The present study examined preservice elementary teachers' performance on the problems of multiplication and division of fractions and compared their performances and analyzed the misconceptions. An instrument including 11 fraction multiplication and division tasks was given and the task involved three contexts: making own story problem,…

For a century and a half, the scene of mathematics competitions underwent a remarkable transformation from isolated and geographically scattered events to a full-scale and a full-featured vibrant global ecosystem comprising an impressive variety of competitions, school students, university students, teachers, mentors, scientists, schools,…

Critical thinking is a combination of complex cognitive skills. It is important for the successful acquisition of disciplinary skills in higher education and thus, it is a valuable competency for a new student. The complex nature of critical thinking leads to challenges for its assessment even in performance assessments such as CLA + International…

Several reforms in national and international curricula have been implemented to introduce inquiry-based activities to promote different science process skills. Science skills require high cognitive effort for students and, thus, they need supports to develop them in an inquiry process. Among these supports, video-worked examples demonstrate how…

In this case study, we investigate one teacher's implementation of DNR-based combinatorics curriculum in their high school discrete mathematics class. By examining the teacher's practices in whole-class discussions of two counting problems, we study how they advanced a variety of ways of thinking to support the development of a set-oriented way of…

Recursive reasoning is a powerful tool used extensively in problem solving. For us, recursive reasoning includes iteration, sequences, difference equations, discrete dynamical systems, pattern identification, and mathematical induction; all of these can represent how things change, but in discrete jumps. Given the school mathematics curriculum's…

This introduction presents Active Learning Methodology, surveying its history, main existing tools and supporting evidence, with an emphasis on mathematics and higher education, in particular engineering studies. This work is part of the DrIVE-Math project, developing innovative mathematical teaching strategies in engineering studies.

Preventive efforts are necessary to reduce the risk for problem gambling among adolescents, especially among more at-risk youth. However, only a small proportion of the preventive initiatives implemented in the field of adolescent problem gambling are based on robust theoretical models and have been evaluated in their efficacy. By referring to the…

Think-aloud interviews have been a valuable but underused tool in statistics education research. Think-alouds, in which students narrate their reasoning in real time while solving problems, differ in important ways from other types of cognitive interviews and related education research methods. Beyond the uses already found in the statistics…

Educational process mining is now a promising method to provide decision-support information for the teaching-learning process via finding useful educational guidance from the event logs recorded in the learning management system. Existing studies mainly focus on mining students' problem-solving skills or behavior patterns and intervening in…

The author presents a child-centered approach to teaching, developed through longtime connections with colleagues, which concentrates on the children and provides them time to make their own connections, to learn, to think, and to develop at their own pace with the support of their classmates. Two examples of how mathematics interlaced into…

Course withdrawals may lead to financial burdens for students, institutions, states, and the federal government. Understanding consequences of course withdrawal is key to understanding its implications and developing interventions to improve student success. Since no research has examined course withdrawal behaviors and their relations to student…

Through its impact on students in their lives in and beyond college, and recognizing the porous boundary between the classroom and the "real world," SoTL can offer insights into broader societal issues, offer evidence of activities that facilitate everyday learning, promote intrinsic motivation, better support people from…

This brief examines data from 19,934 students with self-reported educational debt in Trellis' Fall 2021 Student Financial Wellness Survey (SFWS), with special emphasis on their financial security and attitudes toward their loans, debt, and debt forgiveness. Nearly two-thirds of borrowers had accumulated more debt than expected, and 36 percent did…

This study evaluates the problems encountered in using out-of-school learning environments in preschool education. The descriptive phenomenological method was used to describe the experiences of preschool teachers. The working group comprises 20 preschool teachers in kindergartens affiliated with the Ministry of National Education in Konya. The…