Science and Mathematics Education Commons^™

Quantitative Reasoning Learning Progression: The Matrix, Robert L. Mayes, Jennifer Forrester, Jennifer Schuttlefield Christus, Franziska Peterson, Rachel Walker

Numeracy

The NSF Pathways Project studied the development of environmental literacy in students from grades six through high school. Learning progressions for environmental literacy were developed to explicate the trajectory of learning. The Pathways QR research team supported this effort by studying the role of quantitative reasoning (QR) as a support or barrier to developing environmental literacy. An iterative research methodology was employed which included targeted student interviews to establish QR learning progression progress variables and elements comprising those progress variables, development of a QR learning progression framework, and closed-form QR assessments to verify the progression. In this paper the focus …

History Of Numeracy Education And Training For Print Journalists In England, Steven Harrison

Numeracy

If the history of journalism education has been a footnote to accounts of the profession’s development, then the history of numeracy training for journalists must be considered a footnote to a footnote. Despite the universally acknowledged centrality of numbers to a clear understanding of the world, many journalism students and entrants are proudly number-phobic; it is even suggested that an aversion to maths is a key reason why some choose journalism as a career. This study traces the development of numeracy education for journalists in England. It is only with the incipient professionalisation of journalism from the mid-19th century that …

Looking At The Multiple Meanings Of Numeracy, Quantitative Literacy, And Quantitative Reasoning, H. L. Vacher

Numeracy

The subject of this journal goes by a variety of names: numeracy, quantitative literacy, and quantitative reasoning. Some authors use the terms interchangeably. Others see distinctions between them. Study of psycholinguistic and ontological concepts laid out in the literature of WordNet and familiarity with the papers in this journal suggests a vocabulary matrix consisting of four rows (word senses) and three columns (word forms, namely numeracy, QL, and QR). The four word senses correspond to four sets of synonyms: {numeracy}, {numeracy, QL}, {QL, QR}, and {numeracy, QL, QR}. Each of the word forms is polysemous: “numeracy” points to the first, …

Documenting Elementary Teachers' Sustainability Of Instructional Practices: A Mixed Method Case Study, Bridget Cotner

USF Tampa Graduate Theses and Dissertations

School reform programs focus on making educational changes; however, research on interventions past the funded implementation phase to determine what was sustained is rarely done (Beery, Senter, Cheadle, Greenwald, Pearson, et al., 2005). This study adds to the research on sustainability by determining what instructional practices, if any, of the Teaching SMART[reg] professional development program that was implemented from 2005-2008 in elementary schools with teachers in grades third through eighth were continued, discontinued, or adapted five years post-implementation (in 2013). Specifically, this study sought to answer the following questions: What do teachers who participated in Teaching SMART[reg] and district administrators …

Student Identity Considerations And Implications Associated With Socioscientific Issues Instruction, Mitchel James Ruzek

USF Tampa Graduate Theses and Dissertations

The purpose of this investigation was to explore how aspects of identity, perceived levels of controversy, and the strength of a student's attachment to their controversial identity relate to conceptual understanding and knowledge acquisition during socioscientific issues (SSI) based instruction in a biology classroom. The knowledge gained from this study will have the capacity to enhance our understanding of the role that attachment to identity plays during SSI negotiation. Additionally, insight was gained into the role played by aspects of identity in conceptual understanding of scientifically controversial topics during SSI based instruction.

This study contributed to the existing knowledge base …

The Effect Of Teachers' Epistemological Beliefs On Practice, Milton David Huling

USF Tampa Graduate Theses and Dissertations

Unfortunately, for the most part, teachers do not teach the Nature of Science (NOS). Even when teachers have adequate NOS knowledge, their knowledge still does not make its way into practice. While there are various reasons for this happening, this study has isolated other, more typical, constraints to teaching in order to look more closely at the influence of personal epistemological beliefs, understandings of NOS, and their effects on practice. In an effort to minimize typical constraints of time for the teaching of NOS, a sixth grade physical science course was chosen as a way to minimize this constraint. Within …

Parts Of The Whole: Only Connect, Dorothy Wallace

Numeracy

This is the first of several columns that will focus on the mechanisms by which new ideas become accepted by a culture, offering some familiar examples, deriving basic principles from these examples, and applying them to the problem of promoting quantitative literacy in an educational system. In this essay we describe how new concepts become embedded in a culture through their connections to existing ideas, and use this principle to suggest strategies of discourse about numeracy that promote it among various constituencies in the culture.

