What comes to mind when one thinks about building? One may envision constructions with blocks or engineering activities. Yet, constructing and building a number system requires the same sort of imagination, creativity, and perseverance as building a block city or engaging in engineering design. We know that children invent their own notation for…

Cognitive load theory's incorporation of evolutionary perspectives has generated several instructional designs based on movement, including the tracing effect, occurring when learners benefit from explicit instructions to trace out specific elements of lesson materials with the index finger. Historical descriptions of children's tracing behaviours…

The standby wooden blocks that are prevalent in most high-quality early childhood classrooms are missing from most primary and elementary grades. The goal for block play in early childhood is to support learning in mathematics, science, art, literacy and language arts, physical development, social studies, and social and emotional growth. This…

In the preferable educational future imagined here, the year 2030 has seen massive conceptual and structural change throughout systems of education. In the higher educational landscape envisioned only 10 years in the future, institutions of higher education have moved beyond the goals of valuing diversity, equity, and inclusion and beyond…

As educators and business people consider what children need to be successful in this rapidly changing society, creative and critical thinking, problem solving, communication, collaboration, and persistence are recognized as the most important skills for success in education and the workforce. Among these, creative thinking is referred to most…

Ever try to captivate students with real-world applications only to discover that they live in a very different world? Assigning an Extreme Word Problem activity to students alleviates this dilemma by placing the authorship of a problem squarely into the hands of learners. Rather than trying to be hip and finding word problems that resonate with…

Walter Humphries and Kathryn Evans outline the aims of the new Welsh curriculum and demonstrate how neatly the Thinking Actively in a Social Context (TASC) problem-solving approach dovetails with the aims of the new 2015 curriculum for Welsh schools.

When a student in a community-based writing program asked to write science fiction (SF), rather than a personal essay, he prompted the staff to expand the scope of the program's curriculum. This article describes how SF became another avenue for discussing community change. However, instead of just evaluating their worlds and writing about what…

Why encourage children to play board games? In the increasing disconnect of our digital lives, playing games provides a way to connect and relate with others on a human level. Strategy and role-playing games provide intellectual challenges and stretch creativity to keep the gifted mind engaged in solving problems. At the same time, the players…

COVID-19, the most severe global pandemic since the Spanish flu that followed World War I, threatens nearly every country, from global powers to developing nations. This threat presents a concurrent challenge for educational systems. With schools closed during the pandemic, students and teachers have had to stay at home worldwide. This shift has…

Originating from interviews with mathematics colleagues, written accounts of mathematicians engaging with mathematics, and Wes's reflections on his own mathematical work, we describe a process that we call mathematical foresight: the imagining of a resolution to a mathematical situation and a path to that resolution. In a sense, mathematical…

Transforming education or business starts with transforming one's mind, and that inner transformation starts with opening up to--indeed welcoming--the inevitable bursts of creativity available to everyone. Sidney J Parnes, one of the world's leading experts on creative problem-solving (CPSI), innovation and creativity, said, "I dream a dream,…

Oliver Herring, the creator of TASK, defines it as: "[a]n improvisational event with a simple structure and very few rules... TASK's open-ended, participatory structure creates almost unlimited opportunities for a group of people to interact with one another and their environment. TASK's flow and momentum depend on the tasks written and…

How can physics teachers help students develop consistent problem solving techniques for both simple and complicated physics problems, such as those that encompass objects undergoing multiple forces (mechanical or electrical) as individually portrayed in free-body diagrams and/or phenomenon involving multiple objects, such as Doppler effect…

Memory serves critical functions in everyday life but is also prone to error. This article examines adaptive constructive processes, which play a functional role in memory and cognition but can also produce distortions, errors, and illusions. The article describes several types of memory errors that are produced by adaptive constructive processes…