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Inductive Insights into Preserving Euler Characteristics in Topological Transformations Kunwar, Rajendra; Laxmi G. C
Journal of Mathematics Instruction, Social Research and Opinion Vol. 3 No. 3 (2024): November
Publisher : MASI Mandiri Edukasi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58421/misro.v3i3.305

Abstract

Topological transformations involve altering the shape or structure of surfaces without changing their fundamental properties. One key property is the Euler characteristic, a topological invariant that remains constant under continuous deformations. This study employs an inductive approach to explore how various transformations can preserve the Euler characteristic, providing insights into the underlying principles. The study aims to deepen our understanding of the relationship between topological transformations, changes in the number of vertices, edges, and faces, and their impact on Euler's characteristics. The study investigates the transformation of various objects, such as spheres and polyhedra, within the Euclidean plane, deriving generalizations about preserving Euler's characteristics. Furthermore, the article explores the ideas of proving Euler's theorems related to topological transformations in the Euclidean plane through an inductive approach. It focuses on the conceptual development of topological transformations, utilizing various visual representations and providing specific arguments. The article enhances the understanding of the concepts and principles involved in topological transformations while preserving Euler's characteristics by employing visual aids and illustrations. The article emphasizes explicitly the inductive derivation of the application of Euler's theorem in determining the genus of surfaces. The inclusion of visual representations and specific arguments further enhances the understanding and conceptual development of these topics.
The innovative evolution of teaching materials: Trends and future prospects Kunwar, Rajendra; Shrestha, Suman Kumar; Adhikari, Sapana
Journal of Research in Instructional Vol. 5 No. 1 (2025): Journal of Research in Instructional
Publisher : Univeritas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jri.v5i1.600

Abstract

The way we teach has changed a lot over time, thanks to new technology and different ideas about how to learn. This article looks at how teaching materials have changed from the past to now and what might happen in the future. It starts with old tools like clay tablets and papyrus scrolls and moves to modern digital and interactive tools. Important changes, like the printing press, audiovisual aids, and digital resources, are talked about because they made big differences in how we teach. The article also talks about current trends, like using artificial intelligence (AI), virtual reality (VR), and augmented reality (AR), and open educational resources. These trends are changing how we learn by making it more fun, personalized, and easier to access. In the future, the review expects that new technologies will keep pushing the boundaries of teaching materials, with AI, VR, AR, and blockchain being very important. The article ends with suggestions for policies to help these changes, focusing on investing in digital tools, training for teachers, and making sure everyone can benefit from these new technologies. This detailed look gives useful ideas for teachers, leaders, and researchers, showing how new teaching materials can make learning better, more fun, and more fair for everyone.
Brief overview of the integrated curriculum in Nepal: Key features, impacts and challenges Kunwar, Rajendra; C., Laxmi G.; Acharya, Narahari; Adhikari, Sapana
Journal of Research in Instructional Vol. 4 No. 1 (2024): Journal of Research in Instructional
Publisher : Univeritas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jri.v4i1.348

Abstract

This article provides a brief overview of the integrated curriculum of Nepal. It uses the desk review method. It delves into the context of curriculum development and its rationale in the Nepalese context, emphasizing the need for a shift towards an integrated approach. The article explores the integration of the current basic level (grades 1-3) curriculum and discusses the continuum of curriculum integration. It highlights the evolving concept of an integrated curriculum and sheds light on its key features. Additionally, the article discusses the challenges of implementing an integrated curriculum in the Nepalese context. It explores the impact of integrated curriculum on the Nepalese education system, and students' learning, such as the development of soft skills, critical thinking, and interdisciplinary skills. The article also provides recommendations for promoting integrated curriculum practices and emphasizes the importance of teacher professional development and stakeholders' participation for effective implementation.