Education Commons^™

Conceptualizing Social Mathematical Empowerment: What Is The Curricular Connection?, Alicia C. Gonzales

Doctoral Dissertations

As a result of everchanging goals and visions for mathematics education in the United States, this study builds on an initial theoretical framework of empowerment and further conceptualizes one domain, namely Social Mathematical Empowerment [SME]. I used concept analysis to define processes and outcomes more precisely and identified SME as a multi-layered, dialectic construct. This approach results in two components of action and awareness with various instructional and theoretical approaches. I then applied that conceptualization and created an analytical tool to examine mathematics teaching materials to engage learners in SME. This study adds to the existing knowledge base by providing …

Mathematics Education As Dystopia: A Future Beyond, Peter Appelbaum, Charoula Stathopoulou, Constantinos Xenofontos

Journal of Humanistic Mathematics

We argue that scholars and practitioners of mathematics education need to find new directions through recognition of its dystopic characteristics, and embrace these characteristics as both the source of challenges and method of response. This contrasts with the generally utopic approach of most scholarship in the field. We offer critical ethnomathematics education as a model, since it has its own origins in lingering dystopic legacies. A perpetual hopelessness and disempowerment is one implicit curriculum of contemporary mathematics education, where the mathematics one learns might help to describe things, yet hardly assists in transforming the reification of power and agency in …

The Integration Of Computational Thinking In Mathematics Education: The Current State Of Practices In School, Outreach, And Public Educational Settings, Hatice Beyza Sezer

Electronic Thesis and Dissertation Repository

This study investigates the integration of computational thinking (CT) in mathematics education by examining current CT practices in school, community outreach, and public educational settings to seek insight into further affordances of CT. A qualitative content analysis through a mix of inductive and deductive approaches is used to analyze online CT resources and computational artifacts. I interpreted the data through Kafai et al.’s (2020) framings of CT and a combination of constructionism, social constructivism, and critical literacy theories of learning. This study revealed that cognitive framing of CT (acquisition) receives greater attention compared to situated framing (participation), whereas the affordances …

Learning Mathematics While Black In Rural Appalachia: Black Students' Counterstories And Freedom Dreams About Mathematics Education, Sean P. Freeland

Graduate Theses, Dissertations, and Problem Reports

This dissertation aims to illuminate and uncover the experiences of Black students’ learning mathematics in rural Appalachia and specifically West Virginia. The focal theory for this study is Critical Race Theory (CRT) which centers the experience of Black students and their voices. The intersection of race, mathematics education, and the context of rural Appalachia contribute to the analysis of these experiences in specific ways. Participants for this study included six Black high school students from various communities throughout West Virginia. Through interviews and mathematical autobiographies, these students shared their experiences learning mathematics across their schooling experiences and also considering their …

Critical Mathematical Inquiry

Occasional Paper Series

Welcome to Issue 41 of Bank Street’s Occasional Paper Series. The issue features a collection of papers by authors with a shared affinity for the work of critical mathematical inquiry (CMI). In what follows, we present our framing of mathematics education as a participatory venue for CMI and situate it in the context of another, perhaps more familiar approach to teaching mathematics for social justice (TMfSJ).

The “Soft Bigotry Of Low Expectations” And Its Role In Maintaining White Supremacy Through Mathematics Education, Laurie Rubel, Andrea V. Mccloskey

Occasional Paper Series

In this study, we offer an analysis of the phrase the "soft bigotry of low expectations" and considers its role in rhetoric about U.S. mathematics education policy and practice, especially in regards to Critical Mathematical Inquiry. From the phrase’s origins in a speech given by President George W. Bush in 2000, to its current use on social media, this phrase offers a lens into white supremacy and "tools of whiteness" (Picower, 2009), and their persistence in U.S. schooling paradigms, especially about mathematics. We analyze specific, recent instantiations of the phrase on blogrolls and Twitter, in addition to more implicit …

Collaboration And Critical Mathematical Inquiry: Negotiating Mathematics Engagement, Identity, And Agency, Frances K. Harper

Occasional Paper Series

When faced with the challenge of supporting students to do the “messy” mathematical work necessary for exploring social justice problems through critical mathematical inquiry, teachers might rely on more procedural or direct instruction. Because how students learn matters as much as what they learn, this can inadvertently limit students’ engagement with mathematics. Instructional strategies designed to foster equitable collaboration can support critical mathematical inquiry by promoting norms for equitable student engagement and mathematics identity development. As teachers and students negotiate what counts as mathematics engagement and who has access to mathematics, students’ authority over mathematics and social justice issues increases.

