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Friday, October 21, 2011

A Study Of The Use Of Mathematics Laboratory For Teaching Mathematics By Developing A Strategy And Testing Its Effectiveness


Guide: Dr.S.S.Chaugule, Reader & Head Special Project Research Centre, YCMOU, Nasik, Maharashtra

Research student: Donnipad Manjunath

INTRODUCTION:

Mathematics, according in order to National Education Policy 1986, ought to be visualized because vehicle to coach a youngster that will think, reason, assess in addition to state logically. Apart coming from posting specific subject, them really should be addressed since a new concomitant to help just about any subject matter including study and reasoning. With the introduction regarding pc's throughout schools, informative computing and also emergence regarding learning through idea of cause-effect human relationships along with the interplay of variables, the actual teaching with Mathematics might be very well redesigned to bring that based on current manufacturing systems therefore that studying takes place effectively.

Learn ing frequently happens best when individuals possess options to help sole tips and acquire advice from their peers. But regarding suggestions to get nearly all handy to be able to learners, them should contain in excess of your supply of proper answers. Feedback should be analytical, to be suggestive, and also to take place at this time when individuals want in it. And then right now there need to be time to get students to be able to mirror on the suggestions many people receive, to produce alterations also to have a shot at again- a element math education that will had been neglected, on account of difficult practice associated with standard methods with teaching. It ended up being also noticed that; students exactly who often endeavor to solve workout routines regarding innovative mathematics topics by way of tips on finding the inter-connections and also who seem to discuss sensible issues based on watching tv are likely to score good inside mathematics examinations. Tea chers, who use of active knowing strategies for instance learners implementing math projects, connecting statistical information to everyday life any time fixing math problems and positively playing peer-group interaction have generally significantly added that will beneficial operation throughout mathematics.

The traditional didactic methods of educating should adequate to satisfy the particular demands of mathematics schooling consistent with National Education Policy 1986. In this mild connected with National Education Policy 1986, to acquire this expertise reiterated in the insurance plan so to give sensible experience regarding precise concepts, assumptions, assertions and rules, an appropriate means of instruction or a method for instructing mathematics along with a good platform to make use of this sort of method may be the have to have of hour. "Any plan and also a notion presented in the simple & correct variety plus the way that is certainly suitable to help learner's ability plus abilities provides the most beneficial associated with perception of this (Bruner 1966)".

Every college features a distinctive method with thinking, mastering and also generating perception connected with what exactly he/she listens as well as observes. Their productive visualization continuously builds brand new cable connections and assimilates innovative information. If the particular teacher is usually active presenter as well as persistently applying classic methods, the studying requires backseat along with in the process quite a few faulty ideas can also sort along with lead to several finding out gaps. These learning spaces should become identified, wondered plus corrected previous to they consequence in to misconceptions. These misguided beliefs bring about small self- efficaciousness amid learners producing lower efficiency in the topic with mathematics. Learner learns faster, as soon as he or she is affected by simply his peer nu mber and creating a sense involving optimistic interdependence, in addition decreasing the role of educator that will facilitator. However, cutting down this position of the teacher for you to facilitator and building an atmosphere regarding positive interdependence involving students, some sort of adjust with strategies to helping is actually inevitable requirement. In a standard study course associated with coaching math in a classroom, developing these kinds of ambiance because above mentioned just isn't possible.

So, a method pertaining to helping math in a very numerous nonetheless suited ambiance which might renovate the particular placement in the educator to help facilitator of mastering through a great authoritarian and productive speaker's part seemed to be the have belonging to the hour. Hence this particular experimental study was obtained up.

OBJECTIVES:

1. To discover numerous solutions being used around educating Mathemati cs throughout regular classes

2. To learn teachers opinions regarding Mathematics Laboratory

3. To acquire a technique being used with a Mathematics Laboratory arranged - up.

4. To test the helpfulness with the method produced with regard to instructing inside Mathematics Laboratory set-up

5. To advocate recommendations for any advancement regarding Mathematics Laboratory and coaching with Mathematics teachers

HYPOTHESIS

There ended up being no difference involving instructing Mathematics through Traditional Methods of training for you to that will associated with educating via a approach developed regarding teaching math around Mathematics Laboratory atmosphere.

ASSUMPTION

Teachers are not implementing Mathematics Laboratory as a system for educating Mathematics

LIMITATIONS OF STUDY

The research was constrained to merely Kendriya Vidyalayas' functioning in & all around Nasik region and also schools governed by means of State Government in addition to affiliated that will Central Board with Secondary Education as well. The students' piece of analyze had been restrained to elegance 10th students of Kendriya Vidyalaya, AFS Ojhar Nasik District, although teachers' test seemed to be minimal to classes functioning near Ojhar, Nasik District. The examination failed to grow just about any standardised exams or subconscious medical tests for that intent being study, although equipped a set of questions and also obtained checked through industry experts from Department involving Education, Yashwantrao Chavan Mahrashtra Open University.

