Learners in general struggle when working with word problems. South African learners in particular have an added barrier owing to the many official languages that have been legislated. The South African Department of Basic Education, through its curriculum statements, envisages that problem solving will play a fundamental part in mathematics…

This paper comprises the results of a design study that aims at developing a theoretically and empirically based learning trajectory on statistical inference for 9th-grade students. Based on theories of informal statistical inference, an 8-step learning trajectory was designed. The trajectory consisted of two similar four step sequences: (1)…

This study examines how visual thinking may affect Jordanian female ninth-graders reading abilities. The design had an experimental feel about it. The study included 66 ninth-grade female students who were studying English as a foreign language (EFL). An instructional program was created and put into place, and a pre-post reading exam was created…

This study aims to examine the relation between spatial ability and creativity in Geometry. Data was collected from 94 ninth graders. Three spatial abilities were investigated: spatial visualization, spatial relations and closure flexibility. As for students' creativity, it was examined through a multiple solution problem in Geometry focusing on…

This study explores the effectiveness of GeoGebra in enhancing students' understanding of vectors in mathematics education. The research compares traditional teaching methods with the application of GeoGebra to determine its impact on conceptual and procedural knowledge acquisition. Vectors are often challenging for students to grasp due to their…

Visualizations may help students understand the network of connections among multiple documents. This study explored how ninth-grade students used a novel digital document mapping scaffold to construct models of multiple documents. We examined students' maps and mapping processes in order to understand how they used the scaffold to visually…

The challenge of creating reliable technology-based resources for science learning is a perennial challenge in Philippine education, with limited learning materials accessible to all learners. This study is about the development of a videocast embedded with physics education technology (PhET) simulation that served as supplementary learning…

This study set out to assess the ability of year nine students to identify and classify the most likely natural and mixed risks, both on a national scale and within the Metropolitan Area of Porto (AMP). We also sought to assess the respective spatial perception of different risks at regional level. For this purpose, a questionnaire was applied and…

In genetics education, symbols are used for alleles to visualize them and to explain probabilities of progeny and inheritance paradigms. In this study, we identified symbol systems used in genetics textbooks and the justifications provided for changes in the symbol systems. Moreover, we wanted to understand how students justify the use of…

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…

Middle school students need opportunities to craft informal mathematical arguments beyond justification of steps in an algorithm. Pentominoes provide an excellent vehicle for such activity. In this article, the authors describe an exploration with pentominoes that engaged a group of ninth-grade students in proportional reasoning, dilation, and…

In this study, we have synthesized the research on visualization and representation to propose a model consisting of 4 major components of visualization competence in learning science: constructing, interpreting, transforming, and critiquing visualizations. We have developed and validated an assessment that measures students' visualization…

Visualisation plays a critical role in the teaching and learning of mathematics word problems. It is an essential tool for enabling learners to create meaningful mental pictures necessary for solving mathematical problems. Appropriate visualisation requires good reading skills, English proficiency and an understanding of mathematical vocabulary,…

Awareness of one's own strengths and weaknesses during visualisation is often initiated by the imagination -- the faculty for intuitively visualising and modelling an object. Towards exploring the role of metacognitive awareness and imagination in facilitating visualisation in solving a mathematics task, four secondary schools in the North West…

This case study contrasts the strategies used by two students in solving bilateral symmetry and reflection tasks, based on the differential properties they attended to. The ninth grader focussed on congruence of sides as the main property of reflection whereas the eighth grader focussed on perpendicularity and equi-distance, as is the normative…