Mind-sets are expected to influence the process of designing, which require designers to successfully integrate complex decision-making processes into good design solutions. The study reported here analyses whether differences in mind-sets shown by design students can influence their design processes and impact the quality of the design solutions…

The paper discusses a certain type of competitions based on distance interaction of a participant with simulation models of concepts from discrete mathematics and computer science. One of them is the "Construct, Test, Explore" (CTE) competition, developed by the authors, the other is the Olympiad in Discrete Mathematics and Theoretical…

In this study, we propose the notion of a socio-mathematical norm to explore the affective aspects of a classroom in the context of problem posing. Our case is a gifted and talented mathematics classroom with twelve students. The primary source of data consists of forty-three mathematics lessons. Our theoretical stance defines two dimensions of a…

In this paper, we explore themes that emerged while reading "How does one recognize contextual mitigating factors (CMFs) as a basis to understand and arrive at better approaches to research designs" (Gallard Martínez et al. this issue). Specifically, we consider the potential for the CMF analysis method to help researchers be more…

This investigation evaluated the degree to which creativity training, idea generation instruction, and creative process impacted idea production, creativeness of solutions, and leadership effectiveness. Three sets of hypotheses were tested with a 114 groups of adults. First, groups whose members had some (i.e., one CPS course) or advanced training…

Background: The association between problem behavior in children and adolescents and creativity has hardly been examined. The few studies available report contradictory findings. There is some empirical evidence that a low socioeconomic status coincides with lower creativity test achievements. Objective: The current study addresses the question…

Howard's moral fortification theory of criminal punishment lends itself to justifying correction for children in schools that is supportive. There are good reasons to include other students in the learning opportunity occasioned by doing right in response to wrong, which need not exploit the wrongdoing student as a mere means. Care ethics can…

The following research focuses on the mind maps learning strategy used by future education professionals as a resource that encourages planning, reflection, self-control, and meta-cognition in the development of knowledge, and that improves creativity, practicality, and systematicity when organizing the information. The aim of this work is to…

Spurred by Kilpatrick's (1987) "Where do good problems come from?", this study explores problem-posing triggers of experienced problem posers for mathematics competitions. Triggers are conceived as instances of noticing, where an impulse draws a poser's attention and "triggers off" a mathematical re-action, one of the outcomes…

Students often struggle with the concept of dependence of events or random variables. We present a simple coin flipping game that yields surprising results due to the dependencies within the game. The game is simple enough for young children to understand and play, yet complex enough to yield results that are counterintuitive to even most graduate…

The current work builds on research demonstrating the effectiveness of Productive Failure (PF) for learning. While the effectiveness of PF has been demonstrated for STEM learning, it has not yet been investigated whether PF is also beneficial for learning in non-STEM domains. Given this need to test PF for learning in domains other than…

A typical mathematics assignment consists of a block of problems devoted to the same topic, yet several classroom-based randomized controlled trials have found that students obtain higher test scores when most practice problems are mixed with different kinds of problems--a format known as interleaved practice. Interleaving prevents students from…

We propose some generalizations of the classical Division Algorithm for polynomials over coefficient rings (possibly non-commutative). These results provide a generalization of the Remainder Theorem that allows calculating the remainder without using the long division method, even if the divisor has degree greater than one. As a consequence we…

Although we move and live in three-dimensional space, many prefer "two-dimensional" thinking in mathematics lessons. As a result, the transition between physical objects and their graphical representations can be considered one of the most common difficulties in learning and teaching solid geometry. This paper describes results of our…

Choice-making is a strategy that can be implemented across varying age levels and abilities to target problem behavior as well as academic engagement/performance. It can be embedded within multitiered systems of support frameworks as an individual or group approach as well as a Tier 1 or 2 strategy, depending on students' need and response, thus…