Background: While it has been widely demonstrated that children's and adolescents' understanding of rational number plays an important role in their mathematics achievement, we have limited knowledge about the cognitive correlates of this understanding. Aims: The current study aimed at examining whether children's non-symbolic ratio processing and…

This article reports and compares results from an interview study of early childhood teachers in the U.S. and Hong Kong, with a focus on the math outcomes that children may gain from play with unit blocks. Teachers were interviewed to obtain their ideas of the benefits of unit block play in three focal areas: geometry, measurement, and numeracy.…

Based on the problems obtained, the ability of students to subjects of research statistics is still categorized as low until this causes them to be weak in completing their final assignments. Therefore, the researchers investigated how students' mastery of the research statistical concepts and their learning motivation using learning innovations,…

In the Swedish Prison Education Program only two out of ten reach a passing grade in their mathematics courses. Large variation in prior knowledge makes it difficult to meet the students at their level. This paper reports on a project aiming to enhance students' possibilities to access mathematics through individualization. Research findings on…

In this article, we wish to explore the influence of the figure of the drawing on the argumentation of students who are involved in a proof task. It is about analysing the knowledge that students associate with parallelograms and the interactions between students and drawing. Our research is based on both Toulmin's model and Vinner's concept image…

At the University of Paderborn, the course "Introduction into the culture of mathematics" is required for all first-year students who enter the study program for future mathematics teachers at lower secondary level (grade 5-10). In this inquiry-based transition-to-proof course, we use four different kinds of proofs (the generic proof…

This research aims to see and describe the types of questions posed by prospective teachers in learning concepts, principles, procedures and mathematical facts. The mathematics learning is an activity undertaken by teachers, students and learning environments in learning the mathematical material. The mathematics learning, in this case, is the…

The purpose of the study was to investigate the effect of inquiry-based instruction enriched with origami activities on 7th grade students' achievement in reflection symmetry and self-efficacy in geometry. Two classes, instructed by the first author of the paper, were randomly assigned as experimental and control groups. In order to gather data,…

Beliefs and pedagogical content knowledge (PCK) are two factors influencing teaching practice in the classroom. This research aims to describe the beliefs and PCK of the prospective mathematics teachers and the relationship between the two factors on the teaching practices in the mathematics classroom. Participant in this research includes a…

The introduction of the school subject Mathematical Literacy (ML) was to develop numerate and well informed citizens in South Africa. However the success of the subject is dependent on the ways in which teachers mediate the subject with their learners. The purpose of the study reported on in this article was to explore the extent to which the…

This research aimed to examine the difficulties and failures of eleventh-grade students regarding probability concepts. With this aim, ten different open-ended probability problems were asked to the 142 eleventh-grade students. Each of these problems requires using different basic probability concepts. It is qualitative research, and the data…

This study aimed at: (1) determining whether the Concrete-Pictorial-Abstract (CPA) strategy has a positive effect on students' mathematical conceptual understanding (MCU) and students' mathematical representation (MR) on fractions; (2) describing how CPA strategy can improve students' MCU and students' MR on fractions. This research used a mixed…

Exploiting the special synergy between science and mathematics can deepen children's understanding of scientific concepts and ideas and provide a range of contextualised opportunities for children to apply their mathematical knowledge and skills. With some creative thought and careful planning, science activities can be developed so that they…

This study aims to understand from literature and from teacher perspectives the features of an effective professional development program for teacher learning and the essential instructional elements and activities for teaching with conceptual understanding. The goal was to produce a set of professional development modules on linear functions that…

This study explores preservice teachers engaging in a ratio activity connecting the wages of men and women to the number of men and women in government positions. Mathematical learning expands the critical literacy framework reading and writing the word situating mathematics as the world itself. Furthermore, the bridging of mathematics, the self…