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Journal of Education and Practice                                                                         www.iiste.org
ISSN 2222-1735 (Paper) ISSN 2222-288X (Online)
Vol 3, No 7, 2012


 Some Methods of Effective Teaching and Learning Of Mathematics
                                                  A.O. Makinde
                            Department of education for the speech and hearing impaired,
                             Federal College of Education (special Oyo), Oyo Nigeria.
                                      E-mail: domakinde.comp@gmail.com
ABSTRACT
Evidence (Ale 2005) has shown the high level of failure rate of students in mathematics over the years. This is not
unconnected with the poor methods of teaching employed by mathematics teachers as well as the negative attitude of
the teacher himself which restrict the freedom of students to communicate freely whether inside or outside the class
setting. This further strengthens the negative feeling that students have towards mathematics. It should be noted that
if the record of failure in mathematics for the hearing students is on the high side, that of the hearing impaired will be
on the higher side. In this paper, some methods of teaching mathematics are looked into as well as some factors that
can either improve or hinder the success of these methods.
INTRODUCTION
Though mathematics is vital to student’s future and national development; its study has been ineffective in meeting
the demands of national development in Nigeria (Agwagah 2001). Students’ performance in mathematics
examinations, both internal and external, from year to year has never been encouraging as revealed by Ale in 2005
when he considered the WASCE result in mathematics between 1989 and 1998. The result shows the high level of
poor performance of students in mathematics.
Research reports have offered several reasons for the students’ poor performance in mathematics. The reasons
include;
  • Lack of qualified mathematics teachers (Adewumi, 1981; Ali 1985).
  • Student’s lack of interest and as well as negative attitude towards mathematics (Ale, 1989).
  • Teachers own negative attitude and incompetence in certain concepts (Badmus 1989).
  • Poor methods of the teaching applied by the teacher in the classroom
  • Teachers’ non-use of relevance instructional materials in the teaching of mathematics concepts (Agwagah
       2001).

          If all the reasons above can be greatly taken care of positively, there will be effective teaching and learning
of mathematics and for the hearing impaired this will go a long way to increase their high level man power in the
teaching of mathematics and other areas of sciences as well as creating a remarkable enthusiasm in students towards
mathematics. This will later boost the technological advancement of our great country Nigeria.
BASIC METHODS OF TEACHING MATHEMATICS
          The ideal teacher knows all about his children hearing or hearing impaired, how they grow, their needs and
capabilities as individual at each stage in their development. He is aware of the fact that they are learning indirectly
from their whole environment as well as from his direct teaching and he seeks to make the best use of both means [5].
The outcome of this approach may be interpreted as: child-centred teaching which in turn promotes learning and
makes the students confident and also ready to contribute to the teaching learning activities.
          For the teacher to be able to make the teaching child-centred, he must be confident of the subject matter, as
one cannot give what he does not possess. In this vein, it is important for the teacher to first reassured himself of the
main objects in teaching, then considers the value of the content of his teaching, distinguish between giving children
experience and causing them to learn. Only then can he turn his attention to the methods. Moreover activity is one of
the keynotes of modern education, and extension of the use of activity as a technique for teaching has given rise to
certain methods of effective teaching much talked about in education circles as given by Farrant (1964). These
include:
    I. Play-way methods
   II. The project method
  III. Centres of interest method
 IV. The assignment system
   V. Questioning method

                                                           53
Journal of Education and Practice                                                                        www.iiste.org
ISSN 2222-1735 (Paper) ISSN 2222-288X (Online)
Vol 3, No 7, 2012