The Language Of Comparisons: Communicating About Percentages, Jessica Polito

Numeracy

While comparisons between percentages or rates appear frequently in journalism and advertising, and are an essential component of quantitative writing, many students fail to understand precisely what percentages mean, and lack fluency with the language used for comparisons. After reviewing evidence demonstrating this weakness, this experience-based perspective lays out a framework for teaching the language of comparisons in a structured way, and illustrates it with several authentic examples that exemplify mistaken or misleading uses of such numbers. The framework includes three common types of erroneous or misleading quantitative writing: the missing comparison, where a key number is omitted; the apples-to-pineapples …

Sixth Graders Benefit From Educational Software When Learning About Fractions: A Controlled Classroom Study, Susanne Scharnagl, Petra Evanschitzky, Judith Streb, Manfred Spitzer, Katrin Hille

Numeracy

This study analyses the effectiveness of an educational web-based software package for teaching mathematics in schools. In all, 864 sixth graders and their teachers took part in the controlled study. Students learned the addition and subtraction of fractions with (intervention group; n = 469) or without (control group; n = 395) the support of the educational software. Compared to the controls, students who used the software showed better results in the post-test. Gains were dose dependent and particularly marked in high-ability students and students with lower scores of math anxiety.

Teaching Quantitative Reasoning: A Better Context For Algebra, Eric Gaze

Numeracy

This editorial questions the preeminence of algebra in our mathematics curriculum. The GATC (Geometry, Algebra, Trigonometry, Calculus) sequence abandons the fundamental middle school math topics necessary for quantitative literacy, while the standard super-abundance of algebra taught in the abstract fosters math phobia and supports a culturally acceptable stance that math is not relevant to everyday life. Although GATC is seen as a pipeline to STEM (Science, Technology, Engineering, Mathematics), it is a mistake to think that the objective of producing quantitatively literate citizens is at odds with creating more scientists and engineers. The goal must be to create a curriculum …

Cave And Climate Change: Educating The Public At Rats Nest Cave, Alberta, Canada, Charles J. Yonge, Andrea Corlett, Adam Walker

National Cave and Karst Management Symposium 2013

Rats Nest Cave is a Provincial Historic Site whose mandate is to present its natural history to the public. In addition to a suite of interpretive messages, and relevant to this conference’s topic, we have addressed diverse climate change over the geological history of the cave. We start with the cave-hosting rock and the fossils it contains, to its origin along a thrust fault, ending with its enlargement and secondary mineralization during the Quaternary glaciations (the latter having been dated by radiometric methods). We have undertaken a program of speleothem remediation which, visible to the public, serves to reinforce the …

Parts Of The Whole: The Educational Sieve, Dorothy Wallace

Numeracy

This essay argues that the structure of course prerequisites affects retention of students in a course of study. The same argument suggests that the structure of degree requirements, including quantitative reasoning courses, affects retention in college. In particular, the same set of courses required in a rigid sequence will cause more students to exit the program early than if the same courses were offered in a flexible order.

Parts Of The Whole: When Variation Is The Goal, Dorothy Wallace

Numeracy

The goals of higher education are a population of extreme variability in expertise, a diffusion of specialized knowledge across disciplinary boundaries, and production of strong K-12 teachers. Promoting these three goals has implications at all granularities, from the pedagogy of an individual college professor to the incentives and policies that shape systemic change.

Quantitative Reasoning Learning Progressions For Environmental Science: Developing A Framework, Robert L. Mayes, Franziska Peterson, Rachel Bonilla

Numeracy

Quantitative reasoning is a complex concept with many definitions and a diverse account in the literature. The purpose of this article is to establish a working definition of quantitative reasoning within the context of science, construct a quantitative reasoning framework, and summarize research on key components in that framework. Context underlies all quantitative reasoning; for this review, environmental science serves as the context.In the framework, we identify four components of quantitative reasoning: the quantification act, quantitative literacy, quantitative interpretation of a model, and quantitative modeling. Within each of these components, the framework provides elements that comprise the four components. The …

Personal Financial Behavior: The Influence Of Quantitative Literacy And Material Values, Pete Nye, Cinnamon Hillyard

Numeracy

Some consumers finance discretionary spending at extremely high interest rates. Many carry substantial balances on their credit cards at effective annual rates as high as 36 percent, and some pay annual rates on “pay day” loans as high as 400 percent. High interest debt can rapidly cascade into an overwhelming financial burden, threatening the consumer’s credit and long-term financial health.

