This work provides a characterization of the learning of graph theory through the lens of the van Hiele model. For this purpose, we perform a theoretical analysis structured through the processes of reasoning that students activate when solving graph theory problems: recognition, use and formulation of definitions, classification, and proof. We…

As more and more science teachers in the United States are now expected to implement STEM education in their classrooms, it is important to understand how teachers conceptualise STEM education. This information can then be used to provide teachers with meaningful support as they move towards implementation of STEM education. Understanding that not…

In this paper, we report on the interim findings of a study that seeks to identify the characteristics of children's Critical Mathematical Thinking CMT. Characteristics of CMT were initially generated from a synthesis of relevant research literature and then validated using a case study methodology via trials in early childhood classrooms. This…

This research synthesizes studies that used a Digitalized Interactive Component (DIC) to assess K-12 student mathematics performance during Computer-based-Assessments (CBAs) in mathematics. A systematic search identified ten studies that categorized existing DICs according to the tools that provided language assistance to students and tools that…

This paper aims to revisit and clarify the term problem context and to develop a theoretical classification of the construct of levels of context use (LCU) to analyse how the context of a problem is used to formulate a problem in mathematical terms and to interpret the answer in relation to the context of a given problem. Two criteria and six…

The article provides a review of recent research on insight problem-solving performance. We discuss what insight problems are, the different types of classic and newer insight problems, and how we can classify them. We also explain some of the other aspects that affect insight performance, such as hints, analogs, training, thinking aloud, and…

As with any field, technology education and its close relatives have numerous strengths and weaknesses. One of these weaknesses has too long been overlooked, and it is the subject of this article. One might think of technology education as empowering students, divergently fostering their own creativity. An abundance of design briefs shows that…

Reviews the problems of classifying gaming techniques and suggests a heuristic approach as one solution. Definitions of simulation, models, role, and game and play are discussed to help develop a classification based on a technique called gaming simulation. (Author/LRW)

Discusses some aspects of the defining process in geometrical context in the reference frame of the theory of "figural concepts." Presents analysis of some examples taken from a teaching experiment at the sixth-grade level. Contains 30 references. (Author/ASK)

This paper reports on an empirical study of educators' perceptions of learning concepts, reviews the cognitive learning literature, and argues for an expanded view of conceptual knowledge and its role in education and training. The report begins with discussions of changing views of concept learning and declarative and procedural components of…

The purpose of this study is to contribute to an understanding of how errors could be employed in mathematics instruction so that the students use them constructively in support of their learning of mathematics. A teaching experiment was designed to create an ideal context in which the pedagogical approach to errors as springboards could be…

This article describes the two basic versions of the responsiveness-to-intervention (RTI) approach for identifying learning disabilities, the problem solving model and the standard-protocol approach. It reviews evidence on effectiveness and feasibility and concludes that more needs to be understood before RTI may be viewed as a valid…

This article describes the problem-solving model (PSM) used in the Minneapolis Public Schools to guide decisions regarding intervention in general education, special education referral, and evaluation for special education eligibility for high-incidence disabilities. Program evaluation indicates students received special education services earlier…

Many state and local entities are developing and using performance assessment programs. Because these initiatives are so diverse, it is very difficult to understand what they are doing, or to compare them in any meaningful way. Multiple-choice tests are contrasted with performance assessments, and preliminary classifications are suggested to…