Siregar, Nurfadilah; Kusumah, Yaya S.; Sabandar, J.; Dahlan, J. A.
The aims of this paper are to describe the use of MCREST strategy in learning algebra and to obtain empirical evidence on the effect of MCREST strategy es specially on reasoning ability. Students in eight grade in one of schools at Cimahi City are chosen as the sample of this study. Using pre-test and post-test control group design, the data then analyzed in descriptive and inferential statistics. The results of this study show the students who got MCREST strategy in their class have better result in test of reasoning ability than students who got direct learning. It means that MCREST strategy gives good impact in learning algebra.
Pedersen, Ida Friestad
Algebra is the fundamental language of mathematics, and a profound understanding of school algebra is an important prerequisite for further studies in mathematical sciences. The aim of this study is to characterize the algebraic competence of the Norwegian upper secondary school students participating in Trends in International Mathematics and…
Martinez, Mara V.; Bragelman, John; Stoelinga, Timothy
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…
The goal of this study was to determine the mathematics achievement level in basic numeracy and algebra concepts of students in a two-year program in a technical vocational school of higher education and determine the errors that they make in these topics. The researcher developed a diagnostic mathematics achievement test related to numeracy and…
Lowery, Lillian Margretta
Instructional Strategies and Practices Used to Enhance Student Success in the High School Algebra I Inclusive Classroom Lillian M. Lowery Dr. Jean B. Crockett, Chair (ABSTRACT) The purpose of this qualitative study was to examine the instructional conditions and practices described as successful for teachers in the Algebra I inclusive classroom. In the southeastern suburban school district used for this study, students who began their freshman year of high school in fiscal y...
Nurhayati, D. M.; Herman, T.; Suhendra, S.
This study aims to determine the difficulties of algebraic thinking ability of students in one of secondary school on quadrilateral subject and to describe Math-Talk Learning Community as the alternative way that can be done to overcome the difficulties of the students’ algebraic thinking ability. Research conducted by using quantitative approach with descriptive method. The population in this research was all students of that school and twenty three students as the sample that was chosen by purposive sampling technique. Data of algebraic thinking were collected through essay test. The results showed the percentage of achievement of students’ algebraic thinking’s indicators on three aspects: a) algebra as generalized arithmetic with the indicators (conceptually based computational strategies and estimation); b) algebra as the language of mathematics (meaning of variables, variable expressions and meaning of solution); c) algebra as a tool for functions and mathematical modelling (representing mathematical ideas using equations, tables, or words and generalizing patterns and rules in real-world contexts) is still low. It is predicted that because the secondary school students was not familiar with the abstract problem and they are still at a semi-concrete stage where the stage of cognitive development is between concrete and abstract. Based on the percentage achievement of each indicators, it can be concluded that the level of achievement of student’s mathematical communication using conventional learning is still low, so students’ algebraic thinking ability need to be improved.
Christy, Donna; Sparks, Rebecca
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…
van den Heuvel-Panhuizen, Marja; Kolovou, Angeliki; Robitzsch, Alexander
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…
Stoker, Ginger; Mellor, Lynn; Sullivan, Kate
This study examines Algebra II completion and failure rates for students entering Texas public high schools from 2007/08 through 2014/15. This period spans the time when Texas students, beginning with the 2007/08 grade 9 cohort, were required to take four courses each in English, math (including Algebra II), science, and social studies (called the…
Chiado, Wendy S.
Too many of our nation's youth have failed to complete high school. Determining why so many of our nation's students fail to graduate is a complex, multi-faceted problem and beyond the scope of any one study. The study presented herein utilized a thirteen-step mixed methods model developed by Leech and Onwuegbuzie (2007) to demonstrate within a…
Andini, W.; Suryadi, D.
The aim of this research is to analize the student obstacles on solving algebraic thinking problems in low grades elementary school. This research is a preliminary qualitative research, and involved 66 students of grade 3 elementary school. From the analysis student test results, most of student experience difficulty in solving algebraic thinking problems. The main obstacle is the student’s difficulty in understanding the problem of generalizing the pattern because the students are not accustomed to see the rules that exist in generalize the pattern.
Sarıoğlu, Celal; Soulé, Christophe; Zeytin, Ayberk
This lecture notes volume presents significant contributions from the “Algebraic Geometry and Number Theory” Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014. It addresses subjects ranging from Arakelov geometry and Iwasawa theory to classical projective geometry, birational geometry and equivariant cohomology. Its main aim is to introduce these contemporary research topics to graduate students who plan to specialize in the area of algebraic geometry and/or number theory. All contributions combine main concepts and techniques with motivating examples and illustrative problems for the covered subjects. Naturally, the book will also be of interest to researchers working in algebraic geometry, number theory and related fields.
Store, Jessie Chitsanzo
There is ample literature documenting that, for many decades, high school students view algebra as difficult and do not demonstrate understanding of algebraic concepts. Algebraic reasoning in elementary school aims at meaningfully introducing algebra to elementary school students in preparation for higher-level mathematics. While there is research…
Silvia Teresinha Frizzarini
Full Text Available There are few researches with deeper reflections on the study of algebra with deaf students. In order to validate and disseminate educational activities in that context, this article aims at highlighting the deaf students’ prior knowledge, fluent in Brazilian Sign Language, referring to the algebraic language used in high school. The theoretical framework used was Duval’s theory, with analysis of the changes, by treatment and conversion, of different registers of semiotic representation, in particular inequalities. The methodology used was the application of a diagnostic evaluation performed with deaf students, all fluent in Brazilian Sign Language, in a special school located in the north of Paraná State. We emphasize the need to work in both directions of conversion, in different languages, especially when the starting record is the graphic. Therefore, the conclusion reached was that one should not separate the algebraic representation from other records, due to the need of sign language perform not only the communication function, but also the functions of objectification and treatment, fundamental in cognitive development.
Wasserman, Nicholas H.
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…
Okpube, Nnaemeka Michael; Anugwo, M. N.
This study investigated the Card Games and Algebra tic-Tacmatics on Junior Secondary II Students' Achievement in Algebraic Expressions. Three research questions and three null hypotheses guided the study. The study adopted the pre-test, post-test control group design. A total of two hundred and forty (240) Junior Secondary School II students were…
Saleh, Salmiza; Rahman, Muhamad Asyrah Abdul
Algebra is a branch of mathematics that deals with symbols and also the rules for manipulating those symbols, which are used to represent numbers and quantities in mathematical formulae and equations. It is needed and used in our everyday lives. The purpose of this study was to examine students' performance in algebra related to gender and types…
Nomi, Takako; Raudenbush, Stephen W.
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…
Allen, Frank B.; And Others
Unit 23 in the SMSG secondary school mathematics series is a student text covering the following topics in matrix algebra: matrix operations, the algebra of 2 X 2 matrices, matrices and linear systems, representation of column matrices as geometric vectors, and transformations of the plane. Listed in the appendix are four research exercises in…
Witzel, Bradley S.
The importance of algebra instruction has increased in the United States in the past few years. Thus, in most states, middle school students are required to take Algebra 1. Middle school students with math difficulties in inclusion algebra settings may require a different instructional approach. The purpose of this research was to compare student…
Dougherty, Shaun M.; Goodman, Joshua S.; Hill, Darryl V.; Litke, Erica G.; Page, Lindsay C.
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…
Rodrigues Rézio, Ana Sofia
Students’ algebraic reasoning, at the beginning of their schooling years, includes the development and promotion of functional thinking and the understanding of mathematical properties, which can be stimulated by solving problems. In the latest Portuguese Program for Mathematics Elementary Education, we do not see the topic Algebra in the first year of school although some other topics include objectives of algebraic nature. This fact showed the importance of research about the introduction o...
Sandra Mara Marasini
Full Text Available This study aims to verify how students in elementary school see themselves in relation to mathematics and, at the same time, analyze the procedures used to solve algebraic tasks. These students in the 8th year of elementary school, and first and third years of high school, from two State schools in Passo Fundo/RS, answered a questionnaire about their own perceptions of the mathematics lessons, the subject mathematics and algebraic content. The analysis was based mainly on authors from the athematical education and the historic-cultural psychology areas. It was verifi ed that even among students who claimed to be happy with the idea of having mathematicsclasses several presented learning diffi culties regarding algebraic contents, revealed by the procedures employed. It was concluded that it is necessary to design proposals with didactic sequences, mathematically and pedagogically based, which can effi cientlyoptimize the appropriation of meaning from the concepts approached and their application in different situations.
Gorodentsev, Alexey L
This book is the second volume of an intensive “Russian-style” two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures – fields, rings, modules, algebras, groups, and categories – and explains the main principles of and methods for working with them. The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry – topics that are often overlooked in standard undergraduate courses. This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for independent study.
Gorodentsev, Alexey L
This book is the first volume of an intensive “Russian-style” two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures – fields, rings, modules, algebras, groups, and categories – and explains the main principles of and methods for working with them. The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry – topics that are often overlooked in standard undergraduate courses. This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for independent study.
Morales-Chicas, Jessica; Agger, Charlotte
In this article, the authors use the national High School Longitudinal Study of 2009 (HSLS:09) dataset to explore (a) if repeating algebra in the eighth grade was associated with overall mathematics grades and course-taking patterns by twelfth grade, (b) if repeating algebra in the eighth grade was associated with students' final grade in algebra,…
Heck, A.; Boon, P.; van Velthoven, W.
We describe the development and use of Mathematica empowered applets for learning and practising algebra and calculus at secondary school level. We discuss how Mathematica can be used as back engine to evaluate students' answers and provide appropriate feedback. These applets provide scoring
Hoch, Maureen; Dreyfus, Tommy
This paper presents an initial attempt to define structure sense for high school algebra and to test part of this definition. A questionnaire was distributed to 92 eleventh grade students in order to identify those who use structure sense. Presence and absence of brackets was examined to see how they affect use of structure sense. The overall use…
Welder, Rachael M.
Through historical and contemporary research, educators have identified widespread misconceptions and difficulties faced by students in learning algebra. Many of these universal issues stem from content addressed long before students take their first algebra course. Yet elementary and middle school teachers may not understand how the subtleties of…
Matematica Para La Escuela Secundaria, Primer Curso de Algebra (Parte 1). Traduccion Preliminar de la Edicion Inglesa Revisada. (Mathematics for High School, First Course in Algebra, Part 1. Preliminary Translation of the Revised English Edition).
Allen, Frank B.; And Others
This is the student text for part one of a three-part SMSG algebra course for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include congruence; numbers and variables; operations;…
Herbel-Eisenmann, Beth A.; Phillips, Elizabeth Difanis
This article describes a set of learning activities that use algebraic problems and written student work to help preservice and in-service teachers understand students' algebraic thinking. (Contains 4 figures.)
This longitudinal study evaluates the impact of a new Algebra 1 course at a High School for language-based learning-disabled (LD) students. The new course prioritized the teaching of relationship graphs and functions as an introduction to algebra. Across three studies, the dissertation documents and evaluates the progress made by LD high school…
Matematica Para La Escuela Secundaria, Primer Curso de Algebra (Parte 2). Traduccion Preliminar de la Edicion Inglesa Revisada. (Mathematics for High School, First Course in Algebra, Part 2. Preliminary Translation of the Revised English Edition).
Allen, Frank B.; And Others
This is part two of a three-part SMSG algebra text for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include addition and multiplication of real numbers, subtraction and division…
Matematica Para La Escuela Secundaria, Primer Curso de Algebra (Parte 1), Comentario. Traduccion Preliminar de la Edicion en Ingles Revisada. (Mathematics for High School, First Course in Algebra, Part 1, Teacher's Commentary. Translation of the Revised English Edition).
Allen, Frank B.; And Others
This is the teacher's commentary for part one of a three-part SMSG algebra text for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include congruence; numbers and variables;…
Matematica Para La Escuela Secundaria, Primer Curso de Algebra (Parte 2), Comentario. Traduccion Preliminar de la Edicion en Ingles Revisada. (Mathematics for High School, First Course in Algebra, Part 2, Teacher's Commentary. Preliminary Translation of the Revised English Edition).
Allen, Frank B.; And Others
This is the teacher's commentary for part two of a three-part SMSG algebra text for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include addition and multiplication of real…
Sepanski, Mark R
Mark Sepanski's Algebra is a readable introduction to the delightful world of modern algebra. Beginning with concrete examples from the study of integers and modular arithmetic, the text steadily familiarizes the reader with greater levels of abstraction as it moves through the study of groups, rings, and fields. The book is equipped with over 750 exercises suitable for many levels of student ability. There are standard problems, as well as challenging exercises, that introduce students to topics not normally covered in a first course. Difficult problems are broken into manageable subproblems
The purpose of this study is to examine the nature of what students notice about symbols and use as they solve unfamiliar algebra problems based on familiar algebra concepts and involving symbolic inscriptions. The researcher conducted a study of students at three levels of algebra exposure: (a) students enrolled in a high school pre-calculus…
Veteto, Bette R.
This project focuses on the construction and use of a student-made elementary algebra tutorial World Wide Web page at the University of Memphis (Tennessee), how this helps students further explore the topics studied in elementary algebra, and how students can publish their work on the class Web page for use by other students. Practical,…
Britton, Sandra; Henderson, Jenny
This article looks at some of the conceptual difficulties that students have in a linear algebra course. An overview of previous research in this area is given, and the various theories that have been espoused regarding the reasons that students find linear algebra so difficult are discussed. Student responses to two questions testing the ability…
Jaster, Robert W.
Each year about half a million students fail to make planned academic progress due to college algebra, hence the need for researchers to find ways of improving the quality of instruction in the course. Recent research suggests that flipping college algebra to allow time for active learning in the classroom may improve student performance. Also,…
Rowntree, Rebecca V.
The National Council of Teachers of Mathematics [NCTM] requires students in grades nine through 12 to be able to explain inequalities using mathematical relational symbols and be able to understand the meaning of inequalities and their solutions (NCTM, 2000). Studies have shown that not only middle and high school students have difficulties with…
Heppen, Jessica; Allensworth, Elaine; Walters, Kirk; Pareja, Amber Stitziel; Kurki, Anja; Nomi, Takako; Sorensen, Nicholas
Credit recovery is one strategy to deal with high failure rates. The primary goal of credit recovery programs is to give students an opportunity to retake classes that they failed in an effort to get them back on track and keep them in school (Watson & Gemin, 2008). Most recently, as schools across the nation struggle to keep students on track…
Wilkie, Karina J,; Clarke, Doug
This design-based research project investigated the development of functional thinking in algebra for the upper primary years of schooling. Ten teachers and their students were involved in a sequence of five cycles of collaborative planning, team-teaching, evaluating and revising five lessons on functional thinking for their students over one…
Alkhateeb, Haitham M; Jumaa, Mustafa
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.
Powell, Sarah R; Fuchs, Lynn S
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.
Ichinose, Cherie; Clinkenbeard, Jennifer
This study compared student engagement and achievement levels between students enrolled in a traditional college algebra lecture course and students enrolled in a "flipped" course. Results showed that students in the flipped class had consistently higher levels of achievement throughout the course than did students in the traditional…
Simzar, Rahila M.; Domina, Thurston; Tran, Cathy
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
Simzar, Rahila M; Domina, Thurston; Tran, Cathy
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.
Herbel-Eisenmann, Beth A.; Keazer, Lindsay; Traynor, Anne
Background/Context: In this article we explore equity issues related to school district decision-making about students' opportunities to learn algebra. We chose algebra because of the important role it plays in the U.S. as a gatekeeper to future academic success. Current research has not yet explored issues of equity in district-level…
Powell, Sarah R.; Fuchs, Lynn S.
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…
Robelen, Erik W.
