Place value is one of the 'big ideas' in number and plays a critical role in helping students develop their number sense, problem solving and computation skills. Yet, the elegant simplicity of our place value system belies the abstract nature of the construct. This paper presents data from 606 Year 3-6 students (ages 8-12) from two metropolitan…

Educational content labeled with proper knowledge components (KCs) are particularly useful to teachers or content organizers. However, manually labeling educational content is labor intensive and error-prone. To address this challenge, prior research proposed machine learning based solutions to auto-label educational content with limited success.…

Knowledge space theory (KST) is a mathematical framework for modeling and assessing student knowledge. While KST has successfully served as the foundation of several learning systems, recent advancements in machine learning provide an opportunity to improve on purely KST-based approaches to assessing student knowledge. As such, in this work we…

Based on extensive literature review, this study reports the result of a meta analysis of learning outcome studies and presents an integrated typology of content types and learning outcomes. Examining the ERIC database for learning studies conducted from 1992 until 2006 shows that most empirical studies have assessed the learning outcome at lower…

The increasing trend toward the formulation of student learnings in goal-based rather than textbook-based organizations, and the steadily growing concern for openness and flexibility in education have created a pressing need for a comprehensive, validated system for classification of knowledge, process, and value student learnings. Such a system…

The purpose of this paper is to review literature on analogical reasoning, to work out the implications of Polya's model of analogical problem solving, and to propose an alternative model of instructional design based on the use of analogical reasoning. Justification of the model is based on research on the nature of analogical thought and an…

Methods of optimizing instruction through the use of course knowledge portrayal methods were studied, based on a series of experiments conducted over 6 years. Sixteen university courses in the sciences, social sciences, and humanities were investigated through the application of cognitive theory to instruction. Attention was first focused on…

The concept of physical and chemical change is far from being the clearest and most self-explanatory concept in the world. If a number of chemists are asked to define physical and chemical change, there may well appear to be a fair degree of uniformity in their answers, until a few examples are suggested. When chemists are asked to place a variety…

Effects of task demands, age, and skill level on memory and metamemory performance were examined for 62 average and 66 low-achieving learning-disabled children. Memory improved with age and skill level, and strategic metamemory revealed age and skill-level differences, but taxonomic metamemory revealed age differences in the average group only.…

The methodology of interpretation of qualitative data was explored using a grounded theory approach to the synthesis of data, examining the construction of categories in particular. The focus is on ways of organizing data and attaching meaning, as research problems embedded in cultural context are explored. A qualitative research training task…

Experience with a number of teachers has shown that when they became aware of the uses of the categorizing processes, their teaching became more focused, they took account of student prior experience to a greater extent, and they allowed more time for students to practice the language needed to complete a task. A study was conducted to determine…

This study investigated the role of knowledge base organization in elementary school students' memory performance. In a preliminary study, students in grades 2, 6, and 10 rated words from three semantic categories for their category representativeness. Results disclosed age-related changes in how children rate words for high and low typicality.…

A theoretical taxonomy of student outcomes based on the National Center for Higher Education Management Systems' (NCHEMS) structure was investigated using survey responses from 1,833 alumni of a comprehensive state university. The alumni spanned 45 class years and four major curricular types: applied science, business, engineering, and qualitative…

This study determined whether item forms ( rules for constructing items related to a domain or set of tasks) would enable naive item writers to generate multiple-choice items at three taxonomic levels--knowledge, comprehension, and application. Students wrote 120 multiple-choice items from 20 item forms, corresponding to educational objectives…

The present study attempts to expand current question categorization schemes to identify question types that discriminate good learners from their peers in collaborative problem-solving groups. The study also explores the effects of person and task variables on students' question-asking behaviors in an effort to identify those that facilitate…