Considering the importance of mathematics in modern society, it is crucial to understand the cognitive processes involved in the acquisition of complex mathematical competency. As a new generation of evaluation theory, cognitive diagnosis has its unique advantages in personalized evaluation. Based on the mathematical cognitive framework of Trends…

Debates about lowering the voting age often center on whether 16- and 17-year-old adolescents possess sufficient cognitive capacity and political knowledge to participate in politics. Little empirical research has examined age differences in adolescents' and adults' complexity of reasoning about political issues. We surveyed adults (n = 778;…

In this paper we provide the rationale and foundation for the building and sharing knowledge key practice for the "CBAL"™ English language arts competency model. Building and sharing knowledge is a foundational literacy activity that enables students to learn and communicate what they read in texts. It is a strategic process that…

This article presents an exploratory study aimed at the identification of students' levels of understanding in spherical geometry as van Hiele did for Euclidean geometry. To do this, we developed and implemented a spherical geometry course for student mathematics teachers. Six structured, "task-based interviews" were held with eight student…

Increased second-language (L2) proficiency is associated with a shift from explicit to implicit processing; however, the neural underpinnings are of this shift are not well understood. Furthermore, it is known that unaccusative verbs cause persistent difficulties in L2 learning. In this study, behavioral and event-related potential (ERP) responses…

An empirical analysis of the relationship between science reasoning skills and the amount of information acquired during science learning as predicted by a neuromathematical model of information processing is presented. Subjects were 93 adolescents (mean age of 15.4 years old) with a IQ range of 91-142. (Author/JN)

The foundations of knowledge by tradition have been treated analytically, and knowledge has been characterized as a theoretical subject. This article introduces a steering mechanism as the prerequisite for a study of knowledge work and maintenance on empirical grounds. Knowledge is treated synthetically, that is, as something that exists only…

The development of economic reasoning in young children is examined from the theoretical perspective of Piaget's work on cognitive development. To determine a possible correlation between grade level and the type of reasoning children use to approach economic problems, 70 urban children, preschool through grade 3, answered questions which measured…

Discusses two methods for developing and assessing fluid abilities. In the first method, students are asked to solve increasingly unfamiliar problems in a domain; and in the second, students are required to organize knowledge in new ways or view it from different perspectives. (SLD)

Research summarized here demonstrates how similarity thinking can be used in training programs to help ethnic minority children acquire basic skills. Current achievements are often attenuated by poor language skills, especially when English is not the first language of the child. Similarity thinking assesses the child's ability to learn without…

A paradigm for learning economic concepts based on cognitive development and learning theory is offered as a guideline for teaching and research. Discussion is divided into two sections. The first section establishes the model's theoretical framework, which is based on two propositions. The first of these is that economic knowledge is not a fixed…

Information about student achievement outcomes is presented, and tests for each outcome area are described. The tests are categorized according to knowledge objectives, skill objectives, and intellectual disposition. Knowledge objectives include comprehension of facts and principles within a particular discipline (specialized knowledge) or a broad…

Describes the method of having children observe videotapes of other children's mathematics activities to gain insights into the observing children's thought processes and the observed children's activities. Discusses the applications of this method as a research tool and as a probe for classroom teachers in evaluating students. (MDH)

How science understandings are communicated and how students construct meaning of these communications are central issues in epistemic research. Students' metacognition of the meaning-making process is embedded in this line of research. This paper reports a study to examine children's declarative, procedural, and conditional knowledge of science…

Does conceptually oriented instruction jeopardize students' computational competence? If it does, then why are so many reform efforts continuing to emphasize the importance of teaching for conceptual understanding? If it does not, then why are the majority of teachers at all grade levels continuing to teach for computational competence without…