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Larry Math Cards, Larry Hillman, Institute For The Development Of Gifted Education, Ricks Center For Gifted Children, University Of Denver

Ricks Curriculum Units Series

Larry Hillman - teacher, mentor, and mathematician, was the creator of the mathematical problems found within the Institute for the Development of Gifted Education's publication, Larry Math Cards. Larry taught at the middle school level at the Ricks Center for Gifted Children on the University of Denver campus from 1999 until his death in 2002. He was passionate about teaching gifted learners and his students knew him to be a uniquely brilliant scholar and a stimulating educator. He enlightened their understanding of mathematics as his questions challenged their assumptions and his encouragement fueled their ambitions.

Larry loved joining his …

Work In Progress: The Wsu Model For Engineering Mathematics Education, Nathan W. Klingbeil, Richard Mercer, Kuldip S. Rattan, Michael L. Raymer, David B. Reynolds

Kno.e.sis Publications

This paper summarizes progress to date on the WSU model for engineering mathematics education, an NSF funded curriculum reform initiative at Wright State University. The WSU model seeks to increase student retention, motivation and success in engineering through application-driven, just-in-time engineering math instruction. The WSU approach involves the development of a novel freshman-level engineering mathematics course EGR 101, as well as a large-scale restructuring of the engineering curriculum. By removing traditional math prerequisites and moving core engineering courses earlier in the program, the WSU model shifts the traditional emphasis on math prerequisite requirements to an emphasis on engineering motivation for …

The Importance Of Mental Calculation Skills: A Review Of The Literature, Robert Gusty

Theses

This paper reviewed research related to phonological awareness in deaf and hearing individuals. A number of studies showed that individuals skilled in memory tasks and reading achievement utilize a phonological voice. Often referred to as inner voice or the articulatory loop, phonology was used by both hearing and deaf individuals considered to be skilled readers. The evidence also shows that the use of phonology for coding information is related to the ability to use memory efficiently. As reading achievement is very important in a deaf child's education, so is mathematics. Compared to hearing students, deaf students do not perform at …

What Are Rational Numbers? [8th Grade], Catherine Risinger

Understanding by Design: Complete Collection

In this pre-algebra unit of rational numbers, students will further their understanding of rational numbers and its application to everyday experiences. Pre-algebra is the stepping stone to high school mathematics. Therefore, it is imperative for students to recognize and demonstrate that there are appropriate situations in which rational numbers should be used and their usefulness to us. In the culminating performance task, students are asked to develop and present a plan for the BBQ that they will be hosting for a specified number of people. The BBQ scenario allows students to apply their knowledge of rational numbers in order to …

A Survey On Intrusion Detection Approaches, A Murali M. Rao

International Conference on Information and Communication Technologies

Intrusion detection plays one of the key roles in computer security techniques and is one of the prime areas of research. Usages of computer network services are tremendously increasing day by day and at the same time intruders are also playing a major role to deny network services, compromising the crucial services for Email, FTP and Web. Realizing the importance of the problem due to intrusions, many researchers have taken up research in this area and have proposed several solutions. It has come to a stage to take a stock of the research results and project a comprehensive view so …

G-Value Decoding Of Greedy Codes, Khalil Ahmad

International Conference on Information and Communication Technologies

Error-correcting codes are widely used to increase the reliability of transmission of information over various forms of communication channels. Codes with a given minimum distance d can be constructed by a greedy algorithm [2]. In this paper, I proposed a new algorithm for the allocation of g-values to the binary vectors. Hamming (7, 4, 3) code can be generated by the application of greedy algorithm on the binary vectors of length 7 arranged in B-ordering. This code is used to demonstrate a new decoding technique for linear codes in addition to the schemes already known for decoding such as Syndrome …

The Relationship Between Teaching Experience And Style And Primary Student Gains In Mathematics Using An Integrated Learning System, Marilyn N. Meub

USF Tampa Graduate Theses and Dissertations

The purpose of this mixed methods study was to ascertain using multiple tools and methods, the impact of teachers' interaction with primary students on mathematics performance using the Successmaker Integrated Learning System to determine effective teacher practices. The sample of nineteen primary teachers from an elementary school in southwest Florida included five first grade teachers, seven second grade teachers, and seven third grade teachers.

