Structure Sense in High School Algebra: The Effect of Brackets
Hoch, Maureen; Dreyfus, Tommy
2005-01-01
This paper presents an initial attempt to define structure sense for high school algebra and to test part of this definition. A questionnaire was distributed to 92 eleventh grade students in order to identify those who use structure sense. Presence and absence of brackets was examined to see how they affect use of structure sense. The overall use…
Learning algebra through MCREST strategy in junior high school students
Siregar, Nurfadilah; Kusumah, Yaya S.; Sabandar, J.; Dahlan, J. A.
2017-09-01
The aims of this paper are to describe the use of MCREST strategy in learning algebra and to obtain empirical evidence on the effect of MCREST strategy es specially on reasoning ability. Students in eight grade in one of schools at Cimahi City are chosen as the sample of this study. Using pre-test and post-test control group design, the data then analyzed in descriptive and inferential statistics. The results of this study show the students who got MCREST strategy in their class have better result in test of reasoning ability than students who got direct learning. It means that MCREST strategy gives good impact in learning algebra.
Underprepared Students' Performance on Algebra in a Double-Period High School Mathematics Program
Martinez, Mara V.; Bragelman, John; Stoelinga, Timothy
2016-01-01
The primary goal of the Intensified Algebra I (IA) program is to enable mathematically underprepared students to successfully complete Algebra I in 9th grade and stay on track to meet increasingly rigorous high school mathematics graduation requirements. The program was designed to bring a range of both cognitive and non-cognitive supports to bear…
Mathematics Achievement with Digital Game-Based Learning in High School Algebra 1 Classes
Ferguson, Terri Lynn Kurley
2014-01-01
This study examined the impact of digital game-based learning (DGBL) on mathematics achievement in a rural high school setting in North Carolina. A causal comparative research design was used in this study to collect data to determine the effectiveness of DGBL in high school Algebra 1 classes. Data were collected from the North Carolina…
The structure of algebraic problem in high schools
Chio, José Angel; Álvarez, Aida; Estrada, Pablo
2010-01-01
The paper is aimed at discussing the importance of pupil’s knowledge of algebraic problem structure. The research started by diagnosing pupil’s actual command of algebraic problem structure. Finally suggestions to teachers of mathematics for facing difficulties in solving problems are given.
The structure of algebraic problem in high schools
Directory of Open Access Journals (Sweden)
Chio, José Angel
2010-01-01
Full Text Available The paper is aimed at discussing the importance of pupil’s knowledge of algebraic problem structure. The research started by diagnosing pupil’s actual command of algebraic problem structure. Finally suggestions to teachers of mathematics for facing difficulties in solving problems are given.
The Effect of Using Microsoft Excel in a High School Algebra Class
Neurath, Rachel A.; Stephens, Larry J.
2006-01-01
The purpose of this study was to investigate the effect of integrating Microsoft Excel into a high school algebra class. The results indicate a slight increase in student achievement when Excel was used. A teacher-created final exam and two Criterion Referenced Tests measured success. One of the Criterion Referenced Tests indicated that the…
Lowery, Lillian Margretta
2003-01-01
Instructional Strategies and Practices Used to Enhance Student Success in the High School Algebra I Inclusive Classroom Lillian M. Lowery Dr. Jean B. Crockett, Chair (ABSTRACT) The purpose of this qualitative study was to examine the instructional conditions and practices described as successful for teachers in the Algebra I inclusive classroom. In the southeastern suburban school district used for this study, students who began their freshman year of high school in fiscal y...
Chiado, Wendy S.
2012-01-01
Too many of our nation's youth have failed to complete high school. Determining why so many of our nation's students fail to graduate is a complex, multi-faceted problem and beyond the scope of any one study. The study presented herein utilized a thirteen-step mixed methods model developed by Leech and Onwuegbuzie (2007) to demonstrate within a…
Allen, Frank B.; And Others
This is part two of a three-part SMSG algebra text for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include addition and multiplication of real numbers, subtraction and division…
Allen, Frank B.; And Others
This is the student text for part one of a three-part SMSG algebra course for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include congruence; numbers and variables; operations;…
Allen, Frank B.; And Others
This is the teacher's commentary for part one of a three-part SMSG algebra text for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include congruence; numbers and variables;…
Allen, Frank B.; And Others
This is the teacher's commentary for part two of a three-part SMSG algebra text for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include addition and multiplication of real…
Abstract Algebra for Algebra Teaching: Influencing School Mathematics Instruction
Wasserman, Nicholas H.
2016-01-01
This article explores the potential for aspects of abstract algebra to be influential for the teaching of school algebra (and early algebra). Using national standards for analysis, four primary areas common in school mathematics--and their progression across elementary, middle, and secondary mathematics--where teaching may be transformed by…
Hardiani, N.; Budayasa, I. K.; Juniati, D.
2018-01-01
The aim of this study was to describe algebraic thinking of high school female student’s field independent cognitive style in solving linier program problem by revealing deeply the female students’ responses. Subjects in this study were 7 female students having field independent cognitive style in class 11. The type of this research was descriptive qualitative. The method of data collection used was observation, documentation, and interview. Data analysis technique was by reduction, presentation, and conclusion. The results of this study showed that the female students with field independent cognitive style in solving the linier program problem had the ability to represent algebraic ideas from the narrative question that had been read by manipulating symbols and variables presented in tabular form, creating and building mathematical models in two variables linear inequality system which represented algebraic ideas, and interpreting the solutions as variables obtained from the point of intersection in the solution area to obtain maximum benefit.
Stoker, Ginger; Mellor, Lynn; Sullivan, Kate
2018-01-01
This study examines Algebra II completion and failure rates for students entering Texas public high schools from 2007/08 through 2014/15. This period spans the time when Texas students, beginning with the 2007/08 grade 9 cohort, were required to take four courses each in English, math (including Algebra II), science, and social studies (called the…
Abstract Algebra to Secondary School Algebra: Building Bridges
Christy, Donna; Sparks, Rebecca
2015-01-01
The authors have experience with secondary mathematics teacher candidates struggling to make connections between the theoretical abstract algebra course they take as college students and the algebra they will be teaching in secondary schools. As a mathematician and a mathematics educator, the authors collaborated to create and implement a…
Store, Jessie Chitsanzo
2012-01-01
There is ample literature documenting that, for many decades, high school students view algebra as difficult and do not demonstrate understanding of algebraic concepts. Algebraic reasoning in elementary school aims at meaningfully introducing algebra to elementary school students in preparation for higher-level mathematics. While there is research…
Directory of Open Access Journals (Sweden)
Silvia Teresinha Frizzarini
2014-06-01
Full Text Available There are few researches with deeper reflections on the study of algebra with deaf students. In order to validate and disseminate educational activities in that context, this article aims at highlighting the deaf students’ prior knowledge, fluent in Brazilian Sign Language, referring to the algebraic language used in high school. The theoretical framework used was Duval’s theory, with analysis of the changes, by treatment and conversion, of different registers of semiotic representation, in particular inequalities. The methodology used was the application of a diagnostic evaluation performed with deaf students, all fluent in Brazilian Sign Language, in a special school located in the north of Paraná State. We emphasize the need to work in both directions of conversion, in different languages, especially when the starting record is the graphic. Therefore, the conclusion reached was that one should not separate the algebraic representation from other records, due to the need of sign language perform not only the communication function, but also the functions of objectification and treatment, fundamental in cognitive development.
Completing Algebra II in High School: Does It Increase College Access and Success?
Kim, Jeongeun; Kim, Jiyun; DesJardins, Stephen L.; McCall, Brian P.
2015-01-01
Noting the benefits of mathematics in students' future educational attainment and labor market success, there is considerable interest in high school requirements in terms of course-taking in mathematics at the national, state, and school district level. Previous research indicates that taking advanced math courses in high school leads to positive…
Algebraic Thinking: Conceptions of Elementary School Teachers
Rodrigues Rézio, Ana Sofia
2015-01-01
Students’ algebraic reasoning, at the beginning of their schooling years, includes the development and promotion of functional thinking and the understanding of mathematical properties, which can be stimulated by solving problems. In the latest Portuguese Program for Mathematics Elementary Education, we do not see the topic Algebra in the first year of school although some other topics include objectives of algebraic nature. This fact showed the importance of research about the introduction o...
Application of Algebra Curriculum-Based Measurements for Decision Making in Middle and High School
Johnson, Evelyn S.; Galow, Patricia A.; Allenger, Robert
2013-01-01
This article reports the results of a study examining the utility of curriculum-based measurement (CBM) in algebra for predicting performance on a state math assessment and informing instructional placement decisions for students in seventh, eighth, and tenth grades. Students completed six Basic Skills algebra probes across different time…
Creating Realistic 3D Graphics with Excel at High School--Vector Algebra in Practice
Benacka, Jan
2015-01-01
The article presents the results of an experiment in which Excel applications that depict rotatable and sizable orthographic projection of simple 3D figures with face overlapping were developed with thirty gymnasium (high school) students of age 17-19 as an introduction to 3D computer graphics. A questionnaire survey was conducted to find out…
Cooperative Learning in the Advanced Algebra and Trigonometry Mathematics High School Classroom
Jozsa, Alison
2017-01-01
Over the past three decades, researchers have found cooperative learning to have positive effects on student achievement in various subject areas and levels in education. However, there are limited studies on the impact of cooperative learning on student achievement in the area of high school mathematics. This study examined the impact of…
Algebraic Geometry and Number Theory Summer School
Sarıoğlu, Celal; Soulé, Christophe; Zeytin, Ayberk
2017-01-01
This lecture notes volume presents significant contributions from the “Algebraic Geometry and Number Theory” Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014. It addresses subjects ranging from Arakelov geometry and Iwasawa theory to classical projective geometry, birational geometry and equivariant cohomology. Its main aim is to introduce these contemporary research topics to graduate students who plan to specialize in the area of algebraic geometry and/or number theory. All contributions combine main concepts and techniques with motivating examples and illustrative problems for the covered subjects. Naturally, the book will also be of interest to researchers working in algebraic geometry, number theory and related fields.
Analysis of Elementary School students’ algebraic perceptions and procedures
Directory of Open Access Journals (Sweden)
Sandra Mara Marasini
2012-12-01
Full Text Available This study aims to verify how students in elementary school see themselves in relation to mathematics and, at the same time, analyze the procedures used to solve algebraic tasks. These students in the 8th year of elementary school, and first and third years of high school, from two State schools in Passo Fundo/RS, answered a questionnaire about their own perceptions of the mathematics lessons, the subject mathematics and algebraic content. The analysis was based mainly on authors from the athematical education and the historic-cultural psychology areas. It was verifi ed that even among students who claimed to be happy with the idea of having mathematicsclasses several presented learning diffi culties regarding algebraic contents, revealed by the procedures employed. It was concluded that it is necessary to design proposals with didactic sequences, mathematically and pedagogically based, which can effi cientlyoptimize the appropriation of meaning from the concepts approached and their application in different situations.
Flower, Andrea; McKenna, John; Muething, Colin S; Bryant, Diane Pedrotty; Bryant, Brian R
2014-01-01
This study investigated the effects of the Good Behavior Game (GBG) on classwide off-task behavior in two ninth-grade basic algebra resource classes. Ten students with a variety of disabilities, in two classrooms, and their special education resource teacher participated in this study. A reversal design was employed, in which the special education teacher implemented GBG compared to typical practice-algebra readiness instruction. Results showed that classwide off-task behavior decreased in the GBG conditions compared to the baseline and reversal conditions. Fidelity measures indicated that the teacher implemented GBG with fidelity. Students and the teacher rated GBG favorably. Overall findings support the use of GBG for reducing classwide off-task behavior. Implications for practice and future research directions are presented.
Classical impurities associated to high rank algebras
Energy Technology Data Exchange (ETDEWEB)
Doikou, Anastasia, E-mail: A.Doikou@hw.ac.uk [Department of Mathematics, Heriot–Watt University, EH14 4AS, Edinburgh (United Kingdom); Department of Computer Engineering and Informatics, University of Patras, Patras GR-26500 (Greece)
2014-07-15
Classical integrable impurities associated with high rank (gl{sub N}) algebras are investigated. A particular prototype, i.e. the vector non-linear Schrödinger (NLS) model, is chosen as an example. A systematic construction of local integrals of motion as well as the time components of the corresponding Lax pairs is presented based on the underlying classical algebra. Suitable gluing conditions compatible with integrability are also extracted. The defect contribution is also examined in the case where non-trivial integrable conditions are implemented. It turns out that the integrable boundaries may drastically alter the bulk behavior, and in particular the defect contribution.
Classical impurities associated to high rank algebras
International Nuclear Information System (INIS)
Doikou, Anastasia
2014-01-01
Classical integrable impurities associated with high rank (gl N ) algebras are investigated. A particular prototype, i.e. the vector non-linear Schrödinger (NLS) model, is chosen as an example. A systematic construction of local integrals of motion as well as the time components of the corresponding Lax pairs is presented based on the underlying classical algebra. Suitable gluing conditions compatible with integrability are also extracted. The defect contribution is also examined in the case where non-trivial integrable conditions are implemented. It turns out that the integrable boundaries may drastically alter the bulk behavior, and in particular the defect contribution
Tabak, John
2004-01-01
Looking closely at algebra, its historical development, and its many useful applications, Algebra examines in detail the question of why this type of math is so important that it arose in different cultures at different times. The book also discusses the relationship between algebra and geometry, shows the progress of thought throughout the centuries, and offers biographical data on the key figures. Concise and comprehensive text accompanied by many illustrations presents the ideas and historical development of algebra, showcasing the relevance and evolution of this branch of mathematics.
Mathematica empowered applets for learning school algebra and calculus
Heck, A.; Boon, P.; van Velthoven, W.
2008-01-01
We describe the development and use of Mathematica empowered applets for learning and practising algebra and calculus at secondary school level. We discuss how Mathematica can be used as back engine to evaluate students' answers and provide appropriate feedback. These applets provide scoring
Dougherty, Shaun M.; Goodman, Joshua S.; Hill, Darryl V.; Litke, Erica G.; Page, Lindsay C.
2015-01-01
Taking algebra by eighth grade is considered an important milestone on the pathway to college readiness. We highlight a collaboration to investigate one district's effort to increase middle school algebra course-taking. In 2010, the Wake County Public Schools began assigning middle school students to accelerated math and eighth-grade algebra based…
Flanders, Harley
1975-01-01
Algebra presents the essentials of algebra with some applications. The emphasis is on practical skills, problem solving, and computational techniques. Topics covered range from equations and inequalities to functions and graphs, polynomial and rational functions, and exponentials and logarithms. Trigonometric functions and complex numbers are also considered, together with exponentials and logarithms.Comprised of eight chapters, this book begins with a discussion on the fundamentals of algebra, each topic explained, illustrated, and accompanied by an ample set of exercises. The proper use of a
Pedersen, Ida Friestad
2015-01-01
Algebra is the fundamental language of mathematics, and a profound understanding of school algebra is an important prerequisite for further studies in mathematical sciences. The aim of this study is to characterize the algebraic competence of the Norwegian upper secondary school students participating in Trends in International Mathematics and…
Highly Undecidable Questions for Process Algebras
DEFF Research Database (Denmark)
Srba, Jiri; Jancar, Petr
2004-01-01
We show Sigma^1_1-completeness of weak bisimilarity for PA (process algebra), and of wek simulation preorder/equivalence for PDA (pushdown automata), PA and PN (Petri nets). We also show Pi^1_1-hardness of weak omega-trace equivalence for the sub(classes) of BPA (basic process algebra) and BPP...
Linking geometry and algebra in the school mathematics curriculum
Jones, Keith
2010-01-01
This chapter focuses on the linking of geometry and algebra in the teaching and learning of mathematics - and how, through such linking, the mathematics curriculum might be strengthened. Through reviewing the case of the school mathematics curriculum in England, together with examples of how the power of geometry can bring contemporary mathematics to life in the classroom, the chapter argues for greater concinnity in the mathematics curriculum, especially in terms of the harmonious/purposeful...
Sepanski, Mark R
2010-01-01
Mark Sepanski's Algebra is a readable introduction to the delightful world of modern algebra. Beginning with concrete examples from the study of integers and modular arithmetic, the text steadily familiarizes the reader with greater levels of abstraction as it moves through the study of groups, rings, and fields. The book is equipped with over 750 exercises suitable for many levels of student ability. There are standard problems, as well as challenging exercises, that introduce students to topics not normally covered in a first course. Difficult problems are broken into manageable subproblems
High performance linear algebra algorithms: An introduction
DEFF Research Database (Denmark)
Gustavson, F.G.; Wasniewski, Jerzy
2006-01-01
his Mini-Symposium consisted of two back to back sessions, each consisting of five presentations, held on the afternoon of Monday, June 21, 2004. A major theme of both sessions was novel data structures for the matrices of dense linear algebra, DLA. Talks one to four of session one all centered...
Lopes, Manuel J.
2017-01-01
At a time of persistent unemployment, especially among the less skilled, many wonder whether our schools are adequately preparing students for the 21st-century global economy. Despite above average employment rates, firms are experiencing shortages of educated workers, outsourcing professional-level work to workers abroad, and competing for the…
University of Chicago School Mathematics Project (UCSMP) Algebra. WWC Intervention Report
What Works Clearinghouse, 2009
2009-01-01
University of Chicago School Mathematics Project (UCSMP) Algebra is a one-year course covering three primary topics: (1) linear and quadratic expressions, sentences, and functions; (2) exponential expressions and functions; and (3) linear systems. Topics from geometry, probability, and statistics are integrated with the appropriate algebra.…
Directory of Open Access Journals (Sweden)
Teresa K. Dunleavy
2018-04-01
Full Text Available This article continues to challenge the robust myth that mathematical smartness is exemplified in individuals who consistently complete mathematics problems quickly and accurately. In so doing, I present a set of counterstories from three students in one ninth-grade Algebra 1 classroom. These students described transformative experiences in their perceptions of mathematical smartness. Analysis of interviews revealed four themes about their perceptions of mathematical smartness, including: (1 consistently and unapologetically affording time and space to value multiple solution strategies, (2 belief in mathematical justification and explanation as the goal for demonstrating mastery of mathematical content, (3 valuing mathematically valid ideas from all class members, and (4 valuing collaborative problem solving as a way to help group members, distribute mathematical knowledge and orient students toward learning with one another. I found that their interpretations of mathematical smartness are counter to the still-dominant myths around speed and accuracy. While the four themes that emerged have been previously studied in the frame of teacher practices, this research provides needed additional empirical evidence of students’ voices describing what mathematical smartness can and should look like.
Playa: High-Performance Programmable Linear Algebra
Directory of Open Access Journals (Sweden)
Victoria E. Howle
2012-01-01
Full Text Available This paper introduces Playa, a high-level user interface layer for composing algorithms for complex multiphysics problems out of objects from other Trilinos packages. Among other features, Playa provides very high-performance overloaded operators implemented through an expression template mechanism. In this paper, we give an overview of the central Playa objects from a user's perspective, show application to a sequence of increasingly complex solver algorithms, provide timing results for Playa's overloaded operators and other functions, and briefly survey some of the implementation issues involved.
Teaching Strategies to Improve Algebra Learning
Zbiek, Rose Mary; Larson, Matthew R.
2015-01-01
Improving student learning is the primary goal of every teacher of algebra. Teachers seek strategies to help all students learn important algebra content and develop mathematical practices. The new Institute of Education Sciences[IES] practice guide, "Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students"…
Determining the Numeracy and Algebra Errors of Students in a Two-Year Vocational School
Akyüz, Gözde
2015-01-01
The goal of this study was to determine the mathematics achievement level in basic numeracy and algebra concepts of students in a two-year program in a technical vocational school of higher education and determine the errors that they make in these topics. The researcher developed a diagnostic mathematics achievement test related to numeracy and…
Upper Primary School Teachers' Mathematical Knowledge for Teaching Functional Thinking in Algebra
Wilkie, Karina J.
2014-01-01
This article is based on a project that investigated teachers' knowledge in teaching an important aspect of algebra in the middle years of schooling--functions, relations and joint variation. As part of the project, 105 upper primary teachers were surveyed during their participation in Contemporary Teaching and Learning of Mathematics, a research…
Steele, Marcee M.
2010-01-01
This article reviews characteristics of high school students with learning disabilities and presents instructional modifications and study skills to help them succeed in algebra and geometry courses and on high stakes mathematics assessments.
Early Predictors of High School Mathematics Achievement
Siegler, Robert S.; Duncan, Greg J.; Davis-Kean, Pamela E.; Duckworth, Kathryn; Claessens, Amy; Engel, Mimi; Susperreguy, Maria Ines; Meichu, Chen
2012-01-01
Identifying the types of mathematics content knowledge that are most predictive of students' long-term learning is essential for improving both theories of mathematical development and mathematics education. To identify these types of knowledge, we examined long-term predictors of high school students' knowledge of algebra and overall mathematics…
Studies in Mathematics, Volume X. Applied Mathematics in the High School.
Schiffer, Max M.
This publication contains a sequence of lectures given to high school mathematics teachers by the author. Applications of mathematics emphasized are elementary algebra, geometry, and matrix algebra. Included are: (1) an introduction concerning teaching applications of mathematics; (2) Chapter 1: Mechanics for the High School Student; (3) Chapter…
Standardized Testing Placement and High School GPA as Predictors of Success in Remedial Math
Burrow, Susan C.
2013-01-01
The purpose of this quantitative study was to determine if a relationship existed between success in elementary algebra and a set of predictor variables including COMPASS score and high school GPA. Relationships for intermediate algebra and college credit accumulation over three semesters were also examined with COMPASS score and high school GPA…
Nurhayati, D. M.; Herman, T.; Suhendra, S.
2017-09-01
This study aims to determine the difficulties of algebraic thinking ability of students in one of secondary school on quadrilateral subject and to describe Math-Talk Learning Community as the alternative way that can be done to overcome the difficulties of the students’ algebraic thinking ability. Research conducted by using quantitative approach with descriptive method. The population in this research was all students of that school and twenty three students as the sample that was chosen by purposive sampling technique. Data of algebraic thinking were collected through essay test. The results showed the percentage of achievement of students’ algebraic thinking’s indicators on three aspects: a) algebra as generalized arithmetic with the indicators (conceptually based computational strategies and estimation); b) algebra as the language of mathematics (meaning of variables, variable expressions and meaning of solution); c) algebra as a tool for functions and mathematical modelling (representing mathematical ideas using equations, tables, or words and generalizing patterns and rules in real-world contexts) is still low. It is predicted that because the secondary school students was not familiar with the abstract problem and they are still at a semi-concrete stage where the stage of cognitive development is between concrete and abstract. Based on the percentage achievement of each indicators, it can be concluded that the level of achievement of student’s mathematical communication using conventional learning is still low, so students’ algebraic thinking ability need to be improved.
Early predictors of high school mathematics achievement.
Siegler, Robert S; Duncan, Greg J; Davis-Kean, Pamela E; Duckworth, Kathryn; Claessens, Amy; Engel, Mimi; Susperreguy, Maria Ines; Chen, Meichu
2012-07-01
Identifying the types of mathematics content knowledge that are most predictive of students' long-term learning is essential for improving both theories of mathematical development and mathematics education. To identify these types of knowledge, we examined long-term predictors of high school students' knowledge of algebra and overall mathematics achievement. Analyses of large, nationally representative, longitudinal data sets from the United States and the United Kingdom revealed that elementary school students' knowledge of fractions and of division uniquely predicts those students' knowledge of algebra and overall mathematics achievement in high school, 5 or 6 years later, even after statistically controlling for other types of mathematical knowledge, general intellectual ability, working memory, and family income and education. Implications of these findings for understanding and improving mathematics learning are discussed.
Thinking Visually about Algebra
Baroudi, Ziad
2015-01-01
Many introductions to algebra in high school begin with teaching students to generalise linear numerical patterns. This article argues that this approach needs to be changed so that students encounter variables in the context of modelling visual patterns so that the variables have a meaning. The article presents sample classroom activities,…
Alexander, John W., Jr.; Rosenberg, Nancy S.
This document consists of two modules. The first of these views applications of algebra and elementary calculus to curve fitting. The user is provided with information on how to: 1) construct scatter diagrams; 2) choose an appropriate function to fit specific data; 3) understand the underlying theory of least squares; 4) use a computer program to…
Tidd, Simon T.; Stoelinga, Timothy M.; Bush-Richards, Angela M.; De Sena, Donna L.; Dwyer, Theodore J.
2018-01-01
Double-block instruction has become a popular strategy for supporting struggling mathematics students in algebra I. Despite its widespread adoption, little consistent evidence supports the attributes of a successful double-block design or the effectiveness of this instructional strategy. In this study, the authors examine a pilot implementation of…
Journalism Beyond High School.
Turner, Sally
2001-01-01
Discusses the shift from high school journalism to college journalism for students. Describes the role of the high school journalism advisor in that process. Offers checklists for getting to know a college publication. Outlines ways high school journalism teachers can take advantage of journalism resources available at local colleges and…
Thompson, Brett A.
2004-01-01
Since its inception in 1997, Cisco's curriculum has entered thousands of high schools across the U.S. and around the world for two reasons: (1) Cisco has a large portion of the computer networking market, and thus has the resources for and interest in developing high school academies; and (2) high school curriculum development teams recognize the…
Dessoff, Alan
2011-01-01
For at-risk students who stand little chance of going to college, or even finishing high school, a growing number of districts have found a solution: Give them an early start in college while they still are in high school. The early college high school (ECHS) movement that began with funding from the Bill and Melinda Gates Foundation 10 years ago…
Learning to Apply Algebra in the Community for Adults with Intellectual Developmental Disabilities
Rodriguez, Anthony M.
2016-01-01
Students with intellectual and developmental disabilities (IDD) are routinely excluded from algebra and other high-level mathematics courses. High school students with IDD take courses in arithmetic and life skills rather than having an opportunity to learn algebra. Yet algebra skills can support the learning of money and budgeting skills. This…
Opening a Gateway to College Access: Algebra at the Right Time. Research Brief
Snipes, Jason; Finkelstein, Neal
2015-01-01
Four years of math in high school, with a strong foundation in algebra that builds from middle school, is key to higher education access. Therefore, ensuring that middle and high school students succeed in math--and in algebra in particular--is an important issue for policy and practice. This research brief examines three recent Regional…
Earnest, Darrell; Balti, Aadina A.
2008-01-01
Incorporating algebra into the elementary grades has become a focus for teachers, principals, and administrators across the country. The Dinner Tables problem described in this article is a lesson commonly used in elementary grades for its algebraic potential. Instructional strategies for supporting algebra instruction use an example from a…
Ltaief, Hatem; Luszczek, Piotr R.; Dongarra, Jack
2011-01-01
This paper presents the power profile of two high performance dense linear algebra libraries i.e., LAPACK and PLASMA. The former is based on block algorithms that use the fork-join paradigm to achieve parallel performance. The latter uses fine
A Proposed Algebra Assessment for Use in a Problem-Analysis Framework
Walick, Christopher M.; Burns, Matthew K.
2017-01-01
Algebra is critical to high school graduation and college success, but student achievement in algebra frequently falls significantly below expected proficiency levels. While existing research emphasizes the importance of quality algebra instruction, there is little research about how to conduct problem analysis for struggling secondary students.…
Morales-Chicas, Jessica; Agger, Charlotte
2017-01-01
In this article, the authors use the national High School Longitudinal Study of 2009 (HSLS:09) dataset to explore (a) if repeating algebra in the eighth grade was associated with overall mathematics grades and course-taking patterns by twelfth grade, (b) if repeating algebra in the eighth grade was associated with students' final grade in algebra,…
Levy, Alissa Beth
2012-01-01
The California Department of Education (CDE) has long asserted that success Algebra I by Grade 8 is the goal for all California public school students. In fact, the state's accountability system penalizes schools that do not require all of their students to take the Algebra I end-of-course examination by Grade 8 (CDE, 2009). In this dissertation,…
Perkins-Gough, Deborah
2005-01-01
Reports from national education organizations in the US indicate the sorry state of high schools in the country that are accused of failing to adequately prepare their graduates for college or for the workforce, highlighting what is a serious problem in light of the troubled state of the US economy. The need to improve high schools is urgent and…
High School Principals and the High School Journalism Program.
Peterson, Jane W.
A study asked selected high school principals to respond to statements about the value of high school journalism to the high school student and about the rights and responsibilities of the high school journalist. These responses were then checked against such information as whether or not the high school principal had worked on a high school…
Algebraic partial Boolean algebras
International Nuclear Information System (INIS)
Smith, Derek
2003-01-01
Partial Boolean algebras, first studied by Kochen and Specker in the 1960s, provide the structure for Bell-Kochen-Specker theorems which deny the existence of non-contextual hidden variable theories. In this paper, we study partial Boolean algebras which are 'algebraic' in the sense that their elements have coordinates in an algebraic number field. Several of these algebras have been discussed recently in a debate on the validity of Bell-Kochen-Specker theorems in the context of finite precision measurements. The main result of this paper is that every algebraic finitely-generated partial Boolean algebra B(T) is finite when the underlying space H is three-dimensional, answering a question of Kochen and showing that Conway and Kochen's infinite algebraic partial Boolean algebra has minimum dimension. This result contrasts the existence of an infinite (non-algebraic) B(T) generated by eight elements in an abstract orthomodular lattice of height 3. We then initiate a study of higher-dimensional algebraic partial Boolean algebras. First, we describe a restriction on the determinants of the elements of B(T) that are generated by a given set T. We then show that when the generating set T consists of the rays spanning the minimal vectors in a real irreducible root lattice, B(T) is infinite just if that root lattice has an A 5 sublattice. Finally, we characterize the rays of B(T) when T consists of the rays spanning the minimal vectors of the root lattice E 8
Lukasiewicz-Moisil Many-Valued Logic Algebra of Highly-Complex Systems
Directory of Open Access Journals (Sweden)
James F. Glazebrook
2010-06-01
Full Text Available The fundamentals of Lukasiewicz-Moisil logic algebras and their applications to complex genetic network dynamics and highly complex systems are presented in the context of a categorical ontology theory of levels, Medical Bioinformatics and self-organizing, highly complex systems. Quantum Automata were defined in refs.[2] and [3] as generalized, probabilistic automata with quantum state spaces [1]. Their next-state functions operate through transitions between quantum states defined by the quantum equations of motions in the SchrÄodinger representation, with both initial and boundary conditions in space-time. A new theorem is proven which states that the category of quantum automata and automata-homomorphisms has both limits and colimits. Therefore, both categories of quantum automata and classical automata (sequential machines are bicomplete. A second new theorem establishes that the standard automata category is a subcategory of the quantum automata category. The quantum automata category has a faithful representation in the category of Generalized (M,R-Systems which are open, dynamic biosystem networks [4] with de¯ned biological relations that represent physiological functions of primordial(s, single cells and the simpler organisms. A new category of quantum computers is also defined in terms of reversible quantum automata with quantum state spaces represented by topological groupoids that admit a local characterization through unique, quantum Lie algebroids. On the other hand, the category of n-Lukasiewicz algebras has a subcategory of centered n-Lukasiewicz algebras (as proven in ref. [2] which can be employed to design and construct subcategories of quantum automata based on n-Lukasiewicz diagrams of existing VLSI. Furthermore, as shown in ref. [2] the category of centered n-Lukasiewicz algebras and the category of Boolean algebras are naturally equivalent. A `no-go' conjecture is also proposed which states that Generalized (M
Algebra for Gifted Third Graders.
Borenson, Henry
1987-01-01
Elementary school children who are exposed to a concrete, hands-on experience in algebraic linear equations will more readily develop a positive mind-set and expectation for success in later formal, algebraic studies. (CB)
Fitzgerald, Marianne
2006-01-01
Many secondary students have given up the joy of reading. When asked why they don't read for pleasure, students came up with many different reasons, the first being lack of time. High school students are busy with after school jobs, sports, homework, etc. With the growing number of students enrolled in AP classes, not only is there not much time…
Green, Daniel G.
2012-01-01
Strapped for cash, a Massachusetts high school creates its own venture capital fund to incentivize teachers to create programs that improve student learning. The result has been higher test scores and higher job satisfaction. One important program is credited with helping close the achievement gap at the school, while others have helped ambitious…
The Path to College Calculus: The Impact of High School Mathematics Coursework
Sadler, Philip; Sonnert, Gerhard
2018-01-01
This study addresses a longstanding question among high school mathematics teachers and college mathematics professors: Which is the best preparation for college calculus-- (a) a high level of mastery of mathematics considered preparatory for calculus (algebra, geometry, precalculus) or (b) taking calculus itself in high school? We used a data set…
Khajarian, Seta
2011-01-01
Algebra is a branch in mathematics and taking Algebra in middle school is often a gateway to advanced courses in high school. The problem is that the United States and Lebanon had low scores in Algebra in the 2007 Trends in Mathematics and Sciences Study (TIMSS), an international assessment administered to 4th and 8th graders every 4 years. On the…
High order aberrations calculation of a hexapole corrector using a differential algebra method
Energy Technology Data Exchange (ETDEWEB)
Kang, Yongfeng, E-mail: yfkang@mail.xjtu.edu.cn [Key Laboratory for Physical Electronics and Devices of the Ministry of Education, Xi' an Jiaotong University, Xi' an 710049 (China); Liu, Xing [Key Laboratory for Physical Electronics and Devices of the Ministry of Education, Xi' an Jiaotong University, Xi' an 710049 (China); Zhao, Jingyi, E-mail: jingyi.zhao@foxmail.com [School of Science, Chang’an University, Xi’an 710064 (China); Tang, Tiantong [Key Laboratory for Physical Electronics and Devices of the Ministry of Education, Xi' an Jiaotong University, Xi' an 710049 (China)
2017-02-21
A differential algebraic (DA) method is proved as an unusual and effective tool in numerical analysis. It implements conveniently differentiation up to arbitrary high order, based on the nonstandard analysis. In this paper, the differential algebra (DA) method has been employed to compute the high order aberrations up to the fifth order of a practical hexapole corrector including round lenses and hexapole lenses. The program has been developed and tested as well. The electro-magnetic fields of arbitrary point are obtained by local analytic expressions, then field potentials are transformed into new forms which can be operated in the DA calculation. In this paper, the geometric and chromatic aberrations up to fifth order of a practical hexapole corrector system are calculated by the developed program.
Primary School Students' Strategies in Early Algebra Problem Solving Supported by an Online Game
van den Heuvel-Panhuizen, Marja; Kolovou, Angeliki; Robitzsch, Alexander
2013-01-01
In this study we investigated the role of a dynamic online game on students' early algebra problem solving. In total 253 students from grades 4, 5, and 6 (10-12 years old) used the game at home to solve a sequence of early algebra problems consisting of contextual problems addressing covarying quantities. Special software monitored the…
Usman, Ahmed Ibrahim
2015-01-01
Knowledge and understanding of mathematical operations serves as a pre-reequisite for the successful translation of algebraic word problems. This study explored pre-service teachers' ability to recognize mathematical operations as well as use of those capabilities in constructing algebraic expressions, equations, and their solutions. The outcome…
Primary school students’ strategies in early algebra problem solving supported by an online game
van den Heuvel-Panhuizen, M.H.A.M; Kolovou, A.; Robitzsch, A.