Should all students take Algebra 2? Florida seemed to say "no" this spring with the passage of a law striking it from graduation requirements. Texas said much the same in legislation Republican Gov. Rick Perry signed this week that also backs away from Algebra 2 for all. Those steps come as the Common Core State Standards for math set…
Lawrence, Lettie Carol
The purpose of this investigation was to determine if an integrated curriculum in algebra 1/physical science facilitates acquisition of proportional reasoning and graphing abilities better than a non-integrated, traditional, algebra 1 curriculum. Also, this study was to ascertain if the integrated algebra 1/physical science curriculum resulted in greater student achievement in algebra 1. The curriculum used in the experimental class was SAM 9 (Science and Mathematics 9), an investigation-based curriculum that was written to integrate physical science and basic algebra content. The experiment was conducted over one school year. The subjects in the study were 61 ninth grade students. The experimental group consisted of one class taught concurrently by a mathematics teacher and a physical science teacher. The control group consisted of three classes of algebra 1 students taught by one mathematics teacher and taking physical science with other teachers in the school who were not participating in the SAM 9 program. This study utilized a quasi-experimental non-randomized control group pretest-posttest design. The investigator obtained end-of-algebra 1 scores from student records. The written open-ended graphing instruments and the proportional reasoning instrument were administered to both groups as pretests and posttests. The graphing instruments were also administered as a midtest. A two sample t-test for independent means was used to determine significant differences in achievement on the end-of-course algebra 1 test. Quantitative data from the proportional reasoning and graphing instruments were analyzed using a repeated measures analysis of variance to determine differences in scores over time for the experimental and control groups. The findings indicate no significant difference between the experimental and control groups on the end-of-course algebra 1 test. Results also indicate no significant differences in proportional reasoning and graphing abilities between
Neurath, Rachel A.; Stephens, Larry J.
The purpose of this study was to investigate the effect of integrating Microsoft Excel into a high school algebra class. The results indicate a slight increase in student achievement when Excel was used. A teacher-created final exam and two Criterion Referenced Tests measured success. One of the Criterion Referenced Tests indicated that the…
Lopes, Manuel J.
At a time of persistent unemployment, especially among the less skilled, many wonder whether our schools are adequately preparing students for the 21st-century global economy. Despite above average employment rates, firms are experiencing shortages of educated workers, outsourcing professional-level work to workers abroad, and competing for the…
Schackow, Joy Bronston; Cugini, Stephanie
The transition to Common Core State Standards for Mathematics has created a need for high-quality professional learning on content and pedagogy. This is especially true for algebra 1 teachers in Florida, where students must pass a standards-based exam as a requirement to earning a high school diploma. Time, distance, and cost constraints can get…
DuPree, Jared Bernard
This study applies the constructs from effective instruction from the literature on teacher education to understand the impact of school district strategies on algebra outcomes for minority students. The purpose of this study was to examine the strategies utilized by superintendents and district personnel and the impact of these identified…
Levy, Alissa Beth
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,…
Teresa K. Dunleavy
Full Text Available This article continues to challenge the robust myth that mathematical smartness is exemplified in individuals who consistently complete mathematics problems quickly and accurately. In so doing, I present a set of counterstories from three students in one ninth-grade Algebra 1 classroom. These students described transformative experiences in their perceptions of mathematical smartness. Analysis of interviews revealed four themes about their perceptions of mathematical smartness, including: (1 consistently and unapologetically affording time and space to value multiple solution strategies, (2 belief in mathematical justification and explanation as the goal for demonstrating mastery of mathematical content, (3 valuing mathematically valid ideas from all class members, and (4 valuing collaborative problem solving as a way to help group members, distribute mathematical knowledge and orient students toward learning with one another. I found that their interpretations of mathematical smartness are counter to the still-dominant myths around speed and accuracy. While the four themes that emerged have been previously studied in the frame of teacher practices, this research provides needed additional empirical evidence of students’ voices describing what mathematical smartness can and should look like.
Martínez-Sierra, Gustavo; García-González, María del Socorro
Little is known about students' emotions in the field of Mathematics Education that go beyond students' emotions in problem solving. To start filling this gap this qualitative research has the aim to identify emotional experiences of undergraduate mathematics students in Linear Algebra courses. In order to obtain data, retrospective focus group…
Looking closely at algebra, its historical development, and its many useful applications, Algebra examines in detail the question of why this type of math is so important that it arose in different cultures at different times. The book also discusses the relationship between algebra and geometry, shows the progress of thought throughout the centuries, and offers biographical data on the key figures. Concise and comprehensive text accompanied by many illustrations presents the ideas and historical development of algebra, showcasing the relevance and evolution of this branch of mathematics.
Adu-Gyamfi, Kwaku; Bossé, Michael J.; Chandler, Kayla
While it is well recognized that students are prone to difficulties when performing linguistic-to-algebra translations, the nature of students' difficulties remain an issue of contention. Moreover, the literature indicates that these difficulties are not easily remediated by domain-specific instruction. Some have opined that this is the case…
Ash, Robert B
Geared toward upper-level undergraduates and graduate students, this text surveys fundamental algebraic structures and maps between these structures. Its techniques are used in many areas of mathematics, with applications to physics, engineering, and computer science as well. Author Robert B. Ash, a Professor of Mathematics at the University of Illinois, focuses on intuitive thinking. He also conveys the intrinsic beauty of abstract algebra while keeping the proofs as brief and clear as possible.The early chapters provide students with background by investigating the basic properties of groups
Algebra presents the essentials of algebra with some applications. The emphasis is on practical skills, problem solving, and computational techniques. Topics covered range from equations and inequalities to functions and graphs, polynomial and rational functions, and exponentials and logarithms. Trigonometric functions and complex numbers are also considered, together with exponentials and logarithms.Comprised of eight chapters, this book begins with a discussion on the fundamentals of algebra, each topic explained, illustrated, and accompanied by an ample set of exercises. The proper use of a
Zbiek, Rose Mary; Larson, Matthew R.
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"…
What Works Clearinghouse, 2007
"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…
This chapter focuses on the linking of geometry and algebra in the teaching and learning of mathematics - and how, through such linking, the mathematics curriculum might be strengthened. Through reviewing the case of the school mathematics curriculum in England, together with examples of how the power of geometry can bring contemporary mathematics to life in the classroom, the chapter argues for greater concinnity in the mathematics curriculum, especially in terms of the harmonious/purposeful...
An introduction to algebraic geometry and a bridge between its analytical-topological and algebraical aspects, this text for advanced undergraduate students is particularly relevant to those more familiar with analysis than algebra. 1953 edition.
DeJarnette, Anna F.; González, Gloriana
Current research and professional organizations call for greater emphasis on reasoning and sense making in algebra (Chazan, 2000; Cuoco, Goldenberg, & Mark, 1996; Harel & Sowder, 2005; National Council of Teachers of Mathematics [NCTM], 2009, 2010). This paper illustrates how students in an Algebra II class had opportunities to develop…
The purpose of this grounded theory study was to discover the factors that contribute to the success or failure of college algebra for students taking college algebra by distance education Internet, and then generate a theory of success or failure of the group of College Algebra Internet students at one Utah college. Qualitative data were collected and analyzed on students’ perceptions and perspectives of a College Algebra Internet course that they took during the spring or summer 2006 semest...
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.
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…
Gavin, M. Katherine; Sheffield, Linda Jensen
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…
Knuth, Eric; Stephens, Ana; Blanton, Maria; Gardiner, Angela
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…
Linear algebra is one of the most challenging topics to learn and teach in many countries. To facilitate the teaching and learning of linear algebra, priority should be given to epistemologically analyze the concepts that the undergraduate students have difficulty in conceptualizing and to define their ways of reasoning in linear algebra. After…
...; Comment Request; Promoting Student Success in Algebra I Project AGENCY: Office of Elementary and Secondary... Success in Algebra I Project. OMB Control Number: 1810-NEW. Type of Review: A new information collection... Algebra I (PSSA) study aims to provide policy-makers and practitioners with a deeper understanding of how...
Hardiani, N.; Budayasa, I. K.; Juniati, D.
The aim of this study was to describe algebraic thinking of high school female student’s field independent cognitive style in solving linier program problem by revealing deeply the female students’ responses. Subjects in this study were 7 female students having field independent cognitive style in class 11. The type of this research was descriptive qualitative. The method of data collection used was observation, documentation, and interview. Data analysis technique was by reduction, presentation, and conclusion. The results of this study showed that the female students with field independent cognitive style in solving the linier program problem had the ability to represent algebraic ideas from the narrative question that had been read by manipulating symbols and variables presented in tabular form, creating and building mathematical models in two variables linear inequality system which represented algebraic ideas, and interpreting the solutions as variables obtained from the point of intersection in the solution area to obtain maximum benefit.
Johnson, Evelyn S.; Galow, Patricia A.; Allenger, Robert
This article reports the results of a study examining the utility of curriculum-based measurement (CBM) in algebra for predicting performance on a state math assessment and informing instructional placement decisions for students in seventh, eighth, and tenth grades. Students completed six Basic Skills algebra probes across different time…
Jing, Ting Jing; Tarmizi, Rohani Ahmad; Bakar, Kamariah Abu; Aralas, Dalia
This study investigates the effect of utilizing Variation Theory Based Strategy on students' algebraic achievement and motivation in learning algebra. The study used quasi-experimental non-equivalent control group research design and involved 56 Form Two (Secondary Two) students in two classes (28 in experimental group, 28 in control group) in Malaysia The first class of students went through algebra class taught with Variation Theory Based Strategy (VTBS) while the second class of students experienced conventional teaching strategy. The instruments used for the study were a 24-item Algebra Test and 36-item Instructional Materials Motivation Survey. Result from analysis of Covariance indicated that experimental group students achieved significantly better test scores than control group. Result of Multivariate Analysis of Variance also shows evidences of significant effect of VTBS on experimental students' overall motivation in all the five subscales; attention, relevance, confidence, and satisfaction. These results suggested the utilization of VTBS would improve students' learning in algebra.
Tidd, Simon T.; Stoelinga, Timothy M.; Bush-Richards, Angela M.; De Sena, Donna L.; Dwyer, Theodore J.
Double-block instruction has become a popular strategy for supporting struggling mathematics students in algebra I. Despite its widespread adoption, little consistent evidence supports the attributes of a successful double-block design or the effectiveness of this instructional strategy. In this study, the authors examine a pilot implementation of…
Booth, Julie L.; Lange, Karin E.; Koedinger, Kenneth R.; Newton, Kristie J.
In a series of two "in vivo" experiments, we examine whether correct and incorrect examples with prompts for self-explanation can be effective for improving students' conceptual understanding and procedural skill in Algebra when combined with guided practice. In Experiment 1, students working with the Algebra I Cognitive Tutor were randomly…
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…
Pond, Jarrad W. T.; Chini, Jacquelyn J.
In this study, we explore the strategic self-regulatory and motivational characteristics of students in studio-mode physics courses at three universities with varying student populations and varying levels of success in their studio-mode courses. We survey students using questions compiled from several existing questionnaires designed to measure students' study strategies, attitudes toward and motivations for learning physics, organization of scientific knowledge, experiences outside the classroom, and demographics. Using a person-centered approach, we utilize cluster analysis methods to group students into learning profiles based on their individual responses to better understand the strategies and motives of algebra-based studio physics students. Previous studies have identified five distinct learning profiles across several student populations using similar methods. We present results from first-semester and second-semester studio-mode introductory physics courses across three universities. We identify these five distinct learning profiles found in previous studies to be present within our population of introductory physics students. In addition, we investigate interactions between these learning profiles and student demographics. We find significant interactions between a student's learning profile and their experience with high school physics, major, gender, grade expectation, and institution. Ultimately, we aim to use this method of analysis to take the characteristics of students into account in the investigation of successful strategies for using studio methods of physics instruction within and across institutions.
What Works Clearinghouse, 2009
University of Chicago School Mathematics Project (UCSMP) Algebra is a one-year course covering three primary topics: (1) linear and quadratic expressions, sentences, and functions; (2) exponential expressions and functions; and (3) linear systems. Topics from geometry, probability, and statistics are integrated with the appropriate algebra.…
Sutherland, David C.
Discusses common error-detecting identification codes using linear algebra terminology to provide an interesting application of algebra. Presents examples from the International Standard Book Number, the Universal Product Code, bank identification numbers, and the ZIP code bar code. (YP)
van den Heuvel-Panhuizen, M.H.A.M; Kolovou, A.; Robitzsch, A.
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
As a core topic in secondary school mathematics, algebra is 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 2007 (TIMSS), Indonesian
Nyman, Melvin A.; Lapp, Douglas A.; St. John, Dennis; Berry, John S.
This paper discusses student difficulties in grasping concepts from Linear Algebra--in particular, the connection of eigenvalues and eigenvectors to other important topics in linear algebra. Based on our prior observations from student interviews, we propose technology-enhanced instructional approaches that might positively impact student…
Chio, José Angel; Álvarez, Aida; Estrada, Pablo
The paper is aimed at discussing the importance of pupil’s knowledge of algebraic problem structure. The research started by diagnosing pupil’s actual command of algebraic problem structure. Finally suggestions to teachers of mathematics for facing difficulties in solving problems are given.
Chio, José Angel
Full Text Available The paper is aimed at discussing the importance of pupil’s knowledge of algebraic problem structure. The research started by diagnosing pupil’s actual command of algebraic problem structure. Finally suggestions to teachers of mathematics for facing difficulties in solving problems are given.
Kenfield, Danielle M.
Historically, algebra has served as a gatekeeper that divides students into academic programs with varying opportunities to learn and controls access to higher education and career opportunities. Successful completion of Algebra 1 demonstrates mathematical proficiency and allows access to a sequential and progressive path of advanced study that…
Saraswati, Sari; Putri, Ratu Ilma Indra; Somakim
This research aimed to describe how algebra tiles can support students' understanding of linear equations with one variable. This article is a part of a larger research on learning design of linear equations with one variable using algebra tiles combined with balancing method. Therefore, it will merely discuss one activity focused on how students…
Schonberger, Ann K.
A study was conducted to contrast the characteristics of three groups of college students who completed a developmental algebra course at the University of Maine at Orono during 1980-81. On the basis of a two-part final examination, involving a multiple-choice test of algebraic concepts and skills and a free-response test of problem-solving…
Jupri, Al; Drijvers, Paul; van den Heuvel - Panhuizen, Marja
This paper describes a classroom experiment on the use of digital technology in initial algebra. Indonesian grade seven students of 12-13 year-old took part in a four session teaching sequence on beginning algebra enriched with digital technology, and in particular applets embedded in the Digital
Many introductions to algebra in high school begin with teaching students to generalise linear numerical patterns. This article argues that this approach needs to be changed so that students encounter variables in the context of modelling visual patterns so that the variables have a meaning. The article presents sample classroom activities,…
Actuarial Foundation, 2013
"Solving the Unknown with Algebra" is a new math program aligned with the National Council of Teachers of Mathematics (NCTM) standards and designed to help students practice pre-algebra skills including using formulas, solving for unknowns, and manipulating equations. Developed by The Actuarial Foundation with Scholastic, this program provides…
Root, Jenny Rose
The current study evaluated the effects of modified schema-based instruction (SBI) on the algebra problem solving skills of three middle school students with autism spectrum disorder and moderate intellectual disability (ASD/ID). Participants learned to solve two types of group word problems: missing-whole and missing-part. The themes of the word…
Ferguson, Terri Lynn Kurley
This study examined the impact of digital game-based learning (DGBL) on mathematics achievement in a rural high school setting in North Carolina. A causal comparative research design was used in this study to collect data to determine the effectiveness of DGBL in high school Algebra 1 classes. Data were collected from the North Carolina…
Wawro, Megan; Sweeney, George F.; Rabin, Jeffrey M.
This paper reports on a study investigating students' ways of conceptualizing key ideas in linear algebra, with the particular results presented here focusing on student interactions with the notion of subspace. In interviews conducted with eight undergraduates, we found students' initial descriptions of subspace often varied substantially from…
Steele, Marcee M.
This article reviews characteristics of high school students with learning disabilities and presents instructional modifications and study skills to help them succeed in algebra and geometry courses and on high stakes mathematics assessments.
