ERIC Educational Resources Information Center
Jelinek, Gilbert; Schoenike, Paul
Ideas are offered for helping eighth-grade students incorporate an at-home field trip to Canada into a social studies unit. The teachers who developed the unit state that students can complete the 21-day imaginary trip in five hours of classroom time when appropriate materials are available and the classroom environment is conducive to working on…
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…
Examination of the 8th Grade Students' TIMSS Mathematics Success in Terms of Different Variables
ERIC Educational Resources Information Center
Kaleli-Yilmaz, Gül; Hanci, Alper
2016-01-01
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…
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,…
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…
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…
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…
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…
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…
Perceptions of 8th Grade Students in Middle School towards Citizenship Values
ERIC Educational Resources Information Center
Arslan, Seyfettin
2016-01-01
The principal aim of this study is to highlight how students in 8th grade of middle school perceive the principal concepts present in Citizenship Education (lessons), namely the values of: citizenship, (personal) rights, responsibility, the state, the law, military service, the right to education, the right to vote and participate in the political…
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.
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…
The Effect of Project Based Learning on the Statistical Literacy Levels of Student 8th Grade
ERIC Educational Resources Information Center
Koparan, Timur; Güven, Bülent
2014-01-01
This study examines the effect of project based learning on 8th grade students' statistical literacy levels. A performance test was developed for this aim. Quasi-experimental research model was used in this article. In this context, the statistics were taught with traditional method in the control group and it was taught using project based…
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,…
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…
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…
Predictors of cultural capital on science academic achievement at the 8th grade level
NASA Astrophysics Data System (ADS)
Misner, Johnathan Scott
The purpose of the study was to determine if students' cultural capital is a significant predictor of 8th grade science achievement test scores in urban locales. Cultural capital refers to the knowledge used and gained by the dominant class, which allows social and economic mobility. Cultural capital variables include magazines at home and parental education level. Other variables analyzed include socioeconomic status (SES), gender, and English language learners (ELL). This non-experimental study analyzed the results of the 2011 Eighth Grade Science National Assessment of Educational Progress (NAEP). The researcher analyzed the data using a multivariate stepwise regression analysis. The researcher concluded that the addition of cultural capital factors significantly increased the predictive power of the model where magazines in home, gender, student classified as ELL, parental education level, and SES were the independent variables and science achievement was the dependent variable. For alpha=0.05, the overall test for the model produced a R2 value of 0.232; therefore the model predicted 23.2% of variance in science achievement results. Other major findings include: higher measures of home resources predicted higher 2011 NAEP eighth grade science achievement; males were predicted to have higher 2011 NAEP 8 th grade science achievement; classified ELL students were predicted to score lower on the NAEP eight grade science achievement; higher parent education predicted higher NAEP eighth grade science achievement; lower measures of SES predicted lower 2011 NAEP eighth grade science achievement. This study contributed to the research in this field by identifying cultural capital factors that have been found to have statistical significance on predicting eighth grade science achievement results, which can lead to strategies to help improve science academic achievement among underserved populations.
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…
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
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…
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.
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
Klecker, Beverly M.
2015-01-01
This study used a secondary analysis of the National Assessment of Educational Progress (NAEP) 2003 and 2013 8th grade mathematics scores to explore relationships between parents' education and their eighth-grade students' mathematics achievement. Information from the NAEP database identified parents' educational level and students' eligibility…
Algebra for All: California’s Eighth-Grade Algebra Initiative as Constrained Curricula
Domina, Thurston; Penner, Andrew M.; Penner, Emily K.; Conley, Annemarie
2015-01-01
Background/Context Across the United States, secondary school curricula are intensifying as a growing proportion of students enroll in high-level academic math courses. In many districts, this intensification process occurs as early as eighth grade, where schools are effectively constraining their mathematics curricula by restricting course offerings and placing more students into Algebra I. This paper provides a quantitative single-case research study of policy-driven curricular intensification in one California school district. Research Questions (1a) What effect did 8th eighth grade curricular intensification have on mathematics course enrollment patterns in Towering Pines Unified schools? (2b) How did the distribution of prior achievement in Towering Pines math classrooms change as the district constrained the curriculum by universalizing 8th eighth grade Algebra? (3c) Did 8th eighth grade curricular intensification improve students’ mathematics achievement? Setting Towering Pines is an immigrant enclave in the inner-ring suburbs of a major metropolitan area. The district’s 10 middle schools together enroll approximately 4,000 eighth graders each year. The districts’ students are ethnically diverse and largely economically disadvantaged. The study draws upon administrative data describing 8th eighth graders in the district in the 2004–20-05 through 2007–20-08 school years. Intervention/Program/Practice During the study period, Towering Pines dramatically intensified middle school students’ math curricula: In the 2004–20-05 school year 32% of the district’s 8th eighth graders enrolled in Algebra or a higher- level mathematics course; by the 2007–20-08 school year that proportion had increased to 84%. Research Design We use an interrupted time-series design, comparing students’ 8th eighth grade math course enrollments, 10th grade math course enrollments, and 10th grade math test scores across the four cohorts, controlling for demographics and
ERIC Educational Resources Information Center
Akman, Ozkan; Koçoglu, Erol
2016-01-01
The purpose of this study is to present the connections between the concepts in perception and cognitive structures of secondary school 8th grade students for principles of Ataturk. Word association test is used in data collection. The number of the total participants in this research is 190. A frequency table is formed for the data obtained in…
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…
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…
Family support for physical activity in girls from 8th to 12th grade in South Carolina
Dowda, Marsha; Dishman, Rod K.; Pfeiffer, Karin A.; Pate, Russell R.
2007-01-01
Objective To examine the relationship between perceived family support and other selected correlates of physical activity (PA) with changes in PA over time. Methods A total of 421 girls in South Carolina completed questionnaires at 8th, 9th and 12th grades (1998–2003). Family support for PA, PA self-efficacy, perceived behavioral control, attitudes, availability of equipment, and PA were measured. Results Growth curve analysis showed that family support, perceived behavioral control, and self-efficacy were independently related to age-related changes in PA as reflected by total METs. Girls who reported lower family support at the 8th grade measure had more rapid declines in PA, and a unit change in family support was related to approximately 1/3 of a standard deviation change in total METs. Conclusions Maintenance of support from family members may reduce the decline in PA independent of girl’s self-efficacy and perceived behavioral control. PMID:17157371
Heat 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 first of a series of six, contains teacher and student materials for a unit on heat 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…
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…
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…
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…
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…
Large - Small or Mini Group Instruction in English, 8th and 9th Grades.
ERIC Educational Resources Information Center
Barber, Herman W.
This curriculum guide describes courses and provides some sample lesson plans for an English program for eighth and ninth grade students. All of the students are required to take a basic writing course for the first nine weeks of the semester. For the next nine weeks some students receive large group instruction in linguistics and the other…
Teacher's Manual for the Career Development Curriculum Guides, 7th and 8th Grades.
ERIC Educational Resources Information Center
Calhoun, Olivia H.
To help teachers make effective use of ten curriculum guides in career education for the seventh and eighth grade levels, the manual comments upon several topics: the career development philosophy, the basic ingredients of the D.C. program, the roles of the classroom teacher and the guidance counselor in the program, and the setting for the…
Water Quality-8th Grade Earth Science, or "Lets Get Relevant."
ERIC Educational Resources Information Center
Rezabek, Edward
This document describes some experiences in a science/technology/society (STS) program for an eighth grade science course at a small rural school in Iowa. The background information about the school and the general goal of the STS program are outlined. The curriculum structure of the program related to water as a reusable resource is presented.…
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…
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…
ERIC Educational Resources Information Center
Bozdogan, Aykut Emre
2016-01-01
This study is carried out to reveal which units teachers who encounter problems about falling behind the science course curriculum in secondary school in the 5th grade through the 8th grade prefer to focus on less and the reasons for their preferences. Survey model was used in the research study. Total 302 science teachers from 28 different cities…
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
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.…
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…
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)
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.
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.
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…
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
Nelson, Laura Lynn
2012-01-01
Over the past decade, research has shown that problem solving skills and students' achievement in mathematics have been a primary focus for mathematics instruction at all grade levels. Despite this persistent focus on cognitive development and children's thinking processes, some teachers fail to help students use these cognitive…
ERIC Educational Resources Information Center
Coleman, Gary; And Others
This booklet contains 15 lessons to infuse the study of law and citizenship education into an eighth grade social studies curriculum. The lessons are designed to encourage inquiry among the students and to use community resource people, particularly attorneys. Through these lessons, teachers can build support for democratic values, while students…
Gender-Related Differences in Problem Solving at the 6th and the 8th Grade Levels.
ERIC Educational Resources Information Center
Zambo, Ron; Follman, John
1994-01-01
Investigated gender-related differences in the process of solving routine word problems using a nine-step strategy in (n=153) sixth- and (n=149) eighth-grade students. Females were slightly better than males at following the prescribed problem-solving process. Includes test items. (39 references) (MKR)
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…
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…
How Middle Grade Teachers Think about Algebraic Reasoning
ERIC Educational Resources Information Center
Glassmeyer, David; Edwards, Belinda
2016-01-01
Algebraic reasoning is an essential habit of mind for building conceptual knowledge in K-12 mathematics, yet little is known about how middle school mathematics teachers think about algebraic reasoning. In this article we describe a research project examining how algebraic reasoning was considered by grades 6, 7, or 8 mathematics teachers in a…
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
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…
Introduction to Algebra Curriculum Guide, Grade 8, 1987. Bulletin 1802.
ERIC Educational Resources Information Center
Louisiana State Dept. of Education, Baton Rouge. Div. of Academic Programs.
Because of the high incidence of failure in algebra I among ninth-grade students, the Louisiana State Board of Elementary and Secondary Education requested the development of this guide with the intention of providing a good pre-algebra foundation. The purposes of the guide are to recognize standards that involve the application of mathematical…
Mistry, Rashmita S; Brown, Christia Spears; Chow, Kirby A; Collins, Geri S
2012-06-01
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 shifting attitudes about the poor and policies designed to help the disadvantaged. To test this proposition, the current study evaluated the efficacy of a 1-week 8th grade social studies curriculum focusing on poverty and inequality. Study participants were upper middle-class youth enrolled in multiple sections of a Social Studies course taught by a single teacher. Participants had little direct contact with marginalized groups such as poor and homeless individuals in their communities. Students (N=66) completed a survey assessing their attitudes and beliefs about poverty and poor people prior to, and 1 week and 6 months post-instruction. Results indicated that the curriculum was partially effective in increasing the complexity of students' beliefs about poverty. Students were more likely to emphasize fatalistic causes and less likely to list individualistic causes for poverty following instruction than before, but rarely emphasized structural causes for poverty and rated individual effort as the most influential factor in determining one's success. Implications of the study findings for curriculum efforts targeting young adolescents' reasoning about economic inequality and inequity and directions for future studies are discussed.
Zidek, T; Haidinger, G; Zacharasiewicz, A; Waldhör, T; Vutuc, C
2000-01-01
The aim of the study was to explore the prevalence of different smoking habits in a population of Austrian pupils, 12 to 15 years old, and the relationship of familial and peer group smoking customs with these habits. In 1997 a population-based survey (International Study of Asthma and Allergies in Childhood, ISAAC) was conducted of all 7th and 8th grade school children of a district of Upper Austria. Information on the smoking habits of the adolescents, the family members, and of the peer as well as smoking habits of the teacher, gender, and age of the children was collected. The overall-prevalence of having ever smoked in this population is 57.8%. The percentage of eversmokers among the 12-year-olds is 50%. This amount increases to 63.8% among the 14- to 15-year-olds. The odds ratios for smoking daily is highest among those whose best friend smokes (OR: 70.63, CI: 9.19, 542.40). The risk of daily smoking increases also if the siblings of the juvenile (OR: 4.71, CI: 1.15, 19.35) or the mother (OR: 4.95, CI: 1.67, 14.70) smoke. If the father smokes the risk to smoke monthly is increased (OR: 2.09, CI: 1.28, 3.40). These results point to the fact that smoking prevention programes should take into account the influence of peers and family of the adolescents.
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
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.
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
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…
THE PREDICTION OF GRADES IN COLLEGE ALGEBRA--A CONTINUATION AND EXTENSION.
ERIC Educational Resources Information Center
GELSO, CHARLES J.; WILSON, RAY
HIGH SCHOOL ALGEBRA GRADES OF 157 STUDENTS WERE BETTER PREDICTORS OF THEIR PERFORMANCE IN COLLEGE ALGEBRA (MATH 101) THAN EITHER THEIR SCHOLASTIC APTITUDE TEST-MATHEMATICS PORTION OR THEIR SEQUENTIAL TESTS OF EDUCATION PROGRESS-MATHEMATICS SUBTEST SCORES. THE AVERAGE OF THE STUDENTS' ALGEBRA I AND II GRADES SHOWED A CORRELATION WITH THEIR MATH 101…
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
Alberta Dept. of Education, Edmonton. Language Services Branch.
Aligned with its 1998 standards for first- and second-language learning, Alberta Learning has published lesson plans that aim for a closer relationship between learning and evaluation. Each volume in this series presents a specific task for students that involves planning, carrying out and evaluating their work. The task for eighth grade students…
ERIC Educational Resources Information Center
Moore, Darla
This eighth grade lesson plan asks students to research and analyze primary source documents about early factory labor (mill workers during the period between 1840-1860) showing their hours of labor, ages of laborers, reasons for working, and working conditions. The lesson plan asks students to read a historical novel about the time,…
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
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…
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.
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 a written…
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
NASA Astrophysics Data System (ADS)
Ruffin, Monya Aisha
The evolution of increased global accessibility and dependency on computer technologies has revolutionized most aspects of everyday life, including a rapid transformation of 21st century schools. Current changes in education reflect the need for the integration of effective computer technologies in school curricula. The principal objective of this investigation was to examine the acquisition of computer skills and inquiry skills by urban eighth grade students in a technology-supported environment. The study specifically focused on students' ability to identify, understand, and work through the process of scientific inquiry, while also developing computer technology tool skills. The unique component of the study was its contextualization within a local historically significant setting---an African-American cemetery. Approximately seventy students, in a local middle school, participated in the five-week treatment. Students conducted research investigations on site and over the Internet, worked in collaborative groups, utilized technology labs, and received inquiry and computer technology instruction. A mixed method design employing quantitative and qualitative methods was used. Two pilot studies conducted in an after-school science club format helped sharpen the research question, data collection methods, and survey used in the school-based study. Complete sets of data from pre and post surveys and journals were collected from sixty students. Six students were randomly selected to participate in in-depth focus group interviews. Researcher observations and inferences were also included in the analysis. The research findings showed that, after the treatment, students: (a) acquired more inquiry skills and computer skills, (b) broadened their basic conceptual understanding and perspective about science, (c) engaged actively in a relevant learning process, (d) created tangible evidence of their inquiry skills and computer skills, and (e) recalled and retained more details
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…
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
NASA Astrophysics Data System (ADS)
Schlichenmaier, M.
2014-05-01
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…
The Aftermath of Accelerating Algebra: Evidence from a District Policy Initiative. Working Paper 69
ERIC Educational Resources Information Center
Clotfelter, Charles T.; Ladd, Helen F.; Vigdor, Jacob L.
2012-01-01
In 2002/03, the Charlotte-Mecklenburg Schools initiated a broad program of accelerating entry into algebra coursework. The proportion of moderately-performing students taking 8th grade algebra increased from less than half to nearly 90%, then reverted to baseline levels, in the span of just six age cohorts. We use this policy-induced variation to…
ERIC Educational Resources Information Center
Education Development Center, Inc., 2016
2016-01-01
In the domain of "Operations & Algebraic Thinking," Common Core State Standards indicate that in kindergarten, first grade, and second grade, children should demonstrate and expand their ability to understand, represent, and solve problems using the operations of addition and subtraction, laying the foundation for operations using…
Rickles, Jordan H
2011-10-01
Many inquiries regarding the causal effects of policies or programs are based on research designs where the treatment assignment process is unknown, and thus valid inferences depend on tenuous assumptions about the assignment mechanism. This article draws attention to the importance of understanding the assignment mechanism in policy and program evaluation studies, and illustrates how information collected through interviews can develop a richer understanding of the assignment mechanism. Focusing on the issue of student assignment to algebra in 8th grade, I show how a preliminary data collection effort aimed at understanding the assignment mechanism is particularly beneficial in multisite observational studies in education. The findings, based on ten interviews and administrative data from a large school district, draw attention to the often ignored heterogeneity in the assignment mechanism across schools. These findings likely extend beyond the current research project in question to related educational policy issues such as ability grouping, tracking, differential course taking, and curricular intensity, as well as other social programs in which the assignment mechanism can differ across sites.