2013-01-01
In this study we investigated the role of a dynamic online game on students’ early algebra problem solving. In total 253 students from grades 4, 5, and 6 (10–12 years old) used the game at home to solve a sequence of early algebra problems consisting of contextual problems addressing covarying
The Aftermath of Accelerating Algebra: Evidence from District Policy Initiatives
Clotfelter, Charles T.; Ladd, Helen F.; Vigdor, Jacob L.
2014-01-01
In 2008, the California State Board of Education voted to require all students to enroll in algebra by 8th grade. This policy initiative, yet to be actually implemented, represents the culmination of a decades-long movement toward offering algebra instruction before the traditional high school years. Nationally, the proportion of 8th grade…
Algebraic Generalization Strategies Used by Kuwaiti Pre-Service Teachers
Alajmi, Amal Hussain
2016-01-01
This study reports on the algebraic generalization strategies used by elementary and middle/high school pre-service mathematics teachers in Kuwait. They were presented with 9 tasks that involved linear, exponential, and quadratic situations. The results showed that these pre-service teachers had difficulty in generalizing algebraic rules in all 3…
Operator algebras and topology
International Nuclear Information System (INIS)
Schick, T.
2002-01-01
These notes, based on three lectures on operator algebras and topology at the 'School on High Dimensional Manifold Theory' at the ICTP in Trieste, introduce a new set of tools to high dimensional manifold theory, namely techniques coming from the theory of operator algebras, in particular C*-algebras. These are extensively studied in their own right. We will focus on the basic definitions and properties, and on their relevance to the geometry and topology of manifolds. A central pillar of work in the theory of C*-algebras is the Baum-Connes conjecture. This is an isomorphism conjecture, as discussed in the talks of Luck, but with a certain special flavor. Nevertheless, it has important direct applications to the topology of manifolds, it implies e.g. the Novikov conjecture. In the first chapter, the Baum-Connes conjecture will be explained and put into our context. Another application of the Baum-Connes conjecture is to the positive scalar curvature question. This will be discussed by Stephan Stolz. It implies the so-called 'stable Gromov-Lawson-Rosenberg conjecture'. The unstable version of this conjecture said that, given a closed spin manifold M, a certain obstruction, living in a certain (topological) K-theory group, vanishes if and only M admits a Riemannian metric with positive scalar curvature. It turns out that this is wrong, and counterexamples will be presented in the second chapter. The third chapter introduces another set of invariants, also using operator algebra techniques, namely L 2 -cohomology, L 2 -Betti numbers and other L 2 -invariants. These invariants, their basic properties, and the central questions about them, are introduced in the third chapter. (author)
DEFF Research Database (Denmark)
Sørensen, Matias
on the publicly available XHSTT format for modeling instances and solutions of the HSTP) and the Danish High School Timetabling Problem (DHSTP). For both problems a complex Mixed-Integer Programming (MIP) model is developed, and in both cases are empirical tests performed on a large number of real-life datasets......High school institutions face a number of important planning problems during each schoolyear. This Ph.D. thesis considers two of these planning problems: The High School Timetabling Problem (HSTP) and the Consultation Timetabling Problem (CTP). Furthermore a framework for handling various planning....... The second part contains the main scienti_c papers composed during the Ph.D. study. The third part of the thesis also contains scienti_c papers, but these are included as an appendix. In the HSTP, the goal is to obtain a timetable for the forthcoming school-year. A timetable consists of lectures scheduled...
A high-speed linear algebra library with automatic parallelism
Boucher, Michael L.
1994-01-01
Parallel or distributed processing is key to getting highest performance workstations. However, designing and implementing efficient parallel algorithms is difficult and error-prone. It is even more difficult to write code that is both portable to and efficient on many different computers. Finally, it is harder still to satisfy the above requirements and include the reliability and ease of use required of commercial software intended for use in a production environment. As a result, the application of parallel processing technology to commercial software has been extremely small even though there are numerous computationally demanding programs that would significantly benefit from application of parallel processing. This paper describes DSSLIB, which is a library of subroutines that perform many of the time-consuming computations in engineering and scientific software. DSSLIB combines the high efficiency and speed of parallel computation with a serial programming model that eliminates many undesirable side-effects of typical parallel code. The result is a simple way to incorporate the power of parallel processing into commercial software without compromising maintainability, reliability, or ease of use. This gives significant advantages over less powerful non-parallel entries in the market.
Lefschetz, Solomon
2005-01-01
An introduction to algebraic geometry and a bridge between its analytical-topological and algebraical aspects, this text for advanced undergraduate students is particularly relevant to those more familiar with analysis than algebra. 1953 edition.
International Nuclear Information System (INIS)
Garcia, R.L.
1983-11-01
The Grassmann algebra is presented briefly. Exponential and logarithm of matrices functions, whose elements belong to this algebra, are studied with the help of the SCHOONSCHIP and REDUCE 2 algebraic manipulators. (Author) [pt
2nd EACA International School on Computer Algebra and its Applications
Gimenez, Philippe; Sáenz-de-Cabezón, Eduardo
2017-01-01
Featuring up-to-date coverage of three topics lying at the intersection of combinatorics and commutative algebra, namely Koszul algebras, primary decompositions and subdivision operations in simplicial complexes, this book has its focus on computations. "Computations and combinatorics in commutative algebra" has been written by experts in both theoretical and computational aspects of these three subjects and is aimed at a broad audience, from experienced researchers who want to have an easy but deep review of the topics covered to postgraduate students who need a quick introduction to the techniques. The computational treatment of the material, including plenty of examples and code, will be useful for a wide range of professionals interested in the connections between commutative algebra and combinatorics.
Ardiç, Mehmet Alper; Isleyen, Tevfik
2017-01-01
The purpose of this study is to determine the levels of high school mathematics teachers in achieving mathematics instruction via computer algebra systems and the reflections of these practices in the classroom. Three high school mathematics teachers employed at different types of school participated in the study. In the beginning of this…
Directory of Open Access Journals (Sweden)
Carmen P. Mombourquette
2013-04-01
Full Text Available September 2010 witnessed the opening of the first complete dual campus high school in Alberta. Catholic Central High School, which had been in existence since 1967 in one building, now offered courses to students on two campuses. The “dual campus” philosophy was adopted so as to ensure maximum program flexibility for students. The philosophy, however, was destined to affect student engagement and staff efficacy as the change in organizational structure, campus locations, and course availability was dramatic. Changing school organizational structure also had the potential of affecting student achievement. A mixed-methods study utilizing engagement surveys, efficacy scales, and interviews with students and teachers was used to ascertain the degree of impact. The results of the study showed that minimal impact occurred to levels of student engagement, minor negative impact to staff efficacy, and a slight increase to student achievement results.
Gavrilovic, Daniel Miodrag
2013-01-01
The No Child Left Behind Act of 2001 has put many schools under a lot of pressure to meet its high demands. In this quantitative study, the effects that the NCLB act has had on students' opportunity to learn (OTL) and Subject Level Success (SS) from 2004 to 2012 in 9th, 10th, and 11th grade math coursework (Algebra 1, Geometry, Algebra 2, and…
Reshaping High School English.
Pirie, Bruce
This book takes up the question of what shape high school English studies should take in the coming years. It describes an English program that blends philosophical depth with classroom practicality. Drawing examples from commonly taught texts such as "Macbeth,""To Kill a Mockingbird," and "Lord of the Flies," the…
Vertex algebras and algebraic curves
Frenkel, Edward
2004-01-01
Vertex algebras are algebraic objects that encapsulate the concept of operator product expansion from two-dimensional conformal field theory. Vertex algebras are fast becoming ubiquitous in many areas of modern mathematics, with applications to representation theory, algebraic geometry, the theory of finite groups, modular functions, topology, integrable systems, and combinatorics. This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves. The notion of a vertex algebra is introduced in a coordinate-independent way, so that vertex operators become well defined on arbitrary smooth algebraic curves, possibly equipped with additional data, such as a vector bundle. Vertex algebras then appear as the algebraic objects encoding the geometric structure of various moduli spaces associated with algebraic curves. Therefore they may be used to give a geometric interpretation of various questions of representation theory. The book co...
African Journals Online (AJOL)
Tadesse
In this paper we introduce the concept of implicative algebras which is an equivalent definition of lattice implication algebra of Xu (1993) and further we prove that it is a regular Autometrized. Algebra. Further we remark that the binary operation → on lattice implicative algebra can never be associative. Key words: Implicative ...
Villarreal, Rafael
2015-01-01
The book stresses the interplay between several areas of pure and applied mathematics, emphasizing the central role of monomial algebras. It unifies the classical results of commutative algebra with central results and notions from graph theory, combinatorics, linear algebra, integer programming, and combinatorial optimization. The book introduces various methods to study monomial algebras and their presentation ideals, including Stanley-Reisner rings, subrings and blowup algebra-emphasizing square free quadratics, hypergraph clutters, and effective computational methods.
Polishchuk, Alexander
2005-01-01
Quadratic algebras, i.e., algebras defined by quadratic relations, often occur in various areas of mathematics. One of the main problems in the study of these (and similarly defined) algebras is how to control their size. A central notion in solving this problem is the notion of a Koszul algebra, which was introduced in 1970 by S. Priddy and then appeared in many areas of mathematics, such as algebraic geometry, representation theory, noncommutative geometry, K-theory, number theory, and noncommutative linear algebra. The book offers a coherent exposition of the theory of quadratic and Koszul algebras, including various definitions of Koszulness, duality theory, Poincar�-Birkhoff-Witt-type theorems for Koszul algebras, and the Koszul deformation principle. In the concluding chapter of the book, they explain a surprising connection between Koszul algebras and one-dependent discrete-time stochastic processes.
Sullivan, Patrick
2013-01-01
The purpose of this study is to examine the nature of what students notice about symbols and use as they solve unfamiliar algebra problems based on familiar algebra concepts and involving symbolic inscriptions. The researcher conducted a study of students at three levels of algebra exposure: (a) students enrolled in a high school pre-calculus…
Ainsworth, Jessica Marie
2016-01-01
Formative assessments have been deemed the key to effectively measuring if students have mastered the understanding of curriculum standards. Thus, allowing teachers to use the results to tailor remediation and use other efforts to support mastery of student learning before the end of the school year has positive effects on student achievement.…
Shafarevich, Igor Rostislavovich
2005-01-01
This book is wholeheartedly recommended to every student or user of mathematics. Although the author modestly describes his book as 'merely an attempt to talk about' algebra, he succeeds in writing an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields, commutative rings and groups studied in every university math course, through Lie groups and algebras to cohomology and category theory, the author shows how the origins of each algebraic concept can be related to attempts to model phenomena in physics or in other branches
School Uniforms in Urban Public High Schools
Draa, Virginia Ann Bendel
2005-01-01
The purpose of this study was to determine whether or not the implementation of a mandatory uniform policy in urban public high schools improved school performance measures at the building level for rates of attendance, graduation, academic proficiency, and student conduct as measured by rates of suspensions and expulsions. Sixty-four secondary…
Introducing Algebra through the Graphical Representation of Functions: A Study among LD Students
Sauriol, Jennifer
2013-01-01
This longitudinal study evaluates the impact of a new Algebra 1 course at a High School for language-based learning-disabled (LD) students. The new course prioritized the teaching of relationship graphs and functions as an introduction to algebra. Across three studies, the dissertation documents and evaluates the progress made by LD high school…
Goodstein, R L
2007-01-01
This elementary treatment by a distinguished mathematician employs Boolean algebra as a simple medium for introducing important concepts of modern algebra. Numerous examples appear throughout the text, plus full solutions.
Ltaief, Hatem
2011-08-31
This paper presents the power profile of two high performance dense linear algebra libraries i.e., LAPACK and PLASMA. The former is based on block algorithms that use the fork-join paradigm to achieve parallel performance. The latter uses fine-grained task parallelism that recasts the computation to operate on submatrices called tiles. In this way tile algorithms are formed. We show results from the power profiling of the most common routines, which permits us to clearly identify the different phases of the computations. This allows us to isolate the bottlenecks in terms of energy efficiency. Our results show that PLASMA surpasses LAPACK not only in terms of performance but also in terms of energy efficiency. © 2011 Springer-Verlag.
Gunnels, John; Lee, Jon; Margulies, Susan
2010-01-01
We provide a first demonstration of the idea that matrix-based algorithms for nonlinear combinatorial optimization problems can be efficiently implemented. Such algorithms were mainly conceived by theoretical computer scientists for proving efficiency. We are able to demonstrate the practicality of our approach by developing an implementation on a massively parallel architecture, and exploiting scalable and efficient parallel implementations of algorithms for ultra high-precision linear algebra. Additionally, we have delineated and implemented the necessary algorithmic and coding changes required in order to address problems several orders of magnitude larger, dealing with the limits of scalability from memory footprint, computational efficiency, reliability, and interconnect perspectives. © Springer and Mathematical Programming Society 2010.
Gunnels, John
2010-06-01
We provide a first demonstration of the idea that matrix-based algorithms for nonlinear combinatorial optimization problems can be efficiently implemented. Such algorithms were mainly conceived by theoretical computer scientists for proving efficiency. We are able to demonstrate the practicality of our approach by developing an implementation on a massively parallel architecture, and exploiting scalable and efficient parallel implementations of algorithms for ultra high-precision linear algebra. Additionally, we have delineated and implemented the necessary algorithmic and coding changes required in order to address problems several orders of magnitude larger, dealing with the limits of scalability from memory footprint, computational efficiency, reliability, and interconnect perspectives. © Springer and Mathematical Programming Society 2010.
A Linear Algebra Framework for Static High Performance Fortran Code Distribution
Directory of Open Access Journals (Sweden)
Corinne Ancourt
1997-01-01
Full Text Available High Performance Fortran (HPF was developed to support data parallel programming for single-instruction multiple-data (SIMD and multiple-instruction multiple-data (MIMD machines with distributed memory. The programmer is provided a familiar uniform logical address space and specifies the data distribution by directives. The compiler then exploits these directives to allocate arrays in the local memories, to assign computations to elementary processors, and to migrate data between processors when required. We show here that linear algebra is a powerful framework to encode HPF directives and to synthesize distributed code with space-efficient array allocation, tight loop bounds, and vectorized communications for INDEPENDENT loops. The generated code includes traditional optimizations such as guard elimination, message vectorization and aggregation, and overlap analysis. The systematic use of an affine framework makes it possible to prove the compilation scheme correct.
Loget, François
2011-01-01
Bernard Salignac and Lazare Schöner both published a treatise based on La Ramée's Algebra. Why did they endeavour to republish a book that their master had abandoned ? What changes did they make in the original ? They turned algebra into apedagogical discipline at a time when Ramism was making its presence felt in some Northern European educational establishments. Salignac took La Ramée's thoughts concerning the language of mathematics further and offered an original and precocious contribution to what I call the "scriptural turn" of mathematics at the end of the 16(th) century.
High-Order Automatic Differentiation of Unmodified Linear Algebra Routines via Nilpotent Matrices
Dunham, Benjamin Z.
This work presents a new automatic differentiation method, Nilpotent Matrix Differentiation (NMD), capable of propagating any order of mixed or univariate derivative through common linear algebra functions--most notably third-party sparse solvers and decomposition routines, in addition to basic matrix arithmetic operations and power series--without changing data-type or modifying code line by line; this allows differentiation across sequences of arbitrarily many such functions with minimal implementation effort. NMD works by enlarging the matrices and vectors passed to the routines, replacing each original scalar with a matrix block augmented by derivative data; these blocks are constructed with special sparsity structures, termed "stencils," each designed to be isomorphic to a particular multidimensional hypercomplex algebra. The algebras are in turn designed such that Taylor expansions of hypercomplex function evaluations are finite in length and thus exactly track derivatives without approximation error. Although this use of the method in the "forward mode" is unique in its own right, it is also possible to apply it to existing implementations of the (first-order) discrete adjoint method to find high-order derivatives with lowered cost complexity; for example, for a problem with N inputs and an adjoint solver whose cost is independent of N--i.e., O(1)--the N x N Hessian can be found in O(N) time, which is comparable to existing second-order adjoint methods that require far more problem-specific implementation effort. Higher derivatives are likewise less expensive--e.g., a N x N x N rank-three tensor can be found in O(N2). Alternatively, a Hessian-vector product can be found in O(1) time, which may open up many matrix-based simulations to a range of existing optimization or surrogate modeling approaches. As a final corollary in parallel to the NMD-adjoint hybrid method, the existing complex-step differentiation (CD) technique is also shown to be capable of
Jordan algebras versus C*- algebras
International Nuclear Information System (INIS)
Stormer, E.
1976-01-01
The axiomatic formulation of quantum mechanics and the problem of whether the observables form self-adjoint operators on a Hilbert space, are discussed. The relation between C*- algebras and Jordan algebras is studied using spectral theory. (P.D.)
International Nuclear Information System (INIS)
Calmet, J.
1982-01-01
A survey of applications based either on fundamental algorithms in computer algebra or on the use of a computer algebra system is presented. Recent work in biology, chemistry, physics, mathematics and computer science is discussed. In particular, applications in high energy physics (quantum electrodynamics), celestial mechanics and general relativity are reviewed. (Auth.)
Howard, Keith A.; Scott, Allison; Romero, Martin; Saddler, Derrick
2015-01-01
In this article, the authors use the High School Longitudinal Study 2009 (HSLS:09) national database to analyze the relationships between algebra failure, subsequent performance, motivation, and college readiness. Students who failed eighth-grade Algebra I did not differ significantly in mathematics proficiency from those who passed lower-level…
Teachers' Views about Multiple Strategies in Middle and High School Mathematics
Lynch, Kathleen; Star, Jon R.
2014-01-01
Despite extensive scholarship about the importance of teaching mathematics with multiple strategies in the elementary grades, there has been relatively little discussion of this practice in the middle and high school levels or in the context of introductory algebra. This article begins our exploration of this practice by addressing the following…
Grant, Melva R.
2014-01-01
The purpose of this study was to determine students' perspectives about productive peer culture (PPC) in general and for mathematics learning. The urban and rural high school students in this study have participated for at least one year in either an Algebra Project Cohort Model (APCM) for daily mathematics instruction and/or worked as mathematics…
Ford, Timothy J
2017-01-01
This book presents a comprehensive introduction to the theory of separable algebras over commutative rings. After a thorough introduction to the general theory, the fundamental roles played by separable algebras are explored. For example, Azumaya algebras, the henselization of local rings, and Galois theory are rigorously introduced and treated. Interwoven throughout these applications is the important notion of étale algebras. Essential connections are drawn between the theory of separable algebras and Morita theory, the theory of faithfully flat descent, cohomology, derivations, differentials, reflexive lattices, maximal orders, and class groups. The text is accessible to graduate students who have finished a first course in algebra, and it includes necessary foundational material, useful exercises, and many nontrivial examples.
Geometric Methods in the Algebraic Theory of Quadratic Forms : Summer School
2004-01-01
The geometric approach to the algebraic theory of quadratic forms is the study of projective quadrics over arbitrary fields. Function fields of quadrics have been central to the proofs of fundamental results since the renewal of the theory by Pfister in the 1960's. Recently, more refined geometric tools have been brought to bear on this topic, such as Chow groups and motives, and have produced remarkable advances on a number of outstanding problems. Several aspects of these new methods are addressed in this volume, which includes - an introduction to motives of quadrics by Alexander Vishik, with various applications, notably to the splitting patterns of quadratic forms under base field extensions; - papers by Oleg Izhboldin and Nikita Karpenko on Chow groups of quadrics and their stable birational equivalence, with application to the construction of fields which carry anisotropic quadratic forms of dimension 9, but none of higher dimension; - a contribution in French by Bruno Kahn which lays out a general fra...
High Productivity Programming of Dense Linear Algebra on Heterogeneous NUMA Architectures
Alomairy, Rabab M.
2013-07-01
High-end multicore systems with GPU-based accelerators are now ubiquitous in the hardware landscape. Besides dealing with the nontrivial heterogeneous environ- ment, end users should often take into consideration the underlying memory architec- ture to decrease the overhead of data motion, especially when running on non-uniform memory access (NUMA) platforms. We propose the OmpSs parallel programming model approach using its Nanos++ dynamic runtime system to solve the two challeng- ing problems aforementioned, through 1) an innovative NUMA node-aware scheduling policy to reduce data movement between NUMA nodes and 2) a nested parallelism feature to concurrently exploit the resources available from the GPU devices as well as the CPU host, without compromising the overall performance. Our approach fea- tures separation of concerns by abstracting the complexity of the hardware from the end users so that high productivity can be achieved. The Cholesky factorization is used as a benchmark representative of dense numerical linear algebra algorithms. Superior performance is also demonstrated on the symmetric matrix inversion based on Cholesky factorization, commonly used in co-variance computations in statistics. Performance on a NUMA system with Kepler-based GPUs exceeds that of existing implementations, while the OmpSs-enabled code remains very similar to its original sequential version.
Green accounts & day high schools
DEFF Research Database (Denmark)
Jørgensen, Michael Søgaard
1997-01-01
The arcticle presents the concept of green accounts and describes how it can be used in the daily work and the teaching at day high schools.......The arcticle presents the concept of green accounts and describes how it can be used in the daily work and the teaching at day high schools....
Stinchcombe, Arthur L.
The premise of this book is that high school rebellion is an "expression of alienation from socially present authorities." Such rebellion is a manifestation of "expressive alienation" and has the quality of hatred or sullenness. Rebellious high school students are likely to be non-utilitarian, negativistic, hedonistic, and to stress group…
International Nuclear Information System (INIS)
Littlefield, R.J.; Maschhoff, K.J.
1991-04-01
Many linear algebra algorithms utilize an array of processors across which matrices are distributed. Given a particular matrix size and a maximum number of processors, what configuration of processors, i.e., what size and shape array, will execute the fastest? The answer to this question depends on tradeoffs between load balancing, communication startup and transfer costs, and computational overhead. In this paper we analyze in detail one algorithm: the blocked factored Jacobi method for solving dense eigensystems. A performance model is developed to predict execution time as a function of the processor array and matrix sizes, plus the basic computation and communication speeds of the underlying computer system. In experiments on a large hypercube (up to 512 processors), this model has been found to be highly accurate (mean error ∼ 2%) over a wide range of matrix sizes (10 x 10 through 200 x 200) and processor counts (1 to 512). The model reveals, and direct experiment confirms, that the tradeoffs mentioned above can be surprisingly complex and counterintuitive. We propose decision procedures based directly on the performance model to choose configurations for fastest execution. The model-based decision procedures are compared to a heuristic strategy and shown to be significantly better. 7 refs., 8 figs., 1 tab
Unifying the Algebra for All Movement
Eddy, Colleen M.; Quebec Fuentes, Sarah; Ward, Elizabeth K.; Parker, Yolanda A.; Cooper, Sandi; Jasper, William A.; Mallam, Winifred A.; Sorto, M. Alejandra; Wilkerson, Trena L.
2015-01-01
There exists an increased focus on school mathematics, especially first-year algebra, due to recent efforts for all students to be college and career ready. In addition, there are calls, policies, and legislation advocating for all students to study algebra epitomized by four rationales of the "Algebra for All" movement. In light of this…
A Balancing Act: Making Sense of Algebra
Gavin, M. Katherine; Sheffield, Linda Jensen
2015-01-01
For most students, algebra seems like a totally different subject than the number topics they studied in elementary school. In reality, the procedures followed in arithmetic are actually based on the properties and laws of algebra. Algebra should be a logical next step for students in extending the proficiencies they developed with number topics…
Build an Early Foundation for Algebra Success
Knuth, Eric; Stephens, Ana; Blanton, Maria; Gardiner, Angela
2016-01-01
Research tells us that success in algebra is a factor in many other important student outcomes. Emerging research also suggests that students who are started on an algebra curriculum in the earlier grades may have greater success in the subject in secondary school. What's needed is a consistent, algebra-infused mathematics curriculum all…
Teacher Actions to Facilitate Early Algebraic Reasoning
Hunter, Jodie
2015-01-01
In recent years there has been an increased emphasis on integrating the teaching of arithmetic and algebra in primary school classrooms. This requires teachers to develop links between arithmetic and algebra and use pedagogical actions that facilitate algebraic reasoning. Drawing on findings from a classroom-based study, this paper provides an…
UCSMP Algebra. What Works Clearinghouse Intervention Report
What Works Clearinghouse, 2007
2007-01-01
"University of Chicago School Mathematics Project (UCSMP) Algebra," designed to increase students' skills in algebra, is appropriate for students in grades 7-10, depending on the students' incoming knowledge. This one-year course highlights applications, uses statistics and geometry to develop the algebra of linear equations and inequalities, and…
The effects of experience and attrition for novice high-school science and mathematics teachers.
Henry, Gary T; Fortner, C Kevin; Bastian, Kevin C
2012-03-02
Because of the current high proportion of novice high-school teachers, many students' mastery of science and mathematics depends on the effectiveness of early-career teachers. In this study, which used value-added models to analyze high-school teachers' effectiveness in raising test scores on 1.05 million end-of-course exams, we found that the effectiveness of high-school science and mathematics teachers increased substantially with experience but exhibited diminishing rates of return by their fourth year; that teachers of algebra 1, algebra 2, biology, and physical science who continued to teach for at least 5 years were more effective as novice teachers than those who left the profession earlier; and that novice teachers of physics, chemistry, physical science, geometry, and biology exhibited steeper growth in effectiveness than did novice non-science, technology, engineering, and mathematics teachers.
Linear Algebra and Smarandache Linear Algebra
Vasantha, Kandasamy
2003-01-01
The present book, on Smarandache linear algebra, not only studies the Smarandache analogues of linear algebra and its applications, it also aims to bridge the need for new research topics pertaining to linear algebra, purely in the algebraic sense. We have introduced Smarandache semilinear algebra, Smarandache bilinear algebra and Smarandache anti-linear algebra and their fuzzy equivalents. Moreover, in this book, we have brought out the study of linear algebra and vector spaces over finite p...
Schneider, Hans
1989-01-01
Linear algebra is one of the central disciplines in mathematics. A student of pure mathematics must know linear algebra if he is to continue with modern algebra or functional analysis. Much of the mathematics now taught to engineers and physicists requires it.This well-known and highly regarded text makes the subject accessible to undergraduates with little mathematical experience. Written mainly for students in physics, engineering, economics, and other fields outside mathematics, the book gives the theory of matrices and applications to systems of linear equations, as well as many related t
Soro, S.; Maarif, S.; Kurniawan, Y.; Raditya, A.
2018-01-01
The aim of this study is to find out the effect of Dienes AEM (Algebra Experience Materials) on the ability of understanding concept of algebra on the senior high school student in Indonesia. This research is an experimental research with subject of all high school students in Indonesia. The samples taken were high school students in three provinces namely DKI Jakarta Province, West Java Province and Banten Province. From each province was taken senior high school namely SMA N 9 Bekasi West Java, SMA N 94 Jakarta and SMA N 5 Tangerang, Banten. The number of samples in this study was 114 high school students of tenth grade as experimental class and 115 high school students of tenth grade as control class. Learning algebra concept is needed in learning mathematics, besides it is needed especially to educate students to be able to think logically, systematically, critically, analytically, creatively, and cooperation. Therefore in this research will be developed an effective algebra learning by using Dienes AEM. The result of this research is that there is a significant influence on the students’ concept comprehension ability taught by using Dienes AEM learning as an alternative to instill the concept of algebra compared to the students taught by conventional learning. Besides, the students’ learning motivation increases because students can construct the concept of algebra with props.
Especially for High School Teachers
Howell, J. Emory
2001-05-01
Literature Cited National Science Education Standards; National Academy Press: Washington, DC, 1996; http://www. nap.edu/readingroom/books/nses/. Principles and Standards for School Mathematics; National Council of Teachers of Mathematics: Washington, DC, 2000; http://standards.nctm.org/. Visit CLIC, an Online Resource for High School Teachers at http://jchemed.chem.wisc.edu/HS/
A Study of Students' Achievement in Algebra: Considering the Effect of Gender and Types of Schools
Saleh, Salmiza; Rahman, Muhamad Asyrah Abdul
2016-01-01
Algebra is a branch of mathematics that deals with symbols and also the rules for manipulating those symbols, which are used to represent numbers and quantities in mathematical formulae and equations. It is needed and used in our everyday lives. The purpose of this study was to examine students' performance in algebra related to gender and types…
Authoritative School Climate and High School Dropout Rates
Jia, Yuane; Konold, Timothy R.; Cornell, Dewey
2016-01-01
This study tested the association between school-wide measures of an authoritative school climate and high school dropout rates in a statewide sample of 315 high schools. Regression models at the school level of analysis used teacher and student measures of disciplinary structure, student support, and academic expectations to predict overall high…
The Influence of Using TI-84 Calculators with Programs on Algebra I High Stakes Examinations
Spencer, Misty
2013-01-01
The purpose of this study was to determine if there was a significant difference in scores on the Mississippi Algebra I SATP2 when one group was allowed to use programs and the other group was not allowed to use programs on TI-84 calculators. An additional purpose of the study was also to determine if there was a significant difference in the…
Garrett, Paul B
2007-01-01
Designed for an advanced undergraduate- or graduate-level course, Abstract Algebra provides an example-oriented, less heavily symbolic approach to abstract algebra. The text emphasizes specifics such as basic number theory, polynomials, finite fields, as well as linear and multilinear algebra. This classroom-tested, how-to manual takes a more narrative approach than the stiff formalism of many other textbooks, presenting coherent storylines to convey crucial ideas in a student-friendly, accessible manner. An unusual feature of the text is the systematic characterization of objects by universal
Kolman, Bernard
1985-01-01
College Algebra, Second Edition is a comprehensive presentation of the fundamental concepts and techniques of algebra. The book incorporates some improvements from the previous edition to provide a better learning experience. It provides sufficient materials for use in the study of college algebra. It contains chapters that are devoted to various mathematical concepts, such as the real number system, the theory of polynomial equations, exponential and logarithmic functions, and the geometric definition of each conic section. Progress checks, warnings, and features are inserted. Every chapter c
Abdelfattah, Ahmad
2015-01-15
High performance computing (HPC) platforms are evolving to more heterogeneous configurations to support the workloads of various applications. The current hardware landscape is composed of traditional multicore CPUs equipped with hardware accelerators that can handle high levels of parallelism. Graphical Processing Units (GPUs) are popular high performance hardware accelerators in modern supercomputers. GPU programming has a different model than that for CPUs, which means that many numerical kernels have to be redesigned and optimized specifically for this architecture. GPUs usually outperform multicore CPUs in some compute intensive and massively parallel applications that have regular processing patterns. However, most scientific applications rely on crucial memory-bound kernels and may witness bottlenecks due to the overhead of the memory bus latency. They can still take advantage of the GPU compute power capabilities, provided that an efficient architecture-aware design is achieved. This dissertation presents a uniform design strategy for optimizing critical memory-bound kernels on GPUs. Based on hierarchical register blocking, double buffering and latency hiding techniques, this strategy leverages the performance of a wide range of standard numerical kernels found in dense and sparse linear algebra libraries. The work presented here focuses on matrix-vector multiplication kernels (MVM) as repre- sentative and most important memory-bound operations in this context. Each kernel inherits the benefits of the proposed strategies. By exposing a proper set of tuning parameters, the strategy is flexible enough to suit different types of matrices, ranging from large dense matrices, to sparse matrices with dense block structures, while high performance is maintained. Furthermore, the tuning parameters are used to maintain the relative performance across different GPU architectures. Multi-GPU acceleration is proposed to scale the performance on several devices. The
Ham, Sandra; Walker, Erica
This paper describes the Milwaukee Public Schools' involvement in Equity 2000, a standards-based reform initiative to enhance mathematics education and achievement among students of color, thereby increasing their likelihood of college enrollment and completion. The study highlights efforts to support and sustain a key component of Equity 2000:…
Providing Feedback on Computer-Based Algebra Homework in Middle-School Classrooms
Fyfe, Emily R.
2016-01-01
Homework is transforming at a rapid rate with continuous advances in educational technology. Computer-based homework, in particular, is gaining popularity across a range of schools, with little empirical evidence on how to optimize student learning. The current aim was to test the effects of different types of feedback on computer-based homework.…
The Work of Lagrange in Number Theory and Algebra
Indian Academy of Sciences (India)
GENERAL I ARTICLE. The Work of Lagrange in Number Theory and Algebra. D P Patil, C R Pranesachar and Renuka RafJindran. (left) D P Patil got his Ph.D from the School of Math- ematics, TIFR and joined. IISc in 1992. His interests are commutative algebra, algebraic geometry and algebraic number theory. (right) C R ...
Students’ Algebraic Reasonsing In Solving Mathematical Problems With Adversity Quotient
Aryani, F.; Amin, S. M.; Sulaiman, R.
2018-01-01
Algebraic reasoning is a process in which students generalize mathematical ideas from a set of particular instances and express them in increasingly formal and age-appropriate ways. Using problem solving approach to develop algebraic reasoning of mathematics may enhace the long-term learning trajectory of the majority students. The purpose of this research was to describe the algebraic reasoning of quitter, camper, and climber junior high school students in solving mathematical problems. This research used qualitative descriptive method. Subjects were determined by purposive sampling. The technique of collecting data was done by task-based interviews.The results showed that the algebraic reasoning of three students in the process of pattern seeking by identifying the things that are known and asked in a similar way. But three students found the elements of pattern recognition in different ways or method. So, they are generalize the problem of pattern formation with different ways. The study of algebraic reasoning and problem solving can be a learning paradigm in the improve students’ knowledge and skills in algebra work. The goal is to help students’ improve academic competence, develop algebraic reasoning in problem solving.
