitive abilities may have an
effect on progress in school and could be a useful target for teaching.
There do exists a large numter of studies that clearly indicate the prolonged
deficiencies caused for academic I educational disadvantage of the students. Those
deficiencies can not be removed by overnight. They have a history of generations.
All the deficiencies thus accumulat~d lead to the underdevelopment of cognitive
and reasoning skills of the children. While admitting that the deficiencies related to
family, social and cultural environments can be removed slowly and gradually by
the Nation with its schools and pkrls, the schools can simultaneously help children
develop their cognitive and reason ng skills by appropriate instructional skategies.
In this context, the investigator was motivated to enquire if the Concept Attainment
Model of teaching would be more effective than the traditional methods for this
development.
There are studies exhibiting -elation between cognitive abilities1 achievement
in different school subjeds and pro onged deprivation. Cmin and Weisman (1972);
Rath (1974); Singh and Sharaf (1977); Mihra and Tripathi (1980), and Panda
(1978, 1983) have made researches on impad of deprivation on cognitive abilities
and achievement in school subjects. Siller (1957) demonstrated that upper class
children exceeded their counterprts at lower socio-economic level in acquiring
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Introduction
concepts. Again Skypek (1967) confirmed significant relationship between
attainment of number concepts ard socio-economic status. Studies of Kapkn
(1968), Gilgudia (1972) and Baker (1973) highlighted the performance of
educationally disadvantaged group over their counterparts in the higher groups on
attainment of concepts. Specifically, Baker's study (1973) pointed out a lower rate
of concept attainment among dis,sdvantaged children than their counterparts.
Hence, the educationally/ academically disadvantaged group has some conditions
that halt their attainment of conceph.
Our Constitution aims at "education for all". And among the school subjects
Mathematics is the queen of aU sub,leds. In learning Mathematics the stress is given
to attainment of concepts because crf its logical structure. There arises the need for a
teaching strategy, which can be used for teaching concepts effectively. If the concept
attainment model of instruction h,is a positive influence on the achievement in
mathematics of academically disadvantaged students, this knowledge can be used
to solve problems of academically ~iiiadvantaged students and they can be brought
into the mainstream.
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1.3. Statement of the Problem.
It can be said that in no area: other than mathematics, there is constant and
systematic emphasis on the conceptual approach. Teaching of mathematics can be
equated to the development of conceptualised construction. Once the natural
numbers and their properties have been isolated as they were, by more abstract
thinking, which is able to reflect on the result of intention, Mathematics at once
becomes a more conceptualised co~lstruction. It can be seen that Mathematics is a
product of pure thought and mattematics learning is essentially based on basic
mathematics concepts, gradually building up of logical super structure of various
combination and applications at t'ie concepts. Therefore it is sure that level of
mathematics achievement depends upon the basic requirement of concept
attainment.
Can the Concept Attainmeit Model of instruction be effectively used for
Mathematics instruction? Is it feasib e for academically disadvantaged students? Can
the performance of educationally disadvantaged students be better using Concept
Attainment Model of instruction? Can the Concept Attainment Model of instruction
be effectively used for developing cognitive skills? When the studies were reviewed,
it was found that the concept attair ment model is an effective strategy for classroom
instruction, but whether or not it can make a steady progress in the learning by
academically disadvantaged students who constitute a considerable number in our
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class room. The investigator assumes that a model of instruction for the attainment
of concepts is effective for the studertts who are academically disadvanfaged. Based
on this assumption, the following prc~blem for this study is formulated.
"EFFECT OF CONCEPT ATTAINMENT MODEL OF INSTRUCTION ON
ACHIEVEMENT IN M A T H M I X S OF ACADEMICALLY DISADVANTAGED
STUDENTS OF SECONDARY SCHOCCS IN THE KERALA STATE.
1.4. Definition of Key Tenns.
The key terms used in the study are Concept Attainment Model of
instruction, Achievement in Mathematics and Academically Disadvantaged
Students. Their operational definiticns are given below.
1.4.1. Concept Attainment Model of instruction.
The Concept Attainment Pvlodel developed by Joyce and Weil (1985) is
based on Bruner's Theory of Concept Attainment. It is an indirect instructional
strategy that uses a structured inqui y process. The Concept Attainment Model is an
inductive teaching strategy designed to help students of all ages learn concepts and
practise analy&ical thinking skills. 'The Concept Attainment Model is designed to
capture the essential features of concept learning while at the same time extending
the thinking skills of students ( m ? n and Kauchak, 1988). It is the search for and
identification of attributes that can De used to distinguish examples of a given group
or categoy from non-examples.
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1.4.2. Achievement in Mathematics.
The misconception about achievement in any subject is that it is the students'
skill in remembering the content area of the subject that they study. Tests in
achievement are therefore prepard to assess students' knowledge in the subject
matter only, but in this study, deceloping students' cognitive skills which is the
principal goal of education has been included. The concept of achievement in
Mathematics has a dual goal of achieving the subject matter competency and
developing cognitive skills. The inv2stigator therefore includes the development of
cognitive skills as a part of achievement of students.
1.4.3. Academically Disadvantaged Students.
Academically Disadvantaged Student is one who is not succeeding or
underachieving in schools due to Limited proficiencies. Certain students especially
children of poor parents are brought up in inferior cultural environments that
deprived them of the skills, attitudes and acceptable behaviours that are transmitted
to students who grow up in the superior middle class culture. As a result they are
inadequately prepared to succeed in schools either academically or behaviourally.
Educationally / academically disadvantaged students are unable to succeed in
schools because their culture places them mentally disadvantageous (Grossmann,
1995). Passow (1970) defined them as one because of social or cultural
characteristics, for examples, soc al class, race, ethnic origin, poverty, geographic
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location, sex, etc., which impede learning. Wedge & Essen (1982) defined them as
that group of children who failed to thrive, who failed to mature as much, who have
failed to achieve as well in school as other children.
