Background: Traditional math instruction that emphasizes procedures and rote memorization is common in math classes, particularly within the United States. Students may be able to perform steps and recite information, but flexible thinking in math is also an important ability. Lay theories assume that extensive experience in math would lead to…

Ill-structured problem solving is widely believed to promote learning in higher education but its multiplicity (i.e. multiple solutions and evaluation criteria) is often seen as a challenge to manage. This study shows that the multiplicity can be managed as well as leveraged to enhance learning effectiveness through online co-creation. Three…

An escape room can be a great way for students to apply and practice mathematics they have learned. This article describes the development and implementation of a mathematical escape room with important principles to incorporate in escape rooms to help students persevere in problem solving.

Around the world, there is a growing interest in integrated STEM (science, technology, engineering, mathematics) education. Many of the calls for integrated STEM emphasize the need for students to engage with complex STEM problems that cut across multiple fields. Yet there is a need to clarify the nature of those problems and differentiate STEM…

We analyzed the solution pathways and errors found in the written responses of 469 prospective teachers solving an equation containing fractions. The majority (332, or 70%) used an algebraic method; 141 of the 332 (42%) were correct, and 22% of the algebraic methods were abandoned before a solution was obtained. We identified the steps in the…

In case library learning, an instructional method that promotes case-based problem solving, learners often struggle with indexing cases. Poor case indexing may hamper retention and retrieval of cases, hindering the construction of mental libraries in learners. To address this issue, the authors developed two indexing prompt types,…

Igniting excitement for physics in our students is a goal of every instructor. In this paper, we discuss a unique example of the concept of density, a subject that is rarely viewed as intriguing by students. By combining a problem involving dinosaurs and an effective density, our students' interest is often captured through calculating an…

This descriptive, cross-sectional study aims to examine the mediator role of problem-solving skills in the relationship between communication skills and classroom management. The participants were 431 randomly-sampled pre-service teachers who were studying at a university in the central Anatolia region of Turkey. The study data were collected via…

Background: Interventions for offenders with intellectual disabilities (ID) have used cognitive variables as measures of treatment outcome. However, the relevance of cognitive variables to offending in people with intellectual disabilities is unclear. This review aimed to evaluate the evidence for a relationship between cognitive variables and…

Background: The present study examined the psychometric properties of the Dynamic Risk Outcome Scales (DROS ), an instrument developed to measure dynamic risk factors in individuals with mild intellectual disabilities or borderline intellectual functioning (MID -BIF ) and externalizing (including offending-like) behaviour problems. Method: The…

The purpose of this research is to classify the mathematical modelling problems produced by pre-service mathematics teachers in terms of the number of variables and to determine the mathematical modelling skills and mathematical skills used in solving the problems in each class. The current study is a qualitative research and the data was analyzed…

Intrapreneurship competence, as one of the main twenty-first century skills, has moved into focus, as it enables benefits for both organizations and individuals. To foster associated competencies and enable tailor-made instruction, teachers need knowledge not only about what their students can do but also about which errors are typically made…

Measurement concepts such as volume and surface area provide rich contexts for real-world applications of number processes. Despite their importance, many students and prospective teachers show superficial understanding of measurement concepts. A lack of spatial reasoning and integration of geometric knowledge in problem solving situations may be…

The relationship between local and international students has become one of the most important topics in the literature on the internationalization of education; however, these discussions have focused mainly on Western countries and on the perspectives of students who are from similar home countries. The views of students who choose to study…

Collisions are real-world situations from everyday life (such as car crashes, playing billiards, etc.) that can be described and understood by the principle of conservation of momentum. One might expect that learning from simple collisions might help students understand more complicated physical phenomena. However, from our teaching experiences we…