Grouping children by achievement levels is a thriving practice in New Zealand primary school mathematics classrooms. In this paper we look at the impact of a formative intervention project--"Developing Communities of Mathematics Inquiry"--that required a whole-school shift to mixed achievement grouping. Engeström's Cultural Historical…

This action research study investigated the change in professional development model in the acquisition of content knowledge for fourth-grade math teachers. The current professional development atmosphere is a traditional "sit and get" opportunity. However, research offers that teachers should be active participants in their learning.…

Preparing effective STEM (science, technology, engineering, mathematics) education teachers has become a priority of national economic importance (National Research Council [NRCJ, 2007) and this goal depends on teachers who understand content and possess effective teaching practices that impact student learning. True integration of STEM will…

Mathematics interventions aimed at accelerating the learning of students with mathematics difficulties (MD) should be developed through a design science approach such as the Curriculum Research Framework (CRF). Precision Mathematics is a National Science Foundation-funded DRK-12 Design and Development project focused on building mathematical…

"Mathematical Thinking: From Assessment Items to Challenging Tasks" is a compilation of 36 problem-based lessons that encourage students to engage in productive struggle and deep thinking. Its 36 full-length lessons for grades 2-8 are each inspired by an actual test item from the National Assessment of Educational Progress (NAEP).…

It is seen that students face certain difficulties when learning the concepts and the relationships between them in the mathematics education that aims at enabling students to learn on the highest level. Identifying and eliminating these difficulties, helping students in the learning process and guiding them are among teachers' tasks. Overcoming…

Children's worrying about their academic performance has profound implications for their learning and wellbeing in school. Understanding the contextual and psychological antecedents of students' worry thus represents an important area of research. Drawing on Eccles and colleagues' expectancy-value theory and Pekrun's control-value theory and using…

The teaching and research communities in mathematics education agree that mathematical discussions pose challenges in elementary classrooms. These challenges continue to motivate research on mathematical discussions, with a focus on how students use talk in discussions. This study addresses the question, "What can teachers and researchers…

Although the general development of mathematical abilities in primary school has been the focus of many researchers, the development of place value understanding has rarely been investigated to date. This is possibly due to the lack of conceptual approaches and empirical studies related to this topic. To fill this gap, a theory-driven and…

Although research suggests that many pre-service mathematics education programmes are weak interventions having a negligible effect on student teachers' knowledge, beliefs and attitudes, there is consensus that programmes that model and engage student teachers in reform teaching and learning approaches have the potential to effect positive change…

The present study investigated the development of fraction comparison strategies through a longitudinal analysis of children's responses to a fraction comparison task in 4th through 6th grades (N = 394). Participants were asked to choose the larger value for 24 fraction pairs blocked by fraction type. Latent class analysis of performance over item…

This study describes 3 years of mathematics intervention research examining the effectiveness of a summer individualized tutoring program for rising fourth-, fifth-, and sixth-grade students with low mathematics achievement. Based on an iceberg model of learning, an instructional framework was developed that identified and targeted students'…

Mathematics has been widely recognized as being challenging for most students. In this study, an online formative peer-tutoring approach was proposed to cope with this problem, and an online learning system was developed accordingly. To evaluate the effectiveness of the proposed approach, an experiment was conducted to explore its effects on…

This study examined the effects of low-achieving children's use of helping tools in a synchronous mathematics peer-tutoring system on the children's mathematics learning and their learning behaviours. In a remedial class, 16 third-grade students in a remedial class engaged in peer tutoring in a face-to-face synchronous online environment during a…

The aim of the study was to determine whether pre-service elementary mathematics teachers could write and use mathematical definitions. For this reason, the question sheet containing two questions, was given to 76 pre-service teachers in a public university who was taking general mathematics course. Qualitative research method was used during data…