Education Commons^™

Fragile Strength: Math Self-Efficacy Of High Achieving Girls, Tristan Tang

Education | Master's Theses

Math gender gap research shows girls’ math self-efficacy to be correlated with their interest in pursuing higher levels of math education and STEM career opportunities. Most math gender gap studies have used only quantitative approaches, thereby missing the opportunity to gain deeper perspectives directly from girls who are steadfastly facing the math gender gap. This study centered around two small focus groups of girls attending a unique secondary school where every afternoon is fully dedicated to deep engagement with higher-level mathematics. Additionally, parents of girls at the school were surveyed to provide further insight into possible sources of their daughter’s …

Review Of Towards Equity And Justice In Mathematics Education, Edited By Tonya Gau Bartell, Emily Lardner

Numeracy

Tonya Grau Bartell, editor. 2018.Toward Equity and Social Justice in Mathematics Education. (Cham, Switzerland: Springer International Publishing). 341 pp. ISBN 978-3-319-92906-4 (also available as an e-book).

Toward Equity and Social Justice in Mathematics Education is a welcome addition to ongoing conversations about what mathematics should be taught and how it should be taught at both the college and pre-college level. Although the primary audience for the volume will be math educators and researchers, readers of this journal will discover intersecting interests, concerns, and strategies.

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 …

Problem-Based Learning In K–8 Mathematics And Science Education: A Literature Review, Joi Merritt, Mi Yeon Lee, Peter Rillero, Barbara M. Kinach

Interdisciplinary Journal of Problem-Based Learning

This systematic literature review was conducted to explore the effectiveness of problem-based and project-based learning (PBL) implemented with students in early elementary to grade 8 (ages 3–14) in mathematics and science classrooms. Nine studies met the following inclusion criteria: (a) focus on PBL, (b) experimental study, (c) kindergarten to grade 8 level, and (d) focus on mathematics or science content. For these studies, we examined: the definitions of PBL used, the components of PBL explicitly identified as salient to student learning, and the effectiveness of PBL. This review found that although there is no consistent definition of PBL, PBL is …

"Returning To The Root" Of The Problem: Improving The Social Condition Of African Americans Through Science And Mathematics Education, Vanessa R. Pitts Bannister, Julius Davis, Jomo Mutegi, Latasha Thompson, Deborah Lewis

Catalyst: A Social Justice Forum

The underachievement and underrepresentation of African Americans in STEM (Science, Technology, Engineering and Mathematics) disciplines have been well documented. Efforts to improve the STEM education of African Americans continue to focus on relationships between teaching and learning and factors such as culture, race, power, class, learning preferences, cultural styles and language. Although this body of literature is deemed valuable, it fails to help STEM teacher educators and teachers critically assess other important factors such as pedagogy and curriculum. In this article, the authors argue that both pedagogy and curriculum should be centered on the social condition of African Americans – …

The Role Of Sequence In The Experience Of Mathematical Beauty, Leslie Dietiker

Journal of Humanistic Mathematics

In this article, I analyze the aesthetic dimensions of a sequence of mathematical events found in an unusual first grade lesson in order to demonstrate how sequencing may affect an individual’s experience of mathematical beauty. By approaching aesthetic as a sense or felt quality of an experience in context (Sinclair, 2001, 2011), this analysis explains how sequence can affect the way mathematical objects or actions are experienced by an individual. Thus, rather than questioning whether or in what ways a set of mathematical objects are beautiful or not, this paper addresses under what conditions is the mathematics in play beautiful. …

Dewey, Freire, And Foucault And An Ever-Evolving Philosophy Of (Mathematics) Education, David W. Stinson

Middle and Secondary Education Faculty Publications

In this essay, the author provides a working definition of philosophy from a cultural point of view, and argues the need for mathematics educators to develop their philosophy of mathematics teaching and learning or, to speak more broadly, their philosophy of education. He then historically situates three scholars—John Dewey, Paulo Freire, and Michel Foucault—who have been instrumental in the formulation of his philosophy of education. Next, he shares how the philosophies of these three scholars provide different languages to critique three aspects of education. He concludes with brief discussions on the process of his ever-evolving philosophy of mathematics teaching and …

A Method For Assessing And Describing The Informal Inferential Reasoning Of Middle School Students, Joshua Michael Goss

