An interview with a sixth-grade student illustrates how her number sense and understanding of variability relate to her ability and proclivity to apply a frequentist (statistical) approach to probability tasks. A general suggestion for teaching about mathematics of uncertainty through the gradual strengthening of estimation, as per the historical…

This study investigates the extent to which pre-service elementary teachers (PETs) use their realworld knowledge to solve problems for which the result of the arithmetic operation is problematic, if one takes into consideration the reality of the context. A paper-and-pencil test was administered to 566 PETs enrolled in mathematics content courses.…

In high school geometry courses, students are often given a prepackaged statement that they are asked to prove. In these situations, the process of writing proofs is being abridged, if not misrepresented. To provide her students with a more authentic experience in writing a proof, the author provided them with a summative project for which they…

In problem-based learning (PBL), students working in collaborative groups learn by resolving complex, realistic problems under the guidance of faculty. There is some evidence of PBL effectiveness in medical school settings where it began, and there are numerous accounts of PBL implementation in various undergraduate contexts, replete with…

Incorporation of mathematics into biology curricula is critical to underscore for undergraduate students the relevance of mathematics to most fields of biology and the usefulness of developing quantitative process skills demanded in modern biology. At our institution, we have made significant changes to better integrate mathematics into the…

We show that in the grounded conducting sphere image problem, all the necessary information about the image charge can be found from a mirror equation and a magnification formula. Then, we propose a method to solve the image problem for an extended charge distribution near a grounded conducting sphere. (Contains 4 figures.)

The one-dimensional finite well is a textbook problem. We propose approximate approaches to obtain the energy levels of the well. The finite well is also encountered in semiconductor heterostructures where the carrier mass inside the well (m[subscript i]) is taken to be distinct from mass outside (m[subscript o]). A relevant parameter is the mass…

Though principals play an important role in setting the vision for a school, and moving their staffs toward that vision, it is increasingly apparent that teachers must take on active decision-making and problem-solving roles. By sharing these responsibilities, schools can tap into the expertise of those most in tune with teaching and learning, and…

This paper discusses a study of students learning core conceptual perspectives from recent scientific research on complexity using a hypermedia learning environment in which different types of scaffolding were provided. Three comparison groups used a hypermedia system with agent-based models and scaffolds for problem-based learning activities that…

Practitioner-members of the National Association of School Psychologists (N = 208) completed questionnaires regarding their ethics training, preparedness, the types of ethical transgressions and dilemmas encountered in the previous year, and the strategies used to solve problems. Respondents who received multilevel training in ethics (ethics…

Upon learning the outcome to a problem, people tend to believe that they knew it all along ("hindsight bias"). Here, we report the first study to trace the development of hindsight bias across the life span. One hundred ninety-four participants aged 3 to 95 years completed 3 tasks designed to measure visual and verbal hindsight bias. All age…

In this study it is aimed to describe and evaluate comparatively the reading literacy exam results, the finance of education and schools, and socio-cultural status of parents in Turkey and the top-five OECD countries, Finland, Korea, Canada, Australia, New Zealand respectively, in the light reports and publications by OECD regarding PISA 2003 and…

Improve students' ability to link knowledge with real life practice, through enhancing children or teenagers' ability to think critically by way of making observations, posing questions, drawing up hypotheses, planning and carrying out investigations, analysing data and therefore improve their decision making is an educational challenge. Learning…

Parson's programming puzzles are a family of code construction assignments where lines of code are given, and the task is to form the solution by sorting and possibly selecting the correct code lines. We introduce a novel family of Parson's puzzles where the lines of code need to be sorted in two dimensions. The vertical dimension is used to order…

This article introduces a unique team approach to planning and positive behavior support. The young person becomes a key participant in solving problems and setting goals for growth. The CLEAR Team Problem Solving model shifts the focus from deficits to strengths and solutions. The goal is to identify how a child's private logic and interpersonal…