This paper reports on the first part of a multiphase research project that seeks to identify and address the difficulties encountered by physics students when studying differential equations. Differential equations are used extensively by undergraduate physics students, particularly in the advanced modules of their degree. It is, therefore,…

Physics educators today face two major challenges: supporting the acquisition of a solid base of conceptual knowledge and reducing the persisting gender gap. In the present quasi-experimental study, we investigated the potential of physics instruction that is enriched with evidence-based cognitively activating methods, such as inventing with…

5th graders (n=527) were randomly assigned to self-explain worked examples (WE) or solve problems during a yearlong study. WE students learned more algebra skills when given algebra worked examples on an end-of-year transfer measure. Comparing attempts, conceptual, and mechanical correctness by condition, results demonstrated that the condition…

We describe a study on the conceptual difficulties faced by college students in understanding hydrodynamics of ideal fluids. This study was based on responses obtained in hundreds of written exams complemented with several oral interviews, which were held with first-year engineering and science university students. Their responses allowed us to…

Researchers propose that experiencing and manipulating physical principles through objects allows young children to formulate scientific intuitions that may serve as precursors to learning in STEM subjects. This may be especially true when children discover these physical principles through object affordances during play. The present study…

When dividing one fraction by a second fraction, invert, that is, flip the second fraction, then multiply it by the first fraction. To multiply fractions, simply multiply across the denominators, and multiply across the numerators to get the resultant fraction. So by inverting the division of fractions it is turned into an easy multiplication of…

Computational thinking (CT) parallels the core practices of science, technology, engineering, and mathematics (STEM) education and is believed to effectively support students' learning of science and math concepts. However, despite the synergies between CT and STEM education, integrating the two to support synergistic learning remains an important…

In the domain of "Operations & Algebraic Thinking," Common Core State Standards indicate that in kindergarten, first grade, and second grade, children should demonstrate and expand their ability to understand, represent, and solve problems using the operations of addition and subtraction, laying the foundation for operations using…

Reasoning about graphical representations representing dynamic data (e.g., distance changing over time), including interpreting, creating, changing, combining, and comparing graphs, can be considered a domain-specific operationalization of the general twenty-first century skills of creative, critical thinking and solving problems. This paper…

The present study investigates how the different modes of game-design triggers learning outcomes, focusing on peer learning and intergroup competition. A problem-solving science game was developed to help secondary students to learn about the motion of objects. Participants (N = 110) from an urban middle school were randomly assigned to four…

This paper examines whether using "From Here to There!" ("FH2T:E"), a dynamic game-based mathematics learning technology relates to improved early algebraic understanding. We use student log files within FH2T to explore the possible benefits of student behaviors and gamification on learning gains. Using in app measures of…

This study examined what factors might have a positive impact on students' learning outcomes in mathematical understanding and computational thinking skills. Specifically, whether the proposed instructional design combining computational perspectives and an embodied approach in mathematics learning improves (a) mathematics learning, (b)…

Problem-solving is regarded as a major component of mathematical performance, and well-designed problem-solving-based learning environments have the potential to assist students in developing a meaningful understanding of mathematical concepts and procedures. In this respect, given its various features, dynamic mathematics software has been…

The article discusses the integration of cartoons into a finite mathematics college course. However, cartoon integration is appropriate for any educational level STEM course. Students and the author used an online comic strip creator, MakeBeliefsComix.com, to create cartoons that connected concepts to the real world and history. Following Cho,…

Problem solving is lauded as beneficial, but students do not all learn well by solving problems. Using the resources framework, Tuminaro J., and Redish E. F., (2007), Elements of a cognitive model of physics problem solving: Epistemic games, "Physical Review Special Topics-Physics Education Research," 3(2), 020101 suggested that, for…