8th Grade Algebra Teachers in Arkansas to Need State Nod
ERIC Educational Resources Information Center
Cavanagh, Sean
2008-01-01
Lindsay E. Carlton has taught mathematics to students at different grades, with different ability levels. Now, the young educator's state wants to recognize her ability to work with one group in particular: 8th graders enrolled in introductory algebra. Carlton is one of many math educators across Arkansas who plan to acquire a new, unusual state…
ERIC Educational Resources Information Center
Rickles, Jordan; Phillips, Meredith; Yamashiro, Kyo
2014-01-01
Between 1990 and 2012, the percentage of 13-year-olds (most of whom are 8th graders) taking algebra more than doubled, from 15% to 34% (National Center for Education Statistics, 2013). Yet recent education policy changes suggest that this movement to encourage algebra-taking in 8th grade has begun to reverse course. Existing research suggests that…
The Great Debate: Should All 8th Graders Take Algebra?
ERIC Educational Resources Information Center
McKibben, Sarah
2009-01-01
While 8th grade algebra was once reserved as a course for the gifted, today, more U.S. 8th graders take algebra than any other math course. This article discusses a report from the Brookings Institution which chronicles the history of the 8th-grade algebra surge and its impact on today's low-performing students. The report indicates that many of…
Investigation into How 8th Grade Students Define Fractals
ERIC Educational Resources Information Center
Karakus, Fatih
2015-01-01
The analysis of 8th grade students' concept definitions and concept images can provide information about their mental schema of fractals. There is limited research on students' understanding and definitions of fractals. Therefore, this study aimed to investigate the elementary students' definitions of fractals based on concept image and concept…
The Effect of Internet-Based Education on Student Success in Teaching of 8th Grade Triangles Subject
ERIC Educational Resources Information Center
Kaya, Deniz; Kesan, Cenk; Izgiol, Dilek
2013-01-01
In the study, it was researched the effect of internet-based application on student success. Internet-based application was used at the teaching of triangles subject which is included in 8th grade units of triangles and algebra. The study was carried out over the internet with a computer software program: Vitamin Program. The study was carried out…
Brief Science Performance Evaluation on 8th Grade Students
ERIC Educational Resources Information Center
Mocanu, Gabriela
2010-01-01
This paper aims to provide some statistics concerning the science performance of a group of 59 8th graders, studying in three different classes (may be regarded as different study groups). Eight science items were used, two from each content domain: chemistry, biology, mathematics and physics. These items were taken from the 2007 edition of the…
The Influence of Documentary Films on 8th Grade Students' Views about Nature of Science
ERIC Educational Resources Information Center
Seckin Kapucu, Munise; Cakmakci, Gultekin; Aydogdu, Cemil
2015-01-01
This quasi-experimental study aims to investigate the documentary films' influence on 8th grade students' nature of science views. The study's participants were 113 8th grade students from two different schools taught by two different teachers. The study was completed over a 6-week period, during which topics related to "Cell Division and…
Work Values of 5th, 8th, and 11th Grade Students
ERIC Educational Resources Information Center
Hales, Loyde W.; Fenner, Bradford
1972-01-01
Self Realization, Job Security, Money, and Altruism were found to be the most important work values, with 5th and 8th grade students differing from 11th grade students on Altruism and Self Realization. (Author)
Implementing Mapping the Beat in the 8th Grade
ERIC Educational Resources Information Center
Richardson, Ronald Craig
2010-01-01
This article is based on a doctoral dissertation study, "Expanding Geographic Understanding in Grade 8 Social Studies Classes through Integration of Geography, Music, and History: A QuasiExperimental Study" that took place in a high-achieving, suburban middle school in Southern California. The study compared learning as a result of nine…
Occupational Exploration at Ontario Junior High School: 8th Grade.
ERIC Educational Resources Information Center
Bates, Gene; And Others
The document contains 47 activities for Grade 8. The contents include the following areas: questionnaires; work vocabularies; employment seeking procedures--employment ads, application forms, resumes, job interviews, and resume preparation advice; a 24-page unit presenting occupational information in relation to career choice and job application…
Environmental Studies Center Teacher Books. 8th Grade - Beach Investigation.
ERIC Educational Resources Information Center
Martin County Schools, Jensen Beach, FL. Environmental Studies Center.
This teacher's guide, one of nine teacher packages developed for use in the sequential, hands-on, field-oriented, K-8 environmental education program of the Martin County Schools in Florida, was developed for use with secondary children in grade eight prior to and after a visit to an environmental studies center located near an estuarine area. The…
Curriculum Manual: 6th, 7th, 8th Grades.
ERIC Educational Resources Information Center
Snell, Ednell M.; Snapp, Betty Lou
This home economics curriculum for the middle school (grades 6-8) is designed to assist students in developing self-concept, making decisions, and developing basic skills. Written by a group of home economics teachers, this curriculum contains nine learning packages on the following topics: (1) consumer management; (2) decision management; (3)…
Ready to Go: Using the EXPLORE Test to Increase 8th Grade Readiness for Success
ERIC Educational Resources Information Center
Rochford, Joseph A.; O'Neill, Adrienne; Gelb, Adele
2010-01-01
During the 2009-10 academic year, 1,444 8th grade students in the Canton City, Plain and Marlington Local School Districts (hereafter called Stark students) took the EXPLORE Test as part of a pilot project, "Ready to Go: Increasing Eighth Grade Readiness," sponsored by the Stark Education Partnership with funding from the Ohio College Access…
ERIC Educational Resources Information Center
Yilmaz, Gül Kaleli; Koparan, Timur; Hanci, Alper
2016-01-01
In this study, it is aimed to determination of the relationship between learning styles and TIMSS mathematics achievements of eighth grade students. Correlational research design that is one of the quantitative research methods, was used in this study. The sample of the research consists of 652 8th grade students 347 are male and 305 are female…
Changes in Math Proficiency between 8th and 10th Grades. Statistics in Brief.
ERIC Educational Resources Information Center
Rock, Don; And Others
Between 8th and 10th grades, many students are asked to make curriculum-related decisions that may ultimately influence their achievement in core academic subjects such as mathematics. While past achievement often limits the level of courses available to a student, aspirations for postsecondary education ultimately determine the level of…
An Application of Cognitive Diagnostic Assessment on TIMMS-2007 8th Grade Mathematics Items
ERIC Educational Resources Information Center
Toker, Turker; Green, Kathy
2012-01-01
The least squares distance method (LSDM) was used in a cognitive diagnostic analysis of TIMSS (Trends in International Mathematics and Science Study) items administered to 4,498 8th-grade students from seven geographical regions of Turkey, extending analysis of attributes from content to process and skill attributes. Logit item positions were…
ERIC Educational Resources Information Center
Rabab'h, Belal; Veloo, Arsaythamby
2015-01-01
Jordanian 8th grade students revealed low achievement in mathematics through four periods (1999, 2003, 2007 & 2011) of Trends in International Mathematics and Science Study (TIMSS). This study aimed to determine whether spatial visualization mediates the affect of Mathematics Learning Strategies (MLS) factors namely mathematics attitude,…
The Effect on the 8th Grade Students' Attitude towards Statistics of Project Based Learning
ERIC Educational Resources Information Center
Koparan, Timur; Güven, Bülent
2014-01-01
This study investigates the effect of the project based learning approach on 8th grade students' attitude towards statistics. With this aim, an attitude scale towards statistics was developed. Quasi-experimental research model was used in this study. Following this model in the control group the traditional method was applied to teach statistics…
Bibliography of Research Support for K-8th Grade Inclusive Education
ERIC Educational Resources Information Center
National Center on Schoolwide Inclusive School Reform: The SWIFT Center, 2014
2014-01-01
Presented here are references to books, chapters, and peer-reviewed journal articles that provide evidence for improved student outcomes through inclusive education in elementary and middle schools (K-8th grades). Not included here are the broad evidence bases for each feature in the SWIFT framework.
Factors that Influence Mental Health Stigma among 8th Grade Adolescents
ERIC Educational Resources Information Center
Chandra, Anita; Minkovitz, Cynthia S.
2007-01-01
Unmet mental health need is a significant problem for adolescents. Although stigma is identified as a major barrier to the use of mental health services among youth, there is limited research on this topic. In-depth interviews (n = 57) among a sample of 8th grade students in a suburban, mid-Atlantic community portray adolescent mental health…
Measuring the Confidence of 8th Grade Taiwanese Students' Knowledge of Acids and Bases
ERIC Educational Resources Information Center
Jack, Brady Michael; Liu, Chia-Ju; Chiu, Houn-Lin; Tsai, Chun-Yen
2012-01-01
The present study investigated whether gender differences were present on the confidence judgments made by 8th grade Taiwanese students on the accuracy of their responses to acid-base test items. A total of 147 (76 male, 71 female) students provided item-specific confidence judgments during a test of their knowledge of acids and bases. Using the…
A Structural Equation Model Explaining 8th Grade Students' Mathematics Achievements
ERIC Educational Resources Information Center
Yurt, Eyüp; Sünbül, Ali Murat
2014-01-01
The purpose of this study is to investigate, via a model, the explanatory and predictive relationships among the following variables: Mathematical Problem Solving and Reasoning Skills, Sources of Mathematics Self-Efficacy, Spatial Ability, and Mathematics Achievements of Secondary School 8th Grade Students. The sample group of the study, itself…
NASA Astrophysics Data System (ADS)
Clifford, Betsey A.
The Massachusetts Department of Elementary and Secondary Education (DESE) released proposed Science and Technology/Engineering standards in 2013 outlining the concepts that should be taught at each grade level. Previously, standards were in grade spans and each district determined the method of implementation. There are two different methods used teaching middle school science: integrated and discipline-based. In the proposed standards, the Massachusetts DESE uses grade-by-grade standards using an integrated approach. It was not known if there is a statistically significant difference in student achievement on the 8th grade science MCAS assessment for students taught with an integrated or discipline-based approach. The results on the 8th grade science MCAS test from six public school districts from 2010 -- 2013 were collected and analyzed. The methodology used was quantitative. Results of an ANOVA showed that there was no statistically significant difference in overall student achievement between the two curriculum models. Furthermore, there was no statistically significant difference for the various domains: Earth and Space Science, Life Science, Physical Science, and Technology/Engineering. This information is useful for districts hesitant to make the change from a discipline-based approach to an integrated approach. More research should be conducted on this topic with a larger sample size to better support the results.
Aiming High and Falling Short: California's Eighth-Grade Algebra-for-All Effort
ERIC Educational Resources Information Center
Domina, Thurston; McEachin, Andrew; Penner, Andrew; Penner, Emily
2015-01-01
The United States is in the midst of an effort to intensify middle school mathematics curricula by enrolling more 8th graders in Algebra. California is at the forefront of this effort, and in 2008, the state moved to make Algebra the accountability benchmark test for 8th-grade mathematics. This article takes advantage of this unevenly implemented…
ERIC Educational Resources Information Center
Al-Hilawani, Yasser A.; And Others
This study explored teachers' behavior as related to effective teaching practices in 8th, 9th, and 10th grade English classrooms in Jordan. The study also examined some variables that could predict teachers' implementation of effective teaching practices and aimed at finding an estimate of the percentage of students in 8th, 9th, and 10th grades…
ERIC Educational Resources Information Center
Paik, Seoung-Hey; Kim, Hyo-Nam; Cho, Boo-Kyoung; Park, Jae-Won
2004-01-01
This study investigates the various conceptions held by K-8th Korean grade students regarding the 'changes of state' and the 'conditions for changes of state'. The study used a sample of five kindergarteners, five secondgrade students, five fourth-grade students, five sixth-grade students, and five eighth-grade students. The 25 students attend…
Outcomes of Placing Low Performing Eighth Grade Students in Algebra Content Courses
ERIC Educational Resources Information Center
Taylor, Donald Joseph
2011-01-01
In California, Algebra I is the 8th grade math content standard. The United States Department of Education found the annual 8th grade General Math California Standards Test to be out of compliance with the federal No Child Left Behind Act of 2001 since it assesses 6th and 7th grade math standards and not Algebra I math content. In response to the…
ERIC Educational Resources Information Center
Liang, Jian-Hua; Heckman, Paul E.; Abedi, Jamal
2012-01-01
In California, an increasing number of 8th graders have taken algebra courses since 2003. This study examines students' California Standards Test (CST) results in grades 7 through 11, aiming to reveal who took the CST for Algebra I in 8th grade and whether the increase has led to a rise in students' taking higher-level mathematics CSTs and an…
Examination of the 8th grade students' TIMSS mathematics success in terms of different variables
NASA Astrophysics Data System (ADS)
Kaleli-Yılmaz, Gül; Hanci, Alper
2016-07-01
The aim of this study is to determine how the TIMSS mathematics success of the 8th grade students differentiates according to the school type, gender, mathematics report mark, parents' education level, cognitive domains and cognitive domains by gender. Relational survey method was used in the study. Six-hundred fifty two 8th grade students studying in the same city in Turkey participated in this study. In this study, a 45 question test that was made up by choosing TIMSS 2011 mathematics questionnaire was used as a data collection tool. Quantitative data analysis methods were used in the data analysis, frequency, percentage, average, standard deviation, independent sample test, one-way analysis of variance and post-hoc tests were applied to data by using SPSS packaged software. At the end of the study, it was determined that the school type, mathematics school mark, parents' education level and cognitive domains influenced the students' TIMSS mathematics success but their gender was a neutral element. Moreover, it was seen that schools which are really successful in national exams are more successful in TIMSS exam; students whose mathematics school marks are 5 and whose parents graduated from university are more successful in TIMSS exams than others. This study was produced from Alper HANCİ's master thesis that is made consulting Asst. Prof. Gül KALELİ YILMAZ.
ERIC Educational Resources Information Center
Bursal, Murat
2013-01-01
This study investigated the change of the science academic achievement by grade level and gender where 222 elementary students' science and technology course scores between the 4th and 8th grades and science success percentages in 6th and 8th grades Level Determination Exam were longitudinally analyzed. Based on the findings of this study,…
ERIC Educational Resources Information Center
Schwartz, Kate; Cappella, Elise; Scott, Marc; Seidman, Edward; Kim, Ha Yeon
2015-01-01
The current study extends research on the transition to early adolescence and middle grade schools by examining students' achievement trajectories from school entry through 8th grade in a national sample, and beginning to disassociate the role of school context and school grade configuration in achievement trajectories. Data were drawn from the…
Charge It! Translating Electric Vehicle Research Results to Engage 7th and 8th Grade Girls
NASA Astrophysics Data System (ADS)
Egbue, Ona; Long, Suzanna; Ng, Ean-Harn
2015-10-01
Despite attempts to generate interest in science and technology careers, US students continue to show reduced interest in science, technology, engineering and mathematics (STEM) majors at the collegiate level. If girls are not engaged in STEM learning by the middle school level, studies show that they are even less likely to choose a science- or engineering-related major. This article presents results from a workshop for 7th and 8th grade girls designed to promote knowledge building in the area of sustainability and alternative energy use in transportation and to stimulate greater interest in STEM subjects. The workshop based on research conducted at University X focused on basic concepts of electric vehicles and electric vehicles' batteries. Tests were conducted to evaluate the students' knowledge and perceptions of electric vehicles and to determine the impact of the workshop. Early exposure to meaningful engineering experiences for these young girls may boost interest and the eventual pursuit of engineering and technology education paths.
ERIC Educational Resources Information Center
Instructional Objectives Exchange, Los Angeles, CA.
A complete set of behavioral objectives for first-year algebra taught in any of grades 8 through 12 is presented. Three to six sample test items and answers are provided for each objective. Objectives were determined by surveying the most used secondary school algebra textbooks. Fourteen major categories are included: (1) whole numbers--operations…
ERIC Educational Resources Information Center
Ersen Yanik, Asli
2008-01-01
This study aims to investigate how the teachers who have different background characteristics perceive the goals and content of the English language curriculum implemented at the 6th, 7th and 8th grades of public primary schools. The study was conducted during the 2004-2005 school year with 368 English teachers selected from the seven regions of…
ERIC Educational Resources Information Center
Korakakis, G.; Pavlatou, E. A.; Palyvos, J. A.; Spyrellis, N.
2009-01-01
This research aims to determine whether the use of specific types of visualization (3D illustration, 3D animation, and interactive 3D animation) combined with narration and text, contributes to the learning process of 13- and 14- years-old students in science courses. The study was carried out with 212 8th grade students in Greece. This…
ERIC Educational Resources Information Center
Nam, Younkyeong; Karahan, Engin; Roehrig, Gillian
2016-01-01
Geologic time scale is a very important concept for understanding long-term earth system events such as climate change. This study examines forty-three 4th-8th grade Native American--particularly Ojibwe tribe--students' understanding of relative ordering and absolute time of Earth's significant geological and biological events. This study also…
K-8th grade Korean students' conceptions of 'changes of state' and 'conditions for changes of state'
NASA Astrophysics Data System (ADS)
Paik, Seoung-Hey; Kim, Hyo-Nam; Cho, Boo-Kyoung; Park, Jae-Won
2004-02-01
This study investigates the various conceptions held by K-8th Korean grade students regarding the 'changes of state' and the 'conditions for changes of state'. The study used a sample of five kindergarteners, five secondgrade students, five fourth-grade students, five sixth-grade students, and five eighth-grade students. The 25 students attend schools in a rural district of South Korea. Some activities that involved a change in the state of water, including condensation, solidification, and melting, were chosen from K-8th grade science textbooks and attempted by the students. Subsequently, we conducted interviews with the students. While most kindergarteners and second-grade students were able to perceive the phenomena involving changes of state, they were unable to express conceptions related to the changes of state and the conditions under which the state the changes. The upper-grade students, on the other hand, had some conception of the invisible gas state. Most of these students held conceptions about the boiling water's change of state from liquid to gas, but few of them held conceptions about the changes of state involving condensation. Most students understood heat and temperature as conditions of the changes of state, but only applied the heat concept to situations involving rising temperatures. In situations involving cooling, students applied the temperature concept. The younger students understood the concept of heat without understanding the concept of temperature.
Otto, D A; Skalik, I; House, D E; Hudnell, H K
1996-01-01
The Neurobehavioral Evaluation System was designed for field studies of workers, but many NES tests can be performed satisfactorily by children as young as 7 or 8 years old and a few tests, such as simple reaction time, can be performed by preschool children. However, little comparative data from children of different ages or grade levels are available. Studies of school children in the Czech Republic indicate that 2nd-grade children could perform the following NES tests satisfactorily: Finger Tapping, Visual Digit Span. Continuous Performance, Symbol-Digit Substitution, Pattern Comparison, and simpler conditions of Switching Attention. Comparative scores of boys and girls from the 2nd, 4th, and 8th grades and power analyses to estimate appropriate sample size were presented. Performance varied systematically with grade level and gender. Larger samples were needed with younger children to achieve comparable levels of statistical power. Gender comparisons indicated that boys responded faster, but made more errors than girls. PMID:8866533
ERIC Educational Resources Information Center
Clifford, Betsey A.
2016-01-01
The Massachusetts Department of Elementary and Secondary Education (DESE) released proposed Science and Technology/Engineering standards in 2013 outlining the concepts that should be taught at each grade level. Previously, standards were in grade spans and each district determined the method of implementation. There are two different methods used…
Executive Summary of Achievement in Basic Skills: 4th/8th Grade, Public and Parochial Schools.
ERIC Educational Resources Information Center
Bassis, Michael; And Others
This study addresses two questions: (1) Why do fourth grade students in Rhode Island perform better on the Iowa Tests of Basic Skills (ITBS) than eighth grade students?, and (2) Why do Rhode Island parochial students perform better on the ITBS than public school students? The examination of both questions focused on three areas: school setting…
Home Economics for 7th and 8th Grade Boys and Girls. Final Report.
ERIC Educational Resources Information Center
East Stroudsburg Area School District, PA.
Adapted to meet local needs and goals, this curriculum guide for grades 7 and 8 is designed to help develop behaviors and skills to use in solving family-life problems. The guide consists of a course outline and separate lessons for both grades, grouped according to the major topics of human development and the family, home management and consumer…
Solar Energy. 7th and 8th Grade Agriculture Science Curriculum. Teacher Materials.
ERIC Educational Resources Information Center
Southern Illinois Univ., Carbondale. Dept. of Agricultural Education and Mechanization.
This curriculum guide, the third in a set of six, contains teacher and student materials for a unit on solar energy prepared as part of a seventh- and eighth-grade agricultural science curriculum that is integrated with science instruction. The guide contains the state goals and sample learning objectives for each goal for students in grades 8-10…
Finite-dimensional simple graded algebras
Bahturin, Yu A; Zaicev, M V; Sehgal, S K
2008-08-31
Let R be a finite-dimensional algebra over an algebraically closed field F graded by an arbitrary group G. In the paper it is proved that if the characteristic of F is zero or does not divide the order of any finite subgroup of G, then R is graded simple if and only if it is isomorphic to a matrix algebra over a finite-dimensional graded skew field. Bibliography: 24 titles.
Mechanical Advantage. 7th and 8th Grade Agriculture Science Curriculum. Teacher Materials.
ERIC Educational Resources Information Center
Southern Illinois Univ., Carbondale. Dept. of Agricultural Education and Mechanization.
This curriculum guide, the fourth in a set of six, contains teacher and student materials for a unit on mechanical engineering prepared as part of a seventh- and eighth-grade agricultural science curriculum that is integrated with science instruction. The guide contains the state goals and sample learning objectives for each goal for students in…
The Impact of Direct Reading Instructional Strategies on Reading Achievement in 8th Grade Students
ERIC Educational Resources Information Center
Rider, Lynne Marie
2010-01-01
According to the National Assessment of Educational Progress, about 60% of students cannot read proficiently at their current grade level. Findings from the National Reading Panel (NRP) indicate that there is not sufficient research on the topic of struggling middle school readers. The purpose of this quantitative study was to examine the impact…
Electrical Energy. 7th and 8th Grade Agriculture Science Curriculum. Teacher Materials.
ERIC Educational Resources Information Center
Southern Illinois Univ., Carbondale. Dept. of Agricultural Education and Mechanization.
This curriculum guide, the fifth in a set of six, contains teacher and student materials for a unit on electrical energy prepared as part of a seventh- and eighth-grade agricultural science curriculum that is integrated with science instruction. The guide contains the state goals and sample learning objectives for each goal for students in grades…
ERIC Educational Resources Information Center
North Dakota State Board for Vocational Education, Bismarck. Research Coordinating Unit.
The guideline presents two 12-week courses involving an interdisciplinary, partly coeducational, prevocational career exploration program in consumer and homemaking and industrial arts at the eighth grade level, and also a supplementary mathematics program. It is designed to give students an opportunity to explore occupations for themselves and to…
Electromagnetic Spectrum. 7th and 8th Grade Agriculture Science Curriculum. Teacher Materials.
ERIC Educational Resources Information Center
Southern Illinois Univ., Carbondale. Dept. of Agricultural Education and Mechanization.
This curriculum guide, the second in a set of six, contains teacher and student materials for a unit on the electromagnetic spectrum prepared as part of a seventh- and eighth-grade agricultural science curriculum that is integrated with science instruction. The guide contains the state goals and sample learning objectives for each goal for…
Lessons for Algebraic Thinking. Grades K-2.
ERIC Educational Resources Information Center
von Rotz, Leyani; Burns, Marilyn
Algebra is one of the top priorities of mathematics instruction for the elementary and middle grades. This book is designed to help K-2 teachers meet the challenge of making algebra an integral part of their mathematics instruction and realize both what to teach and how to teach central algebraic concepts. Classroom-tested lessons help teachers…
ERIC Educational Resources Information Center
Bunrasi, John Bosco Tuptip
2012-01-01
The purpose of this study was to examine constructivist-based algebra lessons and a cooperative construct to address the achievement gap between White (non-Hispanic) and Mexican American 8th grade students at a southern California middle school. The lessons were designed to facilitate social interdependence which promoted peer-to-peer interaction…
NASA Astrophysics Data System (ADS)
Wagner, Judson
Today's technology driven global economy has put pressure on the American education system to produce more students who are prepared for careers in Science, Technology, Engineering, and Math (STEM). Adding to this pressure is the demand for a more diverse workforce that can stimulate the development of new ideas and innovation. This in turn requires more female and under represented minority groups to pursue future careers in STEM. Though STEM careers include many of the highest paid professionals, school systems are dealing with exceptionally high numbers of students, especially female and under represented minorities, who begin but do not persist to STEM degree completion. Using the Expectancy-Value Theory (EVT) framework that attributes student motivation to a combination of intrinsic, utility, and attainment values, this study analyzed readily available survey data to gauge students' career related values. These values were indirectly investigated through a longitudinal approach, spanning five years, on the predictive nature of 8 th grade survey-derived recommendations for students to pursue a future in a particular career cluster. Using logistic regression analysis, it was determined that this 8 th grade data, particularly in STEM, provides significantly high probabilities of a 12th grader's average grade, SAT-Math score, the math and science elective courses they take, and most importantly, interest in the same career cluster.
ERIC Educational Resources Information Center
Qarareh, Ahmed O.
2016-01-01
The study aims to investigate the effect of using constructivist learning model in teaching science, especially in the subject of light: its nature, mirrors, lens, and properties, on the achievement of eighth-grade students and their scientific thinking. The study sample consisted of (136) male and female 8th graders were chosen from two basic…
ERIC Educational Resources Information Center
Martin, Bruce; Bright, Alan; Cafaro, Philip; Mittelstaedt, Robin; Bruyere, Brett
2009-01-01
This study attempted to assess the development of environmental virtue in 7th and 8th grade students in an Expeditionary Learning Outward Bound (ELOB) school using an instrument developed for this study--the Children's Environmental Virtue Scale (CEVS). Data for this study were obtained by administering the CEVS survey (pretest and posttest) to…
ERIC Educational Resources Information Center
Brody, Michael J.; Koch, Helmut
In an effort to contribute information for science teachers and curriculum developers in Maine, this study generated base line data on 4th, 8th, and 11th grade students' knowledge of marine science and natural resources principles in relation to the Gulf of Maine. Five concept maps representing 15 major content principles were developed. Two…
ERIC Educational Resources Information Center
Ozer, Eren; Sezer, Renan
2014-01-01
This study offers a comparative analysis of questions found in Turkish, Singaporean, and American mathematics textbooks and workbooks based on topics covered in the 8th grade mathematics curriculum in Turkey. To this end, the study utilizes the 3-dimensional framework developed by Li. When the questions in the textbooks and workbooks…
ERIC Educational Resources Information Center
Bozdogan, Aykut Emre; Uzoglu, Mustafa
2015-01-01
The aim of this study is to explore the problems encountered while teaching force and motion unit in 8th grade science and technology course from teachers' perspectives and offer solutions to eliminate these problems. The study was conducted with 248 science and technology teachers working in 7 regions in Turkey in 2012-2013 academic year.…
NASA Astrophysics Data System (ADS)
Berube, Clair Thompson
2001-07-01
Studies conducted nationwide over the past several decades point consistently to the evidence that American school children lag behind several other countries in science scores. Problems arise from this dilemma, including the question of the ability of our youngsters to compete nationally and globally in the sciences as adults. Current research in this area of scores currently studies mostly mathematics. The few studies conducted concerning science mainly highlight students in other countries and neglects minorities and females regarding outcomes. By contrast, this study investigated the effects of teacher types (also defined as teaching styles or classroom orientation) on student outcomes on two measures; the standardized Standards of Learning 8th grade science test for the state of Virginia, and the Higher-Order Skills test (Berube, 2001), which was a researcher-constricted comprehension measurement. Minority and gender interactions were analyzed as well. Teacher type was designated by using the Constructivist Learning Environment Survey (Taylor & Fraser, 1991). Participants included students from five large urban middle schools and thirteen middle school science teachers. Scores from the two measures were used to determine differences in student outcomes as they pertained to teacher type, gender and ethnicity. Analysis indicated that students who were taught by teachers with more traditional and mixed teaching styles performed better on the Higher-Order Skills comprehension measurement, while teachers with constructivist teaching styles actually had the lowest scoring students. Also, the interaction of ethnicity and teacher type was significant, indicating that Higher-Order Skills scores were influenced by that interaction, with Caucasians scoring the highest when taught by teachers with mixed teaching styles. Such findings could profit school administrators considering the interaction of student achievement and teaching styles on high-stakes testing
NASA Astrophysics Data System (ADS)
Roue, Leah Christine
This research study compared gender and grade level differences in divergent thinking among middle school and high school students in the Midwest, in an attempt to determine whether gender or grade level-based differences exist in divergent thinking. The instrument used was based on the Wallach and Kogan Creativity Test (WKCT). There were 166 public school students in the study from the 8th and 11th grades. The results were analyzed in an effort to answer two research questions: Are there gender differences in fluency, flexibility, or originality of a response? Are there grade level (age) differences in fluency, flexibility, or originality of a response? Quantitative and qualitative reporting is used.
NASA Astrophysics Data System (ADS)
McCammon, William Gavin Lodge, Jr.
Teachers should have access to new and innovative tools in order to engage and motivate their students in the classroom. This is especially important as many students view school as an antiquated and dull environment - which they must seemingly suffer through to advance. School need not be a dreaded environment. The use of music as a tool for learning can be employed by any teacher to create an engaging and exciting atmosphere where students actively participate and learn to value their classroom experience. Through this study, a product and process was developed that is now available for any 8th grade science teacher interested in using music to enhance their content. In this study 8th grade students (n=41) in a public school classroom actively interacted with modern songs created to enhance the teaching of chemistry. Data were collected and analyzed in order to determine the effects that the music treatment had on student achievement and motivation, compared to a control group (n=35). Current literature provides a foundation for the benefits for music listening and training, but academic research in the area of using music as a tool for teaching content was noticeably absent. This study identifies a new area of research called "Music-based Teaching" which results in increases in motivation for 8th grade students learning chemistry. The unintended results of the study are additionally significant as the teacher conducting the treatment experienced newfound enthusiasm, passion, and excitement for her profession.
ERIC Educational Resources Information Center
Kim-O, Mee-Ae Mia
2011-01-01
Mathematics is an increasingly important aspect of education because of its central role in technology (Kuenzi, 2008). Mathematical achievement tests are universally applied throughout schooling in the US to assess yearly progress. The middle school years (e.g., Grade 6-Grade 8) are especially crucial to success in mathematics because students…
Fast food consumption and food prices: evidence from panel data on 5th and 8th grade children.
Khan, Tamkeen; Powell, Lisa M; Wada, Roy
2012-01-01
Fast food consumption is a dietary factor associated with higher prevalence of childhood obesity in the United States. The association between food prices and consumption of fast food among 5th and 8th graders was examined using individual-level random effects models utilizing consumption data from the Early Childhood Longitudinal Study, Kindergarten Class of 1998-99 (ECLS-K), price data from American Chamber of Commerce Researchers Association (ACCRA), and contextual outlet density data from Dun and Bradstreet (D&B). The results found that contextual factors including the price of fast food, median household income, and fast food restaurant outlet densities were significantly associated with fast food consumption patterns among this age group. Overall, a 10% increase in the price of fast food was associated with 5.7% lower frequency of weekly fast food consumption. These results suggest that public health policy pricing instruments such as taxes may be effective in reducing consumption of energy-dense foods and possibly reducing the prevalence of overweight and obesity among US children and young adolescents. PMID:22292115
Fast Food Consumption and Food Prices: Evidence from Panel Data on 5th and 8th Grade Children
Khan, Tamkeen; Powell, Lisa M.; Wada, Roy
2012-01-01
Fast food consumption is a dietary factor associated with higher prevalence of childhood obesity in the United States. The association between food prices and consumption of fast food among 5th and 8th graders was examined using individual-level random effects models utilizing consumption data from the Early Childhood Longitudinal Study, Kindergarten Class of 1998-99 (ECLS-K), price data from American Chamber of Commerce Researchers Association (ACCRA), and contextual outlet density data from Dun and Bradstreet (D&B). The results found that contextual factors including the price of fast food, median household income, and fast food restaurant outlet densities were significantly associated with fast food consumption patterns among this age group. Overall, a 10% increase in the price of fast food was associated with 5.7% lower frequency of weekly fast food consumption. These results suggest that public health policy pricing instruments such as taxes may be effective in reducing consumption of energy-dense foods and possibly reducing the prevalence of overweight and obesity among US children and young adolescents. PMID:22292115
ERIC Educational Resources Information Center
United Nations Educational, Scientific, and Cultural Organization, Paris (France). Intergovernmental Oceanographic Commission.
The student textbook is designed for grades 5-8 and explores various earth science topics. A cartoon character named Tommy Tsumi explores earth facts and concepts throughout the text. Activities, materials, and learning objectives for each unit in the textbook are presented in the teacher's guide. Units in both books include: (1) "The Outside of…
ERIC Educational Resources Information Center
Çakirer, H. Serdar
2014-01-01
The aim of the present study is to compare the values in the songs of 5th, 6th, 7th and 8th grade primary education music classes students? workbooks according to the value categorizations proposed by Rockeach and Akbas and which values among the categories mentioned are taught to the students in the 5th, 6th, 7th and 8th grade primary education…
ERIC Educational Resources Information Center
Kemp, Louie E., Comp.
The four learning packages for exploratory career education are designed for use at the seventh and eighth grade levels. Each unit includes coordinated teacher and student editions. The units are: Culinary Cubs, focusing on occupations in the areas of food management, production, and services, with special reference to dietitians; Mini Nursery,…
ERIC Educational Resources Information Center
WALDO, LESLIE C.; WALLIN, PAUL
AN EXPLANATION OF DIFFERENCES AMONG EIGHTH GRADE BOYS AND GIRLS IN REGARD TO THEIR LEVEL OF EDUCATIONAL ASPIRATION AND THEIR ADJUSTMENT IN THE SCHOOL SITUATION WAS PRESENTED. THE STUDENTS STUDIED ATTENDED SEVEN DIFFERENT JUNIOR HIGH SCHOOLS. FOUR OF THE SCHOOLS WERE PREDOMINANTLY COMPOSED OF CHILDREN FROM MIDDLE-CLASS FAMILIES, AND THREE, OF…
Lessons for Algebraic Thinking. Grades 3-5.
ERIC Educational Resources Information Center
Wickett, Maryann; Kharas, Katharine; Burns, Marilyn
Algebra is one of the top priorities of mathematics instruction for the elementary and middle grades. This book is designed to help 3-5 teachers meet the challenge of making algebra an integral part of their mathematics instruction and realize both what to teach and how to teach central algebraic concepts. Classroom-tested lessons help teachers…
Lessons for Algebraic Thinking. Grades 6-8.
ERIC Educational Resources Information Center
Lawrence, Ann; Hennessy, Charlie
Algebra is one of the top priorities of mathematics instruction for the elementary and middle grades. This book is designed to help 6-8 teachers meet the challenge of making algebra an integral part of their mathematics instruction and realize both what to teach and how to teach central algebraic concepts. Classroom-tested lessons help teachers…
Infinitesimal deformations of naturally graded filiform Leibniz algebras
NASA Astrophysics Data System (ADS)
Khudoyberdiyev, A. Kh.; Omirov, B. A.
2014-12-01
In the present paper we describe infinitesimal deformations of complex naturally graded filiform Leibniz algebras. It is known that any n-dimensional filiform Lie algebra can be obtained by a linear integrable deformation of the naturally graded algebra Fn3(0) . We establish that in the same way any n-dimensional filiform Leibniz algebra can be obtained by an infinitesimal deformation of the filiform Leibniz algebras Fn1,Fn2and Fn3(α) . Moreover, we describe the linear integrable deformations of the above-mentioned algebras with a fixed basis of HL2 in the set of all n-dimensional Leibniz algebras. Among these deformations one new rigid algebra has been found.