Especially for High School Teachers
Howell, J. Emory
1999-09-01
Secondary School Feature Articles * Authentic Research within the Grasp of High School Students, by Annis Hapkiewicz, p 1212 * JCE Classroom Activity #19: Blueprint Photography by the Cyanotype Process, by Glen D. Lawrence and Stuart Fishelson, p 1216A Author Recognition A new program has been instituted to recognize high school teachers who are authors or coauthors of manuscripts published in the Journal. In May, letters were sent to teachers who wrote articles published in JCE beginning with Volume 74 (1997). If you were an author, you should have received a letter from us in late May or early June stating that your high school principal has been sent a Certificate of High School Author Recognition to be presented to you at a suitable occasion. Because the letters were sent late in the school year, you may not see the certificate until fall, or you may not receive your letter until then if we had only your school address. If you have authored or coauthored an article published in JCE and did not receive a letter, please contact me using the information about the Secondary School Chemistry Editor appearing on the Information Page in this issue. Syllabus Swap In the August issue, this column contained an invitation to exchange high school syllabi. The day after my copy of the August issue arrived, I received an email from a teacher indicating an interest in participating in an exchange. If you are interested, check the August "Especially for High School Chemistry Teachers" column for a brief discussion of the informal exchange program, or contact me. Research Conducted by High School Students In his June 1999 editorial "Learning Is a Do-It-Yourself Activity", p 725, John Moore wrote about the need to engage students actively in the learning process. As I have mentioned in this column previously, research conducted by students is one means of accomplishing this goal. In this issue, p 1212, Annis Hapkiewicz explains how she has drawn her Okemos [Michigan] High School
Participation in Summer School and High School Graduation in the Sun Valley High School District
Trujillo, Gabriel
2012-01-01
This study examines the effectiveness of a summer school credit recovery program in the Sun Valley High School District. Using logistic regression I assess the relationship between race, gender, course failure, school of origin and summer school participation for a sample of students that failed one or more classes in their first year of high…
Carpet Aids Learning in High Performance Schools
Hurd, Frank
2009-01-01
The Healthy and High Performance Schools Act of 2002 has set specific federal guidelines for school design, and developed a federal/state partnership program to assist local districts in their school planning. According to the Collaborative for High Performance Schools (CHPS), high-performance schools are, among other things, healthy, comfortable,…
International Nuclear Information System (INIS)
Levakhina, Y. M.; Müller, J.; Buzug, T. M.; Duschka, R. L.; Vogt, F.; Barkhausen, J.
2013-01-01
Purpose: This paper introduces a nonlinear weighting scheme into the backprojection operation within the simultaneous algebraic reconstruction technique (SART). It is designed for tomosynthesis imaging of objects with high-attenuation features in order to reduce limited angle artifacts. Methods: The algorithm estimates which projections potentially produce artifacts in a voxel. The contribution of those projections into the updating term is reduced. In order to identify those projections automatically, a four-dimensional backprojected space representation is used. Weighting coefficients are calculated based on a dissimilarity measure, evaluated in this space. For each combination of an angular view direction and a voxel position an individual weighting coefficient for the updating term is calculated. Results: The feasibility of the proposed approach is shown based on reconstructions of the following real three-dimensional tomosynthesis datasets: a mammography quality phantom, an apple with metal needles, a dried finger bone in water, and a human hand. Datasets have been acquired with a Siemens Mammomat Inspiration tomosynthesis device and reconstructed using SART with and without suggested weighting. Out-of-focus artifacts are described using line profiles and measured using standard deviation (STD) in the plane and below the plane which contains artifact-causing features. Artifacts distribution in axial direction is measured using an artifact spread function (ASF). The volumes reconstructed with the weighting scheme demonstrate the reduction of out-of-focus artifacts, lower STD (meaning reduction of artifacts), and narrower ASF compared to nonweighted SART reconstruction. It is achieved successfully for different kinds of structures: point-like structures such as phantom features, long structures such as metal needles, and fine structures such as trabecular bone structures. Conclusions: Results indicate the feasibility of the proposed algorithm to reduce typical
Energy Technology Data Exchange (ETDEWEB)
Levakhina, Y. M. [Institute of Medical Engineering, University of Luebeck, Luebeck 23562, Germany and Graduate School for Computing in Medicine and Life Sciences, Luebeck 23562 (Germany); Mueller, J.; Buzug, T. M. [Institute of Medical Engineering, University of Luebeck, Luebeck 23562 (Germany); Duschka, R. L.; Vogt, F.; Barkhausen, J. [Clinic for Radiology, University Clinics Schleswig-Holstein, Luebeck 23562 (Germany)
2013-03-15
Purpose: This paper introduces a nonlinear weighting scheme into the backprojection operation within the simultaneous algebraic reconstruction technique (SART). It is designed for tomosynthesis imaging of objects with high-attenuation features in order to reduce limited angle artifacts. Methods: The algorithm estimates which projections potentially produce artifacts in a voxel. The contribution of those projections into the updating term is reduced. In order to identify those projections automatically, a four-dimensional backprojected space representation is used. Weighting coefficients are calculated based on a dissimilarity measure, evaluated in this space. For each combination of an angular view direction and a voxel position an individual weighting coefficient for the updating term is calculated. Results: The feasibility of the proposed approach is shown based on reconstructions of the following real three-dimensional tomosynthesis datasets: a mammography quality phantom, an apple with metal needles, a dried finger bone in water, and a human hand. Datasets have been acquired with a Siemens Mammomat Inspiration tomosynthesis device and reconstructed using SART with and without suggested weighting. Out-of-focus artifacts are described using line profiles and measured using standard deviation (STD) in the plane and below the plane which contains artifact-causing features. Artifacts distribution in axial direction is measured using an artifact spread function (ASF). The volumes reconstructed with the weighting scheme demonstrate the reduction of out-of-focus artifacts, lower STD (meaning reduction of artifacts), and narrower ASF compared to nonweighted SART reconstruction. It is achieved successfully for different kinds of structures: point-like structures such as phantom features, long structures such as metal needles, and fine structures such as trabecular bone structures. Conclusions: Results indicate the feasibility of the proposed algorithm to reduce typical
Credentialing high school psychology teachers.
Weaver, Kenneth A
2014-09-01
The National Standards for High School Psychology Curricula (American Psychological Association, 2013b) require a teacher with considerable psychology content knowledge to teach high school psychology courses effectively. In this study, I examined the initial teaching credential requirements for high school psychology teachers in the 50 states plus the District of Columbia. Thirty-four states (the District of Columbia is included as a state) require the social studies credential to teach high school psychology. An analysis of the items on standardized tests used by states to validate the content knowledge required to teach social studies indicates little or no presence of psychology, a reflection of psychology's meager presence in the social studies teacher preparation curricula. Thus, new teachers with the social studies teaching credential are not prepared to teach high school psychology according to the National Standards. Approval of The College, Career, and Civic Life (C3) Framework for Social Studies State Standards: Guidance for Enhancing the Rigor of K-12 Civics, Economics, Geography, and History (National Council for the Social Studies, 2013) presents an opportunity to advocate for establishing a psychology credential in the 34 states. (c) 2014 APA, all rights reserved.
Algebraic entropy for algebraic maps
International Nuclear Information System (INIS)
Hone, A N W; Ragnisco, Orlando; Zullo, Federico
2016-01-01
We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for rational maps, to algebraic maps (or correspondences) of a certain kind. The corresponding entropy is an index of the complexity of the map. The definition inherits the basic properties from the definition of entropy for rational maps. We give an example with positive entropy, as well as two examples taken from the theory of Bäcklund transformations. (letter)
Bullying among High School Students
Nursel TÜRKMEN, Delia; Halis DOKGÖZ, Mihai; Semra AKGÖZ, Suzana; Bülent EREN, Bogdan Nicolae; Pınar VURAL, Horatiu; Oğuz POLAT, Horatiu
2013-01-01
ABSTRACT Objective: The main aim of this research is to investigate the prevalence of bullying behaviour, its victims and the types of bullying and places of bullying among 14-17 year-old adolescents in a sample of school children in Bursa, Turkey. Methodology: A cross-sectional survey questionnaire was conducted among class 1 and class 2 high school students for identification bullying. Results: Majority (96.7%) of the students were involved in bullying behaviours as aggressors or victims. For a male student, the likelihood of being involved in violent behaviours was detected to be nearly 8.4 times higher when compared with a female student. Conclusion: a multidisciplinary approach involving affected children, their parents, school personnel, media, non-govermental organizations, and security units is required to achieve an effective approach for the prevention of violence targeting children in schools as victims and/or perpetrators. PMID:24371478
On the Fock space realizations of nonlinear algebras describing the high spin fields in AdS spaces
International Nuclear Information System (INIS)
Burdik, C.; Navratil, O.; Pashnev, A.
2002-01-01
The method of construction of Fock space realizations of Lie algebras is generalized for nonlinear algebras. We consider as an example the nonlinear algebra of constraints which describe the totally symmetric fields with higher spins in the AdS space-time
Catholic High Schools and Rural Academic Achievement.
Sander, William
1997-01-01
A study of national longitudinal data examined effects of rural Catholic high schools on mathematics achievement, high school graduation rates, and the likelihood that high school graduates attend college. Findings indicate that rural Catholic high schools had a positive effect on mathematics test scores and no effect on graduation rates or rates…
Especially for High School Teachers
Howell, J. Emory
1999-12-01
Chemistry and the Environment This issue contains more than 20 articles relating to the environment. Several articles of potential interest are indicated in the Table of Contents with the SSC mark (). Others are not so indicated because they depict use of expensive instrumentation or costly procedures, but if you have an interest in environmental chemistry you may wish to examine all the environmentally related articles. While many of the articles, both marked and unmarked, are targeted to college-level environmental chemistry curricula or to introductory courses for non-major, the methods described in several could be readily adapted to high school chemistry courses. One article likely to be of interest to teachers is found in News from Online, pp 1608-1609. The author explains how to use the U.S. Environment Protection Agency's EnviroMapper Web site to view and query environmental information. She mentioned finding a hazardous waste handler located near her home, so I decided to check the area near my home. I quickly located a natural gas salt dome storage facility marked on the map and, with a few more mouse clicks, I found information that included status of compliance with regulations, amounts of each compound released to the air in tons per year, and how to contact the corporation owning the site. Email and Web site addresses were included for the convenience of anyone wishing to contact the corporation. Students could learn a great deal about where they live that is relevant to chemistry by using the EPA site. Additional Web sites dealing with environmental issues and chemistry are cited in the sidebar at the bottom of p 1609. Among the articles that could be adapted to an advanced high school chemistry class or possibly even to an introductory class is one titled Bridge of Mandolin County (pp 1671-1672). It describes a case-study strategy similar to the scenarios used in ChemStudy. Students analyze information from various sources, including laboratory
International Nuclear Information System (INIS)
MacCallum, M.A.H.
1990-01-01
The implementation of a new computer algebra system is time consuming: designers of general purpose algebra systems usually say it takes about 50 man-years to create a mature and fully functional system. Hence the range of available systems and their capabilities changes little between one general relativity meeting and the next, despite which there have been significant changes in the period since the last report. The introductory remarks aim to give a brief survey of capabilities of the principal available systems and highlight one or two trends. The reference to the most recent full survey of computer algebra in relativity and brief descriptions of the Maple, REDUCE and SHEEP and other applications are given. (author)
Liesen, Jörg
2015-01-01
This self-contained textbook takes a matrix-oriented approach to linear algebra and presents a complete theory, including all details and proofs, culminating in the Jordan canonical form and its proof. Throughout the development, the applicability of the results is highlighted. Additionally, the book presents special topics from applied linear algebra including matrix functions, the singular value decomposition, the Kronecker product and linear matrix equations. The matrix-oriented approach to linear algebra leads to a better intuition and a deeper understanding of the abstract concepts, and therefore simplifies their use in real world applications. Some of these applications are presented in detailed examples. In several ‘MATLAB-Minutes’ students can comprehend the concepts and results using computational experiments. Necessary basics for the use of MATLAB are presented in a short introduction. Students can also actively work with the material and practice their mathematical skills in more than 300 exerc...
Edwards, Harold M
1995-01-01
In his new undergraduate textbook, Harold M Edwards proposes a radically new and thoroughly algorithmic approach to linear algebra Originally inspired by the constructive philosophy of mathematics championed in the 19th century by Leopold Kronecker, the approach is well suited to students in the computer-dominated late 20th century Each proof is an algorithm described in English that can be translated into the computer language the class is using and put to work solving problems and generating new examples, making the study of linear algebra a truly interactive experience Designed for a one-semester course, this text adopts an algorithmic approach to linear algebra giving the student many examples to work through and copious exercises to test their skills and extend their knowledge of the subject Students at all levels will find much interactive instruction in this text while teachers will find stimulating examples and methods of approach to the subject
Excel Spreadsheets for Algebra: Improving Mental Modeling for Problem Solving
Engerman, Jason; Rusek, Matthew; Clariana, Roy
2014-01-01
This experiment investigates the effectiveness of Excel spreadsheets in a high school algebra class. Students in the experiment group convincingly outperformed the control group on a post lesson assessment. The student responses, teacher observations involving Excel spreadsheet revealed that it operated as a mindtool, which formed the users'…
Partial Fractions in Calculus, Number Theory, and Algebra
Yackel, C. A.; Denny, J. K.
2007-01-01
This paper explores the development of the method of partial fraction decomposition from elementary number theory through calculus to its abstraction in modern algebra. This unusual perspective makes the topic accessible and relevant to readers from high school through seasoned calculus instructors.
Directory of Open Access Journals (Sweden)
Tamás Meszéna
2017-04-01
Full Text Available We are faced with chaotic processes in many segments of our life: meteorology, environmental pollution, financial and economic processes, sociology, mechanics, electronics, biology, chemistry. The spreading of high-performance computers and the development of simulation methods made the examination of these processes easily available. Regular, periodic motions (pendulum, harmonic oscillatory motion, bouncing ball, as taught at secondary level, become chaotic even due minor changes. If it is true that the most considerable achievements of twentieth century physics were the theory of relativity, quantum mechanics and chaos theory, then it is presumably time to think about, examine and test how and to what extent chaos can be presented to the students. Here I would like to introduce a 12 lesson long facultative curriculum framework on chaos designed for students aged seventeen. The investigation of chaos phenomenon in this work is based on a freeware, “Dynamics Solver”. This software, with some assistance from the teacher, is suitable for classroom use at secondary level.
Stoll, R R
1968-01-01
Linear Algebra is intended to be used as a text for a one-semester course in linear algebra at the undergraduate level. The treatment of the subject will be both useful to students of mathematics and those interested primarily in applications of the theory. The major prerequisite for mastering the material is the readiness of the student to reason abstractly. Specifically, this calls for an understanding of the fact that axioms are assumptions and that theorems are logical consequences of one or more axioms. Familiarity with calculus and linear differential equations is required for understand
Jacobson, Nathan
1979-01-01
Lie group theory, developed by M. Sophus Lie in the 19th century, ranks among the more important developments in modern mathematics. Lie algebras comprise a significant part of Lie group theory and are being actively studied today. This book, by Professor Nathan Jacobson of Yale, is the definitive treatment of the subject and can be used as a textbook for graduate courses.Chapter I introduces basic concepts that are necessary for an understanding of structure theory, while the following three chapters present the theory itself: solvable and nilpotent Lie algebras, Carlan's criterion and its
Jacobson, Nathan
2009-01-01
A classic text and standard reference for a generation, this volume and its companion are the work of an expert algebraist who taught at Yale for two decades. Nathan Jacobson's books possess a conceptual and theoretical orientation, and in addition to their value as classroom texts, they serve as valuable references.Volume I explores all of the topics typically covered in undergraduate courses, including the rudiments of set theory, group theory, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. Its comprehensive treatment extends to such rigorous topics as L
Judson, Thomas W.; Nishimori, Toshiyuki
2005-01-01
In this study we investigated above-average high school calculus students from Japan and the United States in order to determine any differences in their conceptual understanding of calculus and their ability to use algebra to solve traditional calculus problems. We examined and interviewed 18 Calculus BC students in the United States and 26…
Amato, Sheila
2003-01-01
This brief report describes the development and implementation of a unique, full-year, credit-bearing, technology course in literary Braille transcription offered at a Long Island (New York) high school. It describes the program's goals, development, implementation, students, ongoing activities, outreach efforts, and student attitudes. Suggestions…
INSPIRED High School Computing Academies
Doerschuk, Peggy; Liu, Jiangjiang; Mann, Judith
2011-01-01
If we are to attract more women and minorities to computing we must engage students at an early age. As part of its mission to increase participation of women and underrepresented minorities in computing, the Increasing Student Participation in Research Development Program (INSPIRED) conducts computing academies for high school students. The…
Especially for High School Teachers
Emory Howell, J.
1999-11-01
many of our readers. The High School/College Interface Luncheon was part of the very rich day-long High School Program at the New Orleans ACS Meeting. Shown here (from left) are Glenn Crosby, the luncheon speaker; Lillie Tucker-Akin, the High School Day program chair; and Fred Johnson, Assistant Superintendent of Shelby County (TN) schools and Immediate Past President of NSTA. The recipient of the James Bryant Conant Award in High School Chemistry Teaching is Frank G. Cardulla, who taught for many years at Niles North High School, Skokie, Illinois. His extensive record of service to fellow teachers includes editing the JCE "View from My Classroom" feature for several years and writing several articles, as well as his recent appointment to the JCE Board of Publication. The recipient of the George C. Pimentel Award in Chemical Education is Jerry A. Bell of the American Chemical Society in Washington, DC. An author of numerous articles appearing in JCE and a member of the JCE Board of Publication for several years, he currently serves as Board Chair. The 16th Biennial Conference on Chemical Education Readers who attended the 15th BCCE in Waterloo, Ontario, know that much of the programming at these conferences is of interest to high school teachers. Many work shops, papers, and demonstrations are presented by high school teachers. There are many other outstanding papers and posters, plenary speakers, and exciting demonstrations. The 16th BCCE will be held at the University of Michigan in Ann Arbor, July 30-August 3, 2000. Among the high school teachers already scheduled to present workshops at the 16th BCCE are George Hague, Lynn Hershey, and Jack Randall, and there will be many more before the program is completed. The High School Chemistry Program Chair is Tim Graham, Roosevelt High School (MI). The Organizing Committee is seeking the assistance of local sections of the American Chemical Society within a 300-mile radius of Ann Arbor in providing support for high school
A Regression Analysis of South Carolina Algebra I End-of-Course Exam Scores by Schedule Type
Smith, Dawn M.
2017-01-01
The purpose of this study was to examine the relationship between scheduling and first-year-high-school students' exam scores on the South Carolina Algebra I End-of-Course (EOC) assessment. The study compared existing empirical data from two southeastern high schools from the same school district using 4 X 4 block schedules from 2011-2014 and…
Algebra for All: California’s Eighth-Grade Algebra Initiative as Constrained Curricula
Domina, Thurston; Penner, Andrew M.; Penner, Emily K.; Conley, Annemarie
2015-01-01
Background/Context Across the United States, secondary school curricula are intensifying as a growing proportion of students enroll in high-level academic math courses. In many districts, this intensification process occurs as early as eighth grade, where schools are effectively constraining their mathematics curricula by restricting course offerings and placing more students into Algebra I. This paper provides a quantitative single-case research study of policy-driven curricular intensification in one California school district. Research Questions (1a) What effect did 8th eighth grade curricular intensification have on mathematics course enrollment patterns in Towering Pines Unified schools? (2b) How did the distribution of prior achievement in Towering Pines math classrooms change as the district constrained the curriculum by universalizing 8th eighth grade Algebra? (3c) Did 8th eighth grade curricular intensification improve students’ mathematics achievement? Setting Towering Pines is an immigrant enclave in the inner-ring suburbs of a major metropolitan area. The district’s 10 middle schools together enroll approximately 4,000 eighth graders each year. The districts’ students are ethnically diverse and largely economically disadvantaged. The study draws upon administrative data describing 8th eighth graders in the district in the 2004–20-05 through 2007–20-08 school years. Intervention/Program/Practice During the study period, Towering Pines dramatically intensified middle school students’ math curricula: In the 2004–20-05 school year 32% of the district’s 8th eighth graders enrolled in Algebra or a higher- level mathematics course; by the 2007–20-08 school year that proportion had increased to 84%. Research Design We use an interrupted time-series design, comparing students’ 8th eighth grade math course enrollments, 10th grade math course enrollments, and 10th grade math test scores across the four cohorts, controlling for demographics and
Algebra for All: California's Eighth-Grade Algebra Initiative as Constrained Curricula.
Domina, Thurston; Penner, Andrew M; Penner, Emily K; Conley, Annemarie
2014-08-01
Across the United States, secondary school curricula are intensifying as a growing proportion of students enroll in high-level academic math courses. In many districts, this intensification process occurs as early as eighth grade, where schools are effectively constraining their mathematics curricula by restricting course offerings and placing more students into Algebra I. This paper provides a quantitative single-case research study of policy-driven curricular intensification in one California school district. (1a) What effect did 8th eighth grade curricular intensification have on mathematics course enrollment patterns in Towering Pines Unified schools? (2b) How did the distribution of prior achievement in Towering Pines math classrooms change as the district constrained the curriculum by universalizing 8th eighth grade Algebra? (3c) Did 8th eighth grade curricular intensification improve students' mathematics achievement? Towering Pines is an immigrant enclave in the inner-ring suburbs of a major metropolitan area. The district's 10 middle schools together enroll approximately 4,000 eighth graders each year. The districts' students are ethnically diverse and largely economically disadvantaged. The study draws upon administrative data describing 8th eighth graders in the district in the 2004-20-05 through 2007-20-08 school years. During the study period, Towering Pines dramatically intensified middle school students' math curricula: In the 2004-20-05 school year 32% of the district's 8th eighth graders enrolled in Algebra or a higher- level mathematics course; by the 2007-20-08 school year that proportion had increased to 84%. We use an interrupted time-series design, comparing students' 8th eighth grade math course enrollments, 10th grade math course enrollments, and 10th grade math test scores across the four cohorts, controlling for demographics and prior achievement. We find that students' odds of taking higher level mathematics courses increased as this
School-Within-A-School (Hawaii Nui High) Hilo High School Report 1969-70.
Hawaii Univ., Honolulu. Social Welfare Development and Research Center.
The second year of operation of Hilo High School's "School-Within-A-School" [SWS] program is evaluated in this paper. Planning, training, and program implementation are described in the document. The following are the results of the program: There was an improvement in attendance among project students when compared to their record in…
Middle School Concept Helps High-Poverty Schools Become High-Performing Schools
Picucci, Ali Callicoatte; Brownson, Amanda; Kahlert, Rahel; Sobel, Andrew
2004-01-01
The results of a study conducted by the Charles A. Dana Center at the University of Texas at Austin for the U.S. Department of Education during the 2001-02 school year showed that elements of the middle school concept can lead to improved student performance, even in high-poverty schools. This article describes common elements of the middle school…
Indian Academy of Sciences (India)
tion - 6. How Architectural Features Affect. Building During Earthquakes? C VRMurty. 48 Turbulence and Dispersion. K 5 Gandhi. BOOK REVIEWS. 86 Algebraic Topology. Siddhartha Gadgil. Front Cover. - .. ..-.......... -. Back Cover. Two-dimensional vertical section through a turbulent plume. (Courtesy: G S Shat, CAOS, IISc.).
Indian Academy of Sciences (India)
Deligne, Mumford and Artin [DM, Ar2]) and consider algebraic stacks, then we can cons- truct the 'moduli ... the moduli scheme and the moduli stack of vector bundles. First I will give ... 1–31. © Printed in India. 1 ...... Cultura, Spain. References.
Authoritative school climate and high school dropout rates.
Jia, Yuane; Konold, Timothy R; Cornell, Dewey
2016-06-01
This study tested the association between school-wide measures of an authoritative school climate and high school dropout rates in a statewide sample of 315 high schools. Regression models at the school level of analysis used teacher and student measures of disciplinary structure, student support, and academic expectations to predict overall high school dropout rates. Analyses controlled for school demographics of school enrollment size, percentage of low-income students, percentage of minority students, and urbanicity. Consistent with authoritative school climate theory, moderation analyses found that when students perceive their teachers as supportive, high academic expectations are associated with lower dropout rates. (PsycINFO Database Record (c) 2016 APA, all rights reserved).
Especially for High School Teachers
Howell, J. Emory
1999-08-01
Care to Share? An Informal Syllabus Exchange A recent email message from Thomas Shiland, who teaches at Saratoga Springs Senior High School, noted that the process of revising the high school chemistry syllabus is underway in New York State. He expressed a strong interest in helping construct a chemistry syllabus that represents the best thinking about appropriate content. He wondered if it would be possible to develop a way in which different secondary chemistry syllabi could easily be exchanged. It is likely that readers from other states and countries are involved in a similar process and might also be interested in exchanging syllabi. Many states do not use the term syllabus to describe their guiding curricular document for chemistry but rather refer to it as a framework or as guidelines. In most cases, the document includes a list of key ideas or topics, performance indicators, and the major understandings associated with each key idea. Such documents would be appropriate for exchange among those of you involved in the revision process. If you are interested in arranging an exchange please contact me by email at j.e.howell@usm.edu or by mail at J. E. Howell, Box 5043, USM, Hattiesburg, MS39406-5043, USA. High School Day Information The High School Chemistry Program at the American Chemical Society National Meeting in New Orleans, Louisiana will be held Sunday, August 22, 1999, at the Doubletree Hotel, 300 Canal Street. If you wish to register only for the High School Day activities, which includes a pass to the ACS Exposition, a special registration form is available from Lillie Tucker-Akin, 2800 Reynard Dr., Tupelo, MS38801; sci4me@aol.com; fax: 662/566-7906. Advance registration is 25 and the cost of the High School Luncheon is 12. Register in advance by August 1, 1999, or from 7:45 to 8:30 a.m. at the High School Day table in the conference room area of the Doubletree. The workshop schedule is shown below. Secondary School Feature Articles * Exploring the
Algebraic characterizations of measure algebras
Czech Academy of Sciences Publication Activity Database
Jech, Thomas
2008-01-01
Roč. 136, č. 4 (2008), s. 1285-1294 ISSN 0002-9939 R&D Projects: GA AV ČR IAA100190509 Institutional research plan: CEZ:AV0Z10190503 Keywords : Von - Neumann * sequential topology * Boolean-algebras * Souslins problem * Submeasures Subject RIV: BA - General Mathematics Impact factor: 0.584, year: 2008
Partially ordered algebraic systems
Fuchs, Laszlo
2011-01-01
Originally published in an important series of books on pure and applied mathematics, this monograph by a distinguished mathematician explores a high-level area in algebra. It constitutes the first systematic summary of research concerning partially ordered groups, semigroups, rings, and fields. The self-contained treatment features numerous problems, complete proofs, a detailed bibliography, and indexes. It presumes some knowledge of abstract algebra, providing necessary background and references where appropriate. This inexpensive edition of a hard-to-find systematic survey will fill a gap i
Quantum W-algebras and elliptic algebras
International Nuclear Information System (INIS)
Feigin, B.; Kyoto Univ.; Frenkel, E.
1996-01-01
We define a quantum W-algebra associated to sl N as an associative algebra depending on two parameters. For special values of the parameters, this algebra becomes the ordinary W-algebra of sl N , or the q-deformed classical W-algebra of sl N . We construct free field realizations of the quantum W-algebras and the screening currents. We also point out some interesting elliptic structures arising in these algebras. In particular, we show that the screening currents satisfy elliptic analogues of the Drinfeld relations in U q (n). (orig.)
Especially for High School Teachers
Howell, J. Emory
1999-07-01
Secondary School Feature Articles * Super Science Connections, by Patricia B. McKean, p 916 * A pHorseshoe, by Roger Plumsky, p 935 National Conferences in Your Part of the Country For the past several months, considerable space in this column has been devoted to forthcoming national conferences and conventions and to highlights of conferences past. For some of us, location is fairly unimportant; but for most of us travel costs and time are both factors to consider when choosing a conference. The community of high school chemistry teachers is favored by the number of national conventions and conferences that are held each year in different locations. In 1999, for example, the spring National Meeting of the American Chemical Society was in Anaheim and the National Science Teachers Association National Convention was in Boston. This summer CHEMED '99 will be held in Fairfield, CT, August 1-5, and the fall National ACS Meeting will be in New Orleans. Teachers from the mid-South especially should consider attending the High School Program at New Orleans, described below by Lillie Tucker Akin, Chairperson of the Division's High School Program Committee. The event will be held on Sunday to minimize conflicts with the beginning of the school year. JCE at CHEMED '99 Stop by the JCE booth at CHEMED '99 in the exhibits area to learn more about the wide array of print and nonprint resources you can use in your classroom and laboratory. Members of the editorial staff will be on hand to talk with you. You are invited to participate in a workshop, "Promoting Active Learning through JCE Activity Sheets and Software", on Monday, August 1, 8:30-10:30. The free hands-on workshop is number WT11 and we encourage you to include it among your choices in the blanks provided on the third page of the registration form. We will also conduct an interactive session to listen to ideas for making the Journal more useful to you. Check the final program for location and time or inquire at the JCE
Sexting by High School Students.
Strassberg, Donald S; Cann, Deanna; Velarde, Valerie
2017-08-01
In the last 8 years, several studies have documented that many adolescents acknowledge having exchanged sexually explicit cell phone pictures of themselves, a behavior termed sexting. Differences across studies in how sexting was defined, recruitment strategies, and cohort have resulted in sometimes significant differences in as basic a metric as what percentage of adolescents have sent, received, or forwarded such sexts. The psychosocial and even legal risks associated with sexting by minors are significantly serious that accurate estimates of its prevalence, including over time, are important to ascertain. In the present study, students (N = 656) from a single private high school were surveyed regarding their participation in sexting. Students at this same school were similarly surveyed four years earlier. In this second survey, reported rates of sending (males 15.8%; females 13.6%) and receiving (males 40.5%; females 30.6%) sexually explicit cell phone pictures (revealing genitals or buttocks of either sex or female breasts) were generally similar to those reported at the same school 4 years earlier. Rates of forwarding sexts (males 12.2%; females 7.6%) were much lower than those previously acknowledged at this school. Correlates of sexting in this study were similar to those reported previously. Overall, our findings suggest that sexting by adolescents (with the exception of forwarding) remains a fairly common behavior, despite its risks.
International Nuclear Information System (INIS)
Mohammad, N.; Siddiqui, A.H.
1987-11-01
The notion of a 2-Banach algebra is introduced and its structure is studied. After a short discussion of some fundamental properties of bivectors and tensor product, several classical results of Banach algebras are extended to the 2-Banach algebra case. A condition under which a 2-Banach algebra becomes a Banach algebra is obtained and the relation between algebra of bivectors and 2-normed algebra is discussed. 11 refs
Mulligan, Jeffrey B.
2017-01-01
A color algebra refers to a system for computing sums and products of colors, analogous to additive and subtractive color mixtures. The difficulty addressed here is the fact that, because of metamerism, we cannot know with certainty the spectrum that produced a particular color solely on the basis of sensory data. Knowledge of the spectrum is not required to compute additive mixture of colors, but is critical for subtractive (multiplicative) mixture. Therefore, we cannot predict with certainty the multiplicative interactions between colors based solely on sensory data. There are two potential applications of a color algebra: first, to aid modeling phenomena of human visual perception, such as color constancy and transparency; and, second, to provide better models of the interactions of lights and surfaces for computer graphics rendering.
International Nuclear Information System (INIS)
Jacob, M.
1967-01-01
The first three chapters of these lecture notes are devoted to generalities concerning current algebra. The weak currents are defined, and their main properties given (V-A hypothesis, conserved vector current, selection rules, partially conserved axial current,...). The SU (3) x SU (3) algebra of Gell-Mann is introduced, and the general properties of the non-leptonic weak Hamiltonian are discussed. Chapters 4 to 9 are devoted to some important applications of the algebra. First one proves the Adler- Weisberger formula, in two different ways, by either the infinite momentum frame, or the near-by singularities method. In the others chapters, the latter method is the only one used. The following topics are successively dealt with: semi leptonic decays of K mesons and hyperons, Kroll- Ruderman theorem, non leptonic decays of K mesons and hyperons ( ΔI = 1/2 rule), low energy theorems concerning processes with emission (or absorption) of a pion or a photon, super-convergence sum rules, and finally, neutrino reactions. (author) [fr
Waterloo Workshop on Computer Algebra
Zima, Eugene; WWCA-2016; Advances in computer algebra : in honour of Sergei Abramov's' 70th birthday
2018-01-01
This book discusses the latest advances in algorithms for symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations. It presents a collection of papers on original research topics from the Waterloo Workshop on Computer Algebra (WWCA-2016), a satellite workshop of the International Symposium on Symbolic and Algebraic Computation (ISSAC’2016), which was held at Wilfrid Laurier University (Waterloo, Ontario, Canada) on July 23–24, 2016. This workshop and the resulting book celebrate the 70th birthday of Sergei Abramov (Dorodnicyn Computing Centre of the Russian Academy of Sciences, Moscow), whose highly regarded and inspirational contributions to symbolic methods have become a crucial benchmark of computer algebra and have been broadly adopted by many Computer Algebra systems.
Indoor Air Quality in High Performance Schools
High performance schools are facilities that improve the learning environment while saving energy, resources, and money. The key is understanding the lifetime value of high performance schools and effectively managing priorities, time, and budget.
Kleyn, Aleks
2007-01-01
The concept of F-algebra and its representation can be extended to an arbitrary bundle. We define operations of fibered F-algebra in fiber. The paper presents the representation theory of of fibered F-algebra as well as a comparison of representation of F-algebra and of representation of fibered F-algebra.
Teaching Ethics to High School Students
Pass, Susan; Willingham, Wendy
2009-01-01
Working with two teachers and thirty-four high school seniors, the authors developed procedures and assessments to teach ethics in an American high school civics class. This approach requires high school students to discover an agreement or convergence between Kantian ethics and virtue ethics. The authors also created an instrument to measure…
How High School Students Select a College.
Gilmour, Joseph E., Jr.; And Others
The college selection process used by high school students was studied and a paradigm that describes the process was developed, based on marketing theory concerning consumer behavior. Primarily college freshmen and high school seniors were interviewed, and a few high school juniors and upper-level college students were surveyed to determine…
A high-accuracy optical linear algebra processor for finite element applications
Casasent, D.; Taylor, B. K.
1984-01-01
Optical linear processors are computationally efficient computers for solving matrix-matrix and matrix-vector oriented problems. Optical system errors limit their dynamic range to 30-40 dB, which limits their accuray to 9-12 bits. Large problems, such as the finite element problem in structural mechanics (with tens or hundreds of thousands of variables) which can exploit the speed of optical processors, require the 32 bit accuracy obtainable from digital machines. To obtain this required 32 bit accuracy with an optical processor, the data can be digitally encoded, thereby reducing the dynamic range requirements of the optical system (i.e., decreasing the effect of optical errors on the data) while providing increased accuracy. This report describes a new digitally encoded optical linear algebra processor architecture for solving finite element and banded matrix-vector problems. A linear static plate bending case study is described which quantities the processor requirements. Multiplication by digital convolution is explained, and the digitally encoded optical processor architecture is advanced.
Just Say Yes to Early Algebra!
Stephens, Ana; Blanton, Maria; Knuth, Eric; Isler, Isil; Gardiner, Angela Murphy
2015-01-01
Mathematics educators have argued for some time that elementary school students are capable of engaging in algebraic thinking and should be provided with rich opportunities to do so. Recent initiatives like the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) have taken up this call by reiterating the place of early algebra in…
International Nuclear Information System (INIS)
Dragon, N.