Dissertations

Informal Inferential Reasoning (IIR) has emerged in the last decade in the study of statistics education. Developing students’ IIR ability is seen as a way of preparing students for the important topic of Formal Statistical Inference (FSI); however, research is still needed in order to investigate how students transition between informal and formal statistical reasoning. A primary difficulty is that we do not have a way of assessing and describing students’ IIR ability levels. In order to address this, an Assessment of Informal Inferential Reasoning (AIIR) was developed, along with a Structure of Observed Learning Outcomes (SOLO) taxonomy (Biggs & …

Supporting Student Justification In Middle School Mathematics Classrooms: Teachers' Work To Create A Context For Justificaiton, Megan Staples

CRME Publications

Justification is an important disciplinary and learning practice. Despite a growing knowledge base regarding how teachers orchestrate mathematical discussions, few analyses have considered the orchestration of specific disciplinary practices such as justification. Using classroom video data from the JAGUAR project, we analyze two instantiations of extensive student justification in seventh-grade classrooms and document each teacher’s pedagogical approach that supported students’ engagement in this practice. We argue that, although there was overlap in their pedagogical repertoires, the teachers created a context for student justification in two unique ways. We document the similarities and differences in their approaches, including the nature of …

Teaching Mathematics For Social Justice: Conversations With Educators – A Symposium, David W. Stinson, Anita A. Wager

Middle-Secondary Education and Instructional Technology Faculty Publications

Using Marilyn Frankenstein’s germinal 1983 article “Critical Mathematics Education: An Application of Paulo Freire’s Epistemology” and Ole Skovsmose’s 1985 germinal article “Mathematics Education Versus Critical Education” as credible “start points”, critical mathematics or more broadly, social justice mathematics, is marking three decades of empowering yet uncertain possibilities. Nonetheless, there are two recurring questions: What is it? and What does it “look like”? Drawing on the collective stories (and wisdom) of critical mathematics educators, this symposium aims to offer some open, non-definitive answers to these two questions.

Conversations About Privilege And Oppression In Mathematics Education, David W. Stinson, Joi A. Spencer

Middle-Secondary Education and Instructional Technology Faculty Publications

In this editorial, the authors frame the purpose and outline the contents of the JUME special issue “Privilege and Oppression in the Mathematics Preparation of Teacher Educators” (the title of a 3-day conference held in Battle Creek, Michigan). As part of the “thoughtful action” called for throughout the conference, the intention of the special issue is to invite all mathematics educators (and others) into conversations about systems of privilege and oppression.

Addressing Impulsive Disposition: Using Non-Proportional Problems To Overcome Overgeneralization Of Proportionality, Kien Lim, Osvaldo Morera

Kien H Lim

Impulsive disposition is an undesirable way of thinking where one spontaneously applies the first idea that comes to mind without checking its relevance. In this research, we explore (a) the possibility of helping pre-service teachers improve their disposition, from being impulsive to being analytic, in one semester, and (b) the effect of using non-proportional situations. This study involves two sections of a mathematics course for pre-service teachers for Grades 4-8. The lessons were designed whenever possible to elicit students’ impulsive disposition so that they could become cognizant of it and make conscious attempts to overcome it. Some test items were …

Teachers Reflecting Differently: Deconstructing The Discursive Teacher/Student Binary, David W. Stinson, Ginny C. Powell

Middle-Secondary Education and Instructional Technology Faculty Publications

This session explores the ways that practicing teachers came to reflect differently regarding the discursive teacher/student binary during a graduate-level course entitled “Mathematics Education within the Postmodern.” Using Dewey’s concept of reflective thinking, as well as Foucault’s discourse and Derrida’s deconstruction, we show how the course provided new suggestions for the students as they continued their journey of becoming teachers. Through interweaving comments written by the students with concepts borrowed from postmodern philosophers and theorists, we illustrate how the teachers began to understand that teachers and students might indeed be described differently in the postmodern.

Becoming Critical Mathematics Pedagogues: A Journey, David W. Stinson, Carla R. Bidwell, Ginny C. Powell, Mary M. Thurman

Middle-Secondary Education and Instructional Technology Faculty Publications

This session will report the findings of a study that explored the beginning transformations in the pedagogical philosophies and practices of three mathematics teachers (middle, high school, and 2-year college) who completed a graduate-level mathematics education course that focused on critical theory and teaching for social justice, and how these transformations are compatible (or not) with reform mathematics education as suggested by the National Council of Teachers of Mathematics (NCTM), and in turn, the new Georgia Performance Standards (GPS). The study employed Freirian participatory research methodology; in fact, the participants were not only coresearchers, but also co-authors of the study. …

Critical Mathematics Pedagogy: Transforming Teachers’ Practices, David W. Stinson, Carla R. Bidwell, Christopher C. Jett, Ginny C. Powell, Mary M. Thurman

