Understanding the secondary--tertiary transition is not only an educational matter, but also an inclusion and equality matter as mathematics qualifications lead to better employment and better earning for students. Research on what causes the crisis associated to this transition has so far focused on the impact of cognitive and epistemological…

The purpose of this study is to present a general perspective by examining the research works about primary school mathematics. In this direction, 637 articles in the Web of Science database and published in SSCI indexed journals between 1980 and 2021 were analyzed by bibliometric analysis, the general structure of the concepts in the studies was…

We report on a group theory activity in which learners explored dihedral symmetries through a tangible geometric model. This approach has historical roots in the work of Felix Klein's Erlangen Program and his "Elementary Mathematics from an Advanced Standpoint." We situate our study with respect to this history as well as current…

Good stories, literary or mathematical, have the ability to keep the reader engaged and wanting for more. However, poorly designed stories may also elicit a negative aesthetic reaction and thereby reduce engagement. By drawing on literary theory and Dietiker's ("For the Learning of Mathematics" 33(3):14-19, 2013; "Educational…

It is wildly held belief that one way to interest students in mathematics is to use real-world examples. Mathematics teachers are aware of the lack of interest in mathematics by many students and seek ways to improve their motivation. It seems reasonable to suggest that demonstrating to students the ubiquitous nature of mathematics may help…

ABN (Abierto Basado en Números--Open Calculation Based on Numbers) is a method for teaching basic arithmetic operations in primary education that has become popular in recent years and that is based on the decomposition of numbers through manipulative materials that encourage mental calculation. Currently there is limited number of tools that can…

Texas A&M University-Commerce has implemented supplemental instruction (SI) for Calculus since the fall of 2013. A direct display of the ABC rates from fall 2005 to spring 2021 only presents fluctuation from semester to semester, and one can hardly deduce that the ABC rates are increasing. In this paper, the "moving average"…

The literature reports that students have difficulties connecting different meanings, multiple representations of the derivative, and performing reversibility processes between representations of f and f'. The research goal is to analyze the mathematical connections that university students establish when solving tasks that involve the graphs of f…

Play allows young children to acquire and practice mathematics skills and concepts while engaging in meaningful and enjoyable activities (Bobis, 2010; Reed & Young, 2018). In particular, open-ended play provides children opportunities to discover materials, explore concepts, and solve problems (Rosli & Lin, 2018) and in the process,…

Math-talk communities are interactive classrooms where knowledge is constructed socially and discourse with peers is placed at the center of learning experiences. Many preservice elementary teachers find it difficult to implement math-talk communities. Given the documented value of math-talk communities as an effective strategy for engaging…

Digital task design is an important issue when integrating technology into mathematics education. However, existing frameworks often are not fine-grained enough for supporting teachers in designing tasks or they only focus on geometric topics. In this paper, we share a case study as the first cycle of our design-based research study that aims to…

This paper aims to broaden the scope of the construct concept image by addressing the mathematically oriented notion of "solution of an algebraic equation." The notion solution of an algebraic equation is not mathematical per se, but it is most prevalent in mathematical communications and in mathematics education. The paper describes…

As students transition from the calculus sequence to upper-level mathematics classes, many struggle to understand the purpose of proofs and how to produce them on their own. One tool students and mathematicians alike frequently use is examples to aid their understanding and production of proof. Using examples productively has been argued to be…

Our study explores teaching practices that aim to promote students' learning to define an analytical object. A Calculus II instructor conducted a teaching experiment (TE) in which 11 students reinvented a formal definition of a limit over five class periods with the instructor's guidance. During the TE, the instructor's teaching practices were…

This dissertation explores the reimagination of mathematics education through a Bourdieusian perspective. The conceptual framework includes Bourdieu's well-defined terms: capital, field, habitus, and doxa. A thorough review of mathematics education documents finds that mathematics education has not yet considered, mathematics capital, from a…