These educators share the "how" and "why" behind their use of open middle tasks in the classroom. In this article, the authors share a type of mathematics task, called Open Middle, that exhibits the characteristics outlined above. The authors frequently use Open Middle tasks in their classrooms because they teach students that…

Circle and disc are fundamental concepts introduced in middle school, forming the basis for many other mathematical ideas. Students often face challenges in comprehending circles, discs, and their basic elements. This research examines the processes of sixth-grade students in constructing circles, discs, and their essential components within a…

This study aimed to examine the effect of using Excel in teaching fractions in a 6th grade mathematics course on students' academic achievement and attitudes. To achieve this, a quasi-experimental design with a pretest-posttest control group was implemented. The research involved 62 students from a public secondary school in a central province of…

In the world where we always meet geometric constructions, it is a necessity to make sense of the objects belonging to these constructions. In this respect, this study aimed to examine the teaching of volume with the blending of the realistic mathematics education (RME) and GeoGebra. The study group consisted of 12 students attending lessons…

The Calculus for Kids project was deliberately designed to use computers in the transformation of curriculum. The intervention used multi-media learning materials to assist teachers and Year 6 (aged 11-12 years) students understand the principles of integral calculus. They used Maple mathematics software to solve real-world problems using these…

This is one of the first studies to evaluate the impact of computer-based individualized instruction in a developing country. We randomly assigned 1,528 students in grades 6-8 in 15 "model" public schools in Rajasthan, India who were using a computer-adaptive learning software to: a control group, in which they were only able to access…

Despite significant research exploring students' quantitative reasoning, few studies have explored the semiotic processes that mediate its development. In this report, we present a case study to show how one student constructed a semiotic chain for a quantity as he worked with a mathematical task. Importantly, we connect frameworks for…

This study is one of the first evaluations of independent (i.e., self-guided) practice in math in a developing country. We randomly assigned 4,461 students in grades 4-7 in "unaided" private schools across seven Indian cities who were using a computer-assisted learning software to: (a) a control group, in which they moved from one unit…

This study describes a teaching process that offers teachers and pupils ways of constructing the division operation through illustration based on defining the reference unit (divisor), the reference whole1 and the dividend. We introduce a computerized dynamic environment, using an Excel spreadsheet, in which both teachers and pupils can…

With the increase in the development of science and technology, contemporary technological requirements are seen as rising needs of the countries. In this regard, technology can be considered both a means and an end to reach science. Since gifted students are more prone to computer technologies due to their cognitive structures, instructional…

Evaluating the subjective playing experience and engagement in learning is important in the design of advanced learning technologies (ALTs) that respond to the learners' cognitive and emotional states. This article addresses students' attitudes toward an educational game, Heroes of Math Island, and their responses to the emotional agent, an…

This study investigates sixth-grade students' explorations of tessellations with Scratch through the mathematical aesthetics. For this purpose, the study analyzed the students' explorations by considering the roles of mathematical aesthetics identified by Sinclair (2004): generative, evaluative, and motivational role. Six middle-school students…

The ability to code computer programs is considered an important part of literacy in today's society. This paper reports from a case study in two sixth-grade classes where Scratch coding was part of six mathematics lessons. The aim of the study was to investigate how Scratch coding affected students' interest development in coding and in…

The purpose of this study is to evaluate the effectiveness of IXL Math online software in raising student achievement on the New York State Math exam, with special focus on effects by student gender, ethnicity and disability status. The study includes an analysis of the relationship between scale scores and time spent using the IXL system, number…

To improve understanding of identities and inverses, and to provide a stronger foundation for future mathematics, Sandra Miles designed a two-part lesson that makes the relationship between identities and inverses explicit. This article illustrates Miles' teaching of the first part of the lesson, focused on addition and subtraction, and then gives…