The purpose of this paper is to explore the importance of problem posing in learning mathematics at the compulsory education level. Despite acknowledging that children have a natural disposition to pose questions, no curricular provision currently exists for the conceptualisation and operationalisation of mathematical problem posing within…

The study reported on here aimed to examine the effectiveness of the successful intelligence interactive module (SIIM) that employs thinking skills using the successful intelligence theory. This was an empirical study that used mixed method analysis. The rationale for the development of this interactive module was to increase the analytical,…

The literature emphasizes the interest and need to learn the concept of continuity with understanding, although this meaning it is not consensual nor specified how it may emerge and be developed in the learning process. In this paper we report the results of a study aiming to analyse Brazilian preservice mathematics teachers' understanding of the…

Relational understanding constitutes students' awareness of appropriate procedures to solve problems along with logical reasoning. It is pivotal to help students solve problems in mathematics. It is necessary that the teaching of mathematics be directed to achieve relational understanding. Accordingly, students are capable of solving complicated…

This article analyses the impact of the role and significance of the virtual laboratory on ninth-grade lyceum students' attainment of more-in depth scientific knowledge and improved practical skills in the physics topic area of electromagnetism. Pedagogical experiments were conducted at the Baku European Lyceum. The results show that the virtual…

This study aims to investigate how the different solutions, problem-solving strategies, and the number of strategies used by the preservice secondary school mathematics teachers on non-routine mathematical problems change according to grade levels. This study was conducted with 152 preservice teachers studying at the department of elementary…

This paper presents the findings of a study conducted with preschool teachers trialling an intervention in which executive function activities are embedded in teachers' daily practices and imaginary play is used to build meaningful problem situations that children solve using executive functions. The participants were 227 preschool children (53%…

We argue that understanding the cognitive foundations of computational thinking will assist educators to improve children's learning in computing. We explain the conceptual relationship between executive functions and aspects of computational thinking. We present initial empirical data from 23 eleven year old learners which investigates the…

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.…

This article uses action-process-object-schema theory to study the mental constructions about the limit of series during a Calculus 1 course at a university. The researchers also used the theory's teaching methodology to teach the topic. A plethora of research on the limit concept is available and suggests that the concept is on record as being…

This qualitative case study research explored children's social disputes in one New Zealand kindergarten. The disputes typically related to the possession of resources and space. "First possession" was found to be significant, hence the name of this article. The notion that children have to experience "possession" and…

This study aimed to investigate the mathematical problem posing skills of gifted students. The participants of the study, designed as a case study, were 55 middle school students (20 sixth grade, 17 seventh grade, 18 eighth grade) who were studying at Science and Art Center in a city in the Eastern Anatolia region. Data were collected through a…

In this article, the authors present an inquiry activity presented to Year 7 students in a mathematics excellence class at a P-12 school in regional Queensland. Different students solved the activity (comparing the sugar content of fruit) using decimals, percentages, ratio and rates. By asking the students to solve a problem they were much more…

This paper examines three elementary school mathematics textbooks (one textbook from each of 6th, 7th, and 8th grade) to determine to what extent these textbooks present questions with multiple outcomes and multiple solution methods. Document analysis as a qualitative research method is adopted. The findings reveal that only 8% of all three…

Students' solutions of enumerative combinatorial problems may be assessed along two main dimensions: the correctness of the solution and the method of enumeration. This study looks at the second dimension with reference to the Cartesian product of two sets, and at the 'odometer' combinatorial strategy defined by English (1991). Since we are not…