1979-01-01
The possible use of trilinear algebras as symmetry algebras for para-Fermi fields is investigated. The shortcomings of the examples are argued to be a general feature of such generalized algebras. (author)
International Nuclear Information System (INIS)
Yau, Donald
2011-01-01
We study a twisted generalization of Novikov algebras, called Hom-Novikov algebras, in which the two defining identities are twisted by a linear map. It is shown that Hom-Novikov algebras can be obtained from Novikov algebras by twisting along any algebra endomorphism. All algebra endomorphisms on complex Novikov algebras of dimensions 2 or 3 are computed, and their associated Hom-Novikov algebras are described explicitly. Another class of Hom-Novikov algebras is constructed from Hom-commutative algebras together with a derivation, generalizing a construction due to Dorfman and Gel'fand. Two other classes of Hom-Novikov algebras are constructed from Hom-Lie algebras together with a suitable linear endomorphism, generalizing a construction due to Bai and Meng.
Especially for High School Teachers
Howell, J. Emory
2000-02-01
Secondary School Feature Articles JCE Classroom Activity: #24. The Write Stuff: Using Paper Chromatography to Separate an Ink Mixture, p 176A Teaching Chemistry in the Midwinter Every year, forecasters around the world provide us with long-range predictions of what the seasons will afford us in the coming year. And each year, the weather provides a few surprises that the forecasters did not predict - such as a record amount of snow or record heat indexes, depending on where you live. Although the weatherman didn't predict it, we still must pull out our snow shovels or sun block and take the necessary steps to adapt to the situation. As teachers, we make predictions of teaching and learning goals that we aspire to achieve during a given year, and like the weather, the year brings surprises that aren't in line with our predictions. With that in mind, I would like to offer JCE as the scholastic snow shovel or sun shield you need to jump-start your class and reach the goals you have set. So find a warm (or cool) place, get comfortable, and spend some time with the February issue of JCE. Articles of General Interest in This Issue For readers living where snow falls, Williams's article on page 148 offers some historical background on the use of calcium chloride as a deicer. A diver that depends for its buoyancy upon gas given off by a chemical reaction is described by Derr, Lewis, and Derr in the article beginning on page 171. In her article appearing on pages 249-250, Wang describes a laboratory exercise that makes the mastery of solution preparation skills fun. The students' skill is tested by using the solutions they make to carry out the Briggs-Rauscher oscillating reaction. For high school class applications I recommend use of 3% hydrogen peroxide, described as an option in the article. A well-organized approach to separating an ink mixture, with some possibly new twists, is laid out in the student- and teacher-friendly format of JCE Classroom Activity: #24, pages
Bliss, Gilbert Ames
1933-01-01
This book, immediately striking for its conciseness, is one of the most remarkable works ever produced on the subject of algebraic functions and their integrals. The distinguishing feature of the book is its third chapter, on rational functions, which gives an extremely brief and clear account of the theory of divisors.... A very readable account is given of the topology of Riemann surfaces and of the general properties of abelian integrals. Abel's theorem is presented, with some simple applications. The inversion problem is studied for the cases of genus zero and genus unity. The chapter on t
School connectedness and high school graduation among maltreated youth.
Lemkin, Allison; Kistin, Caroline J; Cabral, Howard J; Aschengrau, Ann; Bair-Merritt, Megan
2018-01-01
Maltreated youth have higher rates of school dropout than their non-maltreated peers. School connectedness is a modifiable predictor of school success. We hypothesized maltreated youth's school connectedness (supportive relationships with adults at school and participation in school clubs) would be positively associated with high school graduation. We included youth with at least one Child Protective Services (CPS) report by age twelve from Longitudinal Studies of Child Abuse and Neglect, a prospective cohort study. Participation in extracurricular activities and adult relationships reported at age 16, high school graduation/General Education Development (GED) status reported at age 18, and demographics were provided by youth and caregivers. Maltreatment data were coded from CPS records. The outcome was graduation/receipt of GED. Multivariable logistic regressions examined the association between school connectedness and graduation/receipt of GED, controlling for confounders. In our sample of 318 maltreated youth, 73.3% graduated. School club was the only activity with a statistically significant association with graduation in bivariate analysis. Having supportive relationships with an adult at school was not significantly associated with graduation, though only 10.7% of youth reported this relationship. Maltreated youth who participated in school clubs had 2.54 times the odds of graduating, adjusted for study site, gender, poverty status, caregiver high school graduation status, and age at first CPS report (95% CI: [1.02, 6.33]). Few maltreated youth reported relationships with adults at school, and additional efforts may be needed to support these vulnerable youth. School club participation may represent an opportunity to modify maltreated youth's risk for school dropout. Copyright © 2017 Elsevier Ltd. All rights reserved.
Banana Algebra: Compositional syntactic language extension
DEFF Research Database (Denmark)
Andersen, Jacob; Brabrand, Claus; Christiansen, David Raymond
2013-01-01
We propose an algebra of languages and transformations as a means of compositional syntactic language extension. The algebra provides a layer of high-level abstractions built on top of languages (captured by context-free grammars) and transformations (captured by constructive catamorphisms...... algebra as presented in the paper is implemented as the Banana Algebra Tool which may be used to syntactically extend languages in an incremental and modular fashion via algebraic composition of previously defined languages and transformations. We demonstrate and evaluate the tool via several kinds...
Iterated Leavitt Path Algebras
International Nuclear Information System (INIS)
Hazrat, R.
2009-11-01
Leavitt path algebras associate to directed graphs a Z-graded algebra and in their simplest form recover the Leavitt algebras L(1,k). In this note, we introduce iterated Leavitt path algebras associated to directed weighted graphs which have natural ± Z grading and in their simplest form recover the Leavitt algebras L(n,k). We also characterize Leavitt path algebras which are strongly graded. (author)
Algebra II textbook for students of mathematics
Gorodentsev, Alexey L
2017-01-01
This book is the second volume of an intensive “Russian-style” two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures – fields, rings, modules, algebras, groups, and categories – and explains the main principles of and methods for working with them. The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry – topics that are often overlooked in standard undergraduate courses. This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for independent study.
Algebra I textbook for students of mathematics
Gorodentsev, Alexey L
2016-01-01
This book is the first volume of an intensive “Russian-style” two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures – fields, rings, modules, algebras, groups, and categories – and explains the main principles of and methods for working with them. The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry – topics that are often overlooked in standard undergraduate courses. This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for independent study.
Teacher Accountability at High Performing Charter Schools
Aguirre, Moises G.
2016-01-01
This study will examine the teacher accountability and evaluation policies and practices at three high performing charter schools located in San Diego County, California. Charter schools are exempted from many laws, rules, and regulations that apply to traditional school systems. By examining the teacher accountability systems at high performing…
How Middle Grade Teachers Think about Algebraic Reasoning
Glassmeyer, David; Edwards, Belinda
2016-01-01
Algebraic reasoning is an essential habit of mind for building conceptual knowledge in K-12 mathematics, yet little is known about how middle school mathematics teachers think about algebraic reasoning. In this article we describe a research project examining how algebraic reasoning was considered by grades 6, 7, or 8 mathematics teachers in a…
AT-algebras and extensions of AT-algebras
Indian Academy of Sciences (India)
Home; Journals; Proceedings – Mathematical Sciences; Volume 120; Issue 2. A T -Algebras and Extensions of A T ... School of Science, Nanjing University of Science and Technology, Nanjing 210014, People's Republic of China; Department of Mathematics, Tongji University, Shanghai 200092, People's Republic of China ...
Especially for High School Teachers
Howell, J. Emory
2000-01-01
Ideas and Resources in This Issue This issue contains a broad spectrum of topics of potential interest to high school teachers, including chemical safety, history, demonstrations, laboratory activities, electrochemistry, small group learning, and instructional software. In his report on articles published recently in The Science Teacher, Steve Long includes annotated references from that journal, and also from JCE, that provide timely and practical information (pp 21-22). The chemical significance of several anniversaries that will occur in the year 2000 are discussed in an article by Paul Schatz (pp 11-14). Scientists and inventors mentioned include Dumas, Wöhler, Goodyear, Joliot-Curie, Krebs, Pauli, Kjeldahl, and Haworth. Several discoveries are also discussed, including development of the voltaic pile, the use of chlorine to purify water, and the discovery of element 97, berkelium. This is the fourth consecutive year that Schatz has written an anniversaries article (1-3). Although most readers probably do not plan to be teaching in the years 2097-3000, these articles can make a nice addition to your file of readily available historical information for use now in meeting NSES Content Standard G (4). In contrast to the short historical summaries, an in-depth account of the work of Herman Boerhaave is provided by Trinity School (NY) teacher Damon Diemente. You cannot recall having heard of Boerhaave? Diemente explains in detail how Boerhaave's scientific observations, imperfect though they were, contributed significantly to the understanding of temperature and heat by scientists who followed him. Chemical demonstrations attract the interest of most of us, and Kathy Thorsen discusses several that appeared in Chem 13 News during the past year (pp 18-20). Included are demonstrations relating to LeChâtelier's principle, electronegativity, and the synthesis and reactions of carbon monoxide. Ideas for investigating the hydrophobic nature of Magic Sand are given in JCE
Grätzer, George
1979-01-01
Universal Algebra, heralded as ". . . the standard reference in a field notorious for the lack of standardization . . .," has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science. Each chapter is followed by an extensive list of exercises and problems. The "state of the art" account also includes new appendices (with contributions from B. Jónsson, R. Quackenbush, W. Taylor, and G. Wenzel) and a well-selected additional bibliography of over 1250 papers and books which makes this a fine work for students, instructors, and researchers in the field. "This book will certainly be, in the years to come, the basic reference to the subject." --- The American Mathematical Monthly (First Edition) "In this reviewer's opinion [the author] has more than succeeded in his aim. The problems at the end of each chapter are well-chosen; there are more than 650 of them. The book is especially sui...
Sandoval, Ivonne; Solares Rojas, Armando; García-Campos, Montserrat
2017-01-01
We present results of the analysis of knowledge used by a secondary school mathematics teacher in her classroom practice. This knowledge takes shape and is displayed as specific teaching strategies in the management of her class when she incorporates Computer Algebra Systems. Based on observations of regular classes, we find that her knowledge…
Nomi, Takako; Raudenbush, Stephen W.
2014-01-01
Algebra is often considered as a gateway for later achievement. A recent report by the Mathematics Advisory Panel (2008) underscores the importance of improving algebra learning in secondary school. Today, a growing number of states and districts require algebra for all students in ninth grade or earlier. Chicago is at the forefront of this…
Cobb, Tiffany R.
2017-01-01
Purpose: The purpose of this study was to explore and further understand the ways in which middle school and high school students perceive their school experiences within the school environment. School has an important impact on the social development of children (Milsom, 2006). Learning is not done individually as classrooms are inherently social…
Yoneda algebras of almost Koszul algebras
Indian Academy of Sciences (India)
Abstract. Let k be an algebraically closed field, A a finite dimensional connected. (p,q)-Koszul self-injective algebra with p, q ≥ 2. In this paper, we prove that the. Yoneda algebra of A is isomorphic to a twisted polynomial algebra A![t; β] in one inde- terminate t of degree q +1 in which A! is the quadratic dual of A, β is an ...
Especially for High School Teachers
Howell, J. Emory
1999-02-01
Secondary School Feature Articles * Building the Interest of High School Students for Science-A PACT Ambassador Program To Investigate Soap Manufacturing and Industrial Chemistry, by Matthew Lynch, Nicholas Geary, Karen Hagaman, Ann Munson, and Mark Sabo, p 191. * Promoting Chemistry at the Elementary Level, by Larry L. Louters and Richard D. Huisman, p 196. * Is It Real Gold? by Harold H. Harris, p 198. * The "Big Dog-Puppy Dog" Analogy for Resonance, by Todd P. Silverstein, p 206. * The Fizz Keeper, a Case Study in Chemical Education, Equilibrium, and Kinetics, by Reed A. Howald, p 208. Staying on Top: Curricular Projects, Relativistic Effects, and Standard-State Pressure You may wonder why some articles are identified with the Secondary School Chemistry logo (*) this month even though at first glance they appear to be of greater interest to college faculty.1 The three articles discussed below are representative of three broad categories: (i) the interrelatedness of science teaching and learning, K-16+; (ii) new understandings of chemical phenomena; and (iii) information about the use of SI units. For each article I have highlighted the major point(s) and the reasons it may be of interest to high school teachers. First, the article "The NSF 'Systemic' Projects- A New Tradition" (G. M. Barrow, p 158) is a commentary on changes in post-secondary introductory chemistry courses in which a distinction is drawn between information management and individual understanding. The author is of the opinion that most students expect the former and that the NSF-funded systemic projects "will thrive only if they are consistent with their information-management mission". Three individuals provided responses to the commentary from their perspective. Has a student asked you why mercury is a liquid, or why gold is the most electronegative metal? "Gold Chemistry: The Aurophilic Attraction" by J. Bardají and A. Laguna (p 201) and "Why Gold and Copper Are Colored but Silver Is Not" by
Combinatorial Proofs and Algebraic Proofs
Indian Academy of Sciences (India)
Permanent link: https://www.ias.ac.in/article/fulltext/reso/018/07/0630-0645. Keywords. Combinatorial proof; algebraic proof; binomial identity; recurrence relation; composition; Fibonacci number; Fibonacci identity; Pascal triangle. Author Affiliations. Shailesh A Shirali1. Sahyadri School Tiwai Hill, Rajgurunagar Pune 410 ...
Experts Question California's Algebra Edict
Cavanagh, Sean
2008-01-01
Business leaders from important sectors of the American economy have been urging schools to set higher standards in math and science--and California officials, in mandating that 8th graders be tested in introductory algebra, have responded with one of the highest such standards in the land. Still, many California educators and school…
Schools or Students? Identifying High School Effects on Student Suspensions
Baker-Smith, E. Christine
2015-01-01
Evidence is clear that discipline in high school is associated with negative outcomes across the life course. Not only are suspensions related to declining academic trajectories during high school in the form of attendance and academic achievement, students suspended once are also more likely to be suspended again and also substantially increase…
Miyanishi, Masayoshi
2000-01-01
Open algebraic surfaces are a synonym for algebraic surfaces that are not necessarily complete. An open algebraic surface is understood as a Zariski open set of a projective algebraic surface. There is a long history of research on projective algebraic surfaces, and there exists a beautiful Enriques-Kodaira classification of such surfaces. The research accumulated by Ramanujan, Abhyankar, Moh, and Nagata and others has established a classification theory of open algebraic surfaces comparable to the Enriques-Kodaira theory. This research provides powerful methods to study the geometry and topology of open algebraic surfaces. The theory of open algebraic surfaces is applicable not only to algebraic geometry, but also to other fields, such as commutative algebra, invariant theory, and singularities. This book contains a comprehensive account of the theory of open algebraic surfaces, as well as several applications, in particular to the study of affine surfaces. Prerequisite to understanding the text is a basic b...
Relational Thinking: Learning Arithmetic in Order to Promote Algebraic Thinking
Napaphun, Vishnu
2012-01-01
Trends in the curriculum reform propose that algebra should be taught throughout the grades, starting in elementary school. The aim should be to decrease the discontinuity between the arithmetic in elementary school and the algebra in upper grades. This study was conducted to investigate and characterise upper elementary school students…
Especially for High School Teachers
Howell, J. Emory
1999-10-01
Writing Across the Curriculum The notion that student learning is enhanced through writing is widely accepted at all educational levels if the product is fairly assessed and the learner is provided with feedback. Finding the time to critically evaluate student papers is difficult at best and competes with time needed to prepare laboratory investigations. A few weeks ago a teacher who has extensive extracurricular responsibilities that include extensive interaction with parents and community members shared with me his frustration in not being able to grade written reports. This teacher is the head football coach at his school, but many readers experience the same difficulties due to a variety of duties. There are no easy or completely satisfying answers to this problem, but this issue contains an account of a successful approach (Writing in Chemistry: An Effective Learning Tool, pp 1399-1403). Although they are based on experience in college courses, several ideas described in the article could be applied in high school chemistry courses. In another article, the author of Precise Writing for a Precise Science (pp 1407-1408) identifies 20 examples of familiar, but incorrect, grammatical constructions and explains how to phrase each one correctly. Chemical Education Research: Improving Chemistry Learning The results from research on how students learn have greatly increased our understanding of cognition in recent years. However, the results are often published in the science education research literature and are not readily accessible to the classroom teacher. Additionally, the research reports are couched in specialized terminology. This issue contains a Viewpoints article (pp 1353-1361) that bridges the gap between research results and classroom application. It was written by two veteran chemical educators, Dudley Herron and Susan Nurrenbern. The shift from behaviorism to constructivism as the dominant theory of learning is described briefly to provide a context
Said-Houari, Belkacem
2017-01-01
This self-contained, clearly written textbook on linear algebra is easily accessible for students. It begins with the simple linear equation and generalizes several notions from this equation for the system of linear equations and introduces the main ideas using matrices. It then offers a detailed chapter on determinants and introduces the main ideas with detailed proofs. The third chapter introduces the Euclidean spaces using very simple geometric ideas and discusses various major inequalities and identities. These ideas offer a solid basis for understanding general Hilbert spaces in functional analysis. The following two chapters address general vector spaces, including some rigorous proofs to all the main results, and linear transformation: areas that are ignored or are poorly explained in many textbooks. Chapter 6 introduces the idea of matrices using linear transformation, which is easier to understand than the usual theory of matrices approach. The final two chapters are more advanced, introducing t...
Especially for High School Teachers
Howell, J. Emory
1999-05-01
assigned as a take-home activity. JCE Classroom Activity #15, "Liver and Onions: DNA Extraction from Animal and Plant Tissues" (p 400A, March 1999) also integrates chemical and biological concepts. The JCE Software videotape HIV-1 Protease: An Enzyme at Work is another useful resource. It can be used in any classroom where kinetics, catalysis, proteins, or enzymes are discussed. Information about JCE Software products can be found in recent issues of the Journal or by accessing JCE Online (http://jchemed.chem.wisc.edu). Because most high school students complete at least one year of biology before enrolling in chemistry, developing the connections between biology and chemistry can be especially productive. Connections between chemistry and biology often seem to be more real to students than do many of the phenomena we cite as applications. For example, students often are not able to make the connection between the excitation of electrons to produce electromagnetic radiation and anything that is personally relevant. The light given off by sodium or mercury vapor lights provides a common example of relating atomic emission to a useful process, but many students do not seem to find that particularly interesting. The need to make a connection between biology and chemistry becomes especially meaningful to students when the chemical change occurs within the human body. As an example, the interaction of emitted electromagnetic radiation with human cells to cause well-tanned skin seems more relevant to a greater number of students than the color of lights in a parking lot. This issue contains an article that describes a useful application of light to kill cancer cells through use of photosensitizers (p 592). The process of photodynamic therapy (PDT) provides another example that could help students make a connection between the emission of electromagnetic radiation and the challenge of killing cancer cells without harming healthy cells. Certainly this example is not a magic
When and Why Dropouts Leave High School
Stearns, Elizabeth; Glennie, Elizabeth J.
2006-01-01
Teens may leave school because of academic failure, disciplinary problems, or employment opportunities. In this article, the authors test whether the reasons dropouts leave school differ by grade level and age. We compare dropout rates and reasons across grade levels and ages for all high school students, ethnic groups, and gender groups. Across…
The Yoneda algebra of a K2 algebra need not be another K2 algebra
Cassidy, T.; Phan, C.; Shelton, B.
2010-01-01
The Yoneda algebra of a Koszul algebra or a D-Koszul algebra is Koszul. K2 algebras are a natural generalization of Koszul algebras, and one would hope that the Yoneda algebra of a K2 algebra would be another K2 algebra. We show that this is not necessarily the case by constructing a monomial K2 algebra for which the corresponding Yoneda algebra is not K2.
Switching Schools: Reconsidering the Relationship Between School Mobility and High School Dropout
Gasper, Joseph; DeLuca, Stefanie; Estacion, Angela
2014-01-01
Youth who switch schools are more likely to demonstrate a wide array of negative behavioral and educational outcomes, including dropping out of high school. However, whether switching schools actually puts youth at risk for dropout is uncertain, since youth who switch schools are similar to dropouts in their levels of prior school achievement and engagement, which suggests that switching schools may be part of the same long-term developmental process of disengagement that leads to dropping out. Using data from the National Longitudinal Survey of Youth 1997, this study uses propensity score matching to pair youth who switched high schools with similar youth who stayed in the same school. We find that while over half the association between switching schools and dropout is explained by observed characteristics prior to 9th grade, switching schools is still associated with dropout. Moreover, the relationship between switching schools and dropout varies depending on a youth's propensity for switching schools. PMID:25554706
Dzhumadil'daev, A. S.
2002-01-01
Algebras with identity $(a\\star b)\\star (c\\star d) -(a\\star d)\\star(c\\star b)$ $=(a,b,c)\\star d-(a,d,c)\\star b$ are studied. Novikov algebras under Jordan multiplication and Leibniz dual algebras satisfy this identity. If algebra with such identity has unit, then it is associative and commutative.
Introduction to relation algebras relation algebras
Givant, Steven
2017-01-01
The first volume of a pair that charts relation algebras from novice to expert level, this text offers a comprehensive grounding for readers new to the topic. Upon completing this introduction, mathematics students may delve into areas of active research by progressing to the second volume, Advanced Topics in Relation Algebras; computer scientists, philosophers, and beyond will be equipped to apply these tools in their own field. The careful presentation establishes first the arithmetic of relation algebras, providing ample motivation and examples, then proceeds primarily on the basis of algebraic constructions: subalgebras, homomorphisms, quotient algebras, and direct products. Each chapter ends with a historical section and a substantial number of exercises. The only formal prerequisite is a background in abstract algebra and some mathematical maturity, though the reader will also benefit from familiarity with Boolean algebra and naïve set theory. The measured pace and outstanding clarity are particularly ...
Lee, Jaehoon; Wilczek, Frank
2013-11-27
Motivated by the problem of identifying Majorana mode operators at junctions, we analyze a basic algebraic structure leading to a doubled spectrum. For general (nonlinear) interactions the emergent mode creation operator is highly nonlinear in the original effective mode operators, and therefore also in the underlying electron creation and destruction operators. This phenomenon could open up new possibilities for controlled dynamical manipulation of the modes. We briefly compare and contrast related issues in the Pfaffian quantum Hall state.
International Nuclear Information System (INIS)
Ludu, A.; Greiner, M.
1995-09-01
A non-linear associative algebra is realized in terms of translation and dilation operators, and a wavelet structure generating algebra is obtained. We show that this algebra is a q-deformation of the Fourier series generating algebra, and reduces to this for certain value of the deformation parameter. This algebra is also homeomorphic with the q-deformed su q (2) algebra and some of its extensions. Through this algebraic approach new methods for obtaining the wavelets are introduced. (author). 20 refs
Foulis, David J.; Pulmannov, Sylvia
2018-04-01
Using a representation theorem of Erik Alfsen, Frederic Schultz, and Erling Størmer for special JB-algebras, we prove that a synaptic algebra is norm complete (i.e., Banach) if and only if it is isomorphic to the self-adjoint part of a Rickart C∗-algebra. Also, we give conditions on a Banach synaptic algebra that are equivalent to the condition that it is isomorphic to the self-adjoint part of an AW∗-algebra. Moreover, we study some relationships between synaptic algebras and so-called generalized Hermitian algebras.
Expert Strategies in Solving Algebraic Structure Sense Problems: The Case of Quadratic Equations
Jupri, Al; Sispiyati, R.
2017-02-01
Structure sense, an intuitive ability towards symbolic expressions, including skills to interpret, to manipulate, and to perceive symbols in different roles, is considered as a key success in learning algebra. In this article, we report results of three phases of a case study on solving algebraic structure sense problems aiming at testing the appropriateness of algebraic structure sense tasks and at investigating expert strategies dealing with the tasks. First, we developed three tasks on quadratic equations based on the characteristics of structure sense for high school algebra. Next, we validated the tasks to seven experts. In the validation process, we requested these experts to solve each task using two different strategies. Finally, we analyzing expert solution strategies in the light of structure sense characteristics. We found that even if eventual expert strategies are in line with the characteristics of structure sense; some of their initial solution strategies used standard procedures which might pay less attention to algebraic structures. This finding suggests that experts have reconsidered their procedural work and have provided more efficient solution strategies. For further investigation, we consider to test the tasks to high school algebra students and to see whether they produce similar results as experts.
Demographic Factors Affecting Internet Using Purposes of High School Students
Kilic, Abdullah Faruk; Güzeller, Cem Oktay
2017-01-01
This study aimed at determining the impact of demographic factors on the Internet usage purposes of high school students. The population of the study consisted of students between 9th and 12th grades from the Anatolian high schools, science high schools, social sciences high schools, sports high schools and fine arts high schools in Turkey. The…
Barrus, Angela
2013-01-01
This study empirically evaluated the effectiveness of the instructional design, learning tools, and role of the teacher in three versions of a semester-long, high-school remedial Algebra I course to determine what impact self-regulated learning skills and learning pattern training have on students' self-regulation, math achievement, and…
Brendefur, Jonathan
2014-01-01
Much research has been conducted on how elementary students develop mathematical understanding and subsequently how teachers might use this information. This article builds on this type of work by investigating how one high-school algebra teacher designs and conducts a lesson on exponential functions. Through a lesson study format she studies with…
School-Related Factors Affecting High School Seniors' Methamphetamine Use
Stanley, Jarrod M.; Lo, Celia C.
2009-01-01
Data from the 2005 Monitoring the Future survey were used to examine relationships between school-related factors and high school seniors' lifetime methamphetamine use. The study applied logistic regression techniques to evaluate effects of social bonding variables and social learning variables on likelihood of lifetime methamphetamine use. The…
Okpube, Nnaemeka Michael; Anugwo, M. N.
2016-01-01
This study investigated the Card Games and Algebra tic-Tacmatics on Junior Secondary II Students' Achievement in Algebraic Expressions. Three research questions and three null hypotheses guided the study. The study adopted the pre-test, post-test control group design. A total of two hundred and forty (240) Junior Secondary School II students were…
Especially for High School Teachers
Howell, J. Emory
1999-04-01
Secondary School Feature Articles * Amino Acid Wordsearch, by Terry L. Helser, p 495. Games, Puzzles, and Humor In honor of April Fools' Day this issue contains 22 pages devoted to games and puzzles that can be used to teach aspects of chemistry. Most are designed for high school and first-year college students. The lead article, p 481, contains an annotated bibliography of chemistry games, complete with a vendor list. Many of the annotated games must be purchased, but the other articles that follow in this issue describe some games and puzzles that require minimal preparation using a word processor and readily available materials. Actually, JCE has a long tradition of publishing games and puzzles for chemistry teachers and their students. Read the letter by Helser and the Editor's response, p 468, for some recent background. Not having counted articles over past years, I became curious and turned to the online index, accessed by way of http://jchemed.chem.wisc.edu/. Because I wanted to search the entire 75-year life of the Journal, I searched titles for the words "game", "puzzle", and "humor" and obtained a total of 85 hits from the three searches. After eliminating titles of articles that were not applicable, I found that at least 25 games, 48 puzzles, and 5 humor articles have appeared during the past 75 years. At an average of one per year, the JCE editors hardly can be accused of frivolity, but game, puzzle, and humor articles have been published. The term "game" did not appear in any titles during 1945-1970, "puzzle" did not appear from 1927 to 1953, and there was no mention of humor (in the titles) prior to 1974. What appears to be the earliest article (1929) about a game was authored by an undergraduate student at the University of Colorado (1). It was titled "Chemical Bank", and the game pieces were tokens cut from cork stoppers. Wire hooks were inserted in the side of the token to represent valence electrons available for bonding. Carbon contained 4 hooks
Algebra? There's an App for That: Florida Goes Online with Math Support for Teachers and Students
Schackow, Joy Bronston; Cugini, Stephanie
2016-01-01
The transition to Common Core State Standards for Mathematics has created a need for high-quality professional learning on content and pedagogy. This is especially true for algebra 1 teachers in Florida, where students must pass a standards-based exam as a requirement to earning a high school diploma. Time, distance, and cost constraints can get…
Attitudes of High School Students towards Geometry
Directory of Open Access Journals (Sweden)
Esat Avcı
2014-12-01
Full Text Available In this research, attitudes of high school students towards geometry were investigated in terms of gender, grade, types of the field and school. Population of research includes students who were studying at high school in five distincs of Mersin in 2013-2014 academical year. Sample of research includes 935 students from twelve high schools. Attitude scale which was developed by Su-Özenir (2008 was used for data collection. For data analysis, mean, standart deviation, t test and ANOVA were used. A meaningful difference between students’ attitudes towards geometry and variance of gender and grade level wasn’t observed, on the other hand a meaningful difference according to field and school type is observed.Key Words: Attitudes towards geometry, high school geometry lesson, attitude scale
High-Speed Computation of the Kleene Star in Max-Plus Algebraic System Using a Cell Broadband Engine
Goto, Hiroyuki
This research addresses a high-speed computation method for the Kleene star of the weighted adjacency matrix in a max-plus algebraic system. We focus on systems whose precedence constraints are represented by a directed acyclic graph and implement it on a Cell Broadband Engine™ (CBE) processor. Since the resulting matrix gives the longest travel times between two adjacent nodes, it is often utilized in scheduling problem solvers for a class of discrete event systems. This research, in particular, attempts to achieve a speedup by using two approaches: parallelization and SIMDization (Single Instruction, Multiple Data), both of which can be accomplished by a CBE processor. The former refers to a parallel computation using multiple cores, while the latter is a method whereby multiple elements are computed by a single instruction. Using the implementation on a Sony PlayStation 3™ equipped with a CBE processor, we found that the SIMDization is effective regardless of the system's size and the number of processor cores used. We also found that the scalability of using multiple cores is remarkable especially for systems with a large number of nodes. In a numerical experiment where the number of nodes is 2000, we achieved a speedup of 20 times compared with the method without the above techniques.
Quantum cluster algebras and quantum nilpotent algebras
Goodearl, Kenneth R.; Yakimov, Milen T.
2014-01-01
A major direction in the theory of cluster algebras is to construct (quantum) cluster algebra structures on the (quantized) coordinate rings of various families of varieties arising in Lie theory. We prove that all algebras in a very large axiomatically defined class of noncommutative algebras possess canonical quantum cluster algebra structures. Furthermore, they coincide with the corresponding upper quantum cluster algebras. We also establish analogs of these results for a large class of Poisson nilpotent algebras. Many important families of coordinate rings are subsumed in the class we are covering, which leads to a broad range of applications of the general results to the above-mentioned types of problems. As a consequence, we prove the Berenstein–Zelevinsky conjecture [Berenstein A, Zelevinsky A (2005) Adv Math 195:405–455] for the quantized coordinate rings of double Bruhat cells and construct quantum cluster algebra structures on all quantum unipotent groups, extending the theorem of Geiß et al. [Geiß C, et al. (2013) Selecta Math 19:337–397] for the case of symmetric Kac–Moody groups. Moreover, we prove that the upper cluster algebras of Berenstein et al. [Berenstein A, et al. (2005) Duke Math J 126:1–52] associated with double Bruhat cells coincide with the corresponding cluster algebras. PMID:24982197
THE HIGH SCHOOL COUNSELOR BEFORE CONFLICTS AND THE SCHOOL VIOLENCE
Directory of Open Access Journals (Sweden)
Rubén Sánchez-Carranza
2016-01-01
Full Text Available This article aims to reflect on the figure and role of high school counselor in the task of addressing conflict situations in which students are immersed. The existence of a rising tide of violence in school conflicts and how important it is to know what countries in Europe , Asia and Latin America is done to promote a culture of peace is recognized. What happened it is exposed in a high school in Germany and how questions from the critical eye that are applicable to our Mexican reality are issued. Finally, it highlights the importance of skills that the counselor must possess or develop to prevent school conflicts escalate to levels of violence.Finally experience working with the School counselors S033 about this subject area is described.
Game Development as Students’ Engagement Project in High School Mathematics
Directory of Open Access Journals (Sweden)
Ryan V. Dio
2015-12-01
Full Text Available The general expectancies of the enhanced basic education curriculum in the Philippines focuses on the performance standards which can be expressed when students are able to produce products as evidence that they can transfer or use their learning in real-life situations. One way to assess students achievement is through an engaging activities that would require them apply the knowledge and skills acquired in the subject as the outcome of their learning. This descriptive method of research employed content analysis procedures and survey in describing and assessing the significant feature of the mathematical games as potential learning devices developed by the high school students through an engaging task assignment. It utilized purposive sampling techniques in the selection of the respondents and the submitted write-ups of mathematical games for analysis as typical sample in this study. The study revealed that the high school students developed mathematical board games with different objectives and mechanics as inspired by their learning, experiences, hobbies, and interest. Mathematical concepts and processes along numbers and number sense, measurements, algebra, geometry, and probability and statistics were integrated in the game through question card and mechanics of the game itself. The groups of students and teachers have high level of agreement as to the workmanship and usability, mechanics and organization, relevance to instruction/learning, and fun and enjoyment of the game as revealed by their assessment from very satisfactory to excellent level. Results implied that teachers in any subject area may use students’ engagement project as teaching strategy to produce products and performance that would provide evidence of students’ learning. The school curriculum makers may consider the students’ output as subjects of research for further improvements, exhibits, and classroom utilization.
Trust, Behavior, and High School Outcomes
Romero, Lisa S.
2015-01-01
Purpose: The purpose of this paper is to contribute to the literature on student trust and to examine the relationship between student trust, behavior, and academic outcomes in high school. It asks, first, does trust have a positive effect on high school outcomes? Second, does trust influence student behavior, exerting an indirect effect on…
High School Redesign Gets Presidential Lift
Adams, Caralee J.
2013-01-01
President Barack Obama applauded high school redesign efforts in his State of the Union address and encouraged districts to look to successful models for inspiration. Last week, he followed up with a request in his fiscal 2014 budget proposal for a new, $300 million competitive-grant program. Recognition is widespread that high schools need to…
High School Students' Views on Blended Learning
Yapici, Ibrahim Umit; Akbayin, Hasan
2012-01-01
In this study, it is aimed to determine the high school students' views on blended learning. The study was carried out in biology course for the lesson unit of "Classification of Living Things and Biodiversity" with 47 9[superscript th] grade students attending Nevzat Ayaz Anatolian High School in the second term of the academic year of…
Dual Enrollment for High School Students
Edwards, Linsey; Hughes, Katherine
2011-01-01
Dual enrollment programs allow high school students to enroll in college courses and potentially earn college credit. The term concurrent enrollment is sometimes used interchangeably with dual enrollment, and sometimes to refer to a particular model of dual enrollment. In some programs, students earn high school and college credit simultaneously;…
National Standards for High School Psychology Curricula
American Psychologist, 2013
2013-01-01
The "National Standards for High School Psychology Curricula" attempts to represent current knowledge in the field of psychology in developmentally appropriate ways. Psychology is a popular high school course, one that can introduce students to scientific ideas and engage students in the learning process. However, it is difficult for even the best…
The Classification of Romanian High-Schools
Ivan, Ion; Milodin, Daniel; Naie, Lucian
2006-01-01
The article tries to tackle the issue of high-schools classification from one city, district or from Romania. The classification criteria are presented. The National Database of Education is also presented and the application of criteria is illustrated. An algorithm for high-school multi-rang classification is proposed in order to build classes of…
Midcentury Modern High Schools: Rebooting the Architecture
Havens, Kevin
2010-01-01
A high school is more than a building; it's a repository of memories for many community members. High schools built at the turn of the century are not only cultural and civic landmarks, they are also often architectural treasures. When these facilities become outdated, a renovation that preserves the building's aesthetics and character is usually…
High Productivity Programming of Dense Linear Algebra on Heterogeneous NUMA Architectures
Alomairy, Rabab M.
