In 2018, we celebrated the sesquicentennial birthday of Robert A. Millikan, a Nobel laureate in physics who worked among the greats such as Niels Bohr and Albert Einstein. His name, however, is perhaps not as widely known. He was born in 1868 in Morrison, Illinois, and moved with his family to the small town of Maquoketa, Iowa, at age nine. It was…

Understanding a mathematical concept in real-world situations is of practical importance and would be helpful to learn the concept in depth. One potential way to help students learn mathematical concepts in real-world situations would be to engage them with contextual problems. Exponential and logarithmic concepts are essential topics in higher…

Artificial intelligence (AI) is experiencing evolutional changes currently, influencing nearly all areas of society and, mainly, the way we learn. This has promoted many scholars and practitioners in the field of education to consider AI as a significant topic for research. This study investigates EFL students' perceptions regarding the impact of…

Persistent difficulties in learning abstract algebraic concepts--particularly among preservice mathematics teachers--continue to hinder students' mathematical development. While prior studies have documented general misconceptions, few have grounded their analysis in comprehensive learning theories. Addressing this gap, the present study adopts…

This introduction to my "Interpreting Kant in Education: Dissolving Dualisms and Embodying Mind" begins with a disturbing puzzle. Immanuel Kant is one of the most significant thinkers of modern times, with unrivalled influence, but he receives a great deal of criticism in educational theory. The widespread, supposedly 'Kantian' picture…

3D-printing technology has become increasingly important in recent years, offering many possibilities for mathematics teaching and learning. From our point of view, the field of calculus seems to be particularly suitable for the use of 3D-printing. Using the example of 3D-printed graphs of functions, the use of this technology in calculus is…

This study explored how scientific ideas interacted in college students' scientific explanations using text analysis techniques and network analysis. A task was given to first-year college students asking them to answer a series of physics questions associated with a computer simulation. Students' written responses were classified into three…

In a mixed-methods study following 1551 adolescents from eight diverse schools across the US, a large majority demonstrated (a) strong norms of actively open-minded thinking (AOT) and (b) a widespread capacity for AOT. Students from two public (government) schools, two private (public) schools, and two charter (academy) schools were followed for…

Nat Banting, argues that the "invert and multiply" algorithm for division of fractions is, in fact, not an algorithm. He suggests that Liping Ma's (1999) algorithm, which involves writing the fractions with a common denominator and then dividing the numerator of the first fraction by the numerator of the second fraction, is better as it…

Recent research has shown that from early in development, children selectively form new beliefs in response to information supplied by others. However, little is known about the development of selective revision of existing beliefs in response to socially conveyed information. Such selective social belief revision has been extensively studied by…

As a keystone species the concept 'nature' plays a vital role in shaping our world. In this article, we think with the material turn about the "concept" nature due to its significant performativity in its role within environmental education and research. How nature is conceived is played out on a massive scale as matter itself is morphed…

The purpose of this research is to identify prospective mathematics teachers' conceptual structure about the concept of "Integral". In this research, phenomenology design, one of the qualitative research designs, was used. A total of 35 prospective mathematics teachers, studying at a state university, participated in the research. The…

Philosophers have claimed that education aims at fostering disparate epistemic goals. In this paper we focus on an important segment of this debate involving conversation between Alvin Goldman and Harvey Siegel. Goldman claims that education is essentially aimed at producing true beliefs. Siegel contends that education is essentially aimed at…

This paper reports an overview of contemporary research on early childhood mathematics teaching and learning presented at recent mathematics education research conferences and papers included in the special issue (2020--4) of "ZDM Mathematics Education." The research covers the broad spectrum of educational research focusing on different…

Novice design students struggle to engage with early stage design visualization tools such as sketching and prototyping. Instead students have a preference for designing with digital tools such as CAD modelling, motivated by inhibitions around sketching skill, which in turn leads to fixation and sunk cost effects. These behaviors present a barrier…