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Development Of Case Stories By Interviewing Students About Their Critical Moments In Science, Math, And Engineering Classes, Vicki V. May, Thomas H. Luxon, Kathy Weaver, Rachel Esselstein, Cynthia Char Dec 2007

Development Of Case Stories By Interviewing Students About Their Critical Moments In Science, Math, And Engineering Classes, Vicki V. May, Thomas H. Luxon, Kathy Weaver, Rachel Esselstein, Cynthia Char

Numeracy

Dartmouth’s Critical Moments project is designed to promote discussions among faculty and graduate students about the retention of students, particularly women and minorities, in science, math, and engineering (SME) disciplines. The first phase of the ongoing project has been the development of four case stories, which are fictionalized composites drawn from surveys and interviews of real Dartmouth students. The surveyed population was 125 students in general chemistry. Of the 77 who agreed to be interviewed, 61 reported having experienced a critical moment – i.e., a positive or negative event or time that had a significant impact on the student’s academic …

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Teachers Talk: Pressure Points In The K-8 Mathematics Curriculum, Kim Rheinlander, Dorothy Wallace, Wells Morrison, Daniel Ansari, Donna Coch, B. Venus Williams Dec 2007

Teachers Talk: Pressure Points In The K-8 Mathematics Curriculum, Kim Rheinlander, Dorothy Wallace, Wells Morrison, Daniel Ansari, Donna Coch, B. Venus Williams

Numeracy

Forty K-8 teachers participated in small, in-depth, facilitated discussions about "pressure points" in the curriculum. We define a pressure point as a topic, skill, or concept that is crucial to future mathematics learning but which many or most students do not master to the extent expected at a given grade level. They are issues that persist from one grade level to the next; eventually they impair the ability of students to succeed in technical disciplines. The teachers identified a number of pressure points; we focus on an understanding of place value and "reasonableness" of answer as two examples that were …

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Scientifically Based Research In Quantitative Literacy: Guidelines For Building A Knowledge Base, Richard L. Scheaffer Dec 2007

Scientifically Based Research In Quantitative Literacy: Guidelines For Building A Knowledge Base, Richard L. Scheaffer

Numeracy

Research in quantitative literacy (QL) is in its infancy, so now is the time to begin a regimen for healthy growth into adulthood. As a new discipline still defining itself, QL has the opportunity to build a sound infrastructure for accumulating a solid body of interconnected research that will serve the discipline well in years to come. To that end, much can be learned from recent studies of the weaknesses of mathematics education research and recommendations on how to overcome them. Mathematics education lacks a strong research foundation, one that is scientific, cumulative, interconnected, and intertwined with teaching practice. These …

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Evolution Of Numeracy And The National Numeracy Network, Bernard L. Madison, Lynn Arthur Steen Dec 2007

Evolution Of Numeracy And The National Numeracy Network, Bernard L. Madison, Lynn Arthur Steen

Numeracy

The National Numeracy Network grew from heightened awareness of the complex and sophisticated nature of quantitative literacy and the resulting need for interdisciplinary attention to education for quantitative literacy in schools and colleges. This complexity and sophistication applies especially to the US where it is fueled by an agile economy and the needs of a democratic society. This paper describes the environment surrounding the National Numeracy Network’s establishment, some of its activities, and some complementary and synergistic actions by other professional societies. The paper concludes with a sample of quantitative literacy programs in colleges and universities

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Reed-Solomon Codes Construction & Decoding, Samuel J. Parsons Dec 2007

Reed-Solomon Codes Construction & Decoding, Samuel J. Parsons

Honors Capstones

Capstone submitted as a graduation requirement for the BSU Honors Program.

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Teaching Time Savers: The Exam Practically Wrote Itself!, Michael E. Orrison Jr. Dec 2007

Teaching Time Savers: The Exam Practically Wrote Itself!, Michael E. Orrison Jr.

