This book assists teachers in providing curriculum to identify gifted students of diversity in the early years, without the formal use of traditional measures of ability. Appropriate for small and large group settings, the pedagogical tools and lessons in this book provide young students with teaching and learning experiences designed to uncover…

The aim of this study is to compare the self-efficacy beliefs in problem posing of middle school mathematics teachers in Science and Art Centres and state schools. A descriptive research model was employed. The study was conducted with 187 teachers and "Teachers' Problem Posing Self-Efficacy Beliefs Inventory" (TPPBEI) was used. In the…

The spread of Artificial Intelligence (AI) has been recently generating worries among teachers and educators about the validity of assessment when students make use of AI tools to solve tasks. To tackle this issue, we propose mathematical problem solving activities to be carried out with the aid of ChatGPT, showing how problem solving and critical…

In response to the criticism that theory-driven researcher-developed learning tools lack scalability and sustainability in the real world, the design-based implementation research (DBIR) approach was proposed. However, few empirical studies actually describe what a DBIR study looks like and how it can inform readers about learning tool design. We…

This paper aims to broaden the scope of the construct concept image by addressing the mathematically oriented notion of "solution of an algebraic equation." The notion solution of an algebraic equation is not mathematical per se, but it is most prevalent in mathematical communications and in mathematics education. The paper describes…

Recent economic diversifications of Kazakhstan from over-reliance on the extraction of natural resources are mainly based on increasing the quality of human capital by building a knowledge-based economy as an instrument for long-term sustainable development. In this regard, the paper explores the level of cognitive skills of the adult population…

This exploratory and descriptive study aims to theoretically promote the schema of pseudo-thinking processes in mathematical problem-solving by students. The participants in this study were 36 eighth graders and one math teacher. The researchers collected the data using tests and interviews. The results showed that the structure of pseudo-thinking…

Traditionally, students experience difficulties solving problems involving geometric shapes and their properties. In line with the current curricular guidelines, it's important to reflect about the use of active learning strategies, which directly engage students in meaningful mathematical activity, that contribute to reverse this situation. This…

Students' use of problem posing is an assessment tool for evaluating mathematical creativity, and it plays a substantial role in creative tasks. Integrating problem-posing tasks into a curriculum is beneficial for teaching and learning mathematics. The Photo-Math Project is an example of problem posing in terms of generating new problems. This…

It is often argued, rightly, that critical thinking is a necessary condition for democracy. This essay looks at the other side of that relationship, how certain democratic conditions are necessary for critical thinking to flourish. In turn, this dynamic, interactive account of democratic culture, institutions, and dispositions has implications for…

This article ponders the question: "How might EdD research methods courses be reimagined to position Black Feminist Theory as a comparable theoretical framework to guide epistemological stance development and scholar-practitioner inquiry?" By introducing Black Feminist Theory as a viable theoretical framework, this article posits its…

This study aims to examine the effectiveness of online problem-based learning (PBL) tasks on problem-solving ability (PSA) and programming skills of secondary school students. A quantitative research design of a quasi-experimental research was adopted in this study. A purposive non-random sampling method was used to select two schools. Then, a…

Previous studies have emphasised that play can promote children's learning of mathematics. However, little research has been directed towards understanding how collective imaginary play motivates children's mathematical learning. Informed by the cultural-historical conception of play and motives, this paper examines how Conceptual PlayWorld (CPW)…

Jordan canonical form (JCF) is one of the most important, and useful, concepts in linear algebra. Mathematics, physics, biology, science and engineering undergraduates often find the first application of real JCF in the discipline of differential equations (continuous models) to solving systems of differential equations. In this work, we apply…

Problem posing is an indispensable constituent of mathematical thinking, which makes it a requisite ability for students of all grades. Therefore, pre- and in-service teachers should carry out problem posing activities of high quality, and having them pose non-routine problems may be a good way to make this happen. In this context, this study…