Visual imagery has been an effective tool to communicate ideas connected with basic mathematics concepts since the dawn of mankind. The development of educational visualisation technology allows these ideas to be demonstrated with the help of some educational software. In this paper, we specifically consider the use of GeoGebra, a free,…

This paper deals with the nature of teaching mathematical thinking and presents a case study of a single Japanese lesson where the characteristics of mathematical thinking and the teaching thereof are identified in relation to multiplication. The raison d'être for this teaching is questioned and investigated by looking at how multiplication is…

This paper was an attempt to redesign the current professional development training for Mathematics teachers in the Philippines. Mathematics teachers claimed that most training and seminars they attended ignored their local work context; was routinely and was hardly applicable to their classroom milieu. By utilizing the transformative professional…

Developing PISA like mathematics problems using daily life context helps to improve the quality of learning. This study aimed to generate a valid, practical, and having potential effects on mathematics literacy ability PISA like mathematics problems with the context of sailing in the 2018 Asian Games. This research involved three expert reviews…

The invention of the computer has led to the establishment of a new research paradigm, computation, which has recently become more and more popular in scientific exploration. However, computation is not well represented in high school and university curricula in science and engineering, although it applies to a wide range of disciplines beyond…

Despite the importance of computational estimation skill for the improvement of number sense, little research exists on preservice teachers' estimation skills and their view on estimation in the US context. This study examined the computational estimation skill of 58 preservice elementary teachers (PSTs) and its relationship to their views of the…

Meaningful inclusion of quantitative reasoning into mathematics instruction requires meaningful ways to evaluate it. Few formative assessments exist to evaluate the strategies students use when reasoning mathematically. The Framework for Evaluating Quantitative Reasoning Strategies presented in this article provides teachers with categories for…

Games-based learning involves instruction with realistic game experiences (Cicchino, 2015). This action research study explored game-based learning as fifth grade mathematics students completed a brief unit on ordered pairs utilizing game-based lessons. Attitude and achievement data were collected mainly by surveys, content tests, student…

Peer feedback is increasingly used to train assessment skills in teacher-training programs. However, studies investigating the roles of peer feedback providers' beliefs about peer feedback provision, their perceptions of their peer feedback message and their experienced emotions are still limited. This study aimed to explore how peer feedback…

The use of hypermedia educational materials in education has gained relevance in recent years and is the object of numerous research activities. In the context of teaching and learning Mathematics, there are diverse works detailing their potential to improve both student learning and student attitude towards the subject. In this article, the…

Transition period from preschool years to school years is a time of rapid changes in children's development. Children with intellectual disability lag behind their peers without disabilities in their school readiness skills, especially in math skills. Thus, there is a great importance of school preparation programs for children with intellectual…

Research shows that students benefit when they explain their mathematical reasoning (e.g., Booth et al., 2015); however, not all students will do this on their own without being prompted (Berthold, Eysink, & Renkl, 2009). Self-explanation prompts are questions posed to a student that encourage the student to explain what they have learned…

The overarching theme of this book can be simply stated: Building on a foundation of biologically based abilities, children construct number via sensorimotor and mental activity. In this chapter, we return to this theme, and we connect it to three additional themes that emerge across chapters: comparing competing models for conceptual change;…

Mandates to improve curriculum and instruction have failed to produce mathematically proficient students, with 40-60% needing remedial coursework in college, despite incorporation of technology. The SAMR (Substitution, Augmentation, Modification, Redefinition) model redirects technological focus away from specific technologies to how technology is…

Understanding fractions is critical to mathematical development, yet many children struggle with fractions even after years of instruction. Fraction arithmetic is particularly challenging. The present study employed a computational model of fraction arithmetic learning, FARRA (Fraction Arithmetic Reflects Rules and Associations; Braithwaite, Pyke,…