Mathematical representation has an essential role in solving mathematical problems. However, there are still many mathematics education students who have difficulty in representing ill-structured problems. Even though the ill-structured-problem-solving tasks designed to help mathematics education students understand the relevance and…

Problem-based learning (PBL) is an innovative educational approach that dates back to the 1960s. However, the twenty-first century goal of sustainable education poses a challenge to PBL, especially as it relates to isolation. Here we discuss the underlying issue of isolation in three respects. First, the information-processing model of PBL depends…

There is broad agreement among executives on the importance of innovation and creativity in organizations. The paper aimed to provide information on the effectiveness of a new cognitive style inventory, the Productive-Reproductive Thinking Inventory (P-R), in identifying people with creative problem-solving potential. Participants completed the…

This article tries to show that combining opportunities to imitate and study with self-inspired and autonomous activities can facilitate the exploitation and exploration of different kinds of knowledge and ways of learning. This approach might inform leaders' and teachers' education and development with a focus on promoting students' capability…

Eye tracking is getting increasingly popular in mathematics education research. Studies predominantly rely on the so-called eye-mind hypothesis (EMH), which posits that what persons fixate on closely relates to what they process. Given that the EMH was developed in reading research, we see the risk that implicit assumptions are tacitly adopted in…

When characterizing students' item-solving strategies, methods such as interviews and think-aloud protocols are often used. However, these measures provide limited information about sub-or preconscious signals and cognitive processes that also affect students' item-solving strategies and abilities. A growing number of researchers in chemical…

Collaborative problem solving (CPS) has been deemed a critical twenty-first century competency for a variety of contexts. However, less attention has been given to work aimed at the assessment and acquisition of such capabilities. Recently large scale efforts have been devoted toward assessing CPS skills, but there are no agreed upon guiding…

This paper details an exploratory study of 14 elementary prospective teachers (PTs) solving purposefully crafted, two-digit addition problems. The numbers in each problem were chosen to elicit diverse solution strategies. We coded 95 responses based on the ways the PTs completed the calculation (for example, by referring to the number as…

Through problem solving especially in the chemistry courses, individuals are required to solve difference types of problems both in traditional and innovative ways, and to reveal different points of views. Both correct results and correct units are achieved through the conversion factors. The fact that the teacher candidates approach problem…

Homework is considered as a substantial process of learning especially for engineering education. However, due to the fast development of network technology, students now can easily find solution manuals on the internet. While some students use solution manuals to study, there are quite a few students who just copy homework solutions and lose…

Data sprints have emerged as a popular way to involve stakeholders in datawork. In this chapter we discuss what it takes to turn a sprint into a productive situation of inquiry (in the sense of Dewey, 1938). We argue that sprint organizers must work actively to counteract an otherwise docile setting where the preference for agreement between…

In this paper, six mathematics curriculum changes in Iran will be reviewed, spanning from 1900 until the present time. At first, change forces, barriers, and the main features of each curriculum reform will be represented. The first five curriculum changes are described briefly and the sixth and most recent curriculum reform will be elaborated. In…

This paper examines how organisations have increasingly been portrayed in textbooks as solving social problems as well as contributing to national development. Findings from 527 Canadian and U.S. textbooks illustrate the rise of an organisational society during the time period between 1836 and 2011. Discussions of for-profit and non-profit forms…

The use of heuristics as an instructional strategy enable instructors to provide students with problem-solving strategies that can be adapted and modified for different contexts and experiences. The purpose of this study was to examine the use of heuristics by students and gain insight into the thought process behind their problem-solving skills.…

To support teachers in implementing ambitious reform efforts, professional developers and teacher educators need to know more about teachers' thinking about argumentation. Specifically, there is a need to understand more about teachers' views and evaluations of "students'" mathematical arguments as they play out "in practice."…