2013-01-01
compromising the overall performance. Our approach fea- tures separation of concerns by abstracting the complexity of the hardware from the end users so that high productivity can be achieved. The Cholesky factorization is used as a benchmark representative
Pedagogical Stances of High School ESL Teachers: "Huelgas" in High School ESL Classrooms
del Carmen Salazar, Maria
2010-01-01
This article presents a qualitative case study of the pedagogical stances of high school English as a Second Language (ESL) teachers, and the subsequent responses of resistance or conformity by their English Language Learners (ELLs). The participants include three high school ESL teachers and 60 high school ESL students of Mexican origin. Findings…
Megert, Diann Ackerman
2005-01-01
This research examined the high school transcripts of honors scholarship recipients to identify a better criterion for awarding scholarships than high school grade point average (GPA) alone. Specifically, this study compared the honors scholarship retention rate when the scholarship was awarded based on completed advanced high school math classes…
Abrams, Gene; Siles Molina, Mercedes
2017-01-01
This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume. Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with ring theorists as well as researchers working in graph C*-algebras, group theory and symbolic dynamics attracted to the topic. Providing a historical perspective on the subject, the authors review existing arguments, establish new results, and outline the major themes and ring-theoretic concepts, such as the ideal structure, Z-grading and the close link between Leavitt path algebras and graph C*-algebras. The book also presents key lines of current research, including the Algebraic Kirchberg Phillips Question, various additional classification questions, and connections to noncommutative algebraic geometry. Leavitt Path Algebras will appeal to graduate students and researchers working in the field and related areas, such as C*-algebras and...
Guide to Geometric Algebra in Practice
Dorst, Leo
2011-01-01
This highly practical "Guide to Geometric Algebra in Practice" reviews algebraic techniques for geometrical problems in computer science and engineering, and the relationships between them. The topics covered range from powerful new theoretical developments, to successful applications, and the development of new software and hardware tools. This title: provides hands-on review exercises throughout the book, together with helpful chapter summaries; presents a concise introductory tutorial to conformal geometric algebra (CGA) in the appendices; examines the application of CGA for the d
Duarte, Jonathan T.
2010-01-01
Although current reform movements have stressed the importance of developing prospective middle school mathematics teachers' subject matter knowledge and understandings, there is a dearth of research studies with regard to prospective middle school teachers' confidence and knowledge with respect to quadratic functions. This study was intended to…
Especially for High School Teachers
Howell, J. Emory
2000-05-01
for You? The end of the school year is approaching quickly. In previous years, several readers have submitted manuscripts soon after the end of the school year, while ideas were fresh in their mind and there was relief from the demands of daily classes. If you have an idea for an article, I encourage you to think about writing as soon as the school term ends. I can probably guess what you are saying, "I don't have anything that readers would be interested in." This is a common reaction, to which we frequently respond by reminding high school teachers that this is "your journal" and the only way to ensure that topics of interest to you are considered or published is by your active participation. In this presidential election year I am reminded of the familiar sentiment, "I voted in the election, so I have earned the right to complain about the politicians." I do not wish to encourage complaining, but there is a relevant correlation. By submitting manuscripts to the Journal, you are ensuring that you will continue to get your money's worth because it will include topics of interest to you. When considering a submission, many prospective authors are overwhelmed at the thought of preparing a complete manuscript. Don't let that stop you. If you have an idea, an outline, or a rough draft, any of the feature editors or I would be happy to discuss it with you. This one-on-one interaction during the development process will help you express your ideas more effectively. Many teachers across the country who are faced with similar situations and problems each day would benefit from an article discussing innovative teaching strategies or a new way to look at principles we teach every year. As you begin to formulate your ideas, I would like to emphasize five features whose editors are fellow teachers: JCE Classroom Activities. An invitation for contributions was issued in the April issue of this column (JCE, 2000, 77, 431). Chemical Principles Revisited, edited by Cary Kilner
Samuel, Pierre
2008-01-01
Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups, rings, fields, ideals, quotient rings and quotient fields, homomorphisms and isomorphisms, modules, and vector spaces. Author Pierre Samuel notes that students benefit from their studies of algebraic number theory by encountering many concepts fundamental to other branches of mathematics - algebraic geometry, in particular.This book assumes a knowledge of basic algebra but supplements its teachings with brief, clear explanations of integrality, algebraic extensions of fields, Gal
Boicescu, V; Georgescu, G; Rudeanu, S
1991-01-01
The Lukasiewicz-Moisil algebras were created by Moisil as an algebraic counterpart for the many-valued logics of Lukasiewicz. The theory of LM-algebras has developed to a considerable extent both as an algebraic theory of intrinsic interest and in view of its applications to logic and switching theory.This book gives an overview of the theory, comprising both classical results and recent contributions, including those of the authors. N-valued and &THgr;-valued algebras are presented, as well as &THgr;-algebras with negation.Mathematicians interested in lattice theory or symbolic logic, and computer scientists, will find in this monograph stimulating material for further research.
Introduction to quantum algebras
International Nuclear Information System (INIS)
Kibler, M.R.
1992-09-01
The concept of a quantum algebra is made easy through the investigation of the prototype algebras u qp (2), su q (2) and u qp (1,1). The latter quantum algebras are introduced as deformations of the corresponding Lie algebras; this is achieved in a simple way by means of qp-bosons. The Hopf algebraic structure of u qp (2) is also discussed. The basic ingredients for the representation theory of u qp (2) are given. Finally, in connection with the quantum algebra u qp (2), the qp-analogues of the harmonic oscillator are discussed and of the (spherical and hyperbolical) angular momenta. (author) 50 refs
An introduction to Clifford algebras and spinors
Vaz, Jayme
2016-01-01
This text explores how Clifford algebras and spinors have been sparking a collaboration and bridging a gap between Physics and Mathematics. This collaboration has been the consequence of a growing awareness of the importance of algebraic and geometric properties in many physical phenomena, and of the discovery of common ground through various touch points: relating Clifford algebras and the arising geometry to so-called spinors, and to their three definitions (both from the mathematical and physical viewpoint). The main point of contact are the representations of Clifford algebras and the periodicity theorems. Clifford algebras also constitute a highly intuitive formalism, having an intimate relationship to quantum field theory. The text strives to seamlessly combine these various viewpoints and is devoted to a wider audience of both physicists and mathematicians. Among the existing approaches to Clifford algebras and spinors this book is unique in that it provides a didactical presentation of the topic and i...
Wallace, Jessica; Covassin, Tracey; Nogle, Sally; Gould, Daniel; Kovan, Jeffrey
2017-09-01
We determined differences in knowledge of concussion and reporting behaviors of high school athletes attending urban and suburban high schools, and whether a relationship exists between underreporting and access to an athletic trainer in urban schools. High school athletes (N = 715) from 14 high schools completed a validated knowledge of concussion survey consisting of 83 questions. The independent variable was school type (urban/suburban). We examined the proportion of athletes who correctly identified signs and symptoms of concussion, knowledge of concussion and reasons why high school athletes would not disclose a potential concussive injury across school classification. Data were analyzed using descriptive, non-parametric, and inferential statistics. Athletes attending urban schools have less concussion knowledge than athletes attending suburban schools (p urban schools without an athletic trainer have less knowledge than urban athletes at schools with an athletic trainer (p urban schools and 10 reasons for not reporting. Concussion education efforts cannot be homogeneous in all communities. Education interventions must reflect the needs of each community. © 2017, American School Health Association.
An algebraic description of identical bands and of high-spin quadrupole collectivity
International Nuclear Information System (INIS)
Guidry, M.W.
1993-01-01
The Fermion Dynamical Symmetry Model (FDSM) has been used to describe electric quadrupole transition rates and static moments at high angular momentum in deformed nuclei. A quantitative description of these phenomena appears possible by these means. The formalism accounts naturally for those cases where significant reductions in B(E2) values are accompanied by relatively constant moments of inertia. A discussion of identical bands as being due to a dynamical symmetry will be given. The empirical properties of these bands and general principles of group theory will be used to place constraints on an acceptable symmetry. A model that represents a minimal implementation of these criteria will be presented
DiMatteo, Henry
2012-01-01
This study surveyed New Mexico high school principals on their current state of preparedness for serious school violence. The researcher surveyed 119 public high schools, receiving a 65% return rate from a 25-question survey. Specifically, this study analyzed the relationships of three predictor variables: prevention, response, and building of…
Moduli spaces in algebraic geometry
International Nuclear Information System (INIS)
Goettsche, L.
2000-01-01
This volume of the new series of lecture notes of the Abdus Salam International Centre for Theoretical Physics contains the lecture notes of the School on Algebraic Geometry which took place at the Abdus Salam International Centre for Theoretical Physics from 26 July to 13 August 1999. The school consisted of 2 weeks of lecture courses and one week of conference. The topic of the school was moduli spaces. More specifically the lectures were divided into three subtopics: principal bundles on Riemann surfaces, moduli spaces of vector bundles and sheaves on projective varieties, and moduli spaces of curves
Should School Boards Discontinue Support for High School Football?
Margolis, Lewis H; Canty, Greg; Halstead, Mark; Lantos, John D
2017-01-01
A pediatrician is asked by her local school board to help them decide whether to discontinue their high school football program. She reviews the available evidence on the risks of football and finds it hopelessly contradictory. Some scholars claim that football is clearly more dangerous than other sports. Others suggest that the risks of football are comparable to other sports, such as lacrosse, ice hockey, or soccer. She finds very little data on the long-term sequelae of concussions. She sees claims that good coaching and a school culture that prioritizes the health of athletes over winning can reduce morbidity from sports injuries. In this paper, 3 experts also review the evidence about sports risks and discuss what is known and not known about the science and the ethics of high school football. Copyright © 2017 by the American Academy of Pediatrics.
Armendáriz, Joyzukey; Tarango, Javier; Machin-Mastromatteo, Juan Daniel
2018-01-01
This descriptive and correlational research studies 15,658 students from 335 secondary schools in the state of Chihuahua, Mexico, through the results of the examination of admission to high school education (National High School Admission Test--EXANI I from the National Assessment Center for Education--CENEVAL) on logical-mathematical and verbal…
High school science fair and research integrity
Dalley, Simon; Shepherd, Karen; Reisch, Joan
2017-01-01
Research misconduct has become an important matter of concern in the scientific community. The extent to which such behavior occurs early in science education has received little attention. In the current study, using the web-based data collection program REDCap, we obtained responses to an anonymous and voluntary survey about science fair from 65 high school students who recently competed in the Dallas Regional Science and Engineering Fair and from 237 STEM-track, post-high school students (undergraduates, 1st year medical students, and 1st year biomedical graduate students) doing research at UT Southwestern Medical Center. Of the post-high school students, 24% had competed in science fair during their high school education. Science fair experience was similar overall for the local cohort of Dallas regional students and the more diverse state/national cohort of post-high school students. Only one student out of 122 reported research misconduct, in his case making up the data. Unexpectedly, post-high school students who did not participate in science fair anticipated that carrying out science fair would be much more difficult than actually was the case, and 22% of the post-high school students anticipated that science fair participants would resort to research misconduct to overcome obstacles. No gender-based differences between students’ science fair experiences or expectations were evident. PMID:28328976
Demographic Factors Affecting Internet Using Purposes of High School Students
Abdullah Faruk Kılıç; Cem Oktay Güzeller
2017-01-01
This study aimed at determining the impact of demographic factors on the Internet usage purposes of high school students. The population of the study consisted of students between 9th and 12th grades from the Anatolian high schools, science high schools, social sciences high schools, sports high schools and fine arts high schools in Turkey. The sample was chosen through the stratified and cluster sampling procedure. The students were chosen randomly depending on the regions of their school at...
Teaching Bioethics in High Schools
Araújo, Joana; Gomes, Carlos Costa; Jácomo, António; Pereira, Sandra Martins
2017-01-01
Objective: The Bioethics Teaching in Secondary Education (Project BEST) aims to promote the teaching of bioethics in secondary schools. This paper describes the development and implementation of the programme in Portugal. Design: Programme development involved two main tasks: (1) using the learning tools previously developed by the US Northwest…
Generalized EMV-Effect Algebras
Borzooei, R. A.; Dvurečenskij, A.; Sharafi, A. H.
2018-04-01
Recently in Dvurečenskij and Zahiri (2017), new algebraic structures, called EMV-algebras which generalize both MV-algebras and generalized Boolean algebras, were introduced. We present equivalent conditions for EMV-algebras. In addition, we define a partial algebraic structure, called a generalized EMV-effect algebra, which is close to generalized MV-effect algebras. Finally, we show that every generalized EMV-effect algebra is either an MV-effect algebra or can be embedded into an MV-effect algebra as a maximal ideal.
Split School of High Energy Physics 2015
2015-01-01
Split School of High Energy Physics 2015 (SSHEP 2015) was held at the Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture (FESB), University of Split, from September 14 to September 18, 2015. SSHEP 2015 aimed at master and PhD students who were interested in topics pertaining to High Energy Physics. SSHEP 2015 is the sixth edition of the High Energy Physics School. Previous five editions were held at the Department of Physics, University of Sarajevo, Bosnia and Herzegovina.
Technology Leadership in Malaysia's High Performance School
Yieng, Wong Ai; Daud, Khadijah Binti
2017-01-01
Headmaster as leader of the school also plays a role as a technology leader. This applies to the high performance schools (HPS) headmaster as well. The HPS excel in all aspects of education. In this study, researcher is interested in examining the role of the headmaster as a technology leader through interviews with three headmasters of high…
Successful Transition to High School. Research Brief
Education Partnerships, Inc., 2012
2012-01-01
What steps can be taken to assure that 8th graders make a successful transition to 9th grade? More students fail ninth grade than any other grade level. When middle school students took part in high school transition programs with a variety of different articulation activities, fewer students were retained in ninth grade. Ideally, these transition…
Teacher Reflective Practice in Jesuit High Schools
Klug, Joseph H.
2010-01-01
Teachers who engage in reflective practice are more effective and may encourage higher student achievement. The purpose of this study is to explore and describe the methods that teachers use in order to engage in reflective practice. Further, it is essential to gain an understanding of how schools, including Jesuit high schools, promote reflective…
Cultures of Learning in Effective High Schools
Tichnor-Wagner, Ariel; Harrison, Christopher; Cohen-Vogel, Lora
2016-01-01
Purpose: Research indicates that a culture of learning is a key factor in building high schools that foster academic achievement in all students. Yet less is known about which elements of a culture of learning differentiate schools with higher levels of academic performance. To fill this gap, this comparative case study examined the cultures of…
High School Teachers' Identities: Constructing Civic Selves
Obenchain, Kathryn M.; Balkute, Asta; Vaughn, Erin; White, Shannon
2016-01-01
Research suggests that teachers play a role in the type of citizenship education implemented in schools. The purpose of this qualitative case study was to explore how two high school teachers understood and enacted their civic identities as a dimension of their teacher identities. Findings suggest that factors contributing to an individual's civic…
Scientific Literacy of High School Students.
Lucas, Keith B.; Tulip, David F.
This investigation was undertaken in order to establish the status of scientific literacy among three groups of secondary school students in four Brisbane, Australia high schools, and to reduce the apparent reticence of science teachers to evaluate students' achievement in the various dimensions of scientific literacy by demonstrating appropriate…
Matsumoto, Paul S.
2014-01-01
The article describes the use of Mathematica, a computer algebra system (CAS), in a high school chemistry course. Mathematica was used to generate a graph, where a slider controls the value of parameter(s) in the equation; thus, students can visualize the effect of the parameter(s) on the behavior of the system. Also, Mathematica can show the…
To Math or Not to Math: The Algebra-Calculus Pipeline and Postsecondary Mathematics Remediation
Showalter, Daniel A.
2017-01-01
This article reports on a study designed to estimate the effect of high school coursetaking in the algebra-calculus pipeline on the likelihood of placing out of postsecondary remedial mathematics. A nonparametric variant of propensity score analysis was used on a nationally representative data set to remove selection bias and test for an effect…
Asveld, P.R.J.
1976-01-01
Operaties op formele talen geven aanleiding tot bijbehorende operatoren op families talen. Bepaalde onderwerpen uit de algebra (universele algebra, tralies, partieel geordende monoiden) kunnen behulpzaam zijn in de studie van verzamelingen van dergelijke operatoren.
Rudiments of algebraic geometry
Jenner, WE
2017-01-01
Aimed at advanced undergraduate students of mathematics, this concise text covers the basics of algebraic geometry. Topics include affine spaces, projective spaces, rational curves, algebraic sets with group structure, more. 1963 edition.
Shields, Regis Anne; Ireland, Nicole; City, Elizabeth; Derderian, Julie; Miles, Karen Hawley
2008-01-01
This report is one of nine detailed case studies of small urban high schools that served as the foundation for the Education Resource Strategies (ERS) report "Strategic Designs: Lessons from Leading Edge Small Urban High Schools." These nine schools were dubbed "Leading Edge Schools" because they stand apart from other high…
High School Students’ Social Media Addiction
Deniz, Levent; Gürültü, Ercan
2018-01-01
Theaim of this study is to investigate high school students’ social mediaaddiction. The study was conducted with 473 students who were educated in2014-2015 academic year at 6 different schools in İstanbul, Eyüp disctrict.‘Social Media Addiction Scale’ developed by Tutgun, Ünal and Deniz (2015) wasused to determine the students’ social media addiction. The results in general showedthat high school students have a medium level social media addiction. Besides,it was also concluded that high scho...
Cylindric-like algebras and algebraic logic
Ferenczi, Miklós; Németi, István
2013-01-01
Algebraic logic is a subject in the interface between logic, algebra and geometry, it has strong connections with category theory and combinatorics. Tarski’s quest for finding structure in logic leads to cylindric-like algebras as studied in this book, they are among the main players in Tarskian algebraic logic. Cylindric algebra theory can be viewed in many ways: as an algebraic form of definability theory, as a study of higher-dimensional relations, as an enrichment of Boolean Algebra theory, or, as logic in geometric form (“cylindric” in the name refers to geometric aspects). Cylindric-like algebras have a wide range of applications, in, e.g., natural language theory, data-base theory, stochastics, and even in relativity theory. The present volume, consisting of 18 survey papers, intends to give an overview of the main achievements and new research directions in the past 30 years, since the publication of the Henkin-Monk-Tarski monographs. It is dedicated to the memory of Leon Henkin.
National standards for high school psychology curricula.
2013-01-01
The National Standards for High School Psychology Curricula attempts to represent current knowledge in the field of psychology in developmentally appropriate ways. Psychology is a popular high school course, one that can introduce students to scientific ideas and engage students in the learning process. However, it is difficult for even the best of teachers to present all of psychology in a single course for students who begin with virtually no formal knowledge of psychology. The standards presented here constitute the first of two reports in this issue of the American Psychologist (January 2013) representing recent American Psychological Association (APA) policies that support high-quality instruction in the teaching of high school psychology. These standards provide curricular benchmarks for student learning in the high school course.
Using CRA to Teach Algebra to Students with Math Difficulties in Inclusive Settings
Witzel, Bradley S.
2005-01-01
The importance of algebra instruction has increased in the United States in the past few years. Thus, in most states, middle school students are required to take Algebra 1. Middle school students with math difficulties in inclusion algebra settings may require a different instructional approach. The purpose of this research was to compare student…
Categories and Commutative Algebra
Salmon, P
2011-01-01
L. Badescu: Sur certaines singularites des varietes algebriques.- D.A. Buchsbaum: Homological and commutative algebra.- S. Greco: Anelli Henseliani.- C. Lair: Morphismes et structures algebriques.- B.A. Mitchell: Introduction to category theory and homological algebra.- R. Rivet: Anneaux de series formelles et anneaux henseliens.- P. Salmon: Applicazioni della K-teoria all'algebra commutativa.- M. Tierney: Axiomatic sheaf theory: some constructions and applications.- C.B. Winters: An elementary lecture on algebraic spaces.
Abstract algebra for physicists
International Nuclear Information System (INIS)
Zeman, J.
1975-06-01
Certain recent models of composite hadrons involve concepts and theorems from abstract algebra which are unfamiliar to most theoretical physicists. The algebraic apparatus needed for an understanding of these models is summarized here. Particular emphasis is given to algebraic structures which are not assumed to be associative. (2 figures) (auth)
Combinatorial commutative algebra
Miller, Ezra
2005-01-01
Offers an introduction to combinatorial commutative algebra, focusing on combinatorial techniques for multigraded polynomial rings, semigroup algebras, and determined rings. The chapters in this work cover topics ranging from homological invariants of monomial ideals and their polyhedral resolutions, to tools for studying algebraic varieties.
CERN launches high-school internship programme
Johnston, Hamish
2017-07-01
The CERN particle-physics lab has hosted 22 high-school students from Hungary in a pilot programme designed to show teenagers how science, technology, engineering and mathematics is used at the particle-physics lab.
Junior High School Pupils' Perceptions of Air
African Journals Online (AJOL)
cce
Abstract. The study examined Junior High School (JHS) pupils' ideas of the concept air. The ... Stavy (1991) reported that students in his physics class had ... Research studies found that even after having been taught the particulate theory and.
Lopez, Cesar
2014-01-01
MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. MATLAB Linear Algebra introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. In addition to giving an introduction to
High School Teacher Perceptions of Empowerment
Jacobs, Tricia Susan
2014-01-01
As the responsibilities of principals become more complex and as accountability becomes more evident in K-12 cultures, it becomes increasingly important that high school principals be trained to empower teachers. This paper examined the research concerning the conditions of the empowerment of teachers. More specifically, it measured high school teachers' perspectives concerning their levels of empowerment by their principals based on the four domains of empowerment: meaning, competence, sel...
Heppen, Jessica; Allensworth, Elaine; Walters, Kirk; Pareja, Amber Stitziel; Kurki, Anja; Nomi, Takako; Sorensen, Nicholas
2011-01-01
Credit recovery is one strategy to deal with high failure rates. The primary goal of credit recovery programs is to give students an opportunity to retake classes that they failed in an effort to get them back on track and keep them in school (Watson & Gemin, 2008). Most recently, as schools across the nation struggle to keep students on track…
The New Urban High School: A Practitioner's Guide.
Big Picture Co., Cambridge, MA.
In October 1996, the Big Picture Company set out to find six urban high schools that use school-to-work strategies as a lever for whole-school reform. In the schools finally selected for the New Urban High Schools Project, and in others examined for the study, "school-to-work" is a misnomer, because the majority of students are entering…
International Nuclear Information System (INIS)
Krivonos, S.O.; Sorin, A.S.
1994-06-01
We show that the Zamolodchikov's and Polyakov-Bershadsky nonlinear algebras W 3 and W (2) 3 can be embedded as subalgebras into some linear algebras with finite set of currents. Using these linear algebras we find new field realizations of W (2) 3 and W 3 which could be a starting point for constructing new versions of W-string theories. We also reveal a number of hidden relationships between W 3 and W (2) 3 . We conjecture that similar linear algebras can exist for other W-algebra as well. (author). 10 refs
International Nuclear Information System (INIS)
Hudetz, T.
1989-01-01
As a 'by-product' of the Connes-Narnhofer-Thirring theory of dynamical entropy for (originally non-Abelian) nuclear C * -algebras, the well-known variational principle for topological entropy is eqivalently reformulated in purly algebraically defined terms for (separable) Abelian C * -algebras. This 'algebraic variational principle' should not only nicely illustrate the 'feed-back' of methods developed for quantum dynamical systems to the classical theory, but it could also be proved directly by 'algebraic' methods and could thus further simplify the original proof of the variational principle (at least 'in principle'). 23 refs. (Author)
Algorithms in Algebraic Geometry
Dickenstein, Alicia; Sommese, Andrew J
2008-01-01
In the last decade, there has been a burgeoning of activity in the design and implementation of algorithms for algebraic geometric computation. Some of these algorithms were originally designed for abstract algebraic geometry, but now are of interest for use in applications and some of these algorithms were originally designed for applications, but now are of interest for use in abstract algebraic geometry. The workshop on Algorithms in Algebraic Geometry that was held in the framework of the IMA Annual Program Year in Applications of Algebraic Geometry by the Institute for Mathematics and Its
Computer algebra and operators
Fateman, Richard; Grossman, Robert
1989-01-01
The symbolic computation of operator expansions is discussed. Some of the capabilities that prove useful when performing computer algebra computations involving operators are considered. These capabilities may be broadly divided into three areas: the algebraic manipulation of expressions from the algebra generated by operators; the algebraic manipulation of the actions of the operators upon other mathematical objects; and the development of appropriate normal forms and simplification algorithms for operators and their actions. Brief descriptions are given of the computer algebra computations that arise when working with various operators and their actions.
Directory of Open Access Journals (Sweden)
Story Mary
2005-10-01
Full Text Available Abstract Objectives This study examined associations between high school students' lunch patterns and vending machine purchases and the school food environment and policies. Methods A randomly selected sample of 1088 high school students from 20 schools completed surveys about their lunch practices and vending machine purchases. School food policies were assessed by principal and food director surveys. The number of vending machines and their hours of operation were assessed by trained research staff. Results Students at schools with open campus policies during lunchtime were significantly more likely to eat lunch at a fast food restaurant than students at schools with closed campus policies (0.7 days/week vs. 0.2 days/week, p Conclusion School food policies that decrease access to foods high in fats and sugars are associated with less frequent purchase of these items in school among high school students. Schools should examine their food-related policies and decrease access to foods that are low in nutrients and high in fats and sugars.
International Nuclear Information System (INIS)
Nikityuk, N.M.
1989-01-01
The results of investigations of using the algebraic coding theory for the creation of parallel encoders, majority coincidence schemes and coordinate processors for the first and second trigger levels are described. Concrete examples of calculation and structure of special-purpose processor using the table arithmetic method are given for multiplicity t ≤ 5. The question of using parallel and sequential syndrome coding methods for the registration of events with clusters is discussed. 30 refs.; 10 figs
Contemporary developments in algebraic K-theory
International Nuclear Information System (INIS)
Karoubi, M.; Kuku, A.O.; Pedrini, C.
2003-01-01
The School and Conference on Algebraic K-theory which took place at ICTP July 8-26, 2002 was a follow-up to the earlier one in 1997, and like its predecessor, the 2002 meeting endeavoured to emphasise the multidisciplinary aspects of the subject. However, one special feature of the 2002 School and Conference is that the whole activity was dedicated to H. Bass, one of the founders of Algebraic K-theory, on the occasion of his seventieth birthday. The School during the first two weeks, July 8 to 19 was devoted to expository lectures meant to explore and highlight connections between K-theory and several other areas of mathematics - Algebraic Topology, Number theory, Algebraic Geometry, Representation theory, and Non-commutative Geometry. This volume, constituting the Proceedings of the School, is dedicated to H. Bass. The Proceedings of the Conference during the last week July 22 - 26, which will appear in Special issues of K-theory, is also dedicated to H. Bass. The opening contribution by M. Karoubi to this volume consists of a comprehensive survey of developments in K-theory in the last forty-five years, and covers a very broad spectrum of the subject, including Topological K-theory, Atiyah-Singer index theorem, K-theory of Banach algebras, Higher Algebraic K-theory, Cyclic Homology etc. J. Berrick's contribution on 'Algebraic K-theory and Algebraic Topology' treats the various topological constructions of Algebraic K-theory together with the underlying homotopy theory. Topics covered include the plus construction together with its various ramifications and applications, Topological Hochschild and Cyclic Homology as well as K-theory of the ring of integers. The contributions by M. Kolster titled 'K-theory and Arithmetics' includes such topics as values of zeta functions and relations to K-theory, K-theory of integers in number fields and associated conjectures, Etale cohomology, Iwasawa theory etc. A.O. Kuku's contributions on 'K-theory and Representation theory
Highlighting High Performance: Whitman Hanson Regional High School; Whitman, Massachusetts
Energy Technology Data Exchange (ETDEWEB)
2006-06-01
This brochure describes the key high-performance building features of the Whitman-Hanson Regional High School. The brochure was paid for by the Massachusetts Technology Collaborative as part of their Green Schools Initiative. High-performance features described are daylighting and energy-efficient lighting, indoor air quality, solar and wind energy, building envelope, heating and cooling systems, water conservation, and acoustics. Energy cost savings are also discussed.
Lectures on algebraic statistics
Drton, Mathias; Sullivant, Seth
2009-01-01
How does an algebraic geometer studying secant varieties further the understanding of hypothesis tests in statistics? Why would a statistician working on factor analysis raise open problems about determinantal varieties? Connections of this type are at the heart of the new field of "algebraic statistics". In this field, mathematicians and statisticians come together to solve statistical inference problems using concepts from algebraic geometry as well as related computational and combinatorial techniques. The goal of these lectures is to introduce newcomers from the different camps to algebraic statistics. The introduction will be centered around the following three observations: many important statistical models correspond to algebraic or semi-algebraic sets of parameters; the geometry of these parameter spaces determines the behaviour of widely used statistical inference procedures; computational algebraic geometry can be used to study parameter spaces and other features of statistical models.
International Nuclear Information System (INIS)
Goddard, Peter
1990-01-01
The algebra of the group of conformal transformations in two dimensions consists of two commuting copies of the Virasoro algebra. In many mathematical and physical contexts, the representations of ν which are relevant satisfy two conditions: they are unitary and they have the ''positive energy'' property that L o is bounded below. In an irreducible unitary representation the central element c takes a fixed real value. In physical contexts, the value of c is a characteristic of a theory. If c < 1, it turns out that the conformal algebra is sufficient to ''solve'' the theory, in the sense of relating the calculation of the infinite set of physically interesting quantities to a finite subset which can be handled in principle. For c ≥ 1, this is no longer the case for the algebra alone and one needs some sort of extended conformal algebra, such as the superconformal algebra. It is these algebras that this paper aims at addressing. (author)
Algebraic conformal field theory
International Nuclear Information System (INIS)
Fuchs, J.; Nationaal Inst. voor Kernfysica en Hoge-Energiefysica
1991-11-01
Many conformal field theory features are special versions of structures which are present in arbitrary 2-dimensional quantum field theories. So it makes sense to describe 2-dimensional conformal field theories in context of algebraic theory of superselection sectors. While most of the results of the algebraic theory are rather abstract, conformal field theories offer the possibility to work out many formulae explicitly. In particular, one can construct the full algebra A-bar of global observables and the endomorphisms of A-bar which represent the superselection sectors. Some explicit results are presented for the level 1 so(N) WZW theories; the algebra A-bar is found to be the enveloping algebra of a Lie algebra L-bar which is an extension of the chiral symmetry algebra of the WZW theory. (author). 21 refs., 6 figs
International Nuclear Information System (INIS)
Feigin, B.L.; Semikhatov, A.M.
2004-01-01
We construct W-algebra generalizations of the sl-circumflex(2) algebra-W algebras W n (2) generated by two currents E and F with the highest pole of order n in their OPE. The n=3 term in this series is the Bershadsky-Polyakov W 3 (2) algebra. We define these algebras as a centralizer (commutant) of the Uqs-bar (n vertical bar 1) quantum supergroup and explicitly find the generators in a factored, 'Miura-like' form. Another construction of the W n (2) algebras is in terms of the coset sl-circumflex(n vertical bar 1)/sl-circumflex(n). The relation between the two constructions involves the 'duality' (k+n-1)(k'+n-1)=1 between levels k and k' of two sl-circumflex(n) algebras
Bicovariant quantum algebras and quantum Lie algebras
International Nuclear Information System (INIS)
Schupp, P.; Watts, P.; Zumino, B.
1993-01-01
A bicovariant calculus of differential operators on a quantum group is constructed in a natural way, using invariant maps from Fun(G q ) to U q g, given by elements of the pure braid group. These operators - the 'reflection matrix' Y= triple bond L + SL - being a special case - generate algebras that linearly close under adjoint actions, i.e. they form generalized Lie algebras. We establish the connection between the Hopf algebra formulation of the calculus and a formulation in compact matrix form which is quite powerful for actual computations and as applications we find the quantum determinant and an orthogonality relation for Y in SO q (N). (orig.)
The Boolean algebra and central Galois algebras
Directory of Open Access Journals (Sweden)
George Szeto
2001-01-01
Full Text Available Let B be a Galois algebra with Galois group G, Jg={b∈B∣bx=g(xb for all x∈B} for g∈G, and BJg=Beg for a central idempotent eg. Then a relation is given between the set of elements in the Boolean algebra (Ba,≤ generated by {0,eg∣g∈G} and a set of subgroups of G, and a central Galois algebra Be with a Galois subgroup of G is characterized for an e∈Ba.
Directory of Open Access Journals (Sweden)
Eugenia Altagracia Castro Araujo
2017-09-01
Full Text Available ABSTRACT This paper describes partial results of a research on the understanding of algebraic problems in the secondary level of the Dominican Republic, where the current state of this problem is characterized in public schools in the country with the objective of offering a didactic approach. The research was carried out with the use of methods of the theoretical level, in particular, the analysis-synthesis and the documentary revision, as well as empirical methods. For the characterization, the indicators of teaching planning dimensions, execution of teaching-learning the process of the understanding of algebraic problems and analysis of the performance of the students in the understanding of algebraic problems are established. From this characterization, a methodological strategy was designed as a solution to the problem described. Keywords: problem-solving, abstract thinking, instructional design, teaching method.
Nonflexible Lie-admissible algebras
International Nuclear Information System (INIS)
Myung, H.C.
1978-01-01
We discuss the structure of Lie-admissible algebras which are defined by nonflexible identities. These algebras largely arise from the antiflexible algebras, 2-varieties and associator dependent algebras. The nonflexible Lie-admissible algebras in our discussion are in essence byproducts of the study of nonassociative algebras defined by identities of degree 3. The main purpose is to discuss the classification of simple Lie-admissible algebras of nonflexible type
Teaching Quantitative Reasoning: A Better Context for Algebra
Eric Gaze
2014-01-01
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, Mathemat...
Who's Teaching What in High School Physics?