Gimenez, Philippe; Sáenz-de-Cabezón, Eduardo
Featuring up-to-date coverage of three topics lying at the intersection of combinatorics and commutative algebra, namely Koszul algebras, primary decompositions and subdivision operations in simplicial complexes, this book has its focus on computations. "Computations and combinatorics in commutative algebra" has been written by experts in both theoretical and computational aspects of these three subjects and is aimed at a broad audience, from experienced researchers who want to have an easy but deep review of the topics covered to postgraduate students who need a quick introduction to the techniques. The computational treatment of the material, including plenty of examples and code, will be useful for a wide range of professionals interested in the connections between commutative algebra and combinatorics.
Stewart, Sepideh; Thomas, Michael O. J.
One of the earlier, more challenging concepts in linear algebra at university is that of basis. Students are often taught procedurally how to find a basis for a subspace using matrix manipulation, but may struggle with understanding the construct of basis, making further progress harder. We believe one reason for this is because students have…
Maat, Siti Mistima; Zakaria, Effandi
Ordinary differential equations (ODEs) are one of the important topics in engineering mathematics that lead to the understanding of technical concepts among students. This study was conducted to explore the students' understanding of ODEs when they solve ODE questions using a traditional method as well as a computer algebraic system, particularly…
Kolovou, Angeliki; van den Heuvel-Panhuizen, Marja; Koller, Olaf
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…
Wilkie, Karina J.
This article is based on a project that investigated teachers' knowledge in teaching an important aspect of algebra in the middle years of schooling--functions, relations and joint variation. As part of the project, 105 upper primary teachers were surveyed during their participation in Contemporary Teaching and Learning of Mathematics, a research…
Bouck, Emily C; Weng, Pei-Lin
Supported eText for students with visual impairments in mathematics has a promising, emerging literature base, although little of the existing research focuses on implementation within a classroom setting. This qualitative study sought to understand the use of supported eText to deliver algebra to students with visual impairments enrolled in algebra mathematics courses. The study also sought to explore supported eText in contrast to students' traditional means of accessing an algebra text. The main results suggest supported eText holds potential in terms of delivering mathematics content; however, more research and more reflection on the field is needed regarding this approach as a sole means of presenting text. Implications for teacher professional development and implementation practices are discussed.
Stephens, Ana; Blanton, Maria; Knuth, Eric; Isler, Isil; Gardiner, Angela Murphy
Mathematics educators have argued for some time that elementary school students are capable of engaging in algebraic thinking and should be provided with rich opportunities to do so. Recent initiatives like the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) have taken up this call by reiterating the place of early algebra in…
Rodriguez, Anthony M.
Students with intellectual and developmental disabilities (IDD) are routinely excluded from algebra and other high-level mathematics courses. High school students with IDD take courses in arithmetic and life skills rather than having an opportunity to learn algebra. Yet algebra skills can support the learning of money and budgeting skills. This…
Walick, Christopher M.; Burns, Matthew K.
Algebra is critical to high school graduation and college success, but student achievement in algebra frequently falls significantly below expected proficiency levels. While existing research emphasizes the importance of quality algebra instruction, there is little research about how to conduct problem analysis for struggling secondary students.…
Heppen, Jessica B.; Sorensen, Nicholas; Allensworth, Elaine; Walters, Kirk; Rickles, Jordan; Taylor, Suzanne Stachel; Michelman, Valerie
Students who fail algebra are significantly less likely to graduate on time, and algebra failure rates are consistently high in urban districts. Identifying effective credit recovery strategies is critical for getting students back on track. Online courses are now widely used for credit recovery, yet there is no rigorous evidence about the…
Russell, Michael; O'Dwyer, Laura M; Miranda, Helena
Computer-based diagnostic assessment systems hold potential to help teachers identify sources of poor performance and to connect teachers and students to learning activities designed to help advance students' conceptual understandings. The present article presents findings from a study that examined how students' performance in algebra and their overcoming of common algebraic misconceptions were affected by the use of a diagnostic assessment system that focused on important algebra concepts. This study used a four-group randomized cluster trial design in which teachers were assigned randomly to one of four groups: a "business as usual" control group, a partial intervention group that was provided with access to diagnostic tests results, a partial intervention group that was provided with access to the learning activities, and a full intervention group that was given access to the test results and learning activities. Data were collected from 905 students (6th-12th grade) nested within 44 teachers. We used hierarchical linear modeling techniques to compare the effects of full, partial, and no (control) intervention on students' algebraic ability and misconceptions. The analyses indicate that full intervention had a net positive effect on ability and misconception measures.
Ford, Timothy J
This book presents a comprehensive introduction to the theory of separable algebras over commutative rings. After a thorough introduction to the general theory, the fundamental roles played by separable algebras are explored. For example, Azumaya algebras, the henselization of local rings, and Galois theory are rigorously introduced and treated. Interwoven throughout these applications is the important notion of étale algebras. Essential connections are drawn between the theory of separable algebras and Morita theory, the theory of faithfully flat descent, cohomology, derivations, differentials, reflexive lattices, maximal orders, and class groups. The text is accessible to graduate students who have finished a first course in algebra, and it includes necessary foundational material, useful exercises, and many nontrivial examples.
Full Text Available In this paper, we present the problem of matching students to schools by using different matching mechanisms. This market is specific since public schools are free and the price mechanism cannot be used to determine the optimal allocation of children in schools. Therefore, it is necessary to use different matching algorithms that mimic the market mechanism and enable us to determine the core of the cooperative game. In this paper, we will determine that it is possible to apply cooperative game theory in matching problems. This review paper is based on illustrative examples aiming to compare matching algorithms in terms of the incentive compatibility, stability and efficiency of the matching. In this paper we will present some specific problems that may occur in matching, such as improving the quality of schools, favoring minority students, the limited length of the list of preferences and generating strict priorities from weak priorities.
Fyfe, Emily R.; Matthews, Percival G.; Amsel, Eric; McEldoon, Katherine L.; McNeil, Nicole M.
A central understanding in mathematics is knowledge of "math equivalence," the relation indicating that 2 quantities are equal and interchangeable. Decades of research have documented elementary-school (ages 7 to 11) children's (mis)understanding of math equivalence, and recent work has developed a construct map and comprehensive…
Cooley, Laurel; Vidakovic, Draga; Martin, William O.; Dexter, Scott; Suzuki, Jeff
In this report we examine students' perceptions of the implementation of carefully designed curriculum materials (called modules) in linear algebra courses at three different universities. The curricular materials were produced collaboratively by STEM and mathematics education faculty as members of a professional learning community (PLC) over…
Aichele, Douglas B.; Francisco, Cynthia; Utley, Juliana; Wescoatt, Benjamin
A mixed-method study was conducted during the Fall 2008 semester to better understand the experiences of students participating in computer-aided instruction of College Algebra using the software MyMathLab. The learning environment included a computer learning system for the majority of the instruction, a support system via focus groups (weekly…
This article deals with students hacking school computer systems. School districts are getting tough with students "hacking" into school computers to change grades, poke through files, or just pit their high-tech skills against district security. Dozens of students have been prosecuted recently under state laws on identity theft and unauthorized…
Wawro, Megan Jean
In this study, I considered the development of mathematical meaning related to the Invertible Matrix Theorem (IMT) for both a classroom community and an individual student over time. In this particular linear algebra course, the IMT was a core theorem in that it connected many concepts fundamental to linear algebra through the notion of…
Dedicated educators strive to ensure the achievement of all their students. Much research has been done to determine which factors may lead to success in the classroom, particularly that of the math classroom. As the study of mathematics is fundamental for many careers, a solid foundation is vital for students. This study examined whether or not…
Garrett, Paul B
Designed for an advanced undergraduate- or graduate-level course, Abstract Algebra provides an example-oriented, less heavily symbolic approach to abstract algebra. The text emphasizes specifics such as basic number theory, polynomials, finite fields, as well as linear and multilinear algebra. This classroom-tested, how-to manual takes a more narrative approach than the stiff formalism of many other textbooks, presenting coherent storylines to convey crucial ideas in a student-friendly, accessible manner. An unusual feature of the text is the systematic characterization of objects by universal
Brewer, David Shane
This study compared the effectiveness, in terms of mathematical achievement and mathematics self-efficacy, of online homework to textbook homework over an entire semester for 145 students enrolled in multiple sections of college algebra at a large community college. A quasi-experimental, posttest design was used to analyze the effect on mathematical achievement, as measured by a final exam. A pretest-posttest design was used to analyze the effect on mathematics self-efficacy, as measured by t...
Watt, Sarah J; Watkins, Jessie R; Abbitt, Jason
This review investigates effective interventions for teaching algebra to students with learning disabilities and evaluates the complexity and alignment of skills with the Common Core State Standards in math. The review includes the results of 10 experimental and 5 single-subject designs (N = 15) producing a moderate overall effect size (g = 0.48). A total of five interventions were identified and analyzed across the studies using effect size data. © Hammill Institute on Disabilities 2014.
We gave linear algebra lessons to the fifth grade students as an elective subject and analyzed that to what extent students understood the linear algebra, judging from the result of questionaires and tests. It showed that they are good at the problems accompanied by calculations such as inverse matrix, simultaneous linear equation, and proper value problem and that, on the contrary, it is difficult to understand the abstract notion like linear space and linear map.
Snipes, Jason; Finkelstein, Neal
Four years of math in high school, with a strong foundation in algebra that builds from middle school, is key to higher education access. Therefore, ensuring that middle and high school students succeed in math--and in algebra in particular--is an important issue for policy and practice. This research brief examines three recent Regional…
Grant, Melva R.
The purpose of this study was to determine students' perspectives about productive peer culture (PPC) in general and for mathematics learning. The urban and rural high school students in this study have participated for at least one year in either an Algebra Project Cohort Model (APCM) for daily mathematics instruction and/or worked as mathematics…
Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups, rings, fields, ideals, quotient rings and quotient fields, homomorphisms and isomorphisms, modules, and vector spaces. Author Pierre Samuel notes that students benefit from their studies of algebraic number theory by encountering many concepts fundamental to other branches of mathematics - algebraic geometry, in particular.This book assumes a knowledge of basic algebra but supplements its teachings with brief, clear explanations of integrality, algebraic extensions of fields, Gal
Aimed at advanced undergraduate students of mathematics, this concise text covers the basics of algebraic geometry. Topics include affine spaces, projective spaces, rational curves, algebraic sets with group structure, more. 1963 edition.
Egodawatte, Gunawardena; Stoilescu, Dorian
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…
Kim, Jeongeun; Kim, Jiyun; DesJardins, Stephen L.; McCall, Brian P.
Noting the benefits of mathematics in students' future educational attainment and labor market success, there is considerable interest in high school requirements in terms of course-taking in mathematics at the national, state, and school district level. Previous research indicates that taking advanced math courses in high school leads to positive…
Clotfelter, Charles T.; Ladd, Helen F.; Vigdor, Jacob L.
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…
Edwards, Harold M
In his new undergraduate textbook, Harold M Edwards proposes a radically new and thoroughly algorithmic approach to linear algebra Originally inspired by the constructive philosophy of mathematics championed in the 19th century by Leopold Kronecker, the approach is well suited to students in the computer-dominated late 20th century Each proof is an algorithm described in English that can be translated into the computer language the class is using and put to work solving problems and generating new examples, making the study of linear algebra a truly interactive experience Designed for a one-semester course, this text adopts an algorithmic approach to linear algebra giving the student many examples to work through and copious exercises to test their skills and extend their knowledge of the subject Students at all levels will find much interactive instruction in this text while teachers will find stimulating examples and methods of approach to the subject
Suggests that school safety is an issue that concerns all students. Discusses how the staff of the Rockwood South (Missouri) "RAMpage" covered the shootings at Columbine High School in a 14-page issue and in follow-up issues. Suggests that the student newspaper covered the controversial topic in an appropriate, tasteful manner. (RS)
Stoll, R R
Linear Algebra is intended to be used as a text for a one-semester course in linear algebra at the undergraduate level. The treatment of the subject will be both useful to students of mathematics and those interested primarily in applications of the theory. The major prerequisite for mastering the material is the readiness of the student to reason abstractly. Specifically, this calls for an understanding of the fact that axioms are assumptions and that theorems are logical consequences of one or more axioms. Familiarity with calculus and linear differential equations is required for understand
Brandy, Travis D.
It is a well-documented finding that high school students in schools across the nation, including California, fail to achieve at the proficient level in mathematics, based on standardized test scores. The purpose of this research study was to compare the findings of students taught using traditional instructional methodologies versus cooperative…
Otten, Samuel; Herbel-Eisenmann, Beth A.; Males, Lorraine M.
The purpose of this article is to provide an image of what proof could look like in beginning algebra, a course that nearly every secondary school student encounters. The authors present an actual classroom vignette in which a rich opportunity for student reasoning arose. After analyzing the proof schemes at play, the authors provide a…
This self-contained textbook takes a matrix-oriented approach to linear algebra and presents a complete theory, including all details and proofs, culminating in the Jordan canonical form and its proof. Throughout the development, the applicability of the results is highlighted. Additionally, the book presents special topics from applied linear algebra including matrix functions, the singular value decomposition, the Kronecker product and linear matrix equations. The matrix-oriented approach to linear algebra leads to a better intuition and a deeper understanding of the abstract concepts, and therefore simplifies their use in real world applications. Some of these applications are presented in detailed examples. In several ‘MATLAB-Minutes’ students can comprehend the concepts and results using computational experiments. Necessary basics for the use of MATLAB are presented in a short introduction. Students can also actively work with the material and practice their mathematical skills in more than 300 exerc...
Abrams, Gene; Siles Molina, Mercedes
This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume. Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with ring theorists as well as researchers working in graph C*-algebras, group theory and symbolic dynamics attracted to the topic. Providing a historical perspective on the subject, the authors review existing arguments, establish new results, and outline the major themes and ring-theoretic concepts, such as the ideal structure, Z-grading and the close link between Leavitt path algebras and graph C*-algebras. The book also presents key lines of current research, including the Algebraic Kirchberg Phillips Question, various additional classification questions, and connections to noncommutative algebraic geometry. Leavitt Path Algebras will appeal to graduate students and researchers working in the field and related areas, such as C*-algebras and...
Cadigan, Francoise Jane; Wei, Yichun; Clifton, Rodney A.
Very little Canadian research has examined the academic achievement of private school students. Data from The Programme for International Student Assessment (PISA) 2003 were used to examine the achievement of private school students. The study found that private school students outperformed their public school peers. In addition, the students'…
This study investigates the relationship between the use of graphing calculators employed as Type II technology and student achievement, as determined by assessing students' problem solving skills associated with the concept of function, at the college algebra and pre-calculus level. In addition, this study explores the integration of graphing…
This study measured the amounts of different types of metacognitive statements made by students enrolled in Elementary Algebra courses at a community college in California. A total of 17 students were interviewed three times during the course of a semester. All interviews were coded for types of metacognitive statements that fell into one of three…
Kaja Høiseth Brugård
This paper studies the relationship between school choice and student performance for high school students in Norway. The analysis exploits both the fact that the degree of school choice formally differs between counties, and detailed information on travelling distances to high schools, which more closely reflects the students' actual school choice possibilities. Information on students' residence, high school location, and the degree of formal school choice is used to estimate the effect on ...
The first volume of a pair that charts relation algebras from novice to expert level, this text offers a comprehensive grounding for readers new to the topic. Upon completing this introduction, mathematics students may delve into areas of active research by progressing to the second volume, Advanced Topics in Relation Algebras; computer scientists, philosophers, and beyond will be equipped to apply these tools in their own field. The careful presentation establishes first the arithmetic of relation algebras, providing ample motivation and examples, then proceeds primarily on the basis of algebraic constructions: subalgebras, homomorphisms, quotient algebras, and direct products. Each chapter ends with a historical section and a substantial number of exercises. The only formal prerequisite is a background in abstract algebra and some mathematical maturity, though the reader will also benefit from familiarity with Boolean algebra and naïve set theory. The measured pace and outstanding clarity are particularly ...
