Supporting students in becoming effective problem solvers is a critical component of K-12 mathematics instruction. Unfortunately, little is known about the factors that are related to problem solving proficiency in middle school students. We report the results of a study that employed a hierarchical linear regression analysis to examine the…

This paper reports a study that explored 11 to 12-year-olds' conceptions of the terms 'volume', 'capacity' and 'interior volume'. Semi-structured interviews, supported by the use of measurement resources, were used to gain insight into their thinking. Video-recordings of the interviews allowed analysis of dialogue, actions with the materials and…

The purpose of this research is to explore the views of pupils of primary (6th grade) and secondary education (3rd grade of Gymnasium & 3rd grade of lyceum) of the Ionian Islands, about renewable sources and energy saving. In Greece, significant research has been carried out on renewable sources and energy saving. Their findings showed that…

The aim of this research was to explore 11 to 12-year-old children's understanding of the mass of objects made from different materials, and the measurement of this attribute. In depth task-based interviews were conducted with six children attending six different schools; five were in Year 6 and one in Year 7. The children were found to hold…

The new research results on the online- testing method in the Latvian education system for a learning process assessment are presented. Data mining is a very important field in education because it helps to analyse the data gathered in various researches and to implement the changes in the education system according to the learning methods of…

We show how the novel use of a semantic representation based on Osgood's semantic differential scales can lead to effective features in predicting short- and long-term learning in students using a vocabulary learning system. Previous studies in students' intermediate knowledge states during vocabulary acquisition did not provide much information…

There is growing consensus that the process of planning mathematics lessons is as complex as teaching them, yet there is limited research on this. This paper reports on one aspect of a project examining issues in primary teachers' mathematics planning. The results, taken from a questionnaire completed by 62 primary teachers, indicate that when…

In this study we extend our prior exploration focused on the extent to which middle school teachers appropriately identified proportional situations and whether there were relationships between attributes of the teachers and their ability to identify proportional situations. For this study, we analyzed both a larger dataset (n = 32) and two…

In this study, we explored the potential of two forms of discussion (disciplinary vs. traditional) for 39 sixth- and seventh-grade students with or at-risk for LD, before writing historical arguments. Nine teachers who led small group discussions in six heterogeneous social studies classrooms implemented the intervention. Students who were…

Math homework is transforming at a rapid rate with the continuous advances in educational technology. Computer-based homework, in particular, is gaining popularity across a range of schools, with little empirical evidence on how to optimize student learning. In the current study, middle school students (N = 143) solved a set of challenging…

In this paper we report on five Grade 6 students' responses to a proportional reasoning task. We conducted pair interviews within a longitudinal study focused on extending a hypothetical learning trajectory for length measurement. Results suggest that there exists a link between children's level of conceptual and procedural knowledge for length…

In this study we explored to what extent middle school teachers were able to appropriately identify proportional situations when presented with various mathematical structures and if there were relationships between attributes of the teachers and their ability to identify proportional situations. Interestingly, there were no strong relationships…

This article develops three different types of student explanations and studies how teachers respond to these. The data come from five classrooms at upper grade 5-7 (ages from eleven to thirteen) where all mathematics teaching for one week was filmed. These films were transcribed and student explanations identified. Through a close inspection of…

Incorporating Vygotsky's concept formation theory and Berger's appropriation theory, an assessment which highlights authentic operations with the concept of area was designed and administered to 44 sixth grade students to determine what types of understanding they maintained. The results indicated the more novel the situation, the more diverse…

The Computer-Supported Intentional Learning Environments (CSILE) database has been developed to support students' progressive discourse. Students can externalize their thoughts in the database in the form of texts or graphics, and then they can manipulate their represented knowledge in building further knowledge. They can asynchronously…