Background/Context: In this study, we draw on evolving definitions of opportunity to learn (OTL) to conceptualize mathematics OTL has having two main components: structural OTL, defined by gatekeeping access to specific mathematics courses through the process of tracking, and instructional OTL, defined by the learning experiences of students in…

This paper presents a study of the opportunities presented to students that allow them to learn different types of mathematical reasoning during teachers' ordinary task solving presentations. The characteristics of algorithmic and creative reasoning that are seen in the presentations are analyzed. We find that most task solutions are based on…

This paper explores how the ideology of compulsory able-bodiness functions in special education. The apparatus of special education, this paper contends, applies a bureaucratic gaze to students from historically oppressed groups (e.g. students of color and working class students) and, finding them deficient, interpellates them as disabled. They…

Much research has been conducted to document and sometimes to provide proximate explanations (e.g., Confucianism vs. Western philosophy) for East-West cultural differences. The ultimate evolutionary mechanisms underlying these cross-cultural differences have not been addressed. We propose in this review that East-West cultural differences (e.g.,…

Problem solving allows students to use what they know to achieve a goal when no solution is apparent. Traditional educational models evolved from an earlier system, based on rote memorization and designed to produce employees for industry. The workforce of tomorrow must move beyond rote learning by both applying current knowledge and using…

In this article we recount our experiences of teaching photosynthesis in an integrated way to secondary school students and teachers, science undergraduates and postgraduates. Conceptual questions were posed to investigate learners' fundamental understanding of simple light-dependent and light-independent processes taught to most students at…

Jinfa Cai's study comparing Chinese and American sixth-grade students' mathematics performance found that American students did better on simple and complex problems than on computation. One reason might be Asian countries' stress on rote learning. Paul George's 1995 monograph "Japanese Schools: A Closer Look" found instruction…

Three learning modules are described and investigated as they reflect different students' conceptions of and approaches to learning. The Schoolwork Module (SWM) focuses on task performance and involves a passive, incremental, piecemeal, and rote memory method of learning, parallel to what might be implied by the Information Processing model of…

Technology in secondary schools has become of increasing interest as the power of the microchip has developed. For the students of Mathematics, computers and handheld graphic calculators need to be accessible to all. They are relevant to the needs of the students' courses and to support and develop their Mathematical learning (Smith, 1997).…