Reliability Generalization Meta-analyses in Mathematics Education Research: A Research Synthesis

The purpose of this systematic review was to characterize the implementation of reliability generalization meta-analytic (RGM) practices within mathematics education-related empirical research. RGM studies are used to investigate and generalize the reliability of a measure across various studies. An exhaustive literature search was conducted to locate studies related to mathematics education, including RGM studies of psychological tests. The literature search included articles as well as grey literature (e.g., conference proceedings, dissertations, theses). Of the 27 RGM studies examined, five were on scales that related to mathematics education research, five were on scales related to motivation and/or learning, four related to self-esteem, self-concept, and/or self-efficacy, six related to perceptions, well-being, and/or anxiety, and seven related to personality or behavior. Of the mathematics education-related RGM studies, 85.5% (N=9,184) of the articles examined across studies had no mention of reliability or fell into the convention of citing previously reported reliabilities. Increasing awareness of RGM studies could lead to an increase in RGM studies conducted on mathematics education research scales, leading to increased understanding of mathematics education scales. This paper contributes to the literature on the practical and empirical importance of RGM for mathematics and STEM education praxis.

Implementation-related research in mathematics education: the search for identity

Implementation has always been a paramount concern of mathematics education, but only recently has the conceptualizing and theorizing work on implementation as a phenomenon begun in our field. In this survey paper, we conduct a hermeneutic review of mathematics education research identified as related to the implementation problematics. The first cycle of the review is based on examples of studies published in mathematics education journals during the last 40 years. It is organized according to five reasons for developing implementation research. The second cycle concerns 15 papers included in this special issue and is organized by four themes, as follows: objects of implementation, stakeholders in implementation, implementation vs. scaling up, and implementability of mathematics education research. The paper is concluded with a refined glossary of implementation-related terms and suggestions for future research.

Notions of Creativity in Mathematics Education Research: a Systematic Literature Review

Interest in creativity in mathematics education research is increasing, and the field of research is growing. Yet, research on creativity and the notions (we use this wording to accumulate understandings, beliefs, and ideas about the construct) of creativity that are addressed in empirical research are diverse and difficult to organize in an overview, with different theoretical backgrounds and theoretical assumptions underlying them. The aim of this article is therefore to provide a systematic overview of notions of creativity addressed in recent empirical research on mathematical education. We conducted a systematic literature review, guided by the question, What notions of creativity are addressed in current mathematics education research and what theoretical foundations do they rely on? The article gives an overview of the five predominant notions of creativity that were identified in current empirical research in mathematics education from 2006 to 2019. We describe and evaluate these notions and identify trends that will help to structure this diverse field of research.

Future themes of mathematics education research: an international survey before and during the pandemic

Before the pandemic (2019), we asked: On what themes should research in mathematics education focus in the coming decade? The 229 responses from 44 countries led to eight themes plus considerations about mathematics education research itself. The themes can be summarized as teaching approaches, goals, relations to practices outside mathematics education, teacher professional development, technology, affect, equity, and assessment. During the pandemic (November 2020), we asked respondents: Has the pandemic changed your view on the themes of mathematics education research for the coming decade? If so, how? Many of the 108 respondents saw the importance of their original themes reinforced (45), specified their initial responses (43), and/or added themes (35) (these categories were not mutually exclusive). Overall, they seemed to agree that the pandemic functions as a magnifying glass on issues that were already known, and several respondents pointed to the need to think ahead on how to organize education when it does not need to be online anymore. We end with a list of research challenges that are informed by the themes and respondents’ reflections on mathematics education research.

Styles of reasoning for mathematics education

Although reasoning is a central concept in mathematics education research, the discipline is still in need of a coherent theoretical framework of mathematical reasoning. With respect to epistemological problems in the dominant discourses on proof, mathematical modelling, and post-truth politics in the discipline, and in accordance with trends in the philosophy of mathematics and in mathematics education research in general, it is argued that it is necessary to give a relativist account of mathematical reasoning. Hacking’s framework of styles of reasoning is introduced as a possible solution. This framework distinguished between at least six different styles of reasoning, many of which are closely connected to mathematics, and argues that these frameworks define what we accept as decidable assertions, as justifications for such assertions, and as possible objects of such assertions. The article ends with a discussion of the implications of the framework for chosen fields of mathematics education research, which may motivate more focussed studies in the future.