This paper focuses on an implementation a sequence of instructional activities about addition of fractions that has been developed and implemented in grade four of primary school in Surabaya, Indonesia. The theory of Realistic Mathematics Education (RME) has been applied in the sequence, which aims to assist low attaining learners in supporting…

This paper demonstrates the explanatory power of the participatory-anticipatory distinction postulated by Tzur and Simon (2004). Using data from our current project, we show how this lens allows us to make sense of seeming inconsistencies in a student's development of a mathematical conception. More broadly, the distinction allows us to observe,…

The mathematics required for teaching is increasingly becoming an important issue for research (Ball, Thames & Phelps, 2008). This study examines the development and quality of the mathematical content knowledge of a cohort of pre-service primary teachers. We commenced the study of the impact of a Model-Based Teaching and Learning (MBTL)…

This study examined the effects that computer-assisted instruction had on students' attitudes toward a mathematics lesson and toward learning mathematics with computer-assisted instruction. The computer software we used was based on the ASSURE Instructional Systems Design and the ARCS Model of Motivation, and the software was designed to teach…

The literature seems limited in what is known about conceptual processes that underlie evolution of students with learning disabilities (SLD) conceptions of fractions. This exploratory study examines how a foundational scheme of unit fractions (1/n) may evolve through the mathematical activity of two fifth grade girls. We analyze data segments…

The key purpose of this study was how we taught the use of benchmark strategy when comparing fraction for fifth-graders in Taiwan. 26 fifth graders from a public elementary in south Taiwan were selected to join this study. Results of this case study showed that students had a much progress on the use of benchmark strategy when comparing fraction…

This study investigates the problems posed by Turkish pre-service primary teachers and explores the issues they encountered while posing problems related to fractions. A free problem-posing task was administered to 98 pre-service primary teachers who are in sixth academic term, and task-based interviews were conducted with eight volunteered…

This paper is located within the research into encouraging learners to reason mathematically and become engaged with concepts rather than just procedures. It reports on a research in progress examining two techniques to be used at the beginning of a sequence of lessons in order to elicit students' prior knowledge and understanding of topics about…

Student models for adaptive systems may not model collaborative learning optimally. Past research has either focused on modeling individual learning or for collaboration, has focused on group dynamics or group processes without predicting learning. In the current paper, we adjust the Additive Factors Model (AFM), a standard logistic regression…

Student models for adaptive systems may not model collaborative learning optimally. Past research has either focused on modeling individual learning or for collaboration, has focused on group dynamics or group processes without predicting learning. In the current paper, we adjust the Additive Factors Model (AFM), a standard logistic regression…

In this paper, the authors discuss a portion of the design research process of developing an intelligent tutoring system (ITS) for classroom use. The goal of this ITS is to simultaneously provide automated support for student learning and generate diagnostic information for teachers that can lead directly to actionable recommendations for pedagogy…

This study explores the impact that co-designing a virtual manipulative, Fractions Lab, had on teachers' professional development. Tapping into an existing community of practice of mathematics specialist teachers, the study identifies how a cooperative enquiry approach utilising workshops and school-based visits challenged 23 competent primary…

Reflecting concerns about student attainment and participation in mathematics and science, the Effecting Principled Improvement in STEM Education ("epiSTEMe") project attempted to support pedagogical advancement in these two disciplines. Using principles identified as effective in the research literature (and combining these in a novel…

The objective of our study is to understand and analyse what significance cognitive and emotional networks of classroom processes have in mathematics learning. The subject of the study includes two classrooms from Year 5 of a teacher training school, their pupils (NA=17, NB=19) and student teachers (N=4). The course on decimals, which consisted of…

This case study uses the Technological Pedagogical Content Knowledge (TPACK) framework to describe how teachers from two contiguous school districts in southwest Virginia implemented "The CandyFactory," an iPad-specific learning game that focuses on pre-algebraic concepts, particularly fraction knowledge. As a result of this…