In 1981 Dixon introduced a clever idea for factoring large numbers. This idea has become the basis for many current factoring techniques. In this paper, we show how to implement the idea on the computer in the classroom. Additionally, pseudocode is given for finding examples suitable for demonstrating Dixon factorization.

Cardinal number acquisition plays an important role in children?s sense of number. Various investigations have revealed the influence of cultural variables on cardinal number acquisition. In this research, we investigated Turkish children?s acquisition of cardinal numbers. Quantitative research method was used. The participants were 100 preschool…

This study examines the core predictors of the covariance in reading and arithmetic fluency and the domain-general cognitive skills that explain the core predictors and covariance. Seven-year-old Finnish children (N = 200) were assessed on rapid automatized naming (RAN), phonological awareness, letter knowledge, verbal counting, number writing,…

Comprehension of sentences with a center-embedded, object-gapped relative clause (ORC) is challenging for children as well as adults. Mismatching lexical and grammatical features of subject noun phrases (NPs) across the main clause and relative clause has been shown to facilitate comprehension. Adani et al. concluded that children's comprehension…

The purpose of this study was to examine the effects of utilizing explicit instruction, point-of-view video modeling, and augmented reality technology to teach mathematics to students with disabilities. A multiple probe single-case research design was used. Three students with Learning Disabilities (LD) who were receiving special education…

This study examined the effects of training involving spatial versus nonspatial representations of numerical magnitude for promoting arithmetic fluency. The key goal was to advance theoretical understanding of the relation between spatial and math learning, while simultaneously laying the groundwork for the development of future educational…

When asked to identify objects having unique shapes and colors among other objects, English speakers often produce redundant color modifiers ("the red circle") while Spanish speakers produce them less often ("el circulo (rojo)"). This cross-linguistic difference has been attributed to a difference in word order between the two…

This study examines the impact of manipulation on the performance of 3.5- and 4-year-old children in the Give-N task with concrete representations (sets of bottle caps and pictures of dots) and spoken number words. In this task, children were asked to give a certain number of items (cookies) using the three representational formats. Children were…

Differences in children's math knowledge emerge as early as the start of kindergarten, and persist throughout schooling. Previous research implicates the importance of early parent number talk in the development of math competency. Yet we understand little about the factors that relate to variation in early parent number talk. The current study…

Despite the importance of computational estimation skill for the improvement of number sense, little research exists on preservice teachers' estimation skills and their view on estimation in the US context. This study examined the computational estimation skill of 58 preservice elementary teachers (PSTs) and its relationship to their views of the…

Students' construction, coordination, and abstraction of units underlie success across multiple mathematics domains. Structures for coordinating units underscore notions of numbers as composite units (e.g., five is a unit of five and five units of one). In this working group, we seek to facilitate collaboration amongst researchers and educators…

Letters and numbers are different domains, and their differentiation increases with schooling. It has nonetheless been argued that reading alphabetic and numerical materials partly involves the same processes, even in adults. Whether individuals with dyslexia have difficulty reading and writing numbers remains to be established. This study…

Human languages, signed and spoken, can be characterized by the structural patterns they use to associate communicative "forms" with "meanings." One such pattern is paradigmatic morphology, where complex words are built from the systematic use "and re-use" of sub-lexical units. Here, we provide evidence of emergent…

An integer-based mathematical game was the main subject of the study. The aim of this study was to analyse the mathematical content of the game which was developed by a fourth-grade student called Esin, and to examine the intuitive learning that develops through this game. The game was based on the addition of the positive or negative numbers won…

To date, of the many studies on early algebraic thinking, none, to our knowledge, has examined the relationships between algebraic thinking and negative numbers. Students encounter persistent difficulties in dealing with these numbers, and we believe that these could be addressed through the development of algebraic thinking. We are particularly…