Science and Mathematics Education Commons^™

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 …

Assessing Impulsive-Analytic Disposition: The Likelihood-To-Act Survey And Other Instruments, Kien Lim, Amy Wagler

Selected Works Temporary Series

The likelihood-to-act (LtA) survey is a 32-item instrument that measures impulsive and analytic dispositions in solving math problems. In this research report, we compare it to other instruments related to the impulsive-analytic construct such as Frederick’s Cognitive Reflection Test (CRT) and the Barratt Impulsive Scale in terms of mean scores, Cronbach alpha values, and correlation values. Both LtA-Impulsive and LtA-Analytic subscales have acceptable reliabilities of 0.79 and 0.83 respectively. The LtA-Analytic and LtA-Difference (analytic-impulsive difference) correlated well with other the Need for Cognition subscale and CRT scores. The correlations involving LtA-Impulsive subscale were unexpected and call for further investigation.

Impulsive-Analytic Disposition In Mathematical Problem Solving: A Survey And A Mathematics Test, Kien Lim, Amy Wagler

Selected Works Temporary Series

The Likelihood-to-Act (LtA) survey and a mathematics test were used in this study to assess students’ impulsive-analytic disposition in the context of mathematical problem solving. The results obtained from these two instruments were compared to those obtained using two widely-used scales: Need for Cognition (NFC) and Barratt Impulsivity Scale (BIS). The exhibited correlations of the LtA scores with the NFC, BIS, and a math test provide evidence of the criterion validity of the analytic LtA items, and suggests further revision of the impulsive LtA items to improve the overall measurement validity of the LtA scale. Students LtA scores were found …

The Hammer-And-Nail Phenomenon In Mathematics Education, Kien Lim

Selected Works Temporary Series

"For a person with a hammer, everything looks like a nail" is a proverb that can be used to highlight the phenomenon that students tend to rely on familiar ideas as opposed to taking time to think about and analyse a problem. Presented in this theoretical paper is the usefulness of the hammer-and-nail metaphor, other related theoretical constructs, pedagogical causes of student impulsive behaviours, and pedagogical suggestions for addressing them.

William W. Cobern, Margaret Von Steinen

International Faculty Researchers

Dr. William W. Cobern, Distinguished University Professor of Science Education and Biological Sciences as well as director of the Mallinson Institute for Science Education, spent five months in Turkey beginning in September 2011 conducting research and giving lectures on methods for effective instruction for the teaching of science.

William W. Cobern's website

Iowa Academy Of Science: The New Bulletin, V08n2, Summer 2012, Iowa Academy Of Science

New Bulletin

Inside This Issue:

--Message from the Executive Director

--Iowa Science Teaching Section Elections

--Journal of the Iowa Academy of Science

--Announcements, Events & Deadlines

--Iowa Academy of Science Saylorville Lake Summer Speakers Series

--REAP-CEP Funds Project WET Preservice Workshops

Ua64/2 The Challenge: Magazine For The Center For Gifted Studies (No. 29, Summer 2012), Center For Gifted Studies, Tracy Inman Editor

Gifted Studies Publications

No abstract provided.

The Weak Discrepancy And Linear Extension Diameter Of Grids And Other Posets, Katherine Victoria Johnson

Department of Mathematics: Dissertations, Theses, and Student Research

A linear extension of a partially ordered set is simply a total ordering of the poset that is consistent with the original ordering. The linear extension diameter is a measure of how different two linear extensions could be, that is, the number of pairs of elements that are ordered differently by the two extensions. In this dissertation, we calculate the linear extension diameter of grids. This also gives us a nice characterization of the linear extensions that are the farthest from each other, and allows us to conclude that grids are diametrally reversing.

A linear extension of a poset might …

The Double Pendulum: Construction And Exploration, Benjamin J. Knudson

Physics

The exploration of a nonlinear mechanical system, the Double Pendulum, a physical pendulum on the end of a physical pendulum, using analytic and experimental approaches. Also included discussion of the design and construction of the Double Pendulum apparatus to work with Vernier LabPro and LoggerPro. The apparatus outputs live data of the angles to a LoggerPro which collects and produces time evolution graphs as well as a corresponding animation lending itself to comparison with theoretical models. Normal mode frequencies are found both analytically and experimentally for the the general (real) double pendulum. Examples of both simple (periodic) and complex (chaotic) …

Academic Excellence In Action: A Case Study Of Effective Instructional Methodologies Of Middle Grades Math Teachers, Nancy Hutchison

Doctoral Dissertations and Projects

The purpose of this case study was to analyze highly effective math teachers in a middle school in Tennessee and describe the methodologies utilized in their middle grades classrooms. This case study was an instrumental single case study within a bounded system. Effective math teachers employ certain methodologies consistently in their classrooms that can be utilized by other teachers to help students achieve academic success. Tennessee's First to the Top Act (2010) requires using teacher effect data to comprise 35% of teachers' retention/dismissal evaluation scores and requires a concentrated focus on seventh grade mathematics instruction. Questionnaires, interviews with math teachers …

