Mathematical problem-solving is notoriously difficult to teach in a standard university mathematics classroom. The project on which this article reports aimed to investigate the effect of the writing of explanatory strategies in the context of mathematical problem solving on problem-solving behaviour. This article serves to describe the…

How do engineering students approach mathematical modelling problems and how can they learn to deal with such problems? In the context of a course in mathematical modelling and problem solving, and using a qualitative case study approach, we found that the students had little prior experience of mathematical modelling. They were also inexperienced…

This paper reports results from a case study focused on understanding student practices regarding production-oriented problem-solving with digital media. Thirty-seven students participated in an elective curriculum called, "Techno Savvy," a nine-week course focused on student exploration of global issues, and designed around Web 2.0…

A substantial amount of learning in schools takes place within social contexts and class-based group activities; however, social learning situations, communication and social cognition development for children with ASD can be a challenge for the children and their teachers. This paper explores what happens when children with ASD draw…

The current study investigated developmental trajectories of teacher-reported aggressive behavior and whether these trajectories are associated with social-cognitive development (i.e., aggressive problem-solving) across the first three elementary grades in a large sample from Switzerland (N = 1,146). Semiparametric group-based analyses were…

How do we Christian educators help children live their lives holistically? The purpose of this study is to address this question and to examine a method for children and Christian families in Korea to form Christian faith through daily rituals at home. Using participant observation and focus group interviews, I examined what the children and…

This study examined adolescent developmental experiences and participation in extracurricular activities. Providing youth with multiple channels to nurture their development and acknowledge their interests and strengths can play a significant role in their holistic growth. This is a descriptive study of a mixed-methods design (quantitative and…

A majority of studies on learning disabilities have focused on elementary grades. Although problems with learning disabilities are life-affecting only a few studies focus on deficits in adults. In this study adults with isolated mathematical disabilities (n = 101) and adults with combined mathematical and reading disabilities (n = 130) solved…

In an effort to increase the quality and quantity of service-learning assessment, this article provides a brief rationale for engaging in service-learning assessment and reviews a selection of available tools for doing so. The paper includes a matrix that lists cognitive outcomes, including critical thinking and problem solving, and the…

Portions of interviews with children who are engaged in a problem solving activity are presented. The problem used is an "eel question" taken from the work of Piaget. The verbal responses of children are seen as a part of effective teaching, and this method of assessment is encouraged. (MP)

The focus of this document is on students' understanding of symbolization processes in algebra, and specifically their understanding of semantically laden letters. In the first four sections, four inappropriate ways in which many college students use semantically laden letters are described. Evidence from clinical interview protocols demonstrate…

Strategies used by 150 children as they solved addition and subtraction verbal problems were studied over a period of one-and-a-half years. Number size and presence of manipulative materials were variables manipulated in individual interviews given at three separate intervals. Two addition and four subtraction tasks were used. Processes changed…

TORTIS (Toddler's Own Recursive Turtle Interpreter System) is a device which can be used to study or nurture the cognitive development of preschool children. The device consists of a "turtle" which the child can control by use of buttons on a control panel. The "turtle" can be made to move in prescribed directions, to take a…

Discussed is the type of evidence children find to be convincing using either empirical or deductive methods to justify propositions which they consider to be true. Included are the problem, research design, and the conclusion. (KR)

This investigation used a clinical interview technique to identify the difficulties of kindergarten children who are unable to develop models or representations of simple arithmetic story problems. It is hypothesized that effective human problem solvers first generate some type of "physical model" and use this model to create a…