This paper deals with a set of geometrical problems for mathematical problem-solving at different difficulty levels. All of these are presented as national flags and one has to investigate invariant area proportions when changing the locus of any corner of the flag. This dynamic element suggests the usage of dynamical geometry environments.…

Prior work on teachers' mathematical knowledge has contributed to our understanding of the important role of teachers' knowledge in teaching and learning. However, one aspect of teachers' mathematical knowledge has received little attention: "strategic competence for word problems." Adapting from one of the most comprehensive…

Scaffolding is one of the critical features in a problem-based learning environment to address challenges associated with problem solving. While transfer of responsibility is considered as an ultimate goal in scaffolding that is adaptive and contingent, it is rarely studied and practiced. Thus, the purpose of this study was to inform a deeper…

This study highlights the importance of metacognitive awareness of economics students and examines the relationship between Problem-Based Learning (PBL) and Metacognitive awareness among economics students. This research was conducted in the Faculty of Economics, Universitas Negeri Malang of Indonesia by employing economics students as the subject…

Supporting the development of skills associated with self-determination (e.g., goal setting and attainment, problem solving) and providing opportunities to practice those skills impacts valued school and postschool outcomes of students with complex communication needs. To address this need, the Self-Determined Learning Model of Instruction (SDLMI)…

National and state standards in the US have emphasized the importance of solving and posing word problems in students' mathematics learning for decades. Therefore, it is essential for prospective teachers (PTs) to have the mathematical knowledge necessary to teach these skills to their future students. Unfortunately, little research has…

The authors present mathematics problems related to the packaging of sporting goods which they used to motivate and engage their students in the USA. This article reports on a series of questions/problems that were explored in groups by the students in a college class designed for sophomores, as part of a program to prepare them to be teachers at…

Disruptive behavior problems develop along multiple causal pathways and are associated with a wide variety of co-occurring problems, including mood disorders. In usual care, effective treatment practices for youth disruptive behavior might differ from what the efficacy research suggests, given treatment setting and population demographic…

Teacher educators are charged with supporting adult learners as they prepare to collaborate with diverse families and colleagues. In this research, we examined how a cohort of teacher candidates (N = 29) developed over a semester in their understanding, dispositions, and knowledge of strategies for partnership through the "dilemmas"…

Whole number computations are a critical skill that serves as a foundation upon which higher-order concepts in mathematics are taught to children. To facilitate their instruction, educators often use multiple representations to support a child's cognition. Representations with physical manipulatives are widely studied through a graduated…

Offering secondary math educators an innovative holistic and process-orientated approach for implementing nonroutine problems into their curriculum, this book defines and establishes practical strategies to develop students' problem-solving skills. The text focuses on the process skills necessary to solve nonroutine problems in mathematics and…

Purpose: The purpose of the study is to determine how students perceive groupwork and identify patterns of less successful groups in online challenge-based learning. Design/methodology/approach: This study involved 29 university students working in nine teams in an online challenge-based course. The authors applied Volet's (2001) Student Appraisal…

We examined the pathway from grandparental childcare support at age 3 to child social and emotional outcomes at age 7 through maternal mental health and mother-child relationship at age 3 in a sample of n = 1495 biological mothers and their children from the UK's Millennium Cohort Study. Structural equation modelling showed that time spent in the…

Because deficits in executive functions (EFs) characterize most neurodevelopmental disorders, it is appropriate to question the value of EFs for understanding learning disabilities. Two types of studies--those testing whether EFs moderate treatment effects and those testing the direction of effects between EFs and academic skills--are presented to…

Quadratic modeling problems are commonplace in high school mathematics courses; they typically situate quadratic patterns of change and their corresponding parabolic graph within real-world contexts. Traditional approaches to this type of problem lend themselves to making connections across different representations (e.g., Garofalo and Trinter…