"Wheel spinning" is the phenomenon in which a student fails to master a Knowledge Component (KC), despite significant practice. Ideally, an intelligent tutoring system would detect this phenomenon early, so that the system or a teacher could try alternative instructional strategies. Prior work has put forward several criteria for wheel…

This cross-sectional mixed-methods study found statistically significant differences in responses to 22 of 25 efficacy statements by participants separated into two categories based on their cumulative GPAs at one public high school in Wisconsin. Qualitative comments found limited results. Results of this study provide recommendations for geometry…

Understanding is one of the four key proficiencies in the "Australian Curriculum: Mathematics" and arguably the pivot on which mathematics depends. This case study investigated preservice teachers' understanding and ability to articulate some measurement concepts. Data were gathered from 23 preservice teachers who voluntarily…

A selection of secondary school mathematics textbooks from twelve countries on five continents was analysed to better understand the support they might be in teaching and learning mathematical problem solving. Over 5700 tasks were compared to the information provided earlier in each textbook to determine whether each task could be solved by…

This study aimed to investigate the effectiveness of a cooperative learning type TAI for teaching 3D geometry and to see whether or not the outcome of cooperative learning type TAI was found better for teaching 3D geometry rather than conventional learning model. This study was a experiment with pretest posttest only control design. The sample are…

Research has demonstrated that textbooks exert a considerable influence on students' learning opportunities and that technology has the potential to transform mathematics instruction. This brief report provides a systematic analysis of how technology tasks are integrated into secondary mathematics curricula by analyzing a sample of 20 textbooks.…

The purpose of the present study was to propose a model for mathematics achievement considering the mediating role of eye tracking measurements in the relationship between problem solving performance and mathematics achievement. In this sequential explanatory mixed method research design, a geometry test was conducted to 381 7th grade students.…

We argue that examples can do more than serve the purpose of illustrating the truth of an existential statement or disconfirming the truth of a universal statement. Our argument is relevant to the use of technology in classroom assessment. A central challenge of computer-assisted assessment is to develop ways of collecting rich and complex data…

This study investigated the geometry knowledge of in-service primary school teachers through measuring both their content knowledge (CK) and pedagogical content knowledge (PCK) using a descriptive and qualitative approach. The participants of the study were 23 primary school teachers who work in public schools with teaching experience that ranges…

The purpose of this study is to explore the effectiveness of the parallel classroom model in comparison to a support facilitation model. Using district-level assessments in geometry, this study assessed student performance when students were taught the same content with the same rigor, where one classroom uses differentiation strategies and…

The main purpose of this qualitative study was to investigate the challenges faced in teaching, learning, and technology in online geometry classes. The perspectives of online geometry students and teachers provided insights into the effectiveness of online geometry learning. A qualitative descriptive design was used to gain insights into the…

In this study, the contribution of the 3D computer modeling to the twenty-first century's common competencies was evaluated from the perspective of secondary school students. The one-group post-test only design was used in the study. The instruments of the data collection process were an achievement test and a questionnaire developed by the…

This study aimed to describe the creative thinking process of students with active learning styles in proposing and solving problems on geometry material. The research instruments were Honey and Mumford's Learning Style Questionnaire (LSQ), problem-solving and submission test sheets, and interview guidelines. The LSQ questionnaire was distributed…

Increasing students' exposure to mathematical reasoning (Lannin, Ellis, & Elliot, 2011) has been a constant call from mathematics education reform efforts. However, studies have raised concerns about whether teachers are prepared to teach reasoning. This paper explores one aspect of reasoning, refutations, by examining the geometric…

Geometry is an important part of the mathematics curriculum. In the late 1950s, Pierre Van Hiele and Dina Van Hiele-Geldof developed a theory of learning geometry. Theory helps determine students' geometric thinking levels, design appropriate instruction for their level, and students move to the next level. This study aims to examine the studies…