This survey study investigates how quantitative literacy may promote forward-looking financial decisions, decisions that recognize the long-term consequences of current choices and may favor the future over the present. In addition, we examine the consumer’s confidence in their quantitative skills. …

An Investigation Of The Effects Of An Authentic Science Experience Among Urban High School Students, Angela Chapman

USF Tampa Graduate Theses and Dissertations

ABSTRACT

Providing equitable learning opportunities for all students has been a persistent issue for some time. This is evident by the science achievement gap that still exists between male and female students as well as between White and many non-White student populations (NCES, 2007, 2009, 2009b) and an underrepresentation of female, African-American, Hispanic, and Native Americans in many science, technology, engineering, and mathematics (STEM) related careers (NCES, 2009b). In addition to gender and ethnicity, socioeconomic status and linguistic differences are also factors that can marginalize students in the science classroom. One factor attributed to the achievement gap and low participation …

Preparing Teachers To Apply Research To Mathematics Teaching: Using Design-Based Research To Define And Assess The Process Of Evidence-Based Practice, Sarah Van Ingen

USF Tampa Graduate Theses and Dissertations

Persistent lack of mathematics achievement and disparity in achievement has led to the publication of research findings related to equitable teaching practices. Although the publication of such research provides insights about approaches for potentially increasing equity in mathematics education, teachers must be able to apply what has been learned from these studies to their classroom teaching practices. Despite the widespread expectation that teachers use research-supported teaching strategies to meet the needs of their diverse classrooms, the research to practice gap persists. Little research is currently available to guide mathematics teacher educators in how to prepare future teachers to apply research …

Investigating The Status Of Early Numeracy Skills In Bilingual Dual Language Learner Latino Children Attending Head Start And The Association With Parent Demographic Characteristics, Chavely Lissette Iglesias

USF Tampa Graduate Theses and Dissertations

Research on mathematics achievement has become increasingly important with today's technological advances and demand for specialized knowledge. Though there is much literature regarding mathematics achievement in monolingual speakers, little is known regarding the mathematical abilities of Dual Language Learner (DLL) Latino children. This study examined the early numeracy skills in English and Spanish of 132 DLL Latino children attending Head Start programs in five counties across Florida. Relationships and differences among their performance in both languages were examined, along with the contribution of specific parent demographic variables to math achievement. Findings indicated that DLL Latino Head Start children's performance on …

Parts Of The Whole: The Virtue Of Books, Dorothy Wallace

Numeracy

This column argues that the majority of commercial textbooks do not serve students well. Strategies for change include clearly distinguishing the textbook requirements of different priority subjects and assembling writers who can address, in addition to content development, the cognitive level of the children as well as writing in an age-appropriate way. A discussion of the forces that produce current texts leads to the recommendation that textbooks be a focus of research and improvement rather than the byproduct of an individual’s lecture notes.

Introducing Geoscience Students To Numerical Modeling Of Volcanic Hazards: The Example Of Tephra2 On Vhub.Org, Leah M. Courtland, Charles Connor, Laura Connor, Costanza Bonadonna

Numeracy

The Tephra2 numerical model for tephra fallout from explosive volcanic eruptions is specifically designed to enable students to probe ideas in model literacy, including code validation and verification, the role of simplifying assumptions, and the concepts of uncertainty and forecasting. This numerical model is implemented on the VHub.org website, a venture in cyberinfrastructure that brings together volcanological models and educational materials. The VHub.org resource provides students with the ability to explore and execute sophisticated numerical models like Tephra2. We present a strategy for using this model to introduce university students to key concepts in the use and evaluation of Tephra2 …

Spreadsheets Across The Curriculum, 4: Evidence Of Student Learning And Attitudes About Spreadsheets In A Physical Geology Course, Heather L. Lehto, H. L. Vacher

Numeracy

Spreadsheets have been used in education for teaching math concepts for years. However, when faculty at the University of South Florida began using a new set of spreadsheet-based modules to help teach students math and geology concepts the students were not receptive. The complaint most often heard was that students spent more time learning how to use Excel than they did learning the concepts presented in the modules. We began to wonder if the learning curve for Excel was so great that it prevented our students from attaining the level of learning for the math and geology concepts that we …

Number Sense: The Underpinning Understanding For Early Quantitative Literacy, Effie Maclellan

Numeracy

The fundamental meaning of Quantitative Literacy (QL) as the application of quantitative knowledge or reasoning in new/unfamiliar contexts is problematic because how we acquire knowledge, and transfer it to new situations, is not straightforward. This article argues that in the early development of QL, there is a specific corpus of numerical knowledge which learners need to integrate into their thinking, and to which teachers should attend. The paper is a rebuttal to historically prevalent (and simplistic) views that the terrain of early numerical understanding is little more than simple counting devoid of cognitive complexity. Rather, the knowledge upon which early …

Quantitative Reasoning And Sustainability, Corrine H. Taylor

Numeracy

Quantitative Reasoning and Sustainability have much in common. Both are complex, nuanced concepts with rather long definitions that have evolved over time. Both subjects are “everybody’s business” on college campuses, and must be approached in courses across the curriculum, not merely in one course on QR or in one course on Sustainability. The growing, wider presence of both QR and Sustainability on college campuses is due to their applicability in individuals’ personal, professional, and public lives. Moreover, QR and Sustainability support and enhance each other in and out of the classroom. Sustainability is an important, authentic, relevant context for lessons …

