There is growing interest in implementing reform-based lab courses in undergraduate physics that are student driven rather than instructor driven. In these courses, students develop and carry out experiments while simultaneously reasoning about their hypotheses, data collection procedures, collected evidence, and the relevant physics content.…

Computers and smart devices have become ubiquitous staples of our lives. Computers and computer-controlled devices are used in all industries from medicine to engineering, and textile production. One field where computers have inevitably spread into is education, and one pre-requisite of controlling computers, or increasing the level and…

This study aimed to analyze the abstraction process of twelve-grade students' continuity knowledge through the RBC+C abstraction model. With this aim, a semi-constructed interview was conducted with two twelfth-grade students and recorded with a video camera. Two different research problems were addressed in the interview, and the students were…

Our motivation for this article is for students to realize that opportunities for discovery are all around them. Discoveries that can still puzzle present day researchers. Here we explore an observation by a middle school student concerning the production of what appears to be water-like "ripples" produced in aluminum foil when placed…

Language of risk and causation pervades modern media sources. In response, statistical literacy is often framed as a critical means of understanding such discourse. At Michigan State University, several faculties have worked to create a new mathematics course, entitled Quantitative Literacy, to fulfill the University's general education…

Although algebraic reasoning has been considered as an important factor influencing students' mathematical performance, many students struggle to build concrete algebraic reasoning. Metacognitive training has been regarded as one effective method to develop students' algebraic reasoning; however, there are no published meta-analyses that include…

Analogical reasoning is a basic learning mechanism. Analogy in teaching science is a very popular pedagogical approach in many countries. The use of analogy is not recognized as one of the formal teaching learning strategies to facilitate students' science learning in Bangladesh. In secondary science teaching, teachers' unconscious and…

There is a wide recognition that reasoning abstractly, constructing arguments, or critiquing arguments should be an important educational goal in the mathematical experiences of all students in the standards for school mathematics. Seeing these standards as an essential element for developing deep mathematical understanding; however, call for a…

The notion of algorithm may be perceived in different levels of abstraction. In the lower levels it is an operational set of instructions. In higher levels it may be viewed as an object with properties, solving a problem with characteristics. Novices mostly relate to the lower levels. Yet, higher levels are very relevant for them as well. We…

In this work, we discuss the importance of underlying theoretical assumptions in research, focusing on the conclusions reached when analyzing data from a misconceptions constructivist (stable, unitary) perspective in contrast to a fine-grained constructivist (resources, knowledge-in-pieces) perspective. Both frameworks are rooted in the idea that…

This paper extends prior work establishing an operationalized framework of mathematical sense making (MSM) in physics. The framework differentiates between the object being understood (either physical or mathematical) and various tools (physical or mathematical) used to mediate the sense-making process. This results in four modes of MSM that can…

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 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…

Previous studies have found that students' concept-building approaches, identified a priori with a cognitive psychology laboratory task, are associated with student exam performances in chemistry classes. Abstraction learners (those who extract the principles underlying related examples) performed better than exemplar learners (those who focus on…

Abstraction is one of the most fundamental ideas in computer science (CS), and as such, according to Bruner, it should be taught spirally, starting as early as possible and revisited at every level of education. However, teaching CS abstraction to novices is a very challenging task, and CS educational research has often demonstrated students'…