This paper compares sections on functions and linear functions from two Korean textbooks and an American standards-based textbook (University of Chicago School Mathematics Project [UCSMP] Algebra) to understand differences and similarities among these textbooks through horizontal and vertical analyses. We found that these textbooks provide…

Introduction: Scientific and technological areas include tuition based on highly visuo-spatial specialization and problem solving. Spatial skills and problem solving are embedded in a curriculum that promotes understanding of Science and technical subjects. These abilities are related to the development of executive functions (EFs). We aim to…

This article analyses aspects of the process of developing "functional" assessments of mathematics at the end of compulsory schooling in England. A protocol that was developed for scrutinising assessment items is presented. This protocol includes an indicator of the "authenticity" of each assessment item. The data are drawn…

This paper replicates and extends my earlier work on productive failure in mathematical problem solving (Kapur, doi:10.1007/s11251-009-9093-x, 2009). One hundred and nine, seventh-grade mathematics students taught by the same teacher from a Singapore school experienced one of three learning designs: (a) traditional lecture and practice (LP), (b)…

The purpose of this paper is to present the mechanism for effective communication when the mathematical objects of learning are equations and functions. The presentation is based on data collected while the same object of learning is presented in two classes, and it includes two teachers and 45 students. Among other things, the data consists of…

This study investigated the disciplinary knowledge and nature of expertise among political science experts studying American political science. A comparison group of students who had completed an introductory undergraduate course in American political science also participated in the study. Numerous research studies have found that civics and…

This study investigated the impact of different modes of scaffolding on students who are learning science through a web-based collaborative inquiry project in authentic classroom settings and explored the interaction effects with students' characteristics. The intervention study aimed to improve "domain-specific knowledge" and "metacognitive…

This study examined preservice teachers' problem-solving skills through the use of an online video case study. Eighty preservice teachers participated in the study with a three-level video presentation by a two-grade-level between-subjects factorial design. The study incorporates a content analysis framework to examine both the components and the…

Based on data released December 3, 2013, from the Programme for International Student Assessment (PISA), this Alliance for Excellent Education report reveals that the United States struggles to produce top performers in reading, math, and science at the rates of its international peers. These students, who the report calls the "deepest…

The 2005 Summit on High Schools led to redesigning schools and promoting 21st Century Skills. Consequently, this study assesses the implementation of supplemental online courses, offered through the Virtual High School (VHS), at one suburban New Jersey public high school. The following questions guided this research project: (1) How do the VHS…

Trinity College Dublin was proud to host, in April 2016, the Second International Conference on Telecollaboration in Higher Education, with the theme "New Directions in Telecollaborative Research and Practice." Over two and a half days, 150 participants offered 95 research presentations, posters, and "problem shared" sessions.…

The Program for International Student Assessment (PISA) is an international assessment that measures the performance of 15-year-olds in reading literacy, mathematics literacy, and science literacy. Coordinated by the Organization for Economic Cooperation and Development (OECD), an intergovernmental organization of 34 member countries, PISA was…

Similarities between Enaction Theory of Thinking and the Enrichment Triad Model lend theoretical validity to the Triad Model as a method to facilitate gifted students' thinking or problem solving. The relationships between mental models and Type I Enrichment, operators and Type II Enrichment, and heuristics and Type III enrichment are illustrated.…

The relationship between juvenile delinquency and learning disabilities has been studied in the context of socioeconomic status, temperament, school success, and peer relationships. To use a process-oriented approach in evaluating cognitive and learning profiles of delinquents and learning disabled adolescents, and to examine the possibility that…