Background/purpose: This study investigated the effectiveness of Problem-Based Worksheets (PBWs) in improving conceptual understanding of logic gates. PBWs were designed with key characteristics that integrate authentic problem-solving, active student engagement, and conceptual scaffolding to support critical thinking processes. A total of 32…

We will present a problem-solving method for the dynamics of a projectile that has two perpendicular acceleration vectors through rotation of the axes. This methodology of reparameterizing the two-dimensional system simplifies the speed optimization calculus.

Problem posing research in mathematics education has increased in the last decade. As a result, the intent of the present study is to examine and summarize the research that has been conducted. Specifically, we examined articles published from 2011-2020 that studied the impact of problem-posing instruction on students' problem-solving abilities.…

Discrete mathematics brings interesting problems for teaching and learning proof, with accessible objects such as integers (arithmetic), graphs (modeling, order) or polyominoes (geometry). Many problems that are still open can be explained to a large public. The objects can be manipulated by simple dynamic operations (removing, adding, 'gluing',…

While helping proofread a book during my doctoral studies, I came across a chapter that included (among other things) a discussion of a set of problems and tasks involving the building of towers using only two (or three) colours of cubes (Maher & Ahluwali, 2014). Later that year, as I started my tenure track position at the University of…

The current study utilized a qualitative phenomenological design to explore Graduate Teaching Assistants (GTAs)' experiences related to being victimized in the workplace. Through individual interviews, rich information was collected related to types of workplace bullying behaviors GTAs experienced, factors that encourage and discourage reporting…

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…

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…

The aim of this study is to showcase the use of incorporating problem-solving in a multifaceted, long-term investigation. New York Harbor and its estuaries are undergoing a major revitalization due to the efforts of the Curriculum and Community Enterprise for Environmental Restoration Project. Comprised of a network of local educational and…

This meta-analysis assessed the effect of word-problem-solving interventions on the word-problem-solving accuracy of students identified as having a learning disability (LD) or at risk for an LD in kindergarten to the sixth grade. Eighteen randomized control group designed studies met the inclusion criteria. Overall, word-problem-solving…

Mathematics word problems provide students with an opportunity to apply what they are learning in their mathematics classes to the world around them. However, students often neglect their knowledge of the world and provide nonsensical responses (e.g., they may answer that a school needs 12.5 buses for a field trip). This study examined if the…

The purpose of this study was to investigate what factors third-grade students took into consideration when posing problems for their peers and how these factors affected the mathematical complexities of the problems. Free and semi-structured problem-posing tasks were given to 27 third-grade students, and the problems they created for their peers…