Play-way method: This method of teaching was emerged from educational reformers like Froebel and Montessori
who appreciated the part served by play in learning. It helps feebleminded children to learn so well such that they out
stripped normal children in public examinations. This method reveals the truth of the theory of Newcomb et al,
(1994), who claimed that a person remembers 90 oo of what they say as they perform an activity [6]. The method is
base on the use of activity purposefully during teaching-learning periods. In such periods, the teacher engages the
students to perform an activity that will concretize the subject matter that is being introduced to them. This helps the
student to learn and be independent to work harmoniously with other students in the class to express himself and gain
experience, simultaneously this method can be used in the teaching of many concepts in mathematics like, fractions,
equations, permutations and combinations etc. This method if well used will surely go a long way in effective
teaching and learning even for the hearing impaired children.
The project method: This method came about as a result of the educational work of Dewey who lived in America at
the end of nineteenth century. He observed that the children were losing a great deal of the practical knowledge and
sense of cooperation that exists among the rural people. This method is based on the teacher assigning a particular
project to the students. His task in a project is simply to guide the children as they find the need for his help,
encourage his students by showing a lively interest in their work and assessing the value of the project by the quality
of learning shown in the work they produced. Moreover, this method makes learning real by presenting a real task for
the children to tackle. It makes learning effective because it supplies a concrete objectives so that the children know
that they had succeeded. This method also socialise learning because it is a combine effort, each individual
contributes his knowledge and skill to the success of this group work. This in turn makes the students to share
knowledge and skill which makes learning to take place generally among the students. It also enables the students to
discover several ideas about the subject matter. This method makes the students have an effective knowledge of the
subject matter that may be introduced by the teacher.
Centre of interest: This method is based on using a central topic of interest to the students in order to coordinate all
their learning for a length of time that may be as short as a few hours or as long as a few days. The skill of the
teacher lies in knowing which topic is suited to this kind of treatment. For example post office or functional activities
like buying and selling. This method could be used in the study of money, algebraic expression, equations, and
volumes of objects, just to mention a few.
The assignment system: This system of learning using the skilful organisation of individual assignment was worked
out by Hellen Parkhust in Dalton, U.S.A, and came to be known as Dalton Plan (Farrant 1964). In this method, the
student is given responsibility for his learning. The teacher prepares assignment in each topic for the students to
tackle individually, while the teacher is always available to advise and guide the student in case of any difficulty he
may encounter. This method as opposed to project method emphasis on individual, the method has several
advantages. It encourages initiative and independence, and provides students with the maximum amount of
individual practice. And assignment should always be a task which is within the capability of the student and has
some interest for him. It should always produce a result that can be seen so that the student can see what he has
achieved and the teacher can assess the pupil’s progress.
Question method: This method is based on the ability of the teacher to pose appropriate questions which only invite
but provoke and ignite students’ intuition and thinking. This teaching methodology also encourages interaction and
discussions among teachers to jointly shone and criticize and rebuild their teaching practices.
      The above methods or any other method, if properly used singly or combining two or more would yield desired
result in the mathematics teaching-learning procedure not only for the hearing but also for the hearing impaired.
      It is important to note that, no matter how effective a method of teaching, its success rate lies greatly on the
attitude of the teacher. Negative attitude from the teacher to the student’s can cause a permanent damage to their
interest in mathematics. Some teachers are not approachable, hence students find it difficult to seek help thus
remediation is not effective because effective means of teaching is lacking (popoola, 2006). Thus, failure in
mathematics continues to pass on from age to age, thus making the difficulty of students in mathematics to be
persistent and continuous. In view of this, the present day teachers should turn over a new leave in the discharge of
their pedagogies so as to reduce the failure rate in mathematics both internal and external examination. Not only that,
the interest of students in mathematics both hearing and hearing impaired will be greatly increased. Also, the activity
based method of teaching mathematics will enable even the hearing impaired students to discover some of the
applications of some of the subject matter in mathematics to real life situation.
      Mastery of the subject matter plays a great role both in the teacher’s attitude towards the students and the
                                                          54
Journal of Education and Practice                                                                      www.iiste.org
ISSN 2222-1735 (Paper) ISSN 2222-288X (Online)
Vol 3, No 7, 2012

teaching methodology. It is advised that teachers consult several texts on the topic to be taught. This will enable the
teacher to draw similarity and differences in approach which will help him to device a good method of teaching and a
better way explaining each step of the teaching which will make learning to take place and permanent in students.
     The teacher student’s ratio is another obstacle in the teaching and learning of mathematics. In a situation where
a teacher will take six arms of class of 120 students each in a day, it will be difficult for the teacher to employ
effectively any of the above mentioned methods. Also, not many want to study mathematics or take mathematics as a
teaching subject in higher institutions of learning. This keep on reducing the number of teachers of mathematics
compared to other subjects. This seriously needs the intervention of the government to avail the situation. The
government in developing countries especially Nigeria have to show sensitivity to the improvement of teaching and
learning of mathematics so as to increase the rate of technological development in our country.