Harness, Susan D.; Swaim, Randall C.; Beauvais, Fred
2014-01-01
Objectives Understanding the similarities and differences between substance use rates for American Indian (AI) young people and young people nationally can better inform prevention and treatment efforts. We compared substance use rates for a large sample of AI students living on or near reservations for the years 2009–2012 with national prevalence rates from Monitoring the Future (MTF). Methods We identified and sampled schools on or near AI reservations by region; 1,399 students in sampled schools were administered the American Drug and Alcohol Survey. We computed lifetime, annual, and last-month prevalence measures by grade and compared them with MTF results for the same time period. Results Prevalence rates for AI students were significantly higher than national rates for nearly all substances, especially for 8th graders. Rates of marijuana use were very high, with lifetime use higher than 50% for all grade groups. Other findings of interest included higher binge drinking rates and OxyContin® use for AI students. Conclusions The results from this study demonstrate that adolescent substance use is still a major problem among reservation-based AI adolescent students, especially 8th graders, where prevalence rates were sometimes dramatically higher than MTF rates. Given the high rates of substance use-related problems on reservations, such as academic failure, delinquency, violent criminal behavior, suicidality, and alcohol-related mortality, the costs to members of this population and to society will continue to be much too high until a comprehensive understanding of the root causes of substance use are established. PMID:24587550
C-Graded vertex algebras and conformal flow
Laber, Rob; Mason, Geoffrey
2014-01-15
We consider C-graded vertex algebras, which are vertex algebras V with a C-grading such that V is an admissible V-module generated by “lowest weight vectors.” We show that such vertex algebras have a “good” representation theory in the sense that there is a Zhu algebra A(V) and a bijection between simple admissible V-modules and simple A(V)-modules. We also consider pseudo vertex operator algebras (PVOAs), which are C-graded vertex algebras with a conformal vector such that the homogeneous subspaces of V are generalized eigenspaces for L(0); essentially, these are VOAs that lack any semisimplicity or integrality assumptions on L(0). As a motivating example, we show that deformation of the conformal structure (conformal flow) of a strongly regular VOA (e.g., a lattice theory, or Wess-Zumino-Witten model) is a path in a space whose points are PVOAs.
ERIC Educational Resources Information Center
Cavanagh, Sean
2008-01-01
A popular humorist and avowed mathphobe once declared that in real life, there's no such thing as algebra. Kathie Wilson knows better. Most of the students in her 8th grade class will be thrust into algebra, the definitive course that heralds the beginning of high school mathematics, next school year. The problem: Many of them are about three…
Curricular Pathways to Algebra I in Eighth Grade
ERIC Educational Resources Information Center
Griffin, Melinda Rose
2014-01-01
Nationwide, schools are pushing for more students to take Algebra I in eighth grade, prior to formally entering high school. The algebra-for-all movement has been intended to alleviate equity issues which held minority and low-income students back from entering a college-preparatory path in high school. Students with the needed content,…
Some "Big Ideas" of Algebra in the Middle Grades.
ERIC Educational Resources Information Center
Edwards, Thomas G.
2000-01-01
Identifies big ideas for the informal study of algebra-related topics in the middle grades including notation, variable, function, and properties of number. Suggests meaningful ways to accomplish them. (YDS)
The Aftermath of Accelerating Algebra: Evidence from District Policy Initiatives
ERIC Educational Resources Information Center
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…
ERIC Educational Resources Information Center
Karademir, Yavuz; Demir, Selcuk Besir
2015-01-01
The aim of this study is to ascertain the problems social studies teachers face in the teaching of topics covered in 8th grade TRHRK Course. The study was conducted in line with explanatory sequential mixed method design, which is one of the mixed research method, was used. The study involves three phases. In the first step, exploratory process…
NASA Astrophysics Data System (ADS)
Danch, J. M.
2015-12-01
In 2010 a group of 8th grade geoscience students participated in an extracurricular activity allowing them to conduct original scientific research while being mentored by students enrolled in a 3 - year high school Science Research program. Upon entering high school the mentored students themselves enrolled in the Science Research program and continued for 4 years, culminating with their participation in Science Research 4. This allowed them to continue conducting original scientific research, act as mentors to 8th grade geoscience students and to provide teacher training for both middle and high school teachers conducting inquiry-based science lessons. Of the 7 Science Research 4 students participating since 2010, 100% plan on majoring or minoring in a STEM - related field in college and their individual research projects have been been granted over 70 different awards and honors in science fair and symposia including a 3rd and 4th place category awards at two different international science fairs - the International Sustainable Energy Engineering and Environment Project (iSWEEP) and the International Science and Engineering Fair (ISEF). Science Research 4 students developed and conducted a Society for Science and the Public affiliated science fair for middle school students enrolled in an 8th grade honors geoscience program allowing over 100 students from 5 middle schools to present their research and be judged by STEM professionals. Students with research judged in the top 10% were nominated for participation in the National Broadcom MASTERS program which they successfully entered upon further mentoring from the Science Research 4 students. 8th grade enrollment in the Science Research program for 2015 increased by almost 50% with feedback from students, parents and teachers indicating that the mentorship and participation in the 8th grade science fair were factors in increasing interest in continuing authentic scientific research in high school.
A Cohomology Theory of Grading-Restricted Vertex Algebras
NASA Astrophysics Data System (ADS)
Huang, Yi-Zhi
2014-04-01
We introduce a cohomology theory of grading-restricted vertex algebras. To construct the correct cohomologies, we consider linear maps from tensor powers of a grading-restricted vertex algebra to "rational functions valued in the algebraic completion of a module for the algebra," instead of linear maps from tensor powers of the algebra to a module for the algebra. One subtle complication arising from such functions is that we have to carefully address the issue of convergence when we compose these linear maps with vertex operators. In particular, for each , we have an inverse system of nth cohomologies and an additional nth cohomology of a grading-restricted vertex algebra V with coefficients in a V-module W such that is isomorphic to the inverse limit of the inverse system . In the case of n = 2, there is an additional second cohomology denoted by which will be shown in a sequel to the present paper to correspond to what we call square-zero extensions of V and to first order deformations of V when W = V.
Eighth Grade Algebra Course Placement and Student Motivation for Mathematics
Simzar, Rahila M.; Domina, Thurston; Tran, Cathy
2016-01-01
This study uses student panel data to examine the association between Algebra placement and student motivation for mathematics. Changes in achievement goals, expectancy, and task value for students in eighth grade Algebra are compared with those of peers placed in lower-level mathematics courses (N = 3,306). In our sample, students placed in Algebra reported an increase in performance-avoidance goals as well as decreases in academic self-efficacy and task value. These relations were attenuated for students who had high mathematics achievement prior to Algebra placement. Whereas all students reported an overall decline in performance-approach goals over the course of eighth grade, previously high-achieving students reported an increase in these goals. Lastly, previously high-achieving students reported an increase in mastery goals. These findings suggest that while previously high-achieving students may benefit motivationally from eighth grade Algebra placement, placing previously average- and low-performing students in Algebra can potentially undermine their motivation for mathematics. PMID:26942210
Low Performers Found Unready to Take Algebra
ERIC Educational Resources Information Center
Cavanagh, Sean
2008-01-01
As state and school leaders across the country push to have more students take algebra in 8th grade, a new study argues that middle schoolers struggling the most in math are being enrolled in that course despite being woefully unprepared. "The Misplaced Math Student: Lost in Eighth Grade Algebra," scheduled for release by the Brookings Institution…
Race and Teacher Evaluations as Predictors of Algebra Placement
ERIC Educational Resources Information Center
Faulkner, Valerie N.; Stiff, Lee V.; Marshall, Patricia L.; Nietfeld, John; Crossland, Cathy L.
2014-01-01
This study is a longitudinal look at the different mathematics placement profiles of Black students and White students from late elementary school through 8th grade. Results revealed that Black students had reduced odds of being placed in algebra by the time they entered 8th grade even after controlling for performance in mathematics. An important…
NASA Astrophysics Data System (ADS)
Bruner, Justin L.
Focusing on science from a cross-country perspective, this study explores the relationship between 8th grade science achievement and student, teacher, and school characteristics. More specifically, this study will pay special attention to low socio-economic status (SES) students and seek to understand why some disadvantaged students are able to have higher than expected achievement in science given their SES while other disadvantaged students are not able to achieve beyond what would be expected given their background. This study will explore the multi-level relationship between the characteristics of students, their teachers, their schools, and student achievement in science. While looking at students in classrooms and in schools, this work will create as precise as possible a measure of student SES by drawing on recommendations of an expert panel commissioned by the National Association of Educational Progress (NAEP) study. The study uses the most recent cycle (2011) of the Trends in International Math and Science Study (TIMSS), to strategically select a six-country sample from the 45 participating countries. This six-country sample was selected by using the country level achievement and the standard deviation of that achievement. This will create a sample that has a range of equality in achievement and strength in achievement. This allows for making comparisons both across and within countries to better understand variations in the factors of student performance, especially for disadvantaged students. This paper builds on the existing research around socio-economic status (SES) and achievement by exploring in more detail the conditions in schools and classrooms around the world that might magnify or reduce the effect of SES on student achievement. The analysis looks at these questions: "What conditions help low SES students achieve higher than what would be expected given their SES?" and "What conditions hinder low SES students to achieve at or below what would
The Differential Graded Odd NilHecke Algebra
NASA Astrophysics Data System (ADS)
Ellis, Alexander P.; Qi, You
2016-05-01
We equip the odd nilHecke algebra and its associated thick calculus category with diagrammatically local differentials. The resulting differential graded Grothendieck groups are isomorphic to two different forms of the positive part of quantum {{{sl}_2}} at a fourth root of unity.
(I,q)-graded Lie algebraic extensions of the Poincaré algebra, constraints on I and q
NASA Astrophysics Data System (ADS)
Wills Toro, Luis Alberto
1995-04-01
The constraints on the index set I and on the function q of the (I,q)-graded Lie algebras over K containing the Poincaré Lie algebra are studied. By using the single-grading model, particular choices for I and q consistent with the found constraints are determined for K=C. Gradings are then found for which I⊆I=Z2×(Z4N×Z4N)×Gre, with N∈N and Gre an Abelian group. These gradings provide a way for algebraic extensions of the Poincaré Lie algebra beyond the Z2-gradings of supersymmetry and supergravity. In these algebraic extensions, each other commuting space-time parameter can either commute or anticommute with the further parameters of the (I,q)-graded (super) manifold. Different field representations can have—with each other—generalized commutative behavior beyond commutativity and anticommutativity.
ERIC Educational Resources Information Center
O'Hanlon, Angela L.
2011-01-01
The purpose of the study was to determine the effect of pacing and scheduling of algebra coursework on assigned 9th-grade students who traditionally would qualify for pre-algebra instruction and same course 9th-grade students who traditionally would qualify for standard algebra instruction. Students were selected based on completion of first-year…
Ternary Z3 -graded generalization of Heisenberg's algebra
NASA Astrophysics Data System (ADS)
Kerner, Richard
2015-04-01
We investigate a ternary, Z3-graded generalization of the Heisenberg algebra. It turns out that introducing a non-trivial cubic root of unity, j = e 2πi/3, one can define two types of creation operators instead of one, accompanying the usual annihilation operator. The two creation operators are non-hermitian, but they are mutually conjugate. Together, the three operators form a ternary algebra, and some of their cubic combinations generate the usual Heisenberg algebra. A cubic analogue of Hamiltonian operator is constructed by analogy with the usual harmonic oscillator. A set of eigenstates in coordinate representation is constructed in terms of functions satisfying linear differential equation of third order.
ERIC Educational Resources Information Center
Roue, Leah Christine
2011-01-01
This research study compared gender and grade level differences in divergent thinking among middle school and high school students in the Midwest, in an attempt to determine whether gender or grade level-based differences exist in divergent thinking. The instrument used was based on the Wallach and Kogan Creativity Test (WKCT). There were 166…
Calif. Laws Shift Gears on Algebra, Textbooks
ERIC Educational Resources Information Center
Robelen, Erik W.
2012-01-01
New laws in California have set the state on a course for some potentially significant changes to the curriculum, including a measure that revisits the matter of teaching Algebra 1 in 8th grade and another that revamps the state's textbook-adoption process and hands districts greater leeway in choosing instructional materials. The algebra-related…
ERIC Educational Resources Information Center
Witty, Emily Amie
2012-01-01
Gender differences in mathematics have been of particular interest over the past decades. Research has shown a disparity in mathematical proficiency between boys and girls depending on the area of mathematics tested, the age and grade of the student, and the structure of the test question (i.e., how the question is posed). Although, much of the…
ERIC Educational Resources Information Center
Brody, Michael J.
1996-01-01
Assesses the understanding that a sample of Oregon public school students (n=159) had of geology, physical and chemical characteristics, ecology, and natural resources as related to a marine environment. Results indicate that student understanding in some areas does not progress beyond the early grades and that the interdisciplinary approach of…
ERIC Educational Resources Information Center
Midgette, Ekaterina; Haria, Priti
2016-01-01
The purpose of the study was to investigate the effects of two comprehensive argumentative writing interventions--Text Structure Instruction (TSI) and Text Structure Revision Instruction (TSRI)--on the eighth-grade students' ability to compose convincing essays that include structural elements of argumentative discourse. Both treatment groups…
ERIC Educational Resources Information Center
Harness, Karen
This eighth grade lesson plan asks students to work in groups of four. They must: (1) decide whether to join the Union Army or the Confederate Army; (2) decide under which General they will serve and in which battles they will fight; and (3) once this decision has been made, assign the following roles for team or group members: photographer,…
Hoelscher, Deanna M; Kelder, Steven H; Pérez, Adriana; Day, R Sue; Benoit, Julia S; Frankowski, Ralph F; Walker, Joey L; Lee, Eun S
2010-07-01
Although national and state estimates of child obesity are available, data at these levels are insufficient to monitor effects of local obesity prevention initiatives. The purpose of this study was to examine regional changes in the prevalence of obesity due to statewide policies and programs among children in grades 4, 8, and 11 in Texas Health Services Regions (HSRs) between 2000-2002 and 2004-2005, and nine selected counties in 2004-2005. A cross-sectional, probability-based sample of 23,190 Texas students in grades 4, 8, and 11 were weighed and measured to obtain BMI. Obesity was >95th percentile for BMI by age/sex using Centers for Disease Control and Prevention growth charts. Child obesity prevalence significantly decreased between 2000-2002 and 2004-2005 for 4th grade students in the El Paso HSR (-7.0%, P = 0.005). A leveling off in the prevalence of obesity was noted for all other regions for grades 4, 8, and 11. County-level data supported the statistically significant decreases noted in the El Paso region. The reduction of child obesity levels observed in the El Paso area is one of the few examples of effective programs and policies based on a population-wide survey: in this region, a local foundation funded extensive regional implementation of community programs for obesity prevention, including an evidence-based elementary school-based health promotion program, adult nutrition and physical activity programs, and a radio and television advertising campaign. Results emphasize the need for sustained school, community, and policy efforts, and that these efforts can result in decreases in child obesity at the population level. PMID:19798066
ERIC Educational Resources Information Center
Blanton, Maria; Stephens, Ana; Knuth, Eric; Gardiner, Angela Murphy; Isler, Isil; Kim, Jee-Seon
2015-01-01
This article reports results from a study investigating the impact of a sustained, comprehensive early algebra intervention in third grade. Participants included 106 students; 39 received the early algebra intervention, and 67 received their district's regularly planned mathematics instruction. We share and discuss students' responses to…
2011-01-01
Background Violence by young people is one of the most visible forms of violence and contributes greatly to the global burden of premature death, injury and disability. Methods The Global School-based Student Health Survey (GSHS), State of Lara, Venezuela (GSHS-Lara) is a school-based surveillance system. It comprises a repeated, cross-sectional, self-administered survey drawn from a representative sample of 7th to 9th grade students, performed in the school years 2003-2004 (GSHS-Lara 2004) and 2007-2008 (GSHS-Lara 2008). It explores, among other things, a general violence indicator such as school absenteeism due to feeling unsafe at school or on the way to or from school for any reason; and more specific indicators of violence such as robbery, bullying, physical fights and use of weapons, as well as exposure to lectures on how to prevent violence. Results are given in terms of prevalence percentage. Results Absenteeism doubled between the two study periods (10.8% to 20.8%). The number of students that were a victim of robbery remained high and without change both outside (14.2% and 14.8%) and inside school (21.7% and 22.0%). The number of victims of bullying was high and increasing (33.4% and 43.6%). Bullying associated with being physically attacked decreased (18.5% to 14.3%). Physical attacks without active participation and not associated with bullying were frequent (21.5%). Physical fighting with active participation prevalence remained high and without change (27.5% and 28.2%). Carrying a weapon almost doubled (4.3% to 7.1%). Less than 65% reported classes for violence prevention. Conclusions The GSHS-Lara shows that violence is an important public health problem that needs to be addressed by the community and its authorities. PMID:22958602
Implications of Eighth Grade Algebra I on High School Mathematics Achievement
ERIC Educational Resources Information Center
Bayard, Robert
2012-01-01
As of 2008, approximately 40% of eighth grade students in the United States enroll in Algebra I (National Council of Teachers of Mathematics, 2008). Although research has shown that students have more opportunities to take advanced mathematics courses by taking eighth grade Algebra I, in the United States, approximately only one-third to one-half…
Automorphisms and Derivations of the Insertion-Elimination Algebra and Related Graded Lie Algebras
NASA Astrophysics Data System (ADS)
Ondrus, Matthew; Wiesner, Emilie
2016-07-01
This paper addresses several structural aspects of the insertion-elimination algebra {mathfrak{g}}, a Lie algebra that can be realized in terms of tree-inserting and tree-eliminating operations on the set of rooted trees. In particular, we determine the finite-dimensional subalgebras of {mathfrak{g}}, the automorphism group of {mathfrak{g}}, the derivation Lie algebra of {mathfrak{g}}, and a generating set. Several results are stated in terms of Lie algebras admitting a triangular decomposition and can be used to reproduce results for the generalized Virasoro algebras.
ERIC Educational Resources Information Center
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…
Multipoint Lax operator algebras: almost-graded structure and central extensions
Schlichenmaier, M
2014-05-31
Recently, Lax operator algebras appeared as a new class of higher genus current-type algebras. Introduced by Krichever and Sheinman, they were based on Krichever's theory of Lax operators on algebraic curves. These algebras are almost-graded Lie algebras of currents on Riemann surfaces with marked points (in-points, out-points and Tyurin points). In a previous joint article with Sheinman, the author classified the local cocycles and associated almost-graded central extensions in the case of one in-point and one out-point. It was shown that the almost-graded extension is essentially unique. In this article the general case of Lax operator algebras corresponding to several in- and out-points is considered. As a first step they are shown to be almost-graded. The grading is given by splitting the marked points which are non-Tyurin points into in- and out-points. Next, classification results both for local and bounded cocycles are proved. The uniqueness theorem for almost-graded central extensions follows. To obtain this generalization additional techniques are needed which are presented in this article. Bibliography: 30 titles.
ERIC Educational Resources Information Center
Atnafu, Mulugeta
2010-01-01
The purpose of this study was to examine the relation between the attitudes and components of attitude of the students towards algebra with their algebra achievements. The population for this study consists of all government tenth grade students and their mathematics teachers in Addis Ababa city administration. Sixteen tenth grade sections were…
ERIC Educational Resources Information Center
Clotfelter, Charles T.; Ladd, Helen F.; Vigdor, Jacob L.
2012-01-01
In 2002/03, the Charlotte-Mecklenburg Schools in North Carolina initiated a broad program of accelerating entry into algebra coursework. The proportion of moderately-performing students taking algebra in 8th grade increased from half to 85%, then reverted to baseline levels, in the span of just five years. We use this policy-induced variation to…
ERIC Educational Resources Information Center
Snipes, Jason; Huang, Chun-Wei; Jaquet, Karina; Finkelstein, Neal
2015-01-01
The Effects of the Elevate Math summer program on math achievement and algebra readiness: This randomized trial examined the effects of the Elevate Math summer program on math achievement and algebra readiness, as well as math interest and self-efficacy, among rising 8th grade students in California's Silicon Valley. The Elevate Math summer math…
Access to Algebra I, Gateway to Success: The Impact of Eighth-Grade Algebra I
ERIC Educational Resources Information Center
Darling, Emily Jean Skelton
2010-01-01
An understanding of Algebra I and the role that this foundational course plays as an entry to the college preparatory pathway in secondary education and its influence on mathematical achievement is an integral component for the education of American youth in the global world of science and technology. Achievements in high school curricula are…
ERIC Educational Resources Information Center
Raymond, Roger A.
In the second year of a study to compare and evaluate programed and conventional instruction in algebra for the ninth and tenth grades, comparisons of the control and experimental groups in each grade were again based on scores from the Lankton First-Year Algebra Test and the California Study Methods Survey (CSMS). Although there was a…
ERIC Educational Resources Information Center
Lim, Kok Seng
2010-01-01
Introduction: This study aimed to investigate the errors made by 265 Form 2 male students in simplifying algebraic expressions. Method: A total of 265 Form 2 (Grade 7) male students were selected for this study. 10 high, medium and low ability students in each group were selected for the interviews. 40 items were administered to the respondents to…
ERIC Educational Resources Information Center
Jin, Haiyue; Wong, Khoon Yoong
2015-01-01
Conceptual understanding is a major aim of mathematics education, and concept map has been used in non-mathematics research to uncover the relations among concepts held by students. This article presents the results of using concept map to assess conceptual understanding of basic algebraic concepts held by a group of 48 grade 8 Chinese students.…
ERIC Educational Resources Information Center
Kopp, Jaine; Bergman, Lincoln
This teacher guide helps build a solid foundation in algebra for students in grades 3-5 in which students gain essential understanding of properties of numbers, variables, functions, equations, and formulas. Throughout the problem solving activities, students use computational skills and gain a deeper understanding of the number system. Students…
Review of "The Misplaced Math Student: Lost in Eighth-Grade Algebra"
ERIC Educational Resources Information Center
Burris, Carol Corbett
2008-01-01
The Brookings Institution report questions the efficacy of increasing the number of students who take algebra in eighth grade. Although this policy has resulted in more equitable access to advanced math study, the report argues that a subgroup of students enrolled lack the basic mathematical skills needed to succeed. The report further argues that…
Course Placement Series: Spotlight on Eighth Grade Algebra I. Policy Brief
ERIC Educational Resources Information Center
Tennessee Department of Education, 2015
2015-01-01
The Tennessee Department of Education explored course enrollment patterns in an effort to better understand in which courses students are enrolling and whether course enrollment policies and procedures are promoting students' interests. This report focuses on eighth grade Algebra I enrollment, which can propel students to take more rigorous math…
Student Strategy Choices on a Constructed Response Algebra Problem
ERIC Educational Resources Information Center
Ross, Dan; Reys, Robert; Chavez, Oscar; McNaught, Melissa D.; Grouws, Douglas A.
2011-01-01
A central goal of secondary mathematics is for students to learn to use powerful algebraic strategies appropriately. Research has demonstrated student difficulties in the transition to using such strategies. We examined strategies used by several thousand 8th-, 9th-, and 10th-grade students in five different school systems over three consecutive…
Predicting Eighth-Grade Algebra Students with Individualized Education Programs
ERIC Educational Resources Information Center
Faulkner, Valerie N.; Crossland, Cathy L.; Stiff, Lee V.
2013-01-01
This study investigated the extent to which student performance and teacher perception of student performance affect placement in eighth-grade mathematics classes for students with disabilities. Authors used the Early Childhood Longitudinal Study--Kindergarten dataset to investigate how each of the following factors predicted placement in…
Algebra for All: California's Eighth-Grade Algebra Initiative as Constrained Curricula
ERIC Educational Resources Information Center
Domina, Thurston; Penner, Andrew M.; Penner, Emily K.; Conley, AnneMarie
2014-01-01
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…
ERIC Educational Resources Information Center
Shoecraft, Paul Joseph
Three instructional approaches on translating selected types of algebra word problems were investigated: direct translations, high imagery with materials, and high imagery with drawings. Participating were 366 seventh grade and 336 ninth grade students. Treatment effects by grade used multivariate analysis of covariance for student scores and…
ERIC Educational Resources Information Center
Grandau, Laura
2013-01-01
This study of fourth-grade students and teachers explores mathematics teaching and learning that focuses on discovering and modeling algebraic relationships. The study has two parts: an investigation of how students learn to construct algebraic statements and models for comparisons and measurement situations in the multiplicative domain, and an…
ERIC Educational Resources Information Center
Manitoba Dept. of Education, Winnipeg. Bureau of French Education.
Official instructional materials for the second three years (grades 7-9) of the Manitoba Department of Education's core French language program are presented. These materials, intended for teachers, consist of units of instruction for each year, which contain notes for the teacher, suggestions for class activities, materials for student use, and…
ERIC Educational Resources Information Center
Oklahoma City Public School System, OK. Dept. of Home Economics.
Prevocational materials for use at the seventh and/or eighth grade levels are presented in this curriculum guide. Materials cover six areas, each consisting of several instructional units planned for more than one lesson or class period. Each unit includes behavioral objectives, suggested activities for teacher and students, information sheets,…
ERIC Educational Resources Information Center
Granet, Eileen M.
This eighth-grade lesson teaches about military battles and the lives of women during the U.S. Civil War. Students work both individually and in groups, assuming the perspective of a young woman who has left home to join the war effort. The lesson progresses along the following steps: (1) "Getting Started" (Focus on a particular woman's role); (2)…
ERIC Educational Resources Information Center
Falcon, Raymond
2009-01-01
Teachers use action research in order to improve their teaching and student learning. This action research will analyze students' algebraic reasoning in finding values of variables in systems of equations pictorially and algebraically. This research will look at students solving linear systems of equations without knowing the algebraic algorithms.…
ERIC Educational Resources Information Center
Walston, Jill; McCarroll, Jill Carlivati
2010-01-01
This Brief is intended to provide descriptive statistics about various aspects of algebra enrollment in the eighth grade. The first analyses describe who is taking algebra in the eighth grade; findings compare eighth-grade course enrollment percentages for students with different demographic, family, geographic, and school characteristics (table…
8th Spacecraft Charging Technology Conference
NASA Technical Reports Server (NTRS)
Minor, J. L. (Compiler)
2004-01-01
The 8th Spacecraft Charging Technology Conference was held in Huntsville, Alabama, October 20-24, 2003. Hosted by NASA s Space Environments and Effects (SEE) Program and co-sponsored by the Air Force Research Laboratory (AFRL) and the European Space Agency (ESA), the 2003 conference saw attendance from eleven countries with over 65 oral papers and 18 poster papers. Presentation topics highlighted the latest in spacecraft charging mitigation techniques and on-orbit investigations, including: Plasma Propulsion and Tethers; Ground Testing Techniques; Interactions of Spacecraft and Systems With the Natural and Induced Plasma Environment; Materials Characterizations; Models and Computer Simulations; Environment Specifications; Current Collection and Plasma Probes in Space Plasmas; On-Orbit Investigations. A round-table discussion of international standards regarding electrostatic discharge (ESD) testing was also held with the promise of continued discussions in the off years and an official continuation at the next conference.
ERIC Educational Resources Information Center
Egodawatte, Gunawardena; Stoilescu, Dorian
2015-01-01
The purpose of this mixed-method study was to investigate grade 11 university/college stream mathematics students' difficulties in applying conceptual knowledge, procedural skills, strategic competence, and algebraic thinking in solving routine (instructional) algebraic problems. A standardized algebra test was administered to thirty randomly…
Teaching Algebra without Algebra
ERIC Educational Resources Information Center
Kalman, Richard S.
2008-01-01
Algebra is, among other things, a shorthand way to express quantitative reasoning. This article illustrates ways for the classroom teacher to convert algebraic solutions to verbal problems into conversational solutions that can be understood by students in the lower grades. Three reasonably typical verbal problems that either appeared as or…
8th Annual European Antibody Congress 2012
Beck, Alain; Carter, Paul J.; Gerber, Hans-Peter; Lugovskoy, Alexey A.; Wurch, Thierry; Junutula, Jagath R.; Kontermann, Roland E; Mabry, Robert
2013-01-01
The 8th European Antibody Congress (EAC), organized by Terrapin Ltd., was again held in Geneva, Switzerland, following on the tradition established with the 4th EAC. The new agenda format for 2012 included three parallel tracks on: (1) naked antibodies; (2) antibody drug conjugates (ADCs); and (3) bispecific antibodies and alternative scaffolds. The meeting started and closed with three plenary lectures to give common background and to share the final panel discussion and conclusions. The two day event included case studies and networking for nearly 250 delegates who learned of the latest advances and trends in the global development of antibody-based therapeutics. The monoclonal antibody track was focused on understanding the structure-function relationships, optimization of antibody design and developability, and processes that allow better therapeutic candidates to move through the clinic. Discussions on novel target identification and validation were also included. The ADC track was dedicated to evaluation of the ongoing success of the established ADC formats alongside the rise of the next generation drug-conjugates. The bispecific and alternative scaffold track was focused on taking stock of the multitude of bispecific formats being investigated and gaining insight into recent innovations and advancements. Mechanistic understanding, progression into the clinic and the exploration of multispecifics, redirected T cell killing and alternative scaffolds were extensively discussed. In total, nearly 50 speakers provided updates of programs related to antibody research and development on-going in the academic, government and commercial sectors. PMID:23493119
Earth's Dynamic Systems, 8th Edition
NASA Astrophysics Data System (ADS)
Winterer, Edward L.
From the very first edition, Hamblin and Christiansen's elementary geology text, Earth's Dynamic Systems, has stood above its competitors in the quality of its illustrations— all of them now in color. These are exceptionally well planned to bring out essential points of the text and are models of clarity and artistic design, especially the three-dimensional cutaway diagrams of tectonic and geomorphic features. Many new drawings and photos have been incorporated in this 8th edition, including dramatic pictures of planetary surfaces. Each of the 25 chapters begins with an opening statement that puts the chapter in a larger context and closes with a list of key terms, some thought-provoking review questions, a list of suggested readings in more advanced works, and—a novel and useful feature—a list of Web sites germane to the chapter. An illustrated glossary and a useful index complete the book. Pages feature wake-up questions for the student, such as “How do we know that streams erode the valleys through which they flow?”
Nutrition Super Stars [7th and 8th Grades].
ERIC Educational Resources Information Center
Houtkooper, Linda; And Others
This kit is designed to be used as part of health, science, physical education, and home economics education at the middle school level. It provides current information about and describes student learning activities in food, nutrition, physical fitness, and ecology. Class plans are offered for five lesson topics: (1) Food supplies nutrients,…
8th Grade Direct Mathematics Assessment Toolkit. Revised 2000.
ERIC Educational Resources Information Center
Idaho State Dept. of Education, Boise. Dept. of Public Instruction.
The purpose of the Idaho Direct Mathematics Assessment (DMA) is to measure Idaho students' mathematical problem-solving skills, including their ability to apply basic skills to problem-solving situations as stated in the Idaho Achievement Standards document. Problem solving is valued as an essential tool for success in a complex, modern world. The…
8th Grade Students Metaphors for the Concept of History
ERIC Educational Resources Information Center
Yalçinkaya, Elvan
2013-01-01
Problem Statement: History is a science that helps people guide their futures; it is an indispensable part of education. It is important for students to know the past well in order to understand the present better and direct their future. History does not have magical laws to generalize in predicting future. However, we have to know that history…
An Intervention Including an Online Game to Improve Grade 6 Students' Performance in Early Algebra
ERIC Educational Resources Information Center
Kolovou, Angeliki; van den Heuvel-Panhuizen, Marja; Koller, Olaf
2013-01-01
This study investigated whether an intervention including an online game contributed to 236 Grade 6 students' performance in early algebra, that is, solving problems with covarying quantities. An exploratory quasi-experimental study was conducted with a pretest-posttest-control-group design. Students in the experimental group were asked to…
ERIC Educational Resources Information Center
Raymond, Roger A.
Ninth and tenth grade students from two schools were placed in experimental and conventional instruction classes to compare the two methods in teaching algebra by means of achievement test and time needed to complete the course. Pre- and posttests measured aptitude; teachers and students in the experimental groups recorded personal reactions to…
ERIC Educational Resources Information Center
Sher, Stephen Korb
2011-01-01
This study looked at 4th grade classrooms to see "how" teachers implement NCTM standards-based or reform-based mathematics instruction and then analyzed it for the capacity to improve students' "algebra readiness." The qualitative study was based on classroom observations, teacher and administrator interviews, and teacher surveys. The study took…
Paradoxes and Paradigms in an Eighth Grade Pre-Algebra Class: A Case Study of a "Good" Math Teacher.
ERIC Educational Resources Information Center
Gregoire, Michele
Evidence is presented from an ethnographic study of an eighth grade pre-algebra teacher's classroom in support of the idea that teachers' beliefs about the ontology and epistemology of math profoundly influence how they teach and thus what students learn. Specifically, beliefs based on a traditional view of mathematics as procedurally-based are…
Clarification on the Clarification on the April 8th Memorandum from H.E.W.
ERIC Educational Resources Information Center
Journal of the National Association for Bilingual Education, 1976
1976-01-01
The clarification of the April 8th memorandum is that "the Lau remedies are minimum requirements and that in cases depending on student language dominance, grade level, and academic achievement, a bilingual program 'is' the remedy, and the only educationally sound way of ensuring effective participation in the instructional program." (NQ)
A Chemistry Course for High Ability 8th, 9th, and 10th Graders.
ERIC Educational Resources Information Center
Kilker, Richard, Jr.
1985-01-01
Describes a chemistry course designed, in cooperation with local public school districts, to intellectually challenge a group of 8th, 9th, and 10th grade students. Organic chemistry and biochemistry are integrated into the course (titled Chemistry and Everyday Life) to emphasize practical applications of chemistry. The course syllabus is included.…
ERIC Educational Resources Information Center
Edge, Donna L.
2009-01-01
The questions guiding this research seek to discover the factors that affect high school math course completion and college readiness in a Texas suburban public school district. The first research question examines the relationship between 8th grade completion of Algebra I and high school mathematics course taking patterns and college readiness.…
Different Grade Students' Use and Interpretation of Literal Symbols
ERIC Educational Resources Information Center
Celik, Derya; Gunes, Gonul
2013-01-01
The aim of the study was to determine and compare 7th, 8th, and 9th grades students' level of use and interpret the literal symbols. In addition, students' responses to questions that require use of different roles of literal symbol were examined to identify the errors. For this purpose, Chelsea Diagnostics Algebra test developed by The…
Twisted Quantum Toroidal Algebras
NASA Astrophysics Data System (ADS)
Jing, Naihuan; Liu, Rongjia
2014-09-01
We construct a principally graded quantum loop algebra for the Kac-Moody algebra. As a special case a twisted analog of the quantum toroidal algebra is obtained together with the quantum Serre relations.
Highlights of the 8th International Veterinary Immunology Symposium
Technology Transfer Automated Retrieval System (TEKTRAN)
Veterinary immunologists have expanded understanding of the immune systems for our companion animals and developed new vaccines and therapeutics. This manuscript summarizes the highlights of the 8th International Veterinary Immunology Symposium (8 th IVIS) held August 15th-19th, 2007, in Ouro Preto,...
