This research study presents the PGBE model for teaching and learning percentages with students of Grade 7 when their cognitive development enables the conceptual understanding of percentages as proportional statements, and offers the possibility for more effective matching of them with fractions and decimal numbers. The abbreviation PGBE presents…

Classrooms with higher teaching quality were associated with higher learning outcomes in mathematics and science. Classrooms where teachers reported high degrees of limitations to teaching in the classroom--including disruptive students or students with language barriers--were associated with lower learning outcomes. These are two of the important…

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…

This study investigates children's metarepresentational competence (MRC) with regard to listening to and making sense of simple sonic stimuli. Using diSessa's (2002) seminal work on MRC in mathematics and sciences as background, it aims to assess the relative importance children attribute to several criteria for representational adequacy…

A considerable amount of learning, especially in the early years, is incidental learning. What is incidental learning? It is learning that occurs simply through exposure to the environment--what people hear, see, and experience. It takes place in the natural course of events, without intentionally directed instruction about how or what to learn.…

This article describes some aspects of Piaget's Theory of Cognitive Development. It highlights the importance of giving young children specific access to explore conservation in measurement, which will give students invaluable experiences in measurement that in years to come will be regarded as their prior knowledge of the concept. This is…

Talk is the foundation for thought and understanding and the key to literacy learning. Research demonstrates that powerful metacognitive strategies can be taught to help students self-monitor their comprehension when reading print and digital texts. This article provides a repertoire of speaking and listening strategies to develop the…

Factors affecting performance on base-10 tasks were investigated in a series of four studies with a total of 453 children aged 5-7 years. Training in counting-on was found to enhance child performance on base-10 tasks (Studies 2, 3, and 4), while prior knowledge of counting-on (Study 1), trading (Studies 1 and 3), and partitioning (Studies 1 and…

Beginning teachers in Northern Ireland and the United States conducted structured inquiry projects in which they investigated elementary children's understanding of history and social studies. Interviews with the teachers and analysis of their written assignments indicate that these investigations challenged their beliefs about children's prior…

Using examples from children drawing in a year one classroom, this article examines firstly, how drawing operates as a unique mental tool, and secondly, the role of drawing in the construction and development of knowledge. Young children utilize prior knowledge and experience to negotiate and construct meaning through their interactions with…