👨‍🏫 Research Introduction: Rise of Small Teachers in Knowledge Transfer In the search for more effective and equitable academic learning models, traditional systems are increasingly being challenged by innovative approaches that emphasize active and brain-based learning. One such transformative model is the concept of Taxshila Teachers, which redefines the role of the student in the classroom by elevating select learners to the status of small teachers. These small teachers are high-performing and pre-trained students, who become the driving force behind knowledge transfer, classroom management, and collaborative achievement. This is rooted in the principles of learnography and the neurobiology of learning. This approach seeks to activate the motor circuits and memory systems of brain through structured peer-led sharing and the brainpage theory of modular learning. The conventional method of education is centered around lectures, memorization and teacher dependency. It often neglects...

Research Introduction Mathematics is the foundational science of patterns, templates and calculation that defines the functional structure of space, objects and time. This article explores the deep integration of mathematics in two powerful domains: learnography and technology. Learnography is the motor-based system of knowledge transfer and brainpage development, but technology is the application of mathematical logic to innovation and design. The mathematical dimensions in learnography are definition spectrum, question matrix, block solver, hippo compass, module builder, task formator and dark knowledge. This study highlights how mathematics goes beyond cognitive learning to shape active, intuitive and creative understanding. This paper demonstrates that from classroom learning to technological breakthroughs, the principles of mathematics serve as the universal language of structure, intelligence and advancement. Article – Mathematics: Hidden Architecture of Learnography and Technolo...