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CONJECTURES IN MATHEMATICS

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Dear All, Generalization is a very important tool for obtaining new results in mathematics. We first experiments with numbers and geometrical shapes and observe some patterns emerging and then we make some conjectures on the basis of these observations. These conjectures do not get the status of theorems unless these can be deducted either from certain axioms or can be deduced from other results which have been earlier proved in mathematics. Let us consider some examples of valid as well as invalid generalizations. CONJECTURES BASED ON PRIME NUMBERS: SOME MORE CONJECTURES: Conjectures are obtained by generalizations but only those generalizations are valid which can be proved rigorously. We must continue to generalize, but we must generalize with care. So, what did you conjecture today! Note: I could not type mathematical symbols on the blog. So, I have attached images in this post. Click here to download pdf file for printi...

Mathematics Movement Phase II - held at SDPS Pitam Pura

Dear All, S.D. Public School, Pitam Pura in collaboration with NCSTC, Department of Science and Technology is organized “Mathematics Movement - (Phase II)” from 3rd to 5th October 2013. There were many interactive sessions for the teachers and the students. The main focus of the event was to enhance the student’s skills in various areas of Mathematics. I had my sessions on all three days with class IX and X students. @ Mathematics Movement held at SDPS Day 1: An interdisciplinary activity relating mathematics with environment was taken. This activity was planned by Mr. Ajay Marwah (HOD – Math’s) from SDPS. Activity The calculations were based on rough estimation. While preparing myself for this activity, I came across another area where mathematics is used. It's about various paper sizes like A4, A3 etc. Some  interesting  results are here. I will be doing a project soon on this topic with my students. 1     2       3 ...