Algebraic thinking in children can bridge the cognitive gap between arithmetic and algebra. This quantitative study aimed to develop and test a cognitive model that examines the cognitive factors influencing algebraic thinking among Year Five pupils. A total of 720 Year Five pupils from randomly selected national schools in Malaysia participated…

Research on what neural mechanisms facilitate word reading development in non-alphabetic scripts is relatively rare. The present study was among the first to adopt a multivariate pattern classification analysis to decode electroencephalographic signals recorded for primary school children (N = 236) while performing a Chinese character decision…

We share here results from a quasi-experimental study that examines growth in students' algebraic thinking practices of generalizing and representing generalizations, particularly with variable notation, as a result of an early algebra instructional sequence implemented across grades 3--5. Analyses showed that, while there were no significant…

Engaging children in justifying, forming conjectures and generalising is critical to develop their mathematical reasoning. Previous studies have revealed limited opportunities for primary school children to justify their thinking, form conjectures and generalise in mathematics lessons. Forms of justification of Year 3/4 children from three schools…

The study of functions is a critical route into teaching and learning algebra in the elementary grades, yet important questions remain regarding the nature of young children's understanding of functions. This article reports an empirically developed learning trajectory in first-grade children's (6-year-olds') thinking about generalizing functional…

The paper presents findings of primary school children's performance on classification and generalisation tasks to demonstrate the fundamental connection between their verbal thinking processes and problem-solving, on the one hand, and the practical activities of their society and culture, on the other. The results reveal that, although children…

The main purpose of this study is to determine the strategies of using the generalizing patterns of the primary fifth grade students. The practice of this research is conducted on twelve students, which have high, middle and low success levels. Task-based interviews and students journals are used as the tools for data collection. For the analysis…

The generalization of acquired competencies, specifically flexibility of closure, was the subject of this research. Flexibility of closure was defined as the ability to demonstrate selective attention to a specified set of elements when presented within various settings (the larger the number of settings from which the desired set of elements can…

Ways in which elementary school teachers can encourage children's maintenance and generalization of memory strategies were investigated. Questions guiding the research were: Does the teacher (1) Repeat strategy suggestions frequently? (2) Give a rationale for strategy use or feedback concerning the effectiveness of the strategy? and (3) Attempt to…

Kindergarten and first grade children were trained to choose the middle-sized stimulus in either a single stimulus set or in each of two nonoverlapping stimulus sets. Findings were reported in terms of the assumption that cognitive processes are important in the intermediate-sized transposition paradigm. (Author/DB)

This guest editorial describes ways teachers can use guessing games about an unknown item in a "mystery box" to help children improve their abilities to listen to others, recall information, ask purposeful questions, classify items by class, make inferences, synthesize information, and draw conclusions. The author presents information…

Examines developmental trends in and relationships between the metacommunicative, metamemorial, and metasocial-cognitive skills of 182 first- through sixth-grade children. (Author/MP)

A potential cause for children's failure to transfer learning strategies was explored. Subjects were 68 first, third, and fifth graders. (MP)

Four experiments with 4th, 5th, and 6th graders addressed conceptual change in response to anomalous data about empirical regularities in science. Impedance to conceptual change in response to anomalous data could potentially occur at any of four cognitive processes: observation, interpretation, generalization, or retention. In the four…