All HMC Faculty Publications and Research

When I first started teaching, creating an exam for my upper division courses was a genuinely exciting process. The material felt fresh and relatively unexplored (at least by me), and I remember often feeling pleasantly overwhelmed with what seemed like a vast supply of intriguing and engrossing exam-ready problems. Crafting the perfect exam, one that was noticeably inviting, exceedingly fair, and unavoidably illuminating, was a real joy.

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Nonlinear Approximation Using Blaschke Polynomials, Daniel Van Vliet Dec 2007

Nonlinear Approximation Using Blaschke Polynomials, Daniel Van Vliet

Graduate Theses, Dissertations, and Problem Reports (ETD)

This dissertation, entitled Nonlinear Approximation Using Blaschke Polynomials, is motivated by questions arising from Empirical Mode Decomposition (EMD). EMD is a signal processing method which decomposes input signals into components called intrinsic mode functions (IMFs). These IMFs often have the desirable property that the instantaneous frequency of their analytic signals is positive. However, this is not always the case.;The first two chapters are introductions to approximation in general, and Empirical Mode Decomposition, respectively.;The third chapter presents a characterization of which analytic signals have the property of non-negative instantaneous frequency. These 'analytic signals with non-negative instantaneous frequency' (ASNIFs) are described using …

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Introductory Mathematics For Quantum Chemistry, Carl W. David Oct 2007

Introductory Mathematics For Quantum Chemistry, Carl W. David

Chemistry Education Materials

An elementary discussion of some of the mathematics employed in studying Quantum Chemistry in a style appropriate for persons who have not taken advanced mathematical instruction.

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The Fractional Weak Discrepancy Of A Partially Ordered Set, Alan Shuchat, Randy Shull, Ann N. Trenk Oct 2007

The Fractional Weak Discrepancy Of A Partially Ordered Set, Alan Shuchat, Randy Shull, Ann N. Trenk

Faculty Research and Scholarship

In this paper we introduce the notion of the fractional weak discrepancy of a poset, building on previous work on weak discrepancy in [J.G. Gimbel and A.N. Trenk, On the weakness of an ordered set, SIAM J. Discrete Math. 11 (1998) 655–663; P.J. Tanenbaum, A.N. Trenk, P.C. Fishburn, Linear discrepancy and weak discrepancy of partially ordered sets, ORDER 18 (2001) 201–225; A.N. Trenk, On k-weak orders: recognition and a tolerance result, Discrete Math. 181 (1998) 223–237]. The fractional weak discrepancy wdF(P) of a poset P=(V,≺) is the minimum nonnegative k for which there exists a function f:V→ …

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Patterns Of Life: Integrating Mathematics With Science, Culture, And Art, Dian Calkins, James B. Cunningham, Foad Satterfield, Mietek Kolipinski, Sibdas Ghosh Oct 2007

Patterns Of Life: Integrating Mathematics With Science, Culture, And Art, Dian Calkins, James B. Cunningham, Foad Satterfield, Mietek Kolipinski, Sibdas Ghosh

Collected Faculty Scholarship

We offered undergraduate students an interdisciplinary course Patterns of Life that develops mathematical reasoning strategies to solve complex problems. In its most essential form, mathematics is the study of patterns; and mathematical (patterned) reasoning is the ability to think with a plan and a purpose. Students personally experience and use patterns of reasoning in diverse disciplines, and then work in groups to form a valid strategy for solving a selected problem. Patterns of Life is designed as guided, on-site, active-learning experiences, in cooperation with local scientific, cultural and fine arts communities. Course goals for students include: (1) to increase mathematical …

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Some Open Questions On Modulo Classes, Frank J. Palladino Oct 2007

Some Open Questions On Modulo Classes, Frank J. Palladino

Senior Honors Projects

No abstract provided.

