In 2014 NCTM advocated for productive struggle by expressing the need for teachers to allow their students the time necessary to grapple with their mathematical "uncertainties." We posit pre-service teachers need opportunities to productively struggle when learning and applying their mathematical understanding in order to understand how…

A summary of an experimental course on algebraic curves is given that was held for young learners at age 11. The course was a part of Epsilon camp. a program designed for very gifted students who have already demonstrated high interest in studying mathematics. Prerequisites for the course were mastery of Algebra I and at least one preliminary year…

An action research case study was conducted to investigate the effects of incorporating LEGO robotics into a seventh-grade mathematics curriculum focused on the development of proportional reasoning through the lens of Social Constructivist Theory. This research, which was part of a larger study, reports the findings when LEGO EV3 robots were…

The presented study used a problem-solving experience in engineering design with LEGO robotics materials as the real-world mathematics-learning context. The goals of the study were (a) to determine if a short but intensive extracurricular learning experience would lead to significant student learning of a particular academic topic and (b) to…

What if every middle school student learned to create a robot in math class? What if every middle school had a robotics team? Would students view mathematics differently? Would they have a different relationship with technology? Might they see science and engineering as fields driven by innovation rather than memorization? As students find…

LOGO and turtle graphics were an influential movement in primary school mathematics education in the 1980s and 1990s. Since then, technology has moved forward, both in terms of its sophistication and pedagogical potential; and learner experiences, preferences and ways of thinking have changed dramatically. Based on the authors' previous work and a…

Ordinary differential equations (ODEs) are one of the important topics in engineering mathematics that lead to the understanding of technical concepts among students. This study was conducted to explore the students' understanding of ODEs when they solve ODE questions using a traditional method as well as a computer algebraic system, particularly…

Robotic toys present unique opportunities for teachers of young children to integrate mathematics learning with engaging problem-solving tasks. This article describes a series of tasks using Bee-bots and Pro-bots, developed as part a larger project examining young children's use of robotic toys as tools in developing mathematical and metacognitive…

Many developed nations have a serious problem with a shortage in the supply of numerate graduates, fuelled by their school students' negative attitudes towards their future study of mathematics. At the same time, the smart phone and other personal sensing technological devices are becoming commonplace amongst students in schools and universities.…

For the last four years, Soenderholm School, near the town of Aalborg, Northjutland, Denmark, has had an optional subject in the seventh grade called First "Lego" League (FLL). FLL is an international contest which aims to advance pupils' scientific interest. The task is for participants to build and program a "Lego" robot able…

The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine…