Innovations in Science, Technology, Engineering, and Mathematics (STEM) are a cornerstone of the United States' economic prosperity, yet national and international assessments paint a poor picture of students' STEM competencies (reference 1; reference 2). These data have led to transformative approaches to improve STEM education including…

In this response to Sternberg's (2017) feature article in this special issue, we identify and define a kind of closed-minded, dogmatic, self-serving thinking that is nowadays quite prevalent around the world but counterproductive in solving many social problems. We argue that overcoming such a mindset takes wisdom and creativity. We present some…

This article begins by describing a class scenario in which a teacher gives her students the L problem (Watanabe 2008), which involves finding the area of a composite figure. Her students inappropriately extend the area formula for rectangles (A = L x W) to composite figures by multiplying all given dimensions. After class, the teacher concluded…

Between two popular teaching methods (i.e., balance method vs. inverse method) for equation solving, the main difference occurs at the operational line (e.g., +2 on both sides vs. -2 becomes +2), whereby it alters the state of the equation and yet maintains its equality. Element interactivity occurs on both sides of the equation in the balance…

Understanding how struggling students approach math is vital to designing effective math lessons. Many low achieving students rely on a weak knowledge of procedures and attempt calculations without adequate consideration of the problem. We investigated how enabling or preventing premature calculations affected learning math. Students were…

In this article we present our arguments in favor of a teaching of mathematics by means of problematization and investigation, one that includes in the classroom multiple ways and meanings for the students to read the world around them. In this respect, we propose a teaching-learning process of mathematics grounded on the relationships between…

Open-ended design problems have become an important component in our educational landscape (Grubbs and Strimel in J STEM Teach Educ 50(1):77-90, 2015; Jonassen et al. in J Eng Educ 95:139-151, 2006; National Research Council in Education for life and work: developing transferable knowledge and skills in the 21st Century, National Academies Press,…

In this study, we continue our efforts to address students' difficulties understanding organic chemistry, particularly in connecting structure to function and using the language of chemistry to explain how and why reactions occur. For the first time, we have characterized students' work and problem-solving strategies on familiar and unfamiliar…

Finding intersections, unions, and complements of sets is an essential issue in elementary mathematics. It builds the foundation for set theory, probability, logic, and other topics. It is commonly recognized that drawing a Venn diagram, which was first introduced by the British philosopher and mathematician John Venn in 1881, is a classic and…

This study assessed perceived learning outcomes in a team-lecture hybrid (TLH) instructional design in six public affairs and health administration courses implemented in 2011 and 2012. A cross sectional and prospective survey design was implemented using descriptive statistics, regression analysis and qualitative analysis. Results show students…

In this article, the author shares the Menu Writing project, designed to promote a meaningful, real-world connection to mathematics with the lives of students. The rationale for developing this project was two-fold: (1) to connect school mathematics to students' lived experiences to encourage and sustain students' interest, motivation, and…

The purpose of this article is to set out the design principles and architecture of a second language (L2) learning voice chatbot. Building on L2 acquisition theories and chatbot research, in this article, we report on a South Korean government-funded longitudinal project in which we designed and developed a chatbot called "Ellie".…

This study aims to investigate the effect of the problem-based learning method supported by experiments on the inquiry learning skills of secondary school students and their reflective thinking skills for problem-solving. This research uses a quasi-experimental design with a pretest-posttest control group. This study consists of 21 students in the…

The lack of sufficiently developed methodological basis before graduation adversely affects the mathematical competency of future experts that are required by the modern economy. The study aims to investigate the features of the development of a personalized model of teaching mathematics by means of interactive novels to improve the quality of…

The education system evolves and transforms towards interactive and immersive learning tools in this digital age. Augmented reality has also evolved as a ubiquitous, robust, and effective technology for providing innovative educational tools. In engineering education, many abstract concepts require technological intervention for conceptual…