Murphy, Julia; Chang, Jen-Mei; Suaray, Kagba
Flipped learning is gaining traction in K-12 for enhancing students' problem-solving skills at an early age; however, there is relatively little large-scale research showing its effectiveness in promoting better learning outcomes in higher education, especially in mathematics classes. In this study, we examined the data compiled from both quantitative and qualitative measures such as item scores on a common final and attitude survey results between a flipped and a traditional Introductory Linear Algebra class taught by two individual instructors at a state university in California in Fall 2013. Students in the flipped class were asked to watch short video lectures made by the instructor and complete a short online quiz prior to each class attendance. The class time was completely devoted to problem solving in group settings where students were prompted to communicate their reasoning with proper mathematical terms and structured sentences verbally and in writing. Examination of the quality and depth of student responses from the common final exam showed that students in the flipped class produced more comprehensive and well-explained responses to the questions that required reasoning, creating examples, and more complex use of mathematical objects. Furthermore, students in the flipped class performed superiorly in the overall comprehension of the content with a 21% increase in the median final exam score. Overall, students felt more confident about their ability to learn mathematics independently, showed better retention of materials over time, and enjoyed the flipped experience.
Baker-Smith, E. Christine
Evidence is clear that discipline in high school is associated with negative outcomes across the life course. Not only are suspensions related to declining academic trajectories during high school in the form of attendance and academic achievement, students suspended once are also more likely to be suspended again and also substantially increase…
Over the past three decades, researchers have found cooperative learning to have positive effects on student achievement in various subject areas and levels in education. However, there are limited studies on the impact of cooperative learning on student achievement in the area of high school mathematics. This study examined the impact of…
Earnest, Darrell; Balti, Aadina A.
Incorporating algebra into the elementary grades has become a focus for teachers, principals, and administrators across the country. The Dinner Tables problem described in this article is a lesson commonly used in elementary grades for its algebraic potential. Instructional strategies for supporting algebra instruction use an example from a…
Nursel TÜRKMEN, Delia; Halis DOKGÖZ, Mihai; Semra AKGÖZ, Suzana; Bülent EREN, Bogdan Nicolae; Pınar VURAL, Horatiu; Oğuz POLAT, Horatiu
ABSTRACT Objective: The main aim of this research is to investigate the prevalence of bullying behaviour, its victims and the types of bullying and places of bullying among 14-17 year-old adolescents in a sample of school children in Bursa, Turkey. Methodology: A cross-sectional survey questionnaire was conducted among class 1 and class 2 high school students for identification bullying. Results: Majority (96.7%) of the students were involved in bullying behaviours as aggressors or victims. For a male student, the likelihood of being involved in violent behaviours was detected to be nearly 8.4 times higher when compared with a female student. Conclusion: a multidisciplinary approach involving affected children, their parents, school personnel, media, non-govermental organizations, and security units is required to achieve an effective approach for the prevention of violence targeting children in schools as victims and/or perpetrators. PMID:24371478
Panu Poutvaara; Olli Ropponen
In this paper, we study how high school students reacted to the shocking news of a school shooting. The shooting coincided with national high-school matriculation exams. As there were exams both before and after the shooting, we can use a difference-in-differences analysis to uncover how the school shooting affected the test scores compared to previous years. We find that the average performance of young men declined due to the school shooting, whereas we do not observe a similar pattern for ...
Heppen, Jessica; Allensworth, Elaine; Walters, Kirk; Pareja, Amber Stitziel; Kurki, Anja; Nomi, Takako; Sorensen, Nicholas
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…
Bozhenko, Liudmila Fedorovna
Reports on a survey involving 700 students and 300 parents in Volgodonsk, Russia. Itemizes types of leisure activities and hours per week of leisure time enjoyed by students and examines amount of organized leisure. Notes that television viewing consumed much of students' leisure time. Underscores parents' critical influence in determining student…
Morris, Rebecca J.
Innovative, well-designed school library programs can be critical resources for helping students meet high standards of college and career readiness. In "School Libraries and Student Learning", Rebecca J. Morris shows how school leaders can make the most of their school libraries to support ambitious student learning. She offers…
Partial Boolean algebras, first studied by Kochen and Specker in the 1960s, provide the structure for Bell-Kochen-Specker theorems which deny the existence of non-contextual hidden variable theories. In this paper, we study partial Boolean algebras which are 'algebraic' in the sense that their elements have coordinates in an algebraic number field. Several of these algebras have been discussed recently in a debate on the validity of Bell-Kochen-Specker theorems in the context of finite precision measurements. The main result of this paper is that every algebraic finitely-generated partial Boolean algebra B(T) is finite when the underlying space H is three-dimensional, answering a question of Kochen and showing that Conway and Kochen's infinite algebraic partial Boolean algebra has minimum dimension. This result contrasts the existence of an infinite (non-algebraic) B(T) generated by eight elements in an abstract orthomodular lattice of height 3. We then initiate a study of higher-dimensional algebraic partial Boolean algebras. First, we describe a restriction on the determinants of the elements of B(T) that are generated by a given set T. We then show that when the generating set T consists of the rays spanning the minimal vectors in a real irreducible root lattice, B(T) is infinite just if that root lattice has an A 5 sublattice. Finally, we characterize the rays of B(T) when T consists of the rays spanning the minimal vectors of the root lattice E 8
Faulkner, Valerie N.; Stiff, Lee V.; Marshall, Patricia L.; Nietfeld, John; Crossland, Cathy L.
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…
Jupri, Al; Drijvers, Paul; van den Heuvel-Panhuizen, Marja
The use of digital tools in algebra education is expected to not only contribute to master skill, but also to acquire conceptual understanding. The question is how digital tools affect students" thinking and understanding. This paper presents an analysis of data of one group of three grade seventh students (12-13 year-old) on the use of a digital tool for algebra, the Cover-up applet for solving equations in particular. This case study was part of a larger teaching experiment on initial algebra enriched with digital technology which aimed to improve students" conceptual understanding and skills in solving equations in one variable. The qualitative analysis of a video observation, digital and written work showed that the use of the applet affects student thinking in terms of strategies used by students while dealing with the equations. We conclude that the effects of the use of the digital tool can be traced from student problem solving strategies on paper-and-pencil environment which are similar to strategies while working with the digital tool. In future research, we recommend to use specific theoretical lenses, such as the theory of instrumental genesis and the onto-semiotic approach, to reveal more explicit relationships between students" conceptual understanding and the use of a digital tool.
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)
Eriksson, Inger; Jansson, Anders
The issue of this article is to identify and discuss what conditions may be necessary to build into tasks to make it likely for students to be involved in an algebraic Learning Activity inspired by Davydov. Data from a pilot study was used in which a group of students (N = 28) in grade 1 (7-year-olds) were invited to participate in discussions and…
The article presents the results of an experiment in which Excel applications that depict rotatable and sizable orthographic projection of simple 3D figures with face overlapping were developed with thirty gymnasium (high school) students of age 17-19 as an introduction to 3D computer graphics. A questionnaire survey was conducted to find out…
Ham, Sandra; Walker, Erica
This paper describes the Milwaukee Public Schools' involvement in Equity 2000, a standards-based reform initiative to enhance mathematics education and achievement among students of color, thereby increasing their likelihood of college enrollment and completion. The study highlights efforts to support and sustain a key component of Equity 2000:…
Fyfe, Emily R.
Homework is transforming at a rapid rate with continuous advances in educational technology. Computer-based homework, in particular, is gaining popularity across a range of schools, with little empirical evidence on how to optimize student learning. The current aim was to test the effects of different types of feedback on computer-based homework.…
I Made Arnawa
Full Text Available This study is a quasi-experimental nonrandomized pretest-posttest control group design. The experiment group is treated by APOS theory instruction (APOS,that implements four characteristics of APOS theory, (1 mathematical knowledge was constructed through mental construction: actions, processes, objects, and organizing these in schemas, (2 using computer, (3 using cooperative learning groups, and (4 using ACE teaching cycle (activities, class discussion, and exercise. The control group is treated by conventional/traditional mathematics instruction (TRAD. The main purpose of this study is to analyze about achievement in proof. 180 students from two different universities (two classes at the Department of Mathematics UNAND and two classes atthe Department of Mathematics Education UNP PADANG were engaged as the research subjects. Based on the result of data analysis, the main result of this study is that the proof ability of students' in the APOS group is significantly better than student in TRAD group, so it is strongly suggested to apply APOS theory in Abstract Algebra course.
Keywords: Consumer Education, Attitude, Home Economics, Secondary. School Students. ... Home Management taught at Senior Secondary School level. Today ..... indicate that facilities for teaching Consumer Education especially textbooks.
Soro, S.; Maarif, S.; Kurniawan, Y.; Raditya, A.
The aim of this study is to find out the effect of Dienes AEM (Algebra Experience Materials) on the ability of understanding concept of algebra on the senior high school student in Indonesia. This research is an experimental research with subject of all high school students in Indonesia. The samples taken were high school students in three provinces namely DKI Jakarta Province, West Java Province and Banten Province. From each province was taken senior high school namely SMA N 9 Bekasi West Java, SMA N 94 Jakarta and SMA N 5 Tangerang, Banten. The number of samples in this study was 114 high school students of tenth grade as experimental class and 115 high school students of tenth grade as control class. Learning algebra concept is needed in learning mathematics, besides it is needed especially to educate students to be able to think logically, systematically, critically, analytically, creatively, and cooperation. Therefore in this research will be developed an effective algebra learning by using Dienes AEM. The result of this research is that there is a significant influence on the students’ concept comprehension ability taught by using Dienes AEM learning as an alternative to instill the concept of algebra compared to the students taught by conventional learning. Besides, the students’ learning motivation increases because students can construct the concept of algebra with props.
In the absence of immunity, courts have held schools and school personnel liable for personal injury by a student with a disability that resulted from negligent failure to provide a reasonable safe environment, failure to warn of known hazards, or failure to provide adequate supervision. Case law is presented to demonstrate the extent that school…
Usman, Ahmed Ibrahim
Knowledge and understanding of mathematical operations serves as a pre-reequisite for the successful translation of algebraic word problems. This study explored pre-service teachers' ability to recognize mathematical operations as well as use of those capabilities in constructing algebraic expressions, equations, and their solutions. The outcome…
Flower, Andrea; McKenna, John; Muething, Colin S; Bryant, Diane Pedrotty; Bryant, Brian R
This study investigated the effects of the Good Behavior Game (GBG) on classwide off-task behavior in two ninth-grade basic algebra resource classes. Ten students with a variety of disabilities, in two classrooms, and their special education resource teacher participated in this study. A reversal design was employed, in which the special education teacher implemented GBG compared to typical practice-algebra readiness instruction. Results showed that classwide off-task behavior decreased in the GBG conditions compared to the baseline and reversal conditions. Fidelity measures indicated that the teacher implemented GBG with fidelity. Students and the teacher rated GBG favorably. Overall findings support the use of GBG for reducing classwide off-task behavior. Implications for practice and future research directions are presented.
In May 2016, the U.S. Department of Justice and the U.S. Department of Education issued guidance to schools intended to provide transgender students with safe and inclusive learning environments. On the heels of this guidance, Ellen Kahn, the Human Rights Campaign's director of Children, Youth, and Families Program, offers advice for educators…
Clotfelter, Charles T.; Ladd, Helen F.; Vigdor, Jacob L.
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…
Howard, Keith A.; Scott, Allison; Romero, Martin; Saddler, Derrick
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…
McCarthy, Teresa M.; Moreno, Josephine
Focus-group interviews of New York City middle-school students about their perceptions of the effectiveness of the school-uniform policy. Finds that students' perceptions of the effects of school-uniform policy on school culture varied considerably with those intended by the principal. (Contains 40 references.) (PKP)
De Cecco, John P.; Roberts, John K.
One of 52 theoretical papers on school crime and its relation to poverty, this chapter presents a model of negotiation as a means to resolve school conflict. The assumption is that school conflict is inevitable, but student delinquency is not. Delinquent behavior results from the way that the school deals with conflict. Students resort to…
Aryani, F.; Amin, S. M.; Sulaiman, R.
Algebraic reasoning is a process in which students generalize mathematical ideas from a set of particular instances and express them in increasingly formal and age-appropriate ways. Using problem solving approach to develop algebraic reasoning of mathematics may enhace the long-term learning trajectory of the majority students. The purpose of this research was to describe the algebraic reasoning of quitter, camper, and climber junior high school students in solving mathematical problems. This research used qualitative descriptive method. Subjects were determined by purposive sampling. The technique of collecting data was done by task-based interviews.The results showed that the algebraic reasoning of three students in the process of pattern seeking by identifying the things that are known and asked in a similar way. But three students found the elements of pattern recognition in different ways or method. So, they are generalize the problem of pattern formation with different ways. The study of algebraic reasoning and problem solving can be a learning paradigm in the improve students’ knowledge and skills in algebra work. The goal is to help students’ improve academic competence, develop algebraic reasoning in problem solving.
Rossman, Carol L; Dood, Florence V; Squires, Darcy A
The severe underuse of school nurses leaves students with unaddressed health needs that impact their safety and learning ability. An undergraduate pediatric clinical focusing on nursing students and the role of a school nurse in an elementary school setting can be a unique approach to combining the needs of school children and educating student nurses. One school of nursing created such a project to help address these needs and collect data on the activities student nurses performed in school nurse role and their impact on student health. This project serves as both a practice improvement project and an innovation in pediatric clinical education. The purposes of this project were to quantify baccalaureate nursing student activities related to the school nurse role and to evaluate the results that have the potential to impact on student health in an urban elementary school. Copyright © 2012 Elsevier Inc. All rights reserved.
Kunkel, Richard C.; And Others
Responses to questionnaires administered to 10,000 senior high school students to ascertain their feelings of alienation as related to their schools are presented. The questionnaire items concerned: School as an Institution, The School as Teacher, Authority--Autonomy, and Parental Interest in School. The findings that resulted from the…
The Grassmann algebra is presented briefly. Exponential and logarithm of matrices functions, whose elements belong to this algebra, are studied with the help of the SCHOONSCHIP and REDUCE 2 algebraic manipulators. (Author) [pt
Engerman, Jason; Rusek, Matthew; Clariana, Roy
This experiment investigates the effectiveness of Excel spreadsheets in a high school algebra class. Students in the experiment group convincingly outperformed the control group on a post lesson assessment. The student responses, teacher observations involving Excel spreadsheet revealed that it operated as a mindtool, which formed the users'…
Herriott, Scott R.; Dunbar, Steven R.
The common understanding within the mathematics community is that the role of the college algebra course is to prepare students for calculus. Though exceptions are emerging, the curriculum of most college algebra courses and the content of most textbooks on the market both reflect that assumption. This article calls that assumption into question…
Davidon, William C.
An algebraic definition of time differentiation is presented and used to relate independent measurements of position and velocity. With this, students can grasp certain essential physical, geometric, and algebraic properties of motion and differentiation before undertaking the study of limits. (Author)
Shafarevich, Igor Rostislavovich
This book is wholeheartedly recommended to every student or user of mathematics. Although the author modestly describes his book as 'merely an attempt to talk about' algebra, he succeeds in writing an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields, commutative rings and groups studied in every university math course, through Lie groups and algebras to cohomology and category theory, the author shows how the origins of each algebraic concept can be related to attempts to model phenomena in physics or in other branches
Solomon, Alan D
REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Boolean Algebra includes set theory, sentential calculus, fundamental ideas of Boolean algebras, lattices, rings and Boolean algebras, the structure of a Boolean algebra, and Boolean
Sterling, Mary Jane
To succeed in Algebra II, start practicing now Algebra II builds on your Algebra I skills to prepare you for trigonometry, calculus, and a of myriad STEM topics. Working through practice problems helps students better ingest and retain lesson content, creating a solid foundation to build on for future success. Algebra II Workbook For Dummies, 2nd Edition helps you learn Algebra II by doing Algebra II. Author and math professor Mary Jane Sterling walks you through the entire course, showing you how to approach and solve the problems you encounter in class. You'll begin by refreshing your Algebr
Strassberg, Donald S; Cann, Deanna; Velarde, Valerie
In the last 8 years, several studies have documented that many adolescents acknowledge having exchanged sexually explicit cell phone pictures of themselves, a behavior termed sexting. Differences across studies in how sexting was defined, recruitment strategies, and cohort have resulted in sometimes significant differences in as basic a metric as what percentage of adolescents have sent, received, or forwarded such sexts. The psychosocial and even legal risks associated with sexting by minors are significantly serious that accurate estimates of its prevalence, including over time, are important to ascertain. In the present study, students (N = 656) from a single private high school were surveyed regarding their participation in sexting. Students at this same school were similarly surveyed four years earlier. In this second survey, reported rates of sending (males 15.8%; females 13.6%) and receiving (males 40.5%; females 30.6%) sexually explicit cell phone pictures (revealing genitals or buttocks of either sex or female breasts) were generally similar to those reported at the same school 4 years earlier. Rates of forwarding sexts (males 12.2%; females 7.6%) were much lower than those previously acknowledged at this school. Correlates of sexting in this study were similar to those reported previously. Overall, our findings suggest that sexting by adolescents (with the exception of forwarding) remains a fairly common behavior, despite its risks.