VARIABLES OF THE STUDY

INDEPENDENT VARIABLE

Use regarding Strategy developed to show math throughout a Mathematics Laboratory

DEPENDENT VARIABLE:

Performance of learners and development inside their result

SAMPLE OF THE STUDY

For this particular experimental research purpose, two several biological materials have been preferred namely students' small sample and teachers' sample. The students' trial belonging to the study consisted of a total of 80 scholars connected with class X ordinary involving Kendriya Vidyalaya, Ojhar although teachers' taste contains 100 coaches associated with mathematics in the educational institutions in & about Ojhar Nasik District

The sample involving 80 students had been torn in to two groups' viz., taken care of along with experimental group. The two groups were matched on the time frame with their scars obtained inside course IX on the foundation of Continuous & comprehensive evaluation, a criteria currently being included in just about all Kendriya Vidyalayas' with regard to examining the particular performance individuals at the conclusion of the academics year.

The small sample associated with 100 instructors from Primary to senior citizen extra degree was chosen. However, 80% associated with lecturers selected were legitimate lecturers whom treated class tenth Mathematics.

TOOLS

Tools such as questionnaire, Visits, Observations in addition to Interviews were used with that study. Various Mathematics Laboratories situated different parts of country ended up visited in addition to observations were recorded, other than visiting on the web Laboratory with Lower Columbia College, Washington State University, USA. Mathematics Laboratory at NCERT, New Delhi, Ramanujam Institute regarding Mathematics Learning Chennai, Mathematics Laboratory around Mysore based universities functioning from Bangalore as well as Mathematics Laboratory at Homi Bhabha Science Education Centre, Mumbai as well as Department regarding Mathematics, IIT, Powai, Mumbai were stopped at and Interviews had been practiced on a variety of techniques and stra tegies becoming engaged to carry out the actions in Mathematics Laboratory. Based upon documented observations plus Interviews from Head, DESM, NCERT, Laboratory curators at Chennai plus Bangalore set of questions consisting of eighteen concerns seemed to be prepared to help give amid a hundred lecturers determined when teachers' sample study.

RESEARCH DESIGN

The research style with the research had been "Two Groups Posttest Experimental Design". Two categories namely, Control number as well as Experimental group ended up taken having them working with a total connected with 40 students. The Research Methodology was Quasi Experimental Research Methodology.

STRATEGY EVOLVED FOR TEACHING MATHEMTAICS IN A MATHEMATICS LABORATORY

A approach consisting of three diverse methods namely; Expository method, Cooperative Learning Method along with Problem Solving method in conjunction with Modelling appeared to be evolved. Th ese about three approaches were administered while one system but in three stages though coaching math within a Mathematics Laboratory. Each stage appeared to be characterized along with unique reviews as well as envisioned output. The part with teacher has been energetic throughout very first stage seeing that tutor demonstrates to mathematics employing Expository approach and while in later on a couple of stages where Cooperative Learning during 2nd point as well as problem resolving along with modelling from 3rd stage the factor associated with coach is usually a facilitator with learning. At finally stage teacher's purpose isn't just your facilitator involving learning and also assures some sort of understanding final result viz., public meaning with awareness getting assimilated by way of students.

PROCEDURE OF THE RESEARCH

Mathematics Laboratories working at NCERT, New Delhi as well as number of additional Laboratories centered at differen t component with the state ended up visited to record the findings about the using Mathematics Laboratory within day-to-day coaching leaning process. Interviews connected with Heads along with Laboratory curators ended up toted out. Laboratories performance overseas frequented on the web plus findings were being made. Interviews have been likewise maintained released which has a Lab Head-cum-Teaching helper with university associated with Lower Columbia, USA. Suggestions and also advice attempting to get snail mail communication has been completed that has a senior citizen Lecturer, Department of Mathematics Education, Education, School connected with Education, University associated with East Anglia Norwich. These suggestions and also assistance were being looked for previous to organizing your list of questions along with creating this strategy for instructing mathematics. On the actual time frame of findings plus interviews, a questionnaire composing of 18 doubts wa s well prepared and also had been validated by two experts, Department connected with Education, Yashwantrao Chavan Maharashtra Open University, Nasik Questionnaire has been gave among these a hundred course instructors selected in order to gather their own ideas as well as view on using Mathematics Laboratory, numerous Teaching Methods plus make use of software in educating mathematics. On the particular groundwork associated with responses; a statistical research and interpretations ended up drawn and then, a method composed of a few methods; viz., Expository method, Cooperative Learning Method and Problem Solving procedure coupled with Modelling was developed. The strategy changed had been utilized pertaining to 10 days to the Experimental collection to show math inside a Mathematics Laboratory atmosphere. The manage group ended up being trained identical mathematics subject material employing usual classroom teaching. The methods of teaching mathematics to overpo wer party were Traditional methods. The lesson projects (excluding this procedure for helping and Mathematics Laboratory), worksheets along with modules were the actual very same in order to together manage in addition to Experimental groups. At the completed with eight weeks; some sort of Posttest has been administered to each groupings to guage and assess the functionality involving students. Meanwhile your data accumulated by means of Questionnaire gave upon coaches with math and also posttest administered about students had been assessed and also Hypothesis has been examined utilizing statistical examination connected with significance. Hypothesis appeared to be terminated around the time frame involving statistical inference utilized plus come to the conclusion that; your method developed to educate mathematics in a mathematics laboratory has been successful as opposed to conventional strategies for teaching.

