The current study explored the difficulties teachers encounter when teaching common fractions division, focusing on teachers' knowledge concerning this issue. Nine teachers who study towards a M.Ed. degree in mathematics education demonstrated the algorithms they apply in order to solve fractions division problems, described how they teach the…

This research paper aims to produce a mathematical module with a problem-solving approach to train student's reflective thinking. To find out how to develop modules, there are three criteria must be fulfilled, namely validity, practicality, and effectiveness. Development of module used four stages, namely the initial situation analysis, design…

This study aims to look at tenth-grade a mental retardation student in solving the problem of a division operation. The method used is Single Subject Research (SSR) with learning outcomes as variables that are measured and describe student learning activities in solving problems using Math GASING. The data collection technique is done by video…

Affect and mathematical competence are each multifaceted constructs. Accordingly, the studies in this Special Issue address multiple pathways between the two in young children. This commentary highlights the variability of these pathways and asks how affective variables are specifically related to core mathematical activities such as problem…

A promising method to support game-based learning is to facilitate learners' externalization of cognitive and metacognitive processes. Externalizing Problem Representation (EPR) refers to a cognitive behaviour in which a learner constructs her own representations overtly. The purpose of this study is to investigate whether learning supports…

In order to be prepared for future college or careers, 21st century students should have critical thinking in their arsenal of soft skills. Most teachers and schools feel that critical thinking skills are important to teach, but unfortunately they have a lack of understanding of what critical thinking is and what strategies are best utilized to…

Strategies for teaching NMR spectral interpretation in the undergraduate organic chemistry curriculum are often faculty-centered and can lead to student reliance on rote memorization and "guess and check" methods rather than critical-thinking skills for structure determination. This article describes a student-focused methodology for the…

Walter Humphries and Kathryn Evans outline the aims of the new Welsh curriculum and demonstrate how neatly the Thinking Actively in a Social Context (TASC) problem-solving approach dovetails with the aims of the new 2015 curriculum for Welsh schools.

The purpose of this study is to examine the impact of peer tutoring program as compared to classroom tutoring on problem solving and algorithm development skills of higher education students in Computer Sciences. Peer tutoring has emerged as one of the most effective mechanisms of enabling learning and improving academic performance of students at…

The case study approach is one form of problem-based learning (PBL) that results in deeper understanding of content, and it involves pushing students to think beyond the answers appropriate for class (Hmelo-Silver, 2004; Nilson, 2010, 2013). Case studies prompt students to consider the realistic implications of how they use course content in…

This research aimed at proposing an ubiquitous flipped classroom instructional model with learning process of scientific to enhance problem-solving skills for higher education (UFC-PS model). The UFC-PS model was developed based on the review of the literature, the expert's interview and evaluated by five experts. The research results were found…

The purpose of this research was to determine the effects of explicit instructions on children's divergent and creative thinking. Fifty-two children were assigned to one of four groups. Two of the groups were presented a problem with a model and instructions for solving the problem first and then presented problems with no instructions/model. The…

Students become attentive, curious, and passionate about learning when they can see its relevance to their lives and when they're empowered to use that learning to solve problems that matter. Regardless of the subject or grade level you teach, you can infuse your instruction with the meaning students crave by implementing design thinking. Design…

Students in first-year university courses often focus on mimicking application of taught procedures and fail to gain adequate conceptual understanding. One potential approach to support meaningful learning is Productive Failure (PF). In PF, the conventional instruction process is reversed so that learners attempt to solve challenging problems…

The Soil Nutrient Relationships course serves juniors and seniors with a major or minor in agronomy at the University of Nebraska-Lincoln. Pre-pandemic enrollment averaged 65 students. In 2021 and 2022, course enrollment was 42 and 55, respectively. The course was adjusted to a flipped design in 2017. Moving into 2021, the Soil Nutrient…