ERIC Educational Resources Information Center
Senarat, Somprasong; Tayraukham, Sombat; Piyapimonsit, Chatsiri; Tongkhambanjong, Sakesan
2013-01-01
The purpose of this research is to develop a multidimensional computerized adaptive test for diagnosing the cognitive process of grade 7 students in learning algebra by applying multidimensional item response theory. The research is divided into 4 steps: 1) the development of item bank of algebra, 2) the development of the multidimensional…
Teacher Quality and Teaching Quality of 7th-Grade Algebra I Honors Teachers
ERIC Educational Resources Information Center
Perez, Barbara
2013-01-01
With more and more focus on accountability, algebra achievement has become a major focus of math curriculum developers. In many states, students are expected to pass standardized Algebra achievement tests in order to satisfy graduation requirements. The purpose of this study was to identify teacher qualities and teaching qualities linked to…
Examining Heterogeneity in the Effect of Taking Algebra in Eighth Grade
ERIC Educational Resources Information Center
Rickles, Jordan H.
2013-01-01
Increased access to algebra was a focal point of the National Mathematics Advisory Panel's 2008 report on improving mathematics learning in the United States. Past research found positive effects for early access to algebra, but the focus on average effects may mask important variation across student subgroups. The author addresses whether…
The Effect of Online Tasks for Algebra on Student Achievement in Grade 8
ERIC Educational Resources Information Center
Drijvers, Paul; Doorman, Michiel; Kirschner, Paul; Hoogveld, Bert; Boon, Peter
2014-01-01
Online resources are widely used for educational purposes, such as the training of skills. For algebra education in particular, online resources are expected to contribute to skill mastery in an efficient and effective way. However, studies that underpin these claims through a randomized experiment are scarce. To experimentally investigate the…
Updating Algebra for All?: Evidence of a Middle-Grades Math Acceleration Policy
ERIC Educational Resources Information Center
Dougherty, Shaun M.; Goodman, Joshua; Hill, Darryl; Litke, Erica; Page, Lindsay
2014-01-01
The Wake County Public School System (WCPSS) in North Carolina recently addressed the issue of advancement in and equitable access to advanced mathematics. Under a recent policy, WCPSS uses a SAS-generated predicted probabilities of students' success in obtaining a passing score on the NC Algebra I End-of-Course (EOC) exam, to determine…
ERIC Educational Resources Information Center
Martin, Bruce; Bright, Alan; Cafaro, Philip; Mittelstaedt, Robin; Bruyere, Brett
2008-01-01
This study attempted to assess the development of environmental virtue in 7th and 8th grade students in an Expeditionary Learning Outward Bound school. The purpose of this study was twofold. First, the researchers were interested in introducing a virtue ethics perspective into their teaching of environmental ethics. Second, the researchers were…
Why are urban Indian 6th graders using more tobacco than 8th graders? Findings from Project MYTRI
Stigler, M H; Perry, C L; Arora, M
2006-01-01
Objective To investigate why urban Indian 6th graders may be using more tobacco than urban Indian 8th graders. Design Cross‐sectional survey of students conducted in the summer of 2004, as the baseline evaluation tool for a group‐randomised tobacco prevention intervention trial (Project MYTRI). Mixed‐effects regression models were used to (1) examine the relationship between 15 psychosocial risk factors and current use of any tobacco, by grade; and (2) examine differences in psychosocial risk factors, by grade. Setting Thirty‐two private (high socioeconomic status (SES)) and government (low‐mid SES) schools in two large cities in India (Delhi and Chennai). Subjects Students in the 6th and 8th grade in these schools (n = 11642). Among these, 50.6% resided in Delhi (v Chennai), 61.4% attended a government school (v a private school), 52.9% were enrolled in 6th grade (v 8th), and 54.9% were male (v female). Main outcome measure Current (past 30 day) use of any tobacco, including chewing tobacco (for example, gutkha), bidis, or cigarettes. Result Almost all psychosocial factors were significantly related to tobacco use, for students in both grades. Some of the strongest correlates included social susceptibility to and social norms about use. Exposure to tobacco advertising was a strong correlate of tobacco use for 6th graders, but not for 8th graders. Sixth graders scored lower than 8th graders on almost all factors, indicating higher risk. Conclusions The “risk profile” of 6th graders suggests they would be vulnerable to use and to begin using tobacco, as well as to outside influences that may encourage use. PMID:16723678
Report on the 8th European Congress on Menopause.
Eglinton, Elizabeth; Al-Azzawi, Farook
2009-09-01
The 8th European Congress on Menopause (EMAS), held 16-19 May 2009 in London, UK, was organized by the European Menopause and Andropause Society and hosted by the British Menopause Society (BMS). The Congress invited speakers from a range of European countries as well as some from the USA, Ecuador, Chile, Australia and South Africa, and attracted 1470 participants from over 70 countries as far afield as the Americas and East Asia. PMID:19702446
Maker of SAT Aims New Test at 8th Graders
ERIC Educational Resources Information Center
Cech, Scott J.
2008-01-01
Officials at the New York City-based College Board last week rolled out their newest product: ReadiStep. No, it is not a new piece of exercise equipment or a whipped dessert topping--it is a test for 8th graders that some critics are calling a pre-PSAT, referring to the Preliminary SAT assessment taken by 9th and 10th graders and owned by the…
ERIC Educational Resources Information Center
Harootunian, Alen
2012-01-01
In this study, relationships were examined between students' perception of their cognition, behavior, environment, and motivation. The purpose of the research study was to explore the extent to which 9th and 10th grade students' perception of environment, cognition, and behavior can predict their motivation in Algebra and Geometry…
The 8th Century Megadrought Across North America
NASA Astrophysics Data System (ADS)
Stahle, D. W.; Therrell, M. D.; Cleaveland, M. K.; Fye, F. K.; Cook, E. R.; Grissino-Mayer, H. D.; Acuna-Soto, R.
2002-12-01
Tree-ring data suggest that the 8th and 16th century megadroughts may have been the most severe and sustained droughts to impact North America in the past 1500 years. The 16th century megadrought may have persisted for up to 40 years, and extended from the tropics to the boreal forest and from the Pacific to Atlantic coasts. Evidence for the 8th century drought is sparse, but tree-ring and lake sediment data indicate that this drought extended from the northern Great Plains, across the southwestern United States, and into central Mexico and the Yucatan peninsula. Tree-ring data from Colorado and New Mexico document severe drought from A.D. 735-765, and may provide accurate and precise dating for the onset of the epic droughts reconstructed during the late first millennium A.D. with sedimentary data from Elk Lake, Minnesota; Moon Lake, South Dakota; La Piscina de Yuriria, Guanajuato; and Lake Chichancanab, Yucatan. If these chronological refinements are correct, then the sedimentary records suggest much greater persistence to the 8th century megadrought than indicated by the very high resolution tree-ring data, and a strong second pulse of prolonged drought late in the first millennium. Analyses of instrumental precipitation and drought indices during the 20th century, along with tree-ring reconstructions of climate in Mexico and the Southwest, indicate that annual and decadal droughts can both simultaneously impact the entire region from New Mexico and Texas down into central Mexico. The intensity and large-scale impact of drought across this region seem to be greatest when La Nina conditions and the low phase of the North Pacific oscillation prevail. The tree-ring dated 8th century megadrought occurred near the decline of the Classic Period civilizations at Teotihuacan in central Mexico and in the Mayan region of the Yucatan. The 8th century megadrought may have interacted with anthropogenic environmental degradation, epidemic disease, and social upheaval to
Pre-Algebra. Grade 7A-B. Curriculum Bulletin 82CBM34.
ERIC Educational Resources Information Center
Doucet, Flores J.
This guide for teachers in the Houston schools provides plans for teaching over 80 objectives in the mathematics program for grade 7. For each lesson, the objectives are specified, teaching activities are given, and supplementary materials are listed. Practice exercises, answer keys, and mathematical background comprise the bulk of the guide, and…
1. E Street (north) facade and 8th Street (east) side. ...
1. E Street (north) facade and 8th Street (east) side. The next property south on 8th Street is the Potomac Electric Power Company station (422 8th Street), south of that is Lansburgh's Warehouse (410 8th Street), and south of that is 408 8th Street and then a parking lot. - Simon Oppenheimer & Brother Building, 800 E Street, Northwest, Washington, District of Columbia, DC
8th International Symposium on Supramolecular and Macrocyclic Chemistry
Davis, Jeffery T.
2015-09-18
This report summarizes the 8th International Conference on Supramolecular and Macrocyclic Chemistry (ISMSC-8). DOE funds were used to make it more affordable for students, post-docs and junior faculty to attend the conference by covering their registration costs. The conference was held in Crystal City, VA from July 7-11, 2013. See http://www.indiana.edu/~ismsc8/ for the conference website. ISMSC-8 encompassed the broad scope and interdisciplinary nature of the field. We met our goal to bring together leading scientists in molecular recognition and supramolecular chemistry. New research directions and collaborations resulted this conference. The DOE funding was crucial for us achieving our primary goal.
Nursing in the 8th Evacuation Hospital, 1942-1945.
Brown, William J
2015-01-01
This article describes the experiences of Army nurses in the University of Virginia sponsored 8th Evacuation Hospital during World War II. In addition, it examines gender and role differences within the Army Medical Department, and how nurses' contributions helped shape the profession. This research used traditional historical methods of inquiry to include both primary and secondary sources of information. Primary sources include newspaper clippings, letters, citations, and photographs from the archival collections of the 8th Evacuation Hospital located in the University of Virginia Historical Collections and Services, Charlottesville, VA, and journal articles from that period. Secondary sources consisted of bibliographical and historical texts. Evidence suggests that advances in the chain-of-evacuation, antibiotics, dissemination of blood products, and nurses' expanded roles all contributed to increased survival of the wounded. Nurses' performance garnered an enduring respect from combatants who received care, as well as the medical officers and enlisted personnel with whom they worked on a daily basis. Collaboration, mutual respect, and coordinated teamwork were critical for mission success. Army nurses demonstrated that they had the mettle to go into a war zone and perform in an exemplary manner. PMID:26606414
8th edition of the Table of Isotopes: 1998 Update
NASA Astrophysics Data System (ADS)
Firestone, Richard B.; Chu, S. Y. Frank; Baglin, Coral M.
1997-10-01
The 8th edition of the Table of Isotopes (John Wiley, New York) was published in 1996 as both a two-volume book and a CD-ROM. A 1998 update to the 8th edition CD-ROM is nearly completed. The 1998 update will include data added to the Evaluated Nuclear Structure Data File (ENSDF) since about 1995. Special effort was taken, for this update, to revise ENSDF for nuclides far-from-stability, superdeformed bands, and spontaneous fission. The update will contain data for over 3600 isotopes and isomers, nearly 500 more than the previous edition. The Table of Isotopes is being prepared in Acrobat PDF format and provided with Acrobat Reader software for most computers. This new version will be Internet enabled including local HTML links to additional data for nuclear astrophysics, atomic masses, radioactive decay, fission yields, and other information. The CD-ROM will also contain the ENSDF and Nuclear Science Reference (NSR) files. Isotope Explorer software (PC) will be provided to search the ENSDF database to display level scheme drawings, data tables, plots, nuclear charts, and to perform literature searches. An Internet publication of the Table of Isotopes is under developement.
ERIC Educational Resources Information Center
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…
Technology Transfer Automated Retrieval System (TEKTRAN)
This is the Special Issue of Vet. Immunol. Immunopathol. that summarizes the 8th International Veterinary Immunology Symposium (8 th IVIS) held August 15th-19th, 2007, in Ouro Preto, Brazil. The 8 th IVIS highlighted the importance of veterinary immunology for animal health, vaccinology, reproducti...
Experts Question California's Algebra Edict
ERIC Educational Resources Information Center
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…
ERIC Educational Resources Information Center
Blanton, Maria; Levi, Linda; Crites, Terry; Dougherty, Barbara; Zbiek, Rose Mary
2011-01-01
Like algebra at any level, early algebra is a way to explore, analyze, represent, and generalize mathematical ideas and relationships. This book shows that children can and do engage in generalizing about numbers and operations as their mathematical experiences expand. The authors identify and examine five big ideas and associated essential…
8th International symposium on transport phenomena in combustion
1995-12-31
The 8th International Symposium on Transport Phenomena in Combustion will be held in San Francisco, California, U.S.A., July 16-20, 1995, under the auspices of the Pacific Center of Thermal-Fluids Engineering. The purpose of the Symposium is to provide a forum for researchers and practitioners from around the world to present new developments and discuss the state of the art and future directions and priorities in the areas of transport phenomena in combustion. The Symposium is the eighth in a series; previous venues were Honolulu 1985, Tokyo 1987, Taipei 1988, Sydney 1991, Beijing 1992, Seoul 1993 and Acapulco 1994, with emphasis on various aspects of transport phenomena. The current Symposium theme is combustion. The Symposium has assembled a balanced program with topics ranging from fundamental research to contemporary applications of combustion theory. Invited keynote lecturers will provide extensive reviews of topics of great interest in combustion. Colloquia will stress recent advances and innovations in fire spread and suppression, and in low NO{sub x} burners, furnaces, boilers, internal combustion engines, and other practical combustion systems. Finally, numerous papers will contribute to the fundamental understanding of complex processes in combustion. This document contains abstracts of papers to be presented at the Symposium.
PREFACE: 8th European Conference on Applied Superconductivity (EUCAS'07)
NASA Astrophysics Data System (ADS)
Hoste, Serge; Ausloos, Marcel
2008-03-01
This issue of Journal of Physics: Conference Series contains contributed papers presented at the 8th European Conference on Applied Superconductivity (EUCAS'07) that was held in Brussels, Belgium from 16-20 September 2007. The plenary and invited papers were published in the journal Superconductor Science and Technology. The scientific aims of EUCAS'07 followed the tradition established at the preceding conferences in Göttingen (Germany), Edinburgh (United Kingdom), Eindhoven (The Netherlands), Sitges (Spain), Lyngby (Denmark), Sorrento (Italy) and Vienna (Austria). The focus was placed on the interplay between the most recent developments in superconductor research and the positioning of applications of superconductivity in the marketplace. Although initially founded as an exchange forum mainly for European scientists, it has gradually developed into a truly international meeting with a very significant attendance from the Far East and the United States. Under the guidance of ESAS (the European Society for Applied Superconductivity) this Brussels conference was jointly organized by the University of Ghent and the University of Liege and attracted 795 participants to the scientific programme including a healthy number of 173 students. Participants from 46 countries included a considerable 30% attendance from the Far East and 7% from the United States and Canada. Thirty companies presented their latest developments in the field; 13 plenary and 28 invited lectures highlighted the state-of-the-art in the areas of materials, large-scale as well as small-scale applications were given. Based on a refereed evaluation of all the papers and posters submitted, 347 papers were selected for publication in the IOP electronic journal Journal of Physics: Conference Series and in Superconductor Science and Technology. EUCAS'07 spread a lot of optimism and enthusiasm for this fascinating field of research and for its well established technological potential, especially among the
PREFACE: 8th Edoardo Amaldi Conference on Gravitational Waves
NASA Astrophysics Data System (ADS)
Marka, Zsuzsa; Marka, Szabolcs
2010-04-01
(The attached PDF contains select pictures from the Amaldi8 Conference) At Amaldi7 in Sydney in 2007 the Gravitational Wave International Committee (GWIC), which oversees the Amaldi meetings, decided to hold the 8th Edoardo Amaldi Conference on Gravitational Waves at Columbia University in the City of New York. With this decision, Amaldi returned to North America after a decade. The previous two years have seen many advances in the field of gravitational wave detection. By the summer of 2009 the km-scale ground based interferometric detectors in the US and Europe were preparing for a second long-term scientific run as a worldwide detector network. The advanced or second generation detectors had well-developed plans and were ready for the production phase or started construction. The European-American space mission, LISA Pathfinder, was progressing towards deployment in the foreseeable future and it is expected to pave the ground towards gravitational wave detection in the milliHertz regime with LISA. Plans were developed for an additional gravitational wave detector in Australia and in Japan (in this case underground) to extend the worldwide network of detectors for the advanced detector era. Japanese colleagues also presented plans for a space mission, DECIGO, that would bridge the gap between the LISA and ground-based interferometer frequency range. Compared to previous Amaldi meetings, Amaldi8 had new elements representing emerging trends in the field. For example, with the inclusion of pulsar timing collaborations to the GWIC, gravitational wave detection using pulsar timing arrays was recognized as one of the prominent directions in the field and was represented at Amaldi8 as a separate session. By 2009, searches for gravitational waves based on external triggers received from electromagnetic observations were already producing significant scientific results and plans existed for pointing telescopes by utilizing gravitational wave trigger events. Such
Leibniz algebras associated with representations of filiform Lie algebras
NASA Astrophysics Data System (ADS)
Ayupov, Sh. A.; Camacho, L. M.; Khudoyberdiyev, A. Kh.; Omirov, B. A.
2015-12-01
In this paper we investigate Leibniz algebras whose quotient Lie algebra is a naturally graded filiform Lie algebra nn,1. We introduce a Fock module for the algebra nn,1 and provide classification of Leibniz algebras L whose corresponding Lie algebra L / I is the algebra nn,1 with condition that the ideal I is a Fock nn,1-module, where I is the ideal generated by squares of elements from L. We also consider Leibniz algebras with corresponding Lie algebra nn,1 and such that the action I ×nn,1 → I gives rise to a minimal faithful representation of nn,1. The classification up to isomorphism of such Leibniz algebras is given for the case of n = 4.
Teaching Arithmetic and Algebraic Expressions
ERIC Educational Resources Information Center
Subramaniam, K.; Banerjee, Rakhi
2004-01-01
A teaching intervention study was conducted with sixth grade students to explore the interconnections between students' growing understanding of arithmetic expressions and beginning algebra. Three groups of students were chosen, with two groups receiving instruction in arithmetic and algebra, and one group in algebra without arithmetic. Students…
PREFACE: 8th Edoardo Amaldi Conference on Gravitational Waves
NASA Astrophysics Data System (ADS)
Marka, Zsuzsa; Marka, Szabolcs
2010-04-01
(The attached PDF contains select pictures from the Amaldi8 Conference) At Amaldi7 in Sydney in 2007 the Gravitational Wave International Committee (GWIC), which oversees the Amaldi meetings, decided to hold the 8th Edoardo Amaldi Conference on Gravitational Waves at Columbia University in the City of New York. With this decision, Amaldi returned to North America after a decade. The previous two years have seen many advances in the field of gravitational wave detection. By the summer of 2009 the km-scale ground based interferometric detectors in the US and Europe were preparing for a second long-term scientific run as a worldwide detector network. The advanced or second generation detectors had well-developed plans and were ready for the production phase or started construction. The European-American space mission, LISA Pathfinder, was progressing towards deployment in the foreseeable future and it is expected to pave the ground towards gravitational wave detection in the milliHertz regime with LISA. Plans were developed for an additional gravitational wave detector in Australia and in Japan (in this case underground) to extend the worldwide network of detectors for the advanced detector era. Japanese colleagues also presented plans for a space mission, DECIGO, that would bridge the gap between the LISA and ground-based interferometer frequency range. Compared to previous Amaldi meetings, Amaldi8 had new elements representing emerging trends in the field. For example, with the inclusion of pulsar timing collaborations to the GWIC, gravitational wave detection using pulsar timing arrays was recognized as one of the prominent directions in the field and was represented at Amaldi8 as a separate session. By 2009, searches for gravitational waves based on external triggers received from electromagnetic observations were already producing significant scientific results and plans existed for pointing telescopes by utilizing gravitational wave trigger events. Such
ERIC Educational Resources Information Center
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…
ERIC Educational Resources Information Center
Malik, Ishan Z.
2011-01-01
Urban African American students lack an abstract understanding of algebra and are below their academic level in comparison to other ethnic groups, and this is a pervasive problem (McKinney, Chappell, Berry, & Hickman, 2009). The purpose of this quantitative study using a quasi-experimental design was to determine whether the use of…
ERIC Educational Resources Information Center
Ralston, Nicole C.
2013-01-01
Elementary school students often exhibit a wide variety of different conceptions associated with algebraic thinking that their teachers fail to recognize or understand (Smith, diSessa, & Roschelle, 1994). It is crucial that elementary school teachers possess knowledge of the variety of different student conceptions and also boast abilities to…
1. 8th Street (east) facade and partial view of south ...
1. 8th Street (east) facade and partial view of south side. To the rear is the PMI Parking Garage and to the north is Lansburgh's Warehouse (410 8th Street,partial view). - 408 Eighth Street (Commercial Building), Washington, District of Columbia, DC
Evaluation of the Citizenship Consciousness of the 8th Year Students
ERIC Educational Resources Information Center
Tonga, Deniz; Keles, Hamza
2014-01-01
The prime purpose of this study is to elucidate the awareness level of citizenship of 8th year students. That was why the answer of the question "what is the level of citizenship consciousness of the 8th year students" was sought. The study was designed according to the descriptive survey method with the use of a scale with 7 open ended…
DG Poisson algebra and its universal enveloping algebra
NASA Astrophysics Data System (ADS)
Lü, JiaFeng; Wang, XingTing; Zhuang, GuangBin
2016-05-01
In this paper, we introduce the notions of differential graded (DG) Poisson algebra and DG Poisson module. Let $A$ be any DG Poisson algebra. We construct the universal enveloping algebra of $A$ explicitly, which is denoted by $A^{ue}$. We show that $A^{ue}$ has a natural DG algebra structure and it satisfies certain universal property. As a consequence of the universal property, it is proved that the category of DG Poisson modules over $A$ is isomorphic to the category of DG modules over $A^{ue}$. Furthermore, we prove that the notion of universal enveloping algebra $A^{ue}$ is well-behaved under opposite algebra and tensor product of DG Poisson algebras. Practical examples of DG Poisson algebras are given throughout the paper including those arising from differential geometry and homological algebra.
Bagby, Karen; Adams, Susan
2007-06-01
Because of the growing obesity epidemic across all age groups in the United States, interventions to increase physical activity and reduce sedentary behaviors have become a priority. Evidence is growing that interventions to increase physical activity and reduce sedentary behaviors have positive results and are generally inexpensive to implement. National and international health organizations are calling for a comprehensive approach for reducing obesity in children that includes increasing physical activity in the school setting. Although the call to increase activity levels in schools is clear, little guidance has been given to schools on specific methods to accomplish this task. This article provides an overview of an evidence-based guideline developed by a physical education teacher and a school nurse to provide inexpensive, easy-to-implement, effective strategies to increase physical activity in students. Tools are also included in the guideline to measure the effectiveness of the intervention. PMID:17536917
The Amazing Molecule Race: A WebQuest for 8th Grade Science
NASA Astrophysics Data System (ADS)
Soehl, Diana; Moats, S. J.; Langston, G. I.
2009-01-01
Did you ever wonder if life exists beyond Earth? The molecules that helped make up you and your friends are the same floating in outer space! The Race is ON to discover as many molecules in space as possible and to find the most important molecules for life: amino acids, DNA and RNA! As aspiring astronomers and astrobiologists, you will explore how these molecules are detected on Earth and in space. The `Search for Life’ is a pretty big task considering the size of the Universe. By learning how to find evidence of life forming molecules you will be able to provide conclusions that will shape policy regarding space missions, funding and technology development during your lifetime.
Why Singaporean 8th Grade Students Gain Highest Mathematics Ranking in TIMSS (1999-2011)
ERIC Educational Resources Information Center
Lessani, Abdolreza; Yunus, Aida Suraya Md; Tarmiz, Rohani Ahmad; Mahmud, Rosnaini
2014-01-01
The international comparison of students' mathematics knowledge and competencies is an effective method of evaluating students' mathematics performance and developing policies to improve their achievements in mathematics. Trends in International Mathematics and Science Study (TIMSS) are among the most well-recognized international comparisons that…
ERIC Educational Resources Information Center
Pittsburgh Board of Public Education, PA.
The curriculum guide outlines learning patterns which may be adapted or adopted by the creative teacher in occupational education. Emphasis is placed on processes basic to specific job activities found within the areas of: (1) business education, (2) home economics, and (3) industrial arts. Students are able to associate, integrate, and catalog…
Improving 8th Grades Spatial Thinking Abilities through a 3D Modeling Program
ERIC Educational Resources Information Center
Toptas, Veli; Celik, Serkan; Karaca, E. Tugce
2012-01-01
Implementation of emerging technology in sub disciplines of mathematics education provides a potential for educators to elaborate the capacity of digitized learning for human being. Spatial thinking is considered as a factor of scientific deduction from a multi disciplinary point of view. This paper reports a study aimed at exploring the effect of…
Friendly and Hostility Perception of 8th Grade Students about Countries
ERIC Educational Resources Information Center
Kaya, Beytullah
2015-01-01
The course contents taught in social sciences, revolution history and Kemalism at different stages of primary schools in Turkey form in learners political, social and economical behavioural patterm towards their neighbouring countries. The students try to form friendly or hostile behaviour against other countries. The study aims to determine what…
Teacher Turnover Impact on 1st-8th Grade Student Academic Achievement: A Correlational Study
ERIC Educational Resources Information Center
Reid, Johnnie M.
2010-01-01
The impact of schools and students not meeting academic achievement standards affects the community and the nation's future workforce. This paper examines many of the factors influencing achievement with special attention given to the facts of teacher turnover in the schools. Teacher turnover and the sad state of the academic achievement of…
The 8th and 9th Grades Students' Attitude towards Teaching and Learning Physics
ERIC Educational Resources Information Center
Stefan, Monica; Ciomos, Florentina
2010-01-01
The students' interest and attitude towards Physics have been the object of international testing, the most recent of which is the PISA testing from 2006. The students' attitude towards sciences is considered to be a significant predictor of their school results in science, respectively of pursuing a career in areas related to Science. The present…
Mississippi Curriculum Framework for Computer Discovery (8th Grade). CIP: 00.0252.
ERIC Educational Resources Information Center
Mississippi Research and Curriculum Unit for Vocational and Technical Education, State College.
This document, which is intended for technology educators in Mississippi, outlines a modular instruction approach that allows eighth graders to experience various workplace technologies within four career cluster areas: agriculture/natural resources technology, business/marketing technology, health/human services technology, and…
BMI change, fitness change and cardiometabolic risk factors among 8th grade youth
Technology Transfer Automated Retrieval System (TEKTRAN)
This paper examined whether a two-year change in fitness, body mass index (BMI) or the additive effect of change in fitness and BMI were associated with change in cardiometabolic risk factors among youth. Cardiometabolic risk factors, BMI group (normal weight, overweight or obese) were obtained from...
Probeware in 8th Grade Science: A Quasi-Experimental Study on Attitude and Achievement
NASA Astrophysics Data System (ADS)
Moyer, John F., III
The use of probeware in the delivery of science instruction has become quite widespread over the past few decades. The current emphasis on Science, Technology, Engineering, and Mathematics (STEM) education, especially in the case of underrepresented populations, seems to have accelerated the inclusion of probeware into curriculum. This quasi-experimental study sought to examine the effects of a direct replacement of traditional science tools with computer-based probeware on student achievement and student attitude toward science. Data analysis was conducted for large comparison groups and then for target STEM groups of African-American, low socioeconomic status, and female. Student achievement was measured by the Energy Concept Inventory and student attitude was measured by the Attitude Toward Science Inventory. The results showed that probeware did not have a significant effect on student achievement for almost all comparison groups. Analysis of student attitude toward science revealed that the use of probeware significantly affected overall student attitude as well as student attitude in several disaggregated subscales of attitude. These findings hold for both the comparison groups and the target STEM groups. Limitations of the study and suggestions for future research are presented.
ERIC Educational Resources Information Center
Bagby, Karen; Adams, Susan
2007-01-01
Because of the growing obesity epidemic across all age groups in the United States, interventions to increase physical activity and reduce sedentary behaviors have become a priority. Evidence is growing that interventions to increase physical activity and reduce sedentary behaviors have positive results and are generally inexpensive to implement.…
A Study of the 8th Grade Technology Literacy of a Michigan Charter School
ERIC Educational Resources Information Center
Spruill, James E.
2014-01-01
As states adopt the common core state standards and next generation assessments for the 2014-2015 school year, the importance of students' technology literacy will increase Smarter Balanced Assessment Consortium. The next generation assessments will require students to complete technology performance tasks. For the first time in mandatory testing,…
SWEETENED BEVERAGE SOURCES OF 7TH AND 8TH GRADE YOUTH
Technology Transfer Automated Retrieval System (TEKTRAN)
Purpose: Sweetened beverage (SB) consumption may impact energy balance and weight. For middle school youth, major SB sources include home, school snack bars and vending, and restaurants. Policies have attempted to reduce student access to SB in schools, and concerns about restaurant SB consumption h...
Authority and Authority Relations in Mathematics Education: A View from an 8th Grade Classroom
ERIC Educational Resources Information Center
Amit, Miriam; Fried, Michael N.
2005-01-01
Compared to studies in general education, authority has received little attention in mathematics education, despite an increasing interest in sociological perspectives in mathematics classroom research. The subject of authority is particularly important in mathematics education, on the one hand, because of the immense authority mathematics itself…
Charge It! Translating Electric Vehicle Research Results to Engage 7th and 8th Grade Girls
ERIC Educational Resources Information Center
Egbue, Ona; Long, Suzanna; Ng, Ean-Harn
2015-01-01
Despite attempts to generate interest in science and technology careers, US students continue to show reduced interest in science, technology, engineering and mathematics (STEM) majors at the collegiate level. If girls are not engaged in STEM learning by the middle school level, studies show that they are even less likely to choose a science- or…
NASA Astrophysics Data System (ADS)
Skrypnyk, T.
2016-09-01
We consider quantum integrable models based on the Lie algebra gl(n) and non-skew-symmetric classical r-matrices associated with Z 2-gradings of gl(n) of the following type: {gl}(n)={gl}{(n)}\\bar{0}+{gl}{(n)}\\bar{1}, where {gl}{(n)}\\bar{0}={gl}({n}1)\\oplus {gl}(n-{n}1). Among the considered models are Gaudin-type models with an external magnetic field, used in nuclear physics to produce proton–neutron Bardeen–Cooper–Schrieer-type models, n-level many-mode Jaynes–Cummings–Dicke-type models of quantum optics, matrix generalization of Bose–Hubbard dimers, etc. We diagonalize the constructed models by means of the ‘generalized’ nested Bethe ansatz.
Proceedings of the ASTM 8th international symposium zirconium in the nuclear industry
Van Swam, L.F.P.; Eucken, C.M.
1989-01-01
This book contains the proceedings of the ASTM 8th international symposium on zirconium in the nuclear industry. Topics covered include: Behavior of pressure tubes, Corrosion, Nodular corrosion, Basic metallurgy, and Creep and growth.
1. Entrance at corner of E Street (north) and 8th ...
1. Entrance at corner of E Street (north) and 8th Street (west). To the east along E Street is a small parking lot and then 800 E St. (Simon Oppenheimer & Brother). Adjacent to 8th Street facade of the 816 E Street is 437 9th Street. Both buildings were originally one property. - Riley Building, Sunny's Surplus, 816 E Street, Northwest, Washington, District of Columbia, DC
ERIC Educational Resources Information Center
Loveless, Tom
2008-01-01
This new study is being released as an advance excerpt of the 2008 Brown Center Report on American Education. This new report finds that the nation's push to challenge more students by placing them in advanced math classes in eighth grade has had unintended and damaging consequences, as some 120,000 middle-schoolers are now struggling in advanced…
ERIC Educational Resources Information Center
Brown, Irving A.; Davis, Trina J.; Kulm, Gerald
2011-01-01
This article presents our plans and initial work to explore how mathematics teacher education programs can prepare teachers for diverse middle grades classrooms. It describes the start-up of a five-year National Science Foundation project to design, develop, and test technology-enriched teacher preparation strategies to address equity in algebra…
PREFACE: 8th International Symposium of the Digital Earth (ISDE8)
NASA Astrophysics Data System (ADS)
2014-02-01
Proceedings of the 8th International Symposium of Digital Earth (8th ISDE) 2013 Kuching, Sarawak, Malaysia, 26th-29th August, 2013 Conference logo This proceedings consists of the peer-reviewed papers from 8th International Symposium for Digital Earth (ISDE) held in Kuching, Sarawak, Malaysia during 26th-29th August, 2013. The 8th ISDE was a successful event in the Symposium Series of the International Society of Digital Earth, that was previously held in China (1999), Canada (2001), Czech Republic (2003), Japan (2005), the United States (2007), China (2009), and Australia (2011). The 8th ISDE, with the theme 'Transforming Knowledge into Sustainable Practice' aims to enable digital earth scientists, experts and professionals related to the field of geospatial science and technology to provide a brand new opportunity to share their ideas and insights on how we share knowledge and act together globally. In addition, the ISDE symposium series has been providing a venue for researchers and industry practitioners to discuss new ideas, collaborate to solve complex solutions to various complex problems, and importantly, pave new ways in digital earth environment. This 8th ISDE included 20 technical sessions, workshops and student sessions in various areas of digital earth; ranging from digital earth vision & innovation; earth observation technologies; ICT technologies (including spatial data infrastructures); empowering the community and engaging society; applications and innovation of digital earth for environmental applications such as hazard, pollution, flood, air quality, disaster and health, biodiversity, sustainability, forestry, early warning and emergency management, national security, natural resource management and agriculture; mining, energy and resources development; transformation towards sustainable low carbon society; digital city and green cities: towards urban sustainability; and managing water environment for sustainable development. The success of the 8
Lie algebra of conformal Killing–Yano forms
NASA Astrophysics Data System (ADS)
Ertem, Ümit
2016-06-01
We provide a generalization of the Lie algebra of conformal Killing vector fields to conformal Killing–Yano forms. A new Lie bracket for conformal Killing–Yano forms that corresponds to slightly modified Schouten–Nijenhuis bracket of differential forms is proposed. We show that conformal Killing–Yano forms satisfy a graded Lie algebra in constant curvature manifolds. It is also proven that normal conformal Killing–Yano forms in Einstein manifolds also satisfy a graded Lie algebra. The constructed graded Lie algebras reduce to the graded Lie algebra of Killing–Yano forms and the Lie algebras of conformal Killing and Killing vector fields in special cases.
Development of a Scale to Explore Technology Literacy Skills of Turkish 8th Graders
ERIC Educational Resources Information Center
Misirli, Zeynel A.; Akbulut, Yavuz
2013-01-01
The use of emerging technologies shape learners' knowledge creation and transformation processes. In this regard, this study aimed to develop a scale to investigate 8 th graders' competencies regarding the educational technology standards based on ISTE-NETS. After a review of relevant literature, an item pool was prepared. The pool was improved…
ERIC Educational Resources Information Center
Yang, Der-Ching; Wu, Shin-Shin
2012-01-01
Two 12-question estimation instruments were designed to compare the differences of estimating strategies used by the 8th-graders when solving contextual and numerical problems. Both instruments are parallel, meaning that the numbers used in both instruments are the same; however, they were presented differently. One hundred and ninety-eight…
77 FR 9927 - Filing Dates for the Arizona Special Election in the 8th Congressional District
Federal Register 2010, 2011, 2012, 2013, 2014
2012-02-21
... From the Federal Register Online via the Government Publishing Office FEDERAL ELECTION COMMISSION Filing Dates for the Arizona Special Election in the 8th Congressional District AGENCY: Federal Election Commission. ACTION: Notice of filing dates for special election. SUMMARY: Arizona has scheduled elections...
A World Worth Living in ICAE 8th World Assembly Declaration (June 2011)
ERIC Educational Resources Information Center
Adult Learning, 2012
2012-01-01
This article presents the International Council of Adult Education (ICAE) 8th World Assembly Declaration (June 2011). This declaration focuses on adult educators' conviction in the possibility of a "world worth living in," and their declaration of their collective determination to work towards making it a reality all around the planet.