Cooperative learning and algebra performance of eighth grade students in United Arab Emirates.
Alkhateeb, Haitham M; Jumaa, Mustafa
2002-02-01
This study investigated the effect of cooperative learning on eighth grade students' performance in algebra. 54 boys and 57 girls in four middle-school mathematics classes of Grade 8 in the UAE participated. Over a 3-wk. period, two classes (57 students) were taught using a cooperative learning method, and the other two classes (54 students) were taught using the traditional lecture method. Analysis of covariance using pretest scores as a covariant showed no statistically significant increase in the algebra performance for students in the cooperative learning groups compared with the traditional groups. However, boys in the cooperative setting improved significantly on the performance test compared with boys in the traditional setting.
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.…
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…
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 solve…
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…
Differential graded Lie algebras and singularities of level sets of momentum mappings
NASA Astrophysics Data System (ADS)
Goldman, William M.; Millson, John J.
1990-08-01
The germ of an analytic variety X at a point x∈ X is said to be quadratic if it is bi-analytically isomorphic to the germ of a cone defined by a system of homogeneous quadratic equations at the origin. Arms, Marsden and Moncrief show in [2] that under certain conditions the analytic germ of a level set of a momentum mapping is quadratic. We discuss related ideas in a more algebraic context by associating to an affine Hamiltonian action a differential graded Lie algebra, which in the presence of an invariant positive complex structure, is formal in the sence of [5].
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
Voloshin, Dmitriy
2009-01-01
This study investigates the effects of Cognitive Tutor Bridge to Algebra (CTBA), a computer-assisted, remedial Algebra I curriculum, on mathematics performance and mathematics attitudes of ninth-grade students (n = 177) including English Learners (n = 78) and Economically Disadvantaged students (n = 93). A total of 95 students participated in CTBA…
ERIC Educational Resources Information Center
Alberta Dept. of Education, Edmonton. Language Services Branch.
Aligned with its 1998 standards for first and second language learning, Alberta Learning has published lesson plans that aim for a closer relationship between learning and evaluation. Each volume in this series presents a specific task for students that involves planning, carrying out and evaluating their work. The task for eighth grade students…
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
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
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…
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 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
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
CRAWFORD, ROBERT C.; KEISLAR, EVAN R.
THE MAJOR PROBLEM OF THIS INVESTIGATION WAS TO DETERMINE TO WHAT EXTENT FIRST-GRADE PUPILS ARE CAPABLE OF LEARNING ALGEBRAIC STRUCTURES THROUGH PROGRAMED INSTRUCTION. IN THE EXPERIMENT APPROXIMATELY 130 FIRST-GRADERS WERE INSTRUCTED THROUGH AUDIOVISUAL TEACHING MACHINES FOR APPROXIMATELY 15 WEEKS. AT THE END OF THE PROGRAM, THE CHILDREN WERE…
ERIC Educational Resources Information Center
Kaput, James J.; Blanton, Maria L.
As a part of a long term district-wide study, we report on achievement test results involving students in a third-grade classroom taught by a teacher in a professional development program led by the authors and directed towards the integration of algebraic reasoning with elementary school mathematics. The teacher's practice, reported upon…
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…
Technology Camp for 6-8th Grade Young Women
NASA Astrophysics Data System (ADS)
Chess, Catherine
2001-04-01
As the need for technical talent grows, the number of young women pursuing technical degrees in the US is declining in spite of the fact that the number of young women earning degrees is at a record high. The attitudes of young people towards math and science are formed very early, and are strongly influenced by their personal experiences. The recommended science and math curricula for elementary education strongly encourage the use of hands-on experiences, coupled with linking the concepts being studied to real world situations, in an effort to overcome the perception that science is for the "brainy". Data indicates that this alone is insufficient for young women to overcome the widely held stereotypical view that science and technology are strictly white male domains. IBM created an initiative to reach out to middle school young women who have the potential to become scientists and engineers. The Technology Camp for Young Women was designed to provide a challenging, hands-on exposure to science, engineering and applied mathematics in a supportive environment. IBM scientists and engineers led the sessions and also serve as mentors during the school year. The program significantly improved the perceptions of the young women toward technical fields of study.
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 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…
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
"Generalized" algebraic Bethe ansatz, Gaudin-type models and Zp-graded classical r-matrices
NASA Astrophysics Data System (ADS)
Skrypnyk, T.
2016-12-01
We consider quantum integrable systems associated with reductive Lie algebra gl (n) and Cartan-invariant non-skew-symmetric classical r-matrices. We show that under certain restrictions on the form of classical r-matrices "nested" or "hierarchical" Bethe ansatz usually based on a chain of subalgebras gl (n) ⊃ gl (n - 1) ⊃ . . . ⊃ gl (1) is generalized onto the other chains or "hierarchies" of subalgebras. We show that among the r-matrices satisfying such the restrictions there are "twisted" or Zp-graded non-skew-symmetric classical r-matrices. We consider in detail example of the generalized Gaudin models with and without external magnetic field associated with Zp-graded non-skew-symmetric classical r-matrices and find the spectrum of the corresponding Gaudin-type hamiltonians using nested Bethe ansatz scheme and a chain of subalgebras gl (n) ⊃ gl (n -n1) ⊃ gl (n -n1 -n2) ⊃ gl (n - (n1 + . . . +np-1)), where n1 +n2 + . . . +np = n.
Individual and Contextual Predictors of Inhalant Use among 8th Graders: A Multilevel Analysis
ERIC Educational Resources Information Center
Collins, David; Pan, Zhenfeng; Johnson, Knowlton; Courser, Matthew; Shamblen, Steve
2009-01-01
Few studies of inhalant use have examined a large number of predictors at the individual level, including risk and protective factors and delinquent behavior, while also taking into account contextual variables (such as school size and poverty rates). This exploratory study uses 8th grade data from a large-scale survey of students in Kentucky to…
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)
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…
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,...
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 these…
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…
Classical Exchange Algebra of the Nonlinear Sigma Model on a Supercoset Target with Bbb Z2n Grading
NASA Astrophysics Data System (ADS)
Ke, San-Min; Li, Xin-Ying; Wang, Chun; Yue, Rui-Hong
2011-10-01
The classical exchange algebra satisfied by the monodromy matrix of the nonlinear sigma model on a supercoset target with Bbb Z2n grading is derived using a first-order Hamiltonian formulation and by adding to the Lax connection terms proportional to constraints. This enables us to show that the conserved charges of the theory are in involution. When n = 2, our results coincide with the results given by Magro for the pure spinor description of AdS5 × S5 string theory (when the ghost terms are omitted).
Signs and Tools of Algebraic Reasoning: A Study of Models among Fifth Grade Students
ERIC Educational Resources Information Center
Richardson, Kerri
2012-01-01
This study focuses on the types of models created by students during algebraic pattern finding tasks. Attention is also given to the change in models over time. This is an important area of study because a closer look is needed to better understand the models created during mathematical activity, especially in the elementary classroom. It is…
Competence with Fractions in Fifth or Sixth Grade as a Unique Predictor of Algebraic Thinking?
ERIC Educational Resources Information Center
Pearn, Catherine; Stephens, Max
2016-01-01
Researchers have argued that there are strong links between primary school students' competence with fraction concepts and operations and their algebraic readiness. This study involving 162 Years 5/6 students in three primary schools examined the strength of that relationship using a test based on familiar fraction tasks and a test of algebraic…
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…
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…
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 courses. A…
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…
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
Teachers' Understanding of Algebraic Generalization
NASA Astrophysics Data System (ADS)
Hawthorne, Casey Wayne
Generalization has been identified as a cornerstone of algebraic thinking (e.g., Lee, 1996; Sfard, 1995) and is at the center of a rich conceptualization of K-8 algebra (Kaput, 2008; Smith, 2003). Moreover, mathematics teachers are being encouraged to use figural-pattern generalizing tasks as a basis of student-centered instruction, whereby teachers respond to and build upon the ideas that arise from students' explorations of these activities. Although more and more teachers are engaging their students in such generalizing tasks, little is known about teachers' understanding of generalization and their understanding of students' mathematical thinking in this domain. In this work, I addressed this gap, exploring the understanding of algebraic generalization of 4 exemplary 8th-grade teachers from multiple perspectives. A significant feature of this investigation is an examination of teachers' understanding of the generalization process, including the use of algebraic symbols. The research consisted of two phases. Phase I was an examination of the teachers' understandings of the underlying quantities and quantitative relationships represented by algebraic notation. In Phase II, I observed the instruction of 2 of these teachers. Using the lens of professional noticing of students' mathematical thinking, I explored the teachers' enacted knowledge of algebraic generalization, characterizing how it supported them to effectively respond to the needs and queries of their students. Results indicated that teachers predominantly see these figural patterns as enrichment activities, disconnected from course content. Furthermore, in my analysis, I identified conceptual difficulties teachers experienced when solving generalization tasks, in particular, connecting multiple symbolic representations with the quantities in the figures. Moreover, while the teachers strived to overcome the challenges of connecting different representations, they invoked both productive and unproductive
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.
"Choking game" awareness and participation among 8th graders--Oregon, 2008.
2010-01-15
The "choking game" is an activity in which persons strangulate themselves to achieve euphoria through brief hypoxia. It is differentiated from autoerotic asphyxiation. The activity can cause long-term disability and death among youths. In 2008, CDC reported 82 deaths attributed to the choking game and other strangulation activities during the period 1995-2007; most victims were adolescent males aged 11-16 years. To assess the awareness and prevalence of this behavior among 8th graders in Oregon, the Oregon Public Health Division added a question to the 2008 Oregon Healthy Teens survey concerning familiarity with and participation in this activity. This report describes the results of that survey, which indicated that 36.2% of 8th-grade respondents had heard of the choking game, 30.4% had heard of someone participating, and 5.7% had participated themselves. Youths in rural areas were significantly more likely (6.7%) to have participated than youths in urban areas (4.9%). Choking game participation was higher among 8th graders who reported mental health risk factors (4.0%), substance use (7.9%), or both (15.8%), compared with those who reported neither (1.7%). Public health surveillance of these strangulation activities among youths should be expanded to better quantify the risks and understand the motives and circumstances surrounding participation. Parents, educators, counselors, and others who work with youths should be aware of strangulation activities and their serious health effects; they should watch for signs of participation in strangulation activities, especially among youths with suspected substance use or mental health risk factors.
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 dissertation,…
Abstract Summaries of IANR IV and 8th GCNN Conference.
Xi, Haitao; Guo, Jiangfeng; Chen, Lin; Sharma, Hari Shanker; Huang, Hongyun
2012-03-27
The International Association of Neurorestoratology (IANR) and 8th The Global College of Neuroprotection and Neuroregeneration (GCNN) was successfully held in Amman, Jordan on April 27 to 30, 2011 hosted by IANR, GCNC and The American Society for Neural Therapy and for Neural Therapy and Repair (ASNTR). More than 400 experts of the Neurorestoratology field from over 40 countries and regions attended this combined novel International summit. The purpose of the 4-day conference was to provide a platform where basic science researchers and clinicians had the efficient opportunities to share their latest discoveries and foster possible cooperation in the global Neurorestoratology field. Her Royal Highness Princess Basma Bint Talal and Ex Prime Minister, Mr. A.R. Al-Rawabdeh inaugurated the joint conference in a gala opening ceremony and warmly welcomed the delegates.
ERIC Educational Resources Information Center
Sabers, Darrell Lee
There were three objectives of a revision and validation of the Iowa Algebra Aptitude Test (IAAT): (1) to reduce the importance of speed; (2) to improve the quality of the existing items; and (3) to replace a subtest with one of potentially greater predictive validity. The last of these goals involved the development of a new subtest composed of a…
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...
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
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
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…
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
Investigating How the Biographies of Today's Scientists Affect 8th Graders' Scientist Image
ERIC Educational Resources Information Center
Karaçam, Sedat
2016-01-01
This study aimed to investigate how a poster study focusing on the biographies of today's scientists affected 8th graders' scientist images. The study utilized a mixed model which combined qualitative and quantitative research techniques. 142 8th graders from a secondary school in Ankara Province Keçiören District participated in the study.…
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…
Central extensions of Lax operator algebras
NASA Astrophysics Data System (ADS)
Schlichenmaier, M.; Sheinman, O. K.
2008-08-01
Lax operator algebras were introduced by Krichever and Sheinman as a further development of Krichever's theory of Lax operators on algebraic curves. These are almost-graded Lie algebras of current type. In this paper local cocycles and associated almost-graded central extensions of Lax operator algebras are classified. It is shown that in the case when the corresponding finite-dimensional Lie algebra is simple the two-cohomology space is one-dimensional. An important role is played by the action of the Lie algebra of meromorphic vector fields on the Lax operator algebra via suitable covariant derivatives.
ERIC Educational Resources Information Center
Freire, Sofia; Baptista, Mónica; Freire, Ana
2016-01-01
Raising awareness about sustainability is an urgent need and as such education for sustainability has gained relevancy for the last decades. It is acknowledged that science education can work as an important context for educating for sustainability. The goal of the present paper is to describe a role-playing activity about the construction of a…
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…
ERIC Educational Resources Information Center
Bru, Edvin; Boyesen, Marit; Munthe, Elaine; Roland, Erling
1998-01-01
A majority of 1071 Norwegian eighth graders studied reported satisfactory support from teachers and relations with peers, although 12% reported more severe emotional complaints and 10% reported more severe musculoskeletal complaints. Exposure to harassment at school and a perceived lack of academic support show the strongest associations with…
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.
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…
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.
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,…
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…
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.
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.…
Gender-Related Differences in Problem Solving at the 6th and 8th Grade Levels.
ERIC Educational Resources Information Center
Zambo, Ron; Follman, John
Potential gender-related differences in the process of mathematical word problem solving were investigated. Sixth and eighth graders (n=302) solved 2-step mathematical word problems using a 9-step problem solving plan. The nine steps were: (1) identify the facts; (2) identify the question; (3) draw a diagram; (4) choose the operations; (5) write…
ERIC Educational Resources Information Center
Sahbaz, Namik Kemal
2012-01-01
Reading skill is a cognitive process in which the words are perceived, given a meaning, comprehended and then interpreted. The last year in primary education is a critical period when this skill is changed into a habit. As reading attitudes are important for an individual throughout the life, it is necessary to determine according to which…
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…
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.
View of 501 8th St., a sidegable duplex bungalow with ...
View of 501 8th St., a side-gable duplex bungalow with engaged porch and paired and clustered columns. Built as worker housing for Lanett Cotton Mill - 501 Eighth Street (House), 501 Eighth Street, Lanett, Chambers County, AL
NASA Astrophysics Data System (ADS)
Roytenberg, Dmitry
2007-11-01
A Lie 2-algebra is a linear category equipped with a functorial bilinear operation satisfying skew-symmetry and Jacobi identity up to natural transformations which themselves obey coherence laws of their own. Functors and natural transformations between Lie 2-algebras can also be defined, yielding a 2-category. Passing to the normalized chain complex gives an equivalence of 2-categories between Lie 2-algebras and certain "up to homotopy" structures on the complex; for strictly skew-symmetric Lie 2-algebras these are L∞-algebras, by a result of Baez and Crans. Lie 2-algebras appear naturally as infinitesimal symmetries of solutions of the Maurer-Cartan equation in some differential graded Lie algebras and L∞-algebras. In particular, (quasi-) Poisson manifolds, (quasi-) Lie bialgebroids and Courant algebroids provide large classes of examples.