White, Susan; Tyler, John
2015-01-01
During the 2012-13 school year, approximately 27,000 teachers taught at least one physics course in a U.S. high school. About one-third of those teachers have earned a degree in physics or physics education; the vast majority of the others have earned degrees in a variety of other science fields. About 53,000 physics classes were taught, ranging…
Recoupling Lie algebra and universal ω-algebra
International Nuclear Information System (INIS)
Joyce, William P.
2004-01-01
We formulate the algebraic version of recoupling theory suitable for commutation quantization over any gradation. This gives a generalization of graded Lie algebra. Underlying this is the new notion of an ω-algebra defined in this paper. ω-algebra is a generalization of algebra that goes beyond nonassociativity. We construct the universal enveloping ω-algebra of recoupling Lie algebras and prove a generalized Poincare-Birkhoff-Witt theorem. As an example we consider the algebras over an arbitrary recoupling of Z n graded Heisenberg Lie algebra. Finally we uncover the usual coalgebra structure of a universal envelope and substantiate its Hopf structure
Syntactic Language Extension via an Algebra of Languages and Transformations
DEFF Research Database (Denmark)
Andersen, Jacob; Brabrand, Claus
2010-01-01
We propose an algebra of languages and transformations as a means for extending languages syntactically. The algebra provides a layer of high-level abstractions built on top of languages (captured by context-free grammars) and transformations (captured by constructive catamorphisms). The algebra...... is self-contained in that any term of the algebra specifying a transformation can be reduced to a catamorphism, before the transformation is run. Thus, the algebra comes “for free” without sacrificing the strong safety and efficiency properties of constructive catamorphisms. The entire algebra...... as presented in the paper is implemented as the Banana Algebra Tool which may be used to syntactically extend languages in an incremental and modular fashion via algebraic composition of previously defined languages and transformations. We demonstrate and evaluate the tool via several kinds of extensions....
Hurwitz Algebras and the Octonion Algebra
Burdik, Čestmir; Catto, Sultan
2018-02-01
We explore some consequences of a theory of internal symmetries for elementary particles constructed on exceptional quantum mechanical spaces based on Jordan algebra formulation that admit exceptional groups as gauge groups.
Cyberbullying Among Greek High School Adolescents.
Gkiomisi, Athanasia; Gkrizioti, Maria; Gkiomisi, Athina; Anastasilakis, Dimitrios A; Kardaras, Panagiotis
2017-05-01
To investigate the presence of cyberbullying among Greek students and the efficacy of proposed preventive interventions. Three types of high schools (private, experimental and public) with different politics on on-line aggression were enrolled. All students of the aforementioned schools were asked to complete an anonymous questionnaire. Around 62 % of the high school students experienced cyberbullying by electronic means, especially by cell phone, mostly the public school students (p 0.008). The bully was a stranger in more than 40 % of the cases. Over 60 % of the victims had not seeked help but dealt with the attack on their own. Only 20 % of the victims manifested sleep or eating disorders, physical/ psychological symptoms or changes in their social life as a consequence of the cyber-attack. Cyberbullying is a usual phenomenon among high school students. The bully is frequently unacquainted to the victim. Most of the victims are not physically or psychologically affected by the cyber-attack and do not share the event with anyone. There was a slight difference in the response of the students to cyberbullying among the different school politics of on-line aggression.
Extended Virasoro algebra and algebra of area preserving diffeomorphisms
International Nuclear Information System (INIS)
Arakelyan, T.A.
1990-01-01
The algebra of area preserving diffeomorphism plays an important role in the theory of relativistic membranes. It is pointed out that the relation between this algebra and the extended Virasoro algebra associated with the generalized Kac-Moody algebras G(T 2 ). The highest weight representation of these infinite-dimensional algebras as well as of their subalgebras is studied. 5 refs
Linear algebra meets Lie algebra: the Kostant-Wallach theory
Shomron, Noam; Parlett, Beresford N.
2008-01-01
In two languages, Linear Algebra and Lie Algebra, we describe the results of Kostant and Wallach on the fibre of matrices with prescribed eigenvalues of all leading principal submatrices. In addition, we present a brief introduction to basic notions in Algebraic Geometry, Integrable Systems, and Lie Algebra aimed at specialists in Linear Algebra.
Aberration studies and computer algebra
International Nuclear Information System (INIS)
Hawkes, P.W.
1981-01-01
The labour of calculating expressions for aberration coefficients is considerably lightened if a computer algebra language is used to perform the various substitutions and expansions involved. After a brief discussion of matrix representations of aberration coefficients, a particular language, which has shown itself to be well adapted to particle optics, is described and applied to the study of high frequency cavity lenses. (orig.)
Multimodal Behavior Therapy: Case Study of a High School Student.
Seligman, Linda
1981-01-01
A case study of a high school student concerned with weight problems illustrates multimodal behavior therapy and its use in a high school setting. Multimodal therapy allows the school counselor to maximize referral sources while emphasizing growth and actualization. (JAC)
Superconductors in the High School Classroom
Lincoln, James
2017-01-01
In this article, we discuss the behavior of high-temperature superconductors and how to demonstrate them safely and effectively in the high school or introductory physics classroom. Included here is a discussion of the most relevant physics topics that can be demonstrated, some safety tips, and a bit of the history of superconductors. In an effort…
High School Teacher Perceptions of Empowerment
Jacobs, Tricia S.
2014-01-01
As the responsibilities of principals become more complex and as accountability becomes more evident in K-12 cultures, it becomes increasingly important that high school principals be trained to empower teachers. This paper examined the research concerning the conditions of the empowerment of teachers. More specifically, it measured high school…
Global Ethics in a High School Curriculum.
Sappir, Susan
1998-01-01
Raphi Amram, the late director of Israel's Society for Excellence Through Education, founded the Ethics in Science and Humanities Program operating in Israel and five other countries. Though the ethics program currently operates only in high schools serving high-achieving or gifted students, founders emphasize the universality of its appeal.…
Competencies Used to Evaluate High School Coaches.
Gratto, John
1983-01-01
Studies of how to evaluate high school coaches' effectiveness found that most respondents felt that principals, athletic directors, and coaches should jointly arrive at a method of evaluation. Coaching competencies rated most highly included prevention and care of athletic injuries, supervision, and consistent discipline. Other valued competencies…
Gait analysis by high school students
Heck, A.; van Dongen, C.
2008-01-01
Human walking is a complicated motion. Movement scientists have developed various research methods to study gait. This article describes how a high school student collected and analysed high quality gait data in much the same way that movement scientists do, via the recording and measurement of
Directory of Open Access Journals (Sweden)
Shai Caspi
2012-01-01
Full Text Available Taking as a point of departure the vision of school algebra as a formalized meta-discourse of arithmetic, we have been following six pairs of 7th-grade students (12-13 years old as they gradually modify their spontaneous meta-arithmetic toward the “official” algebraic form of talk. In this paper we take a look at the very beginning of this process. Preliminary analyses of data have shown, unsurprisingly, that while reflecting on arithmetic processes and relations, the uninitiated 7th graders were employing colloquial means, which could not protect them against occasional ambiguities. More unexpectedly, this spontaneous meta-arithmetic, although not supported by any previous algebraic schooling, displayed some algebra-like features, not to be normally found in everyday discourses.Tomando como punto de partida la visión del álgebra escolar como un meta-discurso formalizado de la aritmética, hemos estado siguiendo a seis pares de estudiantes de 7º curso (12-13 años cuando modifican gradualmente su meta-aritmética espontánea hacia la forma algebraica “oficial” de hablar. En este artículo miramos el principio de este proceso. Los análisis preliminares de los datos han mostrado, como era de esperar, que mientras reflexionaban sobre los procesos y relaciones aritméticas, los alumnos no iniciados emplearon medios coloquiales que no evitaban las ambigüedades ocasionales. Más inesperadamente, esta meta-aritmética espontánea, a pesar de no apoyarse en ninguna enseñanza algebraica previa, desplegó algunas características similares al álgebra que no se encuentran normalmente en los discursos diarios.
PREFACE: Algebra, Geometry, and Mathematical Physics 2010
Stolin, A.; Abramov, V.; Fuchs, J.; Paal, E.; Shestopalov, Y.; Silvestrov, S.
2012-02-01
This proceedings volume presents results obtained by the participants of the 6th Baltic-Nordic workshop 'Algebra, Geometry, and Mathematical Physics (AGMP-6)' held at the Sven Lovén Centre for Marine Sciences in Tjärnö, Sweden on October 25-30, 2010. The Baltic-Nordic Network AGMP 'Algebra, Geometry, and Mathematical Physics' http://www.agmp.eu was created in 2005 on the initiative of two Estonian universities and two Swedish universities: Tallinn University of Technology represented by Eugen Paal (coordinator of the network), Tartu University represented by Viktor Abramov, Lund University represented by Sergei Silvestrov, and Chalmers University of Technology and the University of Gothenburg represented by Alexander Stolin. The goal was to promote international and interdisciplinary cooperation between scientists and research groups in the countries of the Baltic-Nordic region in mathematics and mathematical physics, with special emphasis on the important role played by algebra and geometry in modern physics, engineering and technologies. The main activities of the AGMP network consist of a series of regular annual international workshops, conferences and research schools. The AGMP network also constitutes an important educational forum for scientific exchange and dissimilation of research results for PhD students and Postdocs. The network has expanded since its creation, and nowadays its activities extend beyond countries in the Baltic-Nordic region to universities in other European countries and participants from elsewhere in the world. As one of the important research-dissimilation outcomes of its activities, the network has a tradition of producing high-quality research proceedings volumes after network events, publishing them with various international publishers. The PDF also contains the following: List of AGMP workshops and other AGMP activities Main topics discussed at AGMP-6 Review of AGMP-6 proceedings Acknowledgments List of Conference Participants
2010-04-01
... 25 Indians 1 2010-04-01 2010-04-01 false Can a school receive both a small school adjustment and a small high school adjustment? 39.145 Section 39.145 Indians BUREAU OF INDIAN AFFAIRS, DEPARTMENT OF THE INTERIOR EDUCATION THE INDIAN SCHOOL EQUALIZATION PROGRAM Indian School Equalization Formula Small School...
Middlesex Community Coll., Middletown, CT.
Through a collaborative effort between Middlesex Community College (MxCC) and Haddam-Killingworth High School (HKHS), students taking specific high school courses in television production, broadcast journalism, electronics, and photography are granted college credit by MxCC upon admission to the college's Broadcast Communication Program. The…
Drayton, Brian; Falk, Joni K.; Stroud, Rena; Hobbs, Kathryn; Hammerman, James
2010-01-01
There are few studies of the impact of ubiquitous computing on high school science, and the majority of studies of ubiquitous computing report only on the early stages of implementation. The present study presents data on 3 high schools with carefully elaborated ubiquitous computing systems that have gone through at least one "obsolescence cycle"…
Comparison of physical activities of female football players in junior high school and high school.
Inoue, Yuri; Otani, Yoshitaka; Takemasa, Seiichi
2017-08-01
[Purpose] This study aimed to compare physical activities between junior high school and high school female football players in order to explain the factors that predispose to a higher incidence of sports injuries in high school female football players. [Subjects and Methods] Twenty-nine female football players participated. Finger floor distance, the center of pressure during single limb stance with eyes open and closed, the 40-m linear sprint time, hip abduction and extension muscle strength and isokinetic knee flexion and extension peak torque were measured. The modified Star Excursion Balance Test, the three-steps bounding test and three-steps hopping tests, agility test 1 (Step 50), agility test 2 (Forward run), curl-up test for 30 seconds and the Yo-Yo intermittent recovery test were performed. [Results] The high school group was only significantly faster than the junior high school group in the 40-m linear sprint time and in the agility tests. The distance of the bounding test in the high school group was longer than that in the junior high school group. [Conclusion] Agility and speed increase with growth; however, muscle strength and balance do not develop alongside. This unbalanced development may cause a higher incidence of sports injuries in high school football players.
Student Obstacles in Solving Algebraic Thinking Problems
Andini, W.; Suryadi, D.
2017-09-01
The aim of this research is to analize the student obstacles on solving algebraic thinking problems in low grades elementary school. This research is a preliminary qualitative research, and involved 66 students of grade 3 elementary school. From the analysis student test results, most of student experience difficulty in solving algebraic thinking problems. The main obstacle is the student’s difficulty in understanding the problem of generalizing the pattern because the students are not accustomed to see the rules that exist in generalize the pattern.
Analysis of junior high school students' attempt to solve a linear inequality problem
Taqiyuddin, Muhammad; Sumiaty, Encum; Jupri, Al
2017-08-01
Linear inequality is one of fundamental subjects within junior high school mathematics curricula. Several studies have been conducted to asses students' perform on linear inequality. However, it can hardly be found that linear inequality problems are in the form of "ax + b condition leads to the research questions concerning students' attempt on solving a simple linear inequality problem in this form. In order to do so, the written test was administered to 58 students from two schools in Bandung followed by interviews. The other sources of the data are from teachers' interview and mathematics books used by students. After that, the constant comparative method was used to analyse the data. The result shows that the majority approached the question by doing algebraic operations. Interestingly, most of them did it incorrectly. In contrast, algebraic operations were correctly used by some of them. Moreover, the others performed expected-numbers solution, rewriting the question, translating the inequality into words, and blank answer. Furthermore, we found that there is no one who was conscious of the existence of all-numbers solution. It was found that this condition is reasonably due to how little the learning components concern about why a procedure of solving a linear inequality works and possibilities of linear inequality solution.
International Nuclear Information System (INIS)
Takao, Masaru
1989-01-01
We review W-algebras which are generated by stress tensor and primary fields. Associativity plays an important role in determining the extended algebra and further implies the algebras to exist for special values of central charges. Explicitly constructing the algebras including primary fields of spin less than 4, we investigate the closure structure of the Jacobi identity of the extended algebras. (author)
Representations of quantum bicrossproduct algebras
International Nuclear Information System (INIS)
Arratia, Oscar; Olmo, Mariano A del
2002-01-01
We present a method to construct induced representations of quantum algebras which have a bicrossproduct structure. We apply this procedure to some quantum kinematical algebras in (1+1) dimensions with this kind of structure: null-plane quantum Poincare algebra, non-standard quantum Galilei algebra and quantum κ-Galilei algebra
Borzooei, R. A.; Dudek, W. A.; Koohestani, N.
2006-01-01
We study hyper BCC-algebras which are a common generalization of BCC-algebras and hyper BCK-algebras. In particular, we investigate different types of hyper BCC-ideals and describe the relationship among them. Next, we calculate all nonisomorphic 22 hyper BCC-algebras of order 3 of which only three are not hyper BCK-algebras.
Directory of Open Access Journals (Sweden)
R. A. Borzooei
2006-01-01
Full Text Available We study hyper BCC-algebras which are a common generalization of BCC-algebras and hyper BCK-algebras. In particular, we investigate different types of hyper BCC-ideals and describe the relationship among them. Next, we calculate all nonisomorphic 22 hyper BCC-algebras of order 3 of which only three are not hyper BCK-algebras.
Givant, Steven
2017-01-01
This monograph details several different methods for constructing simple relation algebras, many of which are new with this book. By drawing these seemingly different methods together, all are shown to be aspects of one general approach, for which several applications are given. These tools for constructing and analyzing relation algebras are of particular interest to mathematicians working in logic, algebraic logic, or universal algebra, but will also appeal to philosophers and theoretical computer scientists working in fields that use mathematics. The book is written with a broad audience in mind and features a careful, pedagogical approach; an appendix contains the requisite background material in relation algebras. Over 400 exercises provide ample opportunities to engage with the material, making this a monograph equally appropriate for use in a special topics course or for independent study. Readers interested in pursuing an extended background study of relation algebras will find a comprehensive treatme...
Iachello, Francesco
2015-01-01
This course-based primer provides an introduction to Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. In the first part, it concisely presents the basic concepts of Lie algebras, their representations and their invariants. The second part includes a description of how Lie algebras are used in practice in the treatment of bosonic and fermionic systems. Physical applications considered include rotations and vibrations of molecules (vibron model), collective modes in nuclei (interacting boson model), the atomic shell model, the nuclear shell model, and the quark model of hadrons. One of the key concepts in the application of Lie algebraic methods in physics, that of spectrum generating algebras and their associated dynamic symmetries, is also discussed. The book highlights a number of examples that help to illustrate the abstract algebraic definitions and includes a summary of many formulas of practical interest, such as the eigenvalues of Casimir operators...
Twisted classical Poincare algebras
International Nuclear Information System (INIS)
Lukierski, J.; Ruegg, H.; Tolstoy, V.N.; Nowicki, A.
1993-11-01
We consider the twisting of Hopf structure for classical enveloping algebra U(g), where g is the inhomogeneous rotations algebra, with explicite formulae given for D=4 Poincare algebra (g=P 4 ). The comultiplications of twisted U F (P 4 ) are obtained by conjugating primitive classical coproducts by F element of U(c)xU(c), where c denotes any Abelian subalgebra of P 4 , and the universal R-matrices for U F (P 4 ) are triangular. As an example we show that the quantum deformation of Poincare algebra recently proposed by Chaichian and Demiczev is a twisted classical Poincare algebra. The interpretation of twisted Poincare algebra as describing relativistic symmetries with clustered 2-particle states is proposed. (orig.)
Directory of Open Access Journals (Sweden)
Gilberto Chavarría Arroyo
2014-06-01
Full Text Available The current article presents the results of a study that aimed to analyze the difficulties faced by eighth grade students when learning to solve algebraic problems based on linear equations with one unknown variable. The participants were learners with low average performance in mathematics at a high school in Heredia. The research followed a naturalistic paradigm and the case study method with a qualitative approach. Different techniques like class observations, questionnaires to students, non-structured interviews to teachers and interviews to the learners were applied. The research helped to identify the main causes of difficulty when learning to solve algebraic problems. Some of the causes that were identified are affective aspects, lack of previous knowledge, poor relational understanding, fatigue, diversion, reading deficiencies and misunderstanding of terminology.
Phillips, Kay D.
A study examined the freedom of the high school press in North Carolina to determine whether publication guidelines should be in place, and if so, what those guidelines should contain. High school newspaper advisors, high school principals, and high school newspaper editors from large and small, urban and rural, eastern and western high schools…
Effect of Nanotechnology Instructions on Senior High School Students
Lu, Chow-Chin; Sung, Chia-Chi
2011-01-01
In this research, we cooperate with senior high school teachers to understand current nanotechnology model of senior high school nanotechnology curriculum in Taiwan. Then design senior high school nanotechnology (nano-tech) curriculum to teach 503 senior high school students. After teaching the nano-tech curriculum we use the "Nanotechnology…
Solutions for Failing High Schools: Converging Visions and Promising Models.
Legters, Nettie; Balfanz, Robert; McPartland, James
Promising solutions to the failings of traditional comprehensive high schools were reviewed to identify basic principles and strategies for improving high schools nationwide. Selected research studies, policy documents, and promising high school programs were reviewed. The review revealed the following principles for helping high schools better…
Development of an Attitude Scale towards High School Physics Lessons
Yavas, Pervin Ünlü; Çagan, Sultan
2017-01-01
The aim of this study was to develop a Likert type attitude scale for high school students with regard to high school physics lessons. The research was carried out with high school students who were studying in Ankara. First, the opinions of 105 high school students about physics lessons were obtained and then 55 scale items were determined from…
Directory of Open Access Journals (Sweden)
Frank Roumen
2017-01-01
Full Text Available We will define two ways to assign cohomology groups to effect algebras, which occur in the algebraic study of quantum logic. The first way is based on Connes' cyclic cohomology. The resulting cohomology groups are related to the state space of the effect algebra, and can be computed using variations on the Kunneth and Mayer-Vietoris sequences. The second way involves a chain complex of ordered abelian groups, and gives rise to a cohomological characterization of state extensions on effect algebras. This has applications to no-go theorems in quantum foundations, such as Bell's theorem.
Solomon, Alan D
2012-01-01
REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Boolean Algebra includes set theory, sentential calculus, fundamental ideas of Boolean algebras, lattices, rings and Boolean algebras, the structure of a Boolean algebra, and Boolean
Kimura, Taro; Pestun, Vasily
2018-06-01
For a quiver with weighted arrows, we define gauge-theory K-theoretic W-algebra generalizing the definition of Shiraishi et al. and Frenkel and Reshetikhin. In particular, we show that the qq-character construction of gauge theory presented by Nekrasov is isomorphic to the definition of the W-algebra in the operator formalism as a commutant of screening charges in the free field representation. Besides, we allow arbitrary quiver and expect interesting applications to representation theory of generalized Borcherds-Kac-Moody Lie algebras, their quantum affinizations and associated W-algebras.
Developing High School Geoscientists through Summer Internships
Saltzman, J.
2012-12-01
High school students in the San Francisco Bay Area have the opportunity to contribute to Earth sciences research during the summer at Stanford University. The School of Earth Sciences hosts about 25 high school students each summer to support ongoing research, through more than just washing glassware. To increase diversity in the geosciences, we select students from diverse backgrounds through an application process which lessens the burden on busy faculty. The students work for 15-20 hours per week under the supervision of graduate students or postdoctoral fellows. The supervisors come to value the interns for a few reasons: not only are they getting some extra help with their research, but they are getting teaching experience in an informal but powerful way and supervising the interns' work over the summer. Another key part of the internship is bringing all of the interns together regularly. Whether it is for career talks, lab tours or field trip, high school students find kindred spirits in the group. Another important reason for weekly gatherings is to introduce the students to the wide field of Earth sciences and the different approaches and paths that scientists take. The summer ends with a culminating event where interns make short informal presentations about their research which give them an opportunity to articulate the big questions they have been helping to answer. Some interns are also invited to present a poster in a session for high school students at the Fall AGU meeting. These experiences of working in the laboratory and communicating about the research are part of the world of Earth sciences that are absent for most youth. The high school internships foster good will between Stanford and the local communities, help develop a more Earth and environmentally knowledgeable public and may have a long-term affect on diversifying the geosciences by exposing more young people to these fields.
Designing Spreadsheet-Based Tasks for Purposeful Algebra
Ainley, Janet; Bills, Liz; Wilson, Kirsty
2005-01-01
We describe the design of a sequence of spreadsheet-based pedagogic tasks for the introduction of algebra in the early years of secondary schooling within the Purposeful Algebraic Activity project. This design combines two relatively novel features to bring a different perspective to research in the use of spreadsheets for the learning and…
Algebraic Concepts: What's Really New in New Curricula?
Star, Jon R.; Herbel-Eisenmann, Beth A.; Smith, John P., III
2000-01-01
Examines 8th grade units from the Connected Mathematics Project (CMP). Identifies differences in older and newer conceptions, fundamental objects of study, typical problems, and typical solution methods in algebra. Also discusses where the issue of what is new in algebra is relevant to many other innovative middle school curricula. (KHR)
Introduction to Matrix Algebra, Student's Text, Unit 23.
Allen, Frank B.; And Others
Unit 23 in the SMSG secondary school mathematics series is a student text covering the following topics in matrix algebra: matrix operations, the algebra of 2 X 2 matrices, matrices and linear systems, representation of column matrices as geometric vectors, and transformations of the plane. Listed in the appendix are four research exercises in…
From Rota-Baxter algebras to pre-Lie algebras
International Nuclear Information System (INIS)
An Huihui; Ba, Chengming
2008-01-01
Rota-Baxter algebras were introduced to solve some analytic and combinatorial problems and have appeared in many fields in mathematics and mathematical physics. Rota-Baxter algebras provide a construction of pre-Lie algebras from associative algebras. In this paper, we give all Rota-Baxter operators of weight 1 on complex associative algebras in dimension ≤3 and their corresponding pre-Lie algebras
Developing Cloud Chambers with High School Students
Ishizuka, Ryo; Tan, Nobuaki; Sato, Shoma; Zeze, Syoji
The result and outcome of the cloud chamber project, which aims to develop a cloud chamber useful for science education is reported in detail. A project includes both three high school students and a teacher as a part of Super Science High School (SSH) program in our school. We develop a dry-ice-free cloud chamber using salt and ice (or snow). Technical details of the chamber are described. We also argue how the project have affected student's cognition, motivation, academic skills and behavior. The research project has taken steps of professional researchers, i.e., in planning research, applying fund, writing a paper and giving a talk in conferences. From interviews with students, we have learnt that such style of scientific activity is very effective in promoting student's motivation for learning science.
Transition from high schools to engineering education
DEFF Research Database (Denmark)
Kolmos, Anette; Holgaard, Jette Egelund; Clausen, Nicolaj Riise
2017-01-01
Pre-university engineering education has received increasing attention to attract more students to engineering and make them better prepared to enter engineering studies at university level. Denmark is one of the countries that offer established high school curriculum that makes engineering...... the core identity of the school. In a longitudinal research project, the cohort of all Danish engineering students who were enrolled in 2010 has been followed. This study takes a quantitative approach to highlight the differences in preparedness for engineering students who have a background...... themselves as being better prepared in relation to the conduct of experiments, engineering analysis and tolls, as well as in relation to process competences as design, problem solving and teamwork. The students from the profession-oriented high schools also find themselves better prepared in relation...
Differential Hopf algebra structures on the universal enveloping algebra of a Lie algebra
van den Hijligenberg, N.W.; van den Hijligenberg, N.W.; Martini, Ruud
1995-01-01
We discuss a method to construct a De Rham complex (differential algebra) of Poincar'e-Birkhoff-Witt-type on the universal enveloping algebra of a Lie algebra $g$. We determine the cases in which this gives rise to a differential Hopf algebra that naturally extends the Hopf algebra structure of
Differential Hopf algebra structures on the universal enveloping algebra ofa Lie algebra
N.W. van den Hijligenberg; R. Martini
1995-01-01
textabstractWe discuss a method to construct a De Rham complex (differential algebra) of Poincar'e-Birkhoff-Witt-type on the universal enveloping algebra of a Lie algebra $g$. We determine the cases in which this gives rise to a differential Hopf algebra that naturally extends the Hopf algebra
Reardon, Ryan Turner
2008-01-01
The purpose of this non-experimental correlational study was to determine the relationship between the type of attendance policies in the high schools of the 67 Florida school districts, the size of the school district (number of high school students), the socioeconomic status SES) of the school district, and the average daily attendance rate of…
School Start Times for Middle School and High School Students - United States, 2011-12 School Year.
Wheaton, Anne G; Ferro, Gabrielle A; Croft, Janet B
2015-08-07
Adolescents who do not get enough sleep are more likely to be overweight; not engage in daily physical activity; suffer from depressive symptoms; engage in unhealthy risk behaviors such as drinking, smoking tobacco, and using illicit drugs; and perform poorly in school. However, insufficient sleep is common among high school students, with less than one third of U.S. high school students sleeping at least 8 hours on school nights. In a policy statement published in 2014, the American Academy of Pediatrics (AAP) urged middle and high schools to modify start times as a means to enable students to get adequate sleep and improve their health, safety, academic performance, and quality of life. AAP recommended that "middle and high schools should aim for a starting time of no earlier than 8:30 a.m.". To assess state-specific distributions of public middle and high school start times and establish a pre-recommendation baseline, CDC and the U.S. Department of Education analyzed data from the 2011-12 Schools and Staffing Survey (SASS). Among an estimated 39,700 public middle, high, and combined schools* in the United States, the average start time was 8:03 a.m. Overall, only 17.7% of these public schools started school at 8:30 a.m. or later. The percentage of schools with 8:30 a.m. or later start times varied greatly by state, ranging from 0% in Hawaii, Mississippi, and Wyoming to more than three quarters of schools in Alaska (76.8%) and North Dakota (78.5%). A school system start time policy of 8:30 a.m. or later provides teenage students the opportunity to achieve the 8.5-9.5 hours of sleep recommended by AAP and the 8-10 hours recommended by the National Sleep Foundation.
Anderson, R. D.; And Others
This is part one of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include number line and coordinates, equations, scientific notation,…
Anderson, R. D.; And Others
This is part two of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system, and metric and non-metric relations in geometry. Included are chapters on the rational number system; parallels, parallelograms, triangles, and right prisms;…
Anderson, R. D.; And Others
This is part one of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system, and metric and non-metric relations in geometry. Topics included are numbers; cardinal numbers; geometry of lines, points, and planes; geometry of angles,…
Anderson, R. D.; And Others
This is part two of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include real numbers, similar triangles, variation, polyhedrons,…
Transitions from high school to college.
Venezia, Andrea; Jaeger, Laura
2013-01-01
The vast majority of high school students aspire to some kind of postsecondary education, yet far too many of them enter college without the basic content knowledge, skills, or habits of mind they need to succeed. Andrea Venezia and Laura Jaeger look at the state of college readiness among high school students, the effectiveness of programs in place to help them transition to college, and efforts to improve those transitions. Students are unprepared for postsecondary coursework for many reasons, the authors write, including differences between what high schools teach and what colleges expect, as well as large disparities between the instruction offered by high schools with high concentrations of students in poverty and that offered by high schools with more advantaged students. The authors also note the importance of noncurricular variables, such as peer influences, parental expectations, and conditions that encourage academic study. Interventions to improve college readiness offer a variety of services, from academic preparation and information about college and financial aid, to psychosocial and behavioral supports, to the development of habits of mind including organizational skills, anticipation, persistence, and resiliency. The authors also discuss more systemic programs, such as Middle College High Schools, and review efforts to allow high school students to take college classes (known as dual enrollment). Evaluations of the effectiveness of these efforts are limited, but the authors report that studies of precollege support programs generally show small impacts, while the more systemic programs show mixed results. Dual-enrollment programs show promise, but the evaluation designs may overstate the results. The Common Core State Standards, a voluntary set of goals and expectations in English and math adopted by most states, offer the potential to improve college and career readiness, the authors write. But that potential will be realized, they add, only if the
Algebraic monoids, group embeddings, and algebraic combinatorics
Li, Zhenheng; Steinberg, Benjamin; Wang, Qiang
2014-01-01
This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Lex Renner and Mohan Putcha, the pioneers of the field of algebraic monoids. Topics presented include: v structure and representation theory of reductive algebraic monoids v monoid schemes and applications of monoids v monoids related to Lie theory v equivariant embeddings of algebraic groups v constructions and properties of monoids from algebraic combinatorics v endomorphism monoids induced from vector bundles v Hodge–Newton decompositions of reductive monoids A portion of these articles are designed to serve as a self-contained introduction to these topics, while the remaining contributions are research articles containing previously unpublished results, which are sure to become very influential for future work. Among these, for example, the important recent work of Michel Brion and Lex Renner showing that the algebraic semigroups are strongly π-regular. Graduate students as well a...
Predicting Success in College Mathematics from High School Mathematics Preparation
Shepley, Richard A.
1983-01-01
The purpose of this study was to develop a model to predict the college mathematics courses a freshman could expect to pass by considering their high school mathematics preparation. The high school information that was used consisted of the student's sex, the student's grade point average in mathematics, the highest level of high school mathematics courses taken, and the number of mathematics courses taken in high school. The high school sample was drawn from graduated Seniors in the State...
Examples from Astronomy for High School Physics
Dieterich, Sergio
2016-01-01
A formal course in physics is increasingly becoming a standard requirement in the high school curriculum. With that dissemination comes the challenge of reaching and motivating a population that is more diverse in their academic abilities and intrinsic motivation. The abstract nature of pure physics is often made more accessible when motivated by examples from everyday life, and providing copious mathematical as well as conceptual examples has become standard practice in high school physics textbooks. Astronomy is a naturally captivating subject and astronomical examples are often successful in capturing the curiosity of high school students as well as the general population. This project seeks to diversify the range of pedagogical materials available to the high school physics instructor by compiling and publishing specific examples where an astronomical concept can be used to motivate the physics curriculum. This collection of examples will consist of both short problems suitable for daily homework assignments as well as longer project style activities. Collaborations are encouraged and inquiries should be directed to sdieterich at carnegiescience dot edu.This work is funded by the NSF Astronomy and Astrophysics Postdoctoral Fellowship Program through NSF grant AST-1400680.
Teaching the EPR Paradox at High School?
Pospiech, Gesche
1999-01-01
Argues the importance of students at university and in the final years of high school gaining an appreciation of the principles of quantum mechanics. Presents the EPR gedanken experiment (thought experiment) as a method of teaching the principles of quantum mechanics. (Author/CCM)
Complex Development Report: Moanalua High School.
Anbe, Aruga and Ishizu, Architects, Inc., Honolulu, HI.
This report documents the planning process and the decisions involved in master planning a proposed Honolulu high school, and it provides guidance for the implementation of those increments remaining after phase one of the first increment had been completed in September 1972. Phase two of the first increment and the second increment are now under…
Planning of high school examinations in Denmark
DEFF Research Database (Denmark)
Vidal, Rene Victor Valqui; Hansen, Michael Pilegaard
1995-01-01
This paper presents a computer based support system used to plan high school examinations in Denmark. We will discuss the methods and techniques used to solve such a complex and large scale combinatorial problem. Decomposition and other heuristic principles have been used extensively to develop...
HUMANITIES IN A JUNIOR HIGH SCHOOL.
KNIGHT, BONNIE M.
A HUMANITIES COURSE HAS BEEN DEVELOPED FOR ACADEMICALLY ABLE SEVENTH-GRADE STUDENTS IN BRANCIFORTE JUNIOR HIGH SCHOOL IN SANTA CRUZ, CALIFORNIA. IN A TWO-PERIOD DAILY TIME BLOCK, STUDENTS LEARN ENGLISH, LITERATURE, AND LATIN, AND INVESTIGATE TOPICS IN ARCHEOLOGY, CULTURAL ANTHROPOLOGY, LINGUISTICS, PSYCHOLOGY, PHILOSOPHY, GREEK LITERATURE AND…
Job Satisfaction of High School Journalism Educators.
Dvorak, Jack; Phillips, Kay D.
Four research questions are posed to explore the job satisfaction of high school journalism educators. A national random sample of 669 respondents shows that journalism educators are generally satisfied with their jobs--more so than teachers in other disciplines. Multiple regression analysis using Herzberg's motivation-hygiene theory as a…
The Gravity Model for High School Students
Tribble, Paul; Mitchell, William A.
1977-01-01
The authors suggest ways in which the gravity model can be used in high school geography classes. Based on Newton's Law of Molecular Gravitation, the law states that gravitation is in direct ratio to mass and inverse ratio to distance. One activity for students involves determination of zones of influence of cities of various sizes. (Author/AV)
An Exemplary High School Literary Magazine: "Cinnabar."
Holbrook, Hilary Taylor, Comp.
One of a series of 20 literary magazine profiles written to help faculty advisors wishing to start or improve their publication, this profile provides information on staffing and production of "Cinnabar," the magazine published by Ward Melville High School, Setauket, New York. The introduction describes the literary magazine contest (and…
Grandfather Tang Goes to High School
Johnson, Iris DeLoach
2006-01-01
This article describes how the children's literature book, Grandfather Tang's Story, which is commonly used in the elementary grades, may be used at the high school level to engage students in an exploration of area and perimeter which includes basic operations with square roots, ordering numbers (decimal approximations, and their exact…
High School Peer Helping: A Program Evaluation.
