In this study, it was aimed to teach the addition and subtraction to a student with dyscalculia who is in third grade at elementary school. Before preparing individualized program, the student was given a pretest to measure about his level of the subject. The instruction was carried out in a room in the school, with a time of 40 minutes per day in…

This research investigated students' sources and causes of errors and misconception in solving routine problems involving addition, subtraction, multiplication, and division of integers. This qualitative study involved observation of eight Year 7 classes and interviews with the respective classroom teachers. Sixteen Year 7 students who exhibit…

During collaborative learning in online learning communities, teachers usually guide their students through the learning process by means of discussion-based didactics. According to relevant research, an uncontrolled, nonintrusive discussion environment is usually insufficient for promoting higher cognitive processing (HCP). To address this…

This study was conducted from a perspective that adopts a broad vision of mathematical talent, defined as the potential that a subject manifests when confronting certain types of tasks, in a successful way, that generate creative mathematical activity. To analyse this, our study proposes a Praxeological Model of Mathematical Talent based on the…

In this paper, we make a qualitative analysis of didactic experiments performed with five 6 to 10-year-old children and five primary school teachers, starting from a structured game with probabilistic elements. The fundamental idea is to stimulate probabilistic thinking not only by playing a card game with decision making in uncertain situations,…

The initial training of mathematics teachers in Spain can start in the final year of the mathematics degree when the students, and future teachers, select courses related to teaching the discipline. At that time, since over the next two years they will probably be certified to enter the profession, it is worth asking oneself what mathematical…

We introduce a template to (i) scaffold the problem solving process for students in the physics 1 course, and (ii) serve as a generic rubric for measuring how expertlike students are in their problem solving. This template is based on empirical studies of the problem solving practices of expert scientists and engineers, unlike most existing…

Contribution: Increased understanding of the influence of a project-based multidisciplinary design and innovation course on students' engineering design thinking, specifically regarding problem framing. Background: Entrepreneurship-related education has been offered to engineering and technology students, but its influence has been discussed…

The aim of this study is to investigate how an augmented reality mobile math trails program can provide opportunities for students to engage in meaningful mathematical modelling activities. An explorative research design was conducted involving two mathematics teachers and 30 eight grades in Semarang, Indonesia. An Augmented Reality Mobile Math…

In partnership with the Consortium for Policy Research in Education, RFA has been studying Philadelphia schools' take-up of an instructional reform that has demonstrated positive impacts on teacher knowledge and student learning in math. The Ongoing Assessment Project (OGAP) is designed to deepen teachers' understanding of foundational concepts in…

Critical thinking is the essential tool for ensuring that students fulfill their promise. But, in reality, critical thinking is still a luxury good, and students with the greatest potential are too often challenged the least. "Thinking Like a Lawyer": (1) Introduces a powerful but practical framework to close the critical thinking gap;…

Computers are problem-solving tools at heart. Without an operating system though, they would be rendered useless. Most computer users are unaware of the inherent capabilities of the bare OS and the problems it can solve for them. This comes naturally in an era of commercialized solutions in the form of apps and software packages. However, gaining…

Generally speaking, students have difficulty reporting out measurements and estimates of quantities used in the laboratory, and with handling the significant figures associated with them. When required to make calculation involving quantities with different numbers of significant figures, they have difficulty in assigning the corresponding digits…

Arithmetic is a major mathematical focus in elementary school curriculum, and researchers such as Mason (2008) claim that "algebraic thinking is required in order to make sense of arithmetic" (p. 58). When adding, subtracting, multiplying, and dividing, learners must rely on a small set of fundamental properties also important for the…

In this paper, we derive the result of the classical gambler's ruin problem using elementary linear algebra. Moreover, the pedagogical advantage of the derivation is briefly discussed.