In this commentary, we explore tensions between engaging students in authentic disciplinary mathematical activity and insights from critical theorists who analyze equity in mathematics education. The tensions arise as engaging students in authentic mathematical activity usually involve having students adopt the language and norms of another…

It is commonplace in the educational literature on mathematical practice to argue for a general conclusion from isolated quotations from famous mathematicians. In this paper, we supply a critique of this mode of inference. We review empirical results that show the diversity and instability of mathematicians' opinions on mathematical practice.…

Within mathematics education, issues relating to equity and inclusion of diverse voices is receiving increasing attention. We argue that broadening the perspectives of the wider research community can only be achieved by providing opportunities for the stories of marginalised communities to be shared. In this article, we draw on our experiences,…

In this response paper to Hoyles' contribution "Transforming the mathematical practices of learners and teachers through digital technology" (EJ1200112) focuses on three points. First, more knowledge is needed on why teaching and learning practices should transform, into what will they transform, and by what or by whom will they be…

In their commentary, "Toward a Framework for Research Linking Equitable Teaching with the Standards for Mathematical Practice," Bartell et al. (2017) provide a stepping-stone into the challenge of clarifying the interface between equity and standards setting in mathematics education by devising a framework that relates the "Common…

The investigations described in the ten fascinating research studies contained in the current volume of "ZDM Mathematics Education" evoke some perspectives in response. I consider the articles thematically in relation to a suggested set of important or pressing questions about creativity and giftedness in mathematics education, grouped…

In a 2011 article in this journal, Hornby and Lafaele provided a comprehensive model to understand barriers that may adversely impact effectiveness of parental involvement (PI) in education. The proposed explanatory model provides researchers with a new comprehensive and systematic perspective of the phenomenon in question with references from an…

In this commentary, I reflect from a neurocognitive perspective on the four chapters on natural number development included in this section. These chapters show that the development of seemingly basic number processing is much more complex than is often portrayed in neurocognitive research. The chapters collectively illustrate that children's…

In this commentary, author John Byrne reflects on his 1998 "Journal of Public Service & Outreach" article, "Outreach, Engagement, and the Changing Culture of the University" reprinted in this 20th anniversary issue of "Journal of Higher Education Outreach and Engagement." Byrne's 1998 article was a call to modify…

In our response to Clements and Sarama (2017), we address the 5 issues that they identify as criticisms of our Research Commentary (Kitchen & Berk, 2016). As in our original commentary, we highlight concerns we have regarding the delivery of [computer-assisted instruction] CAI programs and potential misuses of CAI, particularly at Title I…

In this commentary, the authors reflect on their 2012 article, "The Centrality of Engagement in Higher Education" (EJ1001357) reprinted in this 20th anniversary issue of "Journal of Higher Education Outreach and Engagement." In their original article, they argued that for higher education to contribute meaningfully to…

This book calls attention to the policies and practices that discriminate against the silent majority of students in the American educational system. Arguments presented emphasize the collateral damage caused to average students by legislative mandates, administrative policies, teaching practices, parenting beliefs, and adherence to strict…

A growing body of research in the fields of mathematics education and literacy supports the inclusion of children's literature with the teaching and learning of mathematics. When mathematics is couched within a story and presented using pictures and informal, familiar language, students can more readily grasp the mathematical ideas and concepts.…

This paper argues that discussions of diversity often avoid the issue of race. Further, it maintains that diversity and structural backlashes to it in the United States in social and economic life shape and are shaped by crises in mathematics education. Attention is paid to the lack of instructional diversity in mathematical problem types and to…

Guest editors comment on articles chosen for a previous journal issue focusing on the role of higher education and national economic and social development. It is noted that in developing countries, higher education addresses nation-building, whereas in developed countries emphasis is on social and economic change in the postindustrial society.…