This article provides an analysis of a data set coming from a two-phase qualitative study that focused on fostering primary students' abstraction of interrelations among quadrilaterals (squares, rectangles, parallelograms, rhombuses, trapezoids). The pilot study consisted of work with eight primary students operating at van Hiele level 2 (e.g.,…

Supporting students of all levels to move beyond empirical arguments, which employ example based reasoning to endorse universal truths and are thus mathematically invalid, remains a challenging goal in mathematics education. Arguments that make use of generic examples are both mathematically valid and accessible for even young learners. However,…

Describing and measuring instructional quality of mathematics lessons is a common goal amongst mathematics education researchers. Such work takes several forms such as classifying and coding instructional moves and student activity or providing high-level rubric-based scores in relation to categories. In this work, we share an innovative mixed…

This paper uses the commognitive framework to analyse how a group of four primary school students classify odd and even numbers. The findings show how students' reasoning is grounded in their personal uses of "odd" and "even". The students attend to different features of "oddness" and "evenness" and agree on…

Proportional reasoning is a key topic both at school and in everyday life. However, students are often misled by their preconceptions regarding proportions. Our hypothesis is that these limitations can be mitigated by working on alternative ways of categorizing situations that enable more adequate inferences. Multiple categorization triggers…

In this article, a series of activities on explicit teaching of specific aspects of the 'nature of science' are presented. The authors explore teaching the nature of science through inquiry-based activities on electric circuits. The activities concern classification of objects as conductors or insulators and took place in three classes of 4th…

Research suggests that readers learn about word meanings from the various contexts of words in texts. Therefore, context clue instruction is often recommended as a way of boosting students' word learning skills. Ideally, such instruction should focus on context clue types that are common in authentic texts. We examined the prevalence of context…

This study was conducted to determine the degree of relationship that exists between learners' level of comprehension and solving skills on mathematical word problems of grades four to six learners in Kang-iras Elementary School. It attempted to establish a relationship between the learners' level of comprehension and solving skills. This research…

Education agencies are evaluating teachers using student achievement data. However, very little is known about the comparability of test-based or "value-added" metrics across districts and the extent to which they capture variability in classroom practices. Drawing on data from four urban districts, we found that teachers were…

This study reports evidence of cross-linguistic influence (CLI) that surfaced from English compositions of SiSwati learners of English in Swaziland, where English is a second language. Although CLI has been studied widely in other languages, it has not been studied in SiSwati and English, and its implications for instruction are not known.…

In this study, through the observation of mathematically promising students in regular classrooms, relevant learning environments and the learning needs of promising students, teacher approaches and teaching methods, and the differences between the promising students and their normal ability peers in the same classroom were investigated.…

Reading and writing difficulties are markers for some forms of learning disorders, and measuring the distance between the child's performance and an expected level of attainment is a common approach to diagnosis. However, there are several problems with relying on the gap between achievement and expectation for arriving at a diagnosis, not least…

Having taught K-12 students and preservice teachers for almost 20 years, the author knows the problems that arise when students are asked to generate an investigation of their own design. Therefore, she developed some lessons that significantly increased the diversity and quality of the investigations students generated. This article describes…

Differentiated instruction is a way of teaching, which gives students multiple choices to learn information. Fourth grade teachers at one elementary school were not implementing the differentiated instructional techniques that would help them address the learning needs of their students. The purpose of this project study was to create a teacher…

This study examined the effects of aligning the "Virginia Standards of Learning (SOL)" English Framework with Bloom's Taxonomy on student achievement. Changes prompted by "No Child Left Behind" legislation increased accountability for student success, as well as mandated testing to determine annual academic growth of all…