Team-Teaching Experiences Of A Mathematician And A Mathematics Teacher Educator: An Interpretative Phenomenological Case Study, Sarah K. Bleiler

USF Tampa Graduate Theses and Dissertations

In recent years, experts and organizations involved in mathematics education have emphasized the importance of collaboration between mathematicians and mathematics teacher educators as a means of improving the professional preparation of mathematics teachers. While several such collaborative endeavors have been documented in the extant literature, most research reports have focused on the products, rather than the process, of collaboration. The purpose of this interpretative phenomenological case study is to gain an understanding of the lived experiences of a mathematician and a mathematics teacher educator as they engaged in a team-teaching collaboration within the context of prospective secondary mathematics teacher preparation. …

Member Perceptions Of Informal Science Institutions Graduate Certificate Program: Case Study Of A Community Of Practice, Lois A. Ball

USF Tampa Graduate Theses and Dissertations

Abstract

This research attempted to understand the experiences of a cohort of informal and formal science educators and informal science institution (ISI) community representatives during and after completion of a pilot graduate certificate program. Informal science educators (ISEs) find limited opportunities for professional development and support which influence their contributions to America's science literacy and school science education. This emergent design nested case study described how an innovative program provided professional development and enabled growth in participants' abilities to contribute to science literacy. Data were collected through interviews, participant observations, and class artifacts. The program by design and constituency was …

Incorporating Quantitative Reasoning In Common Core Courses: Mathematics For The Ghost Map, John R. Jungck

Numeracy

How can mathematics be integrated into multi-section interdisciplinary courses to enhance thematic understandings and shared common readings? As an example, four forms of quantitative reasoning are used to understand and critique one such common reading: Steven Berlin Johnson’s "The Ghost Map: The Story of London's Most Terrifying Epidemic - and How it Changed Science, Cities and the Modern World" (Riverhead Books, 2006). Geometry, statistics, modeling, and networks are featured in this essay as the means of depicting, understanding, elaborating, and critiquing the public health issues raised in Johnson’s book. Specific pedagogical examples and resources are included to illustrate applications and …

Parts Of The Whole: Learn More, Learn Better, Dorothy Wallace

Numeracy

Building on previous columns in Numeracy, this column analyzes various teaching techniques in terms of their ability to build cognitive schema, extend existing schema, reinforce learning, move mean understanding of a group of students, and reduce variance in understanding of a group. We offer a pedagogical cycle as an example of how to address multiple learning goals using common teaching methods.

If Only Math Majors Could Write..., Bernard L. Madison

Numeracy

This text of the opening plenary address to the 2011 Summit of the Appalachian College Association and the meeting of the National Numeracy Network makes an argument that quantitative reasoning and writing should be taught together. The argument is set up by noting that humanists have historically banished quantitative issues from their study of the liberal arts and that science, engineering, and mathematics education suffers from lack of approaches to learning that promote complex, deeper understanding, most notably integrative and reflective learning. Therefore, everyone would profit from combining writing and quantitative reasoning. Five more specific reasons are discussed, drawing evidence …

Period Life Tables: A Resource For Quantitative Literacy, Thomas J. Pfaff, Stanley Seltzer

Numeracy

A period life table provides an estimate of the probability that a person will die at a particular age. Using data available online, we examine tables of expected years to live for males and females against age for three populations: the United States in 2007, the U.S. at the turn of the twentieth century, and the Roman Empire. Scatter plots of males and females for each population show how life expectancy increases with age (e.g., U.S. 2007: 50 year-old female > 40 year-old female > 45 year-old male). The three data sets allow historical comparisons (e.g., of gender disparity, larger now; of …

Motivation For Achievement And Attitudes Toward Mathematics Instruction In A Required Calculus Course At The Norwegian University Of Science And Technology, Donna Sundre, Carol Barry, Vidar Gynnild, Erin Tangen Ostgard

Numeracy

This study from the Norwegian University of Science and Technology (NTNU) examines students’ learning goals and attitudes toward mathematics in a first-year calculus course in undergraduate engineering education. Achievement motivation research using the Achievement Goal Questionnaire (AGQ) is advanced from current literature with two additions: (1) a course specific context using introductory college calculus students, and (2) participation of Norwegian students.

Pre- and posttest measures of attitudes indicate that students do change learning goals over time, unfortunately opposite to the instructors’ aspirations. A significant increase in “Mastery Avoidance” and “Work Avoidance” was accompanied with a drop in “Mastery Approach” and …