This article analyzes elementary school students' didactical situation in traditional games through ethnomathematics learning. The conventional game studied was "Endog-Endogan" or egg games from the Sundanese culture, West Java, Indonesia. This qualitative and quantitative study applied the design of the didactic learning stage. The…

When students see mathematics as an integrated field of study, they make connections, gain a deeper understanding of mathematical concepts, and see mathematics as a whole rather than disconnected, unrelated ideas. Measurement concepts are the perfect "seed to plant" to show how different mathematical strands integrate within other…

In this article, the author presents a Desmos activity where students adjust the measures of angles in radians to reposition a laser and a mirror so the beam passes through three stationary targets. This Radian Lasers activity can be extended to simulate project-based learning (PBL), a pedagogical approach for applying concepts and skills from…

In this paper, we describe an experiment in using history to work on problem-solving and the relationship between arithmetic and algebra. The students involved attended the first year of the Italian upper secondary school (grade 9). The original sources we used are problems from Italian treatises on arithmetic and algebra that appeared in the…

Whilst Productive Failure (Kapur, "Cognition and Instruction," 26:379-424, 2008, "Instructional Science," 38:523-550, 2010; Kapur & Bielaczyc, "Journal of the Learning Sciences" 21:45-83, 2012) has been shown to be efficacious in deepening students' learning of mathematics in Singapore classrooms, an action…

This paper describes and examines students' shared construction of meanings while learning about quadratic functions via digital artifacts that simulate real-world phenomena, like the motion of a ball on an inclined plane, focusing specifically on the role of the teacher in that construction process. The study follows the interactions of twenty…

"They are the same" is a phrase that teachers often hear from their students in arithmetic and algebra. But what do students mean when they say this? The present paper researches the notion of sameness within algebraic thinking in the context of generating equivalent numerical equalities. A group of Grade 6 Mexican students (10- to…

Several studies have pointed out difficulties of various types encountered by students in both secondary and high schools to acquire the exact meaning of the integral and to master the ability to invest it correctly in different domains. This contribution attempts to explore the effectiveness of some cognitive activities engaged in teaching…

This review study synthesises the literature on how computational thinking (CT) and mathematical thinking (MT) are integrated into mathematics education research with a focus on tasks. A review of 28 relevant articles on the Web of Science Core Collection database indicated that (1) CT helps students develop and apply mathematical concepts and…

From an APOS (Action-Process-Object-Schema) theory perspective, learning mathematics involves construction of knowledge through mental mechanisms, which evolves between different mental structures or stages. The focus of this study is to explore how transition occurs from an Action to a Process conception, in the context of a task related to the…

Despite the importance and many applications that parametric equations and curves have in mathematics and other sciences, there is a lack of research regarding this topic in mathematics education. The goal of this article is to explore university students' understanding of parametric equations and curves based on two lenses: Action, Process,…

The study of secondary mathematics involves many ideas, but too often high school mathematics curriculum materials and instruction begin by giving students the vocabulary first, along with definitions, before students have been able to explore the ideas. Particularly for students bureaucratically designated as English Learners, preteaching…

Prior research in mathematics education confirms the significance of representations as an integral part of curriculum standards. The effective teaching of representations is related to teachers' content and pedagogical knowledge. A teacher must know the salient features of the mathematical concept as well as the attributes of various…

Novel biomaterial development is a rapidly growing field that is crucial because biomaterial fouling, due to rapid and irreversible protein adsorption, leads to cellular responses and potentially detrimental consequences such as surface thrombosis, biofilm formation, or inflammation. Therefore, biomaterial technology's fundamentals, like material…

The Minnesota K-12 Academic Standards in Mathematics represent the work of the Mathematics Standards Review Committee who, during the 2021-22 school year, reviewed the 2007 Minnesota K-12 Academic Standards in Mathematics, other states' recently revised standards, current academic research, K-12 instructional best practices and public feedback.…