Education Commons^™

Ratios And Proportional Reasoning Representations In Open Educational Resources, Keisha L. Albritton

USF Tampa Graduate Theses and Dissertations

This study analyzed Open Educational Resource (OER) textbooks to determine similarities and differences between the resources in relation to the content addressing ratio and proportional reasoning standards. This study also analyzed whether the selected resources provided opportunities for students to engage with the Standards for Mathematical Practice. Data were collected from tasks within the 6th and 7th-grade textbooks from Engage NY, Open Up Resources and Utah Middle School Math Project. Each task was analyzed according to frameworks from Van de Walle (2007), Lamon (2012), Lesh et al. (1988) Tall and Vinner (1981), and Hunsader et al. (2014). The tasks were …

Exploring Teacher Candidates' Facilitation Of Common Core Mathematical Practice Three, Andrea Scalzo Willson

USF Tampa Graduate Theses and Dissertations

The Common Core State Standards in Mathematics (CCSSM, 2010), refer to eight distinct Mathematical Practices describing what students should be doing for optimal learning during mathematics lessons. Specifically, Mathematical Practice 3 (MP3), “construct viable arguments and critique the reasoning of others” (CCSSM, 2010, para 4), posits students who are proficient in mathematics are able to compare different solutions, distinguish correct and logically sound answers from those that are incorrect and then explain why the solution is incorrect (CCSSM, 2010). MP3 requires teachers to provide opportunities for students to engage in discussions beyond just “show and tell” talk to develop a …

Using Flipped Classrooms To Teach Mathematics To Elementary Students In Saudi Arabia, Fawaz Alrouqi

USF Tampa Graduate Theses and Dissertations

During the years 2003, 2007, 2011, and 2015, Trends in International Mathematics and Science Study (TIMSS) revealed that students in Saudi Arabia had a below-average mathematics performance among 4th and 8th-grade students. The modern and innovative techniques and strategies of teaching, such as the flipped classroom method, should replace traditional teaching methods to improve the performance and growth of students. This qualitative multiple case study explores a deeper understanding of the perspectives and the experiences of three elementary mathematics teachers when using a flipped classroom model in Saudi Arabia. This case study shows a promise of using the flipped classroom …

Parts Of The Whole: Logical Categories Of Learning: Why Teaching Qr Is Hard, Dorothy Wallace

Numeracy

This column introduces the reader to an essay by anthropologist Gregory Bateson on the nature of learning. In that essay, he stratifies the learning process into categories based on what aspect of the student’s understanding is required to change in order to accomplish a given learning task. A discussion of the first three categories is followed here by examples from quantitative reasoning tasks and a further example from the ongoing discussion in the community of what numeracy entails. Bateson’s classification of learning into “logical categories” sheds light on what the goals of numeracy ask of both student and teacher, as …

The Numbers We Need: Review Of Shifting Contexts, Stable Core: Advancing Quantitative Literacy In Higher Education, Edited By Luke Tunstall, Gizem Karaali, And Victor Piercey (2019), John Macinnes

Numeracy

Luke Tunstall, Gizem Karaali, and Victor Piercey, eds. 2019. Shifting Contexts, Stable Core: Advancing Quantitative Literacy in Higher Education. Math Notes 88. (Mathematics Association of America, MAA Press). Print ISBN 978-0-88385-198-2. Electronic ISBN 978-1-61444-324-7.

Mine is a rather UK-centric view. The ability to understand numbers is increasingly vital for citizenship in a world where almost every argument, no matter how bogus, comes with numbers attached. Maths and stats, however, are too important to leave to the mathematicians and statisticians alone. There are as many varieties of application as there are disciplines and interests. Maths faculty are not there to …

Introducing Maa Notes #88: Shifting Contexts, Stable Core: Advancing Quantitative Literacy In Higher Education, Samuel L. Tunstall, Gizem Karaali, Victor Piercey

Numeracy

Tunstall, Samuel, Gizem Karaali, and Victor Piercey, eds. 2019. Shifting Contexts, Stable Core: Advancing Quantitative Literacy in Higher Education (Washington, DC: Mathematical Association of America) 258 pp. ISBN 978-1614443247.

This brief essay introduces readers to Shifting Contexts, Stable Core: Advancing Quantitative Literacy in Higher Education, a new edited volume published by the Mathematical Association of America. We begin by describing the story behind the volume, and then outline its four major parts: "A Bird’s Eye View," "Curriculum for Quantitative Literacy," "Quantitative Literacy in an Institutional Context," and "Perspectives from the Quantitative Literacy Community." We end with an excerpt from …

Alignment Between Learning Objectives And Assessments In A Quantitative Literacy Course, Younggon Bae, Samuel L. Tunstall, Kathryn S. Knowles, Rebecca L. Matz

