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**ABSTRACT**

*This research work is a survey design, conducted to find out the problems militating against the effective teaching and learning of mathematics in junior secondary schools in Enugu West Senatorial Zone.* *Randomly sampling method was used to select six teacher and 24 students each from the six sample schools. The researchers used structured questionnaires to collect data from the respondents and also mean of the respondents in the data analysis. After some investigations, these findings were made;*

*The qualification of teachers teaching mathematics, attitude of students towards mathematics, extent of usage of available instructional materials and environmental factors affecting the teaching and learning of mathematics. In the light of this findings the following recommendations were made. Teachers should consciously train in institutions of higher learning, schools should organize work shops and seminars to update their teachers’ teaching ability. Public and school enlightenment should be carried out on the importance of mathematics so as to eliminate in students every negative attitudes towards mathematics and finally government and school managements must ensure that learning environment are condusive for learning.*

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**TABLE OF CONTENTS**

COVER PAGE I

TITLE PAGE II

APPROVAL PAGE III

DEDICATION IV

ACKNOWLEDGEMENT V

ABSTRACT VI

TABLE OF CONTENTS VII

**CHAPTER ONE**

BACKGROUND OF STUDY 1

STATEMENT OF PROBLEM 5

PURPOSE OF STUDY 6

SIGNIFICANCE OF STUDY 7

RESEARCH QUESTIONS 8

**CHAPTER TWO**

LITERATURE REVIEW 9

LACK OF ADEQUATE QUALIFIED TEACHERS 13

THE ATTITUDES OF STUDENTS TOWARDS

MATHEMATICS 15

FACTORS AFFECTING THE UTILIZATION OF

AVAILABLE INSTRUCTIONAL MATERIALS 17

ENVIRONMENT AS A FACTOR AFFECTING THE

TEACHING AND LEARNING OF MATHEMATICS 21

SUMMARY 23

**CHAPTER THREE**

RESEARCH METHOD 24

DESIGN OF THE STUDY 24

AREA OF THE STUDY 24

POPULATION OF THE STUDY 25

SAMPLE AND SAMPLING TECHNIQUE 25

INSTRUMENT FOR DATA COLLECTION 25

VALIDATION OF INSTRUMENT 26

ADMINISTRATION OF INSTRUMENT 26

DECISION RULE 26

**CHAPTER FOUR**

PRESENTATION AND ANALYSIS OF DATA 27

**CHAPTER FIVE**

DISCUSSION OF RESEARCH FIDINGDS 34

EDUCATIONAL IMPLICATION 35

SUMMARY 36

RECOMMENDATION 36

SUGGESTION FOR FURTHER RESEARCH 37

CONCLUSION 38

APPENDIX 39

QUESTIONNAIRES 40

REFERENCE 42

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**CHAPTER ONE**

**INTRODUCTION**

**Background of the study**

Mathematics is a pure science that requires intellectual activity in calculation designed to discover information about the world. It is one of the core subject recommended in the national policy on education at both primary and post primary education. This suggests the importance attached to mathematics whose knowledge is required by every member of the society in view of it’s usefulness in day-to-day activities.

The general aims of mathematics based on mathematics conference held in Kaduna in 1998, identified the following aims:-

(1) To help students develop a belief in the value of mathematics and it’s usefulness to them.

(2) To nurture confidence in their own mathematical ability.

(3) To foster a sense of personal achievement, and to encourage a continuity and creative interest in mathematics.

(4) To develop in student’s skills, concepts, understanding and attitude, which will enable them to cope confidentially with mathematics of everyday life.

(5) To develop a variety of approaches to solving problems involving mathematics and to develop the ability to think and reason logically.

(6) To assist students to achieve the mathematical and statistical literacy needed in the society, which is technologically oriented and information rich.

(7) To provide a foundation for those students who may wish to continue studies in mathematics or other learning areas where mathematical concepts are central.

(8) To help to foster and develop mathematical talent in students and finally;

(9) To induce or build into students the ability to think creatively, critically,

strategically and logically.

The achievement of these objectives at the junior secondary school would serve as foundation or preparatory knowledge, especially for those wishing to study engineering, medicine, agriculture, science and technology at institutes of higher learning and in dealing with other science subjects like physic and chemistry in senior secondary school that is why mathematics is made compulsory for every student in junior secondary in Nigeria, this made it an inevitable subject.

According to Oxford Advanced Learner’s Dictionary (2000), Mathematics is a science of number and shape, which includes as its main division, geometry, arithmetic, algebra and trigonometry.

Mathematics is a science of structures, order and relations that has evolved from elemental practice of counting, measuring and describing the shapes of objects. Encyclopeadia Britannia (1994).

Mathematics is the study of measurement, properties and relationship of quantities and sets, using numbers and symbols. American Heritage Dictionary (2000).

According to Walfram math world (1995), Mathematics is a board ranging field of study in, which the properties and interaction of idealized objects are examined.

Mathematics is the language of the universe Smith (1996). Because our universe is mathematically designed, Umar (1995), conceptualized mathematics as a language, which provides an indispensible means of investigating the nature of things particularly those, which are dealt with in the field of science. He pointed out that every field of science and technology has some substantial mathematical content though of different degrees.

In support of the above, Ezeilo (1981), noted that there can be no real technological development without a corresponding development in mathematics both as conceived and at practiced.

