Design thinking can be broadly defined as a set of creative skills to understand and problem-solve ambiguous and complex problems, and a practice that places humans at the heart of the design process. Such collaborative ways of design thinking and design-doing are much needed to address twenty-first century challenges such as climate change.…

The aim of this study is to examine the semantic structures used by mathematics teacher candidates to transform algebraic expressions into verbal problems. The research is a descriptive study in the survey model, which is one of the quantitative research types. The study group of the research consists of 165 teacher candidates studying in the…

This paper is a follow-up to a previous study, in which students (predominately life science majors) were found to self-express achievement goals with regard to a pre-lab problem-solving exercise in an algebra-based introductory physics course. In this paper, the same sampled population was also asked in the same feedback survey to discuss what…

The problems of digitalization of education and transformation of the Russian culture has been overlooked in the research space. The aim of this research therefore is to report the crisis nature of Russian educational culture, considered in terms of digital innovations of the higher education system. The study was qualitative, and it utilized the…

In the study reported on here I evaluated the alignment between the Annual National Assessment (ANA) and Trends in International Mathematics and Science Study (TIMSS). Theoretical perspectives were drawn from the Survey Enacted Curriculum (SEC), while quantitative correlational methods were used to determine the alignment between ANA and TIMSS…

Understanding equivalence is fundamental to STEM disciplines, yet misunderstandings and misconceptions inhibit students from fully appreciating or leveraging the concept. Using the game-based algebraic notation system, From Here to There! (FH2T), students explore ideas of equivalence by dynamically transforming expressions or equations among…

A burgeoning set of education-related organizations join networks each year, reflecting a shared belief that problems in education are too complex for any one educator or organization to solve on their own and that collaboration can support educational improvement. The goal of this paper is to describe how networked improvement communities (NICs)…

Interpreting findings from the numerous research studies that identify meta-variables linked with attitudes toward mathematics and their connections to achievement is complicated by the lack of theoretical clarity around the construct of attitudes. This mixed-methods multiple-case phenomenological study expands the body of research that describes…

We argue that the development of statistical literacy is greatly supported by engaging students in carrying out statistical investigations. We describe the use of driving questions and interesting contexts to motivate two statistical investigations. The PPDAC cycle is use as an organizing framework to support the process statistical investigation.

Students get a sense of realistic values for physical situations from texts, but more importantly from solving problems. Therefore, problems should use realistic values for quantities to provide needed practice. Unfortunately, some problems on tests and in textbooks do not use realistic values. Physical situations in electrostatics seem to be…

Insightful problem solving is a vital part of human thinking, yet very difficult to grasp. Traditionally, insight has been investigated by using a set of established "insight tasks," assuming that insight has taken place if these problems are solved. Instead of assuming that insight takes place during every solution of the 9 Dot, 8 Coin,…

This article begins by examining the possible meanings of "sustainability," and argues that most meanings are prescriptive rather than descriptive in nature: they tend, either overtly or covertly, to recommend the particular end-states that writers desire. The article then looks at the threats to leadership sustainability, suggesting…

This article offers an overview of the nature and role of relational thinking and relational reasoning in human learning and performance, both of which pertain to the discernment of meaningful patterns within any informational stream. Distinctions between thinking and reasoning relationally are summarized, along with specific forms of patterning…

This article details a high school classroom activity in which algebra tiles are used to help students gain a conceptual understanding of completing the square. The activity utilises the eight elements of effective mathematics education suggested in the National Council of Teacher of Mathematics' (NCTM's) "Principles to action: Ensuring…

This study aimed at examining the COTS (Commercial off the Shelf) games having strong potential for helping to enhance intrinsic motivation and computational thinking skills. To this end, STEAM game store was searched with the keywords of "programming, coding, computing, and algorithm". This search yielded 1,249 games. After eliminating…