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…

To provide personalized support on educational platforms, it is crucial to model the evolution of students' knowledge states. Knowledge tracing is one of the most popular technologies for this purpose, and deep learning-based methods have achieved state-of-the-art performance. Compared to classical models, such as Bayesian knowledge tracing, which…

Bayesian knowledge tracing model (BKT) is a typical student knowledge assessment method. It is widely used in intelligent tutoring systems. In the standard BKT model, all knowledge and skills are independent of each other. However, in the process of student learning, they have a very close relation. A student may understand knowledge B better when…

Cognitive diagnostic models can uncover students' mastery of multiple fine-grained skill attributes or problem-solving processes. A number of studies have applied cognitive diagnostic models to detect students' knowledge mastery in mathematics and language testing. However, few studies focus on cognitive diagnostic assessment in K-12 science…

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…

A prescriptive model of problem-solving performance is described. The aim of the model is to specify explicitly how problems should be described initially in such a form as to facilitate their subsequent solution. According to the model, the process of initial problem description can be decomposed into two successive stages. The first uses general…

This study examined a proposed procedure for constructing theoretical descriptions of mechanics problems, in particular, to determine if the procedure led to explicit and correct descriptions of the motion and interaction of systems and if the resulting theoretical descriptions facilitated generation of correct constraint equations and, hence,…

Asserts that college students lack understanding of the concept of function. Based on an epistemological theory, offers an instructional treatment using computers that presents a process concept of function and results in substantial improvements in student understanding for many students. (29 references) (MDH)

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…

Theory and research regarding four levels of concept attainment and three uses of concepts as specified by the conceptual learning and development (CLD) model are described. Assessment batteries were developed to assess each child's level of concept attainment and also the related use of the concepts equilateral triangle, cutting tool, and noun.…

The Model of Conceptual Learning and Development (CLD) is an analytical, descriptive model. It defines four levels of concept attainment and the possible uses and extensions of attained concepts, specifies the cognitive operations involved in learning concepts at each of the four levels, and postulates internal and external conditions of learning…

The Model of Conceptual Learning and Development (CLD) is an analytical, descriptive model. It defines four levels of concept attainment and the possible uses and extensions of attained concepts, specifies the cognitive operations involved in learning concepts at each of the four levels, and postulates internal and external conditions of learning…

The Model of Conceptual Learning and Development (CLD) is an analytical, descriptive model. It defines four levels of concept attainment and the possible uses and extensions of attained concepts, specifies the cognitive operations involved in learning concepts at each of the four levels, and postulates internal and external conditions of learning…

The Model of Conceptual Learning and Development (CLD) is an analytical, descriptive model. It defines four levels of concept attainment and the possible uses and extensions of attained concepts, specifies the cognitive operations involved in learning concepts at each of the four levels, and postulates internal and external conditions of learning…