Brainpage theory is not hypothesis, but the reality of knowledge transfer. About 20 years ago, the word ‘brainpage’ was originated in the classroom of mathematics, especially from worked out examples. All types of learning transfer are ultimately transformed into the motor knowledge of brain mechanism through cerebellar basal ganglia circuitry. This is known as the motor science of knowledge transfer. Dimension is the language of physics, so the dimensions of knowledge transfer are described in the motor science of human brain by the laws of physics such as the mechanics of statics and dynamics.

## Problem solving classroom

The classroom of mathematics is well-known for the problem solving activities of chapters. Students don’t try to solve the questions of exercise page given at the end of each chapter. The teacher has to solve most of the math problems in the classroom. Although high class teaching is performed in the classroom, students always depend on the maths teacher to solve exercise tasks in the chapters of mathematics. Students are focused in classroom performance but they achieve nothing to apply in the problem solving activities of mathematics.

Many years ago, one maths teacher showed me the problems of classroom that he had to solve almost all of the exercise questions on the blackboard. So I decided to observe the classroom teaching of mathematics in Class-10. Definitions were written on the board and subject matter was explained in detail. Formulas were proved and some difficult problems of the exercise were also solved for the learning of students. The teacher also informed the students to practice worked out examples at home and the questions of exercise page were given as homework. Next day I observed the classroom again and found that the teacher had to solve most of the exercise questions. That was almost the 80% of exercise tasks and there was no improvement in the problem solving activities of mathematics.

Once I was at hostel supervision and one of the students asked me to solve a maths problem for him. I finished the solution on paper but he again asked me two maths questions. I wrote those solutions also and he was very happy with the solved tasks of mathematics. In fact, he was lack of problem solving skills. So I said to him, “First make the brainpage of worked out examples and then start solving the tasks of maths exercise.” Those days I was working on the web design of homepage, so suddenly the word ‘brainpage’ appeared in my thoughts. Obviously, it was the birth of brainpage theory. He replied, “What’s that?” I illustrated sourcepage, brainpage and zeidpage by describing the current of zeids, the flow of zeidstream and learning drives.

## Evolution of brainpage theory

I told him to finish the brainpage of all worked out examples by 11.00 am and report to me in the office. The student arrived with sourcepage, brainpage and zeidpage but there were three significant problems in my observation. He was facing writing problem, reading problem and understanding problem. But he did hard work and brainpage was modulated with proper segments. In the beginning, he was able to solve only 50% of the exercise tasks with the improvement in writing and reading. After three months, he started solving himself the 80% maths tasks of exercise page. Now he is working as an engineer and earning good money for his livelihood. A few years ago, his father died but he improved the financial position of his family. He is working, earning and living happily with his family and children. One dimension of brainpage theory changed the course of his life.

It was a good finding for the maths teacher. So, I suggested him to engage the students in the brainpage making process of worked out examples and finish completely in the classroom by stopping teaching performance. Sometimes, blackboard was used to prove formulas, describe theories and write the clues for the solution of difficult tasks. Students started the solving of 50% tasks themselves. Some kids solved almost 80% of the tasks themselves given in the exercise page. The teacher became moderator to help in brainpage making process and the environment of learning development (ELD) changed accordingly with the high performance of knowledge transfer.

## Fear factors

Once I asked one of the students a simple question while I was observing maths classroom. I said, “Go to the blackboard and solve this question for me.” He was standing but silent in action. There was fear and anxieties on his face reflection. His lips were dry and white. The face became pale and his body was shaking with fear. It was unpleasant situation for me that a question could affect brain circuits so hardly. I replied, “Don’t worry! I will solve this question on the blackboard for you.” He smiled and looked happy on his desk. I solved the problem but I couldn’t forget the impacts of fear factor. It’s true that questions are asked in the exams to test the learning quality of students. The result of exams is used to evaluate the working standard of teachers. The set of questions decides the stake of high performing institution in the community. Therefore, the querying matrix of questions is key factor for the flow of knowledge transfer in whole school ecosystem.

In the teaching system of education, the teacher has to solve the 80% problems of maths chapter in the classroom. After making the brainpage of worked out examples, students solve almost 80% tasks of maths chapter themselves. The brainpage of worked out examples helped students in the problem solving activities of maths chapter, but success was 60% to 80%. So, 20% to 40% of knowledge transfer was not complete and the teacher solved these remaining problems in the classroom. In the beginning, the brainpage of example worked out was called segment solver. Later it was renamed block solver, defined as the third dimension of knowledge transfer. Worked out example is segmented in brainpage making process. Whole knowledge is broken into segments or blocks, suitable for the cyclozeid processing of brainpage modules.

## Dimensions of knowledge transfer

Whole knowledge becomes difficult in learning transfer to studentâ€™s brain circuits. As for example, breaking is one dimension and building is another dimension of learning development. The brainpage of worked out example is developed by the third dimension of knowledge transfer known as block solver. It’s effective in goal oriented task operation (GOTO). Brainpage theory is not hypothesis but the reality of classroom learning transfer. The dimensions of knowledge transfer have been evolved from the brainpage development of worked out examples in the classroom of mathematics. Block solver launches the breaking process of knowledge transfer known as differential learnography.

In classroom, 100% of the knowledge transfer from maths chapter was not secured only by the application of block solver. There might be other possible options or dimensions to finish the remaining knowledge transfer of maths chapter. Here, the phrase ‘dimensions of knowledge transfer’ came in my imagination and I remembered the question fear of maths classroom and the flow of knowledge transfer in school ecosystem. Exercise page is also formed by the set of questions and the matrix of subject matter is hidden in the questions to write exact answers by using predefined pathways and limits.

In this way, query matrix became the first dimension of knowledge transfer. Students should know the querying matrix of knowledge that is hidden in the questions before they start writing the solution of maths task. The brainpage of object definition helped in understanding the knowledge matrix of questions, so definition spectrum was declared as the second dimension of learning transfer. Thus, 1st, 2nd and 3rd dimensions were discovered at the end of 20th century, but other dimensions such as 4th, 5th, 6th and 7th dimensions of knowledge transfer were completed in the beginning of 21st century. I loved physics, but studied biology and discovered the dimensions of knowledge transfer in mathematics.

Shiva Narayan

Principal

Golden Star Secondary School

Rajbiraj, Nepal

## Brainpage School

**Happiness Classroom !** *Book is the transfer source of knowledge and studentâ€™s brain is the transfer target of learning. To be high performing students, make brainpage in the classroom by applying the seven dimensions of knowledge transfer.*