Students encounter mathematics word problems as early as kindergarten and continue to see them throughout their schooling experience. Schema instruction with an attack strategy can support students to successfully navigate word-problem solving. Schemas help students categorize word problems by similar characteristics. To better support students…

Elementary students' early development of embedding and disembedding is complex and paves the way for later STEM learning. The purpose of this study was to clarify the factors that support students' embedding (i.e., overlapping shapes to form a new shape) and disembedding (i.e., identifying discrete shapes within another shape) through the use of…

The Science of Reading era has (re)ignited conversations about equitable literacy instruction. Conflicting literacy research and literacy media reports complicate matters further. Guided reading, a ubiquitous form of small group instruction designed to meet readers' needs through individualized conferring and independent reading with…

This study aimed to examine the diagrammatic representation skills and problem-solving performances of students according to their problem-solving representations. A cross-sectional survey design using quantitative methods was used in this study. The sample consisted of 31 second-grade and 41 third-grade students from a public primary school in…

The aim of this longitudinal research is to examine the development process of scientific and consistent knowledge structures of first, second, and third-grade students in middle school within the concepts of melting and dissolution according to conceptual change theories at the end of the education and training processes carried out in…

Schema instruction improves word-problem solving for students with mathematics difficulty (MD; e.g., Powell et al., 2015); however, prior research suggests that students need word-problem-specific language comprehension in addition to schema knowledge to build word-problem models (Fuchs et al., 2015, 2018). Students have general word knowledge…

Background: Initial teacher education (ITE) research in South Africa shows gaps in preservice teachers' (PSTs) primary mathematics knowledge. Aim: We study the mental mathematics understandings and teaching experiences of three PSTs who achieved high gains for learners they taught mental mathematics to using the Mental Starters Assessment Project…

Research consistently shows that among young children, poor social skills and problem behaviors can lead to poor relationships with teachers and peers (Boivin et al., 1995), higher risk of academic failure (Buhs et al., 2006), and higher school dropout (Gilliam, 2005). Moreover, prekindergarten (PreK) and kindergarten (K) teachers report feeling…

The aim of the current study was to examine the way in which preschool children deal with the concept of sound. For this purpose, a study was carried out in the context of detecting and categorizing the mental representations among young children of sounds which propagate through space from source to the receiver. Specifically, 91 preschool…

The development of (early) numerical cognition builds on children's ability to understand and manipulate quantities and numbers. However, previous research did not find conclusive evidence on the role of symbolic and non-symbolic skills in the development of (early) numerical cognition. The aim of the current study was to clarify the relation…

Schema-based instruction (SBI) is a word problem solving strategy that teaches students to identify problem types by focusing on the underlying structure of the mathematical situation. SBI is gaining an evidence-base for students with a specific learning disability; however, few experimental studies have evaluated the effects of SBI for students…

Number sense is the basis of arithmetic and algebra, but counting dominates instruction, and fine-grained explorations of what children "do" as they develop number sense are relatively rare. Conceptually congruent actions that align with the mathematics support learning, and multitouch technology can afford using these actions while…

There is an educational expectation that children's natural drawing will develop into proficient mathematical representations and formal diagrams, yet there is little research available to guide the assessment and development of children's mathematical drawing skills. The aim of this paper is to explore how Year 2 children (approx. 7 years) chose…

The purpose of this study is to determine the mental models of primary school students about the concept of environment. The research group consisted of 400 students, 219 girls and 181 boys, enrolling to the 3rd and 4th grade in a primary school located in Istanbul. The students were asked to draw the environment and explain the items they draw.…

When reasoning about time, English-speaking adults often invoke a "mental timeline" stretching from left to right. Although the direction of the timeline varies across cultures, the tendency to represent time as a line has been argued to be ubiquitous and primitive. On this hypothesis, we might predict that children also spontaneously…