We investigate teachers' practices in a whole-class context when they scaffold students' learning in situations where students use technologies that facilitate group learning to solve mathematical problems in small groups. We describe teachers' practices in order to evaluate their contribution to "Whole-Class Scaffolding" in the context…

Many introductions to algebra in high school begin with teaching students to generalise linear numerical patterns. This article argues that this approach needs to be changed so that students encounter variables in the context of modelling visual patterns so that the variables have a meaning. The article presents sample classroom activities,…

Earlier institution-sponsored research revealed that about 20% of students in community college basic math and pre-algebra programs lacked a sense of part-whole relationships with whole numbers. Using the same tool with a group of 86 workforce students, about 75% placed five whole numbers on an empty number line in a way that indicated lack of…

A picture is worth more than a thousand words--in mathematics too. Many students fail in learning mathematics because, in some cases, teachers do not offer the necessary visualization. Nowadays technology overcomes this problem: computer aided instruction is one of the most efficients methods in teaching mathematics. In this article we try to…

There is a long-standing tradition in mathematics education to look to history to inform instruction. An historical analysis of the genesis of a mathematical idea offers insight into: (i) the contexts that give rise to a need for a mathematical construct; (ii) the ways in which available tools might shape the development of that mathematical idea;…

This study explored the connections between teacher leadership and a professional development model focused on problem-solving, Math Teachers' Circles (MTC). Surveys were completed by 213 MTC participants resulting in three years of data across multiple sites. A mathematics education leadership framework provided a data analysis tool. Findings…

Developing mathematical inquiry practices requires that teachers are explicit about classroom norms that support these practices. In this study, we asked: "How can a teacher scaffold the development of norms and practices in mathematical inquiry over time?" Analysis of classroom video over a year showed that the teacher constantly…

Based on my 5 years' experience that spanned the period 2002--2007 as an academic developer responsible for students and staff development, I realised that creativity was generally marginalised in undergraduate studies. In 2008, I enrolled for my PhD with the purpose of finding out whether advanced undergraduate classrooms supported students'…

Background: This study investigated learning outcomes and user perceptions from interactions with a hybrid intelligent tutoring system created by combining the AutoTutor conversational tutoring system with the Assessment and Learning in Knowledge Spaces (ALEKS) adaptive learning system for mathematics. This hybrid intelligent tutoring system (ITS)…

University programmes on translation usually include courses/modules for translation practice. In teaching translation practice, different teachers adopt different teaching approaches. The effectiveness of a teaching approach is usually governed by some contextual factors and may be evaluated in different ways including student evaluation. The…

The general purpose of this study was to examine teachers' and students' perceptions and practices of peer-led learning in Ghion secondary and preparatory school in Bahir Dar City, Ethiopia. To conduct the research, quantitative and qualitative methods were employed. The sample of the study was taken from the population of 41 teachers and 629…

An increasing amount of attention and public funding has been dedicated in recent years to the field of Early Childhood Education and the expansion of early childhood programs in the United States. Program quality in early childhood is evaluated based on program-level structural features and instructional support (e.g. problem solving, feedback,…

Teachers' perceptions of students' capabilities are particularly important in efforts to support ambitious instructional reforms. In this paper, we explore one teacher's efforts to resolve conflicts and tensions as she engages with new practices associated with ambitious mathematics teaching. While many conflicts arose in the first year of the…

Mr. Buxton is a perplexed elementary mathematics teacher. He co-teaches a second-grade classroom, with Ms. Snyder. In their classroom they have 25 students; five are identified as academically at risk, and three receive special education services. In the past Mr. Buxton successfully used an instructional approach consisting of (a) modeling, (b)…

This study documents the inclusive, deliberate, and unintended educational practices in Japan for mathematically gifted students. It also aims to identify various schools' strengths and challenges in improving the mathematics education of these students. Case studies with multisite designs were undertaken in five middle schools selected using…