Impact of TI MathForward on Mathematics Achievement for General Mathematics and Algebra I Students
ERIC Educational Resources Information Center
Empirical Education Inc., 2009
2009-01-01
At Richardson Independent School District (RISD), 7th and 8th grade students who used TI MathForward achieved higher scores on the Texas Assessment of Knowledge and Skills (TAKS) Mathematics than similar 7th and 8th grade students who used other mathematics programs during previous years. This study found evidence that the strongest application of…
UCSMP Algebra. What Works Clearinghouse Intervention Report
ERIC Educational Resources Information Center
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…
Build an Early Foundation for Algebra Success
ERIC Educational Resources Information Center
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…
Higher level twisted Zhu algebras
Ekeren, Jethro van
2011-05-15
The study of twisted representations of graded vertex algebras is important for understanding orbifold models in conformal field theory. In this paper, we consider the general setup of a vertex algebra V, graded by {Gamma}/Z for some subgroup {Gamma} of R containing Z, and with a Hamiltonian operator H having real (but not necessarily integer) eigenvalues. We construct the directed system of twisted level p Zhu algebras Zhu{sub p,{Gamma}}(V), and we prove the following theorems: For each p, there is a bijection between the irreducible Zhu{sub p,{Gamma}}(V)-modules and the irreducible {Gamma}-twisted positive energy V-modules, and V is ({Gamma}, H)-rational if and only if all its Zhu algebras Zhu{sub p,{Gamma}}(V) are finite dimensional and semisimple. The main novelty is the removal of the assumption of integer eigenvalues for H. We provide an explicit description of the level p Zhu algebras of a universal enveloping vertex algebra, in particular of the Virasoro vertex algebra Vir{sup c} and the universal affine Kac-Moody vertex algebra V{sup k}(g) at non-critical level. We also compute the inverse limits of these directed systems of algebras.
Hernandez-Calderon, I.; Asomoza, R.
1997-01-01
These proceedings represent papers presented at the 8th Latin American Congress on Surface Science and its Applications. The wide spectrum of subjects covered included theoretical and experimental research in low dimensional systems, vacuum system design, biomaterial interfaces, surface magnetism, superconductivity, catalysis, adsorption, surface imaging, porous and amorphous materials, surface spectroscopies, electronic properties, and other topics. There were 131 papers presented and 26 have been abstracted for the Energy Science and Technology database.(AIP)
ERIC Educational Resources Information Center
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…
Mathematics achievement based on gender among eight grade school students in Jordan
NASA Astrophysics Data System (ADS)
Rabab'h, Belal Sadiq Hamed; Veloo, Arsaythamby; Perumal, Selvan
2015-05-01
The purpose of this study is to identify the differences in gender base on numbers, algebra, geometry and mathematics achievement among Jordanian 8th grade school students. The respondent of this study were 337 students from eight public secondary schools in Alkoura district and selected by using stratified random sampling. The study comprised of 179 (53%) males and 158 (47%) females students. The mathematics test comprises of 30 items which has eight items for numbers, 14 items for algebra and eight items for geometry. Finding from independent sample t-test shows that female student score higher than male students in numbers, algebra, mathematics achievement and spatial visualization. There is no significant difference in geometry base for gender. This study also indicates that numbers, algebra and mathematics achievement favorable to female and bias to male students. The main recommendations from this study are for teachers and other educational professionals to focus on the numbers and algebra for male students to improve the learning of mathematics, and feeding program through benefiting from tutorial classes to avoid of weakness in different aspects of mathematics achievement. Gender differences in mathematics in secondary school students in Jordan continue to exist and these differences may influence future educational and occupational pathways.
NASA Astrophysics Data System (ADS)
Roitman, Michael
2008-08-01
In this paper we prove that for any commutative (but in general non-associative) algebra A with an invariant symmetric non-degenerate bilinear form there is a graded vertex algebra V = V0 Å V2 Å V3 Å ¼, such that dim V0 = 1 and V2 contains A. We can choose V so that if A has a unit e, then 2e is the Virasoro element of V, and if G is a finite group of automorphisms of A, then G acts on V as well. In addition, the algebra V can be chosen with a non-degenerate invariant bilinear form, in which case it is simple.
Unlocking the wasting enigma: Highlights from the 8th Cachexia Conference
von Haehling, Stephan
2016-01-01
Abstract This article highlights pre‐clinical and clinical studies into the field of wasting disorders that were presented at the 8th Cachexia Conference held in Paris, France December 2015. This year some interesting results of clinical trials and different new therapeutic targets were shown. This article presents the biological and clinical significance of different markers and new drugs for the treatment of skeletal muscle wasting. Effective treatments of cachexia and wasting disorders are urgently needed in order to improve the patients' quality of life and their survival. PMID:27128291
Proceedings of the 8th Annual Summer Conference: NASA/USRA Advanced Design Program
NASA Technical Reports Server (NTRS)
1992-01-01
Papers presented at the 8th Annual Summer Conference are categorized as Space Projects and Aeronautics projects. Topics covered include: Systematic Propulsion Optimization Tools (SPOT), Assured Crew Return Vehicle Post Landing Configuration Design and Test, Autonomous Support for Microorganism Research in Space, Bioregenerative System Components for Microgravity, The Extended Mission Rover (EMR), Planetary Surface Exploration MESUR/Autonomous Lunar Rover, Automation of Closed Environments in Space for Human Comfort and Safety, Walking Robot Design, Extraterrestrial Surface Propulsion Systems, The Design of Four Hypersonic Reconnaissance Aircraft, Design of a Refueling Tanker Delivering Liquid Hydrogen, The Design of a Long-Range Megatransport Aircraft, and Solar Powered Multipurpose Remotely Powered Aircraft.
Unlocking the wasting enigma: Highlights from the 8th Cachexia Conference.
Ebner, Nicole; von Haehling, Stephan
2016-03-01
This article highlights pre-clinical and clinical studies into the field of wasting disorders that were presented at the 8th Cachexia Conference held in Paris, France December 2015. This year some interesting results of clinical trials and different new therapeutic targets were shown. This article presents the biological and clinical significance of different markers and new drugs for the treatment of skeletal muscle wasting. Effective treatments of cachexia and wasting disorders are urgently needed in order to improve the patients' quality of life and their survival. PMID:27128291
Conference summary & recent advances: The 8th Conference on Metal Toxicity and Carcinogenesis
Zhou, Xixi; Burchiel, Scott W.; Hudson, Laurie G.; Liu, Ke Jian
2015-01-01
Diseases caused by occupational and environmental exposure to metals are a public health concern. The underlying molecular mechanisms of metal toxicity and carcinogenicity remain largely unknown. Over 130 scientists attended the 8th Conference on Metal Toxicity and Carcinogenesis, presenting their various research concerns and recent findings to stimulate interactions and collaborations among scientists in the field. Several major areas were emphasized, including human & population studies, molecular & cellular mechanisms, biological targets, epigenetic effects, metabolism, and metal mixtures. Here we summarize presentations at the conference sessions and highlight the attendees’ latest work published in this special issue of Biological Trace Element Research. PMID:25975949
NASA Astrophysics Data System (ADS)
Sadeghi, Nader; Czarnetzki, Uwe
2010-03-01
The 8th Workshop on Frontiers in Low Temperature Plasma Diagnostics (FLTPD) was held in Blansko, near Brno, Czech Republic. FLTPD is a biennial European event in which scientists working on low temperature plasmas present their recent results, pointing out in particular the originality of the diagnostic techniques used. The idea of starting this series of workshops was born out of a discussion between Frieder Döbele, Bill Graham and one of us when travelling together from Bar Harbor, USA (after the 6th LAPD) to Montreal, Canada, in October 1993. It became evident that we had been lacking a European meeting that could bring together experts in the field of low temperature plasma diagnostics and facilitate sharing the knowledge of these diagnostics with a new generation of scientists. The first FLTPD was held in Les Houches, France, in February 1995. Since then it has been held in the spring of every other year in different European countries, as shown below. The next meeting will be held in Zinnowitz, near Greifswald, Germany, in May 2011. Year Location Chair of LOC 1995 Les Houches, France J Derouard 1997 Bad Honnef, Germany F Döbele 1999 Saillon, Switzerland Ch Hollenstein 2001 Rolduc, The Netherlands R van de Sanden 2003 Specchia, Italy S De Benedictis 2005 Les Houches, France N Sadeghi 2007 Cumbria, United Kingdom M Bowden 2009 Blansko, Czech Republic F Krčma To favour brainstorming and extended discussions between participants, FLTPD meetings have always been organized in isolated locations with the number of attendees limited to about 70. Workshops are held over three and a half days with about ten expert presentations by invited speakers (a few from overseas), as well as short oral or poster contributions. This special issue of Journal of Physics D: Applied Physics contains 20 articles representative of contributions to the last FLTPD in Blansko. All invited speakers and others who gave presentations, as selected by the Scientific Committee, were invited
ERIC Educational Resources Information Center
Schaufele, Christopher; Zumoff, Nancy
Earth Algebra is an entry level college algebra course that incorporates the spirit of the National Council of Teachers of Mathematics (NCTM) Curriculum and Evaluation Standards for School Mathematics at the college level. The context of the course places mathematics at the center of one of the major current concerns of the world. Through…
ERIC Educational Resources Information Center
Cavanagh, Sean
2009-01-01
As educators and policymakers search for ways to prepare students for the rigors of algebra, teachers in the Helena, Montana, school system are starting early by attempting to nurture students' algebraic-reasoning ability, as well as their basic number skills, in early elementary school, rather than waiting until middle or early high school.…
Classification of central extensions of Lax operator algebras
Schlichenmaier, Martin
2008-11-18
Lax operator algebras were introduced by Krichever and Sheinman as further developments of Krichever's theory of Lax operators on algebraic curves. They are infinite dimensional Lie algebras of current type with meromorphic objects on compact Riemann surfaces (resp. algebraic curves) as elements. Here we report on joint work with Oleg Sheinman on the classification of their almost-graded central extensions. It turns out that in case that the finite-dimensional Lie algebra on which the Lax operator algebra is based on is simple there is a unique almost-graded central extension up to equivalence and rescaling of the central element.
Loop Virasoro Lie conformal algebra
Wu, Henan Chen, Qiufan; Yue, Xiaoqing
2014-01-15
The Lie conformal algebra of loop Virasoro algebra, denoted by CW, is introduced in this paper. Explicitly, CW is a Lie conformal algebra with C[∂]-basis (L{sub i} | i∈Z) and λ-brackets [L{sub i} {sub λ} L{sub j}] = (−∂−2λ)L{sub i+j}. Then conformal derivations of CW are determined. Finally, rank one conformal modules and Z-graded free intermediate series modules over CW are classified.
Amasino, Rick
2013-03-01
Rick Amasino of the University of Wisconsin on "Regulation of Flowering in Brachypodium distachyon" at the 8th Annual Genomics of Energy & Environment Meeting on March 27, 2013 in Walnut Creek, Calif.
Schadt, Christopher
2013-03-01
Christopher Schadt of Oak Ridge National Laboratory on "Plant-Microbe Interactions" in the context of poplar trees at the 8th Annual Genomics of Energy & Environment Meeting on March 27, 2013 held in Walnut Creek, Calif.
Lau, Jane
2013-03-01
Jane Lau of the Joint BioEnergy Institute on "Improving biofuel feedstocks by modifying xylan biosynthesis" at the 8th Annual Genomics of Energy & Environment Meeting on March 28, 2013 in Walnut Creek, Calif.
Bermingham, Eldredge
2013-03-27
Eldredge Bermingham of the Smithsonian Tropical Research Institute-Panama on "Genomics of climate resilience" at the 8th Annual Genomics of Energy & Environment Meeting on March 27, 2013 in Walnut Creek, Calif.
PREFACE: 8th Asian International Seminar on Atomic and Molecular Physics (AISAMP)
NASA Astrophysics Data System (ADS)
Williams, Jim F.; Buckman, Steve; Bieske, Evan J.
2009-09-01
These proceedings arose from the 8th Asian International Seminar on Atomic and Molecular Physics (AISAMP) which was held at the University of Western Australia 24-28 November 2008. The history of AISAMP (Takayanagi and Matsuzawa 2002) recognizes its origin from the Japan-China meeting of 1985, and the first use of the name 'The First Asian International Seminar on Atomic and Molecular Physics (AISAMP)' in 1992. The initial attendees, Japan and China, were joined subsequently by scientists from Korea, Taiwan, India, Australia and recently by Malaysia, Thailand, Vietnam, Turkey Iran, UK and USA. The main purpose of the biennial AISAMP series is to create a wide forum for exchanging ideas and information among atomic and molecular scientists and to promote international collaboration. The scope of the AISAMP8 meeting included pure, strategic and applied research involving atomic and molecular structure and processes in all forms of matter and antimatter. For 2008 the AISAMP conference incorporated the Australian Atomic and Molecular Physics and Quantum Chemistry meeting. The topics for AISAMP8 embraced themes from earlier AISAMP meetings and reflected new interests, in atomic and molecular structures, spectroscopy and collisions; atomic and molecular physics with laser or synchrotron radiation; quantum information processing using atoms and molecules; atoms and molecules in surface physics, nanotechnology, biophysics, atmospheric physics and other interdisciplinary studies. The implementation of the AISAMP themes, as well as the international representation of research interests, is indicated both in the contents list of these published manuscripts as well as in the program for the meeting. Altogether, 184 presentations were made at the 8th AISAMP, including Invited Talks and Contributed Poster Presentations, of which 60 appear in the present Proceedings after review by expert referees in accordance with the usual practice of Journal of Physics: Conference Series of
Ternary generalization of Heisenberg's algebra
NASA Astrophysics Data System (ADS)
Kerner, Richard
2015-06-01
A concise study of ternary and cubic algebras with Z3 grading is presented. We discuss some underlying ideas leading to the conclusion that the discrete symmetry group of permutations of three objects, S3, and its abelian subgroup Z3 may play an important role in quantum physics. We show then how most of important algebras with Z2 grading can be generalized with ternary composition laws combined with a Z3 grading. We investigate in particular a ternary, Z3-graded generalization of the Heisenberg algebra. It turns out that introducing a non-trivial cubic root of unity, , one can define two types of creation operators instead of one, accompanying the usual annihilation operator. The two creation operators are non-hermitian, but they are mutually conjugate. Together, the three operators form a ternary algebra, and some of their cubic combinations generate the usual Heisenberg algebra. An analogue of Hamiltonian operator is constructed by analogy with the usual harmonic oscillator, and some properties of its eigenfunctions are briefly discussed.
ERIC Educational Resources Information Center
Cavalluzzo, Linda; Lowther, Deborah L.; Mokher, Christine; Fan, Xitao
2012-01-01
The 2006-11 Regional Educational Laboratory Appalachia at CNA conducted a rigorous evaluation of the Kentucky Virtual Schools hybrid algebra I curriculum. The curriculum combines traditional face-to-face instruction with an online program. This study used a two-cohort sample with 25 high schools in year 1 (SY 07/08: 13 treatment and 12 control)…
News and views from the 8th annual meeting of the Italian Society of Virology.
Sartori, Elena; Salata, Cristiano; Calistri, Arianna; Palù, Giorgio; Parolin, Cristina
2009-06-01
The 8th annual meeting of the Italian Society of Virology (SIV) took place in Orvieto, Italy from the 21st to the 23rd of September 2008. The meeting covered different areas of Virology and the scientific sessions focused on: general virology and viral genetics; viral oncology, virus-host interaction and pathogenesis; emerging viruses and zoonotic, foodborne and environmental pathways of transmission; viral immunology and vaccines; viral biotechnologies and gene therapy; medical virology and antiviral therapy. The meeting had an attendance of about 160 virologists from all Italy. In this edition, a satellite workshop on "Viral biotechnologies" was organized in order to promote the role of virologists in the biotechnological research and teaching fields. A summary of the plenary lectures and oral selected presentations is reported. J. Cell. Physiol. 219: 797-799, 2009. (c) 2009 Wiley-Liss, Inc. PMID:19235903
ERIC Educational Resources Information Center
Hacieminoglu, Esme; Ali, Mohamed Moustafa; Oztas, Fulya; Yager, Robert E.
2016-01-01
The purpose of this study is to compare changes in attitudes of students about their study of biology in the classes thought by five biology teachers who experienced an Iowa Chautauqua workshop with and two non-Chautauqua teachers who had no experience with any professional development program. The results indicated that there are significant…
ERIC Educational Resources Information Center
Arkansas State Univ., State University.
This curriculum package contains materials for teaching the career orientation course in the junior high schools of Arkansas. Following the introduction, which describes the course and provides a rationale for it, along with instructions to teachers for conducting the course, the package is divided into 35 units organized under five major…
The Feasibility of Using Computer and Internet in Teaching Family Education for the 8th Grade Class
ERIC Educational Resources Information Center
Alluhaydan, Nuwayyir Saleh F.
2016-01-01
This paper is just a sample template for the prospective authors of IISTE. Over the decades, the concepts of holons and holonic systems have been adopted in many research fields, but they are scarcely attempted on labour planning. A literature gap exists, thus motivating the author to come up with a holonic model that uses exponential smoothing to…
ERIC Educational Resources Information Center
Hemphill, David C.
2011-01-01
The first pretest-posttest hypothesis was tested using the dependent t test. Null hypotheses for test score improvement over time were rejected for the end of fifth-grade pretest compared to ending sixth-grade posttest math Essential Learner Outcome scores converted to standard scores for randomly selected sixth-grade girls meeting measured test…
Should College Algebra be a Prerequisite for Taking Psychology Statistics?
ERIC Educational Resources Information Center
Sibulkin, Amy E.; Butler, J. S.
2008-01-01
In order to consider whether a course in college algebra should be a prerequisite for taking psychology statistics, we recorded students' grades in elementary psychology statistics and in college algebra at a 4-year university. Students who earned credit in algebra prior to enrolling in statistics for the first time had a significantly higher mean…
The Mistakes and the Misconceptions of the Eighth Grade Students on the Subject of Angles
ERIC Educational Resources Information Center
Biber, Çagri; Tuna, Abdulkadir; Korkmaz, Samet
2013-01-01
The purpose of this study was to determine the learning levels, mistakes, and misconceptions of the 8th grade students on the subject of "angles in geometry" as well as the possible reasons for these situations. Research sample consisted of 30 students attending the 8th grade of a middle school located in the central district of a…
ERIC Educational Resources Information Center
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…
8(th) Annual European Antibody Congress 2012: November 27-28, 2012, Geneva, Switzerland.
Beck, Alain; Carter, Paul J; Gerber, Hans-Peter; Lugovskoy, Alexey A; Wurch, Thierry; Junutula, Jagath R; Kontermann, Roland E; Mabry, Robert
2013-01-01
The 8th European Antibody Congress (EAC), organized by Terrapin Ltd., was again held in Geneva, Switzerland, following on the tradition established with the 4th EAC. The new agenda format for 2012 included three parallel tracks on: (1) naked antibodies; (2) antibody drug conjugates (ADCs); and (3) bispecific antibodies and alternative scaffolds. The meeting started and closed with three plenary lectures to give common background and to share the final panel discussion and conclusions. The two day event included case studies and networking for nearly 250 delegates who learned of the latest advances and trends in the global development of antibody-based therapeutics. The monoclonal antibody track was focused on understanding the structure-function relationships, optimization of antibody design and developability, and processes that allow better therapeutic candidates to move through the clinic. Discussions on novel target identification and validation were also included. The ADC track was dedicated to evaluation of the ongoing success of the established ADC formats alongside the rise of the next generation drug-conjugates. The bispecific and alternative scaffold track was focused on taking stock of the multitude of bispecific formats being investigated and gaining insight into recent innovations and advancements. Mechanistic understanding, progression into the clinic and the exploration of multispecifics, redirected T cell killing and alternative scaffolds were extensively discussed. In total, nearly 50 speakers provided updates of programs related to antibody research and development on-going in the academic, government and commercial sectors. PMID:23493119
PREFACE: 8th International Conference on Advanced Infocomm Technology (ICAIT 2015)
NASA Astrophysics Data System (ADS)
Qiu, M.; Zhao, W.; Shum, P. Ping
2016-02-01
The 2015 IEEE 8th International Conference on Advanced Infocomm Technology (ICAIT 2015) was held in Hangzhou, China, during 25-27, October 2015, following the successes of previous events held in Shenzhan, Xi'an, Haikou, Wuhan, Paris, Hsinchu, and Fuzhou. This year the ICAIT 2015 aimed to bring together researchers, developers, and users in both industry and academia in the world for sharing state-of-art results, for exploring new areas of research and development, and to discuss emerging issues on advanced infocomm technology. The conference was hosted by Zhejiang University and China Satellite Maritime Tracking and Control Department. It was organized by the State Ley Laboratory of Modern Optical Instrumentation of Zhejiang University, in collaboration with the Joint International Research Laboratory of Photonics of Zhejiang University. More than 150 international participants from 9 foreign countries attended the conference. The ICAIT 2015 was featured with 4 plenary lectures (by Xiaoyi Bao, Benjamin J. Eggleton, Min Gu, and Chinlon Lin, respectively), and 40 invited talks, in which a wide range of topics were covered and the most recent significant results were presented. Including oral and poster presentations, 138 abstracts were presented in the conference, some of which were selected to publish in full papers in this edition of Journal of Physics: Conference Series. With the excellent quality of the presentations, the ICAIT 2015 was a success. We also wish to thank the sponsors of the conference, and particularly the technical program committee and the local organizing committee.
Azadi, Paratoo
2015-09-24
The Complex Carbohydrate Research Center (CCRC) of the University of Georgia holds a symposium yearly that highlights a broad range of carbohydrate research topics. The 8th Annual Georgia Glycoscience Symposium entitled “Integrating Models of Plant Cell Wall Structure, Biosynthesis and Assembly” was held on April 7, 2014 at the CCRC. The focus of symposium was on the role of glycans in plant cell wall structure and synthesis. The goal was to have world leaders in conjunction with graduate students, postdoctoral fellows and research scientists to propose the newest plant cell wall models. The symposium program closely followed the DOE’s mission and was specifically designed to highlight chemical and biochemical structures and processes important for the formation and modification of renewable plant cell walls which serve as the basis for biomaterial and biofuels. The symposium was attended by both senior investigators in the field as well as students including a total attendance of 103, which included 80 faculty/research scientists, 11 graduate students and 12 Postdoctoral students.
ERIC Educational Resources Information Center
Oishi, Lindsay
2011-01-01
"Solve for x." While many people first encountered this enigmatic instruction in high school, the last 20 years have seen a strong push to get students to take algebra in eighth grade or even before. Today, concerns about the economy highlight a familiar worry: American eighth-graders trailed their peers in five Asian countries on the 2007 TIMSS…
Does Grading Affect Educational Attainment? A Longitudinal Study
ERIC Educational Resources Information Center
Klapp, Alli
2015-01-01
The purpose of the study was to investigate how grading in primary school affected students' achievement measured by grades in 7th, 8th and 9th Grade and educational attainment in upper secondary school (12th Grade), and how the effect varied as a function of students' cognitive ability, gender and socio-economic status. The data derived from the…
Contractions of affine Kac-Moody algebras
NASA Astrophysics Data System (ADS)
Daboul, J.; Daboul, C.; de Montigny, M.
2008-08-01
I review our recent work on contractions of affine Kac-Moody algebras (KMA) and present new results. We study generalized contractions of KMA with respect to their twisted and untwisted KM subalgebras. As a concrete example, we discuss contraction of D(1)4 and D(3)4, based on Z3-grading. We also describe examples of 'level-dependent' contractions, which are based on Z-gradings of KMA. Our work generalizes the Inönü-Wigner contraction of P. Majumdar in several directions. We also give an algorithm for constructing Kac-Moody-like algebras hat g for any Lie algebra g.
Algebraic Apect of Helicities in Hadron Physics
NASA Astrophysics Data System (ADS)
An, Murat; Ji, Chueng
2015-04-01
We examined the relation of polarization vectors and spinors of (1 , 0) ⊕(0 , 1) representation of Lorentz group in Clifford algebra Cl1 , 3 , their relation with standard algebra, and properties of these spinors. Cl1 , 3 consists of different grades:e.g. the first and the second grades represent (1 / 2 , 1 / 2) and (1 , 0) ⊕(0 , 1) representation of spin groups respectively with 4 and 6 components. However, these Clifford numbers are not the helicity eigenstates and thus we transform them into combinations of helicity eigenstates by expressing them as spherical harmonics. We relate the spin-one polarization vectors and (1 , 0) ⊕(0 , 1) spinors under one simple transformation with the spin operators. We also link our work with Winnberg's work of a superfield of a spinors of Clifford algebra by giving a physical meaning to Grassmann variables and discuss how Grassman algebra is linked with Clifford algebra.
I CAN Learn[R] Pre-Algebra and Algebra. What Works Clearinghouse Intervention Report
ERIC Educational Resources Information Center
What Works Clearinghouse, 2009
2009-01-01
The I CAN Learn[R] Education System is an interactive, self-paced, mastery-based software system that includes the I CAN Learn[R] Fundamentals of Math (5th-6th grade math) curriculum, the I CAN Learn[R] Pre-Algebra curriculum, and the I CAN Learn[R] Algebra curriculum. College algebra credit is also available to students in participating schools…
Pay-Offs from Expanding Summer Credit Recovery in Algebra
ERIC Educational Resources Information Center
Allensworth, Elaine; Nomi, Takako; Heppen, Jessica
2013-01-01
The consequences of failing core academic courses during the first year are dire. In Chicago, over a quarter of students fail at least one semester of algebra in their ninth grade year, and only 13% of students who fail both semesters of Algebra I in ninth grade graduate in 4 years. Offering credit recovery options is one strategy to deal with…
Effects of Expanding Summer Credit Recovery in Algebra
ERIC Educational Resources Information Center
Allensworth, Elaine; Michelman, Valerie; Nomi, Takako; Heppen, Jessica
2014-01-01
In Chicago, over a quarter of students fail at least one semester of algebra in their ninth grade year, and only 13% of students who fail both semesters of Algebra I in ninth grade graduate in 4 years. Offering credit recovery options is one strategy to deal with high failure rates. The primary goal of credit recovery programs is to give students…
Relational Thinking: Learning Arithmetic in Order to Promote Algebraic Thinking
ERIC Educational Resources Information Center
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…
PREFACE: The 8th China International NanoScience and Technology Symposium
NASA Astrophysics Data System (ADS)
Cong, Hailin
2009-09-01
The 8th China International NanoScience and Technology Symposium, Xiangtan (2009) - Nano-products Exposition, sponsored by Chinese Society of Miro-nanoTechnology and IEEE Nanotechnology Council, etc will be held on 23-27 October 2009 in Xiangtan, China. This symposium is held in order to promote the technology for the development of micro- and nano-scale, cross-scale integration, to share new micro/nano technologies, to exchange information and knowledge over all fields and promote the industrialization and development of nanotechnology. This is a leading professional and traditional conference with at least 400 participants every year. Famous experts, professors and government officials at home and abroad will give lectures during the symposium, which provides a good platform for delegates to discover the latest developments and dynamics of nanotechnology. Researchers, teachers and students in colleges, and technical personnel in the industrial community are welcome to contribute and actively participate in the symposium. In our last symposium held in 2008, over 600 participants from all over the world attended, and we received over 570 abstract and paper submissions for the proceedings published in different languages in famous professional journals. And this year, we have already received over 400 submissions. After strict peer review, 60 of them are published in this volume of Journal of Physics: Conference Series. We are confident that the event will be even more successful this year. Consequently, the organizing committee and proceedings editorial committee would like to thank our colleagues at the IOP Publishing, the invited speakers, our sponsors and all the delegates for their great contributions in this conference. Hailin Cong Vice Chair of the proceedings editorial committee
Lax operator algebras and integrable systems
NASA Astrophysics Data System (ADS)
Sheinman, O. K.
2016-02-01
A new class of infinite-dimensional Lie algebras, called Lax operator algebras, is presented, along with a related unifying approach to finite-dimensional integrable systems with a spectral parameter on a Riemann surface such as the Calogero-Moser and Hitchin systems. In particular, the approach includes (non-twisted) Kac-Moody algebras and integrable systems with a rational spectral parameter. The presentation is based on quite simple ideas about the use of gradings of semisimple Lie algebras and their interaction with the Riemann-Roch theorem. The basic properties of Lax operator algebras and the basic facts about the theory of the integrable systems in question are treated (and proved) from this general point of view. In particular, the existence of commutative hierarchies and their Hamiltonian properties are considered. The paper concludes with an application of Lax operator algebras to prequantization of finite-dimensional integrable systems. Bibliography: 51 titles.
Spontaneous Meta-Arithmetic as a First Step toward School Algebra
ERIC Educational Resources Information Center
Caspi, Shai; Sfard, Anna
2012-01-01
Taking as the point of departure the vision of school algebra as a formalized meta-discourse of arithmetic, we have been following five pairs of 7th grade students as they progress in algebraic discourse during 24 months, from their informal algebraic talk to the formal algebraic discourse, as taught in school. Our analysis follows changes that…
ERIC Educational Resources Information Center
Baudino, Frank, Ed.; Ury, Connie Jo, Ed.; Park, Sarah G., Ed.
2008-01-01
Eighteen scholarly papers and eighteen abstracts comprise the content of the 8th "Brick and Click Libraries Symposium," held annually at Northwest Missouri State University in Maryville, Missouri. The proceedings, authored by academic librarians and presented at the symposium, portray the contemporary and future face of librarianship. Many of the…
ERIC Educational Resources Information Center
Santos, Olga Cristina, Ed.; Boticario, Jesus Gonzalez, Ed.; Romero, Cristobal, Ed.; Pechenizkiy, Mykola, Ed.; Merceron, Agathe, Ed.; Mitros, Piotr, Ed.; Luna, Jose Maria, Ed.; Mihaescu, Cristian, Ed.; Moreno, Pablo, Ed.; Hershkovitz, Arnon, Ed.; Ventura, Sebastian, Ed.; Desmarais, Michel, Ed.
2015-01-01
The 8th International Conference on Educational Data Mining (EDM 2015) is held under auspices of the International Educational Data Mining Society at UNED, the National University for Distance Education in Spain. The conference held in Madrid, Spain, July 26-29, 2015, follows the seven previous editions (London 2014, Memphis 2013, Chania 2012,…
ERIC Educational Resources Information Center
Acar, Ömer; Türkmen, Lütfullah; Bilgin, Ahmet
2015-01-01
We examined the influence of several students' cognitive and motivational factors on 8th graders' science achievement and also gender differences on factors that significantly contribute to the science achievement model. A total of 99 girls and 83 boys responded all the instruments used in this study. Results showed that girls outperformed boys on…
ERIC Educational Resources Information Center
Browne, Jeffrey C.; Dickman, Anneliese M.; Schmidt, Jeffrey K.; Bartholin, Philippe
2006-01-01
This is the 8th annual report on conditions affecting the Racine Unified School District RUSD). Each study has confirmed that the Racine Unified School District (RUSD) faces greater challenges than its peers. Although these challenges have led Racine to spend slightly above the average amount per pupil, district performance tends to be below…
PREFACE: 8th Ibero-American Congress on Sensors (IBERSENSOR 2012)
NASA Astrophysics Data System (ADS)
Ramos, Idalia; Santiago-Avilés, Jorge J.
2013-03-01
The 8th Ibero-American Congress on Sensors (IBERSENSOR 2012) was held in Carolina, Puerto Rico on 16-19 October 2012. IBERSENSOR is a forum of the Spanish and Portuguese speaking scientific community, working in the fields of sensors of every possible kind and their applications. Previous conferences in the series were successfully carried out in La Habana, Cuba (1998); Buenos Aires, Argentina (2000); Lima, Perú (2002); Puebla, México (2004); Montevideo, Uruguay (2006); Sao Paulo, Brasil (2008) and Lisboa, Portugal (2010). IBERSENSOR 2012 participants included researchers from eleven countries in the Americas and Europe, in particular young men and women. The conference was organized and sponsored by the Partnership for Research and Education in Materials (NSF-DMR-0934195) a collaborative program between the University of Puerto Rico at Humacao (UPRH) and the University of Pennsylvania (PENN) Materials Research Science and Engineering Center, sponsored by the USA National Science Foundation (NSF). Other sponsors included the Center for Advanced Nanoscale Materials of the University of Puerto Rico at Río Piedras and the Nano/Bio Interface Center (NBIC) at PENN. The Proceedings of IBERSENSOR 2012 include a selection of 21 research papers in the areas of Materials and Processes for Sensor Development, Nano-Sensors, Chemical Sensors, Mechanical Sensors, Optical Sensors, Wireless Sensors, Sensor signal conditioning and Instrumentation, Microfluidic Devices, and Biomedical and Environmental Applications. Editors Idalia Ramos University of Puerto Rico at Humacao, Puerto Rico Jorge J Santiago-Avilés University of Pennsylvania, USA Group photograph Logos Ibero-American Congress on Sensors Ibero-American Congress on Sensors (Ibersensor) Main Sponsors PENN-UPRH-PREM Partnership for Research and Education in Materials (PENN-UPRH-PREM) University of Puerto Rico at Humacao USA National Science Foundation USA National Science Foundation Other Sponsors Center for Advanced
Trinitis, C; Bader, M; Schulz, M
2009-06-09
In today's world, the use of parallel programming and architectures is essential for simulating practical problems in engineering and related disciplines. Significant progress in CPU architecture (multi- and many-core CPUs, SMT, transactional memory, virtualization support, shared caches etc.) system scalability, and interconnect technology, continues to provide new opportunities, as well as new challenges for both system architects and software developers. These trends are paralleled by progress in algorithms, simulation techniques, and software integration from multiple disciplines. In its 8th year, ParSim continues to build a bridge between application disciplines and computer science and to help fostering closer cooperations between these fields. Since its successful introduction in 2002, ParSim has established itself as an integral part of the EuroPVM/MPI conference series. In contrast to traditional conferences, emphasis is put on the presentation of up-to-date results with a short turn-around time. We believe that this offers a unique opportunity to present new aspects in this dynamic field and discuss them with a wide, interdisciplinary audience. The EuroPVM/MPI conference series, as one of the prime events in parallel computation, serves as an ideal surrounding for ParSim. This combination enables participants to present and discuss their work within the scope of both the session and the host conference. This year, five papers from authors in five countries were submitted to Par-Sim, and we selected three of them. They cover a range of different application fields including mechanical engineering, material science, and structural engineering simulations. We are confident that this resulted in an attractive special session and that this will be an informal setting for lively discussions as well as for fostering new collaborations. Several people contributed to this event. Thanks go to Jack Dongarra, the EuroPVM/MPI general chair, and to Jan Westerholm, Juha
PREFACE: SQM2004 The 8th International Conference on Strangeness in Quark Matter
NASA Astrophysics Data System (ADS)
Cleymans, Jean; Steinberg, Peter; Vilakazi, Zeblon
2005-06-01
The 8th International Conference on Strangeness in Quark Matter (SQM2004) was held at at the Breakwater Lodge, which is part of the Graduate School of Business of the University of Cape Town. The architecture of the Breakwater Lodge is a stark reminder of the fact that its original purpose was to serve as a municipal jail. It appears that the spectacular background of Table Mountain and the V&A Waterfront and an excellent set of speakers were sufficient to keep the lecture rooms full to capacity, despite the numerous temptations of Cape Town. This is the first time a major heavy ion conference has been held in South Africa, and the timing is fortuitous, with a long-delayed MoU between South Africa and CERN at last being signed and finalized. At last, funding is being made available for South African scientists to play a meaningful role and make contributions to the international effort in heavy ion physics. Despite the substantial distance from the major cities in the northern hemisphere, the conference was very well attended and the number of participants was about 50% larger than originally anticipated. Participants came from China, India, Japan, the United States, Brazil and many European countries. We would like to thank all of the SQM2004 participants for their efforts and, in particlular, all of the plenary and parallel speakers for their hard work in making this conference such a success. Of course, even more thanks go to all the chairpersons of the various sessions who struggled to keep the conference program on the (admittedly tight) schedule. For future conferences, we recommend keeping a bell handy! Photograph Participants gather on the UCT campus with Table Mountain in the backgound. We would like to thank Professor Tony Fairall for a most entertaining after-dinner talk about all that is unusual and fascinating about the southern hemisphere. It could not be emphasized enough that the daily working of the meeting would have ground to a halt without the
Wiki Technology for Middle Grade Students
ERIC Educational Resources Information Center
Harper, Debra Ann
2012-01-01
The purpose of this qualitative exploratory case study was to determine the pedagogical value of Wiki technology-enhanced instruction for middle grade students. The sample consisted of three Wiki projects representative of work from 6th, 7th, and 8th grade middle school students. The examination of the data collected from the three samples of Wiki…
PREFACE: 8th International Conference on Fine Particle Magnetism (ICFPM2013)
NASA Astrophysics Data System (ADS)
2014-06-01
The 8th International Conference on Fine Particle Magnetism (ICFPM) was held in Perpignan from 24 to 27 June 2013, and was the continuation of the previous meetings held in Bangor (1996), Rome (1991), Barcelona (1999), Pittsburg (2002), London (2004), Rome (2007) and Uppsala (2010). The next meeting will be organized by Profs. Robert D. Shull, George Hadjipanayis and Cindi Dennis, in 2016 at NIST, Gaithersburg (USA). ICFPM is a small-sized conference focused on the magnetism of nanoparticles. It provides an international forum for discussing the state-of-the-art understanding of physics of these systems, of their properties and the underlying phenomena, as approached from a variety of directions: theory and modelling, experiments on well characterized or model systems (both fabricated and synthetised), as well as experiments on technologically-relevant non-ideal systems. This meeting brought together about 120 participants working on experimental, theoretical and applied topics of the multidisciplinary research areas covered by magnetic nanoparticles, with focused interest on either single-particle or collective phenomena. The technical program of the conference was based on keynote conferences, invited talks, oral contributions and poster sessions, covering the following aspects: . Fabrication, synthesis, characterization . Single particle, surface and finite-size effects on magnetic properties . Magnetization dynamics, micro-wave assisted switching, dynamical coupling . Assemblies, collective effects, self-assembling and nanostructuring . Applications : hyperthermia, drug delivery, magneto-caloric, magneto-resistance, magneto-plasmonics, magnetic particle imaging This ICFPM edition was organized by the group Nanoscale Spin Systems of the laboratory PROMES of the CNRS (UPR8521), and Université de Perpignan Via Domitia. The meeting took place at the Congress Center of the city of Perpignan providing high-quality facilities for the technical program as well for the
Determining Faculty Grading Variation.