Cultivating A Space For Critical Mathematical Inquiry Through Knowledge-Eliciting Mathematical Activity, Debasmita Basu, Steven Greenstein

Occasional Paper Series

Learning mathematics becomes more effective when teachers leverage their students' mathematical and everyday knowledge as resources for instruction. Thus, tasks that reveal these forms of knowledge would be especially useful to teachers. Unfortunately, such tasks are hard to find and even harder to create. Consequently, we developed a collection of mathematical tasks that we hoped would elicit “children’s multiple mathematical knowledge bases (i.e., the understandings and experiences that have the potential to shape and support children’s mathematics learning—including children’s mathematical thinking, and children’s cultural, home, and community-based knowledge)” (Turner et al., 2012, p. 68). These tasks proved to be productive …

On "Icky" Data, The Political Classroom, And Towards Equity And Social Justice In Mathematics Education: A Conversation With Tonya Bartell, Samuel L. Tunstall, Oyemolade Osibodu, Tonya Gau Bartell

Numeracy

Tonya G. Bartell, ed. 2018. Towards Equity and Social Justice in Mathematics Education (Switzerland: Springer International Publishing) 341 pp. ISBN 978-3319929064.

This brief interview with Tonya Bartell introduces Towards Equity and Social Justice in Mathematics Education to the Numeracy audience. The interviewers also discuss with Tonya connections between quantitative literacy and mathematics for social justice, particularly in the context of US K-12 schooling. Tonya shares her perspective on topics ranging from the placement of quantitative literacy in K-12 mathematics education and how one might get started in incorporating a social justice lens into their teaching to paradigms for research …

Six Propositions Of A Social Theory Of Numeracy: Interpreting An Influential Theory Of Literacy, Jeffrey Craig, Lynette Guzmán

Numeracy

We share our experiences comprehending social theory as it applies to numeracy scholarship. We build on existing arguments that social theory—explicitly acknowledging the presence and influence of histories, power, and purposes—offers something important to scholars who study and discuss numeracy. In this article, we translate the six propositions of one particular social theory of literacy into propositions about numeracy, then we explore the meaning of each proposition, its connections to existing scholarship, and its implications. This article emerges from two literature reviews: one on social theories (especially their application to and development in literacy) and one on numeracy. We bring …

Why I Believe People Need Painting By Numbers, Jason Makansi

Numeracy

Jason Makansi.2016. Painting By Numbers: How to Sharpen Your BS Detector and Smoke Out the Experts (Tucson AZ: Layla Dog Press). 196 pp. ISBN 978-0998425900.

This piece briefly introduces my Painting By Numbers, which aims to take the core messages of the QL/QR community from academic and professional circles to the rest of the citizenry. I describe the book in the context of the critical need for the most basic numeracy tools to help consumers of news, information, and analysis—delivered through traditional and contemporary social media outlets—determine where a reported numerical result lies on the scale from utter nonsense …

Reconceptualizing Mathematics Education, Melinda Ann Smith

Legacy ETDs

This dissertation is to explore theoretically mathematics education in the United States and the need for reconcepualizing mathematics education. Mathematics education needs reconceptualizing because students know very little mathematics by the time they graduate from high school. Mathematics has become a subject to be feared and dreaded for centuries. High school teachers blame middle school teachers, middle school teachers blame elementary teachers, and elementary teachers blame parents for their students' lack of preparedness in mathematics. Elementary teachers express frustration in teaching mathematics because of their own lack of content knowledge and lack of preparation for the mathematics component of their …

A Study Of Elementary Teachers' Abilities, Attitudes, And Beliefs About Problem Solving, Nancy Mullins Brown

Legacy ETDs

Problem solving has been alternately viewed as the justification for the study of mathematics or as the impetus and means for studying mathematics. This study examines characteristics—attitudes toward problem solving, beliefs about problem solving, and abilities to solve problems—of elementary teachers of grades three, four, and five that relate to problem solving.

Participants completed a two-part survey to quantify their attitudes and beliefs and a problem-solving activity which quantified their problem-solving abilities. Four participants were subsequently interviewed. Analyses showed that these teachers had generally positive attitudes toward problem solving, generally positive beliefs about problem solving, and generally poor problem-solving abilities. …