In the context of a large-scale randomized controlled trial, our team investigated "front line" teaching issues as schools implemented a fully digital, blended learning curriculum in mathematics. This paper focuses on observations of instruction within schools that were assigned to use the new digital resources. Compared to a…

The purpose of this mixed methods study was to determine the impact of synchronous online tutoring services on struggling middle school students' mathematics achievement. The online tutoring was provided as a response to intervention (RTI) Tier 3 support (intensive, individualized intervention) in schools implementing a school-wide mathematics…

The overarching goal of this four-phase, in-service project--Girls Engaged in Mathematics and Science--was to change attitudes, behavior, pedagogy, and curriculum for girls through the provision of a vibrant, engaging, digital portal program with media that extends learning beyond the traditional classroom. Described here, Phases I and II were…

Three classrooms of Grade 4 students from different schools and diverse backgrounds collaborated in early algebra research to solve a series of linear and quadratic generalizing problems. Results revealed that high- and low-achieving students were able to solve problems of recognized difficulty. We discuss Knowledge Building principles and…

This paper introduces the "IJCML" Special Issue dedicated to digital technologies and mathematics education and, in particular, to the work performed by the European Research Team TELMA (Technology Enhanced Learning in Mathematics). TELMA was one of the initiatives of the Kaleidoscope Network of Excellence established by the European…

This paper presents the methodology developed within TELMA for connecting and integrating the theoretical frames used by the different teams for studying the design and use of interactive learning environments in mathematics education. Two case studies are then analysed and compared in order to illustrate the methodology and the results it can…

Purpose: This paper aims to describe the activities designed and conducted with primary school, secondary school and university students to study the integration of alternative assessment and self-assessment online tools in mathematics courses using iTest. iTest is an educational software tool born to support the continuous evaluation system…

In this article the manifold aims and theorised benefits of Learning by Design are explored and evaluated through the practices and experiences of an early years mathematics teacher. The article examines and elaborates the ways in which this teacher took up and embraced Learning by Design as both a professional meta-language and as a design…

The analysis presented in this article tries to obtain a global view of the field of interactive learning environments (ILE) dedicated to arithmetic and algebra. As preliminaries, a brief overview of evaluation methods focusing on educational software is given and a short description of ten ILEs concerned by the study is provided as a kind of a…

The Math Forum Problems of the Week Library is designed to leverage the power of interactive technology to hold student interest while increasing their success as strategic thinkers. The Math Forum Library is an online source of non-routine challenges in which problem solving and mathematical communication are key elements of every problem. This…

A detailed specification of the LOGO programing system is given. The level of description is intended to enable system programers to design LOGO processors of their own. The discussion of storage allocation and garbage collection algorithms is virtually complete. An annotated LOGO system listing for the PDP-10 computer system may be obtained on…

This study implemented a multiplication program based on systematic practice, aimed at improving children's recall of basic multiplication facts. Four Year 5 classes were recruited to participate in the study. Two classes practised multiplication facts using pencil and paper worksheets and another two classes practised on computers. Eleven…

The Soloworks project is based on the belief that student-controlled computing is a promising innovation in secondary mathematics instruction. The Soloworks project is following up three years of experience in the Pittsburgh public school system with a new program encorporating both student-controlled computing and modern math curricula. The work…

An overview is provided of De Anza College's use of computerized instruction in its mathematics courses. After reviewing the ways in which computer technology is changing math instruction, the paper looks at the use of computers in several course sequences. The instructional model for the algebra sequence is based on a large group format of…

Computer algebra systems are being used more and more frequently in mathematics courses of all levels. For instructors to use these systems effectively, they need to have an idea of how the systems work. To illuminate the mechanics, the implementation of a simple computer algebra system will be described. Further, if instructors understand the…