FINDINGS

Teachers which were qualified through behaviourist type are not aware of solutions like supportive Learning; guided-Expository in addition to problem-solving procedure integrated with modelling. So, these kind of methods have been less preferred to show math compared to standard didactic approaches such as Lecture; Lecture-Demonstration solutions Mathematics laboratory just isn't an crucial component to programs framework with Maharashtra. Mathematics laboratory cultivated homework attitude concerning students, any time it was before involved with system evolved Mathematics Laboratory as well as it's electric received a smaller amount relevance during training degree pursuit. Majority associated with in-service professors lack that expertise in the particular modus-operandi utilizing math laboratory for instructing mathematics at college level. Majority of teachers weren't offered in-service exercising in making use of computer systems along with software program to teach mathematics. Use connected with personal computer as well as exact software to show and supply conceptual understanding of mathematics around a Mathematics Laboratory produced positive reinforcement between students. Use connected with desktops and allied software has not been in the curriculum regarding instructing education pursuit. Hence lecturers regarding mathematics were not responsive to using computer as well as allied computer software to teach mathematics. Strategy developed for you to coach math assisted around successful articles management. Computer and also numerical software utilized in Mathematics Laboratory possesses presented hands-on expertise involving exact information trained The strategy evolved has additionally served scholars to learn the sociable importance associated with know-how learnt. 1 / 3 stage on the technique served teacher to build learning challenges as well as cases which will try really hard to involve scholars and stimulate curiosity abo ut how mathematics is definitely used within real existence situations. There is usually significant difference concerning this imply totals of Experimental Group as well as Control group. The t-test revealed that this t-value statistically came was 5.59 regarding their education of flexibility 78. When t-value appeared to be compared with 0.05 amount and 0.01 degrees involving significance for any identical penetration of freedom, that t-value came had been drastically more than both equally concentrations involving significance. So, the actual system advanced intended for teaching mathematics in a very mathematics laboratory ended up being helpful as compared with didactic classic methods.

RECOMMENDATIONS

The professors connected with math will that newly produced techniques or maybe tactics to teach mathematics instead of pursuing age-old approaches involving teaching. The coaches should certainly apply the actual strategy progressed intend ed for teaching math in math laboratory to improve their teaching experiences. Mathematics laboratory need to be made an fundamental portion of resume of math Mathematics Teaching could become executed in a Mathematics Laboratory by way of adding mathematics laboratory directly into regular curriculum. A particular curriculum within the type of credits is intended to be recommended as frequent syllabi to get Mathematics Laboratory and may even be manufactured them necessary to scholars for you to complete. Process associated with Evaluation and Assessment will end up being structured upon bare minimum availablility of credit completion. Completion involving this specific smallest number of obligatory credit by every single student at every single class may possibly be manufactured mandatory. Promotion to subsequent category might be linked with this particular required completion. Process of Evaluation and also Assessment strategies will possibly be adjusted to you r numerous formatting for instance making rubrics with regard to positive interdependence, collection examination abilities etc., hence that; academic efficiency regarding pupils may very well be much better in conjunction with societal skills as well as peer interaction. Teaching through computers will be introduced in the particular Basic coaching gradation pursuit. All the pre-service instructors shall find ample vulnerability in implementing embedded ambiance to be able to instruct mathematics. All In-service teachers will probably be provided training in Information & Communication Technologies, so that; the educating goes through may very well be enriched. Pre-service teacher-students be provided with a good publicity to be able to Mathematics Laboratory and it's practice around educating mathematics. Techniques or perhaps approaches to be able to combine it ICT will be shown during their trainer education and learning programme. Addition recruiting having ma th history may be offered for mathematics laboratory so that you can allow your learners to create a savings fund laboratory definitely not only in the course of their allocated periods, nevertheless also while in enjoyment durations In just about every university Mathematics Laboratory will probably be founded and educating regarding mathematics will probably be carried out through mathematics laboratory.

