The perception and manipulation of spatial information are essential for mathematical learning, and research highlights gender differences in spatial abilities. The present study contributes to the question of whether these differences are evident at earlier ages and how they interact with task complexity in mental rotation. We developed the…

In this article, Rebecca Seah and Andrew Beencke explore the importance of developing critical thinking and spatial reasoning skills. They explore a series of activities designed to develop the visualisation and critical thinking skills with Year 4 students.

Visualisation is an important part of the cognitive process in mathematics. Pedagogical-psychological theoretical frameworks concerning cognitive processes consider perception and visualisation as basic conditions for the creation of correct mental imagery. This study examined visualisation as a key factor in the development of geometric concepts…

The aim of this study was to examine whether there is a relationship between the spatial reasoning skills and mathematical thinking profiles of elementary school students. The quantitative method of descriptive survey model was used in the study. The sample of the study comprised 103 fourth grade elementary school students in Turkey. The…

The importance of practical learning environments for developing preservice teachers' (PSTs') dispositions and skills for teaching mathematics is underscored in a growing body of literature. Hence, teacher preparation programs often include methods courses embedded within K-12 schools. Utilized to a lesser extent; however, are campus-based…

This study aims at determining to what extent visuals contribute to success in non-routine problem solving process and what types of errors are made when solving with visuals. Comparative model was utilized for identifying the effect of visuals on student achievement, and clinical interview technique was used to determine the types of errors. In…

Teachers report that engaging students in solving contextual problems is an important part of supporting student understanding of algorithms for fraction division. Meaning for whole-number operations is a crucial part of making sense of contextual problems involving rational numbers. The authors present a developed instructional sequence to…

Algebra is often considered as difficult and mysterious doctrine due to numerous symbols that represent mathematical notions. Results of the research on students' interpretation of literal expressions show that only a small number of students are ready to accept that a letter can represent a variable. The aim of this research with students of the…

This article describes a teacher and class as they discover that their reading comprehension strategies cross over into mathematical problem solving. The students practice using visualization techniques to improve their understanding of word problems. (Contains 5 figures.)

These proceedings contain the papers of the 11th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2014), October 25-27, 2014, which has been organized by the International Association for Development of the Information Society (IADIS) and endorsed by the Japanese Society for Information and Systems in…