The power of 3D printing technology has grown exponentially in just the past few years--people around the world are using 3D printers to prepare food, create tailored clothing, build cars and homes, and advance the medical field in ways that never seemed possible. In classrooms across the nation, 3D printers have become increasingly common because…

Teachers' critical thinking skills are essential for fostering the development of the same skills in their students. To demonstrate how teachers' ability to examine solutions critically can be developed and supported, we analyse a classroom activity performed by a group of pre-service secondary school mathematics teachers (N = 37) who were asked:…

While there is disagreement among mathematics educators about some aspects of its meaning, mathematical modeling generally involves taking a real-world scenario and translating it into the mathematical world (Niss, Blum, and Galbraith 2007). The complete modeling process involves describing situations posed in problems with mathematical concepts,…

The paper presents and analyses a sequence of events that preceded an insight solution to a challenging problem in the context of numerical sequences. A three­week long solution process by a pair of ninth­-grade students is analysed by means of the theory of shifts of attention. The goal for this article is to reveal the potential of this theory…

Engineering-based modeling activities provide a rich source of meaningful situations that capitalize on and extend students' routine learning. By integrating such activities within existing curricula, students better appreciate how their school learning in mathematics and science applies to problems in the outside world. Furthermore, modeling…

This study explores how theoretical elements of design knowledge relate to notions of creativity found in literature. The results of this exploration are further applied to analyze four different cross-curricular design and technology projects in Norwegian primary and lower secondary school. All of the school projects examined were intended to be…

The teaching of problem-solving through the development of a problem-solving model was investigated in a Grade 4 mathematics classroom. Learners completed a questionnaire regarding their knowledge of mathematical problem-solving, their attitudes towards problem-solving, as well as their experiences in solving problems. Learners' responses revealed…

This study on the mental solving of systems of linear equations is part of a larger research program, aimed to gain a better understanding of the potential of mental mathematics activities with topics/objects other than numbers. Through outlining the study details and the activities engaged with, the paper reports on the variety of strategies…

Children's free play naturally enhances skills of observation, communication, experimentation, as well as development of rationale and construction skills. These domains, while synthesised, can lead to the development of certain process models regarding the way constructions could be designed, built and improved. The Design Process model…

Creative thinking is important to scientists and engineers as they frame their work and engage in the practices of their fields. Elementary-age children need opportunities to think about and develop an idea from its inception through to its conclusion to expand their thinking and engage in scientific processes. Generating and expanding on ideas…

Art has the capacity to engage exceptional learners, regardless of the nature of their exceptionalities. Students who experience difficulty with academic subjects may enjoy visual art activities with which they engage holistically to learn problem-solving skills and interact positively with their environment, including the social environment of…

This paper examines the learning by students who were participating in a project designed to promote persistence while working on mathematical tasks. We examined their learning of mathematics concepts and learning about the processes of engaging in mathematical tasks. There were substantial increases in students' knowledge of angles and also…

Despite an increase in the provision of effective school-based interventions in recent times, there is an absence of literature for teachers focusing on the translation of promising interventions into real-world practice. The aim of this research was to provide a social-ecological guide for teachers of the external validity of implementing the…

Collaborative group problem solving allows students to wrestle with different interpretations and solutions brought forth by group members, enhancing both critical thinking and problem solving skills. Since problem solving in groups is a common practice in agricultural education, instructors are often put in the position of organizing student…

In this article, associate professor Chrystal Dean describes how teachers can challenge their upper elementary students' understanding of area beyond a memorized formula. Herein she describes an activity that will show students the "why" behind using A = l × w to solve rectangular area problems. The activity will help deepen…