Argumentation is fundamental and essential in mathematics education. It promotes deep mathematical understanding and helps students connect abstract ideas logically. However, teachers and students in the traditional teacher-centered classroom face difficulties teaching and learning math argumentation. In this article, a cooperative…

As mathematical patterns become more complex, students' conditional reasoning skills need to be nurtured so that students continue to critique, construct, and persevere in making sense of these complexities. This article describes a mathematical task designed around the online version of the game Mastermind to safely foster conditional reasoning.

The purpose of this study was to compare two treatments, namely the use of hands-on activity media and computer-based media on the conceptual understanding of mathematics and the reasoning ability of junior high school students. In order to obtain complete information about the comparison of the two, researchers also use groups without learning…

This paper discusses the conception of an online formative assessment tool in the field of functional thinking and focuses on the first cycle of a design-based research project. This tool is based on a preceding qualitative research project in an Austrian grade 7 class for examining students' conceptions as well as possible influences of designed…

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)…

The use of dynamic geometry computer software (DGCS) is important in educational environment, and it is more advantageous for learning mathematics comprehensively. This study examined the importance of dynamic geometry computer software on learners' performance in geometry. A quasi experimental, non-equivalent control group was used. The…

The authors provide a dynamic Ferris wheel computer activity that teachers can use as an instructional tool to help students investigate functions. They use a student's work to illustrate how students can use relationships between quantities to further their thinking about functions.

In his State of the Nation address on 7 February 2019, the president of the Republic of South Africa. Mr. Cyril Ramaphosa, stated that the government would provide digital workbooks and textbooks to every school child in South Africa by 2025. (De Villiers, 2019). This announcement begs the question how effective the incorporation of Information…

This paper describes a classroom experiment where students use techniques found in the history of mathematics to learn about an important mathematical idea. More precisely, sixth graders in a primary school follow Archimedes's method of exhaustion in order to compute the number p. Working in a computer environment, students inscribe and…

The study aims to identify the effect of using computerized based education on Eighth grade achievement in Math. In addition the study aims to identify the effect of gender on students' achievement who received computerized education. The study was based on the selection of students from two schools in Ma'an City one for females and the other for…

This exploratory study examined the design issues related to a virtual-reality-based, gamelike learning environment (VRGLE) developed via OpenSimulator, an open-source virtual reality server. The researchers collected qualitative data to examine the VRGLE's usability, playability, and content integration for math learning. They found it important…

The introduction of linear functions is the turning point where many students decide if mathematics is useful or not. This means the role of parameters and variables in linear functions could be considered to be "threshold concepts". There is recognition that linear functions can be taught in context through the exploration of linear…

How can the key concept of equivalent expressions be addressed so that students strengthen their representational fluency with symbols, graphs, and numbers? How can research inform the synergistic use of both paper-and-pencil analysis and computer algebra systems (CAS) in a classroom learning environment? These and other related questions have…

In this paper we will describe a learning environment designed to foster conceptual understanding and reasoning in mathematics among younger school children. The learning environment consists of 48 2-player game variants based on a graphical model of arithmetic where the mathematical content is intrinsically interwoven with the game idea. The…

Many students at all levels--from middle school to graduate programs for in-service teachers--struggle with visualizing three-dimensional shapes. Many also are challenged to locate appropriate centers of rotation, placement of lines of symmetry, and translation vectors for transformations on the plane. Hands-on experience helps with these…