Science and Mathematics Education Commons^™

Measuring Numeracy: Validity And The Programme For The International Assessment Of Adult Competencies (Piaac), Samuel L. Tunstall

Numeracy

A tension raised in recent scholarship is that between numeracy as a social practice and numeracy as a functional skill set. Such frameworks for conceptualizing numeracy pose a challenge to assessment because what individuals do with numeracy is not the same as what individuals can do (or express) in an assessment setting. This study builds on work related to numeracy assessment through a validity examination of a portion of a well-known assessment: the OECD’s Programme for the International Assessment of Adult Competencies (PIAAC). In following a path set out by standards for assessment, I ask: What does the PIAAC numeracy …

Opportunities Provided In Mathematics Methods Textbooks For Pre-Service Teachers To Develop Mathematical Knowledge For Teaching Fractions, Irem Ercan

USF Tampa Graduate Theses and Dissertations

I explored using qualitative content analysis what type of opportunities in mathematics methods textbooks are provided for pre-service elementary teachers to develop Mathematical Knowledge for Teaching Fractions (MKTF). Specifically, I examined all fractions tasks that are located in fraction chapters of mathematics methods textbooks in order to explore the ways they support pre-service teachers’ Subject Matter Knowledge and Pedagogical Content Knowledge of fractions.

I used qualitative content analysis of three mathematics methods textbooks to analyze how MKTF is offered for pre-service elementary teachers. In particular, I investigated the chapters that are designated to fraction concepts using both deductive and inductive …

Textbooks As A Tool For Planning And Facilitating Mathematical Discourse, Denise L. Polojac-Chenoweth

USF Tampa Graduate Theses and Dissertations

Across the nation, mathematics teachers are struggling to help their students meet the demands of high stakes testing while adhering to state standards for content and teaching and dealing with the time constraints imposed by school activities, paperwork, and testing schedules. Classroom mathematical discourse is touted as a central element of a quality mathematics learning environment. Nevertheless, many teachers struggle to implement mathematical discourse effectively. This dissertation aims to explore the use of textbooks as tools to support teachers in the planning and facilitation of mathematical classroom discourse.

In this study, I employed a mixed-methods design to investigate (1) how …

Teacher Leadership: The Value Of Action Research In The Development Of Science Teacher Leaders, Vanessa Vernaza-Hernández

USF Tampa Graduate Theses and Dissertations

The past few years have seen the establishment of many professional development programs for science teachers leaders aimed at improving the process of teaching and learning of science. One of these is the Robert Noyce Master Teacher Fellows (MTF) program, which is part of a research university in the southeastern United States. This is an extended teacher development program with the purpose of developing effective science and mathematics teachers into successful teacher leaders, professional development providers, curriculum developers, and formal mentors. One of the characteristics that distinguishes this MTF program is that, as part of the leadership development experiences, the …

Students’ Experience With Interleaved Homework In High School Mathematics, Carrie Toreky

USF Tampa Graduate Theses and Dissertations

There has been discussion for many years about how much homework teachers give or whether they ought to give it at all. Some studies have shown that homework has a positive effect on high school students’ learning as measured by achievement tests or course grades. Additionally, there is an increasing interest among educators, policy makers, and researchers to identify instruction that can raise achievement levels and promote equity.

This study used an exploratory embedded comparative case design. The case study approach was used to explore students’ overall experiences with interleaved homework in high school mathematics classes. The subunits for this …

A Comparison Of Students’ Quantitative Reasoning Skills In Stem And Non-Stem Math Pathways, Emily Elrod, Joo Young Park

Numeracy

Quantitative Reasoning (QR) is essential for today’s students, yet most higher education institutions have not effectively addressed this issue. This study investigates students’ quantitative reasoning in STEM and Non-STEM math pathways using a non-proprietary, NSF grant-funded instrument, the Quantitative Literacy & Reasoning Assessment (QLRA). Participants were students enrolled in at least one college-level math pathway course at a large public institution in the southeastern US. The results showed a significant difference between STEM and Non-STEM students’ QLRA scores, with STEM students (n = 244, M = 27%, SD = 16.21%) scoring, on average, about 6% higher than Non-STEM students …

Developing And Facilitating Socioscientific Issues Based Science Lessons: Elementary Preservice Teachers’ Experiences, Melanie Kinskey

USF Tampa Graduate Theses and Dissertations

Instruction focused around socioscientific issues (SSI) has been found to improve skills for scientific literacy among K – 12 students. Unfortunately, teachers and preservice teachers are reluctant to implement SSI during science instruction due to a lack of self-efficacy or fear of the nature of controversial issues. In response to this obstacle, many researchers have begun work with helping preservice teachers become prepared to facilitate SSI. While there are findings from existing research that contribute to the overall state of preparing preservice teachers to facilitate SSI, perhaps the most influential is the assertion that preservice teachers need formal SSI training …

Development And Assessment Of A Continuing Education Unit In Quantitative Literacy For High School Stem Teachers, Craig P. Mcclure

Numeracy

Influencing the teaching of quantitative literacy at all levels of education can be difficult due to the many demands placed on educators. In a continuing education course, public high school science teachers participated in a pilot study of a program on quantitative literacy, involving defining quantitative literacy, how it is beneficial to students, examples of quantitative literacy education, and how it may be supported in the science classroom. Surveys administered before and after the unit indicate an improvement in the teachers’ understanding of quantitative literacy, and a follow-up survey indicates that the unit impacted classroom practice. Results support the conclusion …

The Effects Of Socioscientific Issues On Informal Reasoning And The Transference To Controversial Issues In A Social Studies Context, Thomas J. Dolan

USF Tampa Graduate Theses and Dissertations

The purpose of this study was to determine if informal reasoning skills associated with socioscientific issues (SSI) transferred to controversial issues in a social studies context. The principal researcher developed three controversial issues derived from social studies education to create social studies context issues (SSCI). This acronym has been termed by the principal researcher, as controversial issues in social studies have not been evaluated beyond the social studies classroom. Twenty-one, fifth grade students participated in this three-month study, which featured three specific SSI units (A Need for Speed? – speed limit reduction, Roller Coaster Ban – preventing injuries to children, …

Parts Of The Whole: The Having Of Wonderful Ideas: Eleanor Duckworth Introduces Us To Piaget, Dorothy Wallace

Numeracy

The small book of essays by Eleanor Duckworth has been a staple of teacher education for decades, serving as a bridge between Piaget’s observations of infants and the needs of the classroom. As her examples tend to be of young children, we consider more general ideas in the context of older grades and higher education. Several of her insights are discussed with an eye to application in the field of quantitative education, highlighting the need to integrate issues of pedagogy with those of content.

Effects Of Quantitative Literacy On Healthcare Decision-Making: An Aural Context, Robert G. Root, Sonia Bhala

Numeracy

We propose a relationship between sensory modality, numerical formatting, and performance on a survey simulating healthcare decision-making. We examine the current literature on aural health literacy, and specifically aural literacy coupled with health numeracy. We then create a survey instrument called the Bhala test for this purpose and demonstrate that it is moderately internally consistent and provides results that correlate with the NUMi assessment, a widely accepted measure of health numeracy. The quantitative information provided in the Bhala test has two treatments, percentage and natural frequency formats, in an effort to determine which format is easier for subjects to use …

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 …

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, …

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 …

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.

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 …