Sangwin, Christopher J.
This paper concerns computer aided assessment (CAA) of mathematics in which a computer algebra system (CAS) is used to help assess students' responses to elementary algebra questions. Using a methodology of documentary analysis, we examine what is taught in elementary algebra. The STACK CAA system, http://www.stack.bham.ac.uk/, which uses the CAS…
Stoker, Ginger; Mellor, Lynn
This study examines the impact of providing parents with an informational brochure about the role of algebra II in college access on students' grade 11 algebra II completion rates in Texas. One hundred nine schools, covering all 20 Educational Service Center regions in Texas, participated in the study. Parents in the 54 treatment schools were…
Vertex algebras are algebraic objects that encapsulate the concept of operator product expansion from two-dimensional conformal field theory. Vertex algebras are fast becoming ubiquitous in many areas of modern mathematics, with applications to representation theory, algebraic geometry, the theory of finite groups, modular functions, topology, integrable systems, and combinatorics. This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves. The notion of a vertex algebra is introduced in a coordinate-independent way, so that vertex operators become well defined on arbitrary smooth algebraic curves, possibly equipped with additional data, such as a vector bundle. Vertex algebras then appear as the algebraic objects encoding the geometric structure of various moduli spaces associated with algebraic curves. Therefore they may be used to give a geometric interpretation of various questions of representation theory. The book co...
Lane, Rebekah M.
This investigation utilized the qualitative case study method. Seventy-one College Algebra students were given a mathematical processing instrument. This testing device measured a student's preference for visual thinking. Two students were purposefully selected using the instrument. The visual mathematical learner (VL) was discussed in this…
In this paper we introduce the concept of implicative algebras which is an equivalent definition of lattice implication algebra of Xu (1993) and further we prove that it is a regular Autometrized. Algebra. Further we remark that the binary operation → on lattice implicative algebra can never be associative. Key words: Implicative ...
Gilmour, Joseph E., Jr.; And Others
The college selection process used by high school students was studied and a paradigm that describes the process was developed, based on marketing theory concerning consumer behavior. Primarily college freshmen and high school seniors were interviewed, and a few high school juniors and upper-level college students were surveyed to determine…
Diaz, Abby T.
This researcher seeks to answer the following question: How did two elementary Title I schools, identified as "high performing" on the first Smarter Balanced assessment, address elements of Maslow's hierarchy of needs when developing school-wide initiatives to enhance student achievement? Many students in Title I schools face barriers to…
Torrens Armstrong, Anna M; McCormack Brown, Kelli R; Brindley, Roger; Coreil, Jeannine; McDermott, Robert J
This study explored school personnel's perceptions of school refusal, as it has been described as a "common educational and public health problem" that is less tolerated due to increasing awareness of the potential socioeconomic consequences of this phenomenon. In-depth interviews were conducted with school personnel at the middle school (N = 42), high school (N = 40), and district levels (N = 10). The findings focus on emergent themes from interviews with school health personnel (N = 12), particularly those themes related to their perceptions of and role in working with school-refusing students. Personnel, especially school health services staff, constructed a typification of the school-refusing student as "the sick student," which conceptualized student refusal due to reasons related to illness. Personnel further delineated sick students by whether they considered the illness legitimate. School health personnel referenced the infamous "frequent fliers" and "school phobics" within this categorization of students. Overarching dynamics of this typification included parental control, parental awareness, student locus of control, blame, and victim status. These typifications influenced how personnel reacted to students they encountered, particularly in deciding which students need "help" versus "discipline," thus presenting implications for students and screening of students. Overall, findings suggest school health personnel play a pivotal role in screening students who are refusing school as well as keeping students in school, underscoring policy that supports an increased presence of school health personnel. Recommendations for school health, prevention, and early intervention include the development of screening protocols and staff training. © 2011, American School Health Association.
Edmonds, Thomas; Flanagan, David J.; Palmer, Timothy B.
The purpose of this paper is to examine factors that influence business students' intentions to enroll in law school. Scant research has focused on factors that influence business students' decisions to enroll in law school. This paper attempts to fill that gap. Hypotheses about student intentions are based on Ajzen & Fishbein's (1977) Theory…
Tosun, Cemal; Genç, Murat
The purpose of this study is to identify the factors that affect the secondary school students' attitudes in science. This study was conducted using survey method. The sample of the study was 503 students from four different secondary schools in Bartin and Düzce. Data were obtained using the Survey of Factors Affecting Students' Science Attitudes…
Tong, Siu Yin Annie; Adamson, Bob
The value of student voices in dialogues about learning improvement is acknowledged in the literature. This paper examines how the views of students regarding School-based Assessment (SBA), a significant shift in examination policy and practice in secondary schools in Hong Kong, have largely been ignored. The study captures student voices through…
The book stresses the interplay between several areas of pure and applied mathematics, emphasizing the central role of monomial algebras. It unifies the classical results of commutative algebra with central results and notions from graph theory, combinatorics, linear algebra, integer programming, and combinatorial optimization. The book introduces various methods to study monomial algebras and their presentation ideals, including Stanley-Reisner rings, subrings and blowup algebra-emphasizing square free quadratics, hypergraph clutters, and effective computational methods.
Domina, Thurston; Penner, Andrew M; Penner, Emily K; Conley, Annemarie
Across the United States, secondary school curricula are intensifying as a growing proportion of students enroll in high-level academic math courses. In many districts, this intensification process occurs as early as eighth grade, where schools are effectively constraining their mathematics curricula by restricting course offerings and placing more students into Algebra I. This paper provides a quantitative single-case research study of policy-driven curricular intensification in one California school district. (1a) What effect did 8th eighth grade curricular intensification have on mathematics course enrollment patterns in Towering Pines Unified schools? (2b) How did the distribution of prior achievement in Towering Pines math classrooms change as the district constrained the curriculum by universalizing 8th eighth grade Algebra? (3c) Did 8th eighth grade curricular intensification improve students' mathematics achievement? Towering Pines is an immigrant enclave in the inner-ring suburbs of a major metropolitan area. The district's 10 middle schools together enroll approximately 4,000 eighth graders each year. The districts' students are ethnically diverse and largely economically disadvantaged. The study draws upon administrative data describing 8th eighth graders in the district in the 2004-20-05 through 2007-20-08 school years. During the study period, Towering Pines dramatically intensified middle school students' math curricula: In the 2004-20-05 school year 32% of the district's 8th eighth graders enrolled in Algebra or a higher- level mathematics course; by the 2007-20-08 school year that proportion had increased to 84%. We use an interrupted time-series design, comparing students' 8th eighth grade math course enrollments, 10th grade math course enrollments, and 10th grade math test scores across the four cohorts, controlling for demographics and prior achievement. We find that students' odds of taking higher level mathematics courses increased as this
Stein, Mary Kay; Kaufman, Julia Heath; Sherman, Milan; Hillen, Amy F.
The authors review what is known about early and universal algebra, including who is getting access to algebra and student outcomes associated with algebra course taking in general and specifically with universal algebra policies. The findings indicate that increasing numbers of students, some of whom are underprepared, are taking algebra earlier.…
Linear algebra is one of the central disciplines in mathematics. A student of pure mathematics must know linear algebra if he is to continue with modern algebra or functional analysis. Much of the mathematics now taught to engineers and physicists requires it.This well-known and highly regarded text makes the subject accessible to undergraduates with little mathematical experience. Written mainly for students in physics, engineering, economics, and other fields outside mathematics, the book gives the theory of matrices and applications to systems of linear equations, as well as many related t
Maughan, Erin D.
School nurses help students with the prevention and management of chronic physical and mental health issues, but not all schools have a full-time registered nurse on their staff. The author argues that investing in school nursing has benefits that extend beyond the school and into the community.
Lange, Karin E.; Booth, Julie L.; Newton, Kristie J.
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…
Ramsey, Christine M.; Spira, Adam P.; Parisi, Jeanine M.; Rebok, George W.
Research suggests that school climate can have a great impact on student, teacher, and school outcomes. However, it is often assessed as a summary measure, without taking into account multiple perspectives (student, teacher, parent) or examining subdimensions within the broader construct. In this study, we assessed school climate from the perspective of students, staff, and parents within a large, urban school district using multilevel modeling techniques to examine within- and between-school variance. After adjusting for school-level demographic characteristics, students reported worse perceptions of safety and connectedness compared to both parent and staff ratings (all p climate ratings within a school. Understanding how perceptions differ between informants can inform interventions to improve perceptions and prevent adverse outcomes. PMID:28642631
Pearn, Catherine; Stephens, Max
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…
Snipes, Jason; Huang, Chun-Wei; Jaquet, Karina; Finkelstein, Neal
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…
Many students worry about starting algebra. Pre-Algebra Essentials For Dummies provides an overview of critical pre-algebra concepts to help new algebra students (and their parents) take the next step without fear. Free of ramp-up material, Pre-Algebra Essentials For Dummies contains content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical pre-algebra course, from fractions, decimals, and percents to scientific notation and simple variable equations. This guide is also a perfect reference for parents who need to review critical pre-algebra
Quadratic algebras, i.e., algebras defined by quadratic relations, often occur in various areas of mathematics. One of the main problems in the study of these (and similarly defined) algebras is how to control their size. A central notion in solving this problem is the notion of a Koszul algebra, which was introduced in 1970 by S. Priddy and then appeared in many areas of mathematics, such as algebraic geometry, representation theory, noncommutative geometry, K-theory, number theory, and noncommutative linear algebra. The book offers a coherent exposition of the theory of quadratic and Koszul algebras, including various definitions of Koszulness, duality theory, Poincar�-Birkhoff-Witt-type theorems for Koszul algebras, and the Koszul deformation principle. In the concluding chapter of the book, they explain a surprising connection between Koszul algebras and one-dependent discrete-time stochastic processes.
Crouch, Ronald; Keys, Christopher B; McMahon, Susan D
For students with disabilities, the process of school inclusion often begins with a move from segregated settings into general education classrooms. School transitions can be stressful as students adjust to a new environment. This study examines the adjustment of 133 students with and without disabilities who moved from a school that served primarily students with disabilities into 23 public schools in a large urban school district in the Midwest. These students and 111 of their teachers and other school staff rated the degree that students felt they belonged in their new schools and the quality of their social interactions. Results show that students who experienced more positive and fewer negative social interactions with school staff had higher school belonging. Teachers accurately noted whether students felt they belonged in their new settings, but were not consistently able to identify student perceptions of negative social interactions with staff. Implications for inclusion and improving our educational system are explored.
Silva, Daniele Peres da
Full Text Available Tomando a Early Algebra como área de pesquisa que visa uma abordagem para o ensino e aprendizagem da álgebra inicial, este artigo apresenta uma análise das atitudes, indagações e produções escritas, enfim, o comportamento de crianças em resolução de tarefas. O objetivo foi identificar e analisar características do pensamento algébrico em tarefas aplicadas a estudantes do Ensino Fundamental I. Mais especificamente, buscamos compreender como trinta e cinco estudantes do 5º Ano do Ensino Fundamental I de uma escola pública do município de Apucarana-PR lidam com tarefas que promovem o desenvolvimento do pensamento algébrico. Para organização e interpretação dos dados, empregamos procedimentos à luz da Análise de Conteúdo, sendo esta uma modalidade de pesquisa qualitativa. Por meio das respostas apresentadas e das indagações e afirmações dos estudantes durante a resolução das tarefas, o estudo mostrou que embora as resoluções nem sempre estivessem corretas, estas evidenciam indícios de pensamento algébrico, uma vez que os participantes desse estudo perceberam e tentaram expressar as estruturas aritméticas das situações-problema, assim como, descreveram seus processos de pensamento. Portanto, esses estudantes do Ensino Fundamental I têm condições de lidar e de desenvolver aspectos relacionados ao pensamento algébrico, mesmo não apresentando uma linguagem simbólica algébrica. Taking Early Algebra as a research area that seeks an approach to the teaching and learning of early algebra, this paper presents an analysis of attitudes, questions and written productions that provide clues about the behavior of children in solving tasks. The objective was to identify and analyze characteristics of algebraic thinking in tasks applied to elementary school students. More specifically, we aimed to understand how thirty-five students from the 5th year of elementary school in a public school in the city of Apucarana-PR deal
gender and school location significantly influenced students' attitude towards guidance ... students respond and perceive guidance and counselling services will, to ... counsellors will be appointed in post-primary institutions and tertiary levels.
Gradings are ubiquitous in the theory of Lie algebras, from the root space decomposition of a complex semisimple Lie algebra relative to a Cartan subalgebra to the beautiful Dempwolff decomposition of E_8 as a direct sum of thirty-one Cartan subalgebras. This monograph is a self-contained exposition of the classification of gradings by arbitrary groups on classical simple Lie algebras over algebraically closed fields of characteristic not equal to 2 as well as on some nonclassical simple Lie algebras in positive characteristic. Other important algebras also enter the stage: matrix algebras, the octonions, and the Albert algebra. Most of the presented results are recent and have not yet appeared in book form. This work can be used as a textbook for graduate students or as a reference for researchers in Lie theory and neighboring areas.
Selinski, Natalie E.; Rasmussen, Chris; Wawro, Megan; Zandieh, Michelle
The central goals of most introductory linear algebra courses are to develop students' proficiency with matrix techniques, to promote their understanding of key concepts, and to increase their ability to make connections between concepts. In this article, we present an innovative method using adjacency matrices to analyze students' interpretation…
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…
School students from across Europe and beyond have won prizes in an astronomy competition, including the trip of a lifetime to one of the world's most powerful astronomical observatories, on a mountaintop in Chile. ESO, the European Organisation for Astronomical Research in the Southern Hemisphere, together with the European Association for Astronomy Education (EAAE), has just announced the winners of the 2007 "Catch a Star!" competition. ESO PR Photo 21/07 "Catch a Star!" is an international astronomy competition for school students, in which students are invited to 'become astronomers' and explore the Universe. The competition includes two categories for written projects on astronomical themes, to ensure that every student, whatever their level, has the chance to enter and win exciting prizes. For the artistically minded, "Catch a Star!" also includes an astronomy-themed artwork competition. Students from 22 countries submitted hundreds of written projects and pieces of artwork. "The standard of entries was most impressive, and made the jury's task of choosing winners both enjoyable and difficult! We hope that everyone, whether or not they won a prize, had fun taking part, and learnt some exciting things about our Universe", said Douglas Pierce-Price, Education Officer at ESO. The top prize, of a week-long trip to Chile to visit the ESO Very Large Telescope (VLT) on Paranal, was won by students Jan Mestan and Jan Kotek from Gymnazium Pisek in the Czech Republic, together with their teacher Marek Tyle. Their report on "Research and Observation of the Solar Eclipse" told how they had studied solar eclipses, and involved their fellow students in observations of an eclipse from their school in 2006. The team will travel to Chile and visit the ESO VLT - one of the world's most powerful optical/infrared telescopes - where they will meet astronomers and be present during a night of observations on the 2600m high Paranal mountaintop. "It's fantastic that we will see the
Goodstein, R L
This elementary treatment by a distinguished mathematician employs Boolean algebra as a simple medium for introducing important concepts of modern algebra. Numerous examples appear throughout the text, plus full solutions.
