We describe two classes of sequences that give rise to accessible problems for undergraduate research. These problems may be understood with virtually no prerequisites and are well suited for computer-aided investigation. The first sequence is a variation of one introduced by Stephen Wolfram in connection with his study of cellular automata. The…

This paper briefly examines the literature on (a) problem-based learning (PBL), including constructivism and problem solving, and (b) learning in context, including mediation, embodiment, distribution, and situatedness. We use this literature, our previous research [Hill & Smith Journal of Technology Education 9(1), 29-41 (1998)], and some initial…

This paper provides a pragmatic view of efficient use of graphics calculators. Efficiency is described in terms of quick and easy calculation, as debated and evidenced in a Year 12 calculus class. Students' methods of calculation are analysed in terms of the algebraic understanding and technical skills that underpinned them. Patterns in students'…

This study investigated the impact of the TI-92 handheld Computer Algebra System (CAS) on student achievement in a discrete mathematics course. Specifically, the researchers examined the differences between a CAS section and a control section of discrete mathematics on students' in-class examinations. Additionally, they analysed student approaches…

This paper addresses doubts concerning the reliability of knowledge being created by double loop learning processes. Popper's ontological worlds are used to explore the philosophical basis of the way that individual experiences are turned into organisational knowledge, and such knowledge is used to generate organisational learning. The paper…

Problem solving as a skill is emphasized within the revised Japanese Course of Study for schools. This experimental study, conducted among Japanese high school students, evaluates an effort to develop student ability to identify reasons for "different" points of view, not just personally favored views. First, the ability of all students…

Gender disparity exists in many educational environments despite conscientious attempts to equalize opportunities and outcomes. Research studies indicate females are less likely to effectively engage in the use of technology for problem solving. However, in a two-year study of a Midwest elementary multi-age classroom, researchers studied…

This third part continues the exploration of how we can overcome the limitations of the present knowledge system. In preparation, two aspects of current engineering theory and practice are examined because they are paradigmatic: the concept that engineering is essentially problem-solving, which goes against our understanding of human skill…

This study tested a model of teacher interventions (TIs) conducted during cooperative learning to examine how they affected students' subsequent time on-task (TOT) and problem solving. TIs involved groups of ninth-grade students working on an algebra problem; videotaped lessons were transcribed and analyzed. Results showed that teachers initiated…

Explicit timing and interspersal interventions were investigated using a within-subjects design with 45 third-grade students. A control assignment consisted of subtraction of a two digit number from a two digit number (i.e., target problem) and served as a baseline. An explicit timing assignment consisted of similar problems as those for the…

Problem-based learning (PBL) works with a series of problems that form the syllabus for a course or the basis of a curriculum. Learning occurs through the definition of the problem and its attempted resolution. PBL is challenging but offers much potential for geography with its interdisciplinary character. The challenge to geography lecturers is…

Background: This study examined the effects of different approaches to teaching learners with mild intellectual disabilities to solve mathematical word problems. Method: Thirty Chinese students with mild intellectual disabilities from a special school in Hong Kong were taught using conventional instruction, worked example instruction, and…

This article argues that developing a team-based approach to teaching and learning provides the basis for building commitment and continuous professional development in teaching practice among staff in higher education. A team approach that is grounded in practice leads to open communication and opportunities for formal and informal professional…

This paper focuses on the role of evaluation in mathematics in 749 elementary school children. The macroevaluative skills and calibration scores of high versus low mathematical problem solvers were contrasted as measures of metacognition. No relevant calibration differences were found for gender. In addition, the performances of children with…

The aim of the research presented in this paper is to contribute to our knowledge about problem solving in mathematics. My purpose in this paper is to compare, from this point of view, two very different institutions in the French tertiary education system, with the intention to interpret the chronic inequality of performance in problem solving…