Kilgariff, Lisa; Solomon, Mindy; Zanotti, Mary; Chambliss, Catherine
Peer helpers can act as liaisons to high school guidance departments by identifying problems, making appropriate referrals, and encouraging others to obtain professional help if necessary. An active program can help ensure that in the future students are better prepared to handle conflicts that arise within marriage, career, and family. This study…
Choosing High School Courses with Purpose
Ayotte, Steve; Sevier, Sharon
2010-01-01
In choosing high school courses, students often seem to focus on everything except preparation for an intended major or career. They consider graduation requirements, weighted classes, easy classes...but rarely are these types of choices preparing students for postsecondary education. This article describes the "Career Companion Guide"…
Neoliberalism inside Two American High Schools
Cleary, Joseph, Jr.
2017-01-01
This article examines "neoliberalism" inside two American public high schools. The work of one leading critical theorist, Mark Olssen, is explained and examined. Particular attention is paid to Olssen's concepts of "homo economicus" and "manipulatable man." It is concluded that Olssen's theories on neoliberalism…
Nematodes: Model Organisms in High School Biology
Bliss, TJ; Anderson, Margery; Dillman, Adler; Yourick, Debra; Jett, Marti; Adams, Byron J.; Russell, RevaBeth
2007-01-01
In a collaborative effort between university researchers and high school science teachers, an inquiry-based laboratory module was designed using two species of insecticidal nematodes to help students apply scientific inquiry and elements of thoughtful experimental design. The learning experience and model are described in this article. (Contains 4…
Using Creative Group Techniques in High Schools
Veach, Laura J.; Gladding, Samuel T.
2007-01-01
Groups in high schools that use creative techniques help adolescents express their emotions appropriately, behave differently, and gain insight into themselves and others. This article looks at seven different creative arts media--music, movement, visual art, literature, drama, play, and humor--and offers examples of how they can be used in groups…
AAPT/NSTA High School Physics Examination.
Nelson, James
1983-01-01
Discusses development of the American Association of Physics Teachers and National Science Teachers Association (AAPT/NSTA) high school physics examination. Includes sample examination questions and distribution of topics: mechanics (30 percent), waves/optics/sound (20 percent), heat/kinetic theory (10 percent), electricity/magnetism (25 percent),…
San Diego's High School Dropout Crisis
Wilson, James C.
2012-01-01
This article highlights San Diego's dropout problem and how much it's costing the city and the state. Most San Diegans do not realize the enormous impact high school dropouts on their city. The California Dropout Research Project, located at the University of California at Santa Barbara, has estimated the lifetime cost of one class or cohort of…
Discrete mathematics in the high school curriculum
Anderson, I.; Asch, van A.G.; van Lint, J.H.
2004-01-01
In this paper we present some topics from the field of discrete mathematics which might be suitable for the high school curriculum. These topics yield both easy to understand challenging problems and important applications of discrete mathematics. We choose elements from number theory and various
Socialism in High School Social Studies Textbooks
Neumann, Richard
2012-01-01
This article concerns textbook analysis regarding the presentation of socialism in four leading high school social studies books, one in each of the following subjects: United States history, world history, United States government, and economics. Findings indicate that students relying on these texts to gain understanding of socialism and…
Outline of High School Credit Courses.
South Carolina State Dept. of Education, Columbia.
An outline is presented of the objectives and content of courses offered for credit in high schools in South Carolina. Courses in the following subjects are described: (1) art; (2) drama; (3) driver education; (4) environmental education; (5) foreign language: French, German, Russian, Spanish; (6) health; (7) language arts; (8) mathematics; (9)…
High School Dropout and Teen Childbearing
Marcotte, Dave E.
2013-01-01
Understanding the relationship between high school dropout and teen childbearing is complicated because both are affected by a variety of difficult to control factors. In this paper, I use panel data on aggregate dropout and fertility rates by age for all fifty states to develop insight by instrumenting for dropout using information on state…
Like a Rock: Far Rockaway High School
Whelan, Debra Lau
2007-01-01
Students from Far Rockaway High School are just back from spring break, and media specialist Geri Ellner is busy getting ready for her first class. She's already pulled out a copy of Anthony Browne's award-winning picture book "The Shape Game" (Farrar, 2003), and now she's patiently cuing up a Disney video of "Pocahontas" on…
High School Womens' Studies: A Working Model
Adler, Iris
1976-01-01
Discusses several difficulties in bringing the womens' movement into the high schools, noting a strong resistance to feminism by the students themselves. The authors course began with discussions on what it meant to be a girl, daughter, and female student; focused on women and the media; examined women in other cultures; and finally discussed…
Self-Esteem of Junior High and High School Students.
Lee, Kimberly E.
The purpose of this thesis was to investigate the self-esteem of junior high and high school students. The independent variables investigated were quality of family life, birth order, family size, maternal employment, grade level and family structure. The dependent variables were the self-esteem scores from the following sub-scales of the Texas…
(Quasi-)Poisson enveloping algebras
Yang, Yan-Hong; Yao, Yuan; Ye, Yu
2010-01-01
We introduce the quasi-Poisson enveloping algebra and Poisson enveloping algebra for a non-commutative Poisson algebra. We prove that for a non-commutative Poisson algebra, the category of quasi-Poisson modules is equivalent to the category of left modules over its quasi-Poisson enveloping algebra, and the category of Poisson modules is equivalent to the category of left modules over its Poisson enveloping algebra.
An introduction to abstract algebra
Robinson, Derek JS
2003-01-01
This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems and error correcting codes are described. Another feature of the book is that group theory and ring theory are carried further than is often done at this level. There is ample material here for a two semester course in abstract algebra. The importance of proof is stressed and rigorous proofs of almost all results are given. But care has been taken to lead the reader through the proofs by gentle stages. There are nearly 400 problems, of varying degrees of difficulty, to test the reader''s skill and progress. The book should be suitable for students ...
Building a Virtual High School...Click by Click
Podoll, Sue; Randle, Darcy
2005-01-01
The Rapid City Academy is the alternative high school program for South Dakota's Rapid City Area Schools, which has an enrollment of about 13,000 K-12 students, with five middle schools feeding two large traditional high schools and the alternative program. A high percentage of students at the academy are considered "at-risk" due to…
Continuing Care in High Schools: A Descriptive Study of Recovery High School Programs
Finch, Andrew J.; Moberg, D. Paul; Krupp, Amanda Lawton
2014-01-01
Data from 17 recovery high schools suggest programs are dynamic and vary in enrollment, fiscal stability, governance, staffing, and organizational structure. Schools struggle with enrollment, funding, lack of primary treatment accessibility, academic rigor, and institutional support. Still, for adolescents having received treatment for substance…
Reduction of Social Inequality in High School
DEFF Research Database (Denmark)
Jensen, Ulla Højmark
2014-01-01
This article explores structures in the learning environment at the classroom level that can contribute to reduction of social inequality in education. It draws on qualitative observation studies of Latino’s in high schools in New York City, USA, by a Danish researcher. The purpose of this article...... is to explore ‘good examples’ from an outsider’s perspective and there by create an empirical and theoretical focus on how school characteristics and structures cross boarders are connected to the reduction of social inequality in education....
Pérez López, César
2014-01-01
MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. MATLAB Matrix Algebra introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. Starting with a look at symbolic and numeric variables, with an emphasis on vector and matrix variables, you will go on to examine functions and operations that support vectors and matrices as arguments, including those based on analytic parent functions. Computational methods for finding eigenvalues and eigenvectors of matrices are detailed, leading to various matrix decompositions. Applications such as change of bases, the classification of quadratic forms and ...
Heppen, Jessica; Allensworth, Elaine; Walters, Kirk; Pareja, Amber Stitziel; Kurki, Anja; Nomi, Takako; Sorensen, Nicholas
2012-01-01
This study is an efficacy trial funded by a grant from the Institute of Education Sciences (IES) National Center for Education Research (NCER). Fifteen CPS high schools are receiving funding to implement two Algebra I credit recovery courses during the summer sessions of 2011 and 2012--one online and one face-to-face (f2f). These courses allow…
Learning Activity Package, Algebra.
Evans, Diane
A set of ten teacher-prepared Learning Activity Packages (LAPs) in beginning algebra and nine in intermediate algebra, these units cover sets, properties of operations, number systems, open expressions, solution sets of equations and inequalities in one and two variables, exponents, factoring and polynomials, relations and functions, radicals,…
Herriott, Scott R.; Dunbar, Steven R.
2009-01-01
The common understanding within the mathematics community is that the role of the college algebra course is to prepare students for calculus. Though exceptions are emerging, the curriculum of most college algebra courses and the content of most textbooks on the market both reflect that assumption. This article calls that assumption into question…
Seo, Young Joo; Kim, Young Hee
2016-01-01
In this paper we construct some real algebras by using elementary functions, and discuss some relations between several axioms and its related conditions for such functions. We obtain some conditions for real-valued functions to be a (edge) d -algebra.
Hayden, Dunstan; Cuevas, Gilberto
The pre-algebra lexicon is a set of classroom exercises designed to teach the technical words and phrases of pre-algebra mathematics, and includes the terms most commonly found in related mathematics courses. The lexicon has three parts, each with its own introduction. The first introduces vocabulary items in three groups forming a learning…
Algebraic Description of Motion
Davidon, William C.
1974-01-01
An algebraic definition of time differentiation is presented and used to relate independent measurements of position and velocity. With this, students can grasp certain essential physical, geometric, and algebraic properties of motion and differentiation before undertaking the study of limits. (Author)
Lawson, C. L.; Krogh, F. T.; Gold, S. S.; Kincaid, D. R.; Sullivan, J.; Williams, E.; Hanson, R. J.; Haskell, K.; Dongarra, J.; Moler, C. B.
1982-01-01
The Basic Linear Algebra Subprograms (BLAS) library is a collection of 38 FORTRAN-callable routines for performing basic operations of numerical linear algebra. BLAS library is portable and efficient source of basic operations for designers of programs involving linear algebriac computations. BLAS library is supplied in portable FORTRAN and Assembler code versions for IBM 370, UNIVAC 1100 and CDC 6000 series computers.
Harmfulness of smoking among high school students
Directory of Open Access Journals (Sweden)
Iwona Rotter
2013-03-01
Full Text Available Introduction: The aim of the study was to assess the level of awareness of smoking and non smoking students on harmful impact of nicotine and cigarette smoke on human body. Material and methods: The study was carried out in March 2011 in high schools in Szczecin. Own elaborated questionnaire was used. 288 students from high school, technical college and vocational school were tested. Results: The majority of responders (95,1% claimed that cigarette smoke is harmful both for passive and active smokers. They most often pinpoint the direct cause connected with smoking to pulmonary diseases (264 persons and cancers (240 persons. Almost 90% of students found negative impact of tobacco products on development of fetus of pregnant women. Overwhelming majority of respondents (83,2% feels anxious if it comes to stay in a room filled with smoke. Conclusions: The awareness of high school students on negative influence of smoking on human body is quite satisfactory, but there is still a need for more education in the range of diseases and symptoms connected with smoking.
Elements of mathematics algebra
Bourbaki, Nicolas
2003-01-01
This is a softcover reprint of the English translation of 1990 of the revised and expanded version of Bourbaki's, Algèbre, Chapters 4 to 7 (1981). This completes Algebra, 1 to 3, by establishing the theories of commutative fields and modules over a principal ideal domain. Chapter 4 deals with polynomials, rational fractions and power series. A section on symmetric tensors and polynomial mappings between modules, and a final one on symmetric functions, have been added. Chapter 5 was entirely rewritten. After the basic theory of extensions (prime fields, algebraic, algebraically closed, radical extension), separable algebraic extensions are investigated, giving way to a section on Galois theory. Galois theory is in turn applied to finite fields and abelian extensions. The chapter then proceeds to the study of general non-algebraic extensions which cannot usually be found in textbooks: p-bases, transcendental extensions, separability criterions, regular extensions. Chapter 6 treats ordered groups and fields and...
Proof in Algebra: Reasoning beyond Examples
Otten, Samuel; Herbel-Eisenmann, Beth A.; Males, Lorraine M.
2010-01-01
The purpose of this article is to provide an image of what proof could look like in beginning algebra, a course that nearly every secondary school student encounters. The authors present an actual classroom vignette in which a rich opportunity for student reasoning arose. After analyzing the proof schemes at play, the authors provide a…
Astrobiology in an Urban New York City High School: John Dewey High School's Space Science Academy
Fried, B.; Dash, H. B.
2010-04-01
John Dewey High School's participation in NASA's MESDT and DLN projects and other partnerships provide opportunities for our diverse population, focusing particular attention to under-represented and under-served groups in the field of Space Science.
The Effect of High School Shootings on Schools and Student Performance
Beland, Louis-Philippe; Kim, Dongwoo
2016-01-01
We analyze how fatal shootings in high schools affect schools and students using data from shooting databases, school report cards, and the Common Core of Data. We examine schools' test scores, enrollment, number of teachers, graduation, attendance, and suspension rates at schools that experienced a shooting, employing a difference-in-differences…
The Effect of High School Shootings on Schools and Student Performance
Louis-Philippe Beland; Dongwoo Kim
2015-01-01
We analyze how fatal shootings in high schools affect schools and students using data from shooting databases, school report cards, and the Common Core of Data. We examine schoolsâ€™ test scores, enrollment, and number of teachers, as well as graduation, attendance, and suspension rates at schools that experienced a shooting, employing a difference-in-differences strategy that uses other high schools in the same district as the comparison group. Our findings suggest that homicidal shootings s...
Cluster algebras bases on vertex operator algebras
Czech Academy of Sciences Publication Activity Database
Zuevsky, Alexander
2016-01-01
Roč. 30, 28-29 (2016), č. článku 1640030. ISSN 0217-9792 Institutional support: RVO:67985840 Keywords : cluster alegbras * vertex operator algebras * Riemann surfaces Subject RIV: BA - General Mathematics Impact factor: 0.736, year: 2016 http://www.worldscientific.com/doi/abs/10.1142/S0217979216400300
Algebraic K-theory and algebraic topology
Energy Technology Data Exchange (ETDEWEB)
Berrick, A J [Department of Mathematics, National University of Singapore (Singapore)
2003-09-15
This contribution treats the various topological constructions of Algebraic K-theory together with the underlying homotopy theory. Topics covered include the plus construction together with its various ramifications and applications, Topological Hochschild and Cyclic Homology as well as K-theory of the ring of integers.
Transformational Leadership and Teacher Motivation in Southwestern Arizona High Schools
Reynolds, Catherine L.
2009-01-01
The purpose of this study was to explore the relationship between transformational leadership and teacher motivation in Southwestern Arizona high schools. Teachers in a school district in Southwestern Arizona comprised of high schools were surveyed using two instruments, Leithwood and Jantzi's (1998) The Leadership and Management of Schools in…
James Madison High: A School at the Crossroads
Stroup, John T.; Salmonowicz, Michael J.; Broom, Christopher C.
2007-01-01
This case tells the story of James Madison High School, which became the epicenter of a debate over the future reorganization and control of large secondary schools in the Los Angeles Unified School District (LAUSD). The LAUSD, recently taken over by the newly elected mayor, was fighting for control of this 3,000-student high school with a charter…
Sleep disorders among high school students in New Zealand
Fernando AT; Samaranayake CB; Blank CJ; Roberts G; Arroll B
2013-01-01
INTRODUCTION: Adolescents are known to have high risk factors for sleep disorders, yet the youth rates of sleep disturbances are unknown. AIM: This study aimed to determine the prevalence of sleep disorders among New Zealand high school students. METHODS: The Auckland Sleep Questionnaire (ASQ) was administered to high school students at six schools in the North Island. Schools were chosen to reflect a range of ethnicities and school deciles, which identify the socioeconomic status of househol...
An introduction to algebraic geometry and algebraic groups
Geck, Meinolf
2003-01-01
An accessible text introducing algebraic geometries and algebraic groups at advanced undergraduate and early graduate level, this book develops the language of algebraic geometry from scratch and uses it to set up the theory of affine algebraic groups from first principles.Building on the background material from algebraic geometry and algebraic groups, the text provides an introduction to more advanced and specialised material. An example is the representation theory of finite groups of Lie type.The text covers the conjugacy of Borel subgroups and maximal tori, the theory of algebraic groups
The High School student’s journey:
DEFF Research Database (Denmark)
Gholamian, Jamshid
The aim of this paper is to examine the construction of self and other in counseling conversations between students with an ethnic minority background and counselors in 3 high schools in Copenhagen, Denmark. The analysis is based on Russian philosopher Mikhail Bakhtin’s literary theory of Chronot......The aim of this paper is to examine the construction of self and other in counseling conversations between students with an ethnic minority background and counselors in 3 high schools in Copenhagen, Denmark. The analysis is based on Russian philosopher Mikhail Bakhtin’s literary theory...... of Chronotope. I see the concept as useful in connection with students' self-constructions (autobiographies). The analysis shows how time and space plays into the counseling conversations, and how other contexts and dialogues play a stronger role in the students design of themselves; that is, how a fusion...
Springer, T A
1998-01-01
"[The first] ten chapters...are an efficient, accessible, and self-contained introduction to affine algebraic groups over an algebraically closed field. The author includes exercises and the book is certainly usable by graduate students as a text or for self-study...the author [has a] student-friendly style… [The following] seven chapters... would also be a good introduction to rationality issues for algebraic groups. A number of results from the literature…appear for the first time in a text." –Mathematical Reviews (Review of the Second Edition) "This book is a completely new version of the first edition. The aim of the old book was to present the theory of linear algebraic groups over an algebraically closed field. Reading that book, many people entered the research field of linear algebraic groups. The present book has a wider scope. Its aim is to treat the theory of linear algebraic groups over arbitrary fields. Again, the author keeps the treatment of prerequisites self-contained. The material of t...
Premenstrual syndrome (PMS among high school students
Directory of Open Access Journals (Sweden)
Buddhabunyakan N
2017-07-01
Full Text Available Nattapong Buddhabunyakan, Srinaree Kaewrudee, Chompilas Chongsomchai, Sukree Soontrapa, Woraluk Somboonporn, Jen Sothornwit Department of Obstetrics and Gynaecology, Faculty of Medicine, Khon Kaen University, Khon Kaen, Thailand Background: Premenstrual syndrome (PMS is a common health problem among adolescents.Objective: To assess the prevalence of PMS in Thai high school students.Materials and methods: This was a prospective study conducted among menstruating high school students in Khon Kaen, Thailand, from September to December, 2015. Participants were asked to prospectively complete an anonymous questionnaire, which included information about demographic data, menstrual patterns, and symptoms to be recorded on a daily calendar of premenstrual experiences according to the diagnostic criteria proposed by the American College of Obstetricians and Gynecologists. All of the data were prospectively recorded for 90 consecutive days.Results: Of the 399 participants, 289 (72.4% completed the self-report questionnaire. Eighty-six participants (29.8%; 95% CI, 24.5%–35.4% reported having PMS. The most common somatic and affective symptoms among participants with PMS were breast tenderness (74.4% and angry outbursts (97.7%. There were significant differences between the PMS and non-PMS groups, and PMS was associated with various problems related to educational activities, including lack of concentration and motivation, poor individual work performance, poor collaborative work performance, and low scores. However, there were no significant differences regarding interpersonal relationships between the PMS and non-PMS groups.Conclusions: PMS is a common menstrual disorder among Thai high school students. The most common symptoms reported in this study were angry outbursts and breast tenderness. Keywords: premenstrual symptoms, prevalence, association, high school students
Factors Associated with Absenteeism in High Schools
DEMIR, Kamile; AKMAN KARABEYOGLU, Yasemin
2016-01-01
Problem Statement: There are many factors that affect student achievement directly and indirectly at the secondary educational level. Lower attendance rates have been cited as detrimental to academic achievement; therefore, it is suggested that improved attendance is a direct indicator, rather than determinant of students’ academic achievement.Purpose of Study: The main purpose of this study was to investigate the effect of individual, family and school variables on absenteeism among high sch...
Citizenship Engagement: Responses from High School Students
Martin, Leisa A.
2017-01-01
In the United States, the main mission of social studies education is to prepare students for citizenship. With this in mind, the following study examined 191 high school students’ views on how they demonstrated citizenship. Traditionally with this age group, personally responsible citizenship has been a common form of self-reported citizenship engagement. However, in this study, the students seemed to conceptualize citizenship differently. With the Akwesasne Mohawk students, the European Ame...
Vanishing theorems and effective results in algebraic geometry
International Nuclear Information System (INIS)
Demailly, J.P.; Goettsche, L.; Lazarsfeld, R.
2001-01-01
The School on Vanishing Theorems and Effective Results in Algebraic Geometry took place in ICTP, Trieste from 25 April 2000 to 12 May 2000. It was organized by J. P. Demailly (Universite de Grenoble I) and R. Lazarsfeld (University of Michigan). The main topics considered were vanishing theorems, multiplyer ideal sheaves and effective results in algebraic geometry, tight closure, geometry of higher dimensional projective and Kahler manifolds, hyperbolic algebraic varieties. The school consisted of two weeks of lectures and one week of conference. This volume contains the lecture notes of most of the lectures in the first two weeks
Vanishing theorems and effective results in algebraic geometry
Energy Technology Data Exchange (ETDEWEB)
Demailly, J P [Universite de Grenoble (France); Goettsche, L [Abdus Salam International Centre for Theoretical Physics, Trieste (Italy); Lazarsfeld, R [University of Michigan (United States)
2001-12-15
The School on Vanishing Theorems and Effective Results in Algebraic Geometry took place in ICTP, Trieste from 25 April 2000 to 12 May 2000. It was organized by J. P. Demailly (Universite de Grenoble I) and R. Lazarsfeld (University of Michigan). The main topics considered were vanishing theorems, multiplyer ideal sheaves and effective results in algebraic geometry, tight closure, geometry of higher dimensional projective and Kahler manifolds, hyperbolic algebraic varieties. The school consisted of two weeks of lectures and one week of conference. This volume contains the lecture notes of most of the lectures in the first two weeks.
At-risk high school seniors: Science remediation for Georgia's High School Graduation Test
Carroll, Carolyn M.
State departments of education have created a system of accountability for the academic achievement of students under the mandate of the No Child Left Behind Act of 2001. The Georgia Department of Education established the Georgia High School Graduation Test (GHSGT) as their method of evaluating the academic achievement of high school students. The GHSGT consist of five sections and students must pass all five sections before students they are eligible to receive a diploma. The purpose of the study was to examine the effects of teacher-lead and computer based remediation for a group of high school seniors who have been unsuccessful in passing the science portion of the GHSGT. The objectives of this study include (a) Identify the most effective method of remediation for at-risk students on the science section of the GHSGT, and (b) evaluate the methods of remediation for at-risk students on the science section of GHSGT available to high school students. The participants of this study were at-risk seniors enrolled in one high school during the 2007-2008 school year. The findings of this research study indicated that at-risk students who participated in both types of remediation, teacher-led and computer-based, scored significantly higher than the computer-based remediation group alone. There was no significant relationship between the test scores and the number of times the students were tested.
THE METHODICAL ASPECTS OF THE ALGEBRA AND THE MATHEMATICAL ANALYSIS STUDY USING THE SAGEMATH CLOUD
Directory of Open Access Journals (Sweden)
M. Popel
2014-06-01
Full Text Available The quality of mathematics education depends largely on the quality of education in general. The main idea may be summarized as follows: in order to educate the younger generation of people to be able to meet adequately the demands of the time, it is necessary to create conditions for the high-quality mathematics education. Improving the quality of mathematics education of pupils in secondary school is one of the most pressing problems. Contents of the school course of mathematics and its teaching method has always been the subject of undammed and sometimes stormy scientific debates. There are especially true methods of teaching algebra and the analisis in the high secondary school. Still in the study process the algebraic concepts and principles of analysis are given in such an abstract and generalized form that the student may has considerable difficulties to map these general abstract concepts to the certain concrete images, they are generalizations of. Improving education quality indicators can be achieved by using the appropriate computer technology. The article deals with the use of the cloud-oriented systems of computer mathematics (SCM. The prospects of development of the Web-SCM in terms of cloud-based learning environment are considered. The pedagogical features of the SageMath Cloud use as a tool for mathematics learning are revealed. The methodological aspects of algebra and elementary analysis teaching in a high profile school using the cloud-oriented the SCM SageMath Cloud are revealed.
Multilinear Computing and Multilinear Algebraic Geometry
2016-08-10
algebra : linear systems, least squares, eigevalue problems, singular value problems, determinant evaluation, low-rank approximations, etc — problems...intractability to move beyond linear algebra , substantiating what the PI had proposed. High-resolution MRI with tensors: In another piece of work... applications . One reason is that we found out that many statistical estimation problems ( linear regression, errors-in-variables regression, principal components
Analysis of high school students’ environmental literacy
Wardani, R. A. K.; Karyanto, P.; Ramli, M.
2018-05-01
The student’s environmental literacy (EL) is a vital component to improve the awareness of student on environmental issues. This research aims to measure and analyse the EL of high school students, and how the topic of environment has been taught in high school. The research was conducted in February to April 2017. The EL was measured on three aspects, i.e. knowledge, attitude and concern. The participants were sixty-five (21 boys, 44 girls) purposively selected from students of grade X, XI and XII of one Senior High School in Karanganyar Regency, Indonesia. The knowledge of students on concepts of environmental issues was tested by fourteen main questions followed by supported questions. The result showed that 80% of students were classified as inadequate category. The attitude of students was measured by New Ecological Paradigm (NEP) consisted of fifteen items, and students’ average score was 46.42 (medium). The concern was measured by fifteen statements about environment, and it was ranged from 2.58 to 4.18. EL of students may low due to students’ lack understanding of the environment concepts, the limited theories and concepts transferred to students, inappropriate lesson plan to meet the EL components.
Forensic Science Curriculum for High School Students
Burgess, Christiana J.
Over the last several decades, forensic science---the application of science to civil and criminal legal matters---has become of increasing popularity with the public. The range of disciplines within the field is immense, offering individuals the potential for a unique career, regardless of their specific interests or expertise. In response to this growth, many organizations, both public and private, have recognized the need to create forensic science programs that strive to maintain and enhance the quality of forensic science education. Unfortunately, most of the emphasis placed on developing these materials relates to post-secondary education, and creates a significant lack of forensic science educational materials available in the U.S., especially in Oklahoma. The purpose of this project was to create a high school curriculum that provides the foundation for building a broad, yet comprehensive, overview of the field of forensic science and its associated disciplines. The overall goal was to create and provide course materials to high school teachers in order to increase their knowledge of forensic science such that they are able to teach its disciplines effectively and with accuracy. The Forensic Science Curriculum for High School Students includes sample lesson plans, PowerPoint presentations, and lab activities with step-by-step instructions.
Quantitative Algebraic Reasoning
DEFF Research Database (Denmark)
Mardare, Radu Iulian; Panangaden, Prakash; Plotkin, Gordon
2016-01-01
We develop a quantitative analogue of equational reasoning which we call quantitative algebra. We deﬁne an equality relation indexed by rationals: a =ε b which we think of as saying that “a is approximately equal to b up to an error of ε”. We have 4 interesting examples where we have a quantitative...... equational theory whose free algebras correspond to well known structures. In each case we have ﬁnitary and continuous versions. The four cases are: Hausdorﬀ metrics from quantitive semilattices; pWasserstein metrics (hence also the Kantorovich metric) from barycentric algebras and also from pointed...
Chatterjee, D
2007-01-01
About the Book: This book provides exposition of the subject both in its general and algebraic aspects. It deals with the notions of topological spaces, compactness, connectedness, completeness including metrizability and compactification, algebraic aspects of topological spaces through homotopy groups and homology groups. It begins with the basic notions of topological spaces but soon going beyond them reaches the domain of algebra through the notions of homotopy, homology and cohomology. How these approaches work in harmony is the subject matter of this book. The book finally arrives at the
Adaptive algebraic reconstruction technique
International Nuclear Information System (INIS)
Lu Wenkai; Yin Fangfang
2004-01-01
Algebraic reconstruction techniques (ART) are iterative procedures for reconstructing objects from their projections. It is proven that ART can be computationally efficient by carefully arranging the order in which the collected data are accessed during the reconstruction procedure and adaptively adjusting the relaxation parameters. In this paper, an adaptive algebraic reconstruction technique (AART), which adopts the same projection access scheme in multilevel scheme algebraic reconstruction technique (MLS-ART), is proposed. By introducing adaptive adjustment of the relaxation parameters during the reconstruction procedure, one-iteration AART can produce reconstructions with better quality, in comparison with one-iteration MLS-ART. Furthermore, AART outperforms MLS-ART with improved computational efficiency
Cohen, A.M.; Liu, S.
2011-01-01
For each n>0, we define an algebra having many properties that one might expect to hold for a Brauer algebra of type Bn. It is defined by means of a presentation by generators and relations. We show that this algebra is a subalgebra of the Brauer algebra of type Dn+1 and point out a cellular
Shields, Regis Anne; Ireland, Nicole; City, Elizabeth; Derderian, Julie; Miles, Karen Hawley
2008-01-01
This report is one of nine detailed case studies of small urban high schools that served as the foundation for the Education Resource Strategies (ERS) report "Strategic Designs: Lessons from Leading Edge Small Urban High Schools." These nine schools were dubbed "Leading Edge Schools" because they stand apart from other high…
Rivers, Thomas E., Jr.
2012-01-01
This study included a comparison of the graduation rates among high schools in South Carolina closely analyzing school size and socioeconomic status. The purpose for the study was to answer two questions: What patterns and relationships exist between school size and graduation rates at high schools in South Carolina? What patterns and…
Lu, Ting; Li, Ling; Niu, Li; Jin, Shenghua; French, Doran C.
2018-01-01
The concurrent and longitudinal associations between popularity, likeability, and prosocial behavior were evaluated in this three-year study of middle school and high school Chinese adolescents. The initial sample included 766 middle school (mean age = 13.3 years) and 668 high school participants (mean age = 16.6 years); there were 880 (399 girls)…
Jordan, Will J.; McPartland, James M.; Legters, Nettie E.; Balfanz, Robert
2000-01-01
Discusses the need for comprehensive reforms in school organization, curriculum and instruction, and professional development to address the problems of large urban high schools. Describes the Talent Development High School with Career Academies model being developed to meet the needs of such schools. (SLD)
High Pressure Reform: Examining Urban Schools' Response to Multiple School Choice Policies
Holme, Jennifer Jellison; Carkhum, Rian; Rangel, Virginia Snodgrass
2013-01-01
Over the past several decades, policymakers have sought to address the problem of school failure by exposing traditional public schools to competitive market forces. In this analysis, we examine how two traditional public schools in a "high pressure/high choice" urban school cluster in Texas responded to a number of overlapping choice…
Shields, Regis Anne; Ireland, Nicole; City, Elizabeth; Derderian, Julie; Miles, Karen Hawley
2008-01-01
This report is one of nine detailed case studies of small urban high schools that served as the foundation for the Education Resource Strategies (ERS) report "Strategic Designs: Lessons from Leading Edge Small Urban High Schools." These nine schools were dubbed "Leading Edge Schools" because they stand apart from other high…
Shields, Regis Anne; Ireland, Nicole; City, Elizabeth; Derderian, Julie; Miles, Karen Hawley
2008-01-01
This report is one of nine detailed case studies of small urban high schools that served as the foundation for the Education Resource Strategies (ERS) report "Strategic Designs: Lessons from Leading Edge Small Urban High Schools." These nine schools were dubbed "Leading Edge Schools" because they stand apart from other high…
Merits of Undergraduate and High School Research
Kenney, John
2016-06-01
When it comes to sports, everyone gets it; you have to play to really understand, experience, and learn what the game is all about. It would be ludicrous to teach basketball by practicing basketball fundamentals in the gym (layups, free throws, jump shots, dribbling, defense), reading about and attending professional basketball games, but never playing in a game. As important as classes and teaching laboratories may be in science education, there is simply no substitute for active engagement in scientific research to show students what science is all about and, perhaps even more importantly, to inspire and motivate them to become scientists or at least appreciate science. It is a widely held misconception that a student cannot really do meaningful, publishable scientific research until he/she is in graduate school. In actual fact, college undergraduates and even high school students can make original and significant scientific research contributions. Astronomical research, in particular, is very well suited to engage the beginning high school or college undergraduate researcher. The night sky’s inherent accessibility and also its inherent grandeur are natural draws for the curious student’s mind. And much can be learned and discovered using small telescopes. In sports, joining a team is a key aspect of the sports experience. Similarly in science, joining a research team and thereby entering a “community of scientific practice” is fundamental and transformational. As important as working with equipment and acquiring data happen to be in scientific research, this is only the beginning of the research process. Student researchers of all ages—particularly high school students and college undergraduates—have much to gain by giving presentations on their research, writing up their results for publication, and going through the peer review process. But this only works if the student researchers are imbedded within the community of practice.
White, Susan; Tesfaye, Casey Langer
2014-01-01
This report examines enrollments in high school physics during the 2012-13 school year. Based on data from the most recent survey (which includes both public and private high schools in the U.S.), it is estimated that 39% of the class of 2013 took high school physics before graduating. During the 2012-13 school year, 1.38 million students were…
HIGH SCHOOL STUDENTS’ VIEWS ON BLENDED LEARNING
Directory of Open Access Journals (Sweden)
Ibrahim Umit YAPICI,
2012-08-01
Full Text Available In this study, it is aimed to determine the high school students’ views on blended learning. The study was carried out in biology course for the lesson unit of “Classification of Living Things and Biodiversity” with 47 9th grade students attending Nevzat Ayaz Anatolian High School in the second term of the academic year of 2009-2010. The lessons were taught in a way appropriate to the blended learning model both via the Internet and on face-to-face basis. As the online dimension of the blended learning model, Moodle, a Learning Management System (LMS, was used. The application lasted 10 weeks. The scale of learners’ views on blended learning was applied and interviews were held to determine the views. As a result of the analysis of the scale, it was seen that their views were “highly” positive. The interviews held with the students revealed that the blended learning model provided students with various opportunities such as getting prepared for the lessons, reviewing the lessons as many times as wanted, reaching the subject-related materials without being dependent on time and place, testing oneself and communicating with the teacher and other students out of the school. The interviews also revealed that there were various problems though such as lack of Internet connection at home and problems experienced while playing the videos.
Energy Design Guidelines for High Performance Schools: Tropical Island Climates
Energy Technology Data Exchange (ETDEWEB)
2004-11-01
The Energy Design Guidelines for High Performance Schools--Tropical Island Climates provides school boards, administrators, and design staff with guidance to help them make informed decisions about energy and environmental issues important to school systems and communities. These design guidelines outline high performance principles for the new or retrofit design of your K-12 school in tropical island climates. By incorporating energy improvements into their construction or renovation plans, schools can significantly reduce energy consumption and costs.