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Work In Progress -- Tailoring Optics Resources For K-5 Pre-College Outreach, Theresa M. Swift, Steve Eugene Watkins Oct 2007

Work In Progress -- Tailoring Optics Resources For K-5 Pre-College Outreach, Theresa M. Swift, Steve Eugene Watkins

Electrical and Computer Engineering Faculty Research & Creative Works

Pre-college instruction in science, technology, Engineering; and mathematics (STEM) is critical to preparing a workforce and citizens for a technology-based society. The K-5 years are especially important to creating interest and instilling basic concepts. Engineering-based pre-college outreach can provide useful resources in the K- 5 education classroom. However, interaction among K-5 teachers and STEM professionals is more effective if outreach is tailored to the K-5 environment. In particular, resources and outreach should accommodate K-5 assessment standards, level-appropriate concept definition, and grade continuity. This work uses a set of optics resources as an example of tailored outreach. Example lessons and activities …

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Breaking The Math Barrier, Bilqees Patel Sep 2007

Breaking The Math Barrier, Bilqees Patel

Institute for Educational Development, Karachi

No abstract provided.

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The Youth Urban Planning Institute, Fred Nastvogel Sep 2007

The Youth Urban Planning Institute, Fred Nastvogel

Essays in Education

This is a heuristic reflection on the challenge of increasing student interest in Science, Technology, Engineering, and Mathematics (STEM) as a meta-discipline. A simulation at the high school level is proposed to the end of meaningful integration of divers student capacities, urban melioration, long range networking, and individual portfolio development. There is a recognized need to encourage American youth to pursue careers in engineering and related fields of technology, mathematics, and science. One helpful tack would be to engage potential high school candidates in a design event addressing the real world issues of their own day-to-day environments. The strategy is …

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Some Necessary Conditions Of Boolean Functions To Resist Algebraic Attacks., Deepak Dalai Dr. Aug 2007

Some Necessary Conditions Of Boolean Functions To Resist Algebraic Attacks., Deepak Dalai Dr.

Doctoral Theses

No abstract provided.

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A Comparison Of Traditional Instruction And Standards-Based Instruction On Seventh-Grade Mathematics Achievement, Manika Deshawn Kemp Aug 2007

A Comparison Of Traditional Instruction And Standards-Based Instruction On Seventh-Grade Mathematics Achievement, Manika Deshawn Kemp

Theses and Dissertations

The purpose of this study was to determine if method of instruction, standards-based or traditional, had an impact on student mathematics achievement. More specifically, this study sought to determine if students taught using the JBHM Achievement Connections® standards-based method of instruction would show higher academic gain than students taught using a traditional method of instruction through the use of Mathematics: Applications and Connections, Course 2® in seventh-grade. The research design was a quasi-experimental design, with 65 students participating. Group A received a traditional method of instruction through the use of Mathematics: Applications and Connections, Course 2 and Group B received …

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Everything Stems From Nothing, Daniel Theis Aug 2007

Everything Stems From Nothing, Daniel Theis

All Theses

In sixteenth century Europe, mathematics was undergoing a transformation. Prominently among these changes were the switch from roman numerals to arabic numerals and the implementation of the number zero. The number zero has two main functions: to stand on its own as a symbol of nothing and to function as a placeholder. Thus, zero can be a symbol of nothing as well as a number that dramatically increases the value of the others. The dual roles of zero led to much confusion in early modern people. Shakespeare uses the different roles of zero in his plays Richard III, Hamlet, and …

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Elementary School Teachers' Understanding Of Essential Topics In Statistics And The Influence Of Assessment Instruments And A Reform Curriculum Upon Their Understanding, Timothy Jacobbe Aug 2007

Elementary School Teachers' Understanding Of Essential Topics In Statistics And The Influence Of Assessment Instruments And A Reform Curriculum Upon Their Understanding, Timothy Jacobbe

All Dissertations

With the increased emphasis on statistics at the elementary school level as recommended by the GAISE document, it is important to consider the current status of teachers' understanding of statistics. This study explored teachers' understanding as they implemented new curricula materials which have ten lessons focused on statistical topics at each grade level. These curricula materials provided a medium for discussion that helped reveal whether or not elementary school teachers possess an adequate understanding of essential topics in statistics to implement the standards they are now called upon to teach.
The results of this study indicate that elementary school teachers …

