Digital Commons Network^™

Reflective Intensions: Two Foundational Decision-Points In Mathematics, Law, And Economics, Robert C. Hockett

Robert C. Hockett

This Article, transcribed from a symposium talk given by the author, examines two critical junctures at which foundational decisions must be made in three areas of theoretical inquiry - mathematics, law, and economics. The first such juncture is that which the Article labels the "arbitrary versus criterial choice" juncture. This is the decision point at which one must select between what is typically called an "algorithmic," "principled," "law-like," or "intensionalist" understanding of those concepts which figure foundationally in the discipline in question on the one hand, and a "randomized," "combinatorial," or "extensionalist" such understanding on the other hand. The second …

Is More Always Better: Comparing The Effects Of Single And Multiple Learning Channels On Academic Performance, Samantha Ann Spillman

USF Tampa Graduate Theses and Dissertations

Precision teaching (PT) is a measurement system used in multiple settings for all types of behavior, from driving to mathematics. The ultimate goal of PT is to develop fluent, free operant behaviors through analyzing response frequencies on a standard celeration chart. Research has found PT to be effective at improving both the speed and accuracy of academic skills. There is little research, however, in the effects of learning channels, a component of PT, as they relate to the acquisition of academic skills. The present study examined the relationship between single and multiple learning channels on the acquisition of mathematics skills …

Math Circle Program For 5th And 6th Graders, Shannon M. Eighmey

News Releases

Math Circle, a 14-week program designed to strengthen math skills for fifth- and sixth- grade students, will begin Tuesday, Sept. 2 at Cedarville University’s Engineering and Science Center. There is no cost to enroll in the program, but space is limited to 12 students. Classes are from 3:30-5 p.m. each Tuesday.

Working with professors from Cedarville’s department of science and mathematics, students will solve math problems, play math games, and talk about unique math ideas. Rather than a tutoring program, this class is designed to encourage young students and strengthen their math skills.

On Sign-Solvable Linear Systems And Their Applications In Economics, Eric Hanson

Journal of Undergraduate Research at Minnesota State University, Mankato

Sign-solvable linear systems are part of a branch of mathematics called qualitative matrix theory. Qualitative matrix theory is a development of matrix theory based on the sign (¡; 0; +) of the entries of a matrix. Sign-solvable linear systems are useful in analyzing situations in which quantitative data is unknown or had to measure, but qualitative information is known. These situations arise frequently in a variety of disciplines outside of mathematics, including economics and biology. The applications of sign-solvable linear systems in economics are documented and the development of new examples is formalized mathematically. Additionally, recent mathematical developments about sign-solvable …

Dual Task Interference In Low-Level Abilities: The Role Of Working Memory And Effects Of Mathematics Anxiety, Alex Michael Moore

UNLV Theses, Dissertations, Professional Papers, and Capstones

Mathematics anxiety is a negative affective reaction to situations involving mathematical thought and is commonly believed to reduce cognitive functioning by impairing the efficient use of working memory resources. The conventional theory describes that the processing disadvantage associated with high levels of math anxiety increasingly impairs performance as working memory demands increase in a math task. Despite this convention, recent reports demonstrate that the high math anxious disadvantage can be measured in tasks that are relatively free of working memory assistance (Maloney, Ansari, & Fugelang, 2011; Maloney, Risko, Ansari, & Fugelsang, 2010). The present study examines these relatively low level …

Active Vs. Passive Portfolio Management, Timothy Greenhill

Honors Projects in Mathematics

In the finance community there is a huge debate about whether or not active portfolio managers can provide better returns than passive managers. While active managers often provide excess returns, the costs of running an active fund offset whatever gains were made in the market. The objective of this report is to figure out whether or not active funds provide larger returns than passive funds on a cost adjusted basis. This report will identify which type of fund is a more cost effective investment, as well as identify different properties of funds and how they operate. The goal of doing …

Fearless Friday: Kirsten Crear, Kirsten Crear

SURGE

Even in her last semester here at Gettysburg, Kirsten Crear ’14 is fearlessly working to make changes for the future of the campus community. This semester, Kirsten introduced a STEMinists club on campus that will give female students who are STEM (an acronym for Science-Technology-Engineering-Mathematics) majors the opportunity to come together and create a community, share and discuss the difficulties they face as women in their fields of study, and support and mentor each other as they prepare to enter their fields.

Kirsten is passionate, driven, and determined, taking the initiative to bring this group of women together on campus …

The Latin-American Laboratory For Assessment Of The Quality Of Education: Measuring And Comparing Educational Quality In Latin America (Superseded Version), Australian Council For Educational Research

Assessment GEMS

The Laboratorio Latinoamericano de Evaluación de la Calidad de la Educación (Latin-American Laboratory for Assessment of the Quality of Education or LLECE) is the network of national systems for the assessment of education quality in Latin America, created in 1994, and coordinated by UNESCO’s Regional Bureau for Education in Latin America and the Caribbean (OREALC). LLECE’s purpose is to produce data and knowledge that inform educational policy in the region, contribute to capacity building, and serve as a forum for reflection, exchange and generation of new ideas and good practices in education evaluation. LLECE assessments aim to provide information about …