Drijvers, Paul; Doorman, Michiel; Kirschner, Paul; Hoogveld, Bert; Boon, Peter
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…
Cousins-Cooper, Kathy; Staley, Katrina N.; Kim, Seongtae; Luke, Nicholas S.
This study aims to investigate the effectiveness of the Emporium instructional method in a course of college algebra and trigonometry by comparing to the traditional lecture method. The math emporium method is a nontraditional instructional method of learning math that has been implemented at several universities with much success and has been…
Ma, Tingting; Brown, Irving A.; Kulm, Gerald; Davis, Trina J.; Lewis, Chance W.; Allen, G. Donald
From the perspectives of Graduate Research Assistants (GRAs), this study examines the design and implementation of a simulated teaching environment in "Second Life" (SL) for prospective teachers to teach algebra for diverse learners. Drawing upon the Learning-for-Use framework, the analyses provide evidence on the development of student…
Drijvers, Paul; Doorman, Michiel; Kirschner, Paul; Hoogveld, Bert; Boon, Peter
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
Lapp, Douglas A.; Nyman, Melvin A.; Berry, John S.
This article examines the connections of linear algebra concepts in a first course at the undergraduate level. The theoretical underpinnings of this study are grounded in the constructivist perspective (including social constructivism), Vernaud's theory of conceptual fields and Pirie and Kieren's model for the growth of mathematical understanding.…
Universal Algebra, heralded as ". . . the standard reference in a field notorious for the lack of standardization . . .," has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science. Each chapter is followed by an extensive list of exercises and problems. The "state of the art" account also includes new appendices (with contributions from B. Jónsson, R. Quackenbush, W. Taylor, and G. Wenzel) and a well-selected additional bibliography of over 1250 papers and books which makes this a fine work for students, instructors, and researchers in the field. "This book will certainly be, in the years to come, the basic reference to the subject." --- The American Mathematical Monthly (First Edition) "In this reviewer's opinion [the author] has more than succeeded in his aim. The problems at the end of each chapter are well-chosen; there are more than 650 of them. The book is especially sui...
Yapici, Ibrahim Umit; Akbayin, Hasan
In this study, it is aimed to determine the high school students' views on blended learning. The study was carried out in biology course for the lesson unit of "Classification of Living Things and Biodiversity" with 47 9[superscript th] grade students attending Nevzat Ayaz Anatolian High School in the second term of the academic year of…
Edwards, Linsey; Hughes, Katherine
Dual enrollment programs allow high school students to enroll in college courses and potentially earn college credit. The term concurrent enrollment is sometimes used interchangeably with dual enrollment, and sometimes to refer to a particular model of dual enrollment. In some programs, students earn high school and college credit simultaneously;…
Hodge, Emma-Leigh; Robertson, Neville; Sargisson, Rebecca J.
Intermediate and high school students spend a large amount of time using mobile devices (Lauricella, Cingel, Blackwell, Wartella, & Conway, 2014), and such devices are increasingly being integrated into our school system. We conducted a series of student-led focus groups, with this early adolescent cohort, in order to better understand their…
Lucas, Keith B.; Tulip, David F.
This investigation was undertaken in order to establish the status of scientific literacy among three groups of secondary school students in four Brisbane, Australia high schools, and to reduce the apparent reticence of science teachers to evaluate students' achievement in the various dimensions of scientific literacy by demonstrating appropriate…
Full Text Available One of the most contentious urban education policy issues in the United States today is the expansion of charter schools and its repercussions. Does the expansion of charter schools affect the racial and socioeconomic composition of traditional public schools in the United States? This study provides empirical evidence on this question by relying on a panel design that uses school-level data from two states that have experimented with charter schools for more than 15 years: Ohio and Texas. Using county-level, spatial, and enrollment-based measures of charter exposure, the changes from pre- to post-charter-legislation stages in the student compositions of public schools that do and do not face competition from charters are examined. The results suggest that charter school presence contributes to aggregate-level changes in the share of non-Hispanic White and free-lunch-eligible students in traditional public schools in both states in different ways.
Nurrahmi, H.; Suryadi, D.; Fatimah, S.
Learning of schools algebra is limited to symbols and operating procedures, so students are able to work on problems that only require the ability to operate symbols but unable to generalize a pattern as one of part of algebraic thinking. The purpose of this study is to create a didactic design that facilitates students to do algebraic thinking process through the generalization of patterns, especially in the context of the property of point and line. This study used qualitative method and includes Didactical Design Research (DDR). The result is students are able to make factual, contextual, and symbolic generalization. This happen because the generalization arises based on facts on local terms, then the generalization produced an algebraic formula that was described in the context and perspective of each student. After that, the formula uses the algebraic letter symbol from the symbol t hat uses the students’ language. It can be concluded that the design has facilitated students to do algebraic thinking process through the generalization of patterns, especially in the context of property of the point and line. The impact of this study is this design can use as one of material teaching alternative in learning of school algebra.
Alpaslan, Muhammet Mustafa; Yalvac, Bugrahan; Loving, Cathleen
This case study explores students' physics-related personal epistemologies in school science practices. The school science practices of nine eleventh grade students in a physics class were audio-taped over 6 weeks. The students were also interviewed to find out their ideas on the nature of scientific knowledge after each activity. Analysis of transcripts yielded several epistemological resources that students activated in their school science practice. The findings show that there is inconsistency between students' definitions of scientific theories and their epistemological judgments. Analysis revealed that students used several epistemological resources to decide on the accuracy of their data including accuracy via following the right procedure and accuracy via what the others find. Traditional, formulation-based, physics instruction might have led students to activate naive epistemological resources that prevent them to participate in the practice of science in ways that are more meaningful. Implications for future studies are presented.
Springer, T A
"[The first] ten chapters...are an efficient, accessible, and self-contained introduction to affine algebraic groups over an algebraically closed field. The author includes exercises and the book is certainly usable by graduate students as a text or for self-study...the author [has a] student-friendly style… [The following] seven chapters... would also be a good introduction to rationality issues for algebraic groups. A number of results from the literature…appear for the first time in a text." –Mathematical Reviews (Review of the Second Edition) "This book is a completely new version of the first edition. The aim of the old book was to present the theory of linear algebraic groups over an algebraically closed field. Reading that book, many people entered the research field of linear algebraic groups. The present book has a wider scope. Its aim is to treat the theory of linear algebraic groups over arbitrary fields. Again, the author keeps the treatment of prerequisites self-contained. The material of t...
Bernard Salignac and Lazare Schöner both published a treatise based on La Ramée's Algebra. Why did they endeavour to republish a book that their master had abandoned ? What changes did they make in the original ? They turned algebra into apedagogical discipline at a time when Ramism was making its presence felt in some Northern European educational establishments. Salignac took La Ramée's thoughts concerning the language of mathematics further and offered an original and precocious contribution to what I call the "scriptural turn" of mathematics at the end of the 16(th) century.
Full Text Available Taking as a point of departure the vision of school algebra as a formalized meta-discourse of arithmetic, we have been following six pairs of 7th-grade students (12-13 years old as they gradually modify their spontaneous meta-arithmetic toward the “official” algebraic form of talk. In this paper we take a look at the very beginning of this process. Preliminary analyses of data have shown, unsurprisingly, that while reflecting on arithmetic processes and relations, the uninitiated 7th graders were employing colloquial means, which could not protect them against occasional ambiguities. More unexpectedly, this spontaneous meta-arithmetic, although not supported by any previous algebraic schooling, displayed some algebra-like features, not to be normally found in everyday discourses.Tomando como punto de partida la visión del álgebra escolar como un meta-discurso formalizado de la aritmética, hemos estado siguiendo a seis pares de estudiantes de 7º curso (12-13 años cuando modifican gradualmente su meta-aritmética espontánea hacia la forma algebraica “oficial” de hablar. En este artículo miramos el principio de este proceso. Los análisis preliminares de los datos han mostrado, como era de esperar, que mientras reflexionaban sobre los procesos y relaciones aritméticas, los alumnos no iniciados emplearon medios coloquiales que no evitaban las ambigüedades ocasionales. Más inesperadamente, esta meta-aritmética espontánea, a pesar de no apoyarse en ninguna enseñanza algebraica previa, desplegó algunas características similares al álgebra que no se encuentran normalmente en los discursos diarios.
Pass, Susan; Willingham, Wendy
Working with two teachers and thirty-four high school seniors, the authors developed procedures and assessments to teach ethics in an American high school civics class. This approach requires high school students to discover an agreement or convergence between Kantian ethics and virtue ethics. The authors also created an instrument to measure…
This best-selling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions. No prerequisites are assumed other than the ...
The axiomatic formulation of quantum mechanics and the problem of whether the observables form self-adjoint operators on a Hilbert space, are discussed. The relation between C*- algebras and Jordan algebras is studied using spectral theory. (P.D.)
Ronald B. Lumpkin
Full Text Available Much of the focus in the literature in raising student achievement has included parental involvement, principal leadership, quality of instruction, students’ socioeconomic status, curriculum, and use of technology. Limited empirical research relates the condition of the school building as a variable that affects student achievement. Furthermore, there is no research that has examined the impact of building codes on achievement outcomes in the state of Florida. This research determined whether academic achievement of 4th-, 8th-, 9th-, and 10th-grade students as measured by the mathematics and reading subtests of the Florida Comprehensive Achievement Test (FCAT increased in new school buildings compliant to the 2000 Florida State Requirements for Educational Facilities. A causal-comparative design determined whether the independent variables, old and new school building influenced student achievement as measured by students’ FCAT mathematics and reading subtest scores. The control group was two cohorts of 4th-, 8th-, 9th-, and 10th-grade students who attended school in old buildings. The experimental group was two cohorts of 4th-, 8th-, 9th-, and 10th-grade students who attended school in new buildings. Transition from an old school into a new school was the treatment. Two hypotheses were formulated for testing and the research question for the inquiry was whether the percentage of students passing the FCAT mathematics and reading subtests increases after transitioning from an old school building into a new 2000 UBC (Uniform Building Code compliant facility.
This self-contained, clearly written textbook on linear algebra is easily accessible for students. It begins with the simple linear equation and generalizes several notions from this equation for the system of linear equations and introduces the main ideas using matrices. It then offers a detailed chapter on determinants and introduces the main ideas with detailed proofs. The third chapter introduces the Euclidean spaces using very simple geometric ideas and discusses various major inequalities and identities. These ideas offer a solid basis for understanding general Hilbert spaces in functional analysis. The following two chapters address general vector spaces, including some rigorous proofs to all the main results, and linear transformation: areas that are ignored or are poorly explained in many textbooks. Chapter 6 introduces the idea of matrices using linear transformation, which is easier to understand than the usual theory of matrices approach. The final two chapters are more advanced, introducing t...
Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry. The author presents a comprehensive view of commutative algebra, from basics, such as localization and primary decomposition, through dimension theory, differentials, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. Many exercises illustrate and sharpen the theory and extended exercises give the reader an active part in complementing the material presented in the text. One novel feature is a chapter devoted to a quick but thorough treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Applications of the theory and even suggestions for computer algebra projects are included. This book will appeal to readers from beginners to advanced students of commutative algebra or algeb...
Mitchell, Roxanne M.; Kensler, Lisa; Tschannen-Moran, Megan
This study examined the effects of student trust in teacher and student perceptions of safety on identification with school. Data were collected from one large urban district in an eastern state. Participants included 5441 students in 3rd through 12th grades from 49 schools. Students responded to surveys that assessed student trust in teachers,…
STUDENTS IN ISUIKWUATO LOCAL GOVERNMENT AREA OF ... the prevalence and types of refractive errors among secondary school students ... KEYWORDS: Refractive error, Secondary School students, ametropia, .... interviews of the teachers as regards the general performance of those students with obvious visual.
Domina, Thurston; Penner, Andrew M.; Penner, Emily K.; Conley, Annemarie
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
Full Text Available In this research, attitudes of high school students towards geometry were investigated in terms of gender, grade, types of the field and school. Population of research includes students who were studying at high school in five distincs of Mersin in 2013-2014 academical year. Sample of research includes 935 students from twelve high schools. Attitude scale which was developed by Su-Özenir (2008 was used for data collection. For data analysis, mean, standart deviation, t test and ANOVA were used. A meaningful difference between students’ attitudes towards geometry and variance of gender and grade level wasn’t observed, on the other hand a meaningful difference according to field and school type is observed.Key Words: Attitudes towards geometry, high school geometry lesson, attitude scale
Moseley, L. Jeneva
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.
Thijs, Jochem; Verkuyten, Maykel
School ethnic desegregation has been a topic of strong societal and educational concern. Research has examined the effects of ethnic school composition on students' interethnic relations with diverging outcomes and sometimes inconsistent results. In this review paper, we provide an assessment of this literature to explain why and when school desegregation might improve or worsen ethnic relations and to identify important future research directions. We discuss different theoretical perspectives predicting positive versus negative aspects of school ethnic diversity: intergroup contact theory and the perspectives of group threat and power differences. Subsequently, we consider a number of school and educational characteristics that can moderate the impact of ethnic diversity on students' interethnic relations and that could be considered in future research. Furthermore, we discuss the need for studying underlying psychological and social processes as well as the importance of investigating interethnic relations in combination with academic adjustment. School ethnic diversity is not enough to promote interethnic tolerance. It is important to examine diversity in relation to other aspects of the school environment that may influence how students respond to the ethnic diversity within school. Important factors to consider are the presence of multicultural education and inclusive school identities, student-teacher relationships, and peer norms and networks, but also the role of parents and of peer relations outside the school context. © 2013 The British Psychological Society.
This comprehensive text offers teachings relevant to both applied and theoretical branches of matrix algebra and provides a bridge between linear algebra and statistical models. Appropriate for advanced undergraduate and graduate students. 1983 edition.
Benjamin, Carl; And Others
Presented are student performance objectives, a student progress chart, and assignment sheets with objective and diagnostic measures for the stated performance objectives in College Algebra I. Topics covered include: sets; vocabulary; linear equations; inequalities; real numbers; operations; factoring; fractions; formulas; ratio, proportion, and…
Cobb, Tiffany R.
Purpose: The purpose of this study was to explore and further understand the ways in which middle school and high school students perceive their school experiences within the school environment. School has an important impact on the social development of children (Milsom, 2006). Learning is not done individually as classrooms are inherently social…
Balkis, Murat; Arslan, Gökmen; Duru, Erdinç
The aim of this study was to examine the direct and indirect relationship between student school absenteeism, personal factors (academic self- perception, attitudes towards teacher and school, goal valuation and motivation/ self-regulation), family factors (parents' educational level and income), and academic achievement in structural equation…
The geometric approach to the algebraic theory of quadratic forms is the study of projective quadrics over arbitrary fields. Function fields of quadrics have been central to the proofs of fundamental results since the renewal of the theory by Pfister in the 1960's. Recently, more refined geometric tools have been brought to bear on this topic, such as Chow groups and motives, and have produced remarkable advances on a number of outstanding problems. Several aspects of these new methods are addressed in this volume, which includes - an introduction to motives of quadrics by Alexander Vishik, with various applications, notably to the splitting patterns of quadratic forms under base field extensions; - papers by Oleg Izhboldin and Nikita Karpenko on Chow groups of quadrics and their stable birational equivalence, with application to the construction of fields which carry anisotropic quadratic forms of dimension 9, but none of higher dimension; - a contribution in French by Bruno Kahn which lays out a general fra...
