This study focused on improving students' learning mathematical of proofs and proving by using combinations of proof strategies that span different levels of understanding of proof structure; we refer to these as 'level-spanning proof-production strategies'. We analysed the level-specific proof-production strategies evident in the lessons and…

It is generally understood that both clear teacher instruction and orderly classroom climates support student achievement in mathematics. However, to what extent does instructional clarity "compensate" for classroom disorder? In this exploratory study, we analyse data from 8,864 Year 8 students sampled by TIMSS 2019 to investigate the…

Representation is widely viewed as central to mathematical problem solving, while online scaffolding is considered helpful in supporting learners' progress from actual to potential developmental levels of mathematics understanding. Therefore, this study investigated the effectiveness of employing online single vs. multiple representational…

Part of learning a new discipline is learning the language used in the discipline. For mathematics, emergent multilingual learners (EML) must learn English and mathematical symbols in order to make meaning and communicate. The mathematics community's understanding of communication is complex and includes the use of natural language, incorporation…

The aim of this study was to investigate the effect of using dynamic geometry software (GeoGebra) on the eighth-grade students' conceptual understanding and the retention of learning regarding linear equations and slope. In this study, a quasi-experimental design with pre-test, post-test and delayed post-test was employed. This study was conducted…

Adaptive learning systems personalize instruction to students' individual learning needs and abilities. Such systems have shown positive impacts on learning. Many schools in the United States have adopted adaptive learning systems, and the rate of adoption in China is accelerating, reaching almost 2 million unique users for one product alone in…

The math intervention program, Assessment and Learning in Knowledge Spaces (ALEKS), at a Public Middle School (pseudonym) in the Northeast United States, was implemented for eighth grade middle school math students, but researchers have not measured its effectiveness. Grounded in the cultural relevance pedagogy, the purpose of this quantitative…

School-based learning experiences are often designed with the "typical" student in mind. However, this may not be an optimal approach, given the variability of prior learning that exists in most classrooms. We investigated the variance in achievement within U.S. fourth- and eighth-grade mathematics classrooms using Trends in…

Ferris wheel is one amusement playground that resembles a giant spinning wheel. Many students are familiar with the Ferris wheel in the mini version of it at night market festivals. This is the potential for learning mathematics. Furthermore, there is a mathematical learning approach called Indonesian Realistic Mathematics Education (IRME) where…

This classroom-based action research aimed to determine the applicability of implementing Collaborative Learning in online setting to help students develop their interaction with one another and improve their academic performance. Participants of the study consisted of Grade 8 intact pilot section of a public school in an urban community which…

Background: Key to optimizing Computational Thinking (CT) instruction is a precise understanding of the underlying cognitive skills. Román-González et al. (2017) reported unique contributions of spatial abilities and reasoning, whereas arithmetic was not significantly related to CT. Disentangling the influence of spatial and numerical skills on CT…

This correlative study examined the role of teacher qualities and working conditions in 4th- and 8th-grade Turkish students' mathematics achievement in TIMSS 2019. Teacher qualifications were defined based on the teacher questionnaire used in TIMSS 2019 and were discussed in three categories: personal characteristics, teacher qualifications, and…

Similarity is a topic in Geometry which investigates similar elements of a plane. This topic has a high complexity that generates cognitive load in working memory. A deep understanding of the concept is needed to solve similarity problems. Based on cognitive load theory, learning by goal-free problems is suggested since it can minimize cognitive…

GeoGebra is a dynamic geometric software developed for the support of mathematics teaching. The aim of this research was to study the effect of GeoGebra on mathematics achievement in relation to the linear equations and explore the perception of students towards the use of GeoGebra in teaching mathematics. Forty students were participating in this…

Teaching science concepts for conceptual understanding has its challenges. Promoting conceptual change in the science classroom can be difficult because most concepts are complicated and counter-intuitive. This dissertation research aimed to determine the effect of teaching for conceptual understanding models on pre-service teachers' conceptual…