ERIC Educational Resources Information Center
Demerjian, Marlene D.
A study was undertaken at the College of the Canyons, in California, to assess the variation of grades given by mathematics instructors teaching intermediate algebra. A sample was drawn from all instructors who taught Math 070 repeatedly from fall 1990 to fall 1994, resulting in the examination of the grades of at least 200 students from classes…
Algebraic Lattices in QFT Renormalization
NASA Astrophysics Data System (ADS)
Borinsky, Michael
2016-04-01
The structure of overlapping subdivergences, which appear in the perturbative expansions of quantum field theory, is analyzed using algebraic lattice theory. It is shown that for specific QFTs the sets of subdivergences of Feynman diagrams form algebraic lattices. This class of QFTs includes the standard model. In kinematic renormalization schemes, in which tadpole diagrams vanish, these lattices are semimodular. This implies that the Hopf algebra of Feynman diagrams is graded by the coradical degree or equivalently that every maximal forest has the same length in the scope of BPHZ renormalization. As an application of this framework, a formula for the counter terms in zero-dimensional QFT is given together with some examples of the enumeration of primitive or skeleton diagrams.
Algebraic Lattices in QFT Renormalization
NASA Astrophysics Data System (ADS)
Borinsky, Michael
2016-07-01
The structure of overlapping subdivergences, which appear in the perturbative expansions of quantum field theory, is analyzed using algebraic lattice theory. It is shown that for specific QFTs the sets of subdivergences of Feynman diagrams form algebraic lattices. This class of QFTs includes the standard model. In kinematic renormalization schemes, in which tadpole diagrams vanish, these lattices are semimodular. This implies that the Hopf algebra of Feynman diagrams is graded by the coradical degree or equivalently that every maximal forest has the same length in the scope of BPHZ renormalization. As an application of this framework, a formula for the counter terms in zero-dimensional QFT is given together with some examples of the enumeration of primitive or skeleton diagrams.
PREFACE: 8th International Conference on 3D Radiation Dosimetry (IC3DDose)
NASA Astrophysics Data System (ADS)
Olsson, Lars E.; Bäck, S.; Ceberg, Sofie
2015-01-01
IC3DDose 2014, the 8th International Conference on 3D Radiation Dosimetry was held in Ystad, Sweden, from 4-7 September 2014. This grew out of the DosGel series, which began as DosGel99, the 1st International Workshop on Radiation Therapy Gel Dosimetry in Lexington, Kentucky. Since 1999 subsequent DoSGel conferences were held in Brisbane, Australia (2001), Ghent, Belgium (2004), Sherbrooke, Canada (2006) and Crete, Greece (2008). In 2010 the conference was held on Hilton Head Island, South Carolina and underwent a name-change to IC3DDose. The 7th and last meeting was held in Sydney, Australia from 4-8 November 2012. It is worth remembering that the conference series started at the very beginning of the intensity modulated radiotherapy era and that the dosimeters being developed then were, to some extent, ahead of the clinical need of radiotherapy. However, since then the technical developments in radiation therapy have been dramatic, with dynamic treatments, including tracking, gating and volumetric modulated arc therapy, widely introduced in the clinic with the need for 3D dosimetry thus endless. This was also reflected by the contributions at the meeting in Ystad. Accordingly the scope of the meeting has also broadened to IC3DDOSE - I See Three-Dimensional Dose. A multitude of dosimetry techniques and radiation detectors are now represented, all with the common denominator: three-dimensional or 3D. Additionally, quality assurance (QA) procedures and other aspects of clinical dosimetry are represented. The implementation of new dosimetric techniques in radiotherapy is a process that needs every kind of caution, carefulness and thorough validation. Therefore, the clinical needs, reformulated as the aims for IC3DDOSE - I See Three-Dimensional Dose, are: • Enhance the quality and accuracy of radiation therapy treatments through improved clinical dosimetry. • Investigate and understand the dosimetric challenges of modern radiation treatment techniques. • Provide
PREFACE: 8th International Conference on Fine Particle Magnetism (ICFPM2013)
NASA Astrophysics Data System (ADS)
2014-06-01
The 8th International Conference on Fine Particle Magnetism (ICFPM) was held in Perpignan from 24 to 27 June 2013, and was the continuation of the previous meetings held in Bangor (1996), Rome (1991), Barcelona (1999), Pittsburg (2002), London (2004), Rome (2007) and Uppsala (2010). The next meeting will be organized by Profs. Robert D. Shull, George Hadjipanayis and Cindi Dennis, in 2016 at NIST, Gaithersburg (USA). ICFPM is a small-sized conference focused on the magnetism of nanoparticles. It provides an international forum for discussing the state-of-the-art understanding of physics of these systems, of their properties and the underlying phenomena, as approached from a variety of directions: theory and modelling, experiments on well characterized or model systems (both fabricated and synthetised), as well as experiments on technologically-relevant non-ideal systems. This meeting brought together about 120 participants working on experimental, theoretical and applied topics of the multidisciplinary research areas covered by magnetic nanoparticles, with focused interest on either single-particle or collective phenomena. The technical program of the conference was based on keynote conferences, invited talks, oral contributions and poster sessions, covering the following aspects: . Fabrication, synthesis, characterization . Single particle, surface and finite-size effects on magnetic properties . Magnetization dynamics, micro-wave assisted switching, dynamical coupling . Assemblies, collective effects, self-assembling and nanostructuring . Applications : hyperthermia, drug delivery, magneto-caloric, magneto-resistance, magneto-plasmonics, magnetic particle imaging This ICFPM edition was organized by the group Nanoscale Spin Systems of the laboratory PROMES of the CNRS (UPR8521), and Université de Perpignan Via Domitia. The meeting took place at the Congress Center of the city of Perpignan providing high-quality facilities for the technical program as well for the
Difficulties in initial algebra learning in Indonesia
NASA Astrophysics Data System (ADS)
Jupri, Al; Drijvers, Paul; van den Heuvel-Panhuizen, Marja
2014-12-01
Within mathematics curricula, algebra has been widely recognized as one of the most difficult topics, which leads to learning difficulties worldwide. In Indonesia, algebra performance is an important issue. In the Trends in International Mathematics and Science Study (TIMSS) 2007, Indonesian students' achievement in the algebra domain was significantly below the average student performance in other Southeast Asian countries such as Thailand, Malaysia, and Singapore. This fact gave rise to this study which aims to investigate Indonesian students' difficulties in algebra. In order to do so, a literature study was carried out on students' difficulties in initial algebra. Next, an individual written test on algebra tasks was administered, followed by interviews. A sample of 51 grade VII Indonesian students worked the written test, and 37 of them were interviewed afterwards. Data analysis revealed that mathematization, i.e., the ability to translate back and forth between the world of the problem situation and the world of mathematics and to reorganize the mathematical system itself, constituted the most frequently observed difficulty in both the written test and the interview data. Other observed difficulties concerned understanding algebraic expressions, applying arithmetic operations in numerical and algebraic expressions, understanding the different meanings of the equal sign, and understanding variables. The consequences of these findings on both task design and further research in algebra education are discussed.
Homberg, Anita; Hinzmann, Rolf
2015-01-01
Abstract International experts in the fields of diabetes, diabetes technology, endocrinology, mobile health, sport science, and regulatory issues gathered for the 8th Annual Symposium on Self-Monitoring of Blood Glucose (SMBG) with a focus on personalized diabetes management. The aim of this meeting was to facilitate new collaborations and research projects to improve the lives of people with diabetes. The 2015 meeting comprised a comprehensive scientific program, parallel interactive workshops, and two keynote lectures. PMID:26496678
Parkin, Christopher G; Homberg, Anita; Hinzmann, Rolf
2015-11-01
International experts in the fields of diabetes, diabetes technology, endocrinology, mobile health, sport science, and regulatory issues gathered for the 8(th) Annual Symposium on Self-Monitoring of Blood Glucose (SMBG) with a focus on personalized diabetes management. The aim of this meeting was to facilitate new collaborations and research projects to improve the lives of people with diabetes. The 2015 meeting comprised a comprehensive scientific program, parallel interactive workshops, and two keynote lectures. PMID:26496678
Experimental Course Report/Grade Nine.
ERIC Educational Resources Information Center
Davis, Robert B.
Described is the development of an approach to the algebra of real numbers which includes three areas of mathematics not commonly found in grade 9--the theory of limits of infinite sequences, a frequent use of Cartesian co-ordinates, and algebra of matrices. Seventy per cent of the course is abstract axiomatic algebra and the remaining portion…
Algebraic vs physical N = 6 3-algebras
Cantarini, Nicoletta; Kac, Victor G.
2014-01-15
In our previous paper, we classified linearly compact algebraic simple N = 6 3-algebras. In the present paper, we classify their “physical” counterparts, which actually appear in the N = 6 supersymmetric 3-dimensional Chern-Simons theories.
Federal Register 2010, 2011, 2012, 2013, 2014
2012-08-27
... From the Federal Register Online via the Government Publishing Office SOCIAL SECURITY ADMINISTRATION Social Security Acquiescence Ruling (AR) 12-X(8); Petersen v. Astrue, 633 F.3d 633 (8th Cir. 2011... Security. Acquiescence Ruling 12-X(8) Petersen v. Astrue, 633 F.3d 633 (8th Cir. 2011): Whether a...
ERIC Educational Resources Information Center
Edwards, Hannah
2012-01-01
The purpose of this causal comparative study was to examine effect of the K-8 grade span configuration on the academic achievement of 8th-grade students in the State of Georgia, and to determine the viability of the K-8 grade configuration as a strategy for improving the academic achievement of students at the middle grade levels. This study…
ERIC Educational Resources Information Center
National Council of Teachers of Mathematics, Inc., Reston, VA.
This is a reprint of the historical capsules dealing with algebra from the 31st Yearbook of NCTM,"Historical Topics for the Mathematics Classroom." Included are such themes as the change from a geometric to an algebraic solution of problems, the development of algebraic symbolism, the algebraic contributions of different countries, the origin and…
2012-01-01
Introduction Renal dysfunction is a common complication in patients with end-stage cirrhosis. Since the original publication of the definition and diagnostic criteria for the hepatorenal syndrome (HRS), there have been major advances in our understanding of its pathogenesis. The prognosis of patients with cirrhosis who develop HRS remains poor, with a median survival without liver transplantation of less than six months. However, a number of pharmacological and other therapeutic strategies have now become available which offer the ability to prevent or treat renal dysfunction more effectively in this setting. Accordingly, we sought to review the available evidence, make recommendations and delineate key questions for future studies. Methods We undertook a systematic review of the literature using Medline, PubMed and Web of Science, data provided by the Scientific Registry of Transplant Recipients and the bibliographies of key reviews. We determined a list of key questions and convened a two-day consensus conference to develop summary statements via a series of alternating breakout and plenary sessions. In these sessions, we identified supporting evidence and generated recommendations and/or directions for future research. Results Of the 30 questions considered, we found inadequate evidence for the majority of questions and our recommendations were mainly based on expert opinion. There was insufficient evidence to grade three questions, but we were able to develop a consensus definition for acute kidney injury in patients with cirrhosis and provide consensus recommendations for future investigations to address key areas of uncertainty. Conclusions Despite a paucity of sufficiently powered prospectively randomized trials, we were able to establish an evidence-based appraisal of this field and develop a set of consensus recommendations to standardize care and direct further research for patients with cirrhosis and renal dysfunction. PMID:22322077
Figueroa-O'Farrill, Jose Miguel
2009-11-15
We phrase deformations of n-Leibniz algebras in terms of the cohomology theory of the associated Leibniz algebra. We do the same for n-Lie algebras and for the metric versions of n-Leibniz and n-Lie algebras. We place particular emphasis on the case of n=3 and explore the deformations of 3-algebras of relevance to three-dimensional superconformal Chern-Simons theories with matter.
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
Early-Algebra Push Seen to Be Flawed
ERIC Educational Resources Information Center
Viadero, Debra
2010-01-01
Spurred by a succession of reports pointing to the importance of algebra as a gateway to college, educators and policymakers embraced "algebra for all" policies in the 1990s and began working to ensure that students take the subject by 9th grade or earlier. A trickle of studies suggests that in practice, though, getting all students past the…
High School Algebra Readiness Program: A Quasi-Experimental Study
ERIC Educational Resources Information Center
Birnbohm, Carol L.
2010-01-01
This quasi-experimental study measured the effectiveness of a locally created summer Algebra readiness program in a large suburban high school district in New Jersey. Incoming ninth grade students who were not ready for high school algebra were invited to participate in the summer program. The program was designed to provide access to more…
Learning Beginning Algebra with Spreadsheets in a Computer Intensive Environment
ERIC Educational Resources Information Center
Tabach, Michal; Hershkowitz, Rina; Arcavi, Abraham
2008-01-01
This study is part of a large research and development project aimed at observing, describing and analyzing the learning processes of two seventh grade classes during a yearlong beginning algebra course in a computer intensive environment (CIE). The environment includes carefully designed algebra learning materials with a functional approach, and…
NASA Technical Reports Server (NTRS)
Murray, G. W.; Bohning, O. D.; Kinoshita, R. Y.; Becker, F. J.
1979-01-01
The results are summarized of a program to demonstrate the feasibility of Bubble Domain Memory Technology as a mass memory medium for spacecraft applications. The design, fabrication and test of a partially populated 10 to the 8th power Bit Data Recorder using 100 Kbit serial bubble memory chips is described. Design tradeoffs, design approach and performance are discussed. This effort resulted in a 10 to the 8th power bit recorder with a volume of 858.6 cu in and a weight of 47.2 pounds. The recorder is plug reconfigurable, having the capability of operating as one, two or four independent serial channel recorders or as a single sixteen bit byte parallel input recorder. Data rates up to 1.2 Mb/s in a serial mode and 2.4 Mb/s in a parallel mode may be supported. Fabrication and test of the recorder demonstrated the basic feasibility of Bubble Domain Memory technology for such applications. Test results indicate the need for improvement in memory element operating temperature range and detector performance.
Ghatak, Chiranjib; Rodnin, Mykola V; Vargas-Uribe, Mauricio; McCluskey, Andrew J; Flores-Canales, Jose C; Kurnikova, Maria; Ladokhin, Alexey S
2015-04-01
The pH-triggered membrane insertion of the diphtheria toxin translocation domain (T domain) results in transferring the catalytic domain into the cytosol, which is relevant to potential biomedical applications as a cargo-delivery system. Protonation of residues is suggested to play a key role in the process, and residues E349, D352 and E362 are of particular interest because of their location within the membrane insertion unit TH8-TH9. We have used various spectroscopic, computational and functional assays to characterize the properties of the T domain carrying the double mutation E349Q/D352N or the single mutation E362Q. Vesicle leakage measurements indicate that both mutants interact with the membrane under less acidic conditions than the wild-type. Thermal unfolding and fluorescence measurements, complemented with molecular dynamics simulations, suggest that the mutant E362Q is more susceptible to acid destabilization because of disruption of native intramolecular contacts. Fluorescence experiments show that removal of the charge in E362Q, and not in E349Q/D352N, is important for insertion of TH8-TH9. Both mutants adopt a final functional state upon further acidification. We conclude that these acidic residues are involved in the pH-dependent action of the T domain, and their replacements can be used for fine tuning the pH range of membrane interactions. PMID:25875295
Examining students' views on the nature of science: Results from Korean 6th, 8th, and 10th graders
NASA Astrophysics Data System (ADS)
Kang, Sukjin; Scharmann, Lawrence C.; Noh, Taehee
2005-03-01
In this study, students' views on the nature of science (NOS) were investigated with the use of a large-scale survey. An empirically derived multiple-choice format questionnaire was administered to 1702 Korean 6th, 8th, and 10th graders. The questionnaire consisted of five items that respectively examined students' views on five constructs concerning the NOS: purpose of science, definition of scientific theory, nature of models, tentativeness of scientific theory, and origin of scientific theory. Students were also asked to respond to an accompanying open-ended section for each item in order to collect information about the rationale(s) for their choices. The results indicated that the majority of Korean students possessed an absolutist/empiricist perspective about the NOS. It was also found that, on the whole, there were no clear differences in the distributions of 6th, 8th, and 10th graders' views on the NOS. In some questions, distinct differences between Korean students and those of Western countries were found. Educational implications are discussed.
ERIC Educational Resources Information Center
Capraro, Mary Margaret; Joffrion, Heather
2006-01-01
Using symbolic algebra to represent and solve linear equations is one of the expectations within the "Algebra" content standard for the 6-8-grade band in the National Council of Teachers of Mathematics (NCTM) "Principles and Standards for School Mathematics" (2000). Students' understanding of these concepts, even before a formal algebra course,…
The Impact of New State Accountability Standards on Algebra I Students
ERIC Educational Resources Information Center
Heath, Kyle G.
2013-01-01
The purpose of this quasi-experimental quantitative study was to determine if a new Algebra I curriculum resulted in improved student performance on the state Algebra I exam. The treatment group consisted of 383 9th grade Algebra I students who received the college-ready standards-based (CRSB) curricula. The control group consisted of 338 9th…
NASA Astrophysics Data System (ADS)
Buchman, Sasha; Sun, Ke-Xun
2011-05-01
The international research community interested in the Laser Interferometric Space Antenna (LISA) program meets every two years to exchange scientific and technical information. From 28 June-2 July 2010, Stanford University hosted the 8th International LISA Symposium. The symposium was held on the campus of the SLAC National Accelerator Laboratory. Many of the foremost scientific and technological researchers in LISA and gravitational wave theory and detection presented their work and ideas. Over one hundred engineers and graduate students attended the meeting. The leadership from NASA and ESA research centers and programs joined the symposium. A total of 280 delegates participated in the 8th LISA Symposium, and enjoyed the scientific and social programs. The scientific program included 46 invited plenary lectures, 44 parallel talks, and 77 posters, totaling 167 presentations. The one-slide introduction presentation of the posters is a new format in this symposium and allowed graduate students the opportunity to talk in front of a large audience of scientists. The topics covered included LISA Science, LISA Interferometry, LISA PathFinder (LPF), LISA and LPF Data Analysis, Astrophysics, Numerical Relativity, Gravitational Wave Theory, GRS Technologies, Other Space Programs, and Ground Detectors. Large gravitational wave detection efforts, DECIGO, and LIGO were presented, as well as a number of other fundamental physics space experiments, with GP-B and STEP being examples. A public evening lecture was also presented at the symposium. Professor Bernard Schutz from the Albert Einstein Institute gave a general audience, multimedia presentation on `Gravitational waves: Listening to the music of spheres'. For more detailed information about the symposium and many presentation files, please browse through the website: http://www.stanford.edu/group/lisasymposium The Proceedings of the 8th International LISA Symposium are jointly published by Classical and Quantum Gravity
Weston, David
2013-03-01
David Weston of Oak Ridge National Laboratory on "The challenges and opportunities for extending plant genomics to climate" at the 8th Annual Genomics of Energy & Environment Meeting on March 27, 2013 in Walnut Creek, Calif.
Larsen, Peter
2013-03-01
Peter Larsen of Argonne National Lab on "Delineating molecular interaction mechanisms in an in vitro microbial-plant community" at the 8th Annual Genomics of Energy & Environment Meeting in Walnut Creek, Calif.
Hazen, Sam
2013-03-01
Sam Hazen of the University of Massachusetts on "Genetic Regulation of Grass Biomass Accumulation and Biological Conversion Quality" at the 8th Annual Genomics of Energy & Environment Meeting on March 27, 2013 in Walnut Creek, Calif.
Brodie, Eoin
2013-03-01
Eoin Brodie of Berkeley Lab on "Succession of phylogeny and function during plant litter decomposition" at the 8th Annual Genomics of Energy & Environment Meeting on March 27, 2013 in Walnut Creek, Calif.
Lebeis, Sarah
2013-03-01
Sarah Lebeis of University of North Carolina on "Modulation of root microbiome community assembly by the plant immune response" at the 8th Annual Genomics of Energy & Environment Meeting on March 28, 2013 in Walnut Creek, Calif.
Karsenti, Eric
2013-03-01
Eric Karsenti of EMBL delivers the closing keynote on "TARA OCEANS: A Global Analysis of Oceanic Plankton Ecosystems" at the 8th Annual Genomics of Energy & Environment Meeting on March 28, 2013 in Walnut Creek, Calif.
Allen, Eric
2013-03-01
Eric Allen of Scripps and UC San Diego on "Assembly-driven metagenomics of a hypersaline microbial ecosystem" at the 8th Annual Genomics of Energy & Environment Meeting on March 27, 2013 in Walnut Creek, Calif.
Gordon, Sean
2013-03-01
Sean Gordon of the USDA on "Natural variation in Brachypodium disctachyon: Deep Sequencing of Highly Diverse Natural Accessions" at the 8th Annual Genomics of Energy & Environment Meeting on March 27, 2013 in Walnut Creek, Calif.
Gilbert, Tom
2013-03-01
Tom Gilbert of the Natural History Museum of Denmark on "Biodiversity monitoring using NGS approaches on unusual substrates" at the 8th Annual Genomics of Energy & Environment Meeting in Walnut Creek, Calif.
Guess, Adam
2013-03-01
Adam Guss of Oak Ridge National Lab on "Metabolic engineering of Clostridium thermocellum for biofuel production" at the 8th Annual Genomics of Energy & Environment Meeting on March 28, 2013 in Walnut Creek, Calif.
Schmutz, Jeremy
2013-03-01
Jeremy Schmutz of the HudsonAlpha Institute for Biotechnology on "New approaches and technologies to sequence de novo plant reference genomes" at the 8th Annual Genomics of Energy & Environment Meeting on March 27, 2013 in Walnut Creek, Calif.
ERIC Educational Resources Information Center
Öztürk, Ayse; Doganay, Ahmet
2013-01-01
This study investigated primary school 5th and 8th graders' understanding and mental models related to the shape of the world and gravity, and how these models reflected the fact and what kind of a change there is from 5th to 8th graders. This research is based on a cross-sectional design. The study was conducted in a low socioeconomic level…
Two step hybrid methods of 7th and 8th order for the numerical integration of second order IVPs
NASA Astrophysics Data System (ADS)
Kalogiratou, Z.; Monovasilis, Th.; Simos, T. E.
2016-06-01
In this work we consider the numerical integration of second order ODEs where the first derivative is missing. We construct two step hybrid methods with six and seven stages and seventh and eighth algebraic order. We apply the new methods on the numerical integration of several test problems.
Programed Instruction in Elementary Algebra: An Experiment
ERIC Educational Resources Information Center
Lial, Margaret L.
1970-01-01
Report of an experiment which investigated the use of a programed elementary algebra text as a teaching method. The method was evaluated on the basis of student evaluation of the course and the percentage of students achieving a grade of C or better. Results indicated that the use of programed texts was superior to the traditional approach using…
Using Technology to Balance Algebraic Explorations
ERIC Educational Resources Information Center
Kurz, Terri L.
2013-01-01
In 2000, the "National Council of Teachers of Mathematics" recommended that Algebra Standards, "instructional programs from prekindergarten through grade 12 should enable all students to use mathematical models to represent and understand quantitative relationships." In this article, the authors suggest the "Balance"…
Introduction to Algebra (Part 2). Preliminary Edition.
ERIC Educational Resources Information Center
Haag, V. H.; And Others
This is part two of a two-part SMSG algebra text for ninth-grade students. The text was written for those students whose mathematical talent is underdeveloped. Chapter topics include the real numbers, addition of real numbers, multiplication of real numbers, properties of order, and subtraction and division for real numbers. (MP)
Learning Algebra in a Computer Algebra Environment
ERIC Educational Resources Information Center
Drijvers, Paul
2004-01-01
This article summarises a doctoral thesis entitled "Learning algebra in a computer algebra environment, design research on the understanding of the concept of parameter" (Drijvers, 2003). It describes the research questions, the theoretical framework, the methodology and the results of the study. The focus of the study is on the understanding of…
Realizations of Galilei algebras
NASA Astrophysics Data System (ADS)
Nesterenko, Maryna; Pošta, Severin; Vaneeva, Olena
2016-03-01
All inequivalent realizations of the Galilei algebras of dimensions not greater than five are constructed using the algebraic approach proposed by Shirokov. The varieties of the deformed Galilei algebras are discussed and families of one-parametric deformations are presented in explicit form. It is also shown that a number of well-known and physically interesting equations and systems are invariant with respect to the considered Galilei algebras or their deformations.
NASA Technical Reports Server (NTRS)
Iachello, Franco
1995-01-01
An algebraic formulation of quantum mechanics is presented. In this formulation, operators of interest are expanded onto elements of an algebra, G. For bound state problems in nu dimensions the algebra G is taken to be U(nu + 1). Applications to the structure of molecules are presented.
Orientation in operator algebras
Alfsen, Erik M.; Shultz, Frederic W.
1998-01-01
A concept of orientation is relevant for the passage from Jordan structure to associative structure in operator algebras. The research reported in this paper bridges the approach of Connes for von Neumann algebras and ourselves for C*-algebras in a general theory of orientation that is of geometric nature and is related to dynamics. PMID:9618457
Developing Thinking in Algebra
ERIC Educational Resources Information Center
Mason, John; Graham, Alan; Johnson-Wilder, Sue
2005-01-01
This book is for people with an interest in algebra whether as a learner, or as a teacher, or perhaps as both. It is concerned with the "big ideas" of algebra and what it is to understand the process of thinking algebraically. The book has been structured according to a number of pedagogic principles that are exposed and discussed along the way,…
Connecting Arithmetic to Algebra
ERIC Educational Resources Information Center
Darley, Joy W.; Leapard, Barbara B.
2010-01-01
Algebraic thinking is a top priority in mathematics classrooms today. Because elementary school teachers lay the groundwork to develop students' capacity to think algebraically, it is crucial for teachers to have a conceptual understanding of the connections between arithmetic and algebra and be confident in communicating these connections. Many…
Applied Algebra Curriculum Modules.
ERIC Educational Resources Information Center
Texas State Technical Coll., Marshall.
This collection of 11 applied algebra curriculum modules can be used independently as supplemental modules for an existing algebra curriculum. They represent diverse curriculum styles that should stimulate the teacher's creativity to adapt them to other algebra concepts. The selected topics have been determined to be those most needed by students…
Profiles of Algebraic Competence
ERIC Educational Resources Information Center
Humberstone, J.; Reeve, R.A.
2008-01-01
The algebraic competence of 72 12-year-old female students was examined to identify profiles of understanding reflecting different algebraic knowledge states. Beginning algebraic competence (mapping abilities: word-to-symbol and vice versa, classifying, and solving equations) was assessed. One week later, the nature of assistance required to map…
Ternary Virasoro - Witt algebra.
Zachos, C.; Curtright, T.; Fairlie, D.; High Energy Physics; Univ. of Miami; Univ. of Durham
2008-01-01
A 3-bracket variant of the Virasoro-Witt algebra is constructed through the use of su(1,1) enveloping algebra techniques. The Leibniz rules for 3-brackets acting on other 3-brackets in the algebra are discussed and verified in various situations.
Graded geometry and Poisson reduction
Cattaneo, A. S.; Zambon, M.
2009-02-02
The main result extends the Marsden-Ratiu reduction theorem in Poisson geometry, and is proven by means of graded geometry. In this note we provide the background material about graded geometry necessary for the proof. Further, we provide an alternative algebraic proof for the main result.
Computer algebra and operators
NASA Technical Reports Server (NTRS)
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.
ERIC Educational Resources Information Center
Griffith, Catherine Aurentz; Lloyd, John Wills; Lane, Kathleen Lynne; Tankersley, Melody
2010-01-01
Using National Education Longitudinal Study (NELS) data, researchers examined the reading growth rates of secondary students who had been retained between kindergarten and 8th grade and those of a matched comparison group of students who had never been retained (n = 878 in each group). Descriptive statistics and latent growth models revealed that…
Lam, S
2015-01-01
The practice and science of pharmacovigilance first emerged following the disaster caused by thalidomide in 1961, which led to the initiation of systemic international efforts to address drug safety issues spearheaded by the WHO. Systems were developed in member states of the WHO to analyze cases of adverse drug reactions (ADRs) and collate these data into a central database to aid national drug regulatory authorities in improving safety profiles of medicines. Pharmacovigilance is a key public health function for monitoring all medicinal products to assess their quality, efficacy and safety before and following authorization. These medicines are continually assessed to detect any aspect that could compromise their safety, and ensure that the necessary measures are taken. In July 2012, new legislation for pharmacovigilance in the E.U. came into effect as a result of the changes set out in the Directive 2010/84/EU and the European Commission (EC) implementing Regulation (EU) No 520/2012 to reduce the increasing number of ADRs. The latest developments in pharmacovigilance in Europe, including news on E.U. pharmacovigilance legislation, were discussed at the 8th European Generic Medicines Association (EGA) Pharmacovigilance Discussion Forum. The meeting facilitated constructive dialogue between regulators and industry on a range of topics including how to simplify pharmacovigilance activities and improve the processes of risk management plans, periodic safety update reports, signal detection, joint studies and inspections. PMID:25685861
Pickard, Jack M J; Bøtker, Hans Erik; Crimi, Gabriele; Davidson, Brian; Davidson, Sean M; Dutka, David; Ferdinandy, Peter; Ganske, Rocky; Garcia-Dorado, David; Giricz, Zoltan; Gourine, Alexander V; Heusch, Gerd; Kharbanda, Rajesh; Kleinbongard, Petra; MacAllister, Raymond; McIntyre, Christopher; Meybohm, Patrick; Prunier, Fabrice; Redington, Andrew; Robertson, Nicola J; Suleiman, M Saadeh; Vanezis, Andrew; Walsh, Stewart; Yellon, Derek M; Hausenloy, Derek J
2015-01-01
In 1993, Przyklenk and colleagues made the intriguing experimental observation that 'brief ischemia in one vascular bed also protects remote, virgin myocardium from subsequent sustained coronary artery occlusion' and that this effect'... may be mediated by factor(s) activated, produced, or transported throughout the heart during brief ischemia/reperfusion'. This seminal study laid the foundation for the discovery of 'remote ischemic conditioning' (RIC), a phenomenon in which the heart is protected from the detrimental effects of acute ischemia/reperfusion injury (IRI), by applying cycles of brief ischemia and reperfusion to an organ or tissue remote from the heart. The concept of RIC quickly evolved to extend beyond the heart, encompassing inter-organ protection against acute IRI. The crucial discovery that the protective RIC stimulus could be applied non-invasively, by simply inflating and deflating a blood pressure cuff placed on the upper arm to induce cycles of brief ischemia and reperfusion, has facilitated the translation of RIC into the clinical setting. Despite intensive investigation over the last 20 years, the underlying mechanisms continue to elude researchers. In the 8th Biennial Hatter Cardiovascular Institute Workshop, recent developments in the field of RIC were discussed with a focus on new insights into the underlying mechanisms, the diversity of non-cardiac protection, new clinical applications, and large outcome studies. The scientific advances made in this field of research highlight the journey that RIC has made from being an intriguing experimental observation to a clinical application with patient benefit. PMID:25449895
A Richer Understanding of Algebra
ERIC Educational Resources Information Center
Foy, Michelle
2008-01-01
Algebra is one of those hard-to-teach topics where pupils seem to struggle to see it as more than a set of rules to learn, but this author recently used the software "Grid Algebra" from ATM, which engaged her Year 7 pupils in exploring algebraic concepts for themselves. "Grid Algebra" allows pupils to experience number, pre-algebra, and algebra…
Connecting Algebra and Chemistry.
ERIC Educational Resources Information Center
O'Connor, Sean
2003-01-01
Correlates high school chemistry curriculum with high school algebra curriculum and makes the case for an integrated approach to mathematics and science instruction. Focuses on process integration. (DDR)
ERIC Educational Resources Information Center
Chang, Yu-Liang; Huang, Yu-I
2014-01-01
The intention of this study was to improve the learning deficiency in algebraic learning and to enhance Taiwanese middle students' learning achievement and interest in algebra. By using a grade skipping experimental design, the research team intended to find out an effective way to benefit these students' leaning in abstract algebraic concepts.…
ERIC Educational Resources Information Center
Nobre, Sandra; Amado, Nelia; Carreira, Susana
2012-01-01
In this article we report and discuss a contextual problem solving task that was proposed to a class of 8th grade (13-14-year-old) students. These students had been developing a reasonable experience in the use of the spreadsheet to model relations within contextual problems and chose to use this tool to solve the mentioned problem, engaging in…
Coinvariant algebras and fake degrees for spin Weyl groups of classical type
NASA Astrophysics Data System (ADS)
Baltera, Constance; Wang, Weiqiang
2014-01-01
The coinvariant algebra of a Weyl group plays a fundamental role in several areas of mathematics. The fake degrees are the graded multiplicities of the irreducible modules of a Weyl group in its coinvariant algebra, and they were computed by Steinberg, Lusztig and Beynon-Lusztig. In this paper we formulate a notion of spin coinvariant algebra for every Weyl group. Then we compute all the spin fake degrees for each classical Weyl group, which are by definition the graded multiplicities of the simple modules of a spin Weyl group in the spin coinvariant algebra. The spin fake degrees for the exceptional Weyl groups are given in a sequel.