The Effect Of Differentiated Instruction On Standardized Assessment Performance Of Students In The Middle School Mathematics Classroom, Kimberly Gail Williams

Doctoral Dissertations and Projects

Changing demographics, student diversity, and increased accountability have compelled educators to challenge the uniform constraints of traditional instruction and create an environment focused on individual achievement. Differentiated instruction empowers teachers to target multiple learning styles through varied themes, adapted content delivery, and assessment options. This quantitative quasi-experimental research study examined the effects of differentiated instruction on seventh grade student performance on standardized mathematics assessments using a repeated-measures design. Two independent research trials, controlling for initial group differences with 2011 Texas Assessment of Knowledge and Skills (TAKS) scores, provided inconclusive assessment results. Significant differences between students who received differentiated instruction compared …

Comparing The Success And Experiences Of Developmental Algebra I Students, Christy Lowery-Carter

Doctoral Dissertations and Projects

Students enrolled during the spring 2011 and summer 2011 semesters taking developmental Algebra I were invited to participate in a study. Students were required to complete a researcher-made pretest prior to instruction, complete the course over the semester, and complete an identical posttest at the end of the course. The online students voluntarily completed a researcher-made survey. An ANCOVA analysis, using the pretest scores as a covariate, showed a significant difference between the online and seated students, as the online students scored significantly higher. The survey showed online students tended to utilize the captured lectures, with a larger percentage of …

Polynomial Calculus: Rethinking The Role Of Calculus In High Schools, William Crombie, Melva R. Grant

Teaching & Learning Faculty Publications

Access to advanced study in mathematics, in general, and to Calculus, in particular, depends in part on the conceptual architecture of these knowledge domains, and in this paper we outline an alternative architecture. Our general strategy is to separate advanced concepts from the particular advanced techniques used in their definition and exposition. This alternative architecture, thus, affords access to advanced concepts from an elementary standpoint to a larger group of learners than is presently accomplished. In the case of the Calculus we develop the beginning concepts of the Differential and Integral Calculus using only concepts and skills found in secondary …

A Comparison Of Success And Failure Rates Between Computer-Assisted And Traditional College Algebra Sections, Sherry S. Herron, Rex Gandy, Ningjun Ye, Nasser Syed

Faculty Publications

A unique aspect of the implementation of a computer algebra system (CAS) at a comprehensive university in the U.S. allowed us to compare the student success and failure rates to the traditional method of teaching college algebra. Due to space limitations, the university offered sections of both CAS and traditional simultaneously and, upon registration, students were given no indication as to which method of instruction they were going to receive. All sections covered the same concepts and a common final exam was given. In this article, we compare the final grades of students enrolled in the computer-assisted and traditional sections …

Serious Game Design Principles: The Impact Of Game Design On Learning Outcomes, Michael W. Martin

Computational Modeling & Simulation Engineering Theses & Dissertations

This dissertation examines the research question "How do video game design principles affect learning outcomes in serious games?" This research first develops a theoretical foundation concerning the meaning of the terms "game" and "serious game". This conceptual clarification is broken down into analytic propositions, which state that games have participants, rules, goals and challenges, and synthetic propositions, which state that the games should be intrinsically compelling, provide meaningful choices, and be self encapsulated. Based on these synthetic propositions, three hypotheses were developed. The hypotheses are that games with an enhanced aesthetic presentation, more meaningful choices, or provide player competition will …

The Nature And Role Of Physical Models In Enhancing Sixth Grade Students' Mental Models Of Groundwater And Groundwater Processes, Debra Lynne Foster Duffy

Teaching & Learning Theses & Dissertations

Through a non-experimental descriptive and comparative mixed-methods approach, this study investigated the experiences of sixth grade earth science students with groundwater physical models through an extended SE learning cycle format. The data collection was based on a series of quantitative and qualitative research tools intended to investigate students' ideas and changes in ideas rather than measure their achievement. The measures included a groundwater survey, classroom observations, and one-on-one follow-up student interviews for triangulation of data sources. The research was carried out at a K-12 independent school in eastern Virginia using two classes of sixth grade earth science students (n=30).

The …

A Novel Approach In Teaching Stem Subjects Through Cross-Departmental Collaboration In Capstone Courses, Iem Heng, Andy S. Zhang, Farrukh Zia

Publications and Research

In today’s higher education, use of state of the art technology in the classroom and laboratory plays a vital role in hands-on cross-disciplinary activities and demonstration for students to learn the interconnection of STEM (Science, Technology, Engineering and Mathematics) concepts. To implement these activities, the capstone courses present an ideal opportunity for cross-departmental collaboration. The hands-on robotic design project is introduced in the capstone courses to teach interconnected STEM concepts. This type of project, which has proven very effective in engaging students, is used in many areas of technical courses as hands-on activities and demonstration and, in addition, lab work. …