Data analysis included total years of teaching experience, years of experience in Florida schools, and years of experience at each grade. Both the total years of teaching and the years of teaching at the research site …

Governors State University Announces New Bachelor Of Arts In Mathematics Degree, Office Of Public Affairs

Press Releases

Governors State University will offer a Bachelor of Arts in Mathematics degree. The university’s College of Arts and Sciences (CAS) has created the degree program in response to the growing demand statewide for mathematics educators. The program also targets students looking for a career as mathematicians or in a scientific field.

Elementary Cellular Automata, Fractal Dimensions And Mutual Information., Naomi Kochi

Student Work

We explore a quantitative description of Wolfram's classification of elementary cellular automata based on fractal dimensions. We find the· fractal dimension to be a global measure in classifying elementary cellular automata independent of initial conditions. On the other hand, the results of our analysis of rules in Class 3 numerically confirm the existence of a wide range of dynamics among rules in Class 3. The main reason for this is due to the fact that the rules with the Sierpinski structure in Class 3 have the capacity to behave like rules in Class 2 depending on their initial conditions. Furthermore, …

Nonlinear Multiregressions Based On Choquet Integral For Data With Both Numerical And Categorical Attributes., Jin Hui

Student Work

Based on generalized Choquet integrals with respect to signed fuzzy measures, a model of nonlinear multiregression that can catch the interaction among predictive attributes toward the objective attribute can be established. In this model, some predictive attributes are numerical while the others are categorical. A numericalization technique is adopted to project each state of a categorical attribute that has more than two states to a multi-dimensional space optimally through a genetic algorithm, in which some regression coefficients are determined from data. To reduce the complexity of the genetic algorithm, the other regression coefficients such as the values of the signed …

Applications Of The Covering Property Axiom, Andres Millan Millan

Graduate Theses, Dissertations, and Problem Reports (ETD)

The purpose of this work is two-fold. First, we present some consequences of the Covering Property Axiom CPA of Ciesielski and Pawlikowski which captures the combinatorial core of the Sacks' model of the set theory. Second, we discuss the assumptions in the formulation of different versions of CPA.;As our first application of CPA we prove that under the version CPAgamecube of CPA there are uncountable strong gamma-sets on R . It is known that Martin's Axiom (MA) implies the existence of a strong gamma-set on R . Our result is interesting since that CPAgamecube implies the negation of MA.;Next, we …

Claw -Free Graphs And Line Graphs, Yehong Shao

Graduate Theses, Dissertations, and Problem Reports (ETD)

The research of my dissertation is motivated by the conjecture of Thomassen that every 4-connected line graph is hamiltonian and by the conjecture of Tutte that every 4-edge-connected graph has a no-where-zero 3-flow. Towards the hamiltonian line graph problem, we proved that every 3-connected N2-locally connected claw-free graph is hamiltonian, which was conjectured by Ryjacek in 1990; that every 4-connected line graph of an almost claw free graph is hamiltonian connected, and that every triangularly connected claw-free graph G with |E( G)| ≥ 3 is vertex pancyclic. Towards the second conjecture, we proved that every line graph of a 4-edge-connected …

The Hyperspace Graph Of Connected Subgraphs, Likin C. Simon Romero

Graduate Theses, Dissertations, and Problem Reports (ETD)

Given a connected graph G, the hyperspace graph of connected subgraphs C (G) is defined. The graph C (G) is such that every vertex represents a connected subgraph of G. It is shown that every connected graph G has a unique graph C (G). A characterization of a path, a cycle and the 3-star by their corresponding hyperspace graphs of connected subgraphs is shown. A special geometric representation R (G) of C (G) in an euclidean space is presented. A set P (G) is constructed based on R (G). When G is a topological tree, P (G) and the hyperspace …

Statistical Properties Of Thompson's Group And Random Pseudo Manifolds, Benjamin M. Woodruff

Theses and Dissertations

The first part of our work is a statistical and geometric study of properties of Thompson's Group F. We enumerate the number of elements of F which are represented by a reduced pair of n-caret trees, and give asymptotic estimates. We also discuss the effects on word length and number of carets of right multiplication by a standard generator x0 or x1. We enumerate the average number of carets along the left edge of an n-caret tree, and use an Euler transformation to make some conjectures relating to right multiplication by a generator. We describe a computer algorithm which produces …