ERIC Educational Resources Information Center
Atalmis, Erkan H.; Avgin, Sakine S.; Demir, Papatya; Yildirim, Bilal
2016-01-01
The aim of the present study is to examine the effect of demographic characteristics of students in Turkey upon their performance in TIMSS, an international assessment exam and Secondary Education Transition Examination which is a national exam (OGS). One of the fields of sciences, biology is taken into account as student performance. As a result…
ERIC Educational Resources Information Center
Mistry, Rashmita S.; Brown, Christia Spears; Chow, Kirby A.; Collins, Geri S.
2012-01-01
Poverty and economic hardship remain a reality for many of America's children. Although the causes of poverty are varied, Americans strongly endorse individual responsibility as a primary cause. Because beliefs about poverty originate in childhood and adolescence, intervention efforts targeting young people may be particularly effective in…
ERIC Educational Resources Information Center
Kumar, Janavi; Adhikari, Koushik; Li, Yijing; Lindshield, Erika; Muturi, Nancy; Kidd, Tandalayo
2016-01-01
Purpose: The purpose of this paper is to enable community members to discuss their perceptions of eating habits and physical activity in relation to sixth, seventh, and eighth graders, and reveal facilitators and barriers to healthy eating behavior and physical activity engagement. Design/methodology/approach: Nine focus groups, which included six…
ERIC Educational Resources Information Center
Boyd, Melody
2013-01-01
Parenting style has been shown to have significant impact on a child's development. Baumrind developed the concept of three parenting styles that is still used today including: Authoritarian/controlling, authoritative/directive, and permissive. Of these, the authoritative/directive parenting style has proven the most effective with children.…
ERIC Educational Resources Information Center
Whitby, Sarah Elizabeth
2012-01-01
To help teachers improve their efficiency and effectiveness, this dissertation study uses regression analysis to assess two middle Georgia counties' CRCT and Math 1 EOCT data in order to determine the usability of the CRCT to enhance instruction in Math 1. Data were collected from the 2009 and 2010 CRCT administrations and the 2010 and 2011…
Technology Transfer Automated Retrieval System (TEKTRAN)
This 2008 conference to be held at the University of Georgia Tifton Campus Conference Center in Tifton, GA, on 29-31 July 2008, will be a joint effort of the 30th Southern Conservation Agricultural Systems Conference (SCASC) and the 8th Annual Conservation Production Systems Training Conference (CPS...
NASA Astrophysics Data System (ADS)
Miller, R. L.; Truong, T. K.; Reed, I. S.
1980-07-01
The paper deals with a method developed for decoding a (255, 223) Reed-Solomon code over GF(2 to the 8th) with both errors and erasures. The matrix of decoding times for correcting errors and erasures of the code using a simplified decoder is presented. It is shown that the algorithm proposed is faster by a factor of from three to seven.
ERIC Educational Resources Information Center
Vander Horst, Anthony
2012-01-01
In a study of 5285 8th graders from the Gang Resistance and Education Training (G.R.E.A.T.) research, this study applied Travis Hirschi's social bonding theory to examine the curriculum's efficacy in increasing conventional bonding (friends with positive peers, succeeding at education etc.) and decreasing non-conventional bonding (drug…
ERIC Educational Resources Information Center
Ongun, Erdem; Atlas, Dilek; Demirag, Askin
2011-01-01
The study aims at evaluating the perceptions of 8th graders towards the use of information technologies ranging from the internet and multimedia tools in socio-cultural perspective of creativity while they are doing their homework in the light of the National Education Ministry's regulation related to elementary and secondary school students'…
ERIC Educational Resources Information Center
Merlin, Ethan M.
2013-01-01
This article describes how the author has developed tasks for students that address the missed "essence of the matter" of algebraic transformations. Specifically, he has found that having students practice "perceiving" algebraic structure--by naming the "glue" in the expressions, drawing expressions using…
NASA Technical Reports Server (NTRS)
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.
NASA Astrophysics Data System (ADS)
Allen, Bruce
2004-10-01
It is now almost two decades since Bernard Schutz organized a landmark meeting on data analysis for gravitational wave detectors at the University of Cardiff, UK [1]. The proceedings of that meeting make interesting reading. Among the issues discussed were optimal ways to carry out searches for binary inspiral signals, and ways in which the projected growth in computer speed, memory and networking bandwidth would influence searches for gravitational wave signals. The Gravitational Wave Data Analysis Workshop traces its history to the mid-1990s. With the construction of the US LIGO detectors and the European GEO and VIRGO detectors already underway, Kip Thorne and Sam Finn realized that it was important for the world-wide data analysis community to start discussing some of the big unsettled issues in analysis. What was the optimal way to perform a pulsar search? To ensure confident detection, how accurately did binary inspiral waveforms have to be calculated? It was largely Kip and Sam's initiative that got the GWDAW started. The first (official) GWDAW was hosted by Rai Weiss at Massachusetts Institute of Technology, USA in 1996, as a follow-on to an informal meeting organized in the previous year by Sam Finn. I have pleasant memories of this first MIT GWDAW. I was new to the field and remember my excitement at learning that I had many colleagues interested in (and working on) the important issues. I also remember how refreshing it was to hear a pair of talks by Pia Astone and Marialessandra Papa who were not only studying methods but had actually carried out serious pulsar and burst searches using data from the Rome resonant bar detectors. A lot has changed since then. This issue is the Proceedings of the 8th Annual Gravitational Wave Data Analysis Workshop, held on 17-20 December 2003 at the University of Wisconsin-Milwaukee, USA. Many of the contributions concern technical details of the analysis of real data from resonant mass and interferometric detectors
NASA Astrophysics Data System (ADS)
Hoste, Serge; Donaldson, Gordon; Ausloos, Marcel
2008-03-01
This issue of Superconductor Science and Technology (SuST) contains plenary and invited papers presented at the 8th European Conference on Applied Superconductivity (EUCAS '07) held in Brussels, Belgium between 16-20 September 2007. All the papers that were submitted to the Conference Proceedings and accepted by the referees are published in Journal of Physics: Conference Series (JPCS). The scientific aims of EUCAS '07 followed the tradition established at the preceding conferences in Göttingen (Germany), Edinburgh (United Kingdom), Eindhoven (The Netherlands), Sitges (Spain), Lyngby (Denmark), Sorrento (Italy) and Vienna (Austria). The focus was on the interplay between the most recent developments in superconductor research and the positioning of applications of superconductivity in the marketplace. Although initially founded as an exchange forum mainly for European scientists, it has gradually developed into a truly international meeting with significant attendance from the Far East and the United States. Under the guidance of ESAS (the European Society for Applied Superconductivity), this Brussels conference was jointly organized by the University of Ghent and the University of Liège and attracted 795 participants to the scientific programme, including 173 students. Participants from 46 countries included considerable attendance from the Far East (30%) and from the United States and Canada (7%). The latest developments from 30 companies were presented, and 13 plenary and 28 invited lectures highlighted the state-of-the-art in the area of materials (large- as well as small-scale applications were presented). A total of 347 papers from those submitted were selected for publication in JPCS and SuST. EUCAS '07 stimulated optimism and enthusiasm for this fascinating field of research and its technological potential, especially among the numerous young researchers attending this conference. In addition, it gave the leading scientific authorities a forum in which
ERIC Educational Resources Information Center
Delaware State Dept. of Education, Dover. Assessment and Accountability Branch.
The results from the third administration of the 8th and 11th grade science and social studies portions of the Delaware Student Testing Program (DSTP) represent an important step in Delawares efforts to educate all students to a higher level. Science and social studies data for grades 8 and 11 are summarized here, and the results for grades 4 and…
Semigroups and computer algebra in algebraic structures
NASA Astrophysics Data System (ADS)
Bijev, G.
2012-11-01
Some concepts in semigroup theory can be interpreted in several algebraic structures. A generalization fA,B,fA,B(X) = A(X')B of the complement operator (') on Boolean matrices is made, where A and B denote any rectangular Boolean matrices. While (') is an isomorphism between Boolean semilattices, the generalized complement operator is homomorphism in the general case. The map fA,B and its general inverse (fA,B)+ have quite similar properties to those in the linear algebra and are useful for solving linear equations in Boolean matrix algebras. For binary relations on a finite set, necessary and sufficient conditions for the equation αξβ = γ to have a solution ξ are proved. A generalization of Green's equivalence relations in semigroups for rectangular matrices is proposed. Relationships between them and the Moore-Penrose inverses are investigated. It is shown how any generalized Green's H-class could be constructed by given its corresponding linear subspaces and converted into a group isomorphic to a linear group. Some information about using computer algebra methods concerning this paper is given.
ERIC Educational Resources Information Center
Powell, Sarah R.; Fuchs, Lynn S.
2014-01-01
According to national mathematics standards, algebra instruction should begin at kindergarten and continue through elementary school. Most often, teachers address algebra in the elementary grades with problems related to solving equations or understanding functions. With 789 second-grade students, we administered: (1) measures of calculations and…
Lie algebra extensions of current algebras on S3
NASA Astrophysics Data System (ADS)
Kori, Tosiaki; Imai, Yuto
2015-06-01
An affine Kac-Moody algebra is a central extension of the Lie algebra of smooth mappings from S1 to the complexification of a Lie algebra. In this paper, we shall introduce a central extension of the Lie algebra of smooth mappings from S3 to the quaternization of a Lie algebra and investigate its root space decomposition. We think this extension of current algebra might give a mathematical tool for four-dimensional conformal field theory as Kac-Moody algebras give it for two-dimensional conformal field theory.
Coreflections in Algebraic Quantum Logic
NASA Astrophysics Data System (ADS)
Jacobs, Bart; Mandemaker, Jorik
2012-07-01
Various generalizations of Boolean algebras are being studied in algebraic quantum logic, including orthomodular lattices, orthomodular po-sets, orthoalgebras and effect algebras. This paper contains a systematic study of the structure in and between categories of such algebras. It does so via a combination of totalization (of partially defined operations) and transfer of structure via coreflections.
NASA Astrophysics Data System (ADS)
Reichling, M.; Mikosch, W.
2006-04-01
The 8th International Conference on Non-Contact Atomic Force Microscopy, held in Bad Essen, Germany, from 15 18th August 2005, attracted a record breaking number of participants presenting excellent contributions from a variety of scientific fields. This clearly demonstrated the high level of activity and innovation present in the community of NC-AFM researchers and the continuous growth of the field. The strongest ever participation of companies for a NC-AFM meeting is a sign for the emergence of new markets for the growing NC-AFM community; and the high standard of the products presented at the exhibition, many of them brand-new developments, reflected the unbroken progress in technology. The development of novel technologies and the sophistication of known techniques in research laboratories and their subsequent commercialization is still a major driving force for progress in this area of nanoscience. The conference was a perfect demonstration of how progress in the development of enabling technologies can readily be transcribed into basic research yielding fundamental insight with an impact across disciplines. The NC-AFM 2005 scientific programme was based on five cornerstones, each representing an area of vivid research and scientific progress. Atomic resolution imaging on oxide surfaces, which has long been a vision for the catalysis community, appears to be routine in several laboratories and after a period of demonstrative experiments NC-AFM now makes unique contributions to the understanding of processes in surface chemistry. These capabilities also open up new routes for the analysis of clusters and molecules deposited on dielectric surfaces where resolution limits are pushed towards the single atom level. Atomic precision manipulation with the dynamic AFM left the cradle of its infancy and flourishes in the family of bottom-up fabrication nanotechnologies. The systematic development of established and the introduction of new concepts of contrast
Elementary and Middle Grade Students' Constructions of Typicality
ERIC Educational Resources Information Center
Leavy, Aisling M.; Middleton, James A.
2011-01-01
This study addresses the measures chosen by students when selecting or constructing indices to properties of distributions of data. A series of individual teaching experiments were conducted to provide insight into the development of five 4th to 8th grade students' conceptualizations of distribution over the course of 8 weeks of instruction.…
Developing Algebraic Thinking.
ERIC Educational Resources Information Center
Alejandre, Suzanne
2002-01-01
Presents a teaching experience that resulted in students getting to a point of full understanding of the kinesthetic activity and the algebra behind it. Includes a lesson plan for a traffic jam activity. (KHR)
Algebraic integrability: a survey.
Vanhaecke, Pol
2008-03-28
We give a concise introduction to the notion of algebraic integrability. Our exposition is based on examples and phenomena, rather than on detailed proofs of abstract theorems. We mainly focus on algebraic integrability in the sense of Adler-van Moerbeke, where the fibres of the momentum map are affine parts of Abelian varieties; as it turns out, most examples from classical mechanics are of this form. Two criteria are given for such systems (Kowalevski-Painlevé and Lyapunov) and each is illustrated in one example. We show in the case of a relatively simple example how one proves algebraic integrability, starting from the differential equations for the integrable vector field. For Hamiltonian systems that are algebraically integrable in the generalized sense, two examples are given, which illustrate the non-compact analogues of Abelian varieties which typically appear in such systems. PMID:17588863
Algebraic Semantics for Narrative
ERIC Educational Resources Information Center
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)
ERIC Educational Resources Information Center
Gewertz, Catherine
2009-01-01
For big urban districts, it can be slippery work to catch and hold students who are falling off track at a point that derails too many graduations: the transition from 8th to 9th grade. This article reports that the Chicago school district is putting a suite of new data reports into the hands of those who teach and counsel its 30,000 freshmen this…
Aprepro - Algebraic Preprocessor
2005-08-01
Aprepro is an algebraic preprocessor that reads a file containing both general text and algebraic, string, or conditional expressions. It interprets the expressions and outputs them to the output file along witht the general text. Aprepro contains several mathematical functions, string functions, and flow control constructs. In addition, functions are included that, with some additional files, implement a units conversion system and a material database lookup system.
Geometric Algebra for Physicists
NASA Astrophysics Data System (ADS)
Doran, Chris; Lasenby, Anthony
2007-11-01
Preface; Notation; 1. Introduction; 2. Geometric algebra in two and three dimensions; 3. Classical mechanics; 4. Foundations of geometric algebra; 5. Relativity and spacetime; 6. Geometric calculus; 7. Classical electrodynamics; 8. Quantum theory and spinors; 9. Multiparticle states and quantum entanglement; 10. Geometry; 11. Further topics in calculus and group theory; 12. Lagrangian and Hamiltonian techniques; 13. Symmetry and gauge theory; 14. Gravitation; Bibliography; Index.
Covariant deformed oscillator algebras
NASA Technical Reports Server (NTRS)
Quesne, Christiane
1995-01-01
The general form and associativity conditions of deformed oscillator algebras are reviewed. It is shown how the latter can be fulfilled in terms of a solution of the Yang-Baxter equation when this solution has three distinct eigenvalues and satisfies a Birman-Wenzl-Murakami condition. As an example, an SU(sub q)(n) x SU(sub q)(m)-covariant q-bosonic algebra is discussed in some detail.
NAEP Fourth-, Eighth-, and Twelfth-Grade Reading Scores by Gender: 2005, 2007, 2009, 2011, 2013
ERIC Educational Resources Information Center
Klecker, Beverly M.
2014-01-01
This paper describes a secondary analysis of the National Assessment of Educational Progress (NAEP) reading scores by gender. Data were national public 4th- and 8th-grade reading scores from composite and subscales for 2005, 2007, 2009, 2011, and 2013. Twelfth-grade scores for composite and literary experience from 2005, 2009, and 2013 and gain…
A Summative Program Evaluation of a Comprehensive 9th Grade Transition Program
ERIC Educational Resources Information Center
Roybal, Victoria M.
2011-01-01
The transition from 8th grade to 9th grade is one that is replete with challenges for students, especially for minority students who live in economically disadvantaged communities. One low-income, high minority comprehensive high school in the western United States implemented five separate strategies to create a freshman transition program to aid…
ERIC Educational Resources Information Center
Lovin, Elizabeth; Lambeth, Dawn T.
2015-01-01
The purpose of this research was to explore the impact of an online-learning component incorporating peer discussion groups on art achievement, digital literacy practice, student engagement, and student attitude of an eighth-grade visual arts classroom. Participants included 30 students in two 8th-grade art classes. Students in one class received…
NASA Astrophysics Data System (ADS)
Hiley, B. J.
In this chapter, we examine in detail the non-commutative symplectic algebra underlying quantum dynamics. By using this algebra, we show that it contains both the Weyl-von Neumann and the Moyal quantum algebras. The latter contains the Wigner distribution as the kernel of the density matrix. The underlying non-commutative geometry can be projected into either of two Abelian spaces, so-called `shadow phase spaces'. One of these is the phase space of Bohmian mechanics, showing that it is a fragment of the basic underlying algebra. The algebraic approach is much richer, giving rise to two fundamental dynamical time development equations which reduce to the Liouville equation and the Hamilton-Jacobi equation in the classical limit. They also include the Schrödinger equation and its wave-function, showing that these features are a partial aspect of the more general non-commutative structure. We discuss briefly the properties of this more general mathematical background from which the non-commutative symplectic algebra emerges.
Application of Algebra Curriculum-Based Measurements for Decision Making in Middle and High School
ERIC Educational Resources Information Center
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…
Primary School Students' Strategies in Early Algebra Problem Solving Supported by an Online Game
ERIC Educational Resources Information Center
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…
ERIC Educational Resources Information Center
Checkley, Kathy
2001-01-01
Robert P. Moses, teacher and Civil Rights activist, discusses contributions of his Algebra Project for predominantly minority youngsters in Cambridge, Massachusetts. Taking and passing algebra in the eighth grade qualifies students for high-school honors math courses and improves their chances to enter college. Transforming neighborhood schools is…
A Schematic-Theoretic View of Problem Solving and Development of Algebraic Thinking
ERIC Educational Resources Information Center
Steele, Diana F.; Johanning, Debra I.
2004-01-01
This study explored the problem-solving schemas developed by 7th-grade pre-algebra students as they participated in a teaching experiment that was designed to help students develop effective schemas for solving algebraic problem situations involving contexts of (1) growth and change and (2) size and shape. This article describes the qualities and…
ERIC Educational Resources Information Center
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…
Enhancing Engagement in Algebra: Didactical Strategies Implemented and Discussed by Teachers
ERIC Educational Resources Information Center
Nyman, Rimma; Kilhamn, Cecilia
2015-01-01
The aim of this study is to investigate student engagement from the point of view of the teacher, by focusing on teacher's didactical strategies used to engage students during algebra introduction. Eight teachers in grade 6 and 7 participated in a focus-group interview study. The findings are based on episodes of student engagement in algebra and…
Spontaneous Meta-Arithmetic as the First Step toward School Algebra
ERIC Educational Resources Information Center
Caspi, Shai; Sfard, Anna
2012-01-01
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…
ERIC Educational Resources Information Center
New York City Board of Education, Brooklyn, NY.
This curriculum bulletin is designed to help teachers meet the diverse needs in mathematics of the children in fifth grade classes. In addition to the emphasis that is placed on arithmetic computational skills, the bulletin shows how to include other areas considered important, such as concepts, skills, and ideas from algebra and geometry. The 80…
NASA Astrophysics Data System (ADS)
Tebbens, S. F.; Coble, P. G.; Greely, T.
Three educational outreach programs designed for middle school students (grades 6, 7, and 8) by faculty at the University of South Florida (USF) Department of Marine Science are turning kids onto science. The programs are bringing marine science research and its various technologies into the classroom, where students follow up with hands-on activities. Project Oceanography (PO) is an interactive broadcast that exposes students to the concepts and tools of current marine science research. The Oceanography Camp for Girls (OCG) boosts girls' curiosity and interest in science and nature. And teachers become better equipped to present current marine science topics and technology to their students at the Teachers Oceanography Workshop (TOW). All of the programs created by USF are provided at no cost to students or their institutions.
The 8th Annual AESF/EPA Conference and Exhibit on Pollution Control for the Metal Finishing Industry was held in San Diego, California, February 9, 10, and 11, 1987. The primary objective of the 8th Conference was to continue the dialogue established by the first AESF/EPA Confere...
ERIC Educational Resources Information Center
Hong, Guanglei; Nomi, Takako
2011-01-01
A recent report by the Mathematics Advisory Panel referred to algebra as a "gateway" to later achievement (National Mathematics Advisory Panel, 2008). To address the problem of low academic performance in algebra, an increasing number of states and districts have started to implement a policy of requiring algebra for all students in ninth-grade or…
Zeta functional equation on Jordan algebras of type II
NASA Astrophysics Data System (ADS)
Kayoya, J. B.
2005-02-01
Using the Jordan algebras methods, specially the properties of Peirce decomposition and the Frobenius transformation, we compute the coefficients of the zeta functional equation, in the case of Jordan algebras of type II. As particular cases of our result, we can cite the case of studied by Gelbart [Mem. Amer. Math. Soc. 108 (1971)] and Godement and Jacquet [Zeta functions of simple algebras, Lecture Notes in Math., vol. 260, Springer-Verlag, Berlin, 1972], and the case of studied by Muro [Adv. Stud. Pure Math. 15 (1989) 429]. Let us also mention, that recently, Bopp and Rubenthaler have obtained a more general result on the zeta functional equation by using methods based on the algebraic properties of regular graded algebras which are in one-to-one correspondence with simple Jordan algebras [Local Zeta Functions Attached to the Minimal Spherical Series for a Class of Symmetric Spaces, IRMA, Strasbourg, 2003]. The method used in this paper is a direct application of specific properties of Jordan algebras of type II.
Adaptive Algebraic Multigrid Methods
Brezina, M; Falgout, R; MacLachlan, S; Manteuffel, T; McCormick, S; Ruge, J
2004-04-09
Our ability to simulate physical processes numerically is constrained by our ability to solve the resulting linear systems, prompting substantial research into the development of multiscale iterative methods capable of solving these linear systems with an optimal amount of effort. Overcoming the limitations of geometric multigrid methods to simple geometries and differential equations, algebraic multigrid methods construct the multigrid hierarchy based only on the given matrix. While this allows for efficient black-box solution of the linear systems associated with discretizations of many elliptic differential equations, it also results in a lack of robustness due to assumptions made on the near-null spaces of these matrices. This paper introduces an extension to algebraic multigrid methods that removes the need to make such assumptions by utilizing an adaptive process. The principles which guide the adaptivity are highlighted, as well as their application to algebraic multigrid solution of certain symmetric positive-definite linear systems.
Using Cognitive Tutor Software in Learning Linear Algebra Word Concept
ERIC Educational Resources Information Center
Yang, Kai-Ju
2015-01-01
This paper reports on a study of twelve 10th grade students using Cognitive Tutor, a math software program, to learn linear algebra word concept. The study's purpose was to examine whether students' mathematics performance as it is related to using Cognitive Tutor provided evidence to support Koedlinger's (2002) four instructional principles used…
Getting from Arithmetic to Algebra: Balanced Assessments for the Transition
ERIC Educational Resources Information Center
Schwartz, Judah L.; Kenney, Joan M.
2012-01-01
In this innovative book, two experienced educators present a fresh and engaging approach to mathematics learning in the middle grades with the transition from arithmetic to algebra. The authors provide a collection of balanced, multi-dimensional assessment tasks designed to evaluate students' ability to work with mathematical objects and perform…
The Effects of Online Homework on High School Algebra Students
ERIC Educational Resources Information Center
Schubert, Daniel Joseph
2012-01-01
Technology is changing the way students are able to learn and access mathematics. This study explored the effects that technology can have on 9th grade Integrated Algebra students through computer-assisted instruction. In hopes of raising students' New York State Regents scores, ninety-five high school freshmen from a Title I school in New…
Algebra 33: Introduction through Unit V-B.
ERIC Educational Resources Information Center
Nederland Independent School District, TX.
GRADES OR AGES: No mention. SUBJECT MATTER: Algebra. ORGANIZATION AND PHYSICAL APPEARANCE: The guide is divided into seven separately bound units. Unit headings are introduction, sets of numbers and axioms, open sentences in one variable, systems of linear open sentences, polynomials and factoring, rational numbers and expressions (A), and…
Geometric and Algebraic Approaches in the Concept of Complex Numbers
ERIC Educational Resources Information Center
Panaoura, A.; Elia, I.; Gagatsis, A.; Giatilis, G.-P.
2006-01-01
This study explores pupils' performance and processes in tasks involving equations and inequalities of complex numbers requiring conversions from a geometric representation to an algebraic representation and conversions in the reverse direction, and also in complex numbers problem solving. Data were collected from 95 pupils of the final grade from…
Early Algebra to Reach the Range of Learners
ERIC Educational Resources Information Center
Schifter, Deborah; Russell, Susan Jo; Bastable, Virginia
2009-01-01
Since 2001, the authors have been working with groups of teachers to investigate students' early algebraic thinking--learning representations, connections, and generalizations in the elementary school grades. They began paying attention to students' explicit remarks about regularities in the number system or what students imply by their…
Studies in Mathematics, Volume VIII. Concepts of Algebra. Preliminary Edition.
ERIC Educational Resources Information Center
Clarkson, Donald R., Ed.; And Others
This volume is designed to provide information for teachers and prospective teachers who will teach the basic concepts of algebra normally taught in grade 9. Each section of the book contains background information, suggestions for instruction, and problems. Sections in the book include: (1) Numerals and Variables; (2) Open Sentences and English…
The Algebra Solution to Mathematics Reform: Completing the Equation
ERIC Educational Resources Information Center
Spielhagen, Frances R.
2011-01-01
How can we increase mathematics achievement among all students? This book provides a straightforward explanation of how changing mathematics tracking policies to provide algebra instruction to all students by at least eighth grade can bring about changes in both student achievement and teacher performance. Spielhagen chronicles the success of a…
Computer Algebra System Calculators: Gender Issues and Teachers' Expectations
ERIC Educational Resources Information Center
Forgasz, Helen J.; Griffith, Shirly
2006-01-01
In this paper we present findings from two studies focusing on computer algebra system (CAS) calculators. In Victoria, Australia, it is currently mandatory for students to use graphics calculators in some grade 12 mathematics examinations. Since 2001, a pilot study has been conducted involving Victorian Certificate of Education (VCE) students…
Abstract Algebra for Algebra Teaching: Influencing School Mathematics Instruction
ERIC Educational Resources Information Center
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…
Computer Program For Linear Algebra
NASA Technical Reports Server (NTRS)
Krogh, F. T.; Hanson, R. J.
1987-01-01
Collection of routines provided for basic vector operations. Basic Linear Algebra Subprogram (BLAS) library is collection from FORTRAN-callable routines for employing standard techniques to perform basic operations of numerical linear algebra.
NASA Technical Reports Server (NTRS)
Shahshahani, M.
1991-01-01
The performance characteristics are discussed of certain algebraic geometric codes. Algebraic geometric codes have good minimum distance properties. On many channels they outperform other comparable block codes; therefore, one would expect them eventually to replace some of the block codes used in communications systems. It is suggested that it is unlikely that they will become useful substitutes for the Reed-Solomon codes used by the Deep Space Network in the near future. However, they may be applicable to systems where the signal to noise ratio is sufficiently high so that block codes would be more suitable than convolutional or concatenated codes.
NASA Astrophysics Data System (ADS)
Bouwknegt, Peter
1988-06-01
We investigate extensions of the Virasoro algebra by a single primary field of integer or halfinteger conformal dimension Δ. We argue that for vanishing structure constant CΔΔΔ, the extended conformal algebra can only be associative for a generic c-value if Δ=1/2, 1, 3/2, 2 or 3. For the other Δ<=5 we compute the finite set of allowed c-values and identify the rational solutions. The case CΔΔΔ≠0 is also briefly discussed. I would like to thank Kareljan Schoutens for discussions and Sander Bais for a careful reading of the manuscript.
Garber, Michael D.; Sajuria, Marcelo; Lobelo, Felipe
2014-01-01
Purpose In addition to excess adiposity, low cardiorespiratory fitness (CRF) and low musculoskeletal fitness (MSF) are important independent risk factors for future cardio-metabolic disease in adolescents, yet global fitness surveillance in adolescents is poor. The objective of this study was to describe and investigate geographical variation in levels of health-related physical fitness, including CRF, MSF, body mass index (BMI), and waist circumference (WC) in Chilean 8th graders. Methods This cross-sectional study was based on a population-based, representative sample of 19,929 8th graders (median age = 14 years) in the 2011 National Physical Education Survey from Chile. CRF was assessed with the 20-meter shuttle run test, MSF with standing broad jump, and body composition with BMI and WC. Data were classified according to health-related standards. Prevalence of levels of health-related physical fitness was mapped for each of the four variables, and geographical variation was explored at the country level by region and in the Santiago Metropolitan Area by municipality. Results Girls had significantly higher prevalence of unhealthy CRF, MSF, and BMI than boys (p<0.05). Overall, 26% of boys and 55% of girls had unhealthy CRF, 29% of boys and 35% of girls had unhealthy MSF, 29% of boys and 44% of girls had unhealthy BMI, and 31% of adolescents had unhealthy WC. High prevalence of unhealthy fitness levels concentrates in the northern and middle regions of the country and in the North and Southwest sectors for the Santiago Metropolitan Area. Conclusion Prevalence of unhealthy CRF, MSF, and BMI is relatively high among Chilean 8th graders, especially in girls, when compared with global estimates. Identification of geographical regions and municipalities with high prevalence of unhealthy physical fitness presents opportunity for targeted intervention. PMID:25255442
Assessing Elementary Algebra with STACK
ERIC Educational Resources Information Center
Sangwin, Christopher J.
2007-01-01
This paper concerns computer aided assessment (CAA) of mathematics in which a computer algebra system (CAS) is used to help assess students' responses to elementary algebra questions. Using a methodology of documentary analysis, we examine what is taught in elementary algebra. The STACK CAA system, http://www.stack.bham.ac.uk/, which uses the CAS…
Spinors in the hyperbolic algebra
NASA Astrophysics Data System (ADS)
Ulrych, S.
2006-01-01
The three-dimensional universal complex Clifford algebra Cbar3,0 is used to represent relativistic vectors in terms of paravectors. In analogy to the Hestenes spacetime approach spinors are introduced in an algebraic form. This removes the dependance on an explicit matrix representation of the algebra.
Teaching science to 8th graders by engaging them in a design and technology activity: A case study
NASA Astrophysics Data System (ADS)
Sidawi, Mai M.
This study described how students can apply science concepts to a Design and Technology task. It also examined whether the students could transfer their scientific knowledge to their design of technology. The study was conducted at an urban school in Philadelphia where a sample of 36 eighth grade students were taught a science unit, Energy, Machines, and Motion, and engaged in a technology design task that was chosen based on the scientific content of the unit. Two approaches of relating teaching science to technological design were observed and described. Through the first approach, the students were given technology lessons in addition to their science lessons. This was to provide them with the technological knowledge that they needed in designing technology such as learning about the design process, selection of appropriate materials, and selection of appropriate tools and how to use them. Also, the students were taught the social skills that will enable them to develop an effective collaborative relationship with their peers such as conflict-management and brainstorming. Through the second approach, the students were taught the science unit and then at the end of the unit the students were given the design task as an assessment of their scientific knowledge. The students' experience of designing technology for each approach was described. The study was conducted using multiple tools and instruments such as observation, videotaping, interviews, and testing. The students were also given the survey PATT-USA to measure their attitude toward technology. The study showed that the students' learning of science was impacted by their weak prerequisite knowledge in science, their poor verbal and written communication skills and their style as dependent learners. Also, the study showed the great impact of the school and classroom cultures on the participation of the students in a Design and Technology activity. The students in this study showed great resistant to
ERIC Educational Resources Information Center
Glick, David
1995-01-01
Presents a technique that helps students concentrate more on the science and less on the mechanics of algebra while dealing with introductory physics formulas. Allows the teacher to do complex problems at a lower level and not be too concerned about the mathematical abilities of the students. (JRH)
ERIC Educational Resources Information Center
Ketterlin-Geller, Leanne R.; Jungjohann, Kathleen; Chard, David J.; Baker, Scott
2007-01-01
Much of the difficulty that students encounter in the transition from arithmetic to algebra stems from their early learning and understanding of arithmetic. Too often, students learn about the whole number system and the operations that govern that system as a set of procedures to solve addition, subtraction, multiplication, and division problems.…
Computer Algebra versus Manipulation
ERIC Educational Resources Information Center
Zand, Hossein; Crowe, David
2004-01-01
In the UK there is increasing concern about the lack of skill in algebraic manipulation that is evident in students entering mathematics courses at university level. In this note we discuss how the computer can be used to ameliorate some of the problems. We take as an example the calculations needed in three dimensional vector analysis in polar…
ERIC Educational Resources Information Center
Boiteau, Denise; Stansfield, David
This document describes mathematical programs on the basic concepts of algebra produced by Louisiana Public Broadcasting. Programs included are: (1) "Inverse Operations"; (2) "The Order of Operations"; (3) "Basic Properties" (addition and multiplication of numbers and variables); (4) "The Positive and Negative Numbers"; and (5) "Using Positive…
Thinking Visually about Algebra
ERIC Educational Resources Information Center
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,…
ERIC Educational Resources Information Center
Kennedy, John
This text provides information and exercises on arithmetic topics which should be mastered before a student enrolls in an Elementary Algebra course. Section I describes the fundamental properties and relationships of whole numbers, focusing on basic operations, divisibility tests, exponents, order of operations, prime numbers, greatest common…
ERIC Educational Resources Information Center
Nwabueze, Kenneth K.
2004-01-01
The current emphasis on flexible modes of mathematics delivery involving new information and communication technology (ICT) at the university level is perhaps a reaction to the recent change in the objectives of education. Abstract algebra seems to be one area of mathematics virtually crying out for computer instructional support because of the…
NASA Technical Reports Server (NTRS)
Patch, R. W.
1971-01-01
The composition and thermodynamic properties were calculated for 100 to 110,000 K and 1.01325 x 10 to the 2nd power to 1.01325 x 10 to the 8th power N/sq m for chemical equilibrium in the Debye-Huckel and ideal-gas approximations. Quantities obtained were the concentrations of hydrogen atoms, protons, free electrons, hydrogen molecules, negative hydrogen ions, hydrogen diatomic molecular ions, and hydrogen triatomic molecular ions, and the enthalpy, entropy, average molecular weight, specific heat at constant pressure, density, and isentropic exponent. Electronically excited states of H and H2 were included. Choked, isentropic, one-dimensional nozzle flow with shifting chemical equilibrium was calculated to the Debye-Huckel and ideal-gas approximations for stagnation temperatures from 2500 to 100,000 K. The mass flow per unit throat area and the sonic flow factor were obtained. The pressure ratio, temperature, velocity, and ideal and vacuum specific impulses at the throat and for pressure ratios as low as 0.000001 downstream were found. For high temperatures at pressures approaching 1.01325 x 10 to the 8th power N/sq m, the ideal-gas approximation was found to be inadequate for calculations of composition, precise thermodynamic properties, and precise nozzle flow. The greatest discrepancy in nozzle flow occurred in the exit temperature, which was as much as 21 percent higher when the Debye-Huckel approximation was used.
NASA Astrophysics Data System (ADS)
Zhang, Ming; Yao, JingTao
2004-04-01
The XML is a new standard for data representation and exchange on the Internet. There are studies on XML query languages as well as XML algebras in literature. However, attention has not been paid to research on XML algebras for data mining due to partially the fact that there is no widely accepted definition of XML mining tasks. This paper tries to examine the XML mining tasks and provide guidelines to design XML algebras for data mining. Some summarization and comparison have been done to existing XML algebras. We argue that by adding additional operators for mining tasks, XML algebras may work well for data mining with XML documents.