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Aligning Paradigms, Standards, And Assessment: A Higher-Education Application For Instruction In Science And Mathematics, Vikki K. Collins, Donna E. Pascoe, Martha C. Hall, H. Marguerite Yates Aug 2007

Aligning Paradigms, Standards, And Assessment: A Higher-Education Application For Instruction In Science And Mathematics, Vikki K. Collins, Donna E. Pascoe, Martha C. Hall, H. Marguerite Yates

Perspectives In Learning

Disciplines of science and mathematics are essential for 21st century life and progress of our nation. To strengthen the effectiveness of education in the state of Georgia and to address emerging and enduring issues in 21st century life, the state adopted Georgia Performance Standards. To meet the standards of science and mathematics in Georgia classrooms, programs of teacher preparation and educational leadership in higher education institutions across the state must support and develop pre-service and in-service teachers and leaders able to effectively incorporate standards and assessment consistent with this paradigm shift. Student leadership teams at Columbus State University were instructed …

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Integer Flow And Petersen Minor, Taoye Zhang Aug 2007

Integer Flow And Petersen Minor, Taoye Zhang

Graduate Theses, Dissertations, and Problem Reports (ETD)

Tutte [45] conjectured that every bridgeless Petersen-minor free graph admits a nowhere-zero 4-flow. Let P10 m&d1; ) be the graph obtained from the Petersen graph by contracting mu edges from a perfect matching. In chapter 1 we prove that every bridgeless P10 3&d1; -minor free graph admits a nowhere-zero 4-flow.;Walton and Welsh [48] proved that if a coloopless regular matroid M does not have a minor in {lcub}M(K 3,3), M*(K5){rcub}, then M admits a nowhere zero 4-flow. Lai et al [27] proved that if M does not have a minor in {lcub}M( K5), M*(K5){rcub}, then M admits a nowhere zero …

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Uniform Estimates For Eulerian-Lagrangian Methods For Singularly Perturbed Time-Dependent Problems, Hong Wang, Kaixin Wang Jun 2007

Uniform Estimates For Eulerian-Lagrangian Methods For Singularly Perturbed Time-Dependent Problems, Hong Wang, Kaixin Wang

Faculty Publications

We prove a priori optimal-order error estimates in a weighted energy norm for several Eulerian–Lagrangian methods for singularly perturbed, time-dependent convection-diffusion equations with full regularity. The estimates depend only on certain Sobolev norms of the initial and right-hand side data, but not on ε or any norm of the true solution, and so hold uniformly with respect to ε. We use the interpolation of spaces and stability estimates to derive an ε-uniform estimate for problems with minimal or intermediate regularity, where the convergence rates are proportional to certain Besov norms of the initial and right-hand side data.

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Gender Disparity In Mathematical Performance Revisited: Can Training In Problem Solving Bring Difference Between Boys And Girls?, M.A. Adeleke Jun 2007

Gender Disparity In Mathematical Performance Revisited: Can Training In Problem Solving Bring Difference Between Boys And Girls?, M.A. Adeleke

Essays in Education

This study examined the problem solving performance of male and female students’ mathematical problem-solving performances using Conceptual Learning Strategy (CLS) and Procedural Learning Strategy PLS). A sample of 124 science students assigned into CLS, PLS and Conventional Method (CM) groups were involved in the study making use of pretest, post test control group design. The sample was drawn from three intact Senior Secondary School Two (SSII) classes from three local government Areas of Osun State in Nigeria and were taught for a period of eight weeks. Findings of the study showed a non significant difference in the performance of boys …

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Mathematics Discipline Unit Mission 2006-07, Assessment Of Student Learning Committee May 2007

Mathematics Discipline Unit Mission 2006-07, Assessment Of Student Learning Committee

Assessment of Student Learning Reports

No abstract provided.

