Geometry is a strand of mathematics that can benefit individuals in many areas of life. Test results, such as the TIMSS results, indicate that geometry is an area for growth among American students. With a need for students to better understand geometry, several academic standards have been created to direct geometry instruction in the United…

Recently, automatic question generation (AQG) has been researched extensively for educational purposes. Existing approaches generally lack relevant information on the authentic context and problem diversity with various difficulty levels, so we proposed a new AQG system for generating contextualized and personalized mathematic word problems (MWP)…

With facilitation of advanced technologies, design and application of "smart" become promising research issues in education. Although it is potential for students to learn geometric in authentic contexts, there were still lack of studies addressing "smart" learning issue in authentic context for geometry. This study aim to…

This study was conducted to optimize the designs of learning guides embedded in a computer-based simulation environment. The research was based on the Cognitive Theory of Multimedia Learning and Cognitive Load Theory. We investigated computer simulations under four conditions that combined representation and imagination learning strategies. This…

This study examines the impact of integrating GeoGebra software with the 5E instructional model on fifth-grade students' understanding of the formula for the area of a trapezium. This quasi-experimental research involved 90 fifth-grade students in southern Vietnam, divided into experimental and control groups. The experimental group received…

Conjectures are a key component of mathematical inquiry, a process in which the students raise conjectures, refute or dismiss some of them, and formulate additional ones. Taking a design-based research approach, we formulated a design principle for personal feedback in supporting the iterative process of conjecturing. We empirically explored the…

Nowadays, digital technologies are crucial in supporting students in geometry in secondary mathematics classrooms. However, in some cases, the role of visual function in technology was only utilized for seeing and conjecturing, not for experimenting, while to develop a relational understanding of geometry concepts, students should actively…

The study material on circle areas is contextually oriented and aids students in comprehending their surrounding environment. Higher-order thinking skills are imperative for the success of circular learning, as they help students grasp concepts holistically and solve concept problems. "What-if" questions can enhance students'…

Purpose: This paper aimed to present the integration of contextualisation in the Department of Education (DepEd) existing module using mobile applications and to find out the influence of the contextualised module with mobile applications (CMMA) entitled Geometry Techy on learners' mathematics performance. Method: The module used…

Advancement of self-regulation during complex problem solving and the development of strategical reasoning are among the central educational goals linked to 21st century skills. In this paper we introduce the notion of "Stepped Tasks", which are specially designed in Top-Down structure to achieve these goals in mathematics instruction.…

Due to the fact that the pandemic process did not occur in a predictable time frame, various difficulties have arisen in the field of education. This is also true in mathematics education, and concretization has been one of the biggest obstacles. This situation paved the way for concept learning errors that may occur in students. There are some…

In this study, it was aimed to show the effect of computer assisted learning on the academic achievement, performance levels and computer attitudes of 8th grade students in "Transformation Geometry" subject and determine students' opinions about this learning environment. The study was conducted with embedded design, one of the mixed…

Gifted students have potential to improve countries and this potential can be revealed and developed in schools where they spend most of their times with other regular students. However, these classrooms have some limitations for them; hence, they need some differentiated activities. Usage of dynamic geometry in mathematics lessons could be an…

Geometry students have few opportunities to apply geometric concepts and solve geometry problems in authentic contexts. We developed a Ubiquitous Geometry (UG) system to teach geometry to elementary students by using it to measure common objects in authentic contexts. The instant study investigates the effects of UG on student geometry estimation…

This research examined the effects of two instructional treatments on training performance in solid volume measurement and potential effects on solving capacity and displaced volume problems by two related studies. Fifty-three fifth-graders from a public elementary school in Taipei, Taiwan, participated. In the Phase 1 study, the children (n = 27)…