Numeracy

In this analysis, we examine how course assessment items were aligned with learning objectives in a quantitative literacy course at Michigan State University. The alignment analysis consisted of mapping assessment items to a list of operationalized learning objectives from the course. Our analysis shows how often the learning objectives are represented in assessment items, how often they are paired with other learning objectives, and how influential they are in contributing to a student’s course grade. In addition, through comparisons across four assessment types (e.g., exams and homework), we show how each learning objective was assessed differently within each assessment type. …

How Do We Change Statistical And Critical Thinking Attitudes In Young People?, Rhys C. Jones

Numeracy

A quasi-experimental design was used to measure the impacts on student attitudes in statistics, mathematics and critical thinking (16-18 years of age) on a group of students who received a 21-week-long contextualised statistics course (called the Pilot Scheme in Social Analytics), in South Wales. This paper will discuss the development and delivery stages of the course as well as the student recruitment strategies employed. This paper will also discuss the changes in attitudes observed after the course had finished. Results suggest the course did lead to changes in the students’ attitudes becoming more positive with respect to statistics, mathematics, and …

The Ultimatum Game: An Introduction To Quantitative Literacy In A Social Justice Context, Robert G. Root

Numeracy

The Ultimatum Game is a two-person, multiple-strategy game widely used in the experimental social sciences to demonstrate the human propensity for costly punishment in response to inequitable treatment. The game serves to provide quantitative evidence for a diversity of fairness norms across cultures. The play of the game and its interpretation offer nuanced views of the nature and importance of quantitative literacy. Its use in a writing seminar connecting quantitative literacy and social justice is described.

Embedded Remediation Is Not Necessarily A Pathway For Equitable Access To Quantitative Literacy And College Algebra: Results From A Pilot Study, Rebecca L. Matz, Samuel L. Tunstall

Numeracy

Courses in developmental and introductory mathematics are changing. Because nearly all students need mathematics coursework to graduate from a postsecondary institution, yet institutions consistently struggle to ensure that students of all demographics succeed in credit-bearing mathematics courses, student success in such courses may be viewed as an issue of social justice. In particular, there is a need for institutions to provide pathways through college-level mathematics courses that meet the needs of students with a wide array of incoming mathematical knowledge and skills. In light of questions about pedagogy, pass rates, and effects on degree completion time, some institutions have moved …

Roots And Seeds: Finding Our Place In The Social Practice Nexus That Is Quantitative Literacy, H. L. Vacher, Nathan D. Grawe

Numeracy

The purpose of our new Roots and Seeds feature is to provide an open-access space to archive first-hand accounts of QL activities that have preceded our journal (2008). The first two contributions in the collection appeared last issue: Linda Sons on the making of what has come to be known as the 1994 Sons Report (Mathematics Association of America), and Dorothy Wallace on her path to the Quantitative Literacy Design Team for Mathematics and Democracy (2001), and the questions that bedeviled them then – and us now. In this issue, we get Rick Gillman’s account of how the committee that …

Exploring New Teacher Beliefs: Identity, Home-Life, And Culture In The Classroom, Frederick B. Bradley Iii

USF Tampa Graduate Theses and Dissertations

A persistent shortage of science, technology, engineering, and math (STEM) students, teachers, and professionals is seen by many as a threat to the nation’s global economic standing. Deficits in these areas are often attributed to a lack of quality K-12 STEM education, which is due in large part to a high rate of teacher turnover. Moreover, such teacher attrition has been shown to occur far more often in high-need schools and districts; thus serving to further marginalize disadvantaged members of society.

This study occurs within the context of The Robert Noyce Scholarship Program at our research-intensive university in the southeastern …

Changing High School Science Teacher Beliefs On Student Voice Through Action Research, Katie Laux

USF Tampa Graduate Theses and Dissertations

The purpose of this dissertation research was to explore how engagement in action research influenced high school science teachers’ beliefs and classroom practices related to student voice and participation. This included exploring any affordances or obstacles they experienced with attempting to increase student voice and participation in their classrooms. I facilitated individual action research projects with the teachers, and they were able to discuss individual action research plans and share ideas with colleagues. Four high school science teachers began this research. While all four teachers were selected as cases, only two of the teachers designed and followed through with their …

Weaved Journeys: Life Writings Of Leading And Engagement In Science Education, Tara M. Nkrumah

USF Tampa Graduate Theses and Dissertations

This study’s purpose was to explore science engagement and in/equity through science educators’ narratives of servant leadership at both the K-12 and higher education levels in the United States. The research question was: How have participants become and led others to become engaged in science? I took an arts-based approach using drawings and autobiographical data to initiate and create metissages focused on becoming engaged in science education. The findings were that: (1) Participants helped marginalized students understand the culture of science through pedagogical strategies that connected self and science; (2) Participants recognized and countered systemic forms of oppression for students …

Investigating Student Conceptual Understanding Of Structure And Function By Using Formative Assessment And Automated Scoring Models, Kelli Patrice Carter

USF Tampa Graduate Theses and Dissertations

There has been a call from the national community of biologists and biology educators to increase biological literacy of undergraduate students, including understanding and application of core concepts. The structure and function relationship is a core concept identified by the wider biology community and by physiology faculty. Understanding of the core concept structure and function across multiple levels of organization may promote biological literacy. My research focused on the development of formative written assessment tools to provide insight into student understanding of structure and function in anatomy and physiology.

