The study advances the instrumental approach to mathematics education (Drijvers et al., 2013; Trouche, 2003), aiming to elucidate the interplay between students' reasoning competency, conceptual knowledge and tool utilisation in dynamic digital geometry and algebra environments. The dynamic properties of these environments pose a nuanced…

Background: Prior work has shown that middle school students struggle with algebra and that game-based educational technologies, such as DragonBox and From Here to There!, are effective at improving students' algebraic performance. However, it remains unclear which aspects of algebraic knowledge shift as a result of playing these games and what…

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…

Mathematics as a discipline requires abstract operations under many sub-learning areas is considered hard by students to learn. In this respect, it has become indispensable to make mathematics teaching processes fun and to structure teaching procedures by using different teaching methods, techniques or materials. In this context, the purpose of…

Fourteen students with visual impairments in Grades 5-12 participated in the field-testing of AnimalWatch-VI-Beta. This computer program delivered 12 prealgebra math problems and hints through a self-voicing audio feature. The students provided feedback about how the computer program can be improved and expanded to make it accessible to all users.…

We conducted an evaluation study of the Middle School Algebra Readiness Initiative, a middle school mathematics intervention that was implemented in two West Virginia school districts during the 2011-2012 school year. In participating middle schools, the Carnegie Learning MATHia® software intervention and accompanying classroom curriculum were…

This study examines whether "SimCalc Mathworlds"[TM] improves students' knowledge of the algebra concepts of rate and proportionality. Strengths: The study is a well implemented randomized controlled trial (RCT) with acceptable sample attrition rates and no indications of other problems. Cautions: The study authors describe a rigorous…

Algebra is one of those hard-to-teach topics where pupils seem to struggle to see it as more than a set of rules to learn, but this author recently used the software "Grid Algebra" from ATM, which engaged her Year 7 pupils in exploring algebraic concepts for themselves. "Grid Algebra" allows pupils to experience number,…

The purposes of this study were to (1) investigate non-accelerated middle schools students' understanding of pre-algebraic concepts, in particular, addition and subtraction of integers and the notion of equality; (2) describe and analyze how non-accelerated middle school students interact with The Geometer's Sketchpad (GSP) applets depicting…

The What Works Clearinghouse (WWC) reviewed interventions to promote middle school students' math knowledge and skills. Because there is some variation in how school districts organize middle school, we considered curricula aimed at students in grades 6 through 9, covering one or more of the following content areas: numbers and operations,…

The "I CAN Learn[R] Mathematics Curriculum" is designed to help ethnically diverse, inner-city students in grades 7 through 10 achieve parity in mathematics and problem-solving skills. It uses an interactive software program to teach pre-algebra and algebra. The "I CAN Learn[R] Algebra 1" course, which was used in all of the…

T-algebra is a project for creating an interactive learning environment for expression manipulation tasks of elementary algebra. Our main didactical principle has been that all the necessary decisions and calculations at each solution step should be made by the student, and the program should be able to understand the mistakes. This paper…

This document contains the second volume of the proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Abr…