The problem-based learning model via cloud technology (PBL model via cloud technology) is a research tool fabricated with the concepts of problem-based learning management, in which students are stimulated and enabled to foresee the problems that will arise. Also, in this learning style, teachers will define the problem situations and encourage…

Examining the still underexplored elements in educational theorist Paulo Freire's work, this essay begins from his claim that problem-posing pedagogy works as a "kind of psychoanalysis." Situating Freire between the critical philosophical and psychoanalytic traditions, Alex Armonda offers a new reading of the problem-posing dialectic,…

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…

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…

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,…

Building proficiency with fraction arithmetic poses a consistent challenge for students with learning difficulties or disabilities in mathematics. This article illustrates how teachers can use the number line model to support struggling learners in making sense of fraction arithmetic. Number lines are a powerful tool that can be used to help…

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…

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…

This case study was undertaken to characterise the interventions made by a kindergarten teacher during a multiplicative structure problem-solving lesson. The study findings show that when she realised the children were having difficulty, she provided assistance to enable them to find the right answer. When the children gave an incorrect response,…