Middle-Secondary Education and Instructional Technology Faculty Publications

This study reports the effects of a graduate-level mathematics education course that focused on critical theory and teaching for social justice on the pedagogical philosophies and practices of three mathematics teachers (middle, high school, and 2-year college). The study employed Freirian participatory research methodology; in fact, the participants were not only co-researchers, but also co-authors of the study. Data collection included reflective essays, journals, and “storytelling”; data analysis was a combination of textual analysis and autoethnography. The findings report that the teachers believed that the course provided not only a new language but also a legitimization to transform their pedagogical …

What Is Mathematics?: Teachers Exploring The Philosophy Of Mathematics, Kimberly White-Fredette, David W. Stinson

Middle-Secondary Education and Instructional Technology Faculty Publications

No abstract provided.

Gaining Options: A Mathematics Program For Potentially Talented At-Risk Adolescent Girls, Pamela Trotman Reid, Sally K. Roberts

Teacher Education Faculty Publications

In response to indicators that a decline in interest in mathematics occurs among girls—particularly those from low-income and minority groups—during middle school, the GO-GIRL (Gaining Options: Girls Investigate Real Life) program was designed to help potentially talented at-risk girls. The program aimed to build mathematical confidence, skills, and conceptual understanding by integrating mathematics and social science research in a single-sex, technology-rich environment supported by university student mentors. The program targeted seventh-grade urban girls from public and private schools. Participants met over the course of ten Saturdays to learn research methods, computer skills, mathematics, and descriptive statistics. Quantitative data from the …

Mathematics As “Gate-Keeper” (?): Three Theoretical Perspectives That Aim Toward Empowering All Children With A Key To The Gate, David W. Stinson

Middle-Secondary Education and Instructional Technology Faculty Publications

In this article, the author’s intent is to begin a conversation centered on the question: How might mathematics educators ensure that gatekeeping mathematics becomes an inclusive instrument for empowerment rather than an exclusive instrument for stratification? In the first part of the discussion, the author provides a historical perspective of the concept of “gatekeeper” in mathematics education. After substantiating mathematics as a gatekeeper, the author proceeds to provide a definition of empowering mathematics within a Freirian frame, and describes three theoretical perspectives of mathematics education that aim toward empowering all children with a key to the gate: the situated perspective, …

The Northeast Ohio Model Schools Project: A Pathway To Scaling Up Reform In Mathematics And Science, Joanne E. Goodell, Francis S. Broadway, Linda Gojak

Joanne E Goodell

The Northeast Ohio Model Schools Institute (NOMSI) provided professional development for school-based leadership teams in standards-based mathematics and science teaching practices and leadership skills. Leadership teams from six local school districts were recruited to attend a two-week summer institute in August 2001, which focused on national standards, principles of effective professional development, an understanding of the conditions necessary for change. One or two faculty from the College of Arts and Sciences at each university also participated in the summer institute. Teams prepared a professional development plan for their school or district and received a mini-grant to implement their plan. Coaches—experts …

The Northeast Ohio Model Schools Project: A Pathway To Scaling Up Reform In Mathematics And Science, Joanne E. Goodell, Francis S. Broadway, Linda Gojak

Francis Broadway

The Northeast Ohio Model Schools Institute (NOMSI) provided professional development for school-based leadership teams in standards-based mathematics and science teaching practices and leadership skills. Leadership teams from six local school districts were recruited to attend a two-week summer institute in August 2001, which focused on national standards, principles of effective professional development, an understanding of the conditions necessary for change. One or two faculty from the College of Arts and Sciences at each university also participated in the summer institute. Teams prepared a professional development plan for their school or district and received a mini-grant to implement their plan. Coaches—experts …

Assessing The Impact Of Sustained Professional Development On Middle School Mathematics Teachers, Joanne E. Goodell, Lesley H. Parker, Jane Butler Kahle

Joanne E Goodell

The study reported in this paper examines the impact of the Ohio Statewide Systemic Initiative (SSI) on participating mathematics teachers. Quantitative data from 90 SSI-trained teachers and 400 teachers without training, along with qualitative data collected from seven SSI teachers who were visited in their classrooms are presented. Analysis of the quantitative data showed that SSI and Non-SSI teachers reported significantly different frequencies of reformed teaching practices and held significantly different views about the nature and pedagogy of mathematics. Qualitative data from the interviews highlighted that the SSI professional development experience, the ability to find creative ways to overcome lack …