Elementary standards include multiplication of single-digit numbers and students advance to solve complex problems and demonstrate procedural fluency in algorithms. The ability to illustrate procedural fluency in algorithms is dependent on the development of understanding and reasoning in multiplication. Development of multiplicative reasoning…

The Self-Determined Learning Model of Instruction (SDLMI) is an evidence-based model of instruction implemented by a facilitator (e.g., general or special education teacher, family member, related service professional, transition professional) to enable students to learn to self-regulate problem solving in service to a goal. Students learn how to…

Despite significant scholarly attention, the literature on the existence and direction of gender differences in creativity has produced inconsistent findings. In the present paper, we argue that this lack of consensus may be attributable, at least in part, to gender-specific inconsistencies in the measurement of creative problem-solving. To…

The concept of intrinsic complexity explains why different problems of the same type, tackled by the same problem solver, can require different times to solve and yield solutions of different quality. This paper proposes a general four-step approach that can be used to establish a model for the intrinsic complexity of a problem class in terms of…

As a programmer when solving a problem, a number of conscious and unconscious cognitive operations are being performed. Problem-solving is a gradual and cyclic activity; as the mind is adjusting the problem to its schemas formed by its previous experiences, the programmer gets closer and closer to understanding and defining the problem. The…

This conceptual paper addresses the issue of value creation in the field of higher education and presents a new theoretical perspective by assigning the Service Dominant Logic (SD-logic) and developing a higher education value framework, consisting of ten "foundational premises" for a better understanding of higher education phenomena.…

Attention to mathematical modeling has grown, but most practicing and future teachers have limited experience with mathematical modeling and how to integrate it into their practice. However, documents such as the Common Core and GAIME Report emphasize the importance of mathematical modeling in mathematics education. Engaging students in…

Background: The theoretical understanding of firesetting behaviour has predominantly been developed with men in prisons or psychiatric hospitals without neurodevelopmental disabilities. Consequently, there is a lack of evidence regarding the validity of current theory when applied to adults with intellectual disabilities and/or autism. Method:…

The purpose of this systematic review is to reveal the research findings that suggest instructional practices to foster the creativity of students in mathematics. Although several studies have investigated the effects of various instructional practices influencing the mathematical creativity of students, little is known about how the findings of…

This study investigated pre-service secondary mathematics teachers' (PSMTs') anticipation and identification of students' thinking as they engaged in examining and analyzing student work on four modelling problems. The study comprised four two-week-long cycles. The data were collected through individual reflection papers and written group reports…

The 21st-Century learning has been widely associated with problem-solving skills in a global perspective but not much related to local wisdom, even though local perspectives are also needed in adapting people's daily social lives. The purpose of this research was to analyze the effectiveness of Enculturation-Assimilation-Acculturation (EAA) model…

The International Mathematical Modeling Challenge takes place towards the end of Term 1 each year in Australia. Students use their research, mathematical and creative abilities to develop a mathematical model to address a real world problem. Ross Turner describes some aspects of the competition.

The use of causal diagrams to externalize the mental representation of a problem is recognized to be an important step in solving complex problems. In geography education several global challenges taught about in class are highly complex due to the interconnectedness of many causes and consequences. A systems thinking approach might be helpful to…

Integrating the disciplines of mathematics and science is one way to place the calculations of volume and surface area into a real life context. The authors present an activity for middle-school students that aims to promote their learning of these key concepts in a personally meaningful way, whilst also developing inquiry and problem solving…

In order to support physics students in their future careers, there is a need to understand the relationship between undergraduate education and professional practice in physics-related fields. This study investigated high-level goal driven mathematical problem-solving activities that are found within two disciplinary cultures: physical science…