CONCLUSION
The teacher having a positive attitude towards the students enables the students to communicate freely in the class
and participate fully in all respect. He should also try to have a good mastery of the subject matter. When these are
put in place, using any of the above teaching method will yield desired results. The teachers should also derive joy in
the success of their students.
      For the teachers to discharge their duty effectively, government also have significant role to play. The
government need to employ more qualified mathematics teachers so that the teacher student’s ratio will be the
maximum. Incentive should also be given to the best mathematics teacher of the year and the best mathematics
students of the year. This will enable the teacher to put in their best to make their class students oriented and the
students will then work harder in order to achieve good performance in mathematics.

REFERENCES
Adewunmi, D.O., The effect of qualified mathematics Teachers, journal of science teachers association of Nigeria
(STAN) vol 20, (2) 1981
Ale, S.O. and L.O. Adetula, Mathematics improvement project (NMC-MIP): A way to enhance student performance
in mathematics, Nigerian journal of professional Teachers vol No 1, pg 17-24.
Ali, A.. Teacher efficiency and effectiveness in the use of scheduled teaching time. Nigeria elementary school
teachers and their American counterparts. Occasional publication. Institute of education U.N.N Nsuka, 1985.
Badmus, G.A.., Trends in preparation of mathematics teachers for post-primary institution in Nigeria: A response
education. Abacus: Journal of mathematics association of Nigeria vol 19 (1), pg 88-89 1989.
Farrant, J.S., Principles and practise of education, Longman group limited London 1964.
Popoola, F.R and Olarennwaju, R.R., International journal of research in education vol 3 No 1. Pg 174-184 2006.




                                                         55
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Effective Teaching Methods for Mathematics