Png Curriculum Reform Implementation Project : Implementation Project Report On The Pilot Curriculum Standards Monitoring Test, Chris Freeman, Prue Anderson, George Morgan

Monitoring Learning

This report presents an analysis of the test data from the Curriculum Standards Monitoring Test (CSMT) Pilot program, conducted in 2003 - 2004. It has been prepared by the Australian Council for Educational Research (ACER) on behalf of the Department of Education (DoE), with the support of the Curriculum Reform Implementation Project (CRIP). The terms of reference for the pilot CSMT required ACER and Curriculum Development Division (CDD) to conduct an assessment of PNG student achievements in literacy and numeracy in Grades 3, 4, 5 and 8 against the then current curriculum, taking into account also the outcomes of the …

Have Your Π And Eat It Too! Using A Course Website To Facilitate Student-Centered Learning And Improve The Effectiveness Of The High School Mathematics Experience, Jeffrey Bretsch

Critical and Creative Thinking Capstones Collection

The National Council of Teachers of Mathematics recommends that teachers provide their students with opportunities for student-centered learning. This often occurs in the form of discovery learning, hands-on learning, and interdisciplinary learning. These types of learning experiences fall under the umbrella of the educational theory of constructivism. Constructivism, in short, asserts that meaningful learning occurs when students actively construct their own understanding, making connections and drawing their own conclusions in response to genuine experiences. Many educators would agree that this type of learning is the ideal, but is not generally feasible due to the broad nature of the mathematics curriculum …

Orthogonal Curvilinear Coordinates, Lindsey J. Bromenshenkel

Honors Capstones

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

Σary, Minnesota State University Moorhead, Mathematics Department

Math Department Newsletters

No abstract provided.

Solving Nonlinear Optimization Problems That Have A Nondifferentiable Objective Function By Using A Pseudo Gradient Search., Marie Louise Spilde

Student Work

The gradient search fails in an optimization problem where the objective function is not differentiable--such as nonlinear multiregressions based on generalized Choquet integrals. In cases such as this, we may replace the gradient search with a pseudo gradient search to determine the optimal search direction. The pseudo gradient can be obtained algorithmically from a data set containing the objective attribute and relevant arguments of the objective function. The algorithm for the pseudo gradient search is based on a neural network model which uses statistical techniques such as root mean square error to determine the optimal search direction and the optimal …

Hand-Held Calculators And Mathematics Achievement: What The 1996 National Assessment Of Educational Progress Eighth-Grade Mathematics Exam Scores Tell Us, Kenneth L. Wareham

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The purpose of this study was to analyze the 1996 National Assessment of Educational Progress data to identify the relationship between calculator use and student performance on the National Assessment of Educational Progress Mathematics Assessment. This general purpose includes several sub issues. In addition to being interested in the overall relationship between use and National Assessment of Educational Progress achievement (including the effort to control for spurious factors), this study examined the contextual factors that moderate the impact of calculator use. Similarly, it analyzed the relationship between calculator use and student performance on calculator-allowed and calculator-restricted items, as well as …

Enumeration Of The Generalized Catalan Numbers, Steven L. Richardson Jr.

Graduate Theses, Dissertations, and Problem Reports (ETD)

The sequence of numbers given by the equation Cn=1n +12nn are widely known as the Catalan numbers, because they were first studied by Catalan. The ways to enumerate these numbers are similarly widely known and studied, as can be seen in Gould's catalog of Catalan numbers. Our objective is to find ways to enumerate this larger and generalized set of sequences, using multiple methods that will build on known enumerations of the Catalan numbers.

Some Nonparametric And Semiparametric Methods For Discriminant Analysis., Anil Kumar Ghosh Dr.

