Digital technologies for mathematics education are continuously developing. Still, much remains unknown about how students use these tools and how this affects learning. For example, tablets nowadays come with multi-touch options that allow for a more embodied approach to geometry education, compared to mouse interactions. However, little is known…

Feedback in educational technologies can teach and engage students in math, but questions remain on how to present failure feedback that supports positive learning behaviors. We explore how error- and reward-based feedback influenced students' choices to replay completed problems in "From Here to There!," a math game-based educational…

A digital wall is a tool for students to structure and register their online work on mathematical problem-solving activities that involve the coordinated use of digital technologies. How could students use such digital wall to understand mathematical concepts and to develop problem-solving competencies? The aim of this study is to analyze and…

This study builds on another project focused on primary grade teachers' integration of technology (screencasting). Original findings showed that participating teachers changed their practices to better align with research-based practices in early mathematics teaching. Two years later, the authors returned to the district to work with teachers from…

Many factors play a role in a students' learning experience, but students' course interaction behaviors are particularly important toward fostering success. Instructors build learning tools (such as videos, online quizzes, etc.) that provide students with the opportunity to extend their learning outside the classroom. These tools require students…

Learning environment on mathematics for autistic children is a prototype of a digital environment with dynamic adaptation features designed to offer activities towards the development of mathematical reasoning in children aged 6-12 years, diagnosed with autism spectrum disorders (ASD), a neurodevelopmental disorder characterized by deficits in…

As a group of middle school mathematics teachers and teacher educators, the authors have focused their attention on using innovative practices coupled with high cognitive demand tasks to engage students, pique their interest in mathematics, and promote conceptual understanding. This article explores their three-act task design. In act 1, students…

The purpose of this study was to evaluate whether supplemental instruction and online homework can improve student performance and understanding in a first-semester calculus course at a large urban four-year college. The study examined the metacognitive and study skills and posttest scores of students. The study also focused on students' and…

The increasing numbers of ELL and bilingual students in high schools, their high dropout rate, their low performance on standardized tests, and their low representation in STEM and gifted programs make urgent the need to focus on productive and effective instructional techniques to teach math to ELL/bilingual students in ways that motivate them to…

We describe the application of the Evidence-Centered Design (ECD) framework to measure the self-regulated learning (SRL) strategies of students' enrolled in an online mathematics course by using their trace logs captured by a Learning Management System (LMS). We found that the ECD framework was helpful in building evidentiary arguments for…

Information and Communication Technologies (ICT) in education provide a new learning environment where the student builds his own knowledge, allowing his visualization and experimentation. This study evaluated the Geogebra software in the learning process of Calculus. It was observed that the proposed activities helped in the graphical…

Ever wondered why children have difficulty using a ruler? In this article Michael Drake investigates some of the difficulties students encounter and provides some ideas for teaching about and learning to use rulers.

This is an extended conference proceedings report [Long Paper] based on a shorter contributed report at the same conference. A variety of computerized learning platforms exist. In mathematics, most include sets of problems to complete. Feedback to users ranges from a single word like "Correct!" to offers of hints and partially- to…

This study investigates the effects of applying an inverted classroom model in a second-semester calculus course at a large regional university in the southwest during the Spring of 2013. The sample consisted of four class sections with the same instructor, with a total of 173 students; two class sections were in the experimental group, whereas…

Educational strategies have evolved over the years due to research breakthroughs and the application of technology. By using the latest learning innovations, curriculum and instructional design can be enhanced and strengthened. Also, as learners move away from traditional scholarly media and toward technology-based education, students gain an…