  • 1. Journal of Education and Practice www.iiste.org ISSN 2222-1735 (Paper) ISSN 2222-288X (Online) Vol 3, No 7, 2012 Some Methods of Effective Teaching and Learning Of Mathematics A.O. Makinde Department of education for the speech and hearing impaired, Federal College of Education (special Oyo), Oyo Nigeria. E-mail: domakinde.comp@gmail.com ABSTRACT Evidence (Ale 2005) has shown the high level of failure rate of students in mathematics over the years. This is not unconnected with the poor methods of teaching employed by mathematics teachers as well as the negative attitude of the teacher himself which restrict the freedom of students to communicate freely whether inside or outside the class setting. This further strengthens the negative feeling that students have towards mathematics. It should be noted that if the record of failure in mathematics for the hearing students is on the high side, that of the hearing impaired will be on the higher side. In this paper, some methods of teaching mathematics are looked into as well as some factors that can either improve or hinder the success of these methods. INTRODUCTION Though mathematics is vital to student’s future and national development; its study has been ineffective in meeting the demands of national development in Nigeria (Agwagah 2001). Students’ performance in mathematics examinations, both internal and external, from year to year has never been encouraging as revealed by Ale in 2005 when he considered the WASCE result in mathematics between 1989 and 1998. The result shows the high level of poor performance of students in mathematics. Research reports have offered several reasons for the students’ poor performance in mathematics. The reasons include; • Lack of qualified mathematics teachers (Adewumi, 1981; Ali 1985). • Student’s lack of interest and as well as negative attitude towards mathematics (Ale, 1989). • Teachers own negative attitude and incompetence in certain concepts (Badmus 1989). • Poor methods of the teaching applied by the teacher in the classroom • Teachers’ non-use of relevance instructional materials in the teaching of mathematics concepts (Agwagah 2001). If all the reasons above can be greatly taken care of positively, there will be effective teaching and learning of mathematics and for the hearing impaired this will go a long way to increase their high level man power in the teaching of mathematics and other areas of sciences as well as creating a remarkable enthusiasm in students towards mathematics. This will later boost the technological advancement of our great country Nigeria. BASIC METHODS OF TEACHING MATHEMATICS The ideal teacher knows all about his children hearing or hearing impaired, how they grow, their needs and capabilities as individual at each stage in their development. He is aware of the fact that they are learning indirectly from their whole environment as well as from his direct teaching and he seeks to make the best use of both means [5]. The outcome of this approach may be interpreted as: child-centred teaching which in turn promotes learning and makes the students confident and also ready to contribute to the teaching learning activities. For the teacher to be able to make the teaching child-centred, he must be confident of the subject matter, as one cannot give what he does not possess. In this vein, it is important for the teacher to first reassured himself of the main objects in teaching, then considers the value of the content of his teaching, distinguish between giving children experience and causing them to learn. Only then can he turn his attention to the methods. Moreover activity is one of the keynotes of modern education, and extension of the use of activity as a technique for teaching has given rise to certain methods of effective teaching much talked about in education circles as given by Farrant (1964). These include: I. Play-way methods II. The project method III. Centres of interest method IV. The assignment system V. Questioning method 53
  • 2. Journal of Education and Practice www.iiste.org ISSN 2222-1735 (Paper) ISSN 2222-288X (Online) Vol 3, No 7, 2012 Play-way method: This method of teaching was emerged from educational reformers like Froebel and Montessori who appreciated the part served by play in learning. It helps feebleminded children to learn so well such that they out stripped normal children in public examinations. This method reveals the truth of the theory of Newcomb et al, (1994), who claimed that a person remembers 90 oo of what they say as they perform an activity [6]. The method is base on the use of activity purposefully during teaching-learning periods. In such periods, the teacher engages the students to perform an activity that will concretize the subject matter that is being introduced to them. This helps the student to learn and be independent to work harmoniously with other students in the class to express himself and gain experience, simultaneously this method can be used in the teaching of many concepts in mathematics like, fractions, equations, permutations and combinations etc. This method if well used will surely go a long way in effective teaching and learning even for the hearing impaired children. The project method: This method came about as a result of the educational work of Dewey who lived in America at the end of nineteenth century. He observed that the children were losing a great deal of the practical knowledge and sense of cooperation that exists among the rural people. This method is based on the teacher assigning a particular project to the students. His task in a project is simply to guide the children as they find the need for his help, encourage his students by showing a lively interest in their work and assessing the value of the project by the quality of learning shown in the work they produced. Moreover, this method makes learning real by presenting a real task for the children to tackle. It makes learning effective because it supplies a concrete objectives so that the children know that they had succeeded. This method also socialise learning because it is a combine effort, each individual contributes his knowledge and skill to the success of this group work. This in turn makes the students to share knowledge and skill which makes learning to take place generally among the students. It also enables the students to discover several ideas about the subject matter. This method makes the students have an effective knowledge of the subject matter that may be introduced by the teacher. Centre of interest: This method is based on using a central topic of interest to the students in order to coordinate all their learning for a length of time that may be as short as a few hours or as long as a few days. The skill of the teacher lies in knowing which topic is suited to this kind of treatment. For example post office or functional activities like buying and selling. This method could be used in the study of money, algebraic expression, equations, and volumes of objects, just to mention a few. The assignment system: This system of learning using