One of the well-known approaches to creativity differentiates between creative person, process, product, and press. In the study presented in this paper we focus on creative process and product associated with Problem Posing through Investigation (PPI) by experts in mathematical problem solving. We link the creative process to creativity of PPI…

Growing from the commognitive framework, this study is concerned with objectification -- a special way of talking about mathematical objects, which is key to one's concept formation. The study explores how objectification can be manifested in the discourse on square roots that unfolds in writing. The data comes from a class in a foundation…

In order to achieve the present study's goal--to understand better the phenomenon of mathematical giftedness--we performed a multidimensional examination of the mental processing in students who exhibited mathematical expertise (EM) at the secondary school level. The study included participants from the three groups: students who excelled in…

The study examined how student control over metacognitive prompts in a multimedia environment affects students' ability to solve mathematical problems in immediate comprehension tasks using a multimedia program and a delayed-transfer test. It also examined the effect on metacognitive discourse, mental effort, and engagement with multimedia-based…

This article aims to present the findings of a research which investigated the effect of a difference in word formulation and mathematical characteristics of story problems on their successful solution by preservice mathematics teachers (students) and practising mathematics teachers. The findings show that in the case of a problem with a…

Analogical reasoning--perceiving similarities in different situations and the transfer of such information--facilitates learning and understanding. However, children with learning disabilities (LD) typically demonstrate deficits in such information processing strategies. In this study, we investigated the analogical problem-solving differences…

This study investigates algebraic reasoning and self-regulation skills among elementary school teachers who participated in a professional development program either with IMPROVE metacognitive questioning (PD + Meta) or with no metacognitive guidance (PD). Sixty-four Israeli teachers participated in a 3-year program designed to enhance…

The effects of dissonant and consonant music on cognitive performance were examined. Situational dissonance and consonance were also tested and determined as the state where one's opinion is contrasted or matched with the majority's opinion, respectively. Subjects performed several cognitive tasks while listening to a melody arranged dissonantly,…

Describes a study that illustrates that collaborative-thought experiments are emergent phenomena triggered by events as a whole rather than being predesigned. Points out that participants gradually adopt shared graphical representations and meanings. Contains 28 references. (DDR)

Students frequently misconceive the process of problem-solving, expecting the linear process required for solving an exercise, rather than the convoluted search process required to solve a genuine problem. In this paper we present an activity designed to foster in students realization and appreciation of the nature of the problem-solving process,…

This article presents research on students' understanding of basic concepts in Graph Theory. Students' understanding is analyzed through the lens of the theoretical framework of reducing abstraction (Hazzan, 1999). As it turns out, in spite of the relative simplicity of the concepts that are introduced in the introductory part of a traditional…

This paper further develops an instructional method called here "process-object linking and embedding". The idea is to link the familiar mathematical processes to objects in a familiar situation, then re-embed the new link through mathematical symbols into their mathematical construction. It makes use of children's extra-mathematical,…

Hypothesis generation has been proven to be a crucial phase in the clinical inquiry. The current instruments for measuring clinical problem-solving skills, however, are unable to differentially assess the hypothesis generating ability. For assessing this particular capability a new test is described. It is based upon exposing the examinee to an…

The ability of 378 elementary school students (aged 9-12 years) in Israel to extract "lawfulnesses" (invariants) from experience and to react to error by reexamining the problem and finding the error was studied on a self-paced inference task. Results are discussed in terms of postfailure reflectivity and postfailure impulsivity. (SLD)

Describes a hierarchical system of problem-solving strategies employed for the solution of a specific kind of problem about speed. Presents the results of 563 high school students tested with problems relating to distance, speed, and time. Provides a rationale for the methods used. (TW)