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
ERIC Educational Resources Information Center
1997
Astro Algebra is one of six titles in the Mighty Math Series from Edmark, a comprehensive line of math software for students from kindergarten through ninth grade. Many of the activities in Astro Algebra contain a unique technology that uses the computer to help students make the connection between concrete and abstract mathematics. This software…
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…
Embedding Algebraic Thinking throughout the Mathematics Curriculum
ERIC Educational Resources Information Center
Vennebush, G. Patrick; Marquez, Elizabeth; Larsen, Joseph
2005-01-01
This article explores the algebra that can be uncovered in many middle-grades mathematics tasks that, on first inspection, do not appear to be algebraic. It shows connections to the other four Standards that occur in traditional algebra problems, and it offers strategies for modifying activities so that they can be used to foster algebraic…
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…
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…
15. Hayden Ditch (Lateral 5), looking east along 8th Street, ...
15. Hayden Ditch (Lateral 5), looking east along 8th Street, east of Dorsey. This is an unimproved section of the ditch. Photographer: Mark Durben, June 1989. Source: SRPA - Tempe Canal, South Side Salt River in Tempe, Mesa & Phoenix, Tempe, Maricopa County, AZ
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.
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.
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…
Douketis, James D; Berger, Peter B; Dunn, Andrew S; Jaffer, Amir K; Spyropoulos, Alex C; Becker, Richard C; Ansell, Jack
2008-06-01
This article discusses the perioperative management of antithrombotic therapy and is part of the American College of Chest Physicians Evidence-Based Clinical Practice Guidelines (8th Edition). The primary objectives of this article are the following: (1) to address the perioperative management of patients who are receiving vitamin K antagonists (VKAs) or antiplatelet drugs, such as aspirin and clopidogrel, and require an elective surgical or other invasive procedures; and (2) to address the perioperative use of bridging anticoagulation, typically with low-molecular-weight heparin (LMWH) or unfractionated heparin (UFH). A secondary objective is to address the perioperative management of such patients who require urgent surgery. The recommendations in this article incorporate the grading system that is discussed in this supplement (Guyatt G et al, CHEST 2008; 133:123S-131S). Briefly, Grade 1 recommendations are considered strong and indicate that the benefits do (or do not) outweigh risks, burden, and costs, whereas Grade 2 recommendations are referred to as suggestions and imply that individual patient values may lead to different management choices. The key recommendations in this article include the following: in patients with a mechanical heart valve or atrial fibrillation or venous thromboembolism (VTE) at high risk for thromboembolism, we recommend bridging anticoagulation with therapeutic-dose subcutaneous (SC) LMWH or IV UFH over no bridging during temporary interruption of VKA therapy (Grade 1C); in patients with a mechanical heart valve or atrial fibrillation or VTE at moderate risk for thromboembolism, we suggest bridging anticoagulation with therapeutic-dose SC LMWH, therapeutic-dose IV UFH, or low-dose SC LMWH over no bridging during temporary interruption of VKA therapy (Grade 2C); in patients with a mechanical heart valve or atrial fibrillation or VTE at low risk for thromboembolism, we suggest low-dose SC LMWH or no bridging over bridging with
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.
Classification of central extensions of Lax operator algebras
NASA Astrophysics Data System (ADS)
Schlichenmaier, Martin
2008-11-01
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.
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
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
Troum, Orrin M; Pimienta, Olga L; Olech, Ewa; Østergaard, Mikkel; Thiele, Ralf; Seraphine, Judy L; Bruyn, George A W; Peterfy, Charles
2016-06-01
The International Society for Musculoskeletal Imaging in Rheumatology (ISEMIR) was founded in 2005 with the goal of discussing matters related to imaging in rheumatology, particularly, validation, education, and use in both clinical practice and research. The field of musculoskeletal (MSK) imaging is continuously evolving; therefore, education for healthcare providers in this field is of paramount importance. ISEMIR's international faculty and world-renowned experts presented the newest information as it relates to the use of magnetic resonance imaging (MRI) and ultrasound (US) at the 8th annual ISEMIR meeting that took place on April 17-18 in Santa Monica, California. Presentations from the meeting can be viewed at www.isemir.org.
Hamacher, Michael; Stephan, Christian; Hardt, Tanja; Eisenacher, Martin; Henkel, Andreas; Wiltfang, Jens; Jimenez, Connie R; Park, Young Mok; Marcus, Katrin; Meyer, Helmut E
2008-05-01
What are the current approaches in brain proteomics? Can we combine different, but complementary study designs to obtain better results concerning brain diseases? What are the neuro-hotspots, especially in Korea? These were some of the questions the participants of the 8(th) HUPO Brain Proteome Project Workshop tried to answer prior to the 6(th) HUPO World Congress in Seoul, Korea. Around 100 scientists came together during the afternoon of 7 October, 2007, to discuss and to catch up on the latest results and strategies concerning Huntington's disease, glioblastoma and standardization.
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.…
2016-12-07
This is the 8th edition of this well-regarded medical textbook. Its contributors include several nurses and the subjects covered will be of interest to any nurse or nursing student working with older adults.
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.
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.
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.
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
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.
Material science and Condensed matter Physics. 8th International Conference. Abstracts.
NASA Astrophysics Data System (ADS)
Kulyuk, L. L.; Paladi, Florentin; Canter, Valeriu; Nikorich, Valentina; Filippova, Irina
2016-08-01
The book includes the abstracts of the communications presented at the 8th International Conference on Materials Science and Condensed Matter Physics (MSCMP 2016), a traditional biennial meeting organized by the Institute of Applied Physics of the Academy of Sciences of Moldova (IAP).A total of 346 abstracts has been included in the book. The Conference programm included plenary lectures, topical keynote lectures, contributed oral and poster presentations distributed into 7 sections: * Condensed Matter Theory; * Advanced Bulk Materials; * Design and Structural Characterization of Materials; * Solid State Nanophysics and Nanotechnology; * Energy Conversion and Storage. Solid State Devices; * Surface Engineering and Applied Electrochemistry; * Digital and Optical holography: Materials and Methods. The abstracts are arranged according to the sections mentioned above. The Abstracts book includes a table of matters at the beginning of the book and an index of authors at the finish of the book.
Introduction to the 8th International Workshop on Smoltification and a synthesis of major findings
Schreck, Carl B.; McCormick, Steven D.; Björnsson, Björn Thrandur; Stefansson, Sigurd O.; Ueda, Hiroshi
2012-01-01
The early life history of anadromous salmonid fishes, be they Atlantic (Salmo salar) or Pacific salmon (Oncorhynchus spp.), trout of those genera, or charrs (Salvelinus spp.), appears much more complex than previously thought. The seaward movement or migration is extremely polymorphic among and within species. To help provide understanding of the processes involved, and implications for conservation, management and husbandry, the 8th International Workshop on Smoltification was held on September 20–24, 2009, with participants from 9 different countries. Because the native distribution of these fishes is in northern latitudes, more or less circumglobally, similar workshops have been held roughly every four years in various countries, starting in LaJolla, California; and subsequently in Stirling, Scotland; Trondheim, Norway; St. Andrews, Canada; Muonio, Finland; Westport, Ireland; and Tono, Japan. Papers emanating from these previous workshops can be found in earlier Special Issues of Aquaculture while those from the 2009 workshop are presented here.
[Review of WHO Expert Committee on Leprosy 8th report, --comparison to 7th report].
Kitajima, Shinichi; En, Junichiro; Kitajima, Shiori; Barua, Sumana; Goto, Masamichi
2014-03-01
In 2012 the WHO Expert Committee on Leprosy published its 8th report, 14 years after the publication of its 7th report in 1998. This report, the first since the leprosy reduction goal was met in 2000, highlights key points such as improvements in the quality of various services available to patients and the efforts of individuals and societies, in addition to medical progress in diagnosis and treatment. This review will mainly describe the changes made since the 7th report. Some of the main modifications are the deletion of single lesion paucibacillary type, elongated treatment of patients with high bacterial indices, the introduction of promising new drugs, and a shift from reducing the statistical number of patients to a new target for disability prevention.
Report of the 7th African Rotavirus Symposium, Cape Town, South Africa, 8th November 2012.
Seheri, L M; Mwenda, J M; Page, N
2014-11-12
The 7th African Rotavirus Symposium was held in Cape Town, South Africa, on the 8th November 2012 as a Satellite Symposium at the First International African Vaccinology Conference. Over 150 delegates participated in this symposium including scientists, clinicians, health officials, policymakers and vaccine manufacturers from across Africa. Key topics discussed included rotavirus surveillance, rotavirus vaccine introduction, post rotavirus vaccine impact analysis and intussusception data and surveillance in Africa. The symposium provided early rotavirus vaccine adopter countries in Africa (South Africa, Ghana and Botswana) an opportunity to share up-to-date information on vaccine introduction, and allowed colleagues to share experiences in establishing routine rotavirus surveillance (Tanzania, Niger and Rwanda). Overall, the symposium highlighted the high burden of rotavirus in Africa, and the need to continue to strengthen efforts in preventing rotavirus diarrhoea in Africa.
Using Students' Interests as Algebraic Models
ERIC Educational Resources Information Center
Whaley, Kenneth A.
2012-01-01
Fostering algebraic thinking is an important goal for middle-grades mathematics teachers. Developing mathematical reasoning requires that teachers cultivate students' habits of mind. Teachers develop students' understanding of algebra by engaging them in tasks that involve modeling and representation. This study was designed to investigate how…
Gary M. Klingler Algebra Teacher Assistance Packages
ERIC Educational Resources Information Center
Klingler, Gary
2005-01-01
Several packages designed by Elizabeth Marquez for mathematics teachers of grades 6-12, officially entitled the Teacher Assistance Package in Support of Better Algebra Assessment, is a series of resources developed to accompany ET's End-of-Course Algebra Assessment. It is designed to enhance teachers classroom assessment by providing examples of…
ERIC Educational Resources Information Center
Parese, Errin C.
2014-01-01
The focus of this research was on students' low graduation rate in a New York State high school, investigating a possible correlation between students' longitudinal English Language Arts (ELA) exams and their graduation status. In the 2010-11 school year, 25% of the students at the high school of study failed to graduate, a rate which was 5% lower…
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
Siegler, Robert; Carpenter, Thomas; Fennell, Francis; Geary, David; Lewis, James; Okamoto, Yukari; Thompson, Laurie; Wray, Jonathan
2010-01-01
This practice guide presents five recommendations intended to help educators improve students' understanding of, and problem-solving success with, fractions. Recommendations progress from proposals for how to build rudimentary understanding of fractions in young children; to ideas for helping older children understand the meaning of fractions and…
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…
NASA Astrophysics Data System (ADS)
Whitford, Melinda M.
Science educational reforms have placed major emphasis on improving science classroom instruction and it is therefore vital to study opportunity-to-learn (OTL) variables related to student science learning experiences and teacher teaching practices. This study will identify relationships between OTL and student science achievement and will identify OTL predictors of students' attainment at various distinct achievement levels (low/intermediate/high/advanced). Specifically, the study (a) address limitations of previous studies by examining a large number of independent and control variables that may impact students' science achievement and (b) it will test hypotheses of structural relations to how the identified predictors and mediating factors impact on student achievement levels. The study will follow a multi-stage and integrated bottom-up and top-down approach to identify predictors of students' achievement levels on standardized tests using TIMSS 2011 dataset. Data mining or pattern recognition, a bottom-up approach will identify the most prevalent association patterns between different student achievement levels and variables related to student science learning experiences, teacher teaching practices and home and school environments. The second stage is a top-down approach, testing structural equation models of relations between the significant predictors and students' achievement levels according.
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…
The Impact of Early Algebra: Results from a Longitudinal Intervention
ERIC Educational Resources Information Center
Brizuela, Bárbara M.; Martinez, Mara V.; Cayton-Hodges, Gabrielle A.
2013-01-01
In this paper, we provide evidence of the impact of early algebra (EA) over time. We document this impact in the following ways: (a) by showing the performance over time of an experimental group of 15 children on an algebra assessment, from 3rd to 5th grade; and (b) by showing how the performance on an algebra assessment of children from an…
Changing Pre-Service Elementary Teachers' Attitudes to Algebra.
ERIC Educational Resources Information Center
McGowen, Mercedes A.; Davis, Gary E.
This article addresses the question: "What are the implications for the preparation of prospective elementary teachers of 'early algebra' in the elementary grades curriculum?" Part of the answer involves language aspects of algebra: in particular, how a change in pre-service teachers' attitudes to algebra, from instrumental to relational, is…
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…
A Guide for Teaching General Science 1-2 (8th).
ERIC Educational Resources Information Center
Gay, Philip D.
This guide was prepared as an aid to teachers of general science 1-2, grade 8. One of the major purposes of the guide is to assist the teachers in adopting a discovery-oriented approach in the classroom. The course is designed to prepare able students for the advanced science courses, grades 9-12. Teaching techniques, homework, laboratory…
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…
Tobacco industry strategies to undermine the 8th World Conference on Tobacco or Health
Muggli, M; Hurt, R
2003-01-01
Objective: To demonstrate that Philip Morris and British American Tobacco Company attempted to initiate a wide ranging campaign to undermine the success of the 8th World Conference on Tobacco or Health held in Buenos Aires, Argentina, in 1992. Data sources: Publicly available tobacco industry documents housed in Minneapolis, Minnesota, USA; Guilford, UK; on-line document websites; and telephone interviews with informed parties. Study selection: Those documents determined to be relevant to the companies' campaigns against the 8th World Conference on Tobacco or Health. Data extraction: Revision of chapter VIII of the July 2000 WHO report by a committee of experts, entitled: Tobacco company strategies to undermine tobacco control activities at the World Health Organization: report of the committee of experts on tobacco industry documents. Data synthesis: Internal documents describe proposed media and science orientated campaigns developed by BAT, Philip Morris, and their consultants to divert attention away from the conference. Results and conclusion: This work shows that the tobacco industry has the resources and vested interest to combat perceived threats in its regional operating markets, in this case its Latin American market. It is important for the worldwide public heath community to become aware of the numerous ways in which the tobacco industry and its front groups can work against international tobacco control meetings, even including the manipulation of or working with other public health groups to oppose tobacco control efforts. Future world conference planners and participants should be aware that the tobacco industry is likely to continue to employ such methodology. There is no reason to think that the industry is paying less attention to such conferences in the present or future. Rather, it is likely the industry will adopt and expand strategies that were successful while abandoning those that were not effective. Required disclosure of financial support
NASA Technical Reports Server (NTRS)
Mulligan, Jeffrey B.
2017-01-01
A color algebra refers to a system for computing sums and products of colors, analogous to additive and subtractive color mixtures. We would like it to match the well-defined algebra of spectral functions describing lights and surface reflectances, but an exact correspondence is impossible after the spectra have been projected to a three-dimensional color space, because of metamerism physically different spectra can produce the same color sensation. Metameric spectra are interchangeable for the purposes of addition, but not multiplication, so any color algebra is necessarily an approximation to physical reality. Nevertheless, because the majority of naturally-occurring spectra are well-behaved (e.g., continuous and slowly-varying), color algebras can be formulated that are largely accurate and agree well with human intuition. Here we explore the family of algebras that result from associating each color with a member of a three-dimensional manifold of spectra. This association can be used to construct a color product, defined as the color of the spectrum of the wavelength-wise product of the spectra associated with the two input colors. The choice of the spectral manifold determines the behavior of the resulting system, and certain special subspaces allow computational efficiencies. The resulting systems can be used to improve computer graphic rendering techniques, and to model various perceptual phenomena such as color constancy.
Families of Children with Disabilities: Findings from a National Sample of Eighth-Grade Students.
ERIC Educational Resources Information Center
Hodapp, Robert M.; Krasner, Diane V.
1995-01-01
Family demographics of 8th-grade students with visual impairments (n=89), hearing impairments (n=105), deafness (n=29), and orthopedic impairments (n=60) were compared to those of 22,368 additional U.S. 8th-grade students. Analysis revealed that families of children with disabilities showed higher percentages of divorce or separation, lower family…
A low power 8th order elliptic low-pass filter for a CMMB tuner
NASA Astrophysics Data System (ADS)
Zheng, Gong; Bei, Chen; Xueqing, Hu; Yin, Shi; Foster, Dai Fa
2011-09-01
This paper presents an 8th order active-RC elliptic low-pass filter (LPF) for a direct conversion China Mobile Multimedia Broadcasting (CMMB) tuner with a 1 or 4 MHz -3 dB cutoff frequency (f-3dB). By using a novel gain-bandwidth-product (GBW) extension technique in designing the operational amplifiers (op-amps), the proposed filter achieves 71 dB stop-band rejection at 1.7 f-3dB to meet the stringent CMMB adjacent channel rejection (ACR) specifications while dissipates only 2.8 mA/channel from a 3 V supply, its bias current can be further lowered to 2 mA/channel with only 0.5 dB peaking measured at the filter's pass-band edge. Elaborated common-mode (CM) control circuits are applied to the filter op-amp to increase its common-mode rejection ratio (CMRR) and effectively reject the large signal common-mode interference. Measurement results show that the filter has 128 dBμVrms in-band IIP3 and more than 80 dB passband CMRR. Fabricated in a 0.35-μm SiGe BiCMOS process, the proposed filter occupies a 1.19 mm2 die area.
