A pivotal information about the structure of students' comprehension underlying from which the knowledge is gained can be identified through the mental model. This study aimed at describing the six levels of students' mental model in comprehending the concept of the integer. The subject of this research was 40 students consisting of 20 students…

Research shows that well before children can verbalize their thoughts, they often create internal visual models of what scientists are and what they do (Farland-Smith 2012). Therefore, discovering, understanding and recording a student's own stereotypical perceptions are crucial to science instructors, as it is believed that perceptions may affect…

This article presents results of a research study. Sixty-one first graders' responses to interview questions about negative integer values and order and directed magnitudes were examined to characterize the students' mental models. The models reveal that initially, students overrelied on various combinations of whole-number principles as…

Students' prior knowledge has been identified to play an important role in the learning process through conceptual change. In physical education, positive changes in students' lifestyles may come from changes in their conceptual understanding. In this study 45 third grade students (mean age = 8.54 years) were interviewed during their regular…

This paper outlines a theoretical perspective for studying student understandings of the concept of addition. The notion of operational sense is defined as a way to describe the notion of addition as a mathematical object, paving the way for an application of the theory of reification at this level. Previous frameworks relative to problem solving…

Verbal and nonverbal classification tasks were administered in Spanish and English to 30 bilingual children, aged 6-7. Results indicate the positive influence of bilingualism on cognitive development and support a model in which bilingual children construct two representational systems--one, nonverbal and universal across languages; and a second,…

Validates a framework for assessing children's thinking in multidigit number situations and uses the framework to evaluate instructional programs. Key constructs--counting, partitioning, grouping, and number relationships--appear stable within each of 5 levels across 12 case studies, suggesting a possible hierarchy of thinking. (DF)

The objective of this paper is to explain the need for and defend the sufficiency of the child's-play method of teaching the place value notation concept to preschool and elementary school children. Discussion first illustrates error patterns of school children in the use and interpretation of place value notation, arguing that the errors reflect…

This book contains a compilation of papers presented at the International Conference on Education and New Developments (END 2017), organized by the World Institute for Advanced Research and Science (W.I.A.R.S.). Education, in our contemporary world, is a right since we are born. Every experience has a formative effect on the constitution of the…