Failure to deduce false suppositions in proof by contradiction is still considered "more difficult" than proving the conditional ?? to ?? in proof by contraposition. This study aims to identify the types of proof construction failures based on the action steps of proof by contradiction, then offer a framework of construction failure…

This study introduces a framework for analyzing opportunities for mathematical reasoning (MR) in school mathematics, using MR-relevant claims and their derivation as the unit of analysis. We contend that this approach can effectively capture a broad range of opportunities for MR across various teaching situations. The framework, rooted in…

The training of hostel service skills emphasizes the application of procedural knowledge and complex problem-solving skills, and with the development of education technology, game-based learning that mixes virtual reality (VR) and physical games has begun to be emphasized. In this study, we proposed a multi-dimensional scaffolding design framework…

A learning city is one that promotes lifelong learning for all, and sustainable development will be achieved by learning through life. This paper focuses on developing a guideline for building lifelong learning cities in Thailand. We first present findings from studying four learning cities in Thailand and abroad that had similar starting points:…

Electricity and magnetism are fundamental areas of physics and are integral to science curricula at various educational levels. However, this area has been reported to contain several concepts that students find challenging, leading to perspectives that diverge from scientifically accepted views. This study examines the errors made by physics…

There is a mismatch between established practice in Learning Design and the increasingly complex nature of the challenges the world is facing. This article connects Learning Design to complexity science so learners can be better equipped to create a thriving future. Learning Design methods have traditionally leant heavily upon the reduction of…

Successful integration of problem-solving in mathematics classrooms lies mostly with the assistance and support teachers get. Many studies have been conducted on the strategies teachers can use to integrate problem-solving in their teaching of mathematics, however, few studies have been conducted on frameworks/models that can assist teachers and…

This study aimed to examine an open-ended problem-solving assessment tool that can be used to measure the profile of students' mathematical creativity based on the type of mathematical creativity. The open-ended problem-solving assessment consists of open-ended problem-solving sheets and interview guidelines to measure the profile of students'…

Academic writing has been a widely substantial course in higher education as it plays a vital role in cultivating students' academic writing skills. Drawing on qualitative descriptive study, this study aims to explore the fundamental requirements for academic writing to base the creation of an effective learning framework. Data consisted of…

This paper explores the affordances of mobile learning in developing frameworks for discourse analysis. Specifically, this paper examines the commognitive analysis of classroom discourses in virtual learning environments (VLEs) and how it resolves the challenges of discourse analysis in face-to-face (F2F) settings. With the ongoing social turn of…

The rapid development of large language models (LLMs) presented opportunities for the transformation of science and STEM education. Research on LLMs was in the exploratory phase, characterized by discussions and observations rather than empirical investigations. This study presented a framework for incorporating LLMs into Science and Engineering…

In this paper, it was tried to consider the current state of normative support for the development of strategic planning documents in the field of Russian education. The strategy for the development of education (DoE), as an industry document of strategic planning, has not been adopted in the Russian Federation (RF) to date. The article attempts…

The increasing prevalence of online courses has highlighted the importance of digital literacy for students. This study investigates the relationship between digital literacy and academic achievement among students who participate in an online course on anatomy and physiology. The study also evaluates how different aspects of digital literacy,…

We re-examine a Malawian teacher's lessons which, using the framework of mathematic problem-solving developed by Polya, the typology of levels of task demand from Stein and colleagues and Malawi's description of learner-centred education (LCE), were described as teacher-centred and evaluated as 'not good'. We studied seven video-recorded circle…

Purpose: Executives who are engaged in strategic planning for higher education generally complain about the process and the lack of clear outcomes from the strategic plan. They generally argue that the process is complex and sometimes confusing and the end result does not justify the time spent in preparing the plan. The extant literature on…