Literature suggests that "current characterizations of the terms procedural knowledge and conceptual knowledge are limiting and are, in fact, impediments to careful investigation of these constructs" (Star, 2005, p. 405). We examined secondary mathematics teachers' understanding of procedural and conceptual knowledge at superficial and…

Analogical reasoning is a basic learning mechanism. Analogy in teaching science is a very popular pedagogical approach in many countries. The use of analogy is not recognized as one of the formal teaching learning strategies to facilitate students' science learning in Bangladesh. In secondary science teaching, teachers' unconscious and…

At the onset of the coronavirus disease (COVID-19) global pandemic, our interdisciplinary team hypothesized that a mathematical misconception--whole number bias (WNB)--contributed to beliefs that COVID-19 was less fatal than the flu. We created a brief online educational intervention for adults, leveraging evidence-based cognitive science…

Newton's third law is one of the most important concepts learned early in introductory mechanics courses; however, ample studies have documented a wide range of students' misconceptions and fragmented understandings of this concept that are difficult to change through traditional instruction. This research develops a conceptual framework model to…

Anthropomorphisms are widespread at all levels of the educational system even among science experts. This has led to a shift in how anthropomorphisms are viewed in science education, from a discussion of whether they should be allowed or avoided towards an interest in their role in supporting students' understanding of science. In this study we…

Misconceptions in geometry are an essential problem in the understanding of geometric terms by primary and pre-primary aged children. Present research shows some misconceptions in geometry demonstrated in the understanding of circles, squares, triangles and oblongs for children in the last year of kindergarten and pupils in the last year of…

Adult developmental mathematics students often work under great pressure to complete the mathematics sequences designed to help them achieve success (Bryk & Treisman, 2010). Results of a teaching experiment demonstrate how the ability to reason can be impeded by flaws in students' mental representations of mathematics. The earnestness of the…

Science classes are full of abstract or challenging concepts that are easier to understand if an analogy is used to illustrate the points. Effective analogies motivate students, clarify students' thinking, help students overcome misconceptions, and give students ways to visualize abstract concepts. When they are used appropriately, analogies can…

Discusses Vygotsky's theories about concept formation, his distinctions between everyday and theoretical concepts, and how empirical generalizations can lead to misconceptions. Examines the implications of these theories for mathematics instruction and its relationship to the current mathematics reform. (34 references) (MDH)

Two studies examined preschoolers' understanding of germs as causes of illness. Previous research suggests that preschoolers know that certain behaviors lead to illness without understanding why or how. In the first study, 22 children between 4 and 5 years old were presented with 12 brief stories describing characters engaged in either dangerous…

The purpose of this study was to: (1) investigate the relationship between the learning approaches of high school students, their prior knowledge, and their attitudes toward chemistry, and their performance on a misconceptions test; and (2) describe and analyze the differences between the responses of students of different learning approaches on…

Four experiments investigated children's ability to notice and remember events in which the acquisition of factual information occurs. Results indicated that children tend to report they have known newly learned information for a long time, suggesting that children have some understanding of knowledge acquisition, but not at the level of adults.…

Presents the results of three studies examining children's conception of the mind itself as an independent, active entity. Findings revealed a developing ability in children to interpret and produce statements personifying the mind and provided considerable evidence of children's movement toward a conception of the mind as an active agent…

Examined 8- and 10-year olds' understanding of the unique features of and potential relations among mental activities. Found a developing tendency to organize mental activities on the degree to which memory was a component of the activity. Results suggest that a constructivist theory of mind develops in later childhood. (AA)

This study describes the relationship of two cognitive variables, logical thinking and disembedding ability, to learners' abilities to make conceptual shifts from less acceptable to more acceptable conceptual understandings of a physical phenomenon. The difference in the logical thinking and disembedding ability of students who exhibited different…