This paper reports a study developed with twenty-six students from a 7th-grade class and was carried in the context of teaching experience in the school year of 2016/2017, using an applet, Equation Buster, on the learning of solving single-variable linear equations. The research objectives are to assess how this applet can help students to see the…

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,…

Using a multi-case approach, we examined students' behavior patterns in interacting with a serious game environment using the emerging technologies of learning analytics and data visualization in order to understand how the patterns may vary according to students' learning characteristics. The results confirmed some preliminary findings from our…

This inquiry presents two fine-grained case studies of students demonstrating different levels of cognitive functioning in relation to bilateral symmetry and reflection. The two students were asked to solve four sets of tasks and articulate their reasoning in task-based interviews. The first participant, Brittany, focused essentially on three…

This article reports on an investigation with first year undergraduate Product Design and Management students within a School of Engineering and Applied Science. The students at the time of this investigation had studied fundamental engineering science and mathematics for one semester. The students were given an open ended, ill-formed problem…

This study on the mental solving of systems of linear equations is part of a larger research program, aimed to gain a better understanding of the potential of mental mathematics activities with topics/objects other than numbers. Through outlining the study details and the activities engaged with, the paper reports on the variety of strategies…

The following study investigates the range of strategies individuals develop to infer and interpret cross-sections of three-dimensional objects. We focus on the identification of mental representations and problem-solving processes made by 11 individuals with the goal of building training applications that integrate the strategies developed by the…

This paper introduces a revised model for the development of basic computation skills. The model draws on four key phases, which have proven to be important for the development of calculation strategies and stresses the use of gestures and the verbalisation of concrete and mental images. This seems to be of crucial importance for children with…

Each new version of the GeoGebra dynamic mathematics software goes through updates and innovations. One of these innovations is the GeoGebra 5.0 version. This version aims to facilitate 3D instruction by offering opportunities for students to analyze 3D objects. While scanning the previous studies of GeoGebra 3D, it is seen that they mainly focus…

Gifted students with spatial strengths have areas of remarkable talent but are often overlooked, underidentified, and underserved in American schools. Their preference for learning through imagistic reasoning conflicts with traditional verbal instructional techniques typically used in schools. To better serve these students who have the potential…

Mathematics textbooks play a critical role in shaping instruction and the ways students and teachers use strategies. Math textbooks are written using language patterns that differ from the narrative patterns many elementary students typically read (Fang & Schleppegrell, 2010; Moje et al., 2012). Mathematical texts rely on a large amount of…

Visualization is mostly despised although it complements and--sometimes--guides the analytical process. This study mainly investigates teachers' preferences concerning the use of the visualization method and determines the extent to which they encourage their students to make use of it within the problem-solving process. This study was conducted…

The purpose of this study was to investigate the preservice secondary mathematics teachers' development of pedagogical understanding in the teaching of modular arithmetic problems. Data sources included, written assignments, interview transcripts and filed notes. Using case study and action research approaches cases of three preservice teachers…

Purpose: The purpose of this paper is to present a discussion of one element of a principal preparation graduate program that uses visualization as a technique to practice decision making. Design/methodology/approach: The author analyzed information collected from participants who created personal case studies using a visualization technique. Data…

For the thirty-seventh year, the Research and Theory Division and the Division of Instructional Design of the Association for Educational Communications and Technology (AECT) sponsored the publication of these Proceedings. Papers published in this volume were presented at the annual AECT Convention in Jacksonville, Florida. This year's Proceedings…