Given the importance of mutual understanding for constructive conflict resolution, this study investigated the influence of information-sharing on siblings faced with conflicts of interests. Thirty-two sibling dyads (ages 4.5 to 8) participated. Siblings were asked to negotiate the division of five toys between themselves. Half of the pairs first…

Smart change is a simple yet powerful means to help administrators, faculty, staff, and stakeholders better understand the issues surrounding change initiatives at their institutions. A comparison of three approaches to change: routine, strategic, and transformative provides the foundation for improved planning by focusing on the targeted change…

In this article, we frame "productive learning" in a sociocultural perspective to show how it ties into a cluster of concepts on activity and transformation and illuminates the relation between learning processes and learning products. Based on two case studies, we argue that understanding learning as action entails developing the students'…

This article shows how to use six parameters describing the International Space Station's orbit to predict when and in what part of the sky observers can look for the station as it passes over their location. The method requires only a good background in trigonometry and some familiarity with elementary vector and matrix operations. An included…

Although the term "risk-taking" often has negative connotations, the reality is that the willingness to engage in some risky activities provides opportunities to learn new skills, try new behaviours and ultimately reach our potential. Challenge and risk, in particular during outdoor play, allows children to test the limits of their…

Mathematical software packages such as Polymath, MATLAB, and Mathcad are currently widely used for engineering problem solving. Applications of several of these packages to typical chemical engineering problems have been demonstrated by Cutlip, et al. The main characteristic of these packages is that they provide a "problem-solving environment…

This paper describes the use of quantities in video games by young people as part of a broader effort to understand thinking and learning across naturally occurring contexts of activity. Our approach to investigating the use of quantities in game play is ethnographic; we have followed eight children over a six-month period as they play their own…

This article allows students to apply their knowledge and experience of area and volume to find the volume of Norris Lake, a large reservoir lake in Tennessee. Students have the opportunity to demonstrate their skills in using maps and scales as well as to incorporate the use of technology in developing the solution. This project satisfied the…

This article illustrates the kinds of mathematical discussions that should occur with students in classrooms. The authors use a sample from professional development to show discussions that focus on the relationships of events within a problem that led to each representation, the connections between the ways participants chose to represent those…

Whole-class inquiry (WCI) assessments range from challenging, paper-and-pencil puzzles to lab-based problems that require students to apply their own gathered data to a new scenario; the latter might also require students to perform a lab with new parameters, or to answer a question using data from a previous lab. In this article, the authors…

Do typical arithmetic problems hinder learning of mathematical equivalence? Second and third graders (7-9 years old; N= 80) received lessons on mathematical equivalence either with or without typical arithmetic problems (e.g., 15 + 13 = 28 vs. 28 = 28, respectively). Children then solved math equivalence problems (e.g., 3 + 9 + 5 = 6 + __),…

Solving indeterminate algebraic equations in integers is a classic topic in the mathematics curricula across grades. At the undergraduate level, the study of solutions of non-linear equations of this kind can be motivated by the use of technology. This article shows how the unity of geometric contextualization and spreadsheet-based amplification…

Poor math performance is a major concern leading the current educational reform agenda. Many educational math critics are claiming a math crisis. Researchers and school personnel are trying to resolve this crisis. Some are looking at curriculum-based evaluation (CBE) as a process for solving this problem. CBE and curriculum-based measurement (CBM)…

How can current findings in neuroscience help educators identify particular cognitive strengths in students? In this commentary on Immordino-Yang's research regarding Nico and Brooke, I make 3 primary assertions: (a) the cognitive science community needs to develop an accessible language and mode of communicating applicable research to educators,…

The study sought to determine if teachers who are taught specific communication skills designed to challenge students' cognitive and metacognitive thinking during cooperative learning use more challenging and scaffolding behaviours to mediate students' learning than teachers who implement cooperative learning or small-group work who have not been…