The Efficacy Of Mathematics Education, Eric Geimer

The STEAM Journal

Evidence supports the notion that mathematics education in the United States is inadequate. There is also evidence that mathematics education deficiencies extend internationally. The worldwide mathematics education deficit appears large enough that improving student performance in this educational problem area could yield great economic benefit. To improve the efficacy of mathematics education, education’s root problems must first be understood. Often supposed educational root problems are considered and contrasted against potential deficiencies of mathematics methodologies and curricula that are based on mainstream educational philosophies. The educational philosophies utilized to form early-grade mathematics methodologies and related curricula are judged to be the …

Gaining Control: Changing Relations Between Executive Control And Processing Speed And Their Relevance For Mathematics Achievement Over Course Of The Preschool Period, Caron A. C. Clark, Jennifer Mize Nelson, John Garza, Tiffany D. Sheffield, Sandra A. Wiebe, Kimberly Andrews Espy

Department of Educational Psychology: Faculty Publications

Early executive control (EC) predicts a range of academic out comes and shows particularly strong associations with children’s mathematics achievement. Nonetheless, a major challenge for EC research lies in distinguishing EC from related cognitive constructs that also are linked to achievement outcomes. Developmental cascade models suggest that children’s information processing speed is a driving mechanism in cognitive development that supports gains in working memory, inhibitory control and associated cognitive abilities. Accordingly, individual differences in early executive task performance and the irrelation to mathematics may reflect, at least in part, underlying variation in children’s processing speed. The aims of this study …

Cracking The Code On Stem: A People Strategy For Nevada's Economy, Jessica A. Lee, Mark Muro, Jonathan Rothwell, Scott Andes, Siddharth Kulkarni

Brookings Mountain West Publications

Nevada has in place a plausible economic diversification strategy—and it’s beginning to work. Now, the state and its regions need to craft a people strategy. Specifically, the state needs to boost the number of Nevadans who possess at least some postsecondary training in the fields of science, technology, engineering, or math—the so-called “STEM” disciplines (to which some leaders add arts and design to make it “STEAM”).

The moment is urgent—and only heightened by the projected worker needs of Tesla Motors’ planned “gigafactory” for lithium-ion batteries in Storey County.

Even before the recent Tesla commitment, a number of the more high-tech …

Cracking The Code On Stem: A People Strategy For Nevada's Economy Executive Summary, Jessica A. Lee, Mark Muro, Jonathan Rothwell, Scott Andes, Siddharth Kulkarni

Brookings Mountain West Publications

Nevada has in place a plausible economic diversification strategy—and it’s beginning to work. Now, the state and its regions need to craft a people strategy. Specifically, the state needs to boost the number of Nevadans who possess at least some postsecondary training in the fields of science, technology, engineering, or math—the so-called “STEM” disciplines (to which some leaders add arts and design to make it “STEAM”).

The moment is urgent—and only heightened by the projected worker needs of Tesla Motors’ planned “gigafactory” for lithium-ion batteries in Storey County.

Even before the recent Tesla commitment, a number of the more high-tech …

The Acquisition Of Expertise In The Classroom: Are Current Models Of Education Appropriate?, Craig P. Speelman

Research outputs 2014 to 2021

The study of expertise tends to focus on humans who can perform extraordinary feats. Although the way in which expertise is acquired is often characterized as similar to everyday skill acquisition, the attainment of basic numeracy skills is rarely considered in the same context as the attainment of expertise. It is clear, though, that average numeracy skills possess all the hallmarks of expert performance. In this paper I argue that the traditional classroom of Western education systems pays insufficient attention to the idea that effective numeracy skills represent a level of expertise that requires a particular form of training. Using …

Personal Best Goal And Self-Regulation As Predictors Of Mathematics Achievement: A Multilevel Structural Equation Model, Magdalena Mo Ching Mok, Michael Ying Wah Wong, Michael Ronald Su, Jim S. Tognolini, Gordon Stanley

Faculty of Social Sciences - Papers (Archive)

This study aimed to identify personal best goal and self-regulation as predictors of mathematics achievement for primary students. The sample comprised 3,821 (2,021 males and 1,800 females) students between Grades 3 to Grade 5 at 26 primary schools in Hong Kong. Students' personal best goals and self-regulation were used to predict their mathematics achievement six months later. Multilevel structural equation models were fitted to the data using the MPLUS software. Results showed that after controlling for student gender and grade level, students' personal best goal predicted their subsequent mathematics achievement. In contrast, self-regulation had no direct effect on students' mathematics …

A Bayesian Model Of Fertility Decisions In Relationship To Female Labor Force Participation, Rebecca C. Wardrop

Senior Independent Study Theses

Due to the increasing number of women in the labor force, opportunity costs associated with labor force participation are becoming an important factor in fertility decisions. Further, these decisions are assumed to be dynamic as the opportunity costs change as a woman progresses through her career. A Bayesian statistical model , which allows the distribution of the likelihood of having children to be updated as information is gathered, lends itself to the dynamicity of the decision-making process. A generalized model for fertility decisions in terms of labor force participation is created. I also discuss potentials for implementation and furthering the …

Mathematics In A Connected World, Anne Porter

Faculty of Engineering and Information Sciences - Papers: Part A

The issues confronting mathematics teachers remain as they have been for many years. How do you engage students who do not want to learn mathematics? How do you teach to students with varying abilities? How do you convey the relevance of mathematics? How do you engage students from different socioeconomic and ethnic groups? The questions all present as challenges. In a connected world there are many more options for addressing such challenges. The ease of creating and/or accessing learning resources in a connected world has enabled possibilities such as MOOCs, flipped classrooms, online learning, learning support programs and headstart programs. …