In this study, considering the related literature the investigator identified the
academically disadvantaged students by calculating an Academic Disadvantage
Index by putting appropriate weightage to their cognitive ability, home learning
environment, self concept, attitude towards mathematics, mathematics interest,
achievement motivation, and study habits.
1.5. Hypotheses.
The study aims to find out t le effectiveness of Concept Attainment Model of
instruction on achievement in ma* ematics of academically disadvantaged students.
It is assumed that the educational c isadvantage affects the attainment of concepts of
the subjects that students learn. And also, the achievement in mathematics including
development in cognitive skills dzpends upon the method of teaching adopted.
Educationally disadvantaged ancl advantaged students differ in terms of their
cognitive skills, linguistic ability, self-concepts, levels of educational aspiration, locus
of control, and social behavior. IZducationally disadvantaged students are having
special difficulties in developing concepts of an abstract nature and generalizing
them. In learning Mathematics the stress is given for the attainment of concepts
because of its logical structure. There arises the need for a strategy that can be used
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for the teaching of concepts effectively. On the basis of these assumptions the
following hypotheses are formulated The following hypotheses, if proved tenable,
would help us select an appropriate strategy to teach academically disadvantaged
students.
Mclfor Hvpothesis . The achieuement in math'ematics and the cognitive ability of the
academically disadvantaged s~udents taught in Concept Attainment
Model of instruction are significantly hfgher than that of the awdemically
disoduantaged students taught in Conventional Teaching Method.
H u ~ o t h e s i s I.
There is n o significant diflerence in the achievement in
mathematics and in the cognitive ability of the academically
disadvantaged and of the a c m h i c a t l y advantaged students when they
are taught lwing Concept Attainment Model of instruction.
Hv~othesis 11.
The relative progress ir~ achievement in mathematics and in the
cognitice ability, when taught using Concept Attainment Model of
instruction ond Convention111 Teaching Method, is higher for the
academically dlsaslocrntaged students than the a w d e m i d l y aducmtaged
students.
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Introduction
Humthesis 111.
The intelNgence and sodo-economic status of academically
disadvantaged students who learned mathematics using Concept
Attainment Mode l of instructton have only minimal influence on their
achievement in mathematics und also on cognitive abiiity.
1.6. Objectives of the Study.
The main objectives to colled data to prove the Hypotheses are:
(i) To find out the achievement in mathematics of the
academically disadvantaged students taught using Concept Attainment
Model of instruction and Coriventional Teaching Method.
(ii) To find out the cognitive ability of the academically
disadvantaged students tiught using Concept Attainment Model of
instruction and Convention? I Teaching Method.
(iii) To find out the achievement in mathematics of the
academically advantaged sudents taught using Concept Attainment Model
of instruction and Conventional Teaching Method.
(iv) To find out the cognitive ability of the academically
advantaged students taugbt using Concept Attainment Model of instruction
and Conventional Teachinq Method.
(v) To asses the intelligence level of the academically
disadvantaged students
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Introduction
(vi) To asses the so:io economic status level of the academically
disadvantaged students.
(vii) To examine tke influence of socio economic status and
intelligence of academically d~sadvantaged students on their achievement in
mathematics and also on tognitive ability when taught using Concept
Attainment Model of instruction
1.7. Scope and Limitations ofthe Study.
The present study is an experimental study aimed to find out the
effectiveness of Concept Attainmt?nt Model of instruction in the learning of
academically disadvantaged students. The scope, the definition and the objectives
of the study have been formulatec after locating the problem of how to help the
disadvantaged students by teachirg them using a modern method. One of the
content areas taken is "Sets" which is a fundamental requirement for any further
study and application in different a .eas of mathematics.
The Concept Attainment Model holds promise for future because the schools
of the future will be designed not only for learning but also for 'thinking'. It is
expected that the findings of the study will help the curriculum planners to make
needed changes in the content of the Mathematics textbook. By structuring the
contents of a subjed the curriculum designer can highlight the 'broad' principles of
the subjed matter and 'connectec ness' between the facts. Structured pattern of the
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Introduction
learning experiences prevents rapid 125s of memory and narrows the gap between
the advanced and elementary knowledge.
The experimental method wa:, found most appropriate for the present study.
A sample consisting of 505 studerts was taken for the study. The investigator
selected topics from mathematics textbook of standard VIII of the Kerala State
Syllabus. Only 32 concepts from three chapters were seleded for the study. Instead
of equated groups, only intact classroom groups were selected. This was delimited
by conducting pretest and posttesi and adopting the technique of ANCOVA to
analyse the test scores. A sincere at-empt was made from the part of investigator to
make this study as precise and obje 3ive as possible.
1.8. Organisation of the Report.
The study has been reported in six chapters as follows:
Chapter I. This chapter deals v~ith the conceptualiation of the problem, need
and significance of the study, sta-ernent of the problem, definition of key terms,
hypotheses, objectives of the study and scope and limitations of the study.
Chapter 11. The theoretical background of the Models of Teaching with special
reference to Concept Attainment b4odel of instruction is presented in this chapter.
Chapter 111. A survey of related studies pertaining to the present study is included
in this chapter.
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introduction
Chopter IV. In this chapter the methodology adopted for the study is described.
The variables used, the selection of t3ok used, the standardisation of tools for data
collection and the stafitical procedures adopted for analysing the test scores are
included.
Chapter V. It deals with analysis o: data and interpretation of test results.
Chapter VI. This chapter gives the summary of procedures adopted, followed by
the conclusions arrived at, educational implications of the study and suggestions
made for further research.
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Introduction
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Introduction
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