This study empirically evaluated the effectiveness of the instructional design, learning tools, and role of the teacher in three versions of a semester-long, high-school remedial Algebra I course to determine what impact self-regulated learning skills and learning pattern training have on students' self-regulation, math achievement, and…
Much research has been conducted on how elementary students develop mathematical understanding and subsequently how teachers might use this information. This article builds on this type of work by investigating how one high-school algebra teacher designs and conducts a lesson on exponential functions. Through a lesson study format she studies with…
Li, Zhenheng; Steinberg, Benjamin; Wang, Qiang
This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Lex Renner and Mohan Putcha, the pioneers of the field of algebraic monoids. Topics presented include: v structure and representation theory of reductive algebraic monoids v monoid schemes and applications of monoids v monoids related to Lie theory v equivariant embeddings of algebraic groups v constructions and properties of monoids from algebraic combinatorics v endomorphism monoids induced from vector bundles v Hodge–Newton decompositions of reductive monoids A portion of these articles are designed to serve as a self-contained introduction to these topics, while the remaining contributions are research articles containing previously unpublished results, which are sure to become very influential for future work. Among these, for example, the important recent work of Michel Brion and Lex Renner showing that the algebraic semigroups are strongly π-regular. Graduate students as well a...
Poulsen, Eva Lykkegaard
The Danish government has an ambition to recruit more high school students into STEM edu-cations (science, technology, engineering and/or mathematics). The students’ choice of further education is based on the people and jobs they have knowledge of. Therefore, to recruit more students into STEM....... Some representatives transmit infor-mation and are thereby definers, whereas other representatives illustrates as personal examples and are thereby models. This study focuses on high school students’ views on STEM representatives and the impact these representatives have on the high school students...... studies, it is important to introduce high school students to good STEM representatives to make possible the development of potential STEM identities. A potential identity within a specific subject area relies on at least a situation bound relation-ship to the subject area or the person representing it...
Clarke, Laura S.; Embury, Dusty Columbia; Jones, Ruth E.; Yssel, Nina
Most schools have crisis plans to support student safety, but few plans address the complex needs of students with disabilities. School supports should include analysis of school plans and student strengths and needs to ensure that students with disabilities have the best opportunity to be safe in school crises. Recommendations include developing…
Bleidt, Shirley A.
School library usage and middle school students' perceptions of the usefulness of their school library were examined in this study. 1,509 predominately Hispanic students attending rural public schools participated by completing an online survey regarding their school libraries. The vast majority of students surveyed reported that they used their…
Earthman, Glen I.
This paper shows that the condition of school facilities has an important impact on student performance and teacher effectiveness. In particular, research demonstrates that comfortable classroom temperature and noise level are very important to efficient student performance. The age of school buildings is a useful proxy in this regard, since older facilities often have problems with thermal environment and noise level. A number of studies have measured overall building condition and its conne...
Smith, Dawn M.
The purpose of this study was to examine the relationship between scheduling and first-year-high-school students' exam scores on the South Carolina Algebra I End-of-Course (EOC) assessment. The study compared existing empirical data from two southeastern high schools from the same school district using 4 X 4 block schedules from 2011-2014 and…
Sahin, Seyma; Arseven, Zeynep; Kiliç, Abdurrahman
The aim of the study is to investigate the causes of student absenteeism and school dropouts at primary, secondary and high school level in Düzce Province and to develop suggestions for solving these problems. A "case study" design, which is one of the qualitative research approaches, was used in this study. The study group consisted of…
Taras, Howard; Potts-Datema, William
To review the state of research on the association between obesity among school-aged children and academic outcomes, the authors reviewed published studies investigating obesity, school performance, and rates of student absenteeism. A table with brief descriptions of each study's research methodology and outcomes is included. Research demonstrates…
Thijs, Jochem; Verkuijten, Maykel
Background and aims: School ethnic desegregation has been a topic of strong societal and educational concern. Research has examined the effects of ethnic school composition on students' interethnic relations with diverging outcomes and sometimes inconsistent results. In this review paper, we provide
O'Malley, Patrick M; Johnston, Lloyd D; Delva, Jorge; Bachman, Jerald G; Schulenberg, John E
Body mass index (BMI) is known to vary by individual characteristics, but little is known about whether BMI varies by school and by school characteristics. Nationally representative samples of United States schools and students are used to determine the extent to which BMI and percent of students at or above the 85th percentile of BMI vary by school and by school characteristics. Data from the 1991-2004 Monitoring the Future (MTF) study were analyzed in 2006 and 2007. A relatively small proportion of variance in BMI lies between schools; intraclass correlations are on the order of 3%. Still, this is sufficient variation to provide very different environments for students attending schools that are low versus high in average BMI. There is some modest variation by school type (public, Catholic private, non-Catholic private); school size (number of students in the sampled grade); region of the country; and population density. There is more variation as a function of school socioeconomic status (SES) and racial/ethnic composition of the school. School SES in particular was negatively associated with BMI levels, even after controlling individual-level SES and racial/ethnic status. The residual differences in BMI by school suggest that some characteristic of the school and/or community environment--perhaps cultural factors or peer role modeling or differences in school food, beverage, or physical education policies--facilitate obesity in schools with a high concentration of lower socioeconomic students, beyond individual-level factors.
Kilic, Abdullah Faruk; Güzeller, Cem Oktay
This study aimed at determining the impact of demographic factors on the Internet usage purposes of high school students. The population of the study consisted of students between 9th and 12th grades from the Anatolian high schools, science high schools, social sciences high schools, sports high schools and fine arts high schools in Turkey. The…
The study examined estimated effects of school mobility on students' academic and behaviouiral outcomes. Based on data for 2,560 public schools from the School Survey on Crime and Safety (SSOCS) 2007-2008, the findings indicate that high schools, urban schools, and schools serving a total student population of more than 50 percent minority…
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…
Does working during the school year result in lowered perceptions of school climate and connectedness for middle school students? According to outcomes from a Rocky Mountain Region School District's (RMRSD) school climate survey, 20% of their middle school student population works during the school year. Existing literature on youth employment…
Flammger, Dawne M.
This study compared the satisfaction levels of 40 adult nontraditional students (N=40) attending one of three types of postsecondary institutions: (1) a proprietary school, (2) a community college, and (3) a university. A survey was administered to such students enrolled in the Travel and Tourism programs at Bryant and Stratton Business Institute…
Alder, Nora I.; Moulton, Margaret R.
A year-long interpretive study, framed by the theory of symbolic interactionism, examined the meanings of care to middle school students. Five themes emerged: care as control, equality, forgiveness, concern, and good teaching. Findings indicated not only some agreement between students and teachers on meanings and symbolic acts of care, but also…
Angert, Betsy L.
School shootings have been in the news of late. People ponder what occurs in classrooms today. Why would a young person wish to take a life? Within educational institutions, the killings are a concern. In our dire attempt to teach the children and ensure student success, it seems many of our offspring are lost. Some students feel separate from…
This study assessed student perceptions of school meals under the new federal meal patterns for the National School Lunch Program (NSLP). Student feedback is instrumental in developing strategies to increase and maintain NSLP participation, satisfaction, and ultimately provide students with a health...
Taqiyuddin, Muhammad; Sumiaty, Encum; Jupri, Al
Linear inequality is one of fundamental subjects within junior high school mathematics curricula. Several studies have been conducted to asses students' perform on linear inequality. However, it can hardly be found that linear inequality problems are in the form of "ax + b condition leads to the research questions concerning students' attempt on solving a simple linear inequality problem in this form. In order to do so, the written test was administered to 58 students from two schools in Bandung followed by interviews. The other sources of the data are from teachers' interview and mathematics books used by students. After that, the constant comparative method was used to analyse the data. The result shows that the majority approached the question by doing algebraic operations. Interestingly, most of them did it incorrectly. In contrast, algebraic operations were correctly used by some of them. Moreover, the others performed expected-numbers solution, rewriting the question, translating the inequality into words, and blank answer. Furthermore, we found that there is no one who was conscious of the existence of all-numbers solution. It was found that this condition is reasonably due to how little the learning components concern about why a procedure of solving a linear inequality works and possibilities of linear inequality solution.
The present book, on Smarandache linear algebra, not only studies the Smarandache analogues of linear algebra and its applications, it also aims to bridge the need for new research topics pertaining to linear algebra, purely in the algebraic sense. We have introduced Smarandache semilinear algebra, Smarandache bilinear algebra and Smarandache anti-linear algebra and their fuzzy equivalents. Moreover, in this book, we have brought out the study of linear algebra and vector spaces over finite p...
Walkington, Candace; Sherman, Milan; Petrosino, Anthony
This study critically examines a key justification used by educational stakeholders for placing mathematics in context--the idea that contextualization provides students with access to mathematical ideas. We present interviews of 24 ninth grade students from a low-performing urban school solving algebra story problems, some of which were…
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.)
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…
Abdullah Faruk Kılıç; Cem Oktay Güzeller
This study aimed at determining the impact of demographic factors on the Internet usage purposes of high school students. The population of the study consisted of students between 9th and 12th grades from the Anatolian high schools, science high schools, social sciences high schools, sports high schools and fine arts high schools in Turkey. The sample was chosen through the stratified and cluster sampling procedure. The students were chosen randomly depending on the regions of their school at...
Sonja Pečjak; Nataša Bucik
Reading motivation is one of the crucial factors of reading and consequently also learning efficiency of students. The purpose of the contribution is to establish the connection between dimensions of reading motivation and reading achievement in elementary school students. Participating in the study were 1073 third-grade and 1282 seventh-grade students. We used the questionnaire of reading motivation which consists of two factors: the reading competence factor and the interest and perceived r...
Martin, Leisa A.
In the United States, the main mission of social studies education is to prepare students for citizenship. With this in mind, the following study examined 191 high school students’ views on how they demonstrated citizenship. Traditionally with this age group, personally responsible citizenship has been a common form of self-reported citizenship engagement. However, in this study, the students seemed to conceptualize citizenship differently. With the Akwesasne Mohawk students, the European Ame...
Ishizuka, Ryo; Tan, Nobuaki; Sato, Shoma; Zeze, Syoji
The result and outcome of the cloud chamber project, which aims to develop a cloud chamber useful for science education is reported in detail. A project includes both three high school students and a teacher as a part of Super Science High School (SSH) program in our school. We develop a dry-ice-free cloud chamber using salt and ice (or snow). Technical details of the chamber are described. We also argue how the project have affected student's cognition, motivation, academic skills and behavior. The research project has taken steps of professional researchers, i.e., in planning research, applying fund, writing a paper and giving a talk in conferences. From interviews with students, we have learnt that such style of scientific activity is very effective in promoting student's motivation for learning science.
Opdenakker, M.C.; van Damme, J
This study examined effects of school context, student composition and school leadership on school practice and outcomes in secondary education in Flanders. The study reveals that relations between school characteristics do exist and that it is possible to explain an important part of the
The present paper, based on an ethnographic study of a government school and a low-cost private school in Andhra Pradesh, India, argues that the students of a government school and a private school have two different worlds and are socialised differently. As children progress from childhood to adolescence, the transition is accompanied by…
Wadsworth, A R
This is a book of problems in abstract algebra for strong undergraduates or beginning graduate students. It can be used as a supplement to a course or for self-study. The book provides more variety and more challenging problems than are found in most algebra textbooks. It is intended for students wanting to enrich their learning of mathematics by tackling problems that take some thought and effort to solve. The book contains problems on groups (including the Sylow Theorems, solvable groups, presentation of groups by generators and relations, and structure and duality for finite abelian groups); rings (including basic ideal theory and factorization in integral domains and Gauss's Theorem); linear algebra (emphasizing linear transformations, including canonical forms); and fields (including Galois theory). Hints to many problems are also included.
Blyth, T S
Basic Linear Algebra is a text for first year students leading from concrete examples to abstract theorems, via tutorial-type exercises. More exercises (of the kind a student may expect in examination papers) are grouped at the end of each section. The book covers the most important basics of any first course on linear algebra, explaining the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations and complex numbers. Linear equations are treated via Hermite normal forms which provides a successful and concrete explanation of the notion of linear independence. Another important highlight is the connection between linear mappings and matrices leading to the change of basis theorem which opens the door to the notion of similarity. This new and revised edition features additional exercises and coverage of Cramer's rule (omitted from the first edition). However, it is the new, extra chapter on computer assistance that will be of particular interest to readers:...
This text presents six mini-courses, all devoted to interactions between representation theory of algebras, homological algebra, and the new ever-expanding theory of cluster algebras. The interplay between the topics discussed in this text will continue to grow and this collection of courses stands as a partial testimony to this new development. The courses are useful for any mathematician who would like to learn more about this rapidly developing field; the primary aim is to engage graduate students and young researchers. Prerequisites include knowledge of some noncommutative algebra or homological algebra. Homological algebra has always been considered as one of the main tools in the study of finite-dimensional algebras. The strong relationship with cluster algebras is more recent and has quickly established itself as one of the important highlights of today’s mathematical landscape. This connection has been fruitful to both areas—representation theory provides a categorification of cluster algebras, wh...
School-aged children spend a great deal of time inside school buildings. Parents can play an important role in creating healthy indoor school environments. Parents and students alike can make a powerful case for protecting health in schools.
Adu-Gyamfi, Kwaku; Bossé, Michael J.; Chandler, Kayla
When establishing connections among representations of associated mathematical concepts, students encounter different difficulties and successes along the way. The purpose of this study was to uncover information about and gain greater insight into how student processes connections. Pre-calculus students were observed and interviewed while…
Jupri, Al; Drijvers, Paul; van den Heuvel-Panhuizen, Marja
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…
Sutherland, Scot M.; White, Tobin F.
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…
Wade, Kathleen Kiley; Stafford, Mary E.
Examined the relationship between public school uniforms and student self-worth and student and staff perceptions of gang presence and school climate. Surveys of middle school students and teachers indicated that although students' perceptions did not vary across uniform policy, teachers from schools with uniform policies perceived lower levels of…
Full Text Available The main purpose of this study is to portray career orientation of Senior High School (SMA and Vocational High School (SMK students and the role that school counselors should play in providing vocational guidance. This study used a survey method involving 278 students from both SMA and SMK di Jakarta. Career Orientation Inventory (COI and Counselor Role in Career Guidance Inventory were used as an instrument of data collection. Descriptive statistics and t-test were conducted to analyze the data. The findings of the study reveal that majority of SMA and SMK students wanted to further their study to university and only small number of them wanted to find out jobs or run their own business. The findings also show that school counselors play a very important role in providing vocational guidance services for senior secondary students. Therefore, in order for students to have a bright career in future, school counselors should improve the quality of vocational guidance services and plan comprehensive vocational guidance programs.
Powell, Sarah R.; Fuchs, Lynn S.
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
College Algebra, Second Edition is a comprehensive presentation of the fundamental concepts and techniques of algebra. The book incorporates some improvements from the previous edition to provide a better learning experience. It provides sufficient materials for use in the study of college algebra. It contains chapters that are devoted to various mathematical concepts, such as the real number system, the theory of polynomial equations, exponential and logarithmic functions, and the geometric definition of each conic section. Progress checks, warnings, and features are inserted. Every chapter c
Full Text Available This column draws on research of Eon Harper to demonstrate how an understanding of his proposed stages of algebra acquisition would inform a systemic overhaul of algebra education. Harper's stages also explain why students may pass a series of algebra courses yet still be unable to make sense of calculus, as well as offering insight on what aspects of algebra support quantitative literacy.
Successful teachers make successful schools. Yet some schools are better than others at accelerating student learning by developing and keeping great teachers, even compared to schools that serve the same population of students and have access to the same resources. These schools are called "greenhouse schools"--schools with carefully…
Successful teachers make successful schools. Yet some schools are better than others at accelerating student learning by developing and keeping great teachers, even compared to schools that serve the same population of students and have access to the same resources. These schools are called "greenhouse schools"--schools with carefully fostered…
Data from a large school district in the southwestern United States were analyzed to investigate relations between student and school characteristics and high school freshman dropout patterns. Application of a multilevel logistic regression model to student dropout data revealed evidence of school-to-school differences in student dropout rates and…
Poulsen, Eva Lykkegaard
’ potential identities. It shows that the students preferred STEM representatives resembled themselves in some aspects (primarily social and health aspects) and fit their perceptions of a typical person working in STEM in other aspects (knowledge seeking, hard-working etc.). At least two different...... studies, it is important to introduce high school students to good STEM representatives to make possible the development of potential STEM identities. A potential identity within a specific subject area relies on at least a situation bound relation-ship to the subject area or the person representing it....... Some representatives transmit infor-mation and are thereby definers, whereas other representatives illustrates as personal examples and are thereby models. This study focuses on high school students’ views on STEM representatives and the impact these representatives have on the high school students...
