The literature on student agency is missing the voice and perspectives of teachers. Although theoretical and empirical research aims to explore student agency by observing and documenting the structures and supports involved in fostering agency, the field knows little of what student agency means to teachers who currently teach and who have…

This work presents an educational innovation performed during the academic year 2018/2019, consisting in some escape room activities with the students of the Social Education and the Infant Education degrees from the University of Jaén. This kind of activity have maintained, for many years, certain popularity within the educational field,…

Children experience joy in well-designed mathematics classrooms. This article describes five research-based practices for bringing joy into PreK-Grade 2 math lessons.

This account of practice describes an online program started in 2022, which helps leaders at BNP Paribas to be more effective problem solvers and inclusive leaders by developing stronger questioning and listening skills. The goals of this program were aligned with action learning and could have been achieved with standard, coach-led action…

Over the past few years at Columbus State University, the learning support math faculty and director have focused on the importance of training academic coaches to effectively engage students in corequisite support math with key practices implemented in an emporium-based model for our corequisite support math labs. This model consists of…

Ariadne is a touch-based program for the learning of homotopies of paths, without the use of formalism, by building mental models. Using Ariadne, the user can construct points, paths by dragging points and homotopies by dragging paths as well as compute winding numbers of paths, all on a variety of surfaces, through touch gestures. Ariadne…

We present noncompetitive adsorption as "particles in a box with one sticky wall." We start with a general model that can be modeled as a simple ordinary differential equation (ODE). To verify the ODE students run a computer simulation. The ODE's solution imperfectly fits the simulation's data. This leads to the diffusion partial…

This paper sheds light on an intellectual dispute on the purpose of problem-based learning that took place in the 1970s between two major figures in the history of PBL: Howard S Barrows from McMaster University and Henk Schmidt from Maastricht University. Using historical evidence from archive materials, oral history accounts and contemporary…

The Corvette Problem is a nonroutine investigation, one that provides an authentic context to explore many interrelated calculus ideas. In our years of sharing this problem with students and colleagues, we have found additional topics from the calculus curriculum to have rich interpretations in this environment. The Corvette Problem contextualizes…

This article explores the concept of being an intrapreneur and a hybrid professional. An intrapreneur is a person who fills a need and starts programs, products, or services inside of a company or nonprofit as opposed to starting from nothing, which is what entrepreneurs do. A hybrid professional is someone who integrates multiple professional…

Heat and enthalpy are challenging topics for general chemistry students because they are conceptually complex and require avariety of quantitative problem-solving approaches. Expert chemists draw on conditional knowledge, deciding when and under what conditions a certain problem-solving approach should be used. Decision-based learning (DBL)…

An important aspect of bringing innovation to education is supporting children's own innovative thinking. Teachers are finding that escape room activities can provoke children's wonder and determination to pursue their curiosity, which builds a foundation for innovators of the future.

We present a synthesis of the Onto-semiotic Approach (OSA) theoretical system to mathematical knowledge and instruction, while highlighting the problems, principles and research methods that are addressed in this approach and considering the didactics of mathematics as a scientific and technological discipline. We suggest that Didactics should…

The act of explaining can help students to develop new understandings of mathematical ideas, construct rules for solving problems, become aware of misunderstandings or a lack of understanding and develop their mathematical communication. Their explanations can also offer opportunities for a teacher to understand more fully what the students are…

Challenging mathematics problems were posed as a substantial part of homework in an elective combinatorics course. The intent was to encourage undergraduate students' exploration as well as develop their technical writing skills. The bulk of students' grades on these problems rested on a three-page reflective write-up using a rubric on…