In this paper, we describe an experiment in using history to work on problem-solving and the relationship between arithmetic and algebra. The students involved attended the first year of the Italian upper secondary school (grade 9). The original sources we used are problems from Italian treatises on arithmetic and algebra that appeared in the…

A common task when problem solving in quantum mechanics, including in a spins-first curriculum, involves changing the basis of a given state. Our research in undergraduate quantum mechanics courses at three institutions explores student thinking about basis, basis expansion coefficients, and change of basis in the context of spin-½ systems. Our…

Positive creativity involves creative ideas and products that are beneficial to humanity. This paper discusses the importance of fostering positive and transformational creativity in PK-12 and college settings, and concrete classroom strategies for nurturing positive creativity through a service learning pedagogy. A brief history of service…

It is often necessary to enrich the teaching environment in order for students to learn optics in depth and to interpret the real optical situations with the information they have learned. In this study, a virtual teaching environment was developed using by Algodoo, a 2D simulation software. An eye model was created in order to explain the…

Developing students' skills in solving mathematical problems and supporting creative mathematical thinking have been important topics of Finnish National Core Curricula 2004 and 2014. To foster these skills, students should be provided with rich, meaningful problem-solving tasks already in primary school. Teachers have a crucial role in equipping…

This article shows results on the simulation of partial differential equations such as the heat equation, the Laplace equation and the wave equation in a course called mathematical methods at a university in Bogotá Colombia. In this course, the concept of partial differential equations and different solution methods were explained to them, both in…

Cognitively Guided Instruction (CGI) is a teacher PD program that has been found to have a potentially positive impact on student learning in mathematics through randomized controlled trials. Through a series of grant-funded projects led by FSU, approximately 2,000 Florida teachers have participated in CGI-based professional development in the…

This research paper focuses on the successful implementation of play-based learning (PBL) environments within the New Zealand mainstream primary school sector. In particular, the focus is on the role of Resource Teachers: Learning and Behaviour (RTLB) in supporting the implementation of PBL within the junior classes of Year 0 to Year 2. A review…

Prior to leaving middle school, students are expected to be able to solve linear equations with one unknown using multiple modes of representation, including pictorial models. Although solving these linear equations is important, many students do not have the conceptual understanding to solve these types of linear equations successfully. In this…

Schools in Florida used the multitiered system of support response to intervention framework to help students achieve the state and national standards but, in the national report card, 61% of the fourth-graders assessed in mathematics failed to achieve proficiency. Research indicated that the students lacked mathematical word problem-solving…

This study explores the technical and vocational education and training (TVET) teachers' pedagogical practices and how such practices can help the teachers' use of relevant guiding pedagogical principles in practice in Nigerian TVET system to facilitate quality learning. Employing a three-tiered ethnographic case study approach, we learned how 24…

The objective of this work was the theoretical modeling of a construct based on teaching practice about the perception that pupils have of difficulties in problem solving (PS) in experimental sciences, specifically physics, to predict pupil performance in PS. The research was carried out with an incidental sample of second year of secondary…

Failure has an important role to play in learning how to navigate highly uncertain organizational environments. But "failing fast" just for its own sake may in fact undermine learning if not set up or handled correctly. Using failure-based pedagogy, including generative failure, whole-person learning, and entrepreneurial thinking, an MBA…

The interaction between teachers and students is vital for promoting teaching quality. Online learning spaces have various features that can support teacher-student interaction in online learning contexts. In this study, a preliminary model was developed by analyzing the principles underlying the interaction between teachers and students and the…

Due to the pandemic conditions, hands-on courses in architectural education were conducted remotely and their presentation had to be reconsidered. Hands-on courses, by their nature, support learning and learner-instructor interaction in the classroom environment. It was necessary to develop innovative solutions to ensure this interaction in…