The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…

Bringing together the research of leading international scholars in the field of digital learning, "Designing Effective Digital Learning Environments" discusses cutting-edge advancements in digital technology and presents an evidence-informed summary of best practices for effective design principles and implementation within educational…

Inclusive education remains a significant challenge in today's educational landscape, as K-12 classrooms and higher education institutions struggle to meet the diverse needs of all students. To address this pressing issue, "Developing Inclusive Environments in Education: Global Practices and Curricula," led by Kiyoji Koreeda, offers…

The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore mathematical problem-solving across many fields: mathematics…

Modern technology has enhanced many aspects of life, including classroom education. By offering virtual learning experiences, educational systems can become more efficient and effective at teaching the student population. The "Handbook of Research on Collaborative Teaching Practice in Virtual Learning Environments" highlights program…

This paper proposes a taxonomy of the pedagogical opportunities that are offered by mathematics analysis software such as computer algebra systems, graphics calculators, dynamic geometry or statistical packages. Mathematics analysis software is software for purposes such as calculating, drawing graphs and making accurate diagrams. However, its…

Describes the van Hiele levels of reasoning in geometry according to responses to clinical interview tasks concerning triangles and quadrilaterals. Subjects were 13 students from grades 1 through 12 plus a university mathematics major. Students' behavior on tasks was consistent with the van Hiele original general description of the levels.…

This article presents a case study in which researcher-practitioner collaboration took place to promote effective use of technology in an urban elementary school mathematics classroom. Data were primarily gathered through classroom observations and interviews. The aim of this study was twofold. First, to increase our understanding of the effects…

Previous work has identified four areas of difficulty that students seem to have with the topic of similarity: (1) understanding the definition of similarity; (2) proportional reasoning; (3) dimensional growth relationships; and (4) correspondences in right triangle similarity. This paper reports the results of an investigation into high school…

Describes the solution to a geometric problem by two ninth-grade mathematicians using The Geometer's Sketchpad computer software program. The problem was to divide any line segment into a regular partition of any number of parts, a variation on a problem by Euclid. The solution yielded two constructions, one a GLaD construction and the other using…

It has been suggested that males perform better than females in mathematics after ninth grade because more males than females enroll in advanced mathematics courses in high school. However, factors other than enrollment may be involved. Therefore, this study investigated whether the performance of males (B=500) and females (N=500) was different in…

Provided is an analysis of Turtle Geometry using van Hiele levels of development and understanding. The author also relates a language use framework, suggested by the work of Fry (1982), to the language activities of Turtle Geometry. Research supporting the analysis is discussed. (RH)

This volume contains the full text of 2 plenary papers and 26 research reports. In addition, brief, usually one-page, reports are provided for 6 discussion groups, 10 technology focus groups, 7 symposiums, 7 oral presentations, and 17 position sessions. The two full plenary reports are: (1) "Problems of Reification: Representations and…

A questionnaire with 70 closed and 10 open questions was administered to 230 students enrolled in grades 9 through 12, the majority of whom were enrolled in Math 10 geometry courses. Aspects of the questionnaire dealt with: (1) attributions of success or failure; (2) students' comparative perceptions of mathematics, English, and social studies;…

Discusses the spatial aspects of Greeno's model of conceptual domains and applies the theory to geometry learning. Examines the relationship between mathematical and spatial thinking in light of Greeno's environmental/spatial view of learning. (Contains 16 references.) (MDH)