the skilful organisation of individual assignment was worked out by Hellen Parkhust in Dalton, U.S.A, and came to be known as Dalton Plan (Farrant 1964). In this method, the student is given responsibility for his learning. The teacher prepares assignment in each topic for the students to tackle individually, while the teacher is always available to advise and guide the student in case of any difficulty he may encounter. This method as opposed to project method emphasis on individual, the method has several advantages. It encourages initiative and independence, and provides students with the maximum amount of individual practice. And assignment should always be a task which is within the capability of the student and has some interest for him. It should always produce a result that can be seen so that the student can see what he has achieved and the teacher can assess the pupil’s progress. Question method: This method is based on the ability of the teacher to pose appropriate questions which only invite but provoke and ignite students’ intuition and thinking. This teaching methodology also encourages interaction and discussions among teachers to jointly shone and criticize and rebuild their teaching practices. The above methods or any other method, if properly used singly or combining two or more would yield desired result in the mathematics teaching-learning procedure not only for the hearing but also for the hearing impaired. It is important to note that, no matter how effective a method of teaching, its success rate lies greatly on the attitude of the teacher. Negative attitude from the teacher to the student’s can cause a permanent damage to their interest in mathematics. Some teachers are not approachable, hence students find it difficult to seek help thus remediation is not effective because effective means of teaching is lacking (popoola, 2006). Thus, failure in mathematics continues to pass on from age to age, thus making the difficulty of students in mathematics to be persistent and continuous. In view of this, the present day teachers should turn over a new leave in the discharge of their pedagogies so as to reduce the failure rate in mathematics both internal and external examination. Not only that, the interest of students in mathematics both hearing and hearing impaired will be greatly increased. Also, the activity based method of teaching mathematics will enable even the hearing impaired students to discover some of the applications of some of the subject matter in mathematics to real life situation. Mastery of the subject matter plays a great role both in the teacher’s attitude towards the students and the 54
  • 3. Journal of Education and Practice www.iiste.org ISSN 2222-1735 (Paper) ISSN 2222-288X (Online) Vol 3, No 7, 2012 teaching methodology. It is advised that teachers consult several texts on the topic to be taught. This will enable the teacher to draw similarity and differences in approach which will help him to device a good method of teaching and a better way explaining each step of the teaching which will make learning to take place and permanent in students. The teacher student’s ratio is another obstacle in the teaching and learning of mathematics. In a situation where a teacher will take six arms of class of 120 students each in a day, it will be difficult for the teacher to employ effectively any of the above mentioned methods. Also, not many want to study mathematics or take mathematics as a teaching subject in higher institutions of learning. This keep on reducing the number of teachers of mathematics compared to other subjects. This seriously needs the intervention of the government to avail the situation. The government in developing countries especially Nigeria have to show sensitivity to the improvement of teaching and learning of mathematics so as to increase the rate of technological development in our country. CONCLUSION The teacher having a positive attitude towards the students enables the students to communicate freely in the class and participate fully in all respect. He should also try to have a good mastery of the subject matter. When these are put in place, using any of the above teaching method will yield desired results. The teachers should also derive joy in the success of their students. For the teachers to discharge their duty effectively, government also have significant role to play. The government need to employ more qualified mathematics teachers so that the teacher student’s ratio will be the maximum. Incentive should also be given to the best mathematics teacher of the year and the best mathematics students of the year. This will enable the teacher to put in their best to make their class students oriented and the students will then work harder in order to achieve good performance in mathematics. REFERENCES Adewunmi, D.O., The effect of qualified mathematics Teachers, journal of science teachers association of Nigeria (STAN) vol 20, (2) 1981 Ale, S.O. and L.O. Adetula, Mathematics improvement project (NMC-MIP): A way to enhance student performance in mathematics, Nigerian journal of professional Teachers vol No 1, pg 17-24. Ali, A.. Teacher efficiency and effectiveness in the use of scheduled teaching time. Nigeria elementary school teachers and their American counterparts. Occasional publication. Institute of education U.N.N Nsuka, 1985. Badmus, G.A.., Trends in preparation of mathematics teachers for post-primary institution in Nigeria: A response education. Abacus: Journal of mathematics association of Nigeria vol 19 (1), pg 88-89 1989. Farrant, J.S., Principles and practise of education, Longman group limited London 1964. Popoola, F.R and Olarennwaju, R.R., International journal of research in education vol 3 No 1. Pg 174-184 2006. 55
  • 4. This academic article was published by The International Institute for Science, Technology and Education (IISTE). The IISTE is a pioneer in the Open Access Publishing service based in the U.S. and Europe. The aim of the institute is Accelerating Global Knowledge Sharing. More information about the publisher can be found in the IISTE’s homepage: http://www.iiste.org The IISTE is currently hosting more than 30 peer-reviewed academic journals and collaborating with academic institutions around the world. Prospective authors of IISTE journals can find the submission instruction on the following page: http://www.iiste.org/Journals/ The IISTE editorial team promises to the review and publish all the qualified submissions in a fast manner. All the journals articles are available online to the readers all over the world without financial, legal, or technical barriers other than those inseparable from gaining access to the internet itself. Printed version of the journals is also available upon request of readers and authors. IISTE Knowledge Sharing Partners EBSCO, Index Copernicus, Ulrich's Periodicals Directory, JournalTOCS, PKP Open Archives Harvester, Bielefeld Academic Search Engine, Elektronische Zeitschriftenbibliothek EZB, Open J-Gate, OCLC WorldCat, Universe Digtial Library , NewJour, Google Scholar