In chapter two I developed automated scoring tools to facilitate the …

Investigating Levels Of Graphical Comprehension Using The Locus Assessments, Charlotte A. Bolch, Tim Jacobbe

Numeracy

Statistical literacy refers to two interrelated components: people’s ability to interpret and critically evaluate statistical information, and their ability to discuss or communicate their reactions to statistical information. The ability to read and interpret graphical displays is part of statistical literacy because much of the statistical information people encounter in their everyday lives are graphical displays or tables of data. The purpose of this study was to investigate college-level students’ graphical comprehension. Students’ graphical comprehension was assessed using items from the Levels of Conceptual Understanding in Statistics (LOCUS) assessments. Much can be learned about students’ graphical comprehension based on this …

The Second Decade Of Numeracy: Entering The Seas Of Literacy, H. L. Vacher

Numeracy

This multipurpose editorial explores and tries to count the many types of literacy that are referred to by name in Wikipedia and Numeracy. Wikipedia’s Category:Literacy page identifies 44 kinds of literacy that are the subject of articles, ranging from numeracy and graphicacy to braille literacy and diaspora literacy. In addition, searching Google finds more than 30 adjective-literacy or noun-literacy collocations, including quantitative literacy, adult literacy, and document literacy, that do not have Wikipedia pages of their own but are mentioned on other Wikipedia pages. The sum puts this modest literacy count in line with the more than 70 bodies …

Numeracy And Social Justice: A Wide, Deep, And Longstanding Intersection, Kira Hamman, Victor Piercey, Samuel L. Tunstall

Numeracy

We discuss the connection between the numeracy and social justice movements both in historical context and in its modern incarnation. The intersection between numeracy and social justice encompasses a wide variety of disciplines and quantitative topics, but within that variety there are important commonalities. We examine the importance of sound quantitative measures for understanding social issues and the necessity of interdisciplinary collaboration in this work. Particular reference is made to the papers in the first part of the Numeracy special collection on social justice, which appear in this issue.

Brave Spaces: Augmenting Interdisciplinary Stem Education By Using Quantitative Data Explorations To Engage Conversations On Equity And Social Justice, John R. Jungck, Jon Manon

Numeracy

In workshops and courses involving in-service teachers, participating teachers can engage in problem posing and exploration of difficult issues when they are asked to quantitatively model alternative scenarios, statistically analyze complex data, and visualize these data in multiple formats. Subsequent to these activities, discussions of sensitive issues, some even considered taboo in classrooms, can open up “brave spaces” in these teachers’ classrooms. Without coaching through elaborate facilitation strategies, the in-service teachers grappled openly with the nuances of such difficult issues and raised many alternatives involving quantitative reasoning as well as considering biological, cultural, economic, social, and political factors influencing social …

The Gini Index: A Lens For Analyzing Inequality In An Interdisciplinary College Classroom, Jared Warner, Vivian Lim

Numeracy

The Gini index is one of the most commonly used indicators of income inequality, and its computation and interpretation require a thorough understanding of various quantitative literacy concepts. In this article, we describe a unit for an interdisciplinary quantitative literacy course at a community college that treats concepts of ratio and proportion, percentages, and mathematical modeling through an exploration of income inequality and the Gini index. The broader theme of the interdisciplinary course is immigration, so the unit also invites students to explore connections between the Gini index and immigration. Employing in-class simulations, interactive online applets, and real-world data sets, …

Introducing Information Literacy To Mathematics Classrooms: A Cross-Case Analysis, Ander W. Erickson

Numeracy

This study employs a cross-case analysis to explore the demands and opportunities that arise when information problem-solving tasks are introduced into college mathematics classes. Mathematics teachers at three universities developed and introduced tasks that required students to seek out, evaluate, and synthesize quantitative claims from disparate information sources. The results focus on a comparison of how the teachers balanced content-specific instructional demands with the information literacy goals of the tasks that they created. Three tensions were identified through this analysis: the need to balance mathematical content with opportunities for students to engage in a realistic approximation of the information problem-solving …

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 …

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.

An Uncommon Textbook: Review Of Common Sense Mathematics By Ethan Bolker And Maura Mast, Bernard Madison

Numeracy

Ethan D. Bolker and Maura B. Mast. 2016. Common Sense Mathematics.(Washington DC.: Mathematics Association of America) ISBN-13: 978-1-93951-210-9.

Common Sense Mathematics is an integrative quantitative reasoning (QR) textbook that is built around scores of exercises derived from authentic circumstances from public media and other public sources. The exercises elicit responses from students requiring extensive communication and analyses and distinguish the book from ones typically encountered in a mathematics or science course. Responses to exercises often require one-half page or more of writing and can occupy considerable class time in discussion. The book has material for a one- or two-semester …