Doctoral Theses

Discriminant analysis (see e.g., Devijver and Kittler, 1982; Duda, Hart and Stork, 2000; Hastle, Tibahirani and Friedman, 2001) deals with the separation of different groups of obaervationa and allocation of a new oboervation to one of the previously delined grouga. In a J-class discriminant analysis problem, we usually hae a training sample of the form {(xk, ck) : k = 1,2,...,N}, where xk = (Ik1,Ik2,...J) is a d-dimensional measarement vector, and ca € {1,2,...,J} is its class label. On the basis of thia training sample, one aims to form a decision rule d(x) : Rd + (1,2,...,J} for clasifying the …

A Look At The Astrolabe, Emily Storrar

Honors Capstones

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

Functional Analysis And Its Applications, Peter M. Luthy

Mathematics Honors Papers

Functional analysis is, in short, the study of vector spaces with arbitrary dimension. Developed in the early twentieth century, it is an extension and amalgamation of the fields of complex analysis and linear algebra. David Hilbert, Frigyes and Marcel Riesz, and Stefan Banach were some of the noteworthy mathematicians who pushed the early frontiers of the subject. Many of the ideas produced from their seminal work led to powerful ideas and applications in related subjects: operator theory and ideas of Hilbert spaces were applied to physics in the early part of the twentieth century, and are now of fundamental importance …

Developing A B -Tagging Algorithm Using Soft Muons At Level-3 For The Dø Detector At Fermilab, Mayukh Das

Doctoral Dissertations

The current data-taking phase of the DØ detector at Fermilab, called Run II, is designed to aid the search for the Higgs Boson. The neutral Higgs is postulated to have a mass of 117 GeV. One of the channels promising the presence of this hypothetical particle is through the decay of b-quark into a muon. The process of identifying a b-quark in a jet using muon as a reference is b-tagging with a muon tag.

At the current data taking and analysis rate, it will take long to reach the process of identifying valid events. The triggering mechanism of the …

Differences In Teacher Qualifications And The Relationship To Middle School Student Achievement In Mathematics, Carrie R. Ferguson

Doctoral Dissertations

The purpose of the study was to compare mathematics teacher preparation and experience to the achievement of middle school students (grades 6–8) on the mathematics section of the Texas Assessment of Knowledge and Skills (TAKS). Using a theoretical framework, the research examined the extent to which the teacher qualification variables were related to the student achievement. Measures of teacher qualifications included four independent variables: (a) number of mathematics content hours, (b) level of teaching certification, (c) number of years teaching experience, and (d) number of years teaching middle school/junior high mathematics. Participants in this causal-comparative study included 97 teachers and …

Mathematics Discipline Senior Seminar Assessment Report 2004-2005, Mathematics Discipline

Assessment of Student Learning Reports

No abstract provided.

Noise Reduction In Time Series Data From Dynamical Systems., Richard Lyman Warr

Student Work

Introduction: The objective of this thesis is to determine if the amount of noise in the observed time series data has affected the outcome of the chaotic descriptors. To thoroughly analyzed this problem I will first introduce how the data was obtained, next how to find the chaotic descriptors, and then discuss and apply noise reduction techniques.

Using Teacher Instructional Time More Efficiently Through The Use Of Madminute Software: A Tool For Teaching Elementary Children Basic Mathematics Facts, Jeremy Tinsley

Master of Education Program Theses

Time constraints often force elementary mathematics teachers to teach only from the textbook and sacrifice conceptual, hands-on approaches to mathematics instruction. This study explores the potential time-saving benefits of using MadMinute computer software to teach elementary students basic mathematics facts. Data was collected by administering pretests and posttests to participating students, and through time logs kept by participating teachers. Results showed that teachers who used MadMinute software saved a mean of 20.4 minutes of instructional time per day, compared to teachers who used traditional methods of mathematics facts instruction. Students receiving traditional methods of instruction had higher levels of growth, …

Cryptographic And Combinatorial Properties Of Boolean Functions And S-Boxes., Kishan Chand Gupta Dr.

Doctoral Theses

In this thesis we study combinatorial aspects of Boolean functions and S-boxes with impor- tant cryptographic properties and construct new functions possesing such properties. These have possible applications in the design of private key (symmetric key) cryptosystems.Symmetric key cryptosystems are broadly divided into two classes.1. Stream Ciphers,2. Block Ciphers.Some recent proposals of stream ciphers are SNOW [37], SCREAM [52], TURING (98], MUGI (117), HBB (102], RABBIT (9), HELIX (38] and some proposals of block ciphers are DES, AES, RC6 [97), MARS (12], SERPENT (6], TWOFISH (104].In stream cipher cryptography a pseudorandom sequence of bits of length cqual to the message …