The ability to relate physical concepts and phenomena to multiple mathematical representations--and to move fluidly between these representations--is a critical outcome expected of physics instruction. In upper-division quantum mechanics, students must work with multiple symbolic notations, including some that they have not previously encountered.…

This study aims to describe metacognitive interventions for students who experience suspension of sense-making when solving integration problems based on the characteristics of students' thinking. This research applied a qualitative research approach and provided essay tests followed by task-based interviews to classify students who experience…

Algebra is a gatekeeper. For the 6% of students with dyscalculia (i.e., mathematical learning disabilities), an inability to pass algebra may significantly limit academic and career opportunities. Unfortunately, prior research on dyscalculia has focused almost exclusively on elementary-aged students' deficits in speed and accuracy in arithmetic…

Many learners possess misconceptions regarding instructional content; toward this aim, educational practitioners employ teaching practices that support learners' efforts to restructure their existing knowledge structures--a process known as conceptual change. The Cognitive Reconstruction of Knowledge Model emphasizes the importance of conceptual…

Beyond students' ability to manipulate variables and solve problems, chemistry instructors are also interested in students developing a deeper conceptual understanding of chemistry, that is, engaging in the process of sensemaking. The concept of sensemaking transcends problem-solving and focuses on students recognizing a gap in knowledge and…

Understanding chemical models can be challenging for many university students studying chemistry. This study analysed students' understanding of molecular structures using the Lewis structure as a model, and examined what hinders their understanding. We conducted pre- and post-tests to analyse students' conceptions and changes in them. The…

Contemporary research suggests an urgent need for educators to improve the quality of STEM teaching and learning. We developed a semester-long model curriculum for STEM teaching and learning. The overarching goal of this study was to establish an authentic inquiry approach to advanced laboratory courses that is interdisciplinary, collaborative,…

In the summer of 2015, I conducted a Scholarship of Teaching and Learning (SoTL) experiment in my quantitative methods for political science class. The experiment tested if, during instruction, asking conceptual questions improved student learning more than asking recall questions. This article provides evidence that instruction with conceptual…

In this paper, the level of conceptual understanding of Newtonian mechanics among Afghan school and university students in Kabul, Afghanistan was investigated. This study employed a quantitative descriptive survey method where the Pashto version of the Force Concept Inventory (FCI) was given to a random sample of 216 students from two schools and…

Context-based learning (CBL) is advocated as beneficial to learners, but more needs to be understood about how different contexts used in courses influence student outcomes. Gilbert defined several models of context that appear to be used in chemistry. In one model that achieves many criteria of student meaning-making, the context is provided by…

Student misconceptions are an obstacle in science, technology, engineering, and mathematics courses and unless remediated may continue causing difficulties in learning as students advance in their studies. Writing-to-learn assignments (WTL) are characterized by their ability to promote in-depth conceptual learning by allowing students to explore…

Many college students are not progressing in the development of their critical thinking skills. Concept mapping is a technique for facilitating validation of one's critical thinking by graphically depicting the structure of complex concepts. Each of our three studies of concept mapping involved approximately 240 students enrolled in four sections…

Standardized assessment of content knowledge for STEM (Science, Technology, Engineering, Mathematics) topics is pervasive in both K-12 and postsecondary institutions. Yet, most instruments are developed with little to no validation for students with learning disability (LD), attention deficit hyperactivity disorder (ADHD), and autism spectrum…

We have developed a metabolic pathways visualization skill test (MPVST) to gain greater insight into our students' abilities to comprehend the visual information presented in metabolic pathways diagrams. The test is able to discriminate students' visualization ability with respect to six specific visualization skills that we identified as key to…

Optimization problems in first semester calculus have historically been a challenge for students. Focusing on the classic optimization problem of finding the minimum amount of fencing required to enclose a fixed area, we examine students' activity through the lens of Tall and Vinner's concept image and Carlson and Bloom's multidimensional…