The Treatment of Wealth Distribution by High School Economics Textbooks
Neumann, Richard
2014-01-01
This article presents findings from an investigation of the treatment of wealth distribution by high school economics textbooks. The eight leading high school economics texts in the United States were examined.
Profinite algebras and affine boundedness
Schneider, Friedrich Martin; Zumbrägel, Jens
2015-01-01
We prove a characterization of profinite algebras, i.e., topological algebras that are isomorphic to a projective limit of finite discrete algebras. In general profiniteness concerns both the topological and algebraic characteristics of a topological algebra, whereas for topological groups, rings, semigroups, and distributive lattices, profiniteness turns out to be a purely topological property as it is is equivalent to the underlying topological space being a Stone space. Condensing the core...
Pseudo-Riemannian Novikov algebras
Energy Technology Data Exchange (ETDEWEB)
Chen Zhiqi; Zhu Fuhai [School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071 (China)], E-mail: chenzhiqi@nankai.edu.cn, E-mail: zhufuhai@nankai.edu.cn
2008-08-08
Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic-type and Hamiltonian operators in formal variational calculus. Pseudo-Riemannian Novikov algebras denote Novikov algebras with non-degenerate invariant symmetric bilinear forms. In this paper, we find that there is a remarkable geometry on pseudo-Riemannian Novikov algebras, and give a special class of pseudo-Riemannian Novikov algebras.
International Nuclear Information System (INIS)
Lebedenko, V.M.
1978-01-01
The PR-algebras, i.e. the Lie algebras with commutation relations of [Hsub(i),Hsub(j)]=rsub(ij)Hsub(i)(i< j) type are investigated. On the basis of former results a criterion for the membership of 2-solvable Lie algebras to the PR-algebra class is given. The conditions imposed by the criterion are formulated in the linear algebra language
Indian Academy of Sciences (India)
algebraic geometry but also in related fields like number theory. ... every vector bundle on the affine space is trivial. (equivalently ... les on a compact Riemann surface to unitary rep- ... tial geometry and topology and was generalised in.
Axler, Sheldon
2015-01-01
This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions. No prerequisites are assumed other than the ...
Algebraic Semantics for Narrative
Kahn, E.
1974-01-01
This paper uses discussion of Edmund Spenser's "The Faerie Queene" to present a theoretical framework for explaining the semantics of narrative discourse. The algebraic theory of finite automata is used. (CK)
Leamer, Micah J.
2004-01-01
Let K be a field and Q a finite directed multi-graph. In this paper I classify all path algebras KQ and admissible orders with the property that all of their finitely generated ideals have finite Groebner bases. MS
Differential Hopf algebra structures on the Universal Enveloping Algebra of a Lie Algebra
van den Hijligenberg, N.W.; van den Hijligenberg, N.; Martini, Ruud
1995-01-01
We discuss a method to construct a De Rham complex (differential algebra) of Poincaré–Birkhoff–Witt type on the universal enveloping algebra of a Lie algebra g. We determine the cases in which this gives rise to a differential Hopf algebra that naturally extends the Hopf algebrastructure of U(g).
International Nuclear Information System (INIS)
Waldron, A.K.; Joshi, G.C.
1992-01-01
By considering representation theory for non-associative algebras the fundamental adjoint representations of the octonion algebra is constructed. It is then shown how these representations by associative matrices allow a consistent octonionic gauge theory to be realized. It was found that non-associativity implies the existence of new terms in the transformation laws of fields and the kinetic term of an octonionic Lagrangian. 13 refs
Institute of Scientific and Technical Information of China (English)
Antonio AIZPURU; Antonio GUTI(E)RREZ-D(A)VILA
2004-01-01
In this paper we will study some families and subalgebras ( ) of ( )(N) that let us characterize the unconditional convergence of series through the weak convergence of subseries ∑i∈A xi, A ∈ ( ).As a consequence, we obtain a new version of the Orlicz-Pettis theorem, for Banach spaces. We also study some relationships between algebraic properties of Boolean algebras and topological properties of the corresponding Stone spaces.
Polynomials in algebraic analysis
Multarzyński, Piotr
2012-01-01
The concept of polynomials in the sense of algebraic analysis, for a single right invertible linear operator, was introduced and studied originally by D. Przeworska-Rolewicz \\cite{DPR}. One of the elegant results corresponding with that notion is a purely algebraic version of the Taylor formula, being a generalization of its usual counterpart, well known for functions of one variable. In quantum calculus there are some specific discrete derivations analyzed, which are right invertible linear ...
Intermediate algebra & analytic geometry
Gondin, William R
1967-01-01
Intermediate Algebra & Analytic Geometry Made Simple focuses on the principles, processes, calculations, and methodologies involved in intermediate algebra and analytic geometry. The publication first offers information on linear equations in two unknowns and variables, functions, and graphs. Discussions focus on graphic interpretations, explicit and implicit functions, first quadrant graphs, variables and functions, determinate and indeterminate systems, independent and dependent equations, and defective and redundant systems. The text then examines quadratic equations in one variable, system
Currents on Grassmann algebras
International Nuclear Information System (INIS)
Coquereaux, R.; Ragoucy, E.
1993-09-01
Currents are defined on a Grassmann algebra Gr(N) with N generators as distributions on its exterior algebra (using the symmetric wedge product). The currents are interpreted in terms of Z 2 -graded Hochschild cohomology and closed currents in terms of cyclic cocycles (they are particular multilinear forms on Gr(N)). An explicit construction of the vector space of closed currents of degree p on Gr(N) is given by using Berezin integration. (authors). 10 refs
Introduction to abstract algebra
Nicholson, W Keith
2012-01-01
Praise for the Third Edition ". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."-Zentralblatt MATH The Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can immediately be
Fundamentals of algebraic graph transformation
Ehrig, Hartmut; Prange, Ulrike; Taentzer, Gabriele
2006-01-01
Graphs are widely used to represent structural information in the form of objects and connections between them. Graph transformation is the rule-based manipulation of graphs, an increasingly important concept in computer science and related fields. This is the first textbook treatment of the algebraic approach to graph transformation, based on algebraic structures and category theory. Part I is an introduction to the classical case of graph and typed graph transformation. In Part II basic and advanced results are first shown for an abstract form of replacement systems, so-called adhesive high-level replacement systems based on category theory, and are then instantiated to several forms of graph and Petri net transformation systems. Part III develops typed attributed graph transformation, a technique of key relevance in the modeling of visual languages and in model transformation. Part IV contains a practical case study on model transformation and a presentation of the AGG (attributed graph grammar) tool envir...
Success Despite Socioeconomics: A Case Study of a High-Achieving, High-Poverty School
Tilley, Thomas Brent; Smith, Samuel J.; Claxton, Russell L.
2012-01-01
This case study of a high-achieving, high-poverty school describes the school's leadership, culture, and programs that contributed to its success. Data were collected from two surveys (the School Culture Survey and the Vanderbilt Assessment of Leadership in Education), observations at the school site, and interviews with school personnel. The…
Blended Learning and Student Engagement in an Urban High School
Johnson, Courtney
2017-01-01
A metropolitan school district wanted to understand blended learning as it existed in one of their high schools. Blended learning had been school-wide for four years, and district administrators wanted to know how students, teachers, and school administrators perceived blended learning and its impact on student engagement. This was a…
Humanizing the High School: The Power of Peers.
Stader, David L.; Gagnepain, F. J.
2000-01-01
Discusses what high schools can do to improve student relationships, highlighting a St. Louis area school's efforts to develop peer-mentoring and peer-mediation programs. Offers guidelines to help other schools develop a school culture that promotes caring, teaches constructive conflict resolution, and reduces potential for violence. (MLH)
The Boolean algebra of Galois algebras
Directory of Open Access Journals (Sweden)
Lianyong Xue
2003-02-01
Full Text Available Let B be a Galois algebra with Galois group G, Jg={bÃ¢ÂˆÂˆB|bx=g(xbÃ¢Â€Â‰for allÃ¢Â€Â‰xÃ¢ÂˆÂˆB} for each gÃ¢ÂˆÂˆG, and BJg=Beg for a central idempotent eg, Ba the Boolean algebra generated by {0,eg|gÃ¢ÂˆÂˆG}, e a nonzero element in Ba, and He={gÃ¢ÂˆÂˆG|eeg=e}. Then, a monomial e is characterized, and the Galois extension Be, generated by e with Galois group He, is investigated.
Science dual enrollment: An examination of high school students' post-secondary aspirations
Berry, Chelsia
The purpose of this study was to determine if participation in science dual enrollment courses influenced African American high school students' post-secondary aspirations that will lead to college attendance. The investigation examined the relationship between African American students' learning experiences and how their self-efficacy and outcome expectations impact their goal setting. The goal was to determine the impact of the following variables on African American students' plan to pursue a bachelor's or advanced degree: (a) STEM exposure, (b) Algebra 1 achievement, (c) level of science class, and (d) receiving science college credit for dual enrollment course. The social cognitive career theory framed this body of research to explore how career and academic interests mature, are developed, and are translated into action. Science dual enrollment participation is a strategy for addressing the lack of African American presence in the STEM fields. The causal comparative ex post facto research design was used in this quantitative study. The researcher performed the Kruskal-Wallis non-parametric analysis of variance and Pearson's chi-square tests to analyze secondary data from the High School Longitudinal Study first follow-up student questionnaire. The results indicate that STEM exposure and early success in Algebra 1 have a statistically significant impact on African American students' ambition to pursue a bachelor's or advanced degree. According to the Pearson's chi-square and independent sample Kruskal-Wallis analyses, level of students' science class and receiving college credit for dual enrollment do not significantly influence African American students' postsecondary aspirations.
Real division algebras and other algebras motivated by physics
International Nuclear Information System (INIS)
Benkart, G.; Osborn, J.M.
1981-01-01
In this survey we discuss several general techniques which have been productive in the study of real division algebras, flexible Lie-admissible algebras, and other nonassociative algebras, and we summarize results obtained using these methods. The principal method involved in this work is to view an algebra A as a module for a semisimple Lie algebra of derivations of A and to use representation theory to study products in A. In the case of real division algebras, we also discuss the use of isotopy and the use of a generalized Peirce decomposition. Most of the work summarized here has appeared in more detail in various other papers. The exceptions are results on a class of algebras of dimension 15, motivated by physics, which admit the Lie algebra sl(3) as an algebra of derivations
Gay Youth in American Public High Schools: Invisible Diversity.
Reed, Donald B.
Gay youth enter high school with the knowledge that they are different and with the belief that heterosexuality is normal and that homosexuality is not normal. Also, gay youth enter high school with the belief that honesty and integrity are important personal values. Additionally, the gay youth enter high school without family knowledge of their…
TOCUSO: Test of Conceptual Understanding on High School Optics Topics
Akarsu, Bayram
2012-01-01
Physics educators around the world often need reliable diagnostic materials to measure students' understanding of physics concept in high school. The purpose of this study is to evaluate a new diagnostic tool on High School Optics concept. Test of Conceptual Understanding on High School Optics (TOCUSO) consists of 25 conceptual items that measures…
Owate, C. N.; Iroha, Okpa
2013-01-01
This study investigates the availability and utilization of school library resources by Secondary School (High School) Students. Eight Selected Secondary Schools in Rivers State, Nigeria were chosen based on their performance in external examinations and geographic locations. In carrying out the research, questionnaires were administered to both…
Chen, Ji-Kang; Astor, Ron Avi
2012-01-01
Using a nationally representative sample of 3,058 junior high school students in Taiwan, this study examines a model of how personal traits, family factors, and school dynamics influence school violence committed by students against students and teachers. This model proposed that school violence is directly influenced by personal traits,…
The physical activity climate in Minnesota middle and high schools.
Samuelson, Anne; Lytle, Leslie; Pasch, Keryn; Farbakhsh, Kian; Moe, Stacey; Sirard, John Ronald
2010-11-01
This article describes policies, practices, and facilities that form the physical activity climate in Minneapolis/St. Paul, Minnesota metro area middle and high schools and examines how the physical activity climate varies by school characteristics, including public/private, school location and grade level. Surveys examining school physical activity practices, policies and environment were administered to principals and physical education department heads from 115 middle and high schools participating in the Transdisciplinary Research on Energetics and Cancer-Identifying Determinants of Eating and Activity (TREC-IDEA) study. While some supportive practices were highly prevalent in the schools studied (such as prohibiting substitution of other classes for physical education); other practices were less common (such as providing opportunity for intramural (noncompetitive) sports). Public schools vs. private schools and schools with a larger school enrollment were more likely to have a school climate supportive of physical activity. Although schools reported elements of positive physical activity climates, discrepancies exist by school characteristics. Of note, public schools were more than twice as likely as private schools to have supportive physical activity environments. Establishing more consistent physical activity expectations and funding at the state and national level is necessary to increase regular school physical activity.
European School of High-Energy Physics
2006-01-01
The European School of High-Energy Physics is intended to give young experimental physicists an introduction to the theoretical aspects of recent advances in elementary particle physics. These proceedings contain lectures notes on field theory and the Standard Model, quantum chromodynamics, flavour physics and CP violation, experimental aspects of CP violation in K and B decays, relativistic heavy-ion physics, and the scientific programme of the Joint Institute for Nuclear Research. These core scientific topics are complemented by a lecture about the physics of ski jumping.
Facebook and socializing among high school students
Kordić, Boris; Babić, Lepa
2011-01-01
Facebook is currently the most popular friend-networking site in the world. The concept of friends on social networking site does not coincide with the notion of friends in real life. Nevertheless, Facebook is a social network that is based on real friends with the possibility of accepting strangers. In a study on a sample of 150 pupils from High School of Economics, we found that all have a profile on Facebook, the majority spends two hours a day on Facebook and has over a hundred Facebook f...
Special set linear algebra and special set fuzzy linear algebra
Kandasamy, W. B. Vasantha; Smarandache, Florentin; Ilanthenral, K.
2009-01-01
The authors in this book introduce the notion of special set linear algebra and special set fuzzy Linear algebra, which is an extension of the notion set linear algebra and set fuzzy linear algebra. These concepts are best suited in the application of multi expert models and cryptology. This book has five chapters. In chapter one the basic concepts about set linear algebra is given in order to make this book a self contained one. The notion of special set linear algebra and their fuzzy analog...
Predicting Parental Home and School Involvement in High School African American Adolescents
Hayes, DeMarquis
2011-01-01
Predictors of parental home and school involvement for high school adolescents were examined within two groups of urban African American parents from various socioeconomic levels. Home involvement was defined as parent-adolescent communication about school and learning, while school involvement was defined in terms of parent attendance and…
Hoffman, Pamela K.; Davey, Cynthia S.; Larson, Nicole; Grannon, Katherine Y.; Hanson, Carlie; Nanney, Marilyn S.
2016-01-01
Weight-related outcomes were examined among high school students in Minnesota public school districts according to the quality of district wellness policies. Wellness policy strength and comprehensiveness were scored using the Wellness School Assessment Tool (WellSAT) for 325 Minnesota public school districts in 2013. The associations between…
The Educational Benefits of Attending Higher Performing Schools: Evidence from Chicago High Schools
Allensworth, Elaine M.; Moore, Paul T.; Sartain, Lauren; de la Torre, Marisa
2017-01-01
Policymakers are implementing reforms with the assumption that students do better when attending high-achieving schools. In this article, we use longitudinal data from Chicago Public Schools to test that assumption. We find that the effects of attending a higher performing school depend on the school's performance level. At elite public schools…
Ismail, Siti Noor
2014-01-01
Purpose: This study attempted to determine whether the dimensions of TQM practices are predictors of school climate. It aimed to identify the level of TQM practices and school climate in three different categories of schools, namely high, average and low performance schools. The study also sought to examine which dimensions of TQM practices…
Yang, Chunyan; Sharkey, Jill D.; Reed, Lauren A.; Chen, Chun; Dowdy, Erin
2018-01-01
Bullying is the most common form of school violence and is associated with a range of negative outcomes, including traumatic responses. This study used hierarchical linear modeling to examine the multilevel moderating effects of school climate and school level (i.e., elementary, middle, and high schools) on the association between bullying…
Effects of Part-Time Work on School Achievement During High School
Singh, Kusum; Chang, Mido; Dika, Sandra
2007-01-01
The authors explored the effects of part-time work on school achievement during high school. To estimate the true effects of part-time work on school grades, the authors included family background, students' educational aspirations, and school engagement as controls. Although a substantial literature exists on the relationship of part-time work…
High School Graduation Rates:Alternative Methods and Implications
Jing Miao; Walt Haney
2004-01-01
The No Child Left Behind Act has brought great attention to the high school graduation rate as one of the mandatory accountability measures for public school systems. However, there is no consensus on how to calculate the high school graduation rate given the lack of longitudinal databases that track individual students. This study reviews literature on and practices in reporting high school graduation rates, compares graduation rate estimates yielded from alternative methods, and estimates d...
Hecke algebras with unequal parameters
Lusztig, G
2003-01-01
Hecke algebras arise in representation theory as endomorphism algebras of induced representations. One of the most important classes of Hecke algebras is related to representations of reductive algebraic groups over p-adic or finite fields. In 1979, in the simplest (equal parameter) case of such Hecke algebras, Kazhdan and Lusztig discovered a particular basis (the KL-basis) in a Hecke algebra, which is very important in studying relations between representation theory and geometry of the corresponding flag varieties. It turned out that the elements of the KL-basis also possess very interesting combinatorial properties. In the present book, the author extends the theory of the KL-basis to a more general class of Hecke algebras, the so-called algebras with unequal parameters. In particular, he formulates conjectures describing the properties of Hecke algebras with unequal parameters and presents examples verifying these conjectures in particular cases. Written in the author's precise style, the book gives rese...
The Relationships among the Fine Arts, School Culture, and High School Graduation Rates in Georgia
Lovett, Andrew, Jr.
2014-01-01
High school graduation is the single largest hurdle that students must achieve to prepare for college and career (National Governor's Association, 2011). Fleischman & Heppen (2009) agree that American high schools must address the problem of declining graduation rate. Approximately 1.28 million students drop out of high school annually (Amos,…
Axis Problem of Rough 3-Valued Algebras
Institute of Scientific and Technical Information of China (English)
Jianhua Dai; Weidong Chen; Yunhe Pan
2006-01-01
The collection of all the rough sets of an approximation space has been given several algebraic interpretations, including Stone algebras, regular double Stone algebras, semi-simple Nelson algebras, pre-rough algebras and 3-valued Lukasiewicz algebras. A 3-valued Lukasiewicz algebra is a Stone algebra, a regular double Stone algebra, a semi-simple Nelson algebra, a pre-rough algebra. Thus, we call the algebra constructed by the collection of rough sets of an approximation space a rough 3-valued Lukasiewicz algebra. In this paper,the rough 3-valued Lukasiewicz algebras, which are a special kind of 3-valued Lukasiewicz algebras, are studied. Whether the rough 3-valued Lukasiewicz algebra is a axled 3-valued Lukasiewicz algebra is examined.
Flipped Instruction with English Language Learners at a Newcomer High School
Graziano, Kevin J.; Hall, John D.
2017-01-01
Research on flipped instruction with English Language Learners (ELLs) is sparse. Data-driven flipped research conducted with ELLs primarily involves adult learners attending a college or university. This study examined the academic performance of secondary ELLs who received flipped instruction in an algebra course at a newcomer school compared to…
Topics in algebra and analysis preparing for the mathematical olympiad
Bulajich Manfrino, Radmila; Valdez Delgado, Rogelio
2015-01-01
The techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. In the first four chapters the authors cover material for competitions at high school level. The level advances with the chapters. The topics explored include polynomials, functional equations, sequences and an elementary treatment of complex numbers. The final chapters provide a comprehensive list of problems posed at national and international contests in recent years, and solutions to all exercises and problems presented in the book. It helps students in preparing for national and international mathematical contests form high school level to more advanced competitions and will also be useful for their first year of mathematical studies at the university. It will be of interest to teachers in college and university level, and trainers of the mathematical Olympiads.
Contemporary developments in algebraic K-theory
Energy Technology Data Exchange (ETDEWEB)
Karoubi, M [Univ. Paris (France); Kuku, A O [Abdus Salam International Centre for Theoretical Physics, Trieste (Italy); Pedrini, C [Univ. Genova (Italy)
2003-09-15
The School and Conference on Algebraic K-theory which took place at ICTP July 8-26, 2002 was a follow-up to the earlier one in 1997, and like its predecessor, the 2002 meeting endeavoured to emphasise the multidisciplinary aspects of the subject. However, one special feature of the 2002 School and Conference is that the whole activity was dedicated to H. Bass, one of the founders of Algebraic K-theory, on the occasion of his seventieth birthday. The School during the first two weeks, July 8 to 19 was devoted to expository lectures meant to explore and highlight connections between K-theory and several other areas of mathematics - Algebraic Topology, Number theory, Algebraic Geometry, Representation theory, and Non-commutative Geometry. This volume, constituting the Proceedings of the School, is dedicated to H. Bass. The Proceedings of the Conference during the last week July 22 - 26, which will appear in Special issues of K-theory, is also dedicated to H. Bass. The opening contribution by M. Karoubi to this volume consists of a comprehensive survey of developments in K-theory in the last forty-five years, and covers a very broad spectrum of the subject, including Topological K-theory, Atiyah-Singer index theorem, K-theory of Banach algebras, Higher Algebraic K-theory, Cyclic Homology etc. J. Berrick's contribution on 'Algebraic K-theory and Algebraic Topology' treats the various topological constructions of Algebraic K-theory together with the underlying homotopy theory. Topics covered include the plus construction together with its various ramifications and applications, Topological Hochschild and Cyclic Homology as well as K-theory of the ring of integers. The contributions by M. Kolster titled 'K-theory and Arithmetics' includes such topics as values of zeta functions and relations to K-theory, K-theory of integers in number fields and associated conjectures, Etale cohomology, Iwasawa theory etc. A.O. Kuku's contributions on 'K-theory and Representation theory
Shopping Problems among High School Students
Grant, Jon E.; Potenza, Marc N.; Krishnan-Sarin, Suchitra; Cavallo, Dana A.; Desai, Rani A.
2010-01-01
Background Although shopping behavior among adolescents is normal, for some the shopping becomes problematic. An assessment of adolescent shopping behavior along a continuum of severity and its relationship to other behaviors and health issues is incompletely understood. Methods A large sample of high school students (n=3999) was examined using a self-report survey with 153 questions concerning demographic characteristics, shopping behaviors, other health behaviors including substance use, and functioning variables such as grades and violent behavior. Results The overall prevalence of problem shopping was 3.5% (95%CI: 2.93–4.07). Regular smoking, marijuana and other drug use, sadness and hopelessness, and antisocial behaviors (e.g., fighting, carrying weapons) were associated with problem shopping behavior in both boys and girls. Heavy alcohol use was significantly associated with problem shopping only in girls. Conclusion Problem shopping appears fairly common among high school students and is associated with symptoms of depression and a range of potentially addictive and antisocial behaviors. Significant distress and diminished behavioral control suggest that excessive shopping may often have significant associated morbidity. Additional research is needed to develop specific prevention and treatment strategies for adolescents who report problems with shopping. PMID:21497217
Shopping problems among high school students.
Grant, Jon E; Potenza, Marc N; Krishnan-Sarin, Suchitra; Cavallo, Dana A; Desai, Rani A
2011-01-01
Although shopping behavior among adolescents is normal, for some, the shopping becomes problematic. An assessment of adolescent shopping behavior along a continuum of severity and its relationship to other behaviors and health issues is incompletely understood. A large sample of high school students (n = 3999) was examined using a self-report survey with 153 questions concerning demographic characteristics, shopping behaviors, other health behaviors including substance use, and functioning variables such as grades and violent behavior. The overall prevalence of problem shopping was 3.5% (95% CI, 2.93-4.07). Regular smoking, marijuana and other drug use, sadness and hopelessness, and antisocial behaviors (e.g., fighting, carrying weapons) were associated with problem shopping behavior in both boys and girls. Heavy alcohol use was significantly associated with problem shopping only in girls. Problem shopping appears fairly common among high school students and is associated with symptoms of depression and a range of potentially addictive and antisocial behaviors. Significant distress and diminished behavioral control suggest that excessive shopping may often have significant associated morbidity. Additional research is needed to develop specific prevention and treatment strategies for adolescents who report problems with shopping. Copyright © 2011 Elsevier Inc. All rights reserved.
The School Absenteeism among High School Students: Contributing Factors
Balkis, Murat; Arslan, Gökmen; Duru, Erdinç
2016-01-01
The aim of this study was to examine the direct and indirect relationship between student school absenteeism, personal factors (academic self- perception, attitudes towards teacher and school, goal valuation and motivation/ self-regulation), family factors (parents' educational level and income), and academic achievement in structural equation…
Davidson, Kenneth R
1996-01-01
The subject of C*-algebras received a dramatic revitalization in the 1970s by the introduction of topological methods through the work of Brown, Douglas, and Fillmore on extensions of C*-algebras and Elliott's use of K-theory to provide a useful classification of AF algebras. These results were the beginning of a marvelous new set of tools for analyzing concrete C*-algebras. This book is an introductory graduate level text which presents the basics of the subject through a detailed analysis of several important classes of C*-algebras. The development of operator algebras in the last twenty yea
Algebra II workbook for dummies
Sterling, Mary Jane
2014-01-01
To succeed in Algebra II, start practicing now Algebra II builds on your Algebra I skills to prepare you for trigonometry, calculus, and a of myriad STEM topics. Working through practice problems helps students better ingest and retain lesson content, creating a solid foundation to build on for future success. Algebra II Workbook For Dummies, 2nd Edition helps you learn Algebra II by doing Algebra II. Author and math professor Mary Jane Sterling walks you through the entire course, showing you how to approach and solve the problems you encounter in class. You'll begin by refreshing your Algebr
Case Study: North Laurel High School, London, Kentucky.
Southern Regional Education Board, Atlanta, GA.
When North Laurel High School, London, Kentucky, opened in Fall 1992, students and teachers entered a new facility and a new era of commitment to excellence for all students. In Spring 1993, North Laurel joined the Southern Regional Education Board's High Schools That Work initiative. The new school replaced the general track and raised graduation…
Attitudes of Turkish High School Students toward Mathematics
Yenilmez, Kursat
2007-01-01
This study examines high school students' attitudes toward mathematics and analyzes whether there were differences in attitude and its source that could be attributed to gender, class level, type of school, mathematics success, whether the students received preschool education, families' income level, and high school student's place of living.…
A Workshop for High School Students on Naive Set Theory
Wegner, Sven-Ake
2014-01-01
In this article we present the prototype of a workshop on naive set theory designed for high school students in or around the seventh year of primary education. Our concept is based on two events which the author organized in 2006 and 2010 for students of elementary school and high school, respectively. The article also includes a practice report…
Examining the Internet Addiction Levels of High School Senior Students
Aydemir, Hasan
2018-01-01
In the present study, the internet addiction status of high school senior students in Yesilyurt county of Malatya was analyzed and examined in terms of gender variable. The study population consisted of 3442 senior students who were studying at 37 high schools in state schools in Yesilyurt County of the city of Malatya in 2016-2017 academic year.…
Mental skills of South African male high school rugby players ...
African Journals Online (AJOL)
The aim of this study was to establish preliminary South African high school rugby norms for the BMSQ. The sample consisted of 152 male high school rugby players from two schools in the Ethekwini region. Preliminary norms are presented in the form of means and standard deviations. Results are compared with those of ...
Aggressive Students and High School Dropout: An Event History Analysis
Orozco, Steven R.
2016-01-01
Aggressive students often struggle in multiple domains of their school functioning and are at increased risk for high school dropout. Research has identified a variety of warning flags which are strong predictors of high school dropout. While it is known that aggressive students exhibit many of these warning flags, there is little research which…
The High School Dropout Problem: Perspectives of Teachers and Principals
Bridgeland, John M.; Dilulio, John J., Jr.; Balfanz, Robert
2009-01-01
To better understand the views of teachers and administrators on the high school dropout problem, focus groups and nationally representative surveys were conducted of high school teachers and principals. A focus group of superintendents and school board members was also included. To help interpret the results, the authors convened a colloquium…
"Higher Expectations" in the Catholic Inner City High School.
Harkins, William
1987-01-01
Considers the implications of statistics on death and poverty in minority communities for Catholic high schools with large minority populations. Sees hope at the heart of the Catholic high school. Discusses how teachers, school climate, and careful curriculum design can help instill this hope in the students. (DMM)
Sexuality Education in Junior High Schools in Japan
Hashimoto, N.; Shinohara, H.; Tashiro, M.; Suzuki, S.; Hirose, H.; Ikeya, H.; Ushitora, K.; Komiya, A.; Watanabe, M.; Motegi, T.; Morioka, M.
2012-01-01
This paper aims to determine via responses to three questionnaire surveys how sexuality education programs are conducted at junior high schools in Japan. Study 1 examined the practice of sexuality education in schools, Study 2 investigated junior high school students' (age 12-13 and 14-15 years) knowledge of sexuality, and Study 3 examined…
The Characteristics of High School Department Chairs: A National Perspective
DeAngelis, Karen J.
2013-01-01
Department chairs occupy a potentially important leadership position in high schools, yet little is known about them, particularly with regard to who they are and how they compare to other high school teachers. This is surprising given growing expectations for distributed leadership practice in schools. In this study, I utilize a national dataset…
Chaney, Maura Chase
2013-01-01
The purpose of this case study was to examine the transition from junior high school to a middle school as experienced in two middle schools from a mid-sized urban school district located in the Rocky Mountains. The overarching question that guided data collection for this study centered on the factors that influenced school culture before,…
White, Susan; Tesfaye, Casey Langer
2014-01-01
In this report, the authors share their analysis of the data from over 3,500 high schools in the U.S. beginning with an examination of the availability of physics in U.S. high schools. The schools in their sample are a nationally-representative random sample of the almost 25,000 high schools in forty-nine of the fifty states. Table 1 shows the…
Forward error correction based on algebraic-geometric theory
A Alzubi, Jafar; M Chen, Thomas
2014-01-01
This book covers the design, construction, and implementation of algebraic-geometric codes from Hermitian curves. Matlab simulations of algebraic-geometric codes and Reed-Solomon codes compare their bit error rate using different modulation schemes over additive white Gaussian noise channel model. Simulation results of Algebraic-geometric codes bit error rate performance using quadrature amplitude modulation (16QAM and 64QAM) are presented for the first time and shown to outperform Reed-Solomon codes at various code rates and channel models. The book proposes algebraic-geometric block turbo codes. It also presents simulation results that show an improved bit error rate performance at the cost of high system complexity due to using algebraic-geometric codes and Chase-Pyndiah’s algorithm simultaneously. The book proposes algebraic-geometric irregular block turbo codes (AG-IBTC) to reduce system complexity. Simulation results for AG-IBTCs are presented for the first time.
Srinivas, V
1996-01-01
Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and graduate students in mathematics. The book is based on lectures given at the author's home institution, the Tata Institute in Bombay, and elsewhere. A detailed appendix on topology was provided in the first edition to make the treatment accessible to readers with a limited background in topology. The second edition also includes an appendix on algebraic geometry that contains the required definitions and results needed to understand the core of the book; this makes the book accessible to a wider audience. A central part of the book is a detailed exposition of the ideas of Quillen as contained in his classic papers "Higher Algebraic K-Theory, I, II." A more elementary proof of the theorem of Merkujev--Suslin is given in this edition; this makes the treatment of this topic self-contained. An application ...
Energy Design Guidelines for High Performance Schools: Tropical Island Climates
Energy Technology Data Exchange (ETDEWEB)
None
2004-11-01
Design guidelines outline high performance principles for the new or retrofit design of K-12 schools in tropical island climates. By incorporating energy improvements into construction or renovation plans, schools can reduce energy consumption and costs.
prevalence of substance use among rural high school students
African Journals Online (AJOL)
Administrator
School of Public Health, University of the Limpopo. Sovenga, South Africa ... KEY WORDS: substance use, rural high school students, South Africa ... increased into the 1990s, these behaviours ..... Canada's Mental Health Supplement, 68,. 12.
Astronomy Education Project for Guangdong High Schools F. P. Pi ...
Indian Academy of Sciences (India)
School of Physics and Electronic Engineering, Guangzhou University, ... an astronomy education project for high school teachers and students was initiated ... ipality, universities and research institutes, professional and amateur astronomical.
Regularity of C*-algebras and central sequence algebras
DEFF Research Database (Denmark)
Christensen, Martin S.
The main topic of this thesis is regularity properties of C*-algebras and how these regularity properties are re ected in their associated central sequence algebras. The thesis consists of an introduction followed by four papers [A], [B], [C], [D]. In [A], we show that for the class of simple...... Villadsen algebra of either the rst type with seed space a nite dimensional CW complex, or the second type, tensorial absorption of the Jiang-Su algebra is characterized by the absence of characters on the central sequence algebra. Additionally, in a joint appendix with Joan Bosa, we show that the Villadsen...... algebra of the second type with innite stable rank fails the corona factorization property. In [B], we consider the class of separable C*-algebras which do not admit characters on their central sequence algebra, and show that it has nice permanence properties. We also introduce a new divisibility property...
Interactions Between Representation Ttheory, Algebraic Topology and Commutative Algebra
Pitsch, Wolfgang; Zarzuela, Santiago
2016-01-01
This book includes 33 expanded abstracts of selected talks given at the two workshops "Homological Bonds Between Commutative Algebra and Representation Theory" and "Brave New Algebra: Opening Perspectives," and the conference "Opening Perspectives in Algebra, Representations, and Topology," held at the Centre de Recerca Matemàtica (CRM) in Barcelona between January and June 2015. These activities were part of the one-semester intensive research program "Interactions Between Representation Theory, Algebraic Topology and Commutative Algebra (IRTATCA)." Most of the abstracts present preliminary versions of not-yet published results and cover a large number of topics (including commutative and non commutative algebra, algebraic topology, singularity theory, triangulated categories, representation theory) overlapping with homological methods. This comprehensive book is a valuable resource for the community of researchers interested in homological algebra in a broad sense, and those curious to learn the latest dev...
Quantum cluster algebra structures on quantum nilpotent algebras
Goodearl, K R
2017-01-01
All algebras in a very large, axiomatically defined class of quantum nilpotent algebras are proved to possess quantum cluster algebra structures under mild conditions. Furthermore, it is shown that these quantum cluster algebras always equal the corresponding upper quantum cluster algebras. Previous approaches to these problems for the construction of (quantum) cluster algebra structures on (quantized) coordinate rings arising in Lie theory were done on a case by case basis relying on the combinatorics of each concrete family. The results of the paper have a broad range of applications to these problems, including the construction of quantum cluster algebra structures on quantum unipotent groups and quantum double Bruhat cells (the Berenstein-Zelevinsky conjecture), and treat these problems from a unified perspective. All such applications also establish equality between the constructed quantum cluster algebras and their upper counterparts.