In this study, we examined one experienced mathematician's class practices, with particular attention to cognitive model described in genetic decomposition. Our findings indicate that students only had limited opportunities to be familiar with the first three steps in genetic decomposition, which may potentially lead students to answer limit tasks…

Computational thinking--a set of mental and cognitive tools applied to problem solving--is a fundamental skill that all of us (and not just computer scientists) draw on. Educators have found that computational thinking enhances learning across a range of subjects and reinforces students' abilities in reading, writing, and arithmetic. This book…

Are you frustrated when students focus on "getting the right answer" without understanding why the physics works that way, or even why their own brains came to that conclusion? If so, this might be less about the student and more about the pedagogy--you might be stuck on the "One True Path," a way of thinking "that assumes…

One of the topics within the course of Essential Concepts in School Mathematics (ECSM) for prospective mathematics teachers concerns maximum and minimum problems. This type of problems requires mathematization, i.e., the activity of transforming a problem into a symbolic mathematics problem and of reorganizing within the mathematical system, in…

This study investigated 45 undergraduate students' mathematical problem posing based on four problem situations. This study was designed to better understand the kinds of problems they pose, and the kinds of mathematical ideas exhibited when problem posing. The findings of this study support that underprepared college students can pose…

Friedel-Crafts alkylation reactions using a curated set of alcohols provide students with the opportunity to combine the study of electrophilic aromatic substitution with carbocation rearrangements. In this experiment students may be presented with up to nine alcohols that yield six products, all synthesized under identical reaction conditions.…

This paper presents a novel figure for teaching multiple geometric proofs of the Pythagorean theorem. Because it consists only of congruent given right triangles, the figure can be constructed using a template of the given right triangle or, if available, a computer program. Within the figure, called a Pythagorean multi-proof square, there are…

Academic cheating is a pervasive problem in many universities globally. The present double-blind randomized controlled field experiment tested whether reminding university students about academic dishonesty sanction policies would reduce their cheating in an actual exam. Students were assigned to either a Sanction Reminder or a No Reminder…

Many students want to enroll in programming courses but fear the challenges ahead. They aspire to design quality systems or games after acquiring related skills but report concerns that programming logic is too difficult to learn because memorization of the syntax is required. Thus, they experience anxiety, are demotivated to learn, and,…

Climate change is a growing global crisis with short and long-term physical and human impacts. Although climate change is a global occurrence, the impacts of climate change are not felt equally among all locations and all groups of people. Climate justice education is a form of social justice education that invites students to consider how the…

The current examined the roles of cognitive strategies using Chi's framework in mobile learning. Three conditions (active, constructive, and interactive) were created for a college statistics I course where students were randomly assigned to each condition. The results indicate constructive and interactive support students' problem solving and…

As the demand for business intelligence (BI) professionals continues to grow, educators need to calibrate their instruction to accommodate the demand of practitioners for specific technical skills while also providing college students with a broader foundation that includes a general understanding of BI concepts and problem-solving skills that are…

Early detection of and relevant information on children's mathematical difficulties is important to initiate targeted teaching and intervention. This study investigated the extent to which strategy use in single-digit addition provides additional predictive information about 61 grade one children's (6-year-old) mathematical achievement 3 years…

The implementation of the Kurikulum Merdeka strongly recommends a model based on inquiry or investigations carried out actively by students. This study was conducted to analyze the tendencies of permanent teacher students in developing inquiry-based learning and its correlation with students' critical thinking skills. This survey research uses…

Development of scientific explanation abilities in students is an important aspect in science education. However, traditional learning methods such as textbooks and PowerPoint presentations are often less effective in improving skills due to lack of student interactivity and involvement in the learning process. This study aimed to analyze the…