This dissertation reports the research methodology and findings of three studies focused on mathematical modeling as a structured problem-solving process where the student translates relevant details from a situation, event, or phenomena in daily life into mathematical language with mathematically-defined structures and operations, which form the…

Despite recommendations to incorporate mathematical problem solving into the practice of primary teachers there is little evidence of the widespread acceptance of such advice by Early Years teachers. Understanding teachers' perceptions of the obstacles they encounter when incorporating mathematical problem solving into their teaching can shed…

This paper reports on an aspect of a research project that examined the use of apps in primary school mathematics programmes. It reports teacher and student perspectives on how they used a range of digital tools within the apps to solve problems. We consider the interplay between the affordances of the mobile technologies, including…

We investigated how pre-service teachers (PSTs) interpret their calculations in proportional tasks. A written questionnaire was administrated to 199 PSTs and an inductive content analysis approach used for data analysis. We found that one item that asked PSTs to interpret the meaning of their results had unusually low success; open coding on the…

This article presents a checklist of 10 evidence-based practices for educators to apply in mathematics instruction for students with learning disabilities. The checklist is "actionable," meaning the items on the checklist can be put into action immediately. It provides practical strategies teachers can adopt to fit their lessons…

Current teacher preparation programs have received scrutiny for failing to sufficiently support teachers in valuing and developing their knowledge of data literacy. The current study explores a collaborative approach to increasing pre-service teachers' experiences with data literacy by including under-utilized data experts: school psychologists.…

In the U.S., state adopted or developed college- and career-ready mathematics standards, including the Common Core State Standards for Mathematics, not only impact districts, students, and their teachers, but also university teacher preparation programs. In order to attain and sustain Common Core's vision of developing mathematically competent…

This research was informed by a constructivist approach to learning, with a focus on answering the research question: what skills can science teachers promote and encourage among students through designing and implementing problem-based learning in their classrooms? The research was carried out in a co-education secondary school in England and…

This descriptive study aimed to find out whether instructors practiced self-development activities, whether some factors hindered the practice of self-development activities, and to what extent the instructors implemented self-development activities in their classes to solve a problem. Additionally, it aimed to find out whether the instructors…

Engineers provide essential services to society, solving pressing challenges through technological inventiveness. Students new to engineering often cite the lure of creative problem solving as attracting them to the discipline. However, traditional engineering curricula typically focus on a narrow application of fundamentals for solving…

Despite historical emphasis on "specific" learning disabilities (SLDs), academic skills are strongly correlated across the curriculum. Thus, one can ask how specific SLDs truly are. To answer this question, we used bifactor models to identify variance shared across academic domains (academic "g"), as well as variance unique to…

Studies show that students and teachers frequently use the internet for learning and teaching, but that both lack the skills necessary to utilise it effectively. The authors designed an intervention to develop teachers' information search skills and improve the information problem-solving using the internet (IPS-I) tasks that they implement with…

We explored how preservice teachers in a middle school science methods course learned and applied computational thinking (CT) concepts and activities during a month-long intervention. In the intervention, preservice teachers learned about CT concepts through an hour-long lecture in their methods class, practiced a computing-integration activity…

There is a global demand for mathematics teachers to learn how to facilitate discussions where students make sense of mathematics via problem-solving and reasoning activities. Despite this call for meaningful discussions, they are rarely found in secondary instruction, especially in low-socioeconomic communities. A practitioner research approach…

In two earlier studies, we developed a new method to measure students' ability to transfer physics problem-solving skills to new contexts using a sequence of online learning modules, and implemented two interventions in the form of additional learning modules designed to improve transfer ability. The current paper introduces a new data analysis…