Mathematical games are widely used in the primary classroom; however, not all games are equally valuable. How might teachers decide which specific games to introduce? The authors present five principles of educationally-rich games to help teachers address this issue. In so doing, they provide teachers with a usable framework to stimulate…

Skilled collaborative leaders are in high demand in schools, school systems, and districts worldwide. The success of schools as learning organizations hinges on how well people can work together as they seek to build collective capacity and problem solve to improve student outcomes. Collaborative learning has now emerged as the vital strategy for…

The article examines how a high school teacher designed an honors precalculus blended-learning class in North Carolina. By making videos of precalculus lectures where she had students watch during their days off from the class, the teacher was able to have her students work on problem solving and inquiry-based activities in groups when in-class.…

Together with Teach to Lead, a project guided by teacher leaders at the U.S. Department of Education and ASCD, we took a look at the first-ever family engagement summit, which provided a structured model for actively engaging families alongside educators, administrators, and community partners. This report highlights the voices of summit…

To gain insight into complex sustainability problems and acknowledge complexity is essential and can be achieved by creating an overview of the entire system, including interaction between variables. Therefore, systems thinking is recognized as a vital cognitive skill required to grasp complex global problems. Nevertheless, the implementation of…

This article reports on a project that used a game-creation tool to introduce middle-school students ages 10 to 13 to problem-solving strategies similar to those in computer science through the lens of studio-based design arts. Drawing on historic paradigms in design pedagogy and contemporary educational approaches in the digital arts to teach…

Today's engineers, designers, and technologists are often thrust into the role of problem solver, from the initial design phase of a product or process all the way to final development. Many engineers in manufacturing environments are tasked with solving problems and continuously improving processes to enhance company profitability, efficiency,…

When dividing one fraction by a second fraction, invert, that is, flip the second fraction, then multiply it by the first fraction. To multiply fractions, simply multiply across the denominators, and multiply across the numerators to get the resultant fraction. So by inverting the division of fractions it is turned into an easy multiplication of…

The desire to persuade students to avoid strictly memorizing formulas is a recurring theme throughout discussions of curriculum and problem solving. In combinatorics, a branch of discrete mathematics, problems can be easy to write--identify a few categories, add a few restrictions, specify an outcome--yet extremely challenging to solve. A lesson…

When a second-grade class struggled to make sense of the algorithms for multidigit addition and subtraction, attitude and morale were down, and student discourse was at an all-time low. When daily mathematics class started, the teacher was hearing an overall class moan. The instructed needed to turn it around, to find a way to help excite and…

Although most tasks that STEM professionals engage in--like identifying problems, making models, and testing those models--involve inquiry, many STEM classes still rely on direct instruction. Stephan argues that even as new resources for active learning are being developed for STEM instruction, many teachers aren't using these resources and tasks…

Recognizing and using mathematical structure are key components of mathematical reasoning. The authors believe that one productive way to support students' use of structure is by identifying opportunities to address structure in the context of what teachers are already doing, rather than developing additional tasks or new curriculum materials. The…

Design involves solving complex, ill-structured problems. Design tasks are consequently, appropriate contexts for children to exercise higher-order thinking and problem-solving skills. Although creating engaging and authentic design contexts for young children is difficult within the confines of traditional schooling, recently, game-design has…

You read in the paper this morning that people who take multivitamins have fewer heart attacks and are less likely to get cancer than people who don't. Does this information make you more likely to want to take multivitamins? To truly prepare students for life, schools need to teach them the critical thinking skills they need to answer questions…

Teaching leadership skills is an important goal for many schools, both within the curriculum and beyond it. The traditional definition of a leader has been based on a hierarchy, with levels, a chain of command, and a "top dog." Yet other definitions exist, and for girls and women a redefined view incorporates an alternative concept of…