The 8th-10 th January 2009 snowfalls: a case of Mediterranean warm advection event
NASA Astrophysics Data System (ADS)
Aguado, F.; Ayensa, E.; Barriga, M.; Del Hoyo, J.; Fernández, A.; Garrido, N.; Martín, A.; Martín, F.; Roa, I. Martínez, A.; Pascual, R.
2009-09-01
From 8 th to 10 th of January 2009, significant snowfalls were reported in many areas of the Iberian Peninsula and the Balearic Islands. This relevant event was very important from the meteorological and social impact point of views. The snow affected many zones, especially the regions of Madrid, Castilla & León and Castilla-La Mancha (Spanish central plateau) with the persistence and thickness of solid precipitation. Up to twenty-five centimetres of snow were reported in some places. On 9th of January the snowfalls caused great social and media impact due to the fact that they took place in the early hours in the Madrid metropolitan areas, affecting both air traffic and land transport. The "Madrid-Barajas" airport was closed and the city was collapsed during several hours. A study of this situation appears in the poster. The snowstorm was characterized by the previous irruption of an European continental polar air mass, that subsequently interacted with a wet and warm air mass of Mediterranean origin, all preceded by low level easterly flows. This type of snowfall is called "warm advection". These winter situations are very efficient from precipitation point of view, generating significant snowfalls and affecting a lot of areas.
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.
NASA Astrophysics Data System (ADS)
Mikhalev, A. V.; Pinchuk, I. A.
2005-06-01
The structure of Steinberg conformal algebras is studied; these are analogues of Steinberg groups (algebras, superalgebras).A Steinberg conformal algebra is defined as an abstract algebra by a system of generators and relations between the generators. It is proved that a Steinberg conformal algebra is the universal central extension of the corresponding conformal Lie algebra; the kernel of this extension is calculated.
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…
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…
2007-11-02
Province. (NHAN DAN 26 Apr 87 pi) Ban Sinh Hoi [ BANF SINH H00IJ] Head of the Cadre Section, Bac Thai Province Military Command; member of the Dao...Assistant Supervisor of Shop # 2 , Ceramics Enterprise # 2 , Bien Hoa; Member of the 7th National Assembly; was elected to the 8th National Assembly from Dong...Committee; Minister of Finance; was elected to the 8th National Assembly from Hanoi. (NHAN DAN 22 Apr 87 p 1) Ban Huu Quyen [ BANF HUWUX QUYEEN
ERIC Educational Resources Information Center
Capani, Antonio; De Dominicis, Gabriel
This paper proposes a model for a general interface between people and Computer Algebra Systems (CAS). The main features in the CAS interface are data navigation and the possibility of accessing powerful remote machines. This model is based on the idea of session management, in which the main engine of the tool enables interactions with the…
I CAN Learn[R] Pre-Algebra and Algebra. What Works Clearinghouse Intervention Report
ERIC Educational Resources Information Center
What Works Clearinghouse, 2007
2007-01-01
The "I CAN Learn[R] Pre-Algebra" and "Algebra" computerized curricula are designed to cover mathematics and problem-solving skills for ethnically diverse, inner-city students in grades 6-12. The curricula are designed to equip students with the skills they need to meet district, state, and national math objectives through an…
Principal results of the Medical Research Council's 8th acute myeloid leukaemia trial.
Rees, J K; Gray, R G; Swirsky, D; Hayhoe, F G
1986-11-29
Between 1978 and 1983, 1127 patients with de-novo acute myeloid leukaemia (AML) were entered into the Medical Research Council (MRC)'s 8th AML trial. All received the same induction therapy consisting of daunorubicin, cytarabine, and 6-thioguanine--DAT (1 + 5). The 67% who entered complete remission were randomised to consolidation with two or six further courses of DAT. Adults under the age of 55 were randomised for central nervous system (CNS) prophylaxis with intrathecal cytarabine and methotrexate. Finally, those still in remission after 1 year of cytarabine and 6-thioguanine (AT) maintenance were randomised to receive either late intensification with cyclophosphamide, vincristine, cytarabine, and prednisolone (COAP) or continued AT. The median survival for the whole group was 12 months; the median duration of first remission was 15 months, with relapse-free survival at 5 years estimated at 18%. The factors most strongly associated with poor survival were performance status and age at presentation, but even among those over 60 years of age, half went into remission. Six courses of DAT consolidation gave a small advantage over two courses in reducing the number of late relapses but no significant survival advantage. Late intensification showed a marginally significant advantage over continued AT maintenance. The incidence of CNS relapse was low and unaffected by prophylaxis. The second remission rate varied from 10% when the first remission was shorter than 6 months to 61% when it had continued for more than 2 years. 40 patients received histocompatible allogeneic bone-marrow transplants in first remission. There was a high procedure-related death rate, particularly among patients over 30 years of age. Thus, initially at least, the transplanted group had shorter survival than a comparable group of chemotherapy-treated patients. Treatment specifications remained unchanged throughout the trial but those enrolled in the later half of the trial had a better (p = 0
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
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
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…
Kamble, Suresh S; Kandasamy, Baburajan; Thillaigovindan, Ranjani; Goyal, Nitin Kumar; Talukdar, Pratim; Seal, Mukut
2015-01-01
Background: Newer dentin bonding agents were developed to improve the quality of composite restoration and to reduce time consumption in its application. The aim of the present study was to evaluate tensile bond strength of 6th, 7th and 8th generation bonding agents by in vitro method. Materials and Methods: Selected 60 permanent teeth were assigned into 20 in each group (Group I: 6th generation bonding agent-Adper SE plus 3M ESPE, Group II: 7th generation bonding agent-G-Bond GC Corp Japan and Group III: 8th generation dentin adhesives-FuturaBond, DC, Voco, Germany). With high-speed diamond disc, coronal dentin was exposed, and selected dentin bonding agents were applied, followed by composite restoration. All samples were saved in saline for 24 h and tensile bond strength testing was done using a universal testing machine. The obtained data were tabulated and statistically analyzed using ANOVA test. Results: The tensile bond strength readings for 6th generation bonding agent was 32.2465, for 7th generation was 31.6734, and for 8th-generation dentine bonding agent was 34.74431. The highest tensile bond strength was seen in 8th generation bonding agent compared to 6th and 7th generation bonding agents. Conclusion: From the present study it can be conclude that 8th generation dentine adhesive (Futura DC, Voco, Germany) resulted in highest tensile bond strength compared to 6th (Adper SE plus, 3M ESPE) and 7th generation (G-Bond) dentin bonding agents. PMID:26028901
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
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
Analysis of the hazardous low-altitude snowfall, 8th March 2010, in Catalonia
NASA Astrophysics Data System (ADS)
Aran, M.; Rigo, T.; Bech, J.; Brucet, C.; Vilaclara, E.
2010-09-01
During winter season snow precipitation is quite frequent in the Pyrenees (north-east of the Iberian Peninsula). On average the total amount of fresh snow at 2200 metres is of 250 cm. However, important snow episodes at low latitudes are unlikely. From 1947 to 2009, 16 significant snow episodes took place in the Barcelona and 18 in Girona areas. On 8th March 2010, a severe wet snow event had a high social impact on these regions. One of the most remarkable features of this episode was the type of precipitation (wet snow) and the large amount of precipitation combined with strong wind gust that caused the collapse of electricity pylons and tree forests. The damage was very important in the north-eastern part and the regional government approved funds of 21.4 million € to reduce the impact caused by this event. Although diagnosis of other low altitude snowfall events in Catalonia has been done previously, the analysis of this event can contribute to characterise a little bit better these snow episodes. In this study, we will present the synoptic framework characterised by the presence of a deep low in the north-east of Catalonia and moving through Ebro valley to the Catalan coast. To do this we will use ECMWF reanalyses and Meteosat images. The main features to predict this snow event and the critical point were the total amount of precipitation and snow level forecasted by mesoscale models (MM5, WRF). The model outputs for precipitation, temperature and wind will be compared with automatic weather, radar and radiosounding data. The snow level and the type of precipitation are compared with the information received from spotters. The main storm was characterised by moderate vertical development with tops of 8 km (4 km were the average height during the initial and final phase of the event). Also, lightning activity was observed, 310 intra-cloud and 128 cloud-to-ground. The type of precipitation at a specific location in the eastern zone temporally changed because
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
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
Gradings on the real form 𝔢6,-26
NASA Astrophysics Data System (ADS)
Draper, Cristina; Guido, Valerio
2016-10-01
We describe four fine gradings on the real form 𝔢6,-26 of the complex Lie algebra 𝔢6. They are precisely the gradings whose complexifications are fine gradings on the complex algebra. The universal grading groups are Z2 6 , Z × Z2 4 , Z 2 × Z2 3 , and Z 4 × Z2 4 .
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.
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.
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…
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
Kim, Jong-Hyun; Choi, Eun Hwa; Park, Su Eun; Kim, Yae-Jean; Jo, Dae Sun; Kim, Yun-Kyung; Eun, Byung-Wook; Lee, Jina; Lee, Soo-Young; Lee, Hyunju; Kim, Ki Hwan
2016-01-01
This report includes the recommended immunization schedule table for children and adolescents based on the 8th (2015) and revised 7th (2012) Immunization Guidelines released by the Committee on Infectious Diseases of the Korean Pediatric Society (KPS). Notable revised recommendations include: reorganization of the immunization table with a list of vaccines on the vertical axis and the corresponding age on the horizontal axis; reflecting the inclusion of Haemophilus influenzae type b vaccine, pneumococcal conjugate vaccine, and hepatitis A vaccine into the National Immunization Program since 2012; addition of general recommendations for 2 new Japanese encephalitis (JE) vaccines and their interchangeability with existing JE vaccines; addition of general recommendations for quadrivalent meningococcal conjugate vaccines and scope of the recommended targets for vaccination; and emphasizing catch-up immunization of Tdap vaccine. Detailed recommendations for each vaccine may be obtained from the full KPS 8th Immunization Guidelines. PMID:28194210
NASA Astrophysics Data System (ADS)
Vaninsky, Alexander
2011-04-01
This article introduces a trigonometric field (TF) that extends the field of real numbers by adding two new elements: sin and cos - satisfying an axiom sin2 + cos2 = 1. It is shown that by assigning meaningful names to particular elements of the field, all known trigonometric identities may be introduced and proved. Two different interpretations of the TF are discussed with many others potentially possible. The main objective of this article is to introduce a broader view of trigonometry that can serve as motivation for mathematics students and teachers to study and teach abstract algebraic structures.
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
Derive Workshop Matrix Algebra and Linear Algebra.
ERIC Educational Resources Information Center
Townsley Kulich, Lisa; Victor, Barbara
This document presents the course content for a workshop that integrates the use of the computer algebra system Derive with topics in matrix and linear algebra. The first section is a guide to using Derive that provides information on how to write algebraic expressions, make graphs, save files, edit, define functions, differentiate expressions,…
ERIC Educational Resources Information Center
Kaput, James J.
This paper asserts that the key to algebra reform is to integrate algebraic reasoning across all grades and all topics, to "algebrafy" school mathematics. The distinction is made between algebra "the institution" and algebra "the web of knowledge and skill," which is also clarified. Finally, suggestions are made as to how the educational community…
ERIC Educational Resources Information Center
Ucgun, Duygu
2011-01-01
The purpose of this study is to examine the writing anxiety levels of primary school 6, 7 and 8th year students in terms of several variables using the "writing anxiety scale" developed by Yaman (2010). The study group is composed of 1407 students enrolled at the 6, 7 and 8th years of 10 primary schools in Sarkisla district of Sivas province. The…
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...
NASA Astrophysics Data System (ADS)
Safadi, Rafi'
2017-01-01
I examined the impact of a self-diagnosis activity on students’ conceptual understanding and achievements in physics. This activity requires students to self-diagnose their solutions to problems that they have solved on their own—namely, to identify and explain their errors—and self-score them—that is, assign scores to their solutions—aided by a rubric demonstrating how to solve each problem step by step. I also examined a common practice in the physics classroom in which teachers manage a whole class discussion during which they solve, together with their students, problems that students had solved on their own. Three 8th-grade classes studying force and motion with the same teacher participated. Students were first taught the unit in force and motion. Then a first summative exam was administered. Next, two classes (59 students) were assigned to the self-diagnosis activity and the other class to the whole class discussion (27 students). To assess students’ learning with these activities, a repeat exam was administered. Results suggest that at least for teachers who are not competent in managing argumentative class discussions, the self-diagnosis activity is more effective than the whole class discussion in advancing students’ conceptual understanding and achievements. I account for these results and suggest possible directions for future research.
The Algebra Initiative Colloquium. Volume 2: Working Group Papers.
ERIC Educational Resources Information Center
Lacampagne, Carole B., Ed.; And Others
This volume presents recommendations from four working groups at a conference on reform in algebra held in Leesburg, Virginia, December 9-12, 1993. Working Group 1: Creating an Appropriate Algebra Experience for All Grades K-12 Students produced the following papers: (1) "Report" (A. H. Schoenfeld); (2) "Five Questions About Algebra…
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
Supersymmetry in physics: an algebraic overview
Ramond, P.
1983-01-01
In 1970, while attempting to generalize the Veneziano model (string model) to include fermions, I introduced a new algebraic structure which turned out to be a graded Lie algebra; it was used as a spectrum-generating algebra. This approach was soon after generalized to include interactions, yielding a complete model of fermions and boson (RNS model). In an unrelated work in the Soviet Union, it was shown how to generalize the Poincare group to include fermionic charges. However it was not until 1974 that an interacting field theory invariant under the Graded Poincare group in 3 + 1 dimensions was built (WZ model). Supersymmetric field theories turned out to have less divergent ultraviolet behavior than non-supersymmetric field theories. Gravity was generalized to include supersymmetry, to a theory called supergravity. By now many interacting local field theories exhibiting supersymmetry have been built and studied from 1 + 1 to 10 + 1 dimensions. Supersymmetric local field theories in less than 9 + 1 dimensions, can be understood as limits of multilocal (string) supersymmetric theories, in 9 + 1 dimensions. On the other hand, graded Lie algebras have been used in non-relativistic physics as approximate symmetries of Hamiltonians. The most striking such use so far helps comparing even and odd nuclei energy levels. It is believed that graded Lie algebras can be used whenever paired and unpaired fermions excitations can coexist. In this overview of a tremendously large field, I will only survey finite graded Lie algebras and their representations. For non-relativistic applications, all of GLA are potentially useful, while for relativistic applications, only these which include the Poincare group are to be considered.
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.
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
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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"…
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…
Rudd, Cheryl; Mwenda, Jason; Chilengi, Roma
2015-06-26
The 8th African Rotavirus Symposium was held in Livingstone, Zambia from the 12-13 June 2014. Over 130 delegates from 35 countries - 28 from African nations - participated in this symposium, which included scientists, clinicians, immunisation managers, public health officials, policymakers and vaccine manufacturers. The theme for the symposium was Rotavirus Landscape in Africa-Towards Prevention and Control. At the time of the symposium, a total of 21 African countries had introduced the rotavirus vaccine into their national immunisation schedules. This meeting was particularly timely and relevant to review early data on vaccine adoption and impact from these countries. The concluding panel discussion proposed several recommendations for areas of focus moving forward in rotavirus advocacy and research.
Kopstein, A N; Crum, R M; Celentano, D D; Martin, S S
2001-05-01
This cross-sectional school-based study explored the relationship between adolescent use of cigarettes and marijuana and the sensation seeking personality factors of (1) Disinhibition and (2) Thrill and Adventure Seeking. The study population included a representative sample of both male and female 8th and 11th graders in the state of Delaware. Analytic methods utilized included correlational analysis and multivariate logistic regression. In the multivariate logistic regression models, the Disinhibition personality factor accounted for cigarette and marijuana using behaviors with odds ratios ranging between 2 and 3. Thrill and Adventure Seeking was not a significant explanatory variable in any of the final multivariate models. Potential confounders (age, gender and race) were considered in all analyses. Of all the two-way interactions assessed, none was significant. The findings from this study utilizing a large general community sample indicate that sensation seeking needs are a potential risk factor for adolescent substance use.
