Structural reasoning is a combined ability to "look for structures, recognize structures, probe into structures, act upon structures, reason in terms of general structures, and see how a piece of knowledge acquired resolves a perturbation experienced" (Harel and Soto, 2017). The purpose of this study was to explore the cognitive…

Ariadne is a touch-based program for the learning of homotopies of paths, without the use of formalism, by building mental models. Using Ariadne, the user can construct points, paths by dragging points and homotopies by dragging paths as well as compute winding numbers of paths, all on a variety of surfaces, through touch gestures. Ariadne…

Students with the most significant cognitive disabilities often display deficits in mathematics. One method that has had limited research to determine the effectiveness with students with the most significant cognitive disabilities is a program called TouchMath. The purpose of this study was to investigate the use of the TouchMath strategy with…

Digital developments that foreground the sensory body and movement interaction offer new ways of engaging with mathematical ideas. Theories of embodied cognition argue for the important role of sensorimotor interaction in underpinning cognition. For visually impaired children this is particularly promising, since it provides opportunities for…

The aim of the study was to conduct a systematic review in order to synthesize the evidence-based literature on mathematics education among students with visual impairment (VI). Studies were identified through searches of electronic databases (SCOPUS, PubMed, ERIC, and Web of Science). The authors included articles published between 1 January 2000…

A survey was conducted with 86 teachers across 10 states regarding their students' ease of use of physical manipulatives incorporated with implementing evidence-based early numeracy instruction. The majority of respondents indicated significant student accessibility barriers. Specifically, 75% of respondents had students with tactile defensiveness…

Students sometimes struggle with visualizing the three-dimensional solids encountered in certain integral problems in a calculus class. We present a project in which students create solids of revolution with clay on a pottery wheel and estimate the volumes of these objects using Riemann sums. In addition to giving students an opportunity for…

This paper reports on the findings from individual interviews and focus group discussions involving six teachers implementing the Singapore Mathematics Curriculum (SMC) in the Foundation Phase (Grade R to Grade 3) in a school in South Africa. The interviews presented an opportunity to explore teachers' experiences with their attempts to use the…

The purpose of this study was to systematically replicate and extend previous studies of the TOUCHMATH program, a multi-sensory mathematics program (Bullock, Pierce, & McClellan, 1989). Three middle school students with moderate and multiple disabilities (e.g., autism and moderate intellectual disabilities) participated. Students were taught how…

This study examined the usability of an assessment-for-learning (AfL) system that provides audio-tactile graphics for algebra content (geometric sequences) for individuals with visual impairments--two who are blind and two with low vision. It found that the system is generally usable as a mathematics AfL system. (Contains 4 tables.)

The aim of this study was to investigate the effectiveness, generalizability, and the permanency of the instruction with the touch math technique. Direct instruction was used to the instruction of the basic summation skills of the students with mild intellectual disabilities. A multiple probe design across the subjects was used in this study. The…

These proceedings contain the papers of the 14th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2017), 18-20 October 2017, 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…

This case study describes a congenitally blind undergraduate student who successfully completed a basic statistics course. Accommodations specific to his blindness included: a textbook on tape and review tapes before examinations; a talking calculator; graphs made on Braille paper and other tactile teaching aids. Affective problems encountered…

This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…