Creativity and innovation are frequently mentioned as key 21st-century skills for career and life success. Indeed, recent research provides evidence that the jobs of the future will increasingly require the ability to bring creative solutions to complex problems. And creativity is often the spice of life, that little extra something that makes the…

The concept of intrinsic complexity explains why different problems of the same type, tackled by the same problem solver, can require different times to solve and yield solutions of different quality. This paper proposes a general four-step approach that can be used to establish a model for the intrinsic complexity of a problem class in terms of…

We present a method for finding partial fraction decompositions of rational functions with linear or quadratic factors in the denominators by means of repeated polynomial divisions. This method does not involve differentiation or solving linear equations for obtaining the unknown partial fraction coefficients, which is very suitable for either…

Building students' understanding of cardinality is fundamental for working with numbers and operations. Without these early mathematical foundations in place, students will fall behind. Consequently, it is imperative to build on students' strengths to address their weaknesses with the notion of cardinality.

As a programmer when solving a problem, a number of conscious and unconscious cognitive operations are being performed. Problem-solving is a gradual and cyclic activity; as the mind is adjusting the problem to its schemas formed by its previous experiences, the programmer gets closer and closer to understanding and defining the problem. The…

Calculus has frequently been called one the greatest intellectual achievements of humankind. As a key transitional course to college mathematics, it combines such elementary ideas as rate with new abstract ideas--such as infinity, instantaneous change, and limit--to formulate the derivative and the integral. Most calculus texts begin with the…

Attention to mathematical modeling has grown, but most practicing and future teachers have limited experience with mathematical modeling and how to integrate it into their practice. However, documents such as the Common Core and GAIME Report emphasize the importance of mathematical modeling in mathematics education. Engaging students in…

This guide is designed for practitioners, including teachers, lead instructors, and professional developers, who are ready to take up the challenge to change how numeracy is taught in adult education. If instructors shift their teaching to focus more on the use of numeracy skills, they might find that their students not only score better on formal…

Social connections are crucial for today's middle and high school students. We address this social need through a 3-H Social and Emotional Learning (SEL) Cycle. Through the Three Sisters Garden activity presented here, we teach secondary school students about biodiversity and sustainability as we integrate the arts into STEM (STEAM). Students…

This is the executive summary for the report "North Carolina Pre-K Pyramid Model Evaluation Study: Implementation and Outcomes Evaluation Study Final Results." The report is an assessment of a pilot implementation of the NC Preschool Pyramid Model (Pyramid Model), a social-emotional coaching program to support NC Pre-K teachers to engage…

Collaborative Problem Solving (CPS) skills are receiving increased attention in the current workforce and in lifelong learning. In learning and labor contexts, successful teamwork is however not always guaranteed, due to several reasons, such as an unequal level of individual participation. Training in CPS for all groups is therefore needed.…

No-code/low-code app development is transforming traditional information system development paradigms. This paper presents a pedagogical design and teaching method for no-code business app development. The contents of the teaching module include vital concepts of business app development and assignments for students. The teaching module can be…

This article discusses how middle and high school inner-city and rural students can increase their academic achievement and self-efficacy in STEM classes using The Digital Curriculum, a program that incorporates digital technology, software, and a design project. This curriculum, which integrates socially relevant content, gives students a chance…

Teacher professional learning occurs across various contexts. Previous studies on teacher learning and changes in practice have focused on either classroom contexts or learning communities outside of school, but have rarely investigated teacher learning across multiple contexts. Investigating teacher learning across the double contexts of…

This article seeks to provide researchers and practitioners in laboratory education, particularly those involved in the curriculum design and implementation of teaching laboratories at university level, with a conceptual framework and a working model for an integrated assessment of learning domains, by attending to a more holistic approach to…