NASA Astrophysics Data System (ADS)
Safadi, Rafi'; Safadi, Ekhlass; Meidav, Meir
2017-01-01
This study compared students’ learning in troubleshooting and problem solving activities. The troubleshooting activities provided students with solutions to conceptual problems in the form of refutation texts; namely, solutions that portray common misconceptions, refute them, and then present the accepted scientific ideas. They required students to individually diagnose these solutions; that is, to identify the erroneous and correct parts of the solutions and explain in what sense they differed, and later share their work in whole class discussions. The problem solving activities required the students to individually solve these same problems, and later share their work in whole class discussions. We compared the impact of the individual work stage in the troubleshooting and problem solving activities on promoting argumentation in the subsequent class discussions, and the effects of these activities on students’ engagement in self-repair processes; namely, in learning processes that allowed the students to self-repair their misconceptions, and by extension on advancing their conceptual knowledge. Two 8th grade classes studying simple electric circuits with the same teacher took part. One class (28 students) carried out four troubleshooting activities and the other (31 students) four problem solving activities. These activities were interwoven into a twelve lesson unit on simple electric circuits that was spread over a period of 2 months. The impact of the troubleshooting activities on students’ conceptual knowledge was significantly higher than that of the problem solving activities. This result is consistent with the finding that the troubleshooting activities engaged students in self-repair processes whereas the problem solving activities did not. The results also indicated that diagnosing solutions to conceptual problems in the form of refutation texts, as opposed to solving these same problems, apparently triggered argumentation in subsequent class
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.
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…
ERIC Educational Resources Information Center
Miller, L. Diane; England, David A.
1989-01-01
Describes a study in a large metropolitan high school to ascertain what influence the use of regular writing in algebra classes would have on students' attitudes towards algebra and their skills in algebra. Reports the simpler and more direct the writing topics the better. (MVL)
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.
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…
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…
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.
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.
Discrete Minimal Surface Algebras
NASA Astrophysics Data System (ADS)
Arnlind, Joakim; Hoppe, Jens
2010-05-01
We consider discrete minimal surface algebras (DMSA) as generalized noncommutative analogues of minimal surfaces in higher dimensional spheres. These algebras appear naturally in membrane theory, where sequences of their representations are used as a regularization. After showing that the defining relations of the algebra are consistent, and that one can compute a basis of the enveloping algebra, we give several explicit examples of DMSAs in terms of subsets of sln (any semi-simple Lie algebra providing a trivial example by itself). A special class of DMSAs are Yang-Mills algebras. The representation graph is introduced to study representations of DMSAs of dimension d ≤ 4, and properties of representations are related to properties of graphs. The representation graph of a tensor product is (generically) the Cartesian product of the corresponding graphs. We provide explicit examples of irreducible representations and, for coinciding eigenvalues, classify all the unitary representations of the corresponding algebras.
Ureyen, Orhan; Meral, Ulvi Mehmet
2016-01-01
Because of different prognosis of gastric cancer patients with the same T and N stages, the impossibility of N3 staging in patients with fewer than 15 removed lymph nodes, and the presence of stage migration phenomenon, the 6th edition TNM Staging System for gastric cancer was updated to the 7th edition TNM staging system in 2009. Despite some opposing views, the superiority of the 7th edition TNM staging system compared to the 6th has been demonstrated in many studies. However, there are doubts about the 7th edition that it will reduce the stage migration phenomenon. The most important problem about the 7th TNM staging system is regarding subgroups N3a and N3b. The separation of N3 stage as N3a and N3b does not contribute to the TNM staging system. In conclusion, separate usage of N3a and N3b subgroups in the TNM staging system should be considered in the creation phase of the 8th edition. PMID:28053675
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.
STUDY OF VARIABLES ASSOCIATED WITH FINAL GRADES IN MATHEMATICS COURSES.
ERIC Educational Resources Information Center
DAVIS, ELTON C.; RISSER, JOHN J.
THIS STUDY WAS CONDUCTED IN ORDER TO DETERMINE THE RELATIVE VALUE OF PREVIOUS GRADES IN MATHEMATICS COURSES, THE OVERALL HIGH SCHOOL GRADE POINT AVERAGE, AND THE PLACEMENT TEST IN MATHEMATICS DEVELOPED AT THE COLLEGE AS PREDICTORS OF ACHIEVEMENT IN INTRODUCTORY AND INTERMEDIATE ALGEBRA, IN COLLEGE ALGEBRA, IN TRIGONOMETRY, AND IN ANALYTIC GEOMETRY…
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.…
Prediction of Algebraic Instabilities
NASA Astrophysics Data System (ADS)
Zaretzky, Paula; King, Kristina; Hill, Nicole; Keithley, Kimberlee; Barlow, Nathaniel; Weinstein, Steven; Cromer, Michael
2016-11-01
A widely unexplored type of hydrodynamic instability is examined - large-time algebraic growth. Such growth occurs on the threshold of (exponentially) neutral stability. A new methodology is provided for predicting the algebraic growth rate of an initial disturbance, when applied to the governing differential equation (or dispersion relation) describing wave propagation in dispersive media. Several types of algebraic instabilities are explored in the context of both linear and nonlinear waves.
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
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
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
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
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 EOCT…
Bicovariant quantum algebras and quantum Lie algebras
NASA Astrophysics Data System (ADS)
Schupp, Peter; Watts, Paul; Zumino, Bruno
1993-10-01
A bicovariant calculus of differential operators on a quantum group is constructed in a natural way, using invariant maps from Fun(mathfrak{G}_q ) to U q g, given by elements of the pure braid group. These operators—the “reflection matrix” Y≡L + SL - being a special case—generate algebras that linearly close under adjoint actions, i.e. they form generalized Lie algebras. We establish the connection between the Hopf algebra formulation of the calculus and a formulation in compact matrix form which is quite powerful for actual computations and as applications we find the quantum determinant and an orthogonality relation for Y in SO q (N).
ERIC Educational Resources Information Center
Arizona Commission of Indian Affairs, Phoenix.
Proceedings from the 8th Indian Town Hall include conference activities of 22 representatives of American Indian tribes and the State of Arizona as they participated in the 2-day conference on state-tribal relationships. Eleven keynote speeches in full text are presented along with comments from seven tribal representatives on the conference and…
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...
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…
Parastatistics Algebras and Combinatorics
NASA Astrophysics Data System (ADS)
Popov, T.
2005-03-01
We consider the algebras spanned by the creation parafermionic and parabosonic operators which give rise to generalized parastatistics Fock spaces. The basis of such a generalized Fock space can be labelled by Young tableaux which are combinatorial objects. By means of quantum deformations a nice combinatorial structure of the algebra of the plactic monoid that lies behind the parastatistics is revealed.
Algebraic Reasoning through Patterns
ERIC Educational Resources Information Center
Rivera, F. D.; Becker, Joanne Rossi
2009-01-01
This article presents the results of a three-year study that explores students' performance on patterning tasks involving prealgebra and algebra. The findings, insights, and issues drawn from the study are intended to help teach prealgebra and algebra. In the remainder of the article, the authors take a more global view of the three-year study on…
Learning Activity Package, Algebra.
ERIC Educational Resources Information Center
Evans, Diane
A set of ten teacher-prepared Learning Activity Packages (LAPs) in beginning algebra and nine in intermediate algebra, these units cover sets, properties of operations, number systems, open expressions, solution sets of equations and inequalities in one and two variables, exponents, factoring and polynomials, relations and functions, radicals,…
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.
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…
ERIC Educational Resources Information Center
Carson, Cristi L.; Day, Judith
This paper argues that operations with negative numbers should be taught using a curriculum that is grounded in algebraic geometry. This position is supported by the results from a study that compared the conceptual understanding of grade 9 students who received the Algebra Project transition curriculum to a control group of grade 6 gifted…
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…
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
Minimum deformations of commutative algebra and linear group GL(n)
NASA Astrophysics Data System (ADS)
Zupnik, B. M.
1993-06-01
In the algebra of formal series M q ( x i ), the relations of generalized commutativity that preserve the tensor I q grading and depend on parameters q(i, k) are considered. A norm of the differential calculus on M q consistent with the I q grading is chosen. A new construction of a symmetrized tensor product of algebras of the type M q ( x i ) and a corresponding definition of the minimally deformed linear group QGL(n) and Lie algebra qgl(n) are proposed. A study is made of the connection of QGL(n) and qgl(n) with the special matrix algebra Mat( n, Q), which consists of matrices with noncommuting elements. The deformed determinant in the algebra Mat( n, Q) is defined. The exponential mapping in the algebra Mat( n, Q) is considered on the basis of the Campbell-Hausdorff formula.
Algebraic Nonlinear Collective Motion
NASA Astrophysics Data System (ADS)
Troupe, J.; Rosensteel, G.
1998-11-01
Finite-dimensional Lie algebras of vector fields determine geometrical collective models in quantum and classical physics. Every set of vector fields on Euclidean space that generates the Lie algebra sl(3, R) and contains the angular momentum algebra so(3) is determined. The subset of divergence-free sl(3, R) vector fields is proven to be indexed by a real numberΛ. TheΛ=0 solution is the linear representation that corresponds to the Riemann ellipsoidal model. The nonlinear group action on Euclidean space transforms a certain family of deformed droplets among themselves. For positiveΛ, the droplets have a neck that becomes more pronounced asΛincreases; for negativeΛ, the droplets contain a spherical bubble of radius |Λ|1/3. The nonlinear vector field algebra is extended to the nonlinear general collective motion algebra gcm(3) which includes the inertia tensor. The quantum algebraic models of nonlinear nuclear collective motion are given by irreducible unitary representations of the nonlinear gcm(3) Lie algebra. These representations model fissioning isotopes (Λ>0) and bubble and two-fluid nuclei (Λ<0).
Algebraic invariants for homotopy types
NASA Astrophysics Data System (ADS)
Blanc, David
1999-11-01
We define a sequence of purely algebraic invariants - namely, classes in the Quillen cohomology of the [Pi]-algebra [pi][low asterisk]X - for distinguishing between different homotopy types of spaces. Another sequence of such cohomology classes allows one to decide whether a given abstract [Pi]-algebra can be realized as the homotopy [Pi]-algebra of a space.
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,…
Superalgebra realization of the 3-algebras in N=6, 8 Chern-Simons-matter theories
NASA Astrophysics Data System (ADS)
Chen, Fa-Min
2012-01-01
We use superalgebras to realize the 3-algebras used to construct N=6, 8 Chern-Simons-matter (CSM) theories. We demonstrate that the superalgebra realization of the 3-algebras provides a unified framework for classifying the gauge groups of the Nge 5 theories based on 3-algebras. Using this realization, we rederive the ordinary Lie algebra construction of the general N=6 CSM theory from its 3-algebra counterpart and reproduce all known examples as well. In particular, we explicitly construct the Nambu 3-bracket in terms of a double graded commutator of PSU(2|2). The N=8 theory of Bagger, Lambert and Gustavsson (BLG) with SO(4) gauge group is constructed by using several different ways. A quantization scheme for the 3-brackets is proposed by promoting the double graded commutators as quantum mechanical double graded commutators.
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
Mathematics Curriculum Guide. First and Second Course in Algebra. Supplement No. 2.
ERIC Educational Resources Information Center
Gary City Public School System, IN.
GRADES OR AGES: Grade 9 and 10 (first and second courses). SUBJECT MATTER: Algebra. ORGANIZATION AND PHYSICAL APPEARANCE: The material for each grade is presented in four columns: major areas, significant anticipated outcomes, observations and suggestion, and references and films. The topics covered in the first course include reviews of set…
Pseudo-Riemannian Novikov algebras
NASA Astrophysics Data System (ADS)
Chen, Zhiqi; Zhu, Fuhai
2008-08-01
Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic-type and Hamiltonian operators in formal variational calculus. Pseudo-Riemannian Novikov algebras denote Novikov algebras with non-degenerate invariant symmetric bilinear forms. In this paper, we find that there is a remarkable geometry on pseudo-Riemannian Novikov algebras, and give a special class of pseudo-Riemannian Novikov algebras.
NASA Astrophysics Data System (ADS)
Markarian, Nikita
2017-03-01
We introduce Weyl n-algebras and show how their factorization complex may be used to define invariants of manifolds. In the appendix, we heuristically explain why these invariants must be perturbative Chern-Simons invariants.
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)
Jordan Algebraic Quantum Categories
NASA Astrophysics Data System (ADS)
Graydon, Matthew; Barnum, Howard; Ududec, Cozmin; Wilce, Alexander
2015-03-01
State cones in orthodox quantum theory over finite dimensional complex Hilbert spaces enjoy two particularly essential features: homogeneity and self-duality. Orthodox quantum theory is not, however, unique in that regard. Indeed, all finite dimensional formally real Jordan algebras -- arenas for generalized quantum theories with close algebraic kinship to the orthodox theory -- admit homogeneous self-dual positive cones. We construct categories wherein these theories are unified. The structure of composite systems is cast from universal tensor products of the universal C*-algebras enveloping ambient spaces for the constituent state cones. We develop, in particular, a notion of composition that preserves the local distinction of constituent systems in quaternionic quantum theory. More generally, we explicitly derive the structure of hybrid quantum composites with subsystems of arbitrary Jordan algebraic type.
Accounting Equals Applied Algebra.
ERIC Educational Resources Information Center
Roberts, Sondra
1997-01-01
Argues that students should be given mathematics credits for completing accounting classes. Demonstrates that, although the terminology is different, the mathematical concepts are the same as those used in an introductory algebra class. (JOW)
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.
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.
ERIC Educational Resources Information Center
Fuchs, Lynn S.; Compton, Donald L.; Fuchs, Douglas; Hollenbeck, Kurstin N.; Hamlett, Carol L.; Seethaler, Pamela M.
2011-01-01
The purpose of this study was to explore the utility of a dynamic assessment (DA) of algebraic learning in predicting third graders' development of mathematics word-problem difficulty. In the fall, 122 third-grade students were assessed on a test of math word-problem skill and DA of algebraic learning. In the spring, they were assessed on…
ERIC Educational Resources Information Center
Jensen, Jennifer
2014-01-01
This study sought to determine if there is a relationship between students' scores on the eighth-grade Indiana State Test of Education Progress Plus (ISTEP+) exam and success on Indiana's Algebra End-of-Course Assessment (ECA). Additionally, it sought to determine if algebra success could be significantly predicted by the achievement in one or…
An Investigation of Selected Variables Related to Student Algebra I Performance in Mississippi
ERIC Educational Resources Information Center
Scott, Undray
2016-01-01
This research study attempted to determine if specific variables were related to student performance on the Algebra I subject-area test. This study also sought to determine in which of grades 8, 9, or 10 students performed better on the Algebra I Subject Area Test. This study also investigated the different criteria that are used to schedule…
Underprepared Students' Performance on Algebra in a Double-Period High School Mathematics Program
ERIC Educational Resources Information Center
Martinez, Mara V.; Bragelman, John; Stoelinga, Timothy
2016-01-01
The primary goal of the Intensified Algebra I (IA) program is to enable mathematically underprepared students to successfully complete Algebra I in 9th grade and stay on track to meet increasingly rigorous high school mathematics graduation requirements. The program was designed to bring a range of both cognitive and non-cognitive supports to bear…
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…
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…
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…
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…
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…
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…
Ignatova, Svetlana; Sutherland, Ian
2015-12-18
The 8th International Conference on Counter-current Chromatography (CCC2014) was held at Brunel University London from July 23rd to 25th, 2014. It has been 14 years since Brunel hosted the first International Conference on CCC (CCC2000) at the beginning of the millennium and therefore, it was a good opportunity to review the progress of this emerging technology and particularly the impact it is having with industry today.