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Improving A Second Grade Student's Number Sense: An Instructional Intervention, Elizabeth Leigh Mathews May 2007

Improving A Second Grade Student's Number Sense: An Instructional Intervention, Elizabeth Leigh Mathews

Theses and Dissertations

The purpose of this qualitative case study was to help a second grade student, who struggled with mathematics but excelled in reading, to develop a conceptual understanding of number sense, using a teacher researcher-created intervention. The five-step, one-on-one intervention included the following: (1) use trade books to build mathematical knowledge and vocabulary (2) teacher modeling of concepts, (3) guided practice with manipulatives, (4) review using games and a ?Fact Pack?, and (5) journal writing to explain concepts. The Early Mathematics Assessment-3 (TEMA-3) was used as a pre- and post-test assessment the student?s mathematical knowledge. Other data included transcriptions of audio …

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Σary, Minnesota State University Moorhead, Mathematics Department May 2007

Σary, Minnesota State University Moorhead, Mathematics Department

Math Department Newsletters

No abstract provided.

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Effects Of State Tests In Ohio On Assessment Practices In Mathematics Education., Brian Thomas Boyd May 2007

Effects Of State Tests In Ohio On Assessment Practices In Mathematics Education., Brian Thomas Boyd

Electronic Theses and Dissertations

Classroom tests from nine eighth-grade mathematics teachers were collected from the 2003-04 and 2005-06 school years. These years represent one school year prior to the eighth-grade Ohio Achievement Test (OAT) in mathematics being implemented and the year after the eighth-grade OAT in mathematics was implemented, respectively. In addition, teachers were interviewed to gain insight into their classroom assessment practices. Classroom assessment data were compared between the two years, and interview data were examined, to investigate the impact that the new state test was having on classroom assessment practices. Teachers increased the percentage of their items that assessing content below the …

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Motivation And Attitude Of Preservice Elementary Teachers Toward Mathematics : Is Rural Revevant?, Christine Ankrom Perry May 2007

Motivation And Attitude Of Preservice Elementary Teachers Toward Mathematics : Is Rural Revevant?, Christine Ankrom Perry

Electronic Theses and Dissertations

This dissertation was a quantitative study with a sample of preservice elementary teachers from four universities in Kentucky. The purpose of this study was to investigate preservice elementary teachers' achievement goal orientations for learning mathematics and the relationship of those goals and their attitudes toward mathematics. A second goal of this study was to explore differences in the types of achievement goals and attitudes between rural preservice elementary teachers and their nonrural counterparts. Self-report instruments were administered to assess the level of three achievement goals – mastery, performance-approach, and performance-avoid, and three constructs of attitude – confidence in learning mathematics, …

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Reality Properties Of Conjugacy Classes In Algebraic Groups., Anupam Kumar Singh Dr. Apr 2007

Reality Properties Of Conjugacy Classes In Algebraic Groups., Anupam Kumar Singh Dr.

Doctoral Theses

In this thesis we denote a field by k. We consider fields of characteristic not 2 unless stated otherwise. The notation ¯k and ks denotes an algebraic closure and separable closure of k respectively. The symbols Q, R, C will denote fields of rational, real, complex numbers respectively. The symbol Z will denote the set of integers. We denote by cd(k) the cohomological dimension of k.We use G to denote an algebraic group and G(k) to denote the group of k rational points of G. Sometimes we abuse notation and denote the group of ¯k points of G by G. …

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2007 Sonia Kovalevsky Math For Girls Day Program, Association For Women In Mathematics, Lincoln University Of Missouri Apr 2007

2007 Sonia Kovalevsky Math For Girls Day Program, Association For Women In Mathematics, Lincoln University Of Missouri

Math for Girls Day Documents

2nd Annual Lincoln University Sonia Kovalevsky Math for Girls Day program on April 20, 2007

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2007 Sonia Kovalevsky Math For Girls Day Featured Workshop: Knot Theory, Association For Women In Mathematics, Lincoln University Of Missouri Apr 2007

2007 Sonia Kovalevsky Math For Girls Day Featured Workshop: Knot Theory, Association For Women In Mathematics, Lincoln University Of Missouri

Math for Girls Day Documents

2nd Annual Lincoln University Sonia Kovalevsky Math for Girls Day featured workshop by Mrs. Bernadette Turner on the topic of knot theory.

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