Background: There are more than 250 Universities and 14,000 colleges in our country pro-viding undergraduate education to our students. About 50% of these institutions are engaged in teaching of Mathematics as one of the major disciplines. It is, therefore, obvious that we have about 25 to 30 thousand teachers engaged in teaching mathematics to our undergraduates and postgraduates. These teachers are appointed on the basis of their academic meritand a NET/SET examination conducted by the UGC and several individual States. Bulk of our research scholars learn their ﬁrst lessons of higher mathematics only from these teachers.Unfortunately, however, the subject-knowledge of these teachers is mostly imperfect or vague and they are quite often unable to encourage their students to learn mathematics in the rightspirit. Working out mathematical exercises, for instance, which is the best method of learningmathematics, is almost non existent in most of our colleges and universities. Consequently,even the best of the students are unable to get any kind of excitement of doing mathematics and are rather left confused. This is quite a serious drawback in our teaching of mathematics.Therefore, something concrete needs to be done to remedy this situation.
The proposal: Looking at the positive impact of the ATM programmes on research scholars,there has been a constant thinking among the members of the National Coordinating Commit-tee and also of the NBHM Advisory Committee that there should be a separate programme,on the pattern of the above ATM programmes, exclusively meant for our young universityand colleges teachers. Clearly, the contents of these programmes for have to be diﬀerent from the contents for research scholars. Training these teachers is very desirable because our future mathematicians get their ﬁrst encounter of learning serious mathematics only through suchteachers. It is for this reason that, this matter was included as an agenda item in a joint meet-ing of the National Coordinating Committee and the NBHM Advisory Committee in December2005. After a through discussion of the issues involved it was unanimously agreed by the joint committee that a separate training programme for the University and College teachers must be started under the umbrella of ATM programmes.
Resolution of the joint Committee: It is believed that the quality of mathematics teaching is gradually deteriorating in colleges and universities across the country. The members felt theneed of establishing a regular training programme specially for college teachers. Due to gap in the age and diﬀerence in motivating factors, it is not possible to allow them in large numbers in the Annual Foundation Schools and the Advanced Instructional Schools. Moreover the level of courses can not be as high as it is in the current ATM schools which are primarily designed for research scholars.
Salient features of this programme
- Duration: Since college teachers cannot ﬁnd time for long duration, these programmes are proposed to be of two weeks duration during Winter vacation and one month long duration in Summer vacation.
- Subjects: Each one month (two week) long programme will be dedicated to two (one) subjects.
- Number of speakers: In a two week programme two speakers will share teaching for one and half hour each day in the mornings. In a month long programme a total of four speakars will conduct the whole programme. The speakers will conduct tutorials with the help of two tutors in the afternoon for two hours.
- Lecture notes: Booklets of lecture notes and problem-sets will be distributed during the programme. The lecture notes will emphasize novel examples and connections with other ﬁeld of mathematics.
- Mathematical software: Lectures and tutorials of free mathematics softwares in the subjects of the school will be arranged. Teachers will also be informed of free journals and data bases such as MathSciNet available on the Net.
- Special lectures: One or two special lectures will be organized per week on interesting themes related to the subjects being covered.
- Eligibility: Only those teachers are eligible to participate who have passed NET/SET or an equivalent examination. Younger teachers will be given preference in selection.
- Criteria for selection
- (a) Every participant must be a permanent lecturer in a College/University.
- (b) He must be preferably below 30 years of age and should have cleared NET/SET/Ph.D.
- (c) Preference will be given to teachers who are involved in Maths Olympiad etc.
- Linear Algebra
- Multivariate Calculus
- Diﬀerential Geometry
- Real Analysis
- Complex Analysis
- Measure Theory
- Graph Theory
- Functional Analysis
- Number Theory
- Numerical Analysis
- Diﬀerential Equations
- Functional Analysis
- Data Structures & Algorithms,
- Probability Theory