Grading for Understanding - Standards-Based Grading
NASA Astrophysics Data System (ADS)
Zimmerman, Todd
2017-01-01
Standards-based grading (SBG), sometimes called learning objectives-based assessment (LOBA), is an assessment model that relies on students demonstrating mastery of learning objectives (sometimes referred to as standards). The goal of this grading system is to focus students on mastering learning objectives rather than on accumulating points. I have used SBG in an introductory physics course for the past five years and worked with several physics faculty members to implement SBG in the first and second semester of algebra-based and calculus-based introductory physics courses at a primarily undergraduate comprehensive public university with class sizes of 48 students. In this article I will discuss methods for implementing SBG in a physics class.
Algebraic mesh quality metrics
KNUPP,PATRICK
2000-04-24
Quality metrics for structured and unstructured mesh generation are placed within an algebraic framework to form a mathematical theory of mesh quality metrics. The theory, based on the Jacobian and related matrices, provides a means of constructing, classifying, and evaluating mesh quality metrics. The Jacobian matrix is factored into geometrically meaningful parts. A nodally-invariant Jacobian matrix can be defined for simplicial elements using a weight matrix derived from the Jacobian matrix of an ideal reference element. Scale and orientation-invariant algebraic mesh quality metrics are defined. the singular value decomposition is used to study relationships between metrics. Equivalence of the element condition number and mean ratio metrics is proved. Condition number is shown to measure the distance of an element to the set of degenerate elements. Algebraic measures for skew, length ratio, shape, volume, and orientation are defined abstractly, with specific examples given. Combined metrics for shape and volume, shape-volume-orientation are algebraically defined and examples of such metrics are given. Algebraic mesh quality metrics are extended to non-simplical elements. A series of numerical tests verify the theoretical properties of the metrics defined.
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…
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…
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 York…
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…
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.
NASA Astrophysics Data System (ADS)
Durka, R.
2017-04-01
The S-expansion framework is analyzed in the context of a freedom in closing the multiplication tables for the abelian semigroups. Including the possibility of the zero element in the resonant decomposition, and associating the Lorentz generator with the semigroup identity element, leads to a wide class of the expanded Lie algebras introducing interesting modifications to the gauge gravity theories. Among the results, we find all the Maxwell algebras of type {{B}m} , {{C}m} , and the recently introduced {{D}m} . The additional new examples complete the resulting generalization of the bosonic enlargements for an arbitrary number of the Lorentz-like and translational-like generators. Some further prospects concerning enlarging the algebras are discussed, along with providing all the necessary constituents for constructing the gravity actions based on the obtained results.
Algebra for Gifted Third Graders.
ERIC Educational Resources Information Center
Borenson, Henry
1987-01-01
Elementary school children who are exposed to a concrete, hands-on experience in algebraic linear equations will more readily develop a positive mind-set and expectation for success in later formal, algebraic studies. (CB)
A Holistic Approach to Algebra.
ERIC Educational Resources Information Center
Barbeau, Edward J.
1991-01-01
Described are two examples involving recursive mathematical sequences designed to integrate a holistic approach to learning algebra. These examples promote pattern recognition with algebraic justification, full class participation, and mathematical values that can be transferred to other situations. (MDH)
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.
The Dixmier Map for Nilpotent Super Lie Algebras
NASA Astrophysics Data System (ADS)
Herscovich, Estanislao
2012-07-01
In this article we prove that there exists a Dixmier map for nilpotent super Lie algebras. In other words, if we denote by {Prim({U}({g}))} the set of (graded) primitive ideals of the enveloping algebra {{U}({g})} of a nilpotent Lie superalgebra {{g}} and {{A}d0} the adjoint group of {{g}0}, we prove that the usual Dixmier map for nilpotent Lie algebras can be naturally extended to the context of nilpotent super Lie algebras, i.e. there exists a bijective map I : {g}0^{*}/{A}d0 rightarrow Prim({U}({g})) defined by sending the equivalence class [ λ] of a functional λ to a primitive ideal I( λ) of {{U}({g})}, and which coincides with the Dixmier map in the case of nilpotent Lie algebras. Moreover, the construction of the previous map is explicit, and more or less parallel to the one for Lie algebras, a major difference with a previous approach ( cf. [18]). One key fact in the construction is the existence of polarizations for super Lie algebras, generalizing the concept defined for Lie algebras. As a corollary of the previous description, we obtain the isomorphism {{U}({g})/I(λ) ˜eq Cliffq(k) ⊗ Ap(k)}, where {(p,q) = (dim({g}0/{g}0^{λ})/2,dim({g}1/{g}1^{λ}))}, we get a direct construction of the maximal ideals of the underlying algebra of {{U}({g})} and also some properties of the stabilizers of the primitive ideals of {{U}({g})}.
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
An algebra of reversible computation.
Wang, Yong
2016-01-01
We design an axiomatization for reversible computation called reversible ACP (RACP). It has four extendible modules: basic reversible processes algebra, algebra of reversible communicating processes, recursion and abstraction. Just like process algebra ACP in classical computing, RACP can be treated as an axiomatization foundation for reversible computation.
NASA Technical Reports Server (NTRS)
Tralli, David M.; Dixon, Timothy H.
1988-01-01
GPS geodetic measurements of 350-650 km baselines across the Pacific-North America plate boundary in the Gulf of California are presented. The analysis employs a four-station U.S. fiducial network and combined carrier phase and pseudorange data. Water vapor radiometer data at the Gulf sites are used to calibrate the GPS signal for wet tropospheric path delays. Residual tropospheric delays are modeled as first-order exponentially correlated stochastic processes. The measurement precision for horizontal components is a few parts in 10 to the 8th or better.
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
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.…
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…
Algebraic Thinking through Origami.
ERIC Educational Resources Information Center
Higginson, William; Colgan, Lynda
2001-01-01
Describes the use of paper folding to create a rich environment for discussing algebraic concepts. Explores the effect that changing the dimensions of two-dimensional objects has on the volume of related three-dimensional objects. (Contains 13 references.) (YDS)
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
Quiroz, Pamela Anne
2001-01-01
Narratives of Puerto Rican and Mexican American students, written in 8th grade and then 11th grade, describe who they are and illustrate school-sponsored silencing, with student critiques of their educational experience ignored by schools. The narratives help explain the Hispanic student high dropout rate, reasons behind students' academic…
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.
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.
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.
ERIC Educational Resources Information Center
Renchler, Ron
2000-01-01
This issue reviews grade span, or grade configuration. Catherine Paglin and Jennifer Fager's "Grade Configuration: Who Goes Where?" provides an overview of issues and concerns related to grade spans and supplies profiles of eight Northwest schools with varying grade spans. David F. Wihry, Theodore Coladarci, and Curtis Meadow's…
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.
ERIC Educational Resources Information Center
Kaput, James J.; Blanton, Maria L.
This paper describes an intensive 3-year classroom- and district-based study of the process of integrating the development of algebraic reasoning into elementary school mathematics in an educationally underachieving school district based on a year-long pilot effort in 1997-98 with two 5th grade teachers and one 6th grade teacher. In 1998-99, the…
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.
Lee, Jaehoon; Wilczek, Frank
2013-11-27
Motivated by the problem of identifying Majorana mode operators at junctions, we analyze a basic algebraic structure leading to a doubled spectrum. For general (nonlinear) interactions the emergent mode creation operator is highly nonlinear in the original effective mode operators, and therefore also in the underlying electron creation and destruction operators. This phenomenon could open up new possibilities for controlled dynamical manipulation of the modes. We briefly compare and contrast related issues in the Pfaffian quantum Hall state.
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®,…
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.
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)
Clifford Algebras and Their Decomposition into Conjugate Fermionic Heisenberg Algebras
NASA Astrophysics Data System (ADS)
Catto, Sultan; Gürcan, Yasemin; Khalfan, Amish; Kurt, Levent; Kato La, V.
2016-10-01
We discuss a construction scheme for Clifford numbers of arbitrary dimension. The scheme is based upon performing direct products of the Pauli spin and identity matrices. Conjugate fermionic algebras can then be formed by considering linear combinations of the Clifford numbers and the Hermitian conjugates of such combinations. Fermionic algebras are important in investigating systems that follow Fermi-Dirac statistics. We will further comment on the applications of Clifford algebras to Fueter analyticity, twistors, color algebras, M-theory and Leech lattice as well as unification of ancient and modern geometries through them.
1998-09-01
The South 8th Street Landfill Superfund Site (Site), CERCLIS ID No. ARD980496723, is located in West Memphis, Crittenden County, Arkansas. In the 1994 ROD, EPA divided the Site into a source control operable unit and a ground water operable unit. The source control operable unit contains an oily sludge pit, which is identified as a principal threat, and a landfill identified as a low-level threat. This ROD Amendment addresses both operable units by: (1) amending the remedy for the oily sludge pit area in the source control operable unit; (2) modifying the extent of the natural soil cover to be installed over the landfill in the source control operable unit; and (3) selecting a remedy for the ground water operable unit.
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.
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.
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.
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…
Applications of algebraic grid generation
NASA Technical Reports Server (NTRS)
Eiseman, Peter R.; Smith, Robert E.
1990-01-01
Techniques and applications of algebraic grid generation are described. The techniques are univariate interpolations and transfinite assemblies of univariate interpolations. Because algebraic grid generation is computationally efficient, the use of interactive graphics in conjunction with the techniques is advocated. A flexible approach, which works extremely well in an interactive environment, called the control point form of algebraic grid generation is described. The applications discussed are three-dimensional grids constructed about airplane and submarine configurations.
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…
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…
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…
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
Potential for Significant Reductions in Dropout Rates: Analysis of an Entire 3rd Grade State Cohort
ERIC Educational Resources Information Center
Cratty, Dorothyjean
2012-01-01
Nineteen percent of 1997-98 North Carolina 3rd graders were observed to drop out of high school. A series of logits predict probabilities of dropping out on determinants such as math and reading test scores, absenteeism, suspension, and retention, at the following grade levels: 3rd, 5th, 8th, and 9th. The same cohort and variables are used to…
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…
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…
The State of Mathematics Achievement in Rhode Island: 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…
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 Readiness…
The State of Mathematics Achievement in New Mexico: 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…
Patterns to Develop Algebraic Reasoning
ERIC Educational Resources Information Center
Stump, Sheryl L.
2011-01-01
What is the role of patterns in developing algebraic reasoning? This important question deserves thoughtful attention. In response, this article examines some differing views of algebraic reasoning, discusses a controversy regarding patterns, and describes how three types of patterns--in contextual problems, in growing geometric figures, and in…
Viterbi/algebraic hybrid decoder
NASA Technical Reports Server (NTRS)
Boyd, R. W.; Ingels, F. M.; Mo, C.
1980-01-01
Decoder computer program is hybrid between optimal Viterbi and optimal algebraic decoders. Tests have shown that hybrid decoder outperforms any strictly Viterbi or strictly algebraic decoder and effectively handles compound channels. Algorithm developed uses syndrome-detecting logic to direct two decoders to assume decoding load alternately, depending on real-time channel characteristics.
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.)
Elementary maps on nest algebras
NASA Astrophysics Data System (ADS)
Li, Pengtong
2006-08-01
Let , be algebras and let , be maps. An elementary map of is an ordered pair (M,M*) such that for all , . In this paper, the general form of surjective elementary maps on standard subalgebras of nest algebras is described. In particular, such maps are automatically additive.
Linear algebra and image processing
NASA Astrophysics Data System (ADS)
Allali, Mohamed
2010-09-01
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.
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.)
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 the…
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…
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…
ERIC Educational Resources Information Center
Weiss, Christopher C.; Baker-Smith, E. Christine
2010-01-01
We examine a set of academic and social outcomes in 9th grade, comparing middle school attendees with those who attended K-8 schools. Previous research with these data has shown that there are few differences in 8th-grade outcomes by school type. Here we extend these findings to determine whether school form influences student outcomes in the…
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.
Symplectic Clifford Algebraic Field Theory.
NASA Astrophysics Data System (ADS)
Dixon, Geoffrey Moore
We develop a mathematical framework on which is built a theory of fermion, scalar, and gauge vector fields. This field theory is shown to be equivalent to the original Weinberg-Salam model of weak and electromagnetic interactions, but since the new framework is more rigid than that on which the original Weinberg-Salam model was built, a concomitant reduction in the number of assumptions lying outside of the framework has resulted. In particular, parity violation is actually hiding within our framework, and with little difficulty we are able to manifest it. The mathematical framework upon which we build our field theory is arrived at along two separate paths. The first is by the marriage of a Clifford algebra and a Lie superalgebra, the result being called a super Clifford algebra. The second is by providing a new characterization for a Clifford algebra employing its generators and a symmetric array of metric coefficients. Subsequently we generalize this characterization to the case of an antisymmetric array of metric coefficients, and we call the algebra which results a symplectic Clifford algebra. It is upon one of these that we build our field theory, and it is shown that this symplectic Clifford algebra is a particular subalgebra of a super Clifford algebra. The final ingredient is the operation of bracketing which involves treating the elements of our algebra as endomorphisms of a particular inner product space, and employing this space and its inner product to provide us with maps from our algebra to the reals. It is this operation which enables us to manifest the parity violation hiding in our algebra.
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)
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.
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.
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.
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…
Investigating Teacher Noticing of Student Algebraic Thinking
ERIC Educational Resources Information Center
Walkoe, Janet Dawn Kim
2013-01-01
Learning algebra is critical for students in the U.S. today. Algebra concepts provide the foundation for much advanced mathematical content. In addition, algebra serves as a gatekeeper to opportunities such as admission to college. Yet many students in the U.S. struggle in algebra classes. Researchers claim that one reason for these difficulties…
Yang, Y M
2017-01-01
Accurate staging for cancer is the basis for clinical practice, individualized treatment strategy, and prognosis determination.Recently, the T and N staging systems for pancreatic adenocarcinoma were updated by both American Joint Commission on Cancer(AJCC)8(th) edition and Japanese Pancreas Society 7(th) edition, in which more objective parameters were applied.When a large number of patients within the test set were staged, AJCC 8(th) edition has showed more reproducible and helped to predict the patient prognosis more accurately.
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…
Asymptotic aspect of derivations in Banach algebras.
Roh, Jaiok; Chang, Ick-Soon
2017-01-01
We prove that every approximate linear left derivation on a semisimple Banach algebra is continuous. Also, we consider linear derivations on Banach algebras and we first study the conditions for a linear derivation on a Banach algebra. Then we examine the functional inequalities related to a linear derivation and their stability. We finally take central linear derivations with radical ranges on semiprime Banach algebras and a continuous linear generalized left derivation on a semisimple Banach algebra.
Computing Matrix Representations of Filiform Lie Algebras
NASA Astrophysics Data System (ADS)
Ceballos, Manuel; Núñez, Juan; Tenorio, Ángel F.
In this paper, we compute minimal faithful unitriangular matrix representations of filiform Lie algebras. To do it, we use the nilpotent Lie algebra, g_n, formed of n ×n strictly upper-triangular matrices. More concretely, we search the lowest natural number n such that the Lie algebra g_n contains a given filiform Lie algebra, also computing a representative of this algebra. All the computations in this paper have been done using MAPLE 9.5.
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.
NASA Astrophysics Data System (ADS)
Savage, H. M.; Keranen, K. M.; Schaff, D. P.; Dieck, C. C. M.
2014-12-01
Although most faults are surrounded by a halo of fractured rock known as a damage zone, it is not clear what role damage zones play during the seismic cycle on mature faults. Here, we present a superbly-located foreshock-mainshock-aftershock sequence surrounding the November 8, M5 Prague Oklahoma earthquake, which demonstrates most aftershocks are located within the damage zone surrounding the fault. The 2011 Prague, Oklahoma sequence included three M5+ earthquakes along three different faults over a three-day period. The November 8th event was third in the sequence and captured with an array of nine seismometers with ~2 km spacing, allowing for precise event location. We located more than 1000 foreshocks and aftershocks within a 14 hour time window, and relocated these aftershocks using waveform cross correlation and HypoDD. Because of the location precision, we can use these events to investigate spatial and temporal complexity of the foreshock and aftershock sequences. First, we compare the aftershock distribution to fracture distributions within damage zones surrounding faults. The aftershock sequence localizes to a reasonable damage zone thickness given the rupture length of the event, according to previously documented scaling between fault length and damage zone thickness. Furthermore, the aftershock density is constant within the fault zone, but falls off precipitously outside of the damage zone. Most aftershocks in this sequence occur within the first hour after the mainshock, and there is some indication of temporal migration of aftershocks away from the fault. Finally, foreshock activity along this fault was limited to the intersection with the fault that had hosted a M5.7 earthquake two days prior. Because this earthquake is potentially linked to fluid waste disposal, we interpret our results in terms of hydraulic pressure changes during the foreshock-mainshock-aftershock sequence.
