Analogical reasoning has played a significant role in the development of modern mathematical concepts. Although some perspectives in mathematics education have argued against the use of analogies and analogical reasoning in instructional contexts, some attempts have been made to leverage the pedagogical power of analogies. I assert that with a…

Many geoscience phenomena cannot be perceived at human temporal or spatial scales. As a consequence, we can only understand many processes that drive geological phenomena through analogical reasoning. Building deep conceptual understanding requires instruction that activates the appropriate source analogs and allows students to build useful…

Narrative in science learning has become an important field of inquiry. Most applications of narrative are extrinsic to science--such as when they are used for creating affect and context. Where they are intrinsic, they are often limited to special cases and uses. To extend the reach of narrative in science, a hypothesis of narrative framing of…

At present, quality earth science education in grade school is rare, increasing the importance of post-secondary courses. Observations of post-secondary geoscience indicate students often maintain errant ideas about the earth, even after direct instruction. This qualitative case study documents model-building activities of students as they…

The aim of this study is to investigate the effect of a sociocognitive teaching strategy on young children's understanding of light. It explores their understanding of the concept of light as an entity that is transmitted independently of the light source and the final receiver. The study was conducted in three phases: pretest, teaching…

The instructional metaphor is an important bridge to understanding, particularly when students are undertaking tasks that are conceptually difficult and outside their previous experience. It is suggested that the limitations of the implicit metaphor of the procedural control languages are the main cause of the problems experienced with delivering…

This paper describes the conceptualizations, or mental models, of the nature of the bonding and structure of metals of a group of U.K. college students. It is suggested that these mental models may be understood in terms of the students' prior learning about covalent and ionic bonding, and the prevalence of a common alternative conceptual…

Purpose: Across mainstream educational leadership literature, the term vision has had two primary definitions: (a) a leader?s image of the future and (b) change goals. Translating vision into practice has become increasingly difficult, however, as educators have been bombarded with conflicting images and goals for schools. This article is…

Fourth-grade students who participated in a yearlong, whole-class teaching experiment not only reconceptualized natural numbers but also generated flexible solution strategies to perform numerical computations mentally and in writing. Students' reconceptualization of number was mediated by their perceived resemblance between the physical action of…

This paper proposes a methodology to calculate both the difficulty of the basic problems and the difficulty of solving a problem. The method to calculate the difficulty of problem is according to the process of constructing a problem, including Concept Selection, Unknown Designation, and Proposition Construction. Some necessary measures observed…