On Dunkl angular momenta algebra
NASA Astrophysics Data System (ADS)
Feigin, Misha; Hakobyan, Tigran
2015-11-01
We consider the quantum angular momentum generators, deformed by means of the Dunkl operators. Together with the reflection operators they generate a subalgebra in the rational Cherednik algebra associated with a finite real reflection group. We find all the defining relations of the algebra, which appear to be quadratic, and we show that the algebra is of Poincaré-Birkhoff-Witt (PBW) type. We show that this algebra contains the angular part of the Calogero-Moser Hamiltonian and that together with constants it generates the centre of the algebra. We also consider the gl( N ) version of the subalge-bra of the rational Cherednik algebra and show that it is a non-homogeneous quadratic algebra of PBW type as well. In this case the central generator can be identified with the usual Calogero-Moser Hamiltonian associated with the Coxeter group in the harmonic confinement.
Algebraic connectivity and graph robustness.
Feddema, John Todd; Byrne, Raymond Harry; Abdallah, Chaouki T.
2009-07-01
Recent papers have used Fiedler's definition of algebraic connectivity to show that network robustness, as measured by node-connectivity and edge-connectivity, can be increased by increasing the algebraic connectivity of the network. By the definition of algebraic connectivity, the second smallest eigenvalue of the graph Laplacian is a lower bound on the node-connectivity. In this paper we show that for circular random lattice graphs and mesh graphs algebraic connectivity is a conservative lower bound, and that increases in algebraic connectivity actually correspond to a decrease in node-connectivity. This means that the networks are actually less robust with respect to node-connectivity as the algebraic connectivity increases. However, an increase in algebraic connectivity seems to correlate well with a decrease in the characteristic path length of these networks - which would result in quicker communication through the network. Applications of these results are then discussed for perimeter security.
Minimal dynamics and the classification of C*-algebras.
Toms, Andrew S; Winter, Wilhelm
2009-10-01
Let X be an infinite, compact, metrizable space of finite covering dimension and alpha: X --> X a minimal homeomorphism. We prove that the crossed product C(X) times sign, right closed(alpha) Z absorbs the Jiang-Su algebra tensorially and has finite nuclear dimension. As a consequence, these algebras are determined up to isomorphism by their graded ordered K-theory under the necessary condition that their projections separate traces. This result applies, in particular, to those crossed products arising from uniquely ergodic homeomorphisms. PMID:19805164
Minimal dynamics and the classification of C*-algebras
Toms, Andrew S.; Winter, Wilhelm
2009-01-01
Let X be an infinite, compact, metrizable space of finite covering dimension and α: X → X a minimal homeomorphism. We prove that the crossed product C(X) ⋊α ℤ absorbs the Jiang-Su algebra tensorially and has finite nuclear dimension. As a consequence, these algebras are determined up to isomorphism by their graded ordered K-theory under the necessary condition that their projections separate traces. This result applies, in particular, to those crossed products arising from uniquely ergodic homeomorphisms. PMID:19805164
A Flexible Variable Truncated Power Series Algebra in Zlib
Yan, Y.T.; /SLAC
2011-08-25
Zlib is a numerical library for Truncated Power Series Algebra (TPSA) and Lie Algebra for application to nonlinear analysis of single particle dynamics. The first version was developed in 1990 with the use of the One-Step Index Pointers (OSIP's). The OSIP's form the Zlib nerve that offers optimal computation and alloworder grading as well as flexible initialization of the global number of variables for the TPSA. While the OSIP's are still kept for minimum index passing to achieve efficient computation, Zlib has been being upgraded to allow flexible and gradable local number of variables in each C++ object of the Truncated Power Series (Tps) class. Possible applications using Zlib are discussed.
Marquette, Ian
2013-07-15
We introduce the most general quartic Poisson algebra generated by a second and a fourth order integral of motion of a 2D superintegrable classical system. We obtain the corresponding quartic (associative) algebra for the quantum analog, extend Daskaloyannis construction obtained in context of quadratic algebras, and also obtain the realizations as deformed oscillator algebras for this quartic algebra. We obtain the Casimir operator and discuss how these realizations allow to obtain the finite-dimensional unitary irreducible representations of quartic algebras and obtain algebraically the degenerate energy spectrum of superintegrable systems. We apply the construction and the formula obtained for the structure function on a superintegrable system related to type I Laguerre exceptional orthogonal polynomials introduced recently.
NASA Astrophysics Data System (ADS)
Dankova, T. S.; Rosensteel, G.
1998-10-01
Mean field theory has an unexpected group theoretic mathematical foundation. Instead of representation theory which applies to most group theoretic quantum models, Hartree-Fock and Hartree-Fock-Bogoliubov have been formulated in terms of coadjoint orbits for the groups U(n) and O(2n). The general theory of mean fields is formulated for an arbitrary Lie algebra L of fermion operators. The moment map provides the correspondence between the Hilbert space of microscopic wave functions and the dual space L^* of densities. The coadjoint orbits of the group in the dual space are phase spaces on which time-dependent mean field theory is equivalent to a classical Hamiltonian dynamical system. Indeed it forms a finite-dimensional Lax system. The mean field theories for the Elliott SU(3) and symplectic Sp(3,R) algebras are constructed explicitly in the coadjoint orbit framework.
ERIC Educational Resources Information Center
Beigie, Darin
2014-01-01
Most people who are attracted to STEM-related fields are drawn not by a desire to take mathematics tests but to create things. The opportunity to create an algebra drawing gives students a sense of ownership and adventure that taps into the same sort of energy that leads a young person to get lost in reading a good book, building with Legos®,…
2013-05-06
AMG2013 is a parallel algebraic multigrid solver for linear systems arising from problems on unstructured grids. It has been derived directly from the Boomer AMG solver in the hypre library, a large linear solvers library that is being developed in the Center for Applied Scientific Computing (CASC) at LLNL. The driver provided in the benchmark can build various test problems. The default problem is a Laplace type problem on an unstructured domain with various jumps and an anisotropy in one part.
Vertex Algebras, Kac-Moody Algebras, and the Monster
NASA Astrophysics Data System (ADS)
Borcherds, Richard E.
1986-05-01
It is known that the adjoint representation of any Kac-Moody algebra A can be identified with a subquotient of a certain Fock space representation constructed from the root lattice of A. I define a product on the whole of the Fock space that restricts to the Lie algebra product on this subquotient. This product (together with a infinite number of other products) is constructed using a generalization of vertex operators. I also construct an integral form for the universal enveloping algebra of any Kac-Moody algebra that can be used to define Kac-Moody groups over finite fields, some new irreducible integrable representations, and a sort of affinization of any Kac-Moody algebra. The ``Moonshine'' representation of the Monster constructed by Frenkel and others also has products like the ones constructed for Kac-Moody algebras, one of which extends the Griess product on the 196884-dimensional piece to the whole representation.
ERIC Educational Resources Information Center
Mack, Roy James
2011-01-01
The central purpose of this research was to assess student learning outcomes in the Algebra I credit recovery course offered at traditional schools in Louisiana and the Algebra I credit recovery course offered online by the Louisiana Virtual School (LVS). It was also conducted to assess the associations of gender, grade level, and socio-economic…
NASA Astrophysics Data System (ADS)
Palmkvist, Jakob
2014-01-01
We introduce an infinite-dimensional Lie superalgebra which is an extension of the U-duality Lie algebra of maximal supergravity in D dimensions, for 3 ⩽ D ⩽ 7. The level decomposition with respect to the U-duality Lie algebra gives exactly the tensor hierarchy of representations that arises in gauge deformations of the theory described by an embedding tensor, for all positive levels p. We prove that these representations are always contained in those coming from the associated Borcherds-Kac-Moody superalgebra, and we explain why some of the latter representations are not included in the tensor hierarchy. The most remarkable feature of our Lie superalgebra is that it does not admit a triangular decomposition like a (Borcherds-)Kac-Moody (super)algebra. Instead the Hodge duality relations between level p and D - 2 - p extend to negative p, relating the representations at the first two negative levels to the supersymmetry and closure constraints of the embedding tensor.
NASA Technical Reports Server (NTRS)
Cleaveland, Rance; Luettgen, Gerald; Natarajan, V.
1999-01-01
This paper surveys the semantic ramifications of extending traditional process algebras with notions of priority that allow for some transitions to be given precedence over others. These enriched formalisms allow one to model system features such as interrupts, prioritized choice, or real-time behavior. Approaches to priority in process algebras can be classified according to whether the induced notion of preemption on transitions is global or local and whether priorities are static or dynamic. Early work in the area concentrated on global pre-emption and static priorities and led to formalisms for modeling interrupts and aspects of real-time, such as maximal progress, in centralized computing environments. More recent research has investigated localized notions of pre-emption in which the distribution of systems is taken into account, as well as dynamic priority approaches, i.e., those where priority values may change as systems evolve. The latter allows one to model behavioral phenomena such as scheduling algorithms and also enables the efficient encoding of real-time semantics. Technically, this paper studies the different models of priorities by presenting extensions of Milner's Calculus of Communicating Systems (CCS) with static and dynamic priority as well as with notions of global and local pre- emption. In each case the operational semantics of CCS is modified appropriately, behavioral theories based on strong and weak bisimulation are given, and related approaches for different process-algebraic settings are discussed.
Palmkvist, Jakob
2014-01-15
We introduce an infinite-dimensional Lie superalgebra which is an extension of the U-duality Lie algebra of maximal supergravity in D dimensions, for 3 ⩽ D ⩽ 7. The level decomposition with respect to the U-duality Lie algebra gives exactly the tensor hierarchy of representations that arises in gauge deformations of the theory described by an embedding tensor, for all positive levels p. We prove that these representations are always contained in those coming from the associated Borcherds-Kac-Moody superalgebra, and we explain why some of the latter representations are not included in the tensor hierarchy. The most remarkable feature of our Lie superalgebra is that it does not admit a triangular decomposition like a (Borcherds-)Kac-Moody (super)algebra. Instead the Hodge duality relations between level p and D − 2 − p extend to negative p, relating the representations at the first two negative levels to the supersymmetry and closure constraints of the embedding tensor.
Solecki, Roland; Rauch, Martina; Gall, Andrea; Buschmann, Jochen; Clark, Ruth; Fuchs, Antje; Kan, Haidong; Heinrich, Verena; Kellner, Rupert; Knudsen, Thomas B; Li, Weihua; Makris, Susan L; Ooshima, Yojiro; Paumgartten, Francisco; Piersma, Aldert H; Schönfelder, Gilbert; Oelgeschläger, Michael; Schaefer, Christof; Shiota, Kohei; Ulbrich, Beate; Ding, Xuncheng; Chahoud, Ibrahim
2015-11-01
This article is a report of the 8th Berlin Workshop on Developmental Toxicity held in May 2014. The main aim of the workshop was the continuing harmonization of terminology and innovations for methodologies used in the assessment of embryo- and fetotoxic findings. The following main topics were discussed: harmonized categorization of external, skeletal, visceral and materno-fetal findings into malformations, variations and grey zone anomalies, aspects of developmental anomalies in humans and laboratory animals, and innovations for new methodologies in developmental toxicology. The application of Version 2 terminology in the DevTox database was considered as a useful improvement in the categorization of developmental anomalies. Participants concluded that initiation of a project for comparative assessments of developmental anomalies in humans and laboratory animals could support regulatory risk assessment and university-based training. Improvement of new methodological approaches for alternatives to animal testing should be triggered for a better understanding of developmental outcomes. PMID:26073002
NASA Technical Reports Server (NTRS)
Lichten, Stephen M.; Bertiger, Willy I.
1989-01-01
Strategies for the estimation of precise GPS orbits and ground baselines, designed to minimize error sources related to the GPS orbit accuracy and the tropospheric delay, are demonstrated. Using GPS data from field experiments conducted in 1985 and 1986, it is shown that, by carefully selecting well-known stations to serve as reference points and by using the GPS data to determine high-accuracy GPS orbits and to solve for wet tropospheric delay fluctuations, the 2000-km baselines in North America can now be estimated with the accuracy better than 1.5 parts in 10 to the 8th. Using these strategies, better than l-m accuracy was achieved for the two best-tracked satellites (of the seven total operational GPS satellites).
Compactly Generated de Morgan Lattices, Basic Algebras and Effect Algebras
NASA Astrophysics Data System (ADS)
Paseka, Jan; Riečanová, Zdenka
2010-12-01
We prove that a de Morgan lattice is compactly generated if and only if its order topology is compatible with a uniformity on L generated by some separating function family on L. Moreover, if L is complete then L is (o)-topological. Further, if a basic algebra L (hence lattice with sectional antitone involutions) is compactly generated then L is atomic. Thus all non-atomic Boolean algebras as well as non-atomic lattice effect algebras (including non-atomic MV-algebras and orthomodular lattices) are not compactly generated.
Locally finite dimensional Lie algebras
NASA Astrophysics Data System (ADS)
Hennig, Johanna
We prove that in a locally finite dimensional Lie algebra L, any maximal, locally solvable subalgebra is the stabilizer of a maximal, generalized flag in an integrable, faithful module over L. Then we prove two structure theorems for simple, locally finite dimensional Lie algebras over an algebraically closed field of characteristic p which give sufficient conditions for the algebras to be of the form [K(R, *), K( R, *)] / (Z(R) ∩ [ K(R, *), K(R, *)]) for a simple, locally finite dimensional associative algebra R with involution *. Lastly, we explore the noncommutative geometry of locally simple representations of the diagonal locally finite Lie algebras sl(ninfinity), o( ninfinity), and sp(n infinity).
Quantum computation using geometric algebra
NASA Astrophysics Data System (ADS)
Matzke, Douglas James
This dissertation reports that arbitrary Boolean logic equations and operators can be represented in geometric algebra as linear equations composed entirely of orthonormal vectors using only addition and multiplication Geometric algebra is a topologically based algebraic system that naturally incorporates the inner and anticommutative outer products into a real valued geometric product, yet does not rely on complex numbers or matrices. A series of custom tools was designed and built to simplify geometric algebra expressions into a standard sum of products form, and automate the anticommutative geometric product and operations. Using this infrastructure, quantum bits (qubits), quantum registers and EPR-bits (ebits) are expressed symmetrically as geometric algebra expressions. Many known quantum computing gates, measurement operators, and especially the Bell/magic operators are also expressed as geometric products. These results demonstrate that geometric algebra can naturally and faithfully represent the central concepts, objects, and operators necessary for quantum computing, and can facilitate the design and construction of quantum computing tools.
Verburgt, Lukas M
2016-01-01
This paper provides a detailed account of the period of the complex history of British algebra and geometry between the publication of George Peacock's Treatise on Algebra in 1830 and William Rowan Hamilton's paper on quaternions of 1843. During these years, Duncan Farquharson Gregory and William Walton published several contributions on 'algebraical geometry' and 'geometrical algebra' in the Cambridge Mathematical Journal. These contributions enabled them not only to generalize Peacock's symbolical algebra on the basis of geometrical considerations, but also to initiate the attempts to question the status of Euclidean space as the arbiter of valid geometrical interpretations. At the same time, Gregory and Walton were bound by the limits of symbolical algebra that they themselves made explicit; their work was not and could not be the 'abstract algebra' and 'abstract geometry' of figures such as Hamilton and Cayley. The central argument of the paper is that an understanding of the contributions to 'algebraical geometry' and 'geometrical algebra' of the second generation of 'scientific' symbolical algebraists is essential for a satisfactory explanation of the radical transition from symbolical to abstract algebra that took place in British mathematics in the 1830s-1840s. PMID:26806075
On the cohomology of Leibniz conformal algebras
NASA Astrophysics Data System (ADS)
Zhang, Jiao
2015-04-01
We construct a new cohomology complex of Leibniz conformal algebras with coefficients in a representation instead of a module. The low-dimensional cohomology groups of this complex are computed. Meanwhile, we construct a Leibniz algebra from a Leibniz conformal algebra and prove that the category of Leibniz conformal algebras is equivalent to the category of equivalence classes of formal distribution Leibniz algebras.
Assessing Algebraic Solving Ability: A Theoretical Framework
ERIC Educational Resources Information Center
Lian, Lim Hooi; Yew, Wun Thiam
2012-01-01
Algebraic solving ability had been discussed by many educators and researchers. There exists no definite definition for algebraic solving ability as it can be viewed from different perspectives. In this paper, the nature of algebraic solving ability in terms of algebraic processes that demonstrate the ability in solving algebraic problem is…
ERIC Educational Resources Information Center
Linchevski, Liora; Herscovics, Nicolas
1996-01-01
Reports the results of a teaching experiment involving like terms and equations in algebra. Seventh-grade students (n=6) experienced difficulties in decomposing an additive term into a difference. (Author/MKR)
NASA Astrophysics Data System (ADS)
Sheinman, O. K.
2015-12-01
Based on ℤ-gradings of semisimple Lie algebras and invariant polynomials on them, we construct hierarchies of Lax equations with a spectral parameter on a Riemann surface and prove the commutativity of the corresponding flows.
Clifford algebras and Hestenes spinors
NASA Astrophysics Data System (ADS)
Lounesto, Pertti
1993-09-01
This article reviews Hestenes' work on the Dirac theory, where his main achievement is a real formulation of the theory within the real Clifford algebra Cl 1,3 ≃ M2 (H). Hestenes invented first in 1966 his ideal spinorsφ in Cl_{1,3 _2}^1 (1 - γ _{03} ) and later 1967/75 he recognized the importance of his operator spinors ψ ∈ Cl{/1,3 + } ≃ M2 (C). This article starts from the conventional Dirac equation as presented with matrices by Bjorken-Drell. Explicit mappings are given for a passage between Hestenes' operator spinors and Dirac's column spinors. Hestenes' operator spinors are seen to be multiples of even parts of real parts of Dirac spinors (real part in the decomposition C ⊗ Cl 1,3 and not in C ⊗ M4 (R)=M4 (C)). It will become apparent that the standard matrix formulation contains superfluous parts, which ought to be cut out by Occam's razor. Fierz identities of bilinear covariants are known to be sufficient to study the non-null case but are seen to be insufficient for the null case ψ†γ0ψ=0, ψ†γ0γ0123ψ=0. The null case is thoroughly scrutinized for the first time with a new concept called boomerang. This permits a new intrinsically geometric classification of spinors. This in turn reveals a new class of spinors which has not been discussed before. This class supplements the spinors of Dirac, Weyl, and Majorana; it describes neither the electron nor the neutron; it is awaiting a physical interpretation and a possible observation. Projection operators P±, Σ± are resettled among their new relatives in End(Cl 1,3 ). Finally, a new mapping, called tilt, is introduced to enable a transition from Cl 1,3 to the (graded) opposite algebra Cl 3,1 without resorting to complex numbers, that is, not using a replacement γμ → iγμ.
ERIC Educational Resources Information Center
Dessoff, Alan
2008-01-01
Given a strained economy with skyrocketing fuel prices and homeowner foreclosures that threaten property tax rolls, plus pressures to satisfy mandates for improved student achievement, district administrators must tighten belts, juggle priorities, and find creative solutions to situations that might challenge them as never before. Teachers are…
ERIC Educational Resources Information Center
Novotna, Jarmila; Hoch, Maureen
2008-01-01
Many students have difficulties with basic algebraic concepts at high school and at university. In this paper two levels of algebraic structure sense are defined: for high school algebra and for university algebra. We suggest that high school algebra structure sense components are sub-components of some university algebra structure sense…
Handheld Computer Algebra Systems in the Pre-Algebra Classroom
ERIC Educational Resources Information Center
Gantz, Linda Ann Galofaro
2010-01-01
This mixed method analysis sought to investigate several aspects of student learning in pre-algebra through the use of computer algebra systems (CAS) as opposed to non-CAS learning. This research was broken into two main parts, one which compared results from both the experimental group (instruction using CAS, N = 18) and the control group…
Abstract Algebra to Secondary School Algebra: Building Bridges
ERIC Educational Resources Information Center
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…
Algebra and Algebraic Thinking in School Math: 70th YB
ERIC Educational Resources Information Center
National Council of Teachers of Mathematics, 2008
2008-01-01
Algebra is no longer just for college-bound students. After a widespread push by the National Council of Teachers of Mathematics (NCTM) and teachers across the country, algebra is now a required part of most curricula. However, students' standardized test scores are not at the level they should be. NCTM's seventieth yearbook takes a look at the…
Philip, Bobby; Chartier, Dr Timothy
2012-01-01
methods based on Local Sensitivity Analysis (LSA). The method can be used in the context of geometric and algebraic multigrid methods for constructing smoothers, and in the context of Krylov methods for constructing block preconditioners. It is suitable for both constant and variable coecient problems. Furthermore, the method can be applied to systems arising from both scalar and coupled system partial differential equations (PDEs), as well as linear systems that do not arise from PDEs. The simplicity of the method will allow it to be easily incorporated into existing multigrid and Krylov solvers while providing a powerful tool for adaptively constructing methods tuned to a problem.
Statecharts Via Process Algebra
NASA Technical Reports Server (NTRS)
Luttgen, Gerald; vonderBeeck, Michael; Cleaveland, Rance
1999-01-01
Statecharts is a visual language for specifying the behavior of reactive systems. The Language extends finite-state machines with concepts of hierarchy, concurrency, and priority. Despite its popularity as a design notation for embedded system, precisely defining its semantics has proved extremely challenging. In this paper, a simple process algebra, called Statecharts Process Language (SPL), is presented, which is expressive enough for encoding Statecharts in a structure-preserving and semantic preserving manner. It is establish that the behavioral relation bisimulation, when applied to SPL, preserves Statecharts semantics
2013-05-06
AMG2013 is a parallel algebraic multigrid solver for linear systems arising from problems on unstructured grids. It has been derived directly from the Boomer AMG solver in the hypre library, a large linear solvers library that is being developed in the Center for Applied Scientific Computing (CASC) at LLNL. The driver provided in the benchmark can build various test problems. The default problem is a Laplace type problem on an unstructured domain with various jumpsmore » and an anisotropy in one part.« less
The State of Mathematics Achievement in Hawaii: The Trial State Assessment at Grade Eight.
ERIC Educational Resources Information Center
National Assessment of Educational Progress, Princeton, NJ.
In 1990, the National Assessment of Educational Progress (NAEP) included a Trial State Assessment (TSA); for the first time in the NAEP's history, voluntary state-by-state assessments (37 states, the District of Columbia, Guam, and the Virgin Islands) were made. The sample was designed to represent the 8th grade public school population in a state…
Energy Systems - Present, Future: Extra Terrestrials, Grades 7, 8, 9,/Science.
ERIC Educational Resources Information Center
National Science Teachers Association, Washington, DC.
The 12 lessons presented in this guide are structured so that they may be integrated into science lessons in 7th-, 8th-, or 9th-grades. Suggestions are made for extension of study. Lessons are approached through classroom role-playing of outer space visitors who seek to understand energy conversion principles used on Earth. Major emphasis is…
ERIC Educational Resources Information Center
Garza, Anthony
2012-01-01
The purpose of this study was to examine selected factors related to the 8th grade mathematics achievement levels of English Language Learner (ELL) students in selected South Texas middle schools. The dependent variable, ELL mathematics achievement, was measured by the ELL student's raw score on the State of Texas Assessment of Academic…
Attitudes of Students in Grades Six, Eight, and Twelve Toward Television Commercials.
ERIC Educational Resources Information Center
Baumer, Larry; Starkey, John
A 20 item television commercial attitude survey given to 232 6th, 8th, and 12th grade students tested the hypotheses that: 1) younger children are more influenced by commercials than are older children; 2) that children are more apt to buy products which exert peer pressure upon them; and 3) that children are more susceptible to commercials which…
Engaging Parents of Eighth Grade Students in Parent-Teacher Bidirectional Communication
ERIC Educational Resources Information Center
Bennett-Conroy, Waveline
2012-01-01
This article describes the development and evaluation of a classroom-based, low-cost intervention to increase parents' involvement in their children's education. In Phase 1 of the study, 17 parents of 8th grade students in a low-income, high immigrant and minority school district were interviewed to conduct a qualitative assessment of factors…
NASA Astrophysics Data System (ADS)
Isaac, Phillip S.; Marquette, Ian
2016-03-01
We generalize the construction of integrals of motion for quantum superintegrable models and the deformed oscillator algebra approach. This is presented in the context of 1D systems admitting ladder operators satisfying a parabosonic algebra involving reflection operators and more generally {c}λ extended oscillator algebras with grading. We apply the construction on two-dimensional {c}λ oscillators. We also introduce two new superintegrable Hamiltonians that are the anisotropic Dunkl and the singular Dunkl oscillators. Integrals are constructed by extending the approach of Daskaloyannis to include grading. An algebraic derivation of the energy spectra of the two models is presented, making use of finite dimensional unitary representations. We show how the spectra divide into sectors, and make comparisons with the physical case.
Deformations of Poisson brackets and extensions of Lie algebras of contact vector fields
NASA Astrophysics Data System (ADS)
Ovsienko, V.; Roger, C.
1992-12-01
CONTENTSIntroduction § 1. Main theoremsChapter I. Algebra § 2. Moyal deformations of the Poisson bracket and *-product on \\mathbb R^{2n} § 3. Algebraic construction § 4. Central extensions § 5. ExamplesChapter II. Deformations of the Poisson bracket and *-product on an arbitrary symplectic manifold § 6. Formal deformations: definitions § 7. Graded Lie algebras as a means of describing deformations § 8. Cohomology computations and their consequences § 9. Existence of a *-productChapter III. Extensions of the Lie algebra of contact vector fields on an arbitrary contact manifold §10. Lagrange bracket §11. Extensions and modules of tensor fieldsAppendix 1. Extensions of the Lie algebra of differential operatorsAppendix 2. Examples of equations of Korteweg-de Vries typeReferences
The Algebra of Complex Numbers.
ERIC Educational Resources Information Center
LePage, Wilbur R.
This programed text is an introduction to the algebra of complex numbers for engineering students, particularly because of its relevance to important problems of applications in electrical engineering. It is designed for a person who is well experienced with the algebra of real numbers and calculus, but who has no experience with complex number…
Algebraic Squares: Complete and Incomplete.
ERIC Educational Resources Information Center
Gardella, Francis J.
2000-01-01
Illustrates ways of using algebra tiles to give students a visual model of competing squares that appear in algebra as well as in higher mathematics. Such visual representations give substance to the symbolic manipulation and give students who do not learn symbolically a way of understanding the underlying concepts of completing the square. (KHR)
ERIC Educational Resources Information Center
Buerman, Margaret
2007-01-01
Finding real-world examples for middle school algebra classes can be difficult but not impossible. As we strive to accomplish teaching our students how to solve and graph equations, we neglect to teach the big ideas of algebra. One of those big ideas is functions. This article gives three examples of functions that are found in Arches National…
Online Algebraic Tools for Teaching
ERIC Educational Resources Information Center
Kurz, Terri L.
2011-01-01
Many free online tools exist to complement algebraic instruction at the middle school level. This article presents findings that analyzed the features of algebraic tools to support learning. The findings can help teachers select appropriate tools to facilitate specific topics. (Contains 1 table and 4 figures.)
Condensing Algebra for Technical Mathematics.
ERIC Educational Resources Information Center
Greenfield, Donald R.
Twenty Algebra-Packets (A-PAKS) were developed by the investigator for technical education students at the community college level. Each packet contained a statement of rationale, learning objectives, performance activities, performance test, and performance test answer key. The A-PAKS condensed the usual sixteen weeks of algebra into a six-week…
Algebraic Thinking in Adult Education
ERIC Educational Resources Information Center
Manly, Myrna; Ginsburg, Lynda
2010-01-01
In adult education, algebraic thinking can be a sense-making tool that introduces coherence among mathematical concepts for those who previously have had trouble learning math. Further, a modeling approach to algebra connects mathematics and the real world, demonstrating the usefulness of math to those who have seen it as just an academic…
Linear Algebra and Image Processing
ERIC Educational Resources Information Center
Allali, Mohamed
2010-01-01
We use the computing technology digital image processing (DIP) to enhance the teaching of linear algebra so as to make the course more visual and interesting. Certainly, this visual approach by using technology to link linear algebra to DIP is interesting and unexpected to both students as well as many faculty. (Contains 2 tables and 11 figures.)
Exploring Algebraic Patterns through Literature.
ERIC Educational Resources Information Center
Austin, Richard A.; Thompson, Denisse R.
1997-01-01
Presents methods for using literature to develop algebraic thinking in an environment that connects algebra to various situations. Activities are based on the book "Anno's Magic Seeds" with additional resources listed. Students express a constant function, exponential function, and a recursive function in their own words as well as writing about…
Learning Algebra from Worked Examples
ERIC Educational Resources Information Center
Lange, Karin E.; Booth, Julie L.; Newton, Kristie J.
2014-01-01
For students to be successful in algebra, they must have a truly conceptual understanding of key algebraic features as well as the procedural skills to complete a problem. One strategy to correct students' misconceptions combines the use of worked example problems in the classroom with student self-explanation. "Self-explanation" is…
Thermodynamics. [algebraic structure
NASA Technical Reports Server (NTRS)
Zeleznik, F. J.
1976-01-01
The fundamental structure of thermodynamics is purely algebraic, in the sense of atopological, and it is also independent of partitions, composite systems, the zeroth law, and entropy. The algebraic structure requires the notion of heat, but not the first law. It contains a precise definition of entropy and identifies it as a purely mathematical concept. It also permits the construction of an entropy function from heat measurements alone when appropriate conditions are satisfied. Topology is required only for a discussion of the continuity of thermodynamic properties, and then the weak topology is the relevant topology. The integrability of the differential form of the first law can be examined independently of Caratheodory's theorem and his inaccessibility axiom. Criteria are established by which one can determine when an integrating factor can be made intensive and the pseudopotential extensive and also an entropy. Finally, a realization of the first law is constructed which is suitable for all systems whether they are solids or fluids, whether they do or do not exhibit chemical reactions, and whether electromagnetic fields are or are not present.
Invariants of triangular Lie algebras
NASA Astrophysics Data System (ADS)
Boyko, Vyacheslav; Patera, Jiri; Popovych, Roman
2007-07-01
Triangular Lie algebras are the Lie algebras which can be faithfully represented by triangular matrices of any finite size over the real/complex number field. In the paper invariants ('generalized Casimir operators') are found for three classes of Lie algebras, namely those which are either strictly or non-strictly triangular, and for so-called special upper triangular Lie algebras. Algebraic algorithm of Boyko et al (2006 J. Phys. A: Math. Gen.39 5749 (Preprint math-ph/0602046)), developed further in Boyko et al (2007 J. Phys. A: Math. Theor.40 113 (Preprint math-ph/0606045)), is used to determine the invariants. A conjecture of Tremblay and Winternitz (2001 J. Phys. A: Math. Gen.34 9085), concerning the number of independent invariants and their form, is corroborated.
NASA Astrophysics Data System (ADS)
Duru, F.; Gurnett, D. A.; Morgan, D. D.; Halekas, J. S.; DeJong, W.; Ertl, C.; Venable, A.; Wilkinson, C.; Lundin, R. N. A.; Frahm, R. A.; Winningham, D.; Plaut, J. J.; Connerney, J. E. P.; Espley, J. R.; Mahaffy, P. R.
2015-12-01
This study summarizes the effects of a strong coronal mass ejection (CME) on Mars as detected by Mars Atmosphere and Volatile Evolution Mission (MAVEN) in the solar wind and by Mars Express (MEX) in the nightside ionosphere. The Solar Wind Ion Analyzer (SWIA) onboard MAVEN identified a strong CME on March 8th, 2015, characterized by an increase in the solar wind density and solar wind speeds up to about 800 km/s. Simultaneously with the MAVEN observations, the Mars Advanced Radar for Subsurface and Ionospheric Sounding (MARSIS) on MEX detected unusually high local electron density and local magnetic field values in the nightside Martian ionosphere. The Ion Mass Analyzer (IMA) on Analyzer of Space Plasmas and Energetic Atoms (ASPERA-3) instrument, also on MEX, saw a sharp CME front followed by an increase in the ion speed and a sharp enhancement in the electron flux seen by the ASPERA-3 Electron Spectrometer (ELS) signals the CME. ASPERA-3 data also suggest an increase in the plasma temperature when the shock hits Mars. Finally, the peak ionospheric density obtained with MARSIS remote sounding exhibits a discrete enhancement over a period of about 30 hrs around the same latitude and local time. We believe that this high density ionospheric plasma is forced by the CME from dayside to the nightside towards high altitudes.
Molnár, Erika; Donoghue, Helen D; Lee, Oona Y-C; Wu, Houdini H T; Besra, Gurdyal S; Minnikin, David E; Bull, Ian D; Llewellyn, Gareth; Williams, Christopher M; Spekker, Olga; Pálfi, György
2015-06-01
Macromorphological analysis of skeletons, from 20 selected graves of the 8th century AD Bélmegyer-Csömöki domb, revealed 19 cases of possible skeletal tuberculosis. Biomolecular analyses provided general support for such diagnoses, including the individual without pathology, but the data did not show coherent consistency over the range of biomarkers examined. Amplification of ancient DNA fragments found evidence for the Mycobacterium tuberculosis complex DNA only in five graves. In contrast, varying degrees of lipid biomarker presence were recorded in all except two of the skeletons, though most lipid components appeared to be somewhat degraded. Mycobacterial mycolic acid biomarkers were absent in five cases, but the weak, possibly degraded profiles for the remainder were smaller and inconclusive for either tuberculosis or leprosy. The most positive lipid biomarker evidence for tuberculosis was provided by mycolipenic acid, with 13 clear cases, supported by five distinct possible cases. Combinations of mycocerosic acids were present in all but three graves, but in one case a tuberculosis-leprosy co-infection was indicated. In two specimens with pathology, no lipid biomarker evidence was recorded, but one of these specimens provided M. tuberculosis complex DNA fragments. PMID:25771204
Not Available
1994-11-22
The South 8th Street Landfill site is located along South 8th Street on the west bank of the Mississippi River in West Memphis, Crittenden County, Arkansas. Previous studies and environmental sampling indicate that various wastes disposed of at the South 8th Street Landfill have contaminated the site with a number of contaminants including VOCs, PAHs, phenols, PCBs, pesticides, and heavy metals. Exposure to surface soil contaminants would have occurred through skin contact and incidental ingestion. In addition, persons who used the on-site pond for recreational activities (such as wading and swimming) were likely exposed to contaminants in the surface water and sediments through skin contact and incidental ingestion; and persons who consumed fish caught in the pond were likely exposed to contaminants (primarily mercury) in the fish.
ERIC Educational Resources Information Center
Gonzalez-Vega, Laureano
1999-01-01
Using a Computer Algebra System (CAS) to help with the teaching of an elementary course in linear algebra can be one way to introduce computer algebra, numerical analysis, data structures, and algorithms. Highlights the advantages and disadvantages of this approach to the teaching of linear algebra. (Author/MM)
Chen, J.; Safro, I.
2011-01-01
Measuring the connection strength between a pair of vertices in a graph is one of the most important concerns in many graph applications. Simple measures such as edge weights may not be sufficient for capturing the effects associated with short paths of lengths greater than one. In this paper, we consider an iterative process that smooths an associated value for nearby vertices, and we present a measure of the local connection strength (called the algebraic distance; see [D. Ron, I. Safro, and A. Brandt, Multiscale Model. Simul., 9 (2011), pp. 407-423]) based on this process. The proposed measure is attractive in that the process is simple, linear, and easily parallelized. An analysis of the convergence property of the process reveals that the local neighborhoods play an important role in determining the connectivity between vertices. We demonstrate the practical effectiveness of the proposed measure through several combinatorial optimization problems on graphs and hypergraphs.
Constraint algebra in bigravity
Soloviev, V. O.