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.
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)
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.
Coherent States for Hopf Algebras
NASA Astrophysics Data System (ADS)
Škoda, Zoran
2007-07-01
Families of Perelomov coherent states are defined axiomatically in the context of unitary representations of Hopf algebras. A global geometric picture involving locally trivial noncommutative fibre bundles is involved in the construction. If, in addition, the Hopf algebra has a left Haar integral, then a formula for noncommutative resolution of identity in terms of the family of coherent states holds. Examples come from quantum groups.
Multiplier operator algebras and applications
Blecher, David P.; Zarikian, Vrej
2004-01-01
The one-sided multipliers of an operator space X are a key to “latent operator algebraic structure” in X. We begin with a survey of these multipliers, together with several of the applications that they have had to operator algebras. We then describe several new results on one-sided multipliers, and new applications, mostly to one-sided M-ideals. PMID:14711990
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).
ERIC Educational Resources Information Center
Nomi, Takako
2012-01-01
In 1997, Chicago implemented a policy that required algebra for all ninth-grade students, eliminating all remedial coursework. This policy increased opportunities to take algebra for low-skill students who had previously enrolled in remedial math. However, little is known about how schools respond to the policy in terms of organizing math…
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…
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.
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 2nd- 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
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.
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...
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.
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.
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…
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…
Novikov algebras with associative bilinear forms
NASA Astrophysics Data System (ADS)
Zhu, Fuhai; Chen, Zhiqi
2007-11-01
Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic-type and Hamiltonian operators in formal variational calculus. The goal of this paper is to study Novikov algebras with non-degenerate associative symmetric bilinear forms, which we call quadratic Novikov algebras. Based on the classification of solvable quadratic Lie algebras of dimension not greater than 4 and Novikov algebras in dimension 3, we show that quadratic Novikov algebras up to dimension 4 are commutative. Furthermore, we obtain the classification of transitive quadratic Novikov algebras in dimension 4. But we find that not every quadratic Novikov algebra is commutative and give a non-commutative quadratic Novikov algebra in dimension 6.
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
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…
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
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
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
Tsai, Liang-Ting; Yang, Chih-Chien
2015-01-01
This study was conducted to understand the effect of student-, classroom-, and school-level factors on the science performance of 8th-grade Taiwanese students in the Trends in International Mathematics and Science Study (TIMSS) 2011 by using multilevel analysis. A total of 5,042 students from 153 classrooms of 150 schools participated in the TIMSS…
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
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…
Quantum Q systems: from cluster algebras to quantum current algebras
NASA Astrophysics Data System (ADS)
Di Francesco, Philippe; Kedem, Rinat
2017-02-01
This paper gives a new algebraic interpretation for the algebra generated by the quantum cluster variables of the A_r quantum Q-system (Di Francesco and Kedem in Int Math Res Not IMRN 10:2593-2642, 2014). We show that the algebra can be described as a quotient of the localization of the quantum algebra U_{√{q}}({n}[u,u^{-1}])subset U_{√{q}}(widehat{{sl}}_2), in the Drinfeld presentation. The generating current is made up of a subset of the cluster variables which satisfy the Q-system, which we call fundamental. The other cluster variables are given by a quantum determinant-type formula, and are polynomials in the fundamental generators. The conserved quantities of the discrete evolution (Di Francesco and Kedem in Adv Math 228(1):97-152, 2011) described by quantum Q-system generate the Cartan currents at level 0, in a non-standard polarization. The rest of the quantum affine algebra is also described in terms of cluster variables.
Algebra: Mirror, Mirror on the Universe. NASA Connect: Program 7 in the 1999-2000 Series.
ERIC Educational Resources Information Center
National Aeronautics and Space Administration, Hampton, VA. Langley Research Center.
This teaching unit is designed to help students in grades 4-8 explore the concepts of algebra in the context of exploring the universe. The units in this series have been developed to enhance and enrich mathematics, science, and technology education and to accommodate different teaching and learning styles. Each unit consists of a storyline…
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…
Visual, Algebraic and Mixed Strategies in Visually Presented Linear Programming Problems.
ERIC Educational Resources Information Center
Shama, Gilli; Dreyfus, Tommy
1994-01-01
Identified and classified solution strategies of (n=49) 10th-grade students who were presented with linear programming problems in a predominantly visual setting in the form of a computerized game. Visual strategies were developed more frequently than either algebraic or mixed strategies. Appendix includes questionnaires. (Contains 11 references.)…
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…
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…
ERIC Educational Resources Information Center
Ramirez, Sonia; Siadat, M. Vali
2008-01-01
The purpose of this study is to identify factors that influence students' performance in the intermediate algebra classes at the college by analyzing parameters such as test scores, grades, attitude towards mathematics, time lapse between subsequent courses, placement, and teaching practices. This study will investigate the correlation of several…
ERIC Educational Resources Information Center
Essien, Anthony A.
2011-01-01
This study investigated how a teacher in a multilingual classroom attempted to support learners who are struggling to translate written/verbal mathematics into a symbolic form. Thirty-six Grade ten learners in one multilingual classroom in South Africa were given a written test involving one algebraic question and then a discussion on the solution…
ERIC Educational Resources Information Center
Fuchs, Lynn S.; Compton, Donald L.; Fuchs, Douglas; Hollenbeck, Kurstin N.; Craddock, Caitlin F.; Hamlett, Carol L.
2008-01-01
Dynamic assessment (DA) involves helping students learn a task and indexing responsiveness to that instruction as a measure of learning potential. The purpose of this study was to explore the utility of a DA of algebraic learning in predicting third graders' development of mathematics problem solving. In the fall, 122 third-grade students were…
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…
ERIC Educational Resources Information Center
Daher, Wajeeh M.; Anabousi, Anlam A.
2015-01-01
The topic of function transformations is a difficult mathematical topic for school and college students. This article examines how students conceive function transformations after working with GeoGebra, when this conceiving relates to the algebraic representation. The research participants were 19 ninth grade high achieving students who learned,…
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.
Colored Quantum Algebra and Its Bethe State
NASA Astrophysics Data System (ADS)
Wang, Jin-Zheng; Jia, Xiao-Yu; Wang, Shi-Kun
2014-12-01
We investigate the colored Yang—Baxter equation. Based on a trigonometric solution of colored Yang—Baxter equation, we construct a colored quantum algebra. Moreover we discuss its algebraic Bethe ansatz state and highest wight representation.
Using Number Theory to Reinforce Elementary Algebra.
ERIC Educational Resources Information Center
Covillion, Jane D.
1995-01-01
Demonstrates that using the elementary number theory in algebra classes helps students to use acquired algebraic skills as well as helping them to more clearly understand concepts that are presented. Discusses factoring, divisibility rules, and number patterns. (AIM)
Algebraic orbifold conformal field theories
Xu, Feng
2000-01-01
The unitary rational orbifold conformal field theories in the algebraic quantum field theory and subfactor theory framework are formulated. Under general conditions, it is shown that the orbifold of a given unitary rational conformal field theory generates a unitary modular category. Many new unitary modular categories are obtained. It is also shown that the irreducible representations of orbifolds of rank one lattice vertex operator algebras give rise to unitary modular categories and determine the corresponding modular matrices, which has been conjectured for some time. PMID:11106383
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.
Symmetry algebras of linear differential equations
NASA Astrophysics Data System (ADS)
Shapovalov, A. V.; Shirokov, I. V.
1992-07-01
The local symmetries of linear differential equations are investigated by means of proven theorems on the structure of the algebra of local symmetries of translationally and dilatationally invariant differential equations. For a nonparabolic second-order equation, the absence of nontrivial nonlinear local symmetries is proved. This means that the local symmetries reduce to the Lie algebra of linear differential symmetry operators. For the Laplace—Beltrami equation, all local symmetries reduce to the enveloping algebra of the algebra of the conformal group.
Spatial-Operator Algebra For Robotic Manipulators
NASA Technical Reports Server (NTRS)
Rodriguez, Guillermo; Kreutz, Kenneth K.; Milman, Mark H.
1991-01-01
Report discusses spatial-operator algebra developed in recent studies of mathematical modeling, control, and design of trajectories of robotic manipulators. Provides succinct representation of mathematically complicated interactions among multiple joints and links of manipulator, thereby relieving analyst of most of tedium of detailed algebraic manipulations. Presents analytical formulation of spatial-operator algebra, describes some specific applications, summarizes current research, and discusses implementation of spatial-operator algebra in the Ada programming language.
Twining characters and orbit Lie algebras
Fuchs, Jurgen; Ray, Urmie; Schellekens, Bert; Schweigert, Christoph
1996-12-05
We associate to outer automorphisms of generalized Kac-Moody algebras generalized character-valued indices, the twining characters. A character formula for twining characters is derived which shows that they coincide with the ordinary characters of some other generalized Kac-Moody algebra, the so-called orbit Lie algebra. Some applications to problems in conformal field theory, algebraic geometry and the theory of sporadic simple groups are sketched.
... Other Funding Find NCI funding for small business innovation, technology transfer, and contracts Training Cancer Training at ... much of the tumor tissue has normal breast (milk) duct structures Nuclear grade : an evaluation of the ...
Applications of Algebraic Logic and Universal Algebra to Computer Science
1989-06-21
conference, with roughly equal representation from Mathematics and Computer Science . The conference consisted of eight invited lectures (60 minutes...each) and 26 contributed talks (20-40 minutes each). There was also a round-table discussion on the role of algebra and logic in computer science . Keywords
Toro, L.A.
1996-02-01
Consistent algebraic extensions of the Poincar{acute e} algebra are obtained in which the novel generators can act with commutators or {ital anticommutators} on the Poincar{acute e} generators. {copyright} {ital 1996 American Institute of Physics.}
A Balancing Act: Making Sense of Algebra
ERIC Educational Resources Information Center
Gavin, M. Katherine; Sheffield, Linda Jensen
2015-01-01
For most students, algebra seems like a totally different subject than the number topics they studied in elementary school. In reality, the procedures followed in arithmetic are actually based on the properties and laws of algebra. Algebra should be a logical next step for students in extending the proficiencies they developed with number topics…
Algebra? A Gate! A Barrier! A Mystery!
ERIC Educational Resources Information Center
Mathematics Educatio Dialogues, 2000
2000-01-01
This issue of Mathematics Education Dialogues focuses on the nature and the role of algebra in the K-14 curriculum. Articles on this theme include: (1) "Algebra For All? Why?" (Nel Noddings); (2) "Algebra For All: It's a Matter of Equity, Expectations, and Effectiveness" (Dorothy S. Strong and Nell B. Cobb); (3) "Don't Delay: Build and Talk about…
Unifying the Algebra for All Movement
ERIC Educational Resources Information Center
Eddy, Colleen M.; Quebec Fuentes, Sarah; Ward, Elizabeth K.; Parker, Yolanda A.; Cooper, Sandi; Jasper, William A.; Mallam, Winifred A.; Sorto, M. Alejandra; Wilkerson, Trena L.
2015-01-01
There exists an increased focus on school mathematics, especially first-year algebra, due to recent efforts for all students to be college and career ready. In addition, there are calls, policies, and legislation advocating for all students to study algebra epitomized by four rationales of the "Algebra for All" movement. In light of this…
Constraint-Referenced Analytics of Algebra Learning
ERIC Educational Resources Information Center
Sutherland, Scot M.; White, Tobin F.
2016-01-01
The development of the constraint-referenced analytics tool for monitoring algebra learning activities presented here came from the desire to firstly, take a more quantitative look at student responses in collaborative algebra activities, and secondly, to situate those activities in a more traditional introductory algebra setting focusing on…
Teaching Strategies to Improve Algebra Learning
ERIC Educational Resources Information Center
Zbiek, Rose Mary; Larson, Matthew R.
2015-01-01
Improving student learning is the primary goal of every teacher of algebra. Teachers seek strategies to help all students learn important algebra content and develop mathematical practices. The new Institute of Education Sciences[IES] practice guide, "Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students"…
Teacher Actions to Facilitate Early Algebraic Reasoning
ERIC Educational Resources Information Center
Hunter, Jodie
2015-01-01
In recent years there has been an increased emphasis on integrating the teaching of arithmetic and algebra in primary school classrooms. This requires teachers to develop links between arithmetic and algebra and use pedagogical actions that facilitate algebraic reasoning. Drawing on findings from a classroom-based study, this paper provides an…
Difficulties in Initial Algebra Learning in Indonesia
ERIC Educational Resources Information Center
Jupri, Al; Drijvers, Paul; van den Heuvel-Panhuizen, Marja
2014-01-01
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…
Cyclic homology for Hom-associative algebras
NASA Astrophysics Data System (ADS)
Hassanzadeh, Mohammad; Shapiro, Ilya; Sütlü, Serkan
2015-12-01
In the present paper we investigate the noncommutative geometry of a class of algebras, called the Hom-associative algebras, whose associativity is twisted by a homomorphism. We define the Hochschild, cyclic, and periodic cyclic homology and cohomology for this class of algebras generalizing these theories from the associative to the Hom-associative setting.
Carry Groups: Abstract Algebra Projects
ERIC Educational Resources Information Center
Miller, Cheryl Chute; Madore, Blair F.
2004-01-01
Carry Groups are a wonderful collection of groups to introduce in an undergraduate Abstract Algebra course. These groups are straightforward to define but have interesting structures for students to discover. We describe these groups and give examples of in-class group projects that were developed and used by Miller.
Algebra, Home Mortgages, and Recessions
ERIC Educational Resources Information Center
Mariner, Jean A. Miller; Miller, Richard A.
2009-01-01
The current financial crisis and recession in the United States present an opportunity to discuss relevant applications of some topics in typical first-and second-year algebra and precalculus courses. Real-world applications of percent change, exponential functions, and sums of finite geometric sequences can help students understand the problems…
Exploring Algebraic Misconceptions with Technology
ERIC Educational Resources Information Center
Sakow, Matthew; Karaman, Ruveyda
2015-01-01
Many students struggle with algebra, from simplifying expressions to solving systems of equations. Students also have misconceptions about the meaning of variables. In response to the question "Can x + y + z ever equal x + p + z?" during a student interview, the student claimed, "Never . . . because p has to have a different value…
Easing Students' Transition to Algebra
ERIC Educational Resources Information Center
Baroudi, Ziad
2006-01-01
Traditionally, students learn arithmetic throughout their primary schooling, and this is seen as the ideal preparation for the learning of algebra in the junior secondary school. The four operations are taught and rehearsed in the early years and from this, it is assumed, "children will induce the fundamental structure of arithmetic" (Warren &…
Algebra for All. Research Brief
ERIC Educational Resources Information Center
Bleyaert, Barbara
2009-01-01
The call for "algebra for all" is not a recent phenomenon. Concerns about the inadequacy of math (and science) preparation in America's high schools have been a steady drumbeat since the 1957 launch of Sputnik; a call for raising standards and the number of math (and science) courses required for graduation has been a part of countless…
Algebraic methods in system theory
NASA Technical Reports Server (NTRS)
Brockett, R. W.; Willems, J. C.; Willsky, A. S.
1975-01-01
Investigations on problems of the type which arise in the control of switched electrical networks are reported. The main results concern the algebraic structure and stochastic aspects of these systems. Future reports will contain more detailed applications of these results to engineering studies.
Inequalities, Assessment and Computer Algebra
ERIC Educational Resources Information Center
Sangwin, Christopher J.
2015-01-01
The goal of this paper is to examine single variable real inequalities that arise as tutorial problems and to examine the extent to which current computer algebra systems (CAS) can (1) automatically solve such problems and (2) determine whether students' own answers to such problems are correct. We review how inequalities arise in contemporary…
Adventures in Flipping College Algebra
ERIC Educational Resources Information Center
Van Sickle, Jenna
2015-01-01
This paper outlines the experience of a university professor who implemented flipped learning in two sections of college algebra courses for two semesters. It details how the courses were flipped, what technology was used, advantages, challenges, and results. It explains what students do outside of class, what they do inside class, and discusses…
Elementary Algebra Connections to Precalculus
ERIC Educational Resources Information Center
Lopez-Boada, Roberto; Daire, Sandra Arguelles
2013-01-01
This article examines the attitudes of some precalculus students to solve trigonometric and logarithmic equations and systems using the concepts of elementary algebra. With the goal of enticing the students to search for and use connections among mathematical topics, they are asked to solve equations or systems specifically designed to allow…
Celestial mechanics with geometric algebra
NASA Technical Reports Server (NTRS)
Hestenes, D.