EDUCATIONAL IMPLICATIONS

This research has an affect upon the actual initiation of using math laboratory in educating associated with mathematics at secondary level. As the need permanently technique pertaining to training math in order to improve the result and efficiency regarding individuals throughout aboard examinations, this review features cast your mild about the make use of correct strategy that's the integration involving several methods of helping particularly Expository, Cooperative in addition to Problem Solving process combined with Modelling within a laboratory atmosphere. As for each this particular study, make use of approach advanced with regard to teaching mathematics within a Mathematics Laboratory since defined there are actually States like Mahrashtra in which Mathematics laboratory is just not an crucial portion of curriculum framework. So that study suggests that, math laboratory could be made a strong vital component of resume framework and also generate mandatory use of lab to get teaching mathematics. The best final result on the examine pointed out that; system has been simpler usage paradigm for educating mathematics as compared with common strategies for teaching. Furthermore, mathematics laboratory seemed to be your befitting system with regard to creating constructive interdependence as compared with classroom.

CONCLUSION

The analysis established that; regular didactic ways of coaching don't help understanding through comprehending nor give prospects to be able to students for you to tell their awareness by using true life, aside from building low performing artists inside the subject regarding mathematics. It ended up being even more organized that, using method advanced integrating some different strategies to helping mathematics in a Lab atmosphere gave much better performance involving students. So, this study located an optimistic and considerable relationship somewhere between that educational excellent connected with supplementary school students and the application of several strategies of training in a very Laboratory atmosphere. Hence, teachers teaching math would apply Mathematics Laboratory like a program and with the system or just about any procedure besides didactic solutions to produce a substantial influence inside the knowledge construction so that it will improve the effectiveness connected with this school students.

REFERENCES:

Alyas Qadeer Tahir, (2005), "A Comparative Study with the Effect of use of Information and Communication Technology in Varied Teaching Approaches on Achievement along with Retention regarding Students associated with Mathematics, Gomal University, Pakistan. Anderson, H (1989). The math Teaching Around your World, Mathematics Teacher, 5 (I), 13 - seventeen Bhalwankar, A.G. (1985); A Study of Effects with Expository and Guided Discovery Methods with Teaching Mathematics around the Achievement involving Students with Different Levels of Intelligence; Pune University, Pune Bharadwaj (1987); Standardization with Comprehensive Diagnostic Test as well as arrangement associated with Remedial Material in Mathematics with regard to Middle Standard individuals associated with Haryana; Kurukshetra University. Bernard Cohen, Sidney M. Edelstein Lecture, Baylor School, Kenneth Tobin, Research about Science Laboratory Activities: In Pursuit of Better Questions and Answers that will Improve Learning, School Science plus Mathematics, that (5), May/June 1990, p. 414. Buch M.B., Fourth Educational Survey (1983-1988), Volume - I, released by NCERT, Ministry regarding Human Resources Development, Government associated with India, New Delhi Buch M.B., Fourth Educational Survey (1988-1992), released simply by NCERT, Ministry associated with Human Resources Development, Government of India, New Delhi Dave, R.H., & Saxena, R.C. (1965), Curriculum & Teaching connected with Mathematics from the Higher Secondary Schools, NCERT, New Delhi David, W. Johnson (1994): Learning Together; Westport press, Connectuit, London Dutta, A., (1986), Bruner, J. (1966). Toward a Theory connected with Instruction. Cambridge, MA: Harvard University Press. Iqbal Muhammad (2004); Effect involving Cooperative Learning with Academic Achievement regarding extra school Students in Mathematics; University associated with Arid Agriculture, Rawalpindi Jain, S.L.; Burad. G.L. (1988) for Rajasthan Secondary Education Mathematics; Kasat, B.S. (1991) for Palghat Tehsil Chel, M.M.; (1990) for West Bengal Secondary Education Mathematics; Fifth Educational Survey (p.371 - p.375) Prof. Ramanujam, R. Dr. Ravi Subramanian & Group (2006) Position Paper - National Focus Group on Teaching of Mathematics - National Curriculum Framework (2005), NCERT publications, New Delhi Methods of Communication, A guide regarding M. Ed college students of YCMOU Nasik Mathematics Laboratory - Guidelines in order to Schools, Central Board of Secondary Education (2005), New Delhi Lulla, B.P., Shah, G.B.; & Darji, D.R.; (1966); An Investigation in to the Academic Causes associated with Backwardness throughout Mathematics for the Elementary Stage (Classes I - VII); Centre involving Advanced Study within Education ; Baroda


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