The teaching of mathematics in junior secondary school exposes students to a mathematical world, and it wonders, thus laying a solid foundation for them.

Umoinyang (1997), referred to mathematics as the foundation for science without, which a nation can never be prosperous and economically independent. He further noted that competence in mathematics provides many of the opportunity for career choice and production of highly defined personnel required by industry, technology, science and education.

For more than two thousand years, mathematics has been a part of human search for understanding. Mathematical discoveries have come both from the attempt to describe the natural world and from the desire to arrive at a form of inescapable truth from careful reasoning. These remains fruitful and important motivation for mathematical thinking, but in the last century mathematics has been successfully applied to many other aspects of the human policies, the analysis of automobile, traffic pattern and long term strategies for sustainable harvest of decidious forest.

Today mathematics as a mode of thought and expression is more valuable than ever before. Learning to think mathematically is an essential part of becoming a liberally educated person.

There is more to mathematics than just proof. Indeed the vast majority of people who earn their living doing mathematics are not engage in finding proof at all, their goal is to solve problem to whatever degree of accuracy or certainty is required. While proof remains the ultimate goal standard for mathematical truth, conclusion reached on two basis of assessing the available evidence have always been a valid part of the mathematics enterprise Keith Devlin (2009).

Since mathematics was introduced into the syllabus with proper study, so many problems has risen like the use of unqualified teachers in the teaching of mathematics in our different schools, who do not have knowledge about the subject mathematics or not mathematically inclined. The non-challant attitudes of students towards mathematics and learning at large, due to the lack of use of motivational approach by the teachers.

The poor environment and lack of infrastructural facilities has led to failure in the teaching and learning of mathematics. The total failure in the usage of instructional material due to poor knowledge of instructional aids by teachers, all these has led to failure in effective teaching and learning of mathematics. We therefore have to go into this research to find a possible solution to the many problems.

Therefore, saying that the teaching and learning of mathematics in junior secondary school is very essential no doubt as it is regarded as a yard stick in the development of any nation.

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**Statement of Problem**

The ultimate aim of education is to provide knowledge to the world. In an effort to achieve this, knowledge has been divided into a system of studies called subjects with mathematics as one of the elements of the system.

Schooling in developing countries like Nigeria can be tedious and difficult. Imagine where schooling takes place under conditions that are very different from those in developed countries. Students are likely to attend schools that are poorly constructed and under miserable equipment like no windows or doors, no place for student to sit but cracked cemented dirty floor, some times teaching and learning takes place under the trees with very bad chalkboard, that students can hardly see what is written on the board clearly.

The curriculum is poorly designed, learning environment typically has few resources and class rooms would have students to accomodate, many of whom are chronically undernourished, parasite ridden and hungry. The job of educating these students is significantly more difficult, with the use of inexperienced, untrained and unqualified teachers in the teaching of mathematics in our different schools can be discouraging, teachers who are not masters in the subject mathematics, they tend not to motivate the student in to seeing the importance and wonders they are to see and gain in the knowledge of mathematics, thereby making students take to play rather than studying.

Teachers neglect the use of instructional materials in the teaching and learning of mathematics. They engage themselves with chalk and talk method of teaching, which lives the students with little or no understanding.

The above prompted the researchers to identify problems militating against the effective teaching and learning of mathematics in junior secondary school of Enugu West Senatorial District.

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**Purpose of The Study**

The main purposes of this study is to find out the problem militating against the effective teaching and learning of mathematics in Junior Secondary Schools.

- The qualities of teachers teaching mathematics in junior secondary school.
- The attitudes of students towards learning of mathematics in junior secondary school
- The factors militating against effective utilization of available instructional material in the teaching of mathematics.
- The extent at which school environment affect the teaching and learning of mathematics.

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**Research Questions**

- What are the qualities of teachers teaching mathematics in our junior secondary schools?
- What are the attitudes of students towards mathematics?
- What are the factors militating against the effective utilization of available instructional material in the teaching of mathematics?
- To what extent is school environment affecting the teaching and learning of mathematics?

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**Significance of The Study**

This research study will be of great help to students, teachers, curriculum planners and the society at large in the following ways;

The findings of this research will help students who are directly concerned to appreciate the subject mathematics, encouraging them to put more effort in the study since it is inevitable. This research study will expose the importance of mathematics, it wonders and the fun and happiness it gives, making them understand that mathematics is an easy subject so as to remove every negative sentiments, attitudes and fear students have towards the study of mathematics.

This research will expose areas the teachers need to put more efforts in the teaching of mathematics. It will further help teachers in employing better techniques and methods of teaching to the best understanding of the students.

The research study will be of immense help to the prospective and present curriculum planners. It will enlighten and widen their knowledge towards making an effective curriculum that will be better understood by the teacher who is to implement it, to achieve its objectives.

This research study is an eye opener to the general public in making people see the importance of mathematics and it’s usefulness in day-to-day activities and the indispensable contribution of mathematics in nation building.

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**Hypothesis**

**H _{1}: **There is a significant different in the mean response (P<0.05) between teachers with bachelors in mathematics education and those with N.C.E qualification.

**H _{2}: **There is no significant difference in the mean attitude response (P<0.05) between students with positive attitudes in mathematics studies and those with negative attitudes.

**H _{3}:** There is no significant difference in the mean response (P<0.05) between students taught under condusive environment and those taught under uncondusive environment.

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