1983-01-01
Geometric algebra is introduced as a general tool for Celestial Mechanics. A general method for handling finite rotations and rotational kinematics is presented. The constants of Kepler motion are derived and manipulated in a new way. A new spinor formulation of perturbation theory is developed.
Math Sense: Algebra and Geometry.
ERIC Educational Resources Information Center
Howett, Jerry
This book is designed to help students gain the range of math skills they need to succeed in life, work, and on standardized tests; overcome math anxiety; discover math as interesting and purposeful; and develop good number sense. Topics covered in this book include algebra and geometry. Lessons are organized around four strands: (1) skill lessons…
Weaving Geometry and Algebra Together
ERIC Educational Resources Information Center
Cetner, Michelle
2015-01-01
When thinking about student reasoning and sense making, teachers must consider the nature of tasks given to students along with how to plan to use the tasks in the classroom. Students should be presented with tasks in a way that encourages them to draw connections between algebraic and geometric concepts. This article focuses on the idea that it…
Algebraic Activities Aid Discovery Lessons
ERIC Educational Resources Information Center
Wallace-Gomez, Patricia
2013-01-01
After a unit on the rules for positive and negative numbers and the order of operations for evaluating algebraic expressions, many students believe that they understand these principles well enough, but they really do not. They clearly need more practice, but not more of the same kind of drill. Wallace-Gomez provides three graphing activities that…
Explicit field realizations of W algebras
NASA Astrophysics Data System (ADS)
Wei, Shao-Wen; Liu, Yu-Xiao; Zhang, Li-Jie; Ren, Ji-Rong
2009-06-01
The fact that certain nonlinear W2,s algebras can be linearized by the inclusion of a spin-1 current can provide a simple way to realize W2,s algebras from linear W1,2,s algebras. In this paper, we first construct the explicit field realizations of linear W1,2,s algebras with double scalar and double spinor, respectively. Then, after a change of basis, the realizations of W2,s algebras are presented. The results show that all these realizations are Romans-type realizations.
Array algebra estimation in signal processing
NASA Astrophysics Data System (ADS)
Rauhala, U. A.
A general theory of linear estimators called array algebra estimation is interpreted in some terms of multidimensional digital signal processing, mathematical statistics, and numerical analysis. The theory has emerged during the past decade from the new field of a unified vector, matrix and tensor algebra called array algebra. The broad concepts of array algebra and its estimation theory cover several modern computerized sciences and technologies converting their established notations and terminology into one common language. Some concepts of digital signal processing are adopted into this language after a review of the principles of array algebra estimation and its predecessors in mathematical surveying sciences.
On special classes of n-algebras
NASA Astrophysics Data System (ADS)
Vainerman, L.; Kerner, R.
1996-05-01
We define n-algebras as linear spaces on which the internal composition law involves n elements: m:V⊗n■V. It is known that such algebraic structures are interesting for their applications to problems of modern mathematical physics. Using the notion of a commutant of two subalgebras of an n-algebra, we distinguish certain classes of n-algebras with reasonable properties: semisimple, Abelian, nilpotent, solvable. We also consider a few examples of n-algebras of different types, and show their properties.
On the Structure of Graded Lie Superalgebras
NASA Astrophysics Data System (ADS)
Calderón Martín, Antonio J.; Sánchez Delgado, José M.
2012-08-01
We study the structure of graded Lie superalgebras with arbitrary dimension and over an arbitrary field 𝕂. We show that any of such algebras 𝔏 with a symmetric G-support is of the form 𝔏 = U + ∑jIj with U a subspace of 𝔏1 and any Ij a well-described graded ideal of 𝔏, satisfying [Ij, Ik] = 0 if j≠k. Under certain conditions, it is shown that 𝔏 = (⨁k∈K Ik) ⊕ (⨁q ∈Q Iq), where any Ik is a gr-simple graded ideal of 𝔏 and any Iq is a completely determined low-dimensional non-gr-simple graded ideal of 𝔏, satisfying [Iq, Iq'] = 0 for any q'∈Q with q ≠q'.
ERIC Educational Resources Information Center
Bachman, Jerald G.; O'Malley, Patrick M.; Johnston, Lloyd D.; Schulenberg, John E.
2010-01-01
The Monitoring the Future (MTF) project reports annually on levels and trends in self-reported substance use by secondary school students (e.g., Johnston, O'Malley, Bachman, & Schulenberg, 2009). The reports include subgroup comparisons, and these have revealed substantial differences among race/ethnicity groups, as well as some differences…
ERIC Educational Resources Information Center
Detweiler, Rita J.
2012-01-01
School leaders in the United States live in an educational era characterized by a desire for and expectation that all students attain high levels of academic proficiency. There is an increased reliance on all types of educational assessment as a key component to help school leaders attain that goal. The purpose of this study is to understand how…
ERIC Educational Resources Information Center
McBath, Gabrielle L.
2013-01-01
The following is an abridged version of the author's original Master's thesis written in 2008 for LeMoyne College in Syracuse, New York. This qualitative, structural, comparison determined if twelve Character Education studies of Brigham Young University, specifically the Positive Behavioral Support Initiative, assessed the same literacy program…
ERIC Educational Resources Information Center
Ewing Marion Kauffman Foundation, Kansas City, MO.
The Ewing Marion Kauffman Foundation began surveying Kansas City area teens during the 1984-85 school year. The Kauffman Teen Survey now addresses two sets of issues for teens. Teen Health Behaviors, addressed in this report, have been a focus of the survey since its inception. The report focuses on teen use of alcohol, tobacco, and other drugs in…
Recursion and feedback in image algebra
NASA Astrophysics Data System (ADS)
Ritter, Gerhard X.; Davidson, Jennifer L.
1991-04-01
Recursion and feedback are two important processes in image processing. Image algebra, a unified algebraic structure developed for use in image processing and image analysis, provides a common mathematical environment for expressing image processing transforms. It is only recently that image algebra has been extended to include recursive operations [1]. Recently image algebra was shown to incorporate neural nets [2], including a new type of neural net, the morphological neural net [3]. This paper presents the relationship of the recursive image algebra to the field of fractions of the ring of matrices, and gives the two dimensional moving average filter as an example. Also, the popular multilayer perceptron with back propagation and a morphology neural network with learning rule are presented in image algebra notation. These examples show that image algebra can express these important feedback concepts in a succinct way.
Deformed Kac Moody and Virasoro algebras
NASA Astrophysics Data System (ADS)
Balachandran, A. P.; Queiroz, A. R.; Marques, A. M.; Teotonio-Sobrinho, P.
2007-07-01
Whenever the group {\\bb R}^n acts on an algebra {\\cal A} , there is a method to twist \\cal A to a new algebra {\\cal A}_\\theta which depends on an antisymmetric matrix θ (θμν = -θνμ = constant). The Groenewold-Moyal plane {\\cal A}_\\theta({\\bb R}^{d+1}) is an example of such a twisted algebra. We give a general construction to realize this twist in terms of {\\cal A} itself and certain 'charge' operators Qμ. For {\\cal A}_\\theta({\\bb R}^{d+1}), Q_\\mu are translation generators. This construction is then applied to twist the oscillators realizing the Kac-Moody (KM) algebra as well as the KM currents. They give different deformations of the KM algebra. From one of the deformations of the KM algebra, we construct, via the Sugawara construction, the Virasoro algebra. These deformations have an implication for statistics as well.
NASA Astrophysics Data System (ADS)
Tanaka, Shuji
2009-09-01
This special issue of the Journal of Micromechanics and Microengineering features papers selected from The 8th International Workshop on Micro and Nanotechnology for Power Generation and Energy Conversion Applications (PowerMEMS 2008) with the 2nd Symposium on Micro Environmental Machine Systems (μMEMS 2008). The workshop was held in Sendai, Japan on 9-12 November 2008 by Tohoku University. This is the second time that the PowerMEMS workshop has been held in Sendai, following the first workshop in 2000. Power MEMS is one of the newest categories of MEMS, which encompasses microdevices and microsystems for power generation, energy conversion and propulsion. The first concept of Power MEMS was born in the late 1990's from a MEMS-based gas turbine project at Massachusetts Institute of Technology. After that, the research and development of Power MEMS have been promoted by the strong need for compact power sources with high energy and/or power density. Since its inception, Power MEMS has expanded to include not only various MEMS-based power generators but also small energy machines and microdevices for macro power generators. Previously, the main topics of the PowerMEMS workshop were miniaturized gas turbines and micro fuel cells, but recently, energy harvesting has been the hottest topic. In 2008, energy harvesting had a 41% share in the 118 accepted regular papers. This special issue includes 19 papers on various topics. Finally, I would like to express my sincere appreciation to the members of the International Steering Committee, the Technical Program Committee, the Local Organizing Committee and financial supporters. This special issue was edited in collaboration with the staff of IOP Publishing.
NASA CONNECT: Algebra: Mirror, Mirror on the Universe
NASA Technical Reports Server (NTRS)
2000-01-01
'Algebra: Mirror, Mirror on the Universe' is the last of seven programs in the 1999-2000 NASA CONNECT series. Produced by NASA Langley Research Center's Office of Education, NASA CONNECT is an award-winning series of instructional programs designed to enhance the teaching of math, science and technology concepts in grades 5-8. NASA CONNECT establishes the 'connection' between the mathematics, science, and technology concepts taught in the classroom and NASA research. Each program in the series supports the national mathematics, science, and technology standards; includes a resource-rich teacher guide; and uses a classroom experiment and web-based activity to complement and enhance the math, science, and technology concepts presented in the program. NASA CONNECT is FREE and the programs in the series are in the public domain. Visit our web site and register. http://connect.larc.nasa.gov In 'Algebra: Mirror, Mirror on the Universe', students will learn how algebra is used to explore the universe.
Algebraic complexities and algebraic curves over finite fields
Chudnovsky, D. V.; Chudnovsky, G. V.
1987-01-01
We consider the problem of minimal (multiplicative) complexity of polynomial multiplication and multiplication in finite extensions of fields. For infinite fields minimal complexities are known [Winograd, S. (1977) Math. Syst. Theory 10, 169-180]. We prove lower and upper bounds on minimal complexities over finite fields, both linear in the number of inputs, using the relationship with linear coding theory and algebraic curves over finite fields. PMID:16593816
ERIC Educational Resources Information Center
Wainer, Jacques; Dwyer, Tom; Dutra, Rodrigo Silveira; Covic, Andre; Magalhaes, Valdo B.; Ferreira, Luiz Renato Ribeiro; Pimenta, Valdiney Alves; Claudio, Kleucio
2008-01-01
This work presents the analysis of the 2001 Brazilian Basic Education Evaluation System (SAEB) achievement exam. The SAEB tested 4th, 8th, and 11th grade students, in mathematics and reading (Portuguese). We classified the students into seven socioeconomic classes, and for each class, compared the test results according to frequency of computer…
ERIC Educational Resources Information Center
Geist, John E.
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
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
Cook, Paul
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
Geist, John E.
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…
Secondary Schools Curriculum Guide, Mathematics, Grades 7-9. Revised.
ERIC Educational Resources Information Center
Cranston School Dept., RI.
Behavioral objectives are specified for 82 topics in mathematics to be covered in grades 7 through 9. A general objective is given for each, followed by specific behavioral objectives with suggested activities. Topics include number properties and operations, geometry, number theory, algebra, set theory, ratio, proportion and percent, the metric…
Universal effective hadron dynamics from superconformal algebra
Brodsky, Stanley J.; de Teramond, Guy F.; Dosch, Hans Gunter; ...
2016-05-25
An effective supersymmetric QCD light-front Hamiltonian for hadrons composed of light quarks, which includes a spin–spin interaction between the hadronic constituents, is constructed by embedding superconformal quantum mechanics into AdS space. A specific breaking of conformal symmetry inside the graded algebra determines a unique effective quark-confining potential for light hadrons, as well as remarkable connections between the meson and baryon spectra. The results are consistent with the empirical features of the light-quark hadron spectra, including a universal mass scale for the slopes of the meson and baryon Regge trajectories and a zero-mass pion in the limit of massless quarks. Ourmore » analysis is consistently applied to the excitation spectra of the π , ρ , K , K* and Φ meson families as well as to the N , Δ, Λ, Σ, Σ* , Ξ and Ξ* in the baryon sector. Here, we also predict the existence of tetraquarks which are degenerate in mass with baryons with the same angular momentum. The mass of light hadrons is expressed in a universal and frame-independent decomposition in the semiclassical approximation described here.« less
Universal effective hadron dynamics from superconformal algebra
Brodsky, Stanley J.; de Teramond, Guy F.; Dosch, Hans Gunter; Lorce, Cedric
2016-05-25
An effective supersymmetric QCD light-front Hamiltonian for hadrons composed of light quarks, which includes a spin–spin interaction between the hadronic constituents, is constructed by embedding superconformal quantum mechanics into AdS space. A specific breaking of conformal symmetry inside the graded algebra determines a unique effective quark-confining potential for light hadrons, as well as remarkable connections between the meson and baryon spectra. The results are consistent with the empirical features of the light-quark hadron spectra, including a universal mass scale for the slopes of the meson and baryon Regge trajectories and a zero-mass pion in the limit of massless quarks. Our analysis is consistently applied to the excitation spectra of the π , ρ , K , K* and Φ meson families as well as to the N , Δ, Λ, Σ, Σ* , Ξ and Ξ* in the baryon sector. Here, we also predict the existence of tetraquarks which are degenerate in mass with baryons with the same angular momentum. The mass of light hadrons is expressed in a universal and frame-independent decomposition in the semiclassical approximation described here.
Universal effective hadron dynamics from superconformal algebra
NASA Astrophysics Data System (ADS)
Brodsky, Stanley J.; de Téramond, Guy F.; Dosch, Hans Günter; Lorcé, Cédric
2016-08-01
An effective supersymmetric QCD light-front Hamiltonian for hadrons composed of light quarks, which includes a spin-spin interaction between the hadronic constituents, is constructed by embedding superconformal quantum mechanics into AdS space. A specific breaking of conformal symmetry inside the graded algebra determines a unique effective quark-confining potential for light hadrons, as well as remarkable connections between the meson and baryon spectra. The results are consistent with the empirical features of the light-quark hadron spectra, including a universal mass scale for the slopes of the meson and baryon Regge trajectories and a zero-mass pion in the limit of massless quarks. Our analysis is consistently applied to the excitation spectra of the π, ρ, K, K* and ϕ meson families as well as to the N, Δ, Λ, Σ, Σ*, Ξ and Ξ* in the baryon sector. We also predict the existence of tetraquarks which are degenerate in mass with baryons with the same angular momentum. The mass of light hadrons is expressed in a universal and frame-independent decomposition in the semiclassical approximation described here.
Alternative algebraic approaches in quantum chemistry
Mezey, Paul G.
2015-01-22
Various algebraic approaches of quantum chemistry all follow a common principle: the fundamental properties and interrelations providing the most essential features of a quantum chemical representation of a molecule or a chemical process, such as a reaction, can always be described by algebraic methods. Whereas such algebraic methods often provide precise, even numerical answers, nevertheless their main role is to give a framework that can be elaborated and converted into computational methods by involving alternative mathematical techniques, subject to the constraints and directions provided by algebra. In general, algebra describes sets of interrelations, often phrased in terms of algebraic operations, without much concern with the actual entities exhibiting these interrelations. However, in many instances, the very realizations of two, seemingly unrelated algebraic structures by actual quantum chemical entities or properties play additional roles, and unexpected connections between different algebraic structures are often giving new insight. Here we shall be concerned with two alternative algebraic structures: the fundamental group of reaction mechanisms, based on the energy-dependent topology of potential energy surfaces, and the interrelations among point symmetry groups for various distorted nuclear arrangements of molecules. These two, distinct algebraic structures provide interesting interrelations, which can be exploited in actual studies of molecular conformational and reaction processes. Two relevant theorems will be discussed.