Visual thinking plays an essential role in solving problems and in learning mathematics. Many students do not understand how to graphically or geometrically represent problems and solve algebra problems. Visual thinking is the ability, process, and results of creating, interpreting, using, and imagining images and diagrams on paper or with…

We have integrated computer programming instruction into the required courses of our mathematics major. Our majors take a sequence of four courses in their first 2 years, each of which is paired with a weekly 75-minute computer lab period that has a dual purpose of both computationally exploring the mathematical concepts from the lecture portion…

This study is to reveal the construction process of student representation in solving of ill-structured geometry problems. The three phases involved in the construction process are interpreting the problem, giving opinions, and concluding. A total of four high school students participated in Surabaya and Sidoarjo in this qualitative study. They…

Given the important role played by students' spatial reasoning skills, in this paper we analyse how students use these skills to solve problems involving 2D representations of 3D geometrical shapes. Using data from in total 1357 grades 4 to 9 students, we examine how they visualise shapes in the given diagrams and make use of properties of shapes…

The aim of this study was to investigate the effects of modelling, collaborative and game-based learning on geometry success in third-grade students. These approaches were applied to geometry instruction in nature on the success of students in geometry. The students' views about geometry activities were also examined. Explanatory design, one of…

This paper examines the effect of the use of dynamic geometry environments on young children's (ages 5-6, kindergarten/grade 1) thinking about angle. It provides a detailed description of introductory sessions of a geometry unit about angle, during which children worked in a whole classroom setting in which they could interact directly with…

Geometry teaching in elementary schools in Colombia is a challenging task. Students' problems with this topic have led to below-average performances in the Program of International Student Assessment. To face this challenge, this paper presents Akasha, a personalized software application to reinforce geometry teaching to elementary school children…

The research delved into the assessment of integrating Learning Management System as an aid in teaching. Data were collected from 26 students at Rizal Technological University-College of Education, Philippines, through pretest-posttest quasi-experimental and normative survey design of research. Data were statistically tested using the frequency,…

This study aims to investigate the effects of the use of multiple geometry proof formats on Indonesian students' reading comprehension of geometry proof (RCGP). Four classes of prospective secondary mathematics teachers (N=125), aged 18 to 19 years, participated in this quasi-experimental study. While the experimental group was instructed in three…

The study used the intervention mixed methods design to evaluate the technological, pedagogical and content knowledge (TPACK) of mathematics preservice teachers while doing their lesson planning and teaching with interactive whiteboards (IWBs). The method has the following parts: (1) qualitative data collection to establish the priority…

The relationships between visuo-spatial abilities and geometry performances in school-aged children were examined. A battery of tests assessing non-verbal reasoning, visuo-spatial mental imagery, and academic achievement in geometry (i.e., geometric knowledge and geometric problem-solving competencies) was presented to 162 8-9.5-year-old pupils…

Understanding is one of the four key ideas in the "Australian Curriculum: Mathematics." This case study investigated preservice teachers' understanding of modified words such as 'regular polygon', where the preceding word/s modifies the meaning of the final word. Data were gathered from 23 preservice teachers who voluntarily participated…

The purpose of this action research study was to evaluate the implementation of an adaptive web-based learning environment to personalize geometry instruction and practice for high school students at a private school in North Carolina. This study was guided by the following three research questions: How and to what extent does implementing…

Prior research in mathematical assessments has indicated varying results of predictive variables and further research has been recommended to support students, parents, teachers, and school administration. The purpose of this research was to determine how well a student's performance on a mathematics domain at the state level may be predicted…

Business ethics is a highly discussed and debated subject in today's corporate and business world, as well as in educational and academic circles. There are certain parameters, which influence the extensive level and degree to which ethics has been analyzed by scholars and researchers in recent years, such as globalization, technology, intangible…