Algebra is critical in shaping future mathematics success and is integral to the K-12 curriculum. Despite its inclusion, a common challenge arises as students' progress to higher grades without a solid foundation, resulting in challenging learning experiences. This action research study focuses on the algebraic learning experience of a Grade 7…

Cognitive development of eighth-grade students, as identified by Jean Piaget, occurs during a time when many of them are transitioning between concrete operations and formal operations where the ability to think in abstract concepts becomes possible. Because of this period of transition, many eighth-grade students find difficulty in demonstrating…

A pretest-training-posttest design assessed whether training to improve spatial skills also improved mathematics performance in elementary-aged children. First grade students (mean age = 7 years, n = 134) and sixth grade students (mean age = 12 years, n = 124) completed training in 1 of 2 spatial skills--spatial visualization or form…

A pretest-training-posttest design assessed whether training to improve spatial skills also improved mathematics performance in elementary-aged children. First grade students (mean age = 7 years, n = 134) and sixth grade students (mean age = 12 years, n = 124) completed training in 1 of 2 spatial skills-spatial visualization or form…

This article reconsiders Case's theory of central conceptual structures (CCS), examining the relation between working memory and the acquisition of quantitative CCS. The lead hypothesis is that the development of working memory capacity shapes the development of quantitative concepts (whole and rational numbers). Study I, with 779 children from…

This article explains how high-stakes standardised tests are distorting primary school mathematics and failing to promote pupils' cognitive development. It argues for observation and journaling for both formative and summative assessment in order to recover an emphasis on reflective mathematical understanding and problem-solving.

The study sought to investigate conceptual change process. It is specifically aimed to probe children's initial ideas and how or to what way those ideas alter in the long run. A total of 18 children volunteered and participated in the study. Individual interviews were conducted. The children were asked to define the concept of evaporation, explain…

In the quest for quality in early childhood education, it is important to explore the subtleties that define socio-culturally relevant pedagogy. A qualitative, multi-case study approach was used to explore perspectives of teachers about socio-cultural influences on their teaching in kindergarten classrooms in Ghana. Four teachers from two…

Our paper builds on the construct of the zone of proximal development (ZPD) (Vygotsky in Mind in society: the development of higher psychological processes, Harvard University Press, Cambridge, 1978) to analyze the relationship between students' answers and the help they receive as they construct them. We report on a secondary analysis of…

Children, 4-6 years of age, in special education kindergartens were randomly assigned to a classification training (n 45) and a comparison (n 49) group. Children in the training group were taught the Classification unit of Bright Start, whereas those in the comparison group received a regular content-oriented curriculum. Both groups were given…

The purpose of this study was to investigate the quantifier structuring processes of teacher candidates doing the Abstract Mathematics course of the Elementary School Mathematics Teaching program. Educational activities assisting the students' structuring of quantifiers were provided through transitions between verbal (written) expressions…

Individuals in many cultures believe in omniscient (all-knowing) beings, but everyday representations of omniscience have rarely been studied. To understand the nature of such representations requires knowing how they develop. Two studies examined the breadth of knowledge (i.e., types of knowledge) and depth of knowledge (i.e., amount of knowledge…

A systematic review was carried out to examine the use of robots in early childhood and lower level education. The paper synthesizes the findings of research studies carried out in the last ten years and looks at the influence of robots on children and education. Four major factors are examined--the type of studies conducted, the influence of…

The purpose of this research was to study primary science students' conceptual development as it related to their understanding of materials and their properties: in particular, to determine how and why some students changed their concepts while others did not. The participants were thirty-two Grade 5 (10-11 year old) students. An instructional…

Many studies propose that chess is a game requiring cognitive skills and has positive effects on mental development. In recent years, chess training has also been emphasised as important during the early childhood period. However, no studies have been done with six-year-old children. The purpose of this study was to investigate whether or not…