GENERAL I ARTICLE. The Work of Lagrange in Number Theory and Algebra. D P Patil, C R Pranesachar and Renuka RafJindran. (left) D P Patil got his Ph.D from the School of Math- ematics, TIFR and joined. IISc in 1992. His interests are commutative algebra, algebraic geometry and algebraic number theory. (right) C R ...
Muggeo, Michela A; Ginsburg, Golda S
Anxiety disorders are common in youth. Because somatic complaints are a hallmark feature of anxiety, these students frequently visit their school nurse, creating an ideal opportunity for nurses to identify and assist them. In an effort to better understand current practices, we surveyed a large sample ( N = 93) of school nurses. Results indicated that the majority of nurses perceived anxiety as the most prevalent mental health issue in their students. Moreover, the majority of nurses reported that they did not use any formal screening tool or intervention protocol and stated wanting to expand their training in anxiety intervention. These data suggest that school nurses identify anxiety as a top problem but do not receive adequate training to address it. Data from this survey may be used to plan how best to fill gaps in nurse training and practices that can enhance nurses' capacity to optimize outcomes for anxious students.
Bouck, Emily C.; Weng, Pei-Lin; Satsangi, Rajiv
Introduction: Digital textbooks are increasingly marketed and used, yet little research examines this medium. Within the limited research, even less investigates the role of digital textbooks in mathematics--a challenging content area for many students, but especially for students with visual impairments. Methods: Through a qualitative analysis,…
Novak, Melissa A.
The purpose of this qualitative practitioner research study was to describe middle school algebra students' experiences of learning linear functions through kinesthetic movement. Participants were comprised of 8th grade algebra students. Practitioner research was used because I wanted to improve my teaching so students will have more success in…
Going to law school to get a law degree has become a little like going to an ice-cream parlor for a scoop of vanilla. Plenty of people still do it, but many schools' brochures--like the elaborate flavor-and-topping menus on ice-cream parlor walls--now tempt them with something different, something more. Law students can have their "juris doctor"…
Designed to make learning introductory algebraic geometry as easy as possible, this text is intended for advanced undergraduates and graduate students who have taken a one-year course in algebra and are familiar with complex analysis. This newly updated second edition enhances the original treatment's extensive use of concrete examples and exercises with numerous figures that have been specially redrawn in Adobe Illustrator. An introductory chapter that focuses on examples of curves is followed by a more rigorous and careful look at plane curves. Subsequent chapters explore commutative ring th
REA, Editors of
REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Algebra & Trigonometry I includes sets and set operations, number systems and fundamental algebraic laws and operations, exponents and radicals, polynomials and rational expressions, eq
Get all you need to know with Super Reviews! Each Super Review is packed with in-depth, student-friendly topic reviews that fully explain everything about the subject. The Algebra and Trigonometry Super Review includes sets and set operations, number systems and fundamental algebraic laws and operations, exponents and radicals, polynomials and rational expressions, equations, linear equations and systems of linear equations, inequalities, relations and functions, quadratic equations, equations of higher order, ratios, proportions, and variations. Take the Super Review quizzes to see how much y
Linear Algebra Thoroughly Explained provides a comprehensive introduction to the subject suitable for adoption as a self-contained text for courses at undergraduate and postgraduate level. The clear and comprehensive presentation of the basic theory is illustrated throughout with an abundance of worked examples. The book is written for teachers and students of linear algebra at all levels and across mathematics and the applied sciences, particularly physics and engineering. It will also be an invaluable addition to research libraries as a comprehensive resource book for the subject.
This study examined school library services and satisfaction of students in the Federal Government Girls College Owerri, Imo State. The Survey method was adopted for the study and the population of study was 2756, out of which a sample of 281 was drawn. Two sets of questionnaire (one for management staff and one for ...
The purpose of this study was to determine if participation in science dual enrollment courses influenced African American high school students' post-secondary aspirations that will lead to college attendance. The investigation examined the relationship between African American students' learning experiences and how their self-efficacy and outcome expectations impact their goal setting. The goal was to determine the impact of the following variables on African American students' plan to pursue a bachelor's or advanced degree: (a) STEM exposure, (b) Algebra 1 achievement, (c) level of science class, and (d) receiving science college credit for dual enrollment course. The social cognitive career theory framed this body of research to explore how career and academic interests mature, are developed, and are translated into action. Science dual enrollment participation is a strategy for addressing the lack of African American presence in the STEM fields. The causal comparative ex post facto research design was used in this quantitative study. The researcher performed the Kruskal-Wallis non-parametric analysis of variance and Pearson's chi-square tests to analyze secondary data from the High School Longitudinal Study first follow-up student questionnaire. The results indicate that STEM exposure and early success in Algebra 1 have a statistically significant impact on African American students' ambition to pursue a bachelor's or advanced degree. According to the Pearson's chi-square and independent sample Kruskal-Wallis analyses, level of students' science class and receiving college credit for dual enrollment do not significantly influence African American students' postsecondary aspirations.
Linear algebra is a basic mathematical subject taught in mathematics and science depar-tments of universities. The teaching and learning of this course has always been difficult. This study aims to contribute to the research in linear algebra education, focusing on linear dependence and independence concepts. This was done by introducing…
Hauk, Shandy; Powers, Robert A.; Segalla, Angelo
College algebra fulfills general education requirements at many colleges in the United States. The study reported here investigated differences in mathematics achievement between undergraduates in college algebra classes using one of two homework methods: "WeBWorK," an open-source system for web-based homework, or traditional…
Dash, Rajani Ballav
FUNDAMENTALS OF LINEAR ALGEBRA is a comprehensive Text Book, which can be used by students and teachers of All Indian Universities. The Text has easy, understandable form and covers all topics of UGC Curriculum. There are lots of worked out examples which helps the students in solving the problems without anybody's help. The Problem sets have been designed keeping in view of the questions asked in different examinations.
This volume contains the lectures presented at the third Regional Geometry Institute at Park City in 1993. The lectures provide an introduction to the subject, complex algebraic geometry, making the book suitable as a text for second- and third-year graduate students. The book deals with topics in algebraic geometry where one can reach the level of current research while starting with the basics. Topics covered include the theory of surfaces from the viewpoint of recent higher-dimensional developments, providing an excellent introduction to more advanced topics such as the minimal model program. Also included is an introduction to Hodge theory and intersection homology based on the simple topological ideas of Lefschetz and an overview of the recent interactions between algebraic geometry and theoretical physics, which involve mirror symmetry and string theory.
Olver, Peter J
This textbook develops the essential tools of linear algebra, with the goal of imparting technique alongside contextual understanding. Applications go hand-in-hand with theory, each reinforcing and explaining the other. This approach encourages students to develop not only the technical proficiency needed to go on to further study, but an appreciation for when, why, and how the tools of linear algebra can be used across modern applied mathematics. Providing an extensive treatment of essential topics such as Gaussian elimination, inner products and norms, and eigenvalues and singular values, this text can be used for an in-depth first course, or an application-driven second course in linear algebra. In this second edition, applications have been updated and expanded to include numerical methods, dynamical systems, data analysis, and signal processing, while the pedagogical flow of the core material has been improved. Throughout, the text emphasizes the conceptual connections between each application and the un...
This book presents the first concepts of the topics in algebraic topology such as the general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces and singular homology theory in greater detail. Originally published in 2003, this book has become one of the seminal books. Now, in the completely revised and enlarged edition, the book discusses the rapidly developing field of algebraic topology. Targeted to undergraduate and graduate students of mathematics, the prerequisite for this book is minimal knowledge of linear algebra, group theory and topological spaces. The book discusses about the relevant concepts and ideas in a very lucid manner, providing suitable motivations and illustrations. All relevant topics are covered, including the classical theorems like the Brouwer’s fixed point theorem, Lefschetz fixed point theorem, Borsuk-Ulam theorem, Brouwer’s separation theorem and the theorem on invariance of the domain. Most of the exercises are elementary, but sometimes chal...
Full Text Available Abstract Objectives This study examined associations between high school students' lunch patterns and vending machine purchases and the school food environment and policies. Methods A randomly selected sample of 1088 high school students from 20 schools completed surveys about their lunch practices and vending machine purchases. School food policies were assessed by principal and food director surveys. The number of vending machines and their hours of operation were assessed by trained research staff. Results Students at schools with open campus policies during lunchtime were significantly more likely to eat lunch at a fast food restaurant than students at schools with closed campus policies (0.7 days/week vs. 0.2 days/week, p Conclusion School food policies that decrease access to foods high in fats and sugars are associated with less frequent purchase of these items in school among high school students. Schools should examine their food-related policies and decrease access to foods that are low in nutrients and high in fats and sugars.
Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and graduate students in mathematics. The book is based on lectures given at the author's home institution, the Tata Institute in Bombay, and elsewhere. A detailed appendix on topology was provided in the first edition to make the treatment accessible to readers with a limited background in topology. The second edition also includes an appendix on algebraic geometry that contains the required definitions and results needed to understand the core of the book; this makes the book accessible to a wider audience. A central part of the book is a detailed exposition of the ideas of Quillen as contained in his classic papers "Higher Algebraic K-Theory, I, II." A more elementary proof of the theorem of Merkujev--Suslin is given in this edition; this makes the treatment of this topic self-contained. An application ...
Gilberto Chavarría Arroyo
Full Text Available The current article presents the results of a study that aimed to analyze the difficulties faced by eighth grade students when learning to solve algebraic problems based on linear equations with one unknown variable. The participants were learners with low average performance in mathematics at a high school in Heredia. The research followed a naturalistic paradigm and the case study method with a qualitative approach. Different techniques like class observations, questionnaires to students, non-structured interviews to teachers and interviews to the learners were applied. The research helped to identify the main causes of difficulty when learning to solve algebraic problems. Some of the causes that were identified are affective aspects, lack of previous knowledge, poor relational understanding, fatigue, diversion, reading deficiencies and misunderstanding of terminology.
Hone, A N W; Ragnisco, Orlando; Zullo, Federico
We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for rational maps, to algebraic maps (or correspondences) of a certain kind. The corresponding entropy is an index of the complexity of the map. The definition inherits the basic properties from the definition of entropy for rational maps. We give an example with positive entropy, as well as two examples taken from the theory of Bäcklund transformations. (letter)
ary school students in Ibadan, Nigeria and the prevalence's association with some socio-demographic variables. Methods: Participants were adolescent students from 15 secondary schools in Ibadan. Data was ..... Applied Ergonomics 1987;.
Aerts, Saskia; Van Houtte, Mieke; Dewaele, Alexis; Cox, Nele; Vincke, John
This study focuses on the school motivation of LGB (lesbian, gay, and bisexual) students in Flanders, the northern part of Belgium, a fairly LGB-friendly country. The authors hypothesize that LGB students in Flemish secondary schools are less motivated for school than heterosexual students because they experience less sense of school belonging and…
This study aims to investigate students' perceptions about democratic school climate and sense of community in school. In line with this purpose, it aims to find answers to the following questions: How democratic do students find the school climate? What is students' sense of belonging level at school? What is the academic success level of…
McEwan, Patrick J.
The report examines whether increasing competition from charter schools has a causal effect on the achievement of public school students in New York City, using a three-year longitudinal database of student test scores. As a measure of competition, it considers the percentage of students who left a public school for a charter school in the prior…
Many Iraqi refugee students in the United States suffer from posttraumatic stress disorder (PTSD) as well as acculturation stresses. These stresses often create challenges for their integration into U.S. schools. The project explored risk factors such as the length of educational gaps in transit, PTSD, and separation and marginalization…
SMOKING HABITS AMONG SECONDARY SCHOOL STUDENTS IN SELECTED DISTRICTS IN ZIMBABWE. ... Journal of Child and Adolescent Mental Health ... Objective To examine the relationship between smoking habits and indicators of socioeconomic status, the urban/rural dimension and gender among secondary ...
Full Text Available Introduction: The aim of the study was to assess the level of awareness of smoking and non smoking students on harmful impact of nicotine and cigarette smoke on human body. Material and methods: The study was carried out in March 2011 in high schools in Szczecin. Own elaborated questionnaire was used. 288 students from high school, technical college and vocational school were tested. Results: The majority of responders (95,1% claimed that cigarette smoke is harmful both for passive and active smokers. They most often pinpoint the direct cause connected with smoking to pulmonary diseases (264 persons and cancers (240 persons. Almost 90% of students found negative impact of tobacco products on development of fetus of pregnant women. Overwhelming majority of respondents (83,2% feels anxious if it comes to stay in a room filled with smoke. Conclusions: The awareness of high school students on negative influence of smoking on human body is quite satisfactory, but there is still a need for more education in the range of diseases and symptoms connected with smoking.
Tribble, Paul; Mitchell, William A.
The authors suggest ways in which the gravity model can be used in high school geography classes. Based on Newton's Law of Molecular Gravitation, the law states that gravitation is in direct ratio to mass and inverse ratio to distance. One activity for students involves determination of zones of influence of cities of various sizes. (Author/AV)
Saglam, Murat; Millar, Robin
Although electromagnetism is an important component of upper secondary school physics syllabuses in many countries, there has been relatively little research on students' understanding of the topic. A written test consisting of 16 diagnostic questions was developed and used to survey the understanding of electromagnetism of upper secondary school…
Holm, Kristiina; Nokelainen, Petri; Tirri, Kirsi
The aim of this study was to assess the self-evaluations of Finnish secondary school students' (N?=?549) interreligious sensitivity. The data were collected from 12-16-year-old young people with a 15-item Interreligious Sensitivity Scale Questionnaire (IRRSSQ). The IRRSSQ is based on Abu-Nimer's Developmental Model of Interreligious Sensitivity,…
Rulloda, Rudolfo Barcena
Many classroom teachers are still using the traditional teaching methods. The traditional teaching methods are one-way learning process, where teachers would introduce subject contents such as language arts, English, mathematics, science, and reading separately. However, the school improvement model takes into account that all students have…
Anderson, Lorin W.
This paper argues that schools need to help students acquire knowledge and skills for two purposes: (1) to function effectively in a variety of contexts (including work) as they presently exist, and (2) to adapt to changing situations in the future. Effective functioning in the present requires a common body of knowledge, including mathematics,…
Heck, A.; van Dongen, C.
Human walking is a complicated motion. Movement scientists have developed various research methods to study gait. This article describes how a high school student collected and analysed high quality gait data in much the same way that movement scientists do, via the recording and measurement of
The study adopted a quasi-experimental design using a pre-test, post-test control design in order to investigate the entrepreneurial skills and creative abilities of secondary school students in Physics. The study was carried out in Obio/Akpo Local Government Area of Rivers State of Nigeria, using purposive sampling ...
Cañadas, María C.; Molina, Marta; del Río, Aurora
Some errors in the learning of algebra suggest that students might have difficulties giving meaning to algebraic symbolism. In this paper, we use problem posing to analyze the students' capacity to assign meaning to algebraic symbolism and the difficulties that students encounter in this process, depending on the characteristics of the algebraic…
Promotoras, Hispanic community health workers, are frequently employed to promote health behavioral change with culturally bound Hispanic lifestyle behaviors. Peer health mentors have been used in schools to promote healthy nutrition and physical activity behaviors among students. This study investi...
Shafarevich, Igor Rostislavovich
Shafarevich Basic Algebraic Geometry 2 The second edition of Shafarevich's introduction to algebraic geometry is in two volumes. The second volume covers schemes and complex manifolds, generalisations in two different directions of the affine and projective varieties that form the material of the first volume. Two notable additions in this second edition are the section on moduli spaces and representable functors, motivated by a discussion of the Hilbert scheme, and the section on Kähler geometry. The book ends with a historical sketch discussing the origins of algebraic geometry. From the Zentralblatt review of this volume: "... one can only respