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…

We present a model for roleplaying (RP) for university students that is aimed at fostering the interactions of each learner with the teacher and coursemates, self- and peer-assessment, as well as an awareness and meaningful learning of mathematics. Specific features of our model are its focus on metacognition and individualized learning, based on…

The objective of this dissertation was to explore the paradoxical nature of Combinatorics as both a difficult and accessible domain in Mathematics, particularly for K-12 students. This paradox in Combinatorics' nature raised questions about how students interact with problems in this domain and the factors influencing their understanding and…

This article aims to analyze the process of the progressive mathematization of the concept of the function by secondary school students through the resolution of a free fall situation. A free-fall mathematical situation was designed and experimented using the Tracker software to obtain movement data. Worksheets and conversations were collected…

In this article, the role of digital feedback that was provided in an outdoor mathematics education setting is taken into consideration. Using the app MathCityMap (2020) in the context of a mathematics trail, the influence of positive and/or negative feedback is examined in relation to how it influences the processes of verification and…

The aim of this study was to develop students' chemical literacy by integrating dilemma stories into a Science, Technology, Engineering, Arts, and Mathematics (STEAM) project on petroleum. Chemical literacy can help students face future challenges by applying what they learn about chemistry subjects at school to solve problems in their daily…

The purpose of the study is to examine how Industry 4.0, and the digital environment, have together created a new situation for companies and universities in terms of soft skills for employability. While companies aim to introduce a new structure, universities try to align with these changes by developing new educational methods, curricula, and…

Background and Objective: Teacher assessment research suggests that teachers have good conceptual understanding of CT. However, to model CT-based problem-solving in their classrooms, teachers need to develop the ability to recognize when and how to apply CT skills. Does existing professional development (PD) equip teachers to know when and how to…

Background: Problem-solving as a vehicle to develop independent thinking skills is mostly underestimated and is often either overlooked or not given adequate attention within the existing South African mathematics curriculum. Consequently, numerous learners often display limited skills or lack skills to adequately crack Mathematics problems by…