Empirical arguments rely on examples without necessarily addressing all cases. Students should be skeptical of empirical evidence and should seek more secure arguments for generalizations, such as those that explain why a generalization is true for all cases. Generalizing on the basis of patterns in data is an important mathematical practice;…

When evaluators plan site-randomized experiments, they must conduct the appropriate statistical power analyses. These analyses are most likely to be valid when they are based on data from the jurisdictions in which the studies are to be conducted. In this method note, we provide software code, in the form of a SAS macro, for producing statistical…

Each summer between 1922 and 1938, up to 500 elementary school teachers from across Britain, and some from overseas, joined together in London for a two-week residential vacation course. Organised by Evans' Brothers Publishers and patronised by leading educationists, politicians and policy-makers, the City of London Vacation Course came to be…

In recent years, many researchers have been engaged in the development of educational computer games; however, previous studies have indicated that, without supportive models that take individual students' learning needs or difficulties into consideration, students might only show temporary interest during the learning process, and their learning…

Differentiated instruction is commonly believed to be critical to improving the quality and efficiency of teachers' instructional repertoires (Fischer & Rose, 2001; Tomlinson, 2004). Tomlinson (2000) describes differentiation in four domains: content, process, product, and learning environment. Content differentiation involves varying…

An oil spill occurs somewhere in the world almost every day of the year, and the consequences can be devastating. In this month's column, students explore the effects of oil spills on plants, animals, and the environment and investigate oil spill clean-up methods through a simulated oil spill. The activities described in this article give students…

In Hamlet, Shakespeare invites readers to ponder a famous philosophical question: To be or not to be? That is the question. In this issue, two trade books invite students to explore the question: To sink or not to sink? That is the experiment. Though both books are targeted for younger children, teachers can use these books with elementary…

The potential impact of implicit learning on education has been repeatedly stressed, though little research has examined this connection directly. The current paper describes two experiments that, inspired by artificial grammar learning experiments, examine the utility of implicit learning as a method for teaching atomic bonding rules to 11-12…

Two experiments explored whether children's correct answers to counter factual and future hypothetical questions were based on an understanding of possibilities. Children played a game in which a toy mouse could run down either 1 of 2 slides. Children found it difficult to mark physically both possible outcomes, compared to reporting a single…

The "Robot Roadshow Program" is designed to increase the interest of elementary school children in technical disciplines, specifically math and science. The program focuses on children from schools categorized as rural or underserved, which often have limited access to advanced technical resources. We developed the program using robots…

This article discusses some important aspects of a three-year educational project (1997-2000) that took place in an Athenian primary school where a high percentage (60%) of pupils did not have Greek as their mother tongue. The principal objective of the project was to create, through a variety of approaches, conditions that would allow the…