This paper describes the process for employing two principal instruments for relating the categories identifying the central phenomenon in grounded theory analysis. The Conditional Relationship Guide contextualizes the central phenomenon and relates structure with process. The second tool, the Reflective Coding Matrix, captures the higher level of…

This article describes the rich thinking that can go into solving a difficult equation. The authors also give some sources for challenging mathematical problems.

In 4 experiments, the authors explored the role of visual layout in rule-based syntactic judgments. Participants judged the validity of a set of algebraic equations that tested their ability to apply the order of operations. In each experiment, a nonmathematical grouping pressure was manipulated to support or interfere with the mathematical…

Preinstruction SAT scores and normalized gains (G) on the force concept inventory (FCI) were examined for individual students in interactive engagement (IE) courses in introductory mechanics at one high school (N=335) and one university (N=292), and strong, positive correlations were found for both populations (r=0.57 and r=0.46, respectively).…

One possible approach students can cope with abstract algebra concepts is reducing abstraction. This notion occurs when learners are unable to adopt mental strategies as they deal with abstraction level of a given task. To make these concepts mentally accessible for themselves, learners unconsciously reduce the level of the abstraction of the…

Abstraction is a major concept in computer science and serves as a powerful tool in software development. Pattern-oriented instruction (POI) is a pedagogical approach that incorporates patterns in an introductory computer science course in order to structure the learning of algorithmic problem solving. This paper examines abstraction processes in…

This paper describes the development, use, and analysis, of an educational tool inspired by the history of the optical mechanism of vision. We investigated 12-year-old students' reasoning about vision. Most of them explain it as the result of something coming either from the object or from the eye. Moreover, some of them think that light…

This article describes how first graders' sense of number can be developed through the perspective of measurement. (Contains 5 figures.)

Students' views about science were correlated with their approaches to lab practice. Three distinct cases are discussed in detail: empiricist-oriented, rationalist-oriented, and constructivist-oriented students. A coherent epistemological theory was constructed for each case, by considering the different degrees of certainty and confidence each…

Piaget's studies clearly highlight two qualitative advances made during the preoperational period. The first is the breakthrough of representational intelligence, beginning around 2 years of age. The second is the emergence of coordinated representational thought, beginning around 4 years of age. This paper focuses on the second advance, which…

Clinical semiotics is defined and discussed as the discipline having to do with the interrelation between specifically human methods of communicating and processing information and specifically human psychiatric and psychosomatic disorders. (Author/RM)

It is the aim of this paper to make a few suggestions concerning the application of the epistemological apparatus as developed by Edmund Husserl and his successors to one section within the area of art - namely, imaginative literature. (Author)

A study investigating developmental differences in the ability to reason with conditional propositions used five variations of Wason's selection task to assess conditional reasoning in 132 eighth, tenth, and twelfth grade adolescents. In addition to examining developmental differences, the study had as an objective to examine the role of semantic…

Schemata, as defined recently by reading researchers, represent generic concepts which are stored in memory. They include underlying objects, situations, events, actions, and sequences of actions for use in interpreting new experiences. Research on schemata suggests that teachers need to pay attention to the types of questions they ask when…