Intrapreneurship competence, as one of the main twenty-first century skills, has moved into focus, as it enables benefits for both organizations and individuals. To foster associated competencies and enable tailor-made instruction, teachers need knowledge not only about what their students can do but also about which errors are typically made…

Measurement concepts such as volume and surface area provide rich contexts for real-world applications of number processes. Despite their importance, many students and prospective teachers show superficial understanding of measurement concepts. A lack of spatial reasoning and integration of geometric knowledge in problem solving situations may be…

Collisions are real-world situations from everyday life (such as car crashes, playing billiards, etc.) that can be described and understood by the principle of conservation of momentum. One might expect that learning from simple collisions might help students understand more complicated physical phenomena. However, from our teaching experiences we…

In learning from examples, students are often first provided with basic instructional explanations of new principles and concepts and second with examples thereof. In this sequence, it is important that learners self-explain by generating links between the basic instructional explanations' content and the examples. Therefore, it is well…

Psychophysiological responses have been studied as objective indicators for measuring a learner's cognitive load. Previous studies have correlated pupil dilation or fixation length with increased cognitive load. Our aims were to confirm whether these findings could be applied in a general learning context and to verify the additivity hypothesis of…

The article uses dynamic visualizations in Excel to examine a variety of ways in which students can attain a much greater depth of understanding of optimization problems in introductory calculus. The topics discussed include a variety of common optimization problems that appear in virtually every calculus textbook that can all be enhanced…

In this note, I present an 'easy-to-be-remembered' shortcut for promptly solving the ubiquitous integral [line integral] x[superscript n] e[superscript alpha x] dx for any integer n>0 using only the successive derivatives of x[superscript n]. Some interesting applications are indicated. The shortcut is so simple that it could well be included…

Biomimetic design is the process of creating innovative ideas inspired by nature. This approach adapts processes of natural organisms to solve design problems and guides design in interior architecture, similar to many other disciplines. This study aims to present the process of implementing the biomimetic approach to interior architectural design…

In this study, we propose that infant social cognition may 'bootstrap' the successive development of domain-general cognition in line with the cultural intelligence hypothesis. Using a longitudinal design, 6-month-old infants (N = 118) were assessed on two basic social cognitive tasks targeting the abilities to share attention with others and…

Background: Tinkering, an ad hoc approach to solving a problem, involves manipulating objects to characterize and build knowledge about a particular system in an exploratory way, often with the goal of getting some product/idea to produce desired behavior. Tinkering contrasts more deliberate activity toward understanding how a phenomenon works.…

This paper characterizes the engagement of two groups of students in a Precalculus course at a four-year public university. A set of "Multiple Solutions Activities" was designed for the course to expose groups of students to alternative solution methods, allowing instructors to explicitly negotiate productive norms to foster students'…

Collaborative networks that use continuous improvement principles and tools can accelerate and spread learning across sites and contexts. Districts face unprecedented challenges in meeting students' and families' needs in rapidly changing conditions. Collaborative networks can be powerful drivers of system improvement. Collaborating well is key to…

Collaborative problem solving (CPS) is considered a necessary skill for students and workers in the 21st century as the advent of technology requires more and more people to frequently work in teams. In the current study, we employed theoretically-grounded data mining techniques to identify four profiles of collaborative problem solvers…

Two common interest-enhancement approaches in mathematics curriculum design are illustrations and personalization of problems to students' interests. The objective of these experiments is to test a variety of illustrations and personalization approaches. In the illustrations experiment, students (n = 265) were randomly assigned to lessons with…

Purpose: This paper aims to deal with the skills for sustainable development in engineering courses. The main objective is to identify which competences should be developed in these courses to contribute to the resolution of conflicts related to sustainability, as well as the means used by universities for their development.…