2015-07-15
The number of degrees of freedom in bigravity theory is found for a potential of general form and also for the potential proposed by de Rham, Gabadadze, and Tolley (dRGT). This aim is pursued via constructing a Hamiltonian formalismand studying the Poisson algebra of constraints. A general potential leads to a theory featuring four first-class constraints generated by general covariance. The vanishing of the respective Hessian is a crucial property of the dRGT potential, and this leads to the appearance of two additional second-class constraints and, hence, to the exclusion of a superfluous degree of freedom—that is, the Boulware—Deser ghost. The use of a method that permits avoiding an explicit expression for the dRGT potential is a distinctive feature of the present study.
Quantum algebra of N superspace
Hatcher, Nicolas; Restuccia, A.; Stephany, J.
2007-08-15
We identify the quantum algebra of position and momentum operators for a quantum system bearing an irreducible representation of the super Poincare algebra in the N>1 and D=4 superspace, both in the case where there are no central charges in the algebra, and when they are present. This algebra is noncommutative for the position operators. We use the properties of superprojectors acting on the superfields to construct explicit position and momentum operators satisfying the algebra. They act on the projected wave functions associated to the various supermultiplets with defined superspin present in the representation. We show that the quantum algebra associated to the massive superparticle appears in our construction and is described by a supermultiplet of superspin 0. This result generalizes the construction for D=4, N=1 reported recently. For the case N=2 with central charges, we present the equivalent results when the central charge and the mass are different. For the {kappa}-symmetric case when these quantities are equal, we discuss the reduction to the physical degrees of freedom of the corresponding superparticle and the construction of the associated quantum algebra.
A Z{sub 3} generalization of Pauli's principle, quark algebra and the Lorentz invariance
Kerner, Richard
2012-09-24
The fundamental difference between bosons and fermions is that they obey two alternative representations of the Z{sub 2} group, resulting in symmetric or anti-symmetric binary commutation relations. Our aim is to explore possibilities offered by ternary Z{sub 3} generalization commutation relations. This leads to cubic and ternary algebras which are a direct generalization of usual commutation relations, with Z{sub 3}-grading replacing the usual Z{sub 2}-grading. Properties and structure of such algebras are discussed, with special interest in a low-dimensional one, with two generators. Invariant cubic forms on such algebras are introduced, and it is shown how the SL(2,C) group arises naturally as the symmetry group preserving these forms. In the case of lowest dimension, with only two generators, it is shown how the cubic combinations of elements of the same Z{sub 3} grade behave like Lorentz spinors, while binary products of elements of this algebra with an element of the conjugate algebra behave like Lorentz vectors. The wave equation generalizing the Dirac operator to the Z{sub 3}-graded case is introduced, whose diagonalization leads to a third-order equation. The solutions of this equation cannot propagate because their exponents always contain non-oscillating real damping factor. We show how certain cubic products can propagate nevertheless. The model suggests the origin of the color SU(3) symmetry obeyed by quark states.
Taiwanese Arithmetic and Algebra
ERIC Educational Resources Information Center
Lo, Jane-Jane; Tsai, Feng-Chiu
2011-01-01
Taiwanese students consistently rank near the top on international exams on mathematics and science. In 2007, Taiwan recorded the highest TIMSS math score for eighth grade. The central education agency in Taiwan publishes detailed mathematics curriculum guidelines, which textbooks and national exams follow closely. In May each year, all ninth…
Personalized Learning in Algebra
ERIC Educational Resources Information Center
Walkington, Candace; Sherman, Milan; Howell, Elizabeth
2014-01-01
Mathematical "funds of knowledge" (Civil 2007) that students bring from their community and home lives can offer entry points for concepts such as functions and rate of change, which are important "big ideas" across all grade levels (NCTM 2000). The Common Core State Standards (CCSSI 2010) ask high school students to…
Using Homemade Algebra Tiles To Develop Algebra and Prealgebra Concepts.
ERIC Educational Resources Information Center
Leitze, Annette Ricks; Kitt, Nancy A.
2000-01-01
Describes how to use homemade tiles, sketches, and the box method to reach a broader group of students for successful algebra learning. Provides a list of concepts appropriate for such an approach. (KHR)
Distance geometry and geometric algebra
NASA Astrophysics Data System (ADS)
Dress, Andreas W. M.; Havel, Timothy F.
1993-10-01
As part of his program to unify linear algebra and geometry using the language of Clifford algebra, David Hestenes has constructed a (well-known) isomorphism between the conformal group and the orthogonal group of a space two dimensions higher, thus obtaining homogeneous coordinates for conformal geometry.(1) In this paper we show that this construction is the Clifford algebra analogue of a hyperbolic model of Euclidean geometry that has actually been known since Bolyai, Lobachevsky, and Gauss, and we explore its wider invariant theoretic implications. In particular, we show that the Euclidean distance function has a very simple representation in this model, as demonstrated by J. J. Seidel.(18)
Hopf algebras and Dyson-Schwinger equations
NASA Astrophysics Data System (ADS)
Weinzierl, Stefan
2016-06-01
In this paper I discuss Hopf algebras and Dyson-Schwinger equations. This paper starts with an introduction to Hopf algebras, followed by a review of the contribution and application of Hopf algebras to particle physics. The final part of the paper is devoted to the relation between Hopf algebras and Dyson-Schwinger equations.
ERIC Educational Resources Information Center
Fletcher, Richard Kenard, Jr.
This study was designed to determine experimentally the relationship between achievement and grade level for 64 tenth-grade students, 48 eleventh-grade students, and 95 twelfth-grade physics students. All students were enrolled in the Project Physics course in their respective schools. The Physics Achievement Test (PAT) and the algebra I and II…
Lewis, S.E.; Berg, R.B.
1988-07-01
Two field trips held in conjunction with the 8th International Conference on Basement Tectonics are the raison d'etre for this volume, which would perhaps otherwise seem an eclectic association. The unifying theme is an investigation of the nature of plate margins in time and space, consonant with the main theme of the conference, Characterization and Comparison of Precambrian Through Mesozoic Continental Margins. Papers presented at the conference will be published in a separate volume by the International Basement Tectonics Association, Inc. The first field trip is at least a preliminary attempt at an overview of the Precambrian (predominantly Archean) crystalline basement of southwestern Montana. A number of interesting investigations have been focused on this region in recent years. Thus, papers in the first part of this volume take the reader from the Stillwater Complex across the Beartooth Plateau, to the northern borders of Yellowstone National Park on to the southern Madison Range, and finally to some of the western-most (probable) Archean exposures in the Highland Mountains south of Butte. Moving considerably forward on the geologic time scale, the other broad topic dealt with in a second field trip and complementary articles is a relatively recent collisional terrane in central Idaho and eastern Oregon. Examined are portions of the Idaho batholith and its enigmatic and fascinating marginal rocks, and to the west, the heart of the suture zone itself in the Wallowa-Seven Devils terrane with its group of exotic intrusive, metavolcanic, and metasedimentary rocks. Individual papers are processed separately for the data base.
Pan, Jian Ji; Ng, Wai Tong; Zong, Jing Feng; Chan, Lucy L. K.; O’Sullivan, Brian; Lin, Shao Jun; Sze, Henry C. K.; Chen, Yun Bin; Choi, Horace C.W.; Guo, Qiao Juan; Kan, Wai Kuen; Xiao, You Ping; Wei, Xu; Le, Quynh Thu; Glastonbury, Christine M.; Colevas, A. Dimitrios; Weber, Randal S.; Shah, Jatin P.; Lee, Anne W. M.
2016-01-01
BACKGROUND An accurate staging system is crucial for cancer management. Evaluations for continual suitability and improvement are needed as staging and treatment methods evolve. METHODS This was a retrospective study of 1609 patients with nasopharyngeal carcinoma investigated by magnetic resonance imaging, staged with the 7th edition of the American Joint Committee on Cancer (AJCC)/International Union Against Cancer (UICC) staging system, and irradiated by intensity-modulated radiotherapy at 2 centers in Hong Kong and mainland China. RESULTS Among the patients without other T3/T4 involvement, there were no significant differences in overall survival (OS) between medial pterygoid muscle (MP)±lateral pterygoid muscle (LP), prevertebral muscle, and parapharyngeal space involvement. Patients with extensive soft tissue involvement beyond the aforementioned structures had poor OS similar to that of patients with intracranial extension and/or cranial nerve palsy. Only 2% of the patients had lymph nodes>6cm above the supraclavicular fossa (SCF), and their outcomes resembled the outcomes of those with low extension. Replacing SCF with the lower neck (extension below the caudal border of the cricoid cartilage) did not affect the hazard distinction between different N categories. With the proposed T and N categories, there were no significant differences in outcome between T4N0-2 and T1-4N3 disease. CONCLUSIONS After a review by AJCC/UICC preparatory committees, the changes recommended for the 8th edition include changing MP/LP involvement from T4 to T2, adding prevertebral muscle involvement as T2, replacing SCF with the lower neck and merging this with a maximum nodal diameter>6 cm as N3, and merging T4 and N3 as stage IVA criteria. These changes will lead not only to a better distinction of hazards between adjacent stages/categories but also to optimal balance in clinical practicability and global applicability. PMID:26588425
Sequential products on effect algebras
NASA Astrophysics Data System (ADS)
Gudder, Stan; Greechie, Richard
2002-02-01
A sequential effect algebra (SEA) is an effect algebra on which a sequential product with natural properties is defined. The properties of sequential products on Hilbert space effect algebras are discussed. For a general SEA, relationships between sequential independence, coexistence and compatibility are given. It is shown that the sharp elements of a SEA form an orthomodular poset. The sequential center of a SEA is discussed and a characterization of when the sequential center is isomorphic to a fuzzy set system is presented. It is shown that the existence, of a sequential product is a strong restriction that eliminates many effect algebras from being SEA's. For example, there are no finite nonboolean SEA's, A measure of sharpness called the sharpness index is studied. The existence of horizontal sums of SEA's is characterized and examples of horizontal sums and tensor products are presented.
Curvature calculations with spacetime algebra
Hestenes, D.
1986-06-01
A new method for calculating the curvature tensor is developed and applied to the Scharzschild case. The method employs Clifford algebra and has definite advantages over conventional methods using differential forms or tensor analysis.
GCD, LCM, and Boolean Algebra?
ERIC Educational Resources Information Center
Cohen, Martin P.; Juraschek, William A.
1976-01-01
This article investigates the algebraic structure formed when the process of finding the greatest common divisor and the least common multiple are considered as binary operations on selected subsets of positive integers. (DT)
Cartooning in Algebra and Calculus
ERIC Educational Resources Information Center
Moseley, L. Jeneva
2014-01-01
This article discusses how teachers can create cartoons for undergraduate math classes, such as college algebra and basic calculus. The practice of cartooning for teaching can be helpful for communication with students and for students' conceptual understanding.
NASA Technical Reports Server (NTRS)
Klumpp, A. R.; Lawson, C. L.
1988-01-01
Routines provided for common scalar, vector, matrix, and quaternion operations. Computer program extends Ada programming language to include linear-algebra capabilities similar to HAS/S programming language. Designed for such avionics applications as software for Space Station.
Semiclassical states on Lie algebras
Tsobanjan, Artur
2015-03-15
The effective technique for analyzing representation-independent features of quantum systems based on the semiclassical approximation (developed elsewhere) has been successfully used in the context of the canonical (Weyl) algebra of the basic quantum observables. Here, we perform the important step of extending this effective technique to the quantization of a more general class of finite-dimensional Lie algebras. The case of a Lie algebra with a single central element (the Casimir element) is treated in detail by considering semiclassical states on the corresponding universal enveloping algebra. Restriction to an irreducible representation is performed by “effectively” fixing the Casimir condition, following the methods previously used for constrained quantum systems. We explicitly determine the conditions under which this restriction can be consistently performed alongside the semiclassical truncation.
NASA Astrophysics Data System (ADS)
Lannes, A.; Teunissen, P. J. G.
2011-05-01
The first objective of this paper is to show that some basic concepts used in global navigation satellite systems (GNSS) are similar to those introduced in Fourier synthesis for handling some phase calibration problems. In experimental astronomy, the latter are at the heart of what is called `phase closure imaging.' In both cases, the analysis of the related structures appeals to the algebraic graph theory and the algebraic number theory. For example, the estimable functions of carrier-phase ambiguities, which were introduced in GNSS to correct some rank defects of the undifferenced equations, prove to be `closure-phase ambiguities:' the so-called `closure-delay' (CD) ambiguities. The notion of closure delay thus generalizes that of double difference (DD). The other estimable functional variables involved in the phase and code undifferenced equations are the receiver and satellite pseudo-clock biases. A related application, which corresponds to the second objective of this paper, concerns the definition of the clock information to be broadcasted to the network users for their precise point positioning (PPP). It is shown that this positioning can be achieved by simply having access to the satellite pseudo-clock biases. For simplicity, the study is restricted to relatively small networks. Concerning the phase for example, these biases then include five components: a frequency-dependent satellite-clock error, a tropospheric satellite delay, an ionospheric satellite delay, an initial satellite phase, and an integer satellite ambiguity. The form of the PPP equations to be solved by the network user is then similar to that of the traditional PPP equations. As soon as the CD ambiguities are fixed and validated, an operation which can be performed in real time via appropriate decorrelation techniques, estimates of these float biases can be immediately obtained. No other ambiguity is to be fixed. The satellite pseudo-clock biases can thus be obtained in real time. This is
Hopf algebras and topological recursion
NASA Astrophysics Data System (ADS)
Esteves, João N.
2015-11-01
We consider a model for topological recursion based on the Hopf algebra of planar binary trees defined by Loday and Ronco (1998 Adv. Math. 139 293-309 We show that extending this Hopf algebra by identifying pairs of nearest neighbor leaves, and thus producing graphs with loops, we obtain the full recursion formula discovered by Eynard and Orantin (2007 Commun. Number Theory Phys. 1 347-452).
2005-04-11
The ALGEBRA program allows the user to manipulate data from a finite element analysis before it is plotted. The finite element output data is in the form of variable values (e.g., stress, strain, and velocity components) in an EXODUS II database. The ALGEBRA program evaluates user-supplied functions of the data and writes the results to an output EXODUS II database that can be read by plot programs.
ERIC Educational Resources Information Center
Wood, Bonnie S.; Brown, Lorrie A.
1997-01-01
Details a study in which grade 9 females were assigned to either an all-female or mixed-sex algebra class. Findings indicate that the all-female intervention group demonstrated a greater gain in math scores between grades 8-11 than the nonintervention group. Contains 41 references. (DDR)
Reeve, Wayne
2013-03-01
Wayne Reeve of Murdoch University on "Genomics Encyclopedia of Bacteria and Archaea-Root Nodule Bacteria (GEBA-RNB): a resource for microsymbiont genomes" at the 8th Annual Genomics of Energy & Environment Meeting on March 27, 2013 in Walnut Creek, Calif.
NASA Technical Reports Server (NTRS)
Miller, R. L.; Truong, T. K.; Reed, I. S.
1980-01-01
The paper deals with a method developed for decoding a (255, 223) Reed-Solomon code over GF(2 to the 8th) with both errors and erasures. The matrix of decoding times for correcting errors and erasures of the code using a simplified decoder is presented. It is shown that the algorithm proposed is faster by a factor of from three to seven.
Technical comments are provided to the Air and waste Management Associations AB-3 committee for potential inclusion into the committee's comments to be made at EPA's 8th Conference on Air Quality Modeling. Computational Fluid Dynamics (CFD) simulations can model specific cases wh...
ERIC Educational Resources Information Center
American Industrial Arts Association, Washington, DC.
Included in this document are the addresses and proceedings of the 41st National and 8th International Annual Conference of the American Industrial Arts Association. The proceedings are organized by the following subject groups: curriculum, drafting, electricity/electronics, elementary school industrial arts, energy/power, evaluation, futurology,…
NASA Astrophysics Data System (ADS)
Kuzmin, Dmitri; Möller, Matthias; Gurris, Marcel
Flux limiting for hyperbolic systems requires a careful generalization of the design principles and algorithms introduced in the context of scalar conservation laws. In this chapter, we develop FCT-like algebraic flux correction schemes for the Euler equations of gas dynamics. In particular, we discuss the construction of artificial viscosity operators, the choice of variables to be limited, and the transformation of antidiffusive fluxes. An a posteriori control mechanism is implemented to make the limiter failsafe. The numerical treatment of initial and boundary conditions is discussed in some detail. The initialization is performed using an FCT-constrained L 2 projection. The characteristic boundary conditions are imposed in a weak sense, and an approximate Riemann solver is used to evaluate the fluxes on the boundary. We also present an unconditionally stable semi-implicit time-stepping scheme and an iterative solver for the fully discrete problem. The results of a numerical study indicate that the nonlinearity and non-differentiability of the flux limiter do not inhibit steady state convergence even in the case of strongly varying Mach numbers. Moreover, the convergence rates improve as the pseudo-time step is increased.
ERIC Educational Resources Information Center
Fong, Anthony B.; Jaquet, Karina; Finkelstein, Neal
2014-01-01
This REL West study explores the prevalence of students repeating Algebra I, who is most likely to repeat the course, and the level of improvement for students who repeat. Using six years of data from a cohort of 3,400 first-time seventh grade students in a California school district, authors found that 44 percent of students repeated algebra I.…
Building a Foundation for Learning Algebra in the Elementary Grades.
ERIC Educational Resources Information Center
Carpenter, Thomas P.; Levi, Linda; Farnsworth, Valerie
2000-01-01
"In Brief" focuses on K-12 mathematics and science research and implications for policymakers, educators, and researchers seeking to improve student learning and achievement This brief highlights the learning gains of 240 elementary students involved in a long-term study in Madison, Wisconsin and their remarkable ability to reason with arithmetic…
Middle Grades Students' Algebraic Understanding in a Reform Curriculum
ERIC Educational Resources Information Center
Krebs, Angela S.
2003-01-01
The National Council of Teachers of Mathematics' "Curriculum and Evaluation Standards" in 1989 was pivotal in mathematics reform. The National Science Foundation funded several curriculum projects to address the vision described in the "Standards." This study investigates students' learning in one of these "Standards"-based curricula, the…
Bilinear covariants and spinor fields duality in quantum Clifford algebras
Abłamowicz, Rafał; Gonçalves, Icaro; Rocha, Roldão da
2014-10-15
Classification of quantum spinor fields according to quantum bilinear covariants is introduced in a context of quantum Clifford algebras on Minkowski spacetime. Once the bilinear covariants are expressed in terms of algebraic spinor fields, the duality between spinor and quantum spinor fields can be discussed. Thus, by endowing the underlying spacetime with an arbitrary bilinear form with an antisymmetric part in addition to a symmetric spacetime metric, quantum algebraic spinor fields and deformed bilinear covariants can be constructed. They are thus compared to the classical (non quantum) ones. Classes of quantum spinor fields classes are introduced and compared with Lounesto's spinor field classification. A physical interpretation of the deformed parts and the underlying Z-grading is proposed. The existence of an arbitrary bilinear form endowing the spacetime already has been explored in the literature in the context of quantum gravity [S. W. Hawking, “The unpredictability of quantum gravity,” Commun. Math. Phys. 87, 395 (1982)]. Here, it is shown further to play a prominent role in the structure of Dirac, Weyl, and Majorana spinor fields, besides the most general flagpoles and flag-dipoles. We introduce a new duality between the standard and the quantum spinor fields, by showing that when Clifford algebras over vector spaces endowed with an arbitrary bilinear form are taken into account, a mixture among the classes does occur. Consequently, novel features regarding the spinor fields can be derived.
Bilinear covariants and spinor fields duality in quantum Clifford algebras
NASA Astrophysics Data System (ADS)
Abłamowicz, Rafał; Gonçalves, Icaro; da Rocha, Roldão
2014-10-01
Classification of quantum spinor fields according to quantum bilinear covariants is introduced in a context of quantum Clifford algebras on Minkowski spacetime. Once the bilinear covariants are expressed in terms of algebraic spinor fields, the duality between spinor and quantum spinor fields can be discussed. Thus, by endowing the underlying spacetime with an arbitrary bilinear form with an antisymmetric part in addition to a symmetric spacetime metric, quantum algebraic spinor fields and deformed bilinear covariants can be constructed. They are thus compared to the classical (non quantum) ones. Classes of quantum spinor fields classes are introduced and compared with Lounesto's spinor field classification. A physical interpretation of the deformed parts and the underlying {Z}-grading is proposed. The existence of an arbitrary bilinear form endowing the spacetime already has been explored in the literature in the context of quantum gravity [S. W. Hawking, "The unpredictability of quantum gravity," Commun. Math. Phys. 87, 395 (1982)]. Here, it is shown further to play a prominent role in the structure of Dirac, Weyl, and Majorana spinor fields, besides the most general flagpoles and flag-dipoles. We introduce a new duality between the standard and the quantum spinor fields, by showing that when Clifford algebras over vector spaces endowed with an arbitrary bilinear form are taken into account, a mixture among the classes does occur. Consequently, novel features regarding the spinor fields can be derived.
Nonnumeric Computer Applications to Algebra, Trigonometry and Calculus.
ERIC Educational Resources Information Center
Stoutemyer, David R.
1983-01-01
Described are computer program packages requiring little or no knowledge of computer programing for college algebra, calculus, and abstract algebra. Widely available computer algebra systems are listed. (MNS)
ERIC Educational Resources Information Center
Boone, Adriane
2010-01-01
This applied dissertation was designed to provide a formative evaluation of junior high and high school curriculum reform as part of a state initiated pilot program in a rural school district in southwest Mississippi. The purpose of the program was to address and respond to the 8th-grade technology literacy requirements of the No Child Left Behind…
ERIC Educational Resources Information Center
Grana, David P.
2010-01-01
The disparity in academic achievement between African American and White students in all levels of education has been one of the critical issues in education. The purpose of this study was to determine the influence of school, community, and family on African American and White students' on the 8 th grade mathematics scores on the Missouri…
ERIC Educational Resources Information Center
Fradiska, John
This booklet, one of a series developed by the Frederick County Board of Education, Frederick, Maryland, provides an instruction module for an individualized or flexible approach to 7th, 8th, and 9th grade science teaching. Subjects and activities in this series of booklets are designed to supplement a basic curriculum or to form a total…
ERIC Educational Resources Information Center
Kaya, Osman Nafiz; Dogan, Alev; Gokcek, Nur; Kilic, Ziya; Kilic, Esma
2007-01-01
The purpose of this study was to investigate the effects of multiple intelligences (MI) teaching approach on 8th Grade students' achievement in and attitudes toward science. This study used a pretest-posttest control group experimental design. While the experimental group (n=30) was taught a unit on acids and bases using MI teaching approach, the…
ERIC Educational Resources Information Center
Kingsley, David E.
This paper reports on models that clarify the meaning of trends in 8th grade smoking in one of America's most rural and least densely populated states. It is based on cross-sectional analysis of data collected in the "Kansas Communities That Care Survey" from 1995 to 1999. The analysis of trends data is presented in table form utilizing techniques…
ERIC Educational Resources Information Center
Ford, Nelson S.
This booklet, one of a series developed by the Frederick County Board of Education, Frederick, Maryland, provides an instruction module for an individualized or flexible approach to 7th, 8th, and 9th grade science teaching. Subjects and activities in this series of booklets are designed to supplement a basic curriculum or to form a total…
ERIC Educational Resources Information Center
Best, Terrence
This booklet, one of a series developed by the Frederick County Board of Education, Frederick, Maryland, provides an instruction module for an individualized or flexible approach to 7th, 8th, and 9th grade science teaching. Subjects and activities in this series of booklets are designed to supplement a basic curriculum or to form a total…
ERIC Educational Resources Information Center
Darnell, Janice Marie
2012-01-01
The purpose of this correlational study was to examine Georgia's Criterion-Referenced Competency Test (CRCT) scores of 8th grade students and End of Course Test (EOCT) scores of the same students as 9th graders in the areas of language arts and mathematics to test the theory that a relationship exists between the two tests. The study also…
ERIC Educational Resources Information Center
Ohio State Dept. of Education, Columbus.
This educational kit includes a teacher's workbook, a student's workbook, 55 reproducible student handouts, and a 6-session, 60-minute videotape. The program complements the nutrition subject area of Ohio's Competency-Based Program in Health and Physical Education for grades 7-8. Activities are interdisciplinary and closely related to the…
Powell, Sarah R; Fuchs, Lynn S
2014-08-01
According to national mathematics standards, algebra instruction should begin at kindergarten and continue through elementary school. Most often, teachers address algebra in the elementary grades with problems related to solving equations or understanding functions. With 789 2(nd)- grade students, we administered (a) measures of calculations and word problems in the fall and (b) an assessment of pre-algebraic reasoning, with items that assessed solving equations and functions, in the spring. Based on the calculation and word-problem measures, we placed 148 students into 1 of 4 difficulty status categories: typically performing, calculation difficulty, word-problem difficulty, or difficulty with calculations and word problems. Analyses of variance were conducted on the 148 students; path analytic mediation analyses were conducted on the larger sample of 789 students. Across analyses, results corroborated the finding that word-problem difficulty is more strongly associated with difficulty with pre-algebraic reasoning. As an indicator of later algebra difficulty, word-problem difficulty may be a more useful predictor than calculation difficulty, and students with word-problem difficulty may require a different level of algebraic reasoning intervention than students with calculation difficulty. PMID:25309044
Virasoro algebra in the KN algebra; Bosonic string with fermionic ghosts on Riemann surfaces
Koibuchi, H. )
1991-10-10
In this paper the bosonic string model with fermionic ghosts is considered in the framework of the KN algebra. The authors' attentions are paid to representations of KN algebra and a Clifford algebra of the ghosts. The authors show that a Virasoro-like algebra is obtained from KN algebra when KN algebra has certain antilinear anti-involution, and that it is isomorphic to the usual Virasoro algebra. The authors show that there is an expected relation between a central charge of this Virasoro-like algebra and an anomaly of the combined system.
Invertible linear transformations and the Lie algebras
NASA Astrophysics Data System (ADS)
Zhang, Yufeng; Tam, Honwah; Guo, Fukui
2008-07-01
With the help of invertible linear transformations and the known Lie algebras, a way to generate new Lie algebras is given. These Lie algebras obtained have a common feature, i.e. integrable couplings of solitary hierarchies could be obtained by using them, specially, the Hamiltonian structures of them could be worked out. Some ways to construct the loop algebras of the Lie algebras are presented. It follows that some various loop algebras are given. In addition, a few new Lie algebras are explicitly constructed in terms of the classification of Lie algebras proposed by Ma Wen-Xiu, which are bases for obtaining new Lie algebras by using invertible linear transformations. Finally, some solutions of a (2 + 1)-dimensional partial-differential equation hierarchy are obtained, whose Hamiltonian form-expressions are manifested by using the quadratic-form identity.
Strengthening Grade 3-5 Students' Foundational Knowledge of Rational Numbers
ERIC Educational Resources Information Center
Good, Thomas L.; Wood, Marcy B.; Sabers, Darrell; Olson, Amy M.; Lavigne, Alyson Leah; Sun, Huaping; Kalinec-Craig, Crystal
2013-01-01
Background: American students have done poorly in algebra and that has generated policy concerns about preparing students for STEM careers. There has been growing recognition that the algebra problem may begin in earlier grades when students do not adequately master rational numbers. Purpose: The study provided a series of workshops organized…
ERIC Educational Resources Information Center
Curry, Steven James
2012-01-01
This quantitative study investigated relationships between higher level mathematics learning and multiplication fact fluency, multiplication fact speed-recall, and reading grade equivalency of eighth grade students in Algebra I and Pre-Algebra. Higher level mathematics learning was indicated by an average score of 80% or higher on first and second…
Beyond Dirac - a Unified Algebra
NASA Astrophysics Data System (ADS)
Lundberg, Wayne R.
2001-10-01
A introductory insight will be shared regarding a 'separation of variables' approach to understanding the relationship between QCD and the origins of cosmological and particle mass. The discussion will then build upon work presented at DFP 2000, focussing on the formal basis for using 3x3x3 matrix algebra as it underlies and extends Dirac notation. A set of restrictions are established which break the multiple symmetries of the 3x3x3 matrix algebra, yielding Standard Model QCD objects and interactions. It will be shown that the 3x3x3 matrix representation unifies the algebra of strong and weak (and by extension, electromagnetic) interactions. A direct correspondence to string theoretic objects is established by considering the string to be partitioned in thirds. Rubik's cube is used as a graphical means of handling algebraic manipulation of 3x3x3 algebra. Further, its potential utility for advancing pedagogical methods through active engagement is discussed. A simulated classroom exercize will be conducted.
Moving frames and prolongation algebras
NASA Technical Reports Server (NTRS)
Estabrook, F. B.
1982-01-01
Differential ideals generated by sets of 2-forms which can be written with constant coefficients in a canonical basis of 1-forms are considered. By setting up a Cartan-Ehresmann connection, in a fiber bundle over a base space in which the 2-forms live, one finds an incomplete Lie algebra of vector fields in the fields in the fibers. Conversely, given this algebra (a prolongation algebra), one can derive the differential ideal. The two constructs are thus dual, and analysis of either derives properties of both. Such systems arise in the classical differential geometry of moving frames. Examples of this are discussed, together with examples arising more recently: the Korteweg-de Vries and Harrison-Ernst systems.
Early Algebra with Graphics Software as a Type II Application of Technology
ERIC Educational Resources Information Center
Abramovich, Sergei
2006-01-01
This paper describes the use of Kid Pix-graphics software for creative activities of young children--in the context of early algebra as determined by the mathematics core curriculum of New York state. It shows how grade-two appropriate pedagogy makes it possible to bring about a qualitative change in the learning process of those commonly…
Flipping an Algebra Classroom: Analyzing, Modeling, and Solving Systems of Linear Equations
ERIC Educational Resources Information Center
Kirvan, Rebecca; Rakes, Christopher R.; Zamora, Regie
2015-01-01
The present study investigated whether flipping an algebra classroom led to a stronger focus on conceptual understanding and improved learning of systems of linear equations for 54 seventh- and eighth-grade students using teacher journal data and district-mandated unit exam items. Multivariate analysis of covariance was used to compare scores on…
Step-by-Step Solution Possibilities in Different Computer Algebra Systems.
ERIC Educational Resources Information Center
Tonisson, Eno
This paper compares a number of different Computer Algebra Systems (CAS) in their solution of one-step and multi-step problems. The CAS programs considered include DERIVE, Maple, Mathematica, and MuPAD while the problems are taken from the final examinations of grades 9 and 12 in Estonian schools. The different outputs to one-step problems with…
Indicators of Student Engagement: What Teachers Notice during Introductory Algebra Lessons
ERIC Educational Resources Information Center
Nyman, Rimma
2015-01-01
This article presents results from an empirical study of how student engagement is visible during introductory algebra. Previously, the notion of engagement in mathematics has been studied from students' and researchers' perspectives. This study is instead focused on teachers' perspectives on student engagement. Eight teachers in grade 6-7 have…
Introducing a Computer Algebra System in Mathematics Education--Empirical Evidence from Germany
ERIC Educational Resources Information Center
Schmidt, Karsten; Kohler, Anke; Moldenhauer, Wolfgang
2009-01-01
This paper reports on the effects the use of a pocket calculator-based computer algebra system (CAS) has on the performance in mathematics of grade 11 students in Germany. A project started at 8 of about one hundred upper secondary schools in the federal state of Thuringia in 1999; 3 years later the former restrictions on the use of technology in…
ERIC Educational Resources Information Center
Fong, Anthony; Jaquet, Karina; Finkelstein, Neal
2016-01-01
The information provided in this report shows how students perform when they repeat algebra I and how the level of improvement varies depending on initial course performance and the academic measure (course grades or CST scores). This information can help inform decisions and policies regarding whether and under what circumstances students should…
Proposing and Testing a Model to Explain Traits of Algebra Preparedness
ERIC Educational Resources Information Center
Venenciano, Linda; Heck, Ronald
2016-01-01
Early experiences with theoretical thinking and generalization in measurement are hypothesized to develop constructs we name here as logical reasoning and preparedness for algebra. Based on work of V. V. Davydov (1975), the Measure Up (MU) elementary grades experimental mathematics curriculum uses quantities of area, length, volume, and mass to…
The Effects of the Elevate Math Summer Program on Math Achievement and Algebra Readiness
ERIC Educational Resources Information Center
Snipes, Jason; Huang, Chun-Wei; Jaquet, Karina; Finkelstein, Neal
2016-01-01
To raise math success rates in middle school, many schools and districts have implemented summer math programs designed to improve student preparation for algebra content in grade 8. However, little is known about the effectiveness of these programs. While students who participate typically experience learning gains, there is little rigorous…
Algebra I, Package 03-03, Addition and Multiplication of Real Numbers.
ERIC Educational Resources Information Center
Thompson, Russ; Fuller, Albert
This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program, see ED 086 545. In this guide, the teacher is provided with objectives for…
Generalized Galilean algebras and Newtonian gravity
NASA Astrophysics Data System (ADS)
González, N.; Rubio, G.; Salgado, P.; Salgado, S.
2016-04-01
The non-relativistic versions of the generalized Poincaré algebras and generalized AdS-Lorentz algebras are obtained. These non-relativistic algebras are called, generalized Galilean algebras of type I and type II and denoted by GBn and GLn respectively. Using a generalized Inönü-Wigner contraction procedure we find that the generalized Galilean algebras of type I can be obtained from the generalized Galilean algebras type II. The S-expansion procedure allows us to find the GB5 algebra from the Newton Hooke algebra with central extension. The procedure developed in Ref. [1] allows us to show that the nonrelativistic limit of the five dimensional Einstein-Chern-Simons gravity is given by a modified version of the Poisson equation. The modification could be compatible with the effects of Dark Matter, which leads us to think that Dark Matter can be interpreted as a non-relativistic limit of Dark Energy.
Computer Algebra Systems in Undergraduate Instruction.
ERIC Educational Resources Information Center
Small, Don; And Others
1986-01-01
Computer algebra systems (such as MACSYMA and muMath) can carry out many of the operations of calculus, linear algebra, and differential equations. Use of them with sketching graphs of rational functions and with other topics is discussed. (MNS)
Motivating Activities that Lead to Algebra
ERIC Educational Resources Information Center
Menon, Ramakrishnan
2004-01-01
Four activities consisting of puzzles are introduced, which help students to recognize the strength of algebraic generalizations. They also assist them to comprehend algebraic concepts, and enable them to develop their individual puzzles and games.
Scalable Parallel Algebraic Multigrid Solvers
Bank, R; Lu, S; Tong, C; Vassilevski, P
2005-03-23
The authors propose a parallel algebraic multilevel algorithm (AMG), which has the novel feature that the subproblem residing in each processor is defined over the entire partition domain, although the vast majority of unknowns for each subproblem are associated with the partition owned by the corresponding processor. This feature ensures that a global coarse description of the problem is contained within each of the subproblems. The advantages of this approach are that interprocessor communication is minimized in the solution process while an optimal order of convergence rate is preserved; and the speed of local subproblem solvers can be maximized using the best existing sequential algebraic solvers.
Computational triadic algebras of signs
Zadrozny, W.
1996-12-31
We present a finite model of Peirce`s ten classes of signs. We briefly describe Peirce`s taxonomy of signs; we prove that any finite collection of signs can be extended to a finite algebra of signs in which all interpretants are themselves being interpreted; and we argue that Peirce`s ten classes of signs can be defined using constraints on algebras of signs. The paper opens the possibility of defining multimodal cognitive agents using Peirce`s classes of signs, and is a first step towards building a computational logic of signs based on Peirce`s taxonomies.
ERIC Educational Resources Information Center
Star, Jon R.; Rittle-Johnson, Bethany
2009-01-01
Competence in algebra is increasingly recognized as a critical milestone in students' middle and high school years. The transition from arithmetic to algebra is a notoriously difficult one, and improvements in algebra instruction are greatly needed (National Research Council, 2001). Algebra historically has represented students' first sustained…