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Mathematics and Cycle

  L et us talk about this Cycle. Those who know how to ride it know how easy and enjoyable it is to go for a long ride in nice weather and location. They can also recall;  how difficult it was to even hold it when they were not knowing how to ride them. Most likely, they didn't become comfortable with cycle immediately. They might have fallen few times, might have struggled to balance and might have even lost motivation to learn cycling. But  now they might be looking for opportunities to ride a cycle. Learning Mathematics is similar to learning cycling. You make errors, struggle to get the concept, lose interest and it becomes more difficult. But once you overcome these, it becomes a favorite subject. Solving Mathematics problems can even become stress buster. When someone is training you how to cycle, he may make you familiar with a cycle. He will tell you about seat, handle, peddle etc. He will tell you about how to sit on the seat, keep the foot on the peddle, hold the handle,

C-I-Y (Check it yourself) -- Different Learning Environments

  Here, we take a question and create three learning environments. You can check yourself, which environment offers what benefits. We talk about a formal learning environment where student is a part of school/ college/ coaching/ tuition etc. and is helped by the teacher in learning various topics as per the prescribed syllabus. These learnings are immediately helpful in getting marks in the examination but are also highly required in various applications and competitive examinations at later stage. So, learning them right at the time they are being learnt is necessary to avoid various blockages that can restrict the growth later. Let us take 3 scenarios: Scenario A:  Student asks a question. Teacher answers that. Student is now able to answer that question. Scenario B: Student asks a question. Teacher also asks few questions to understand why the student had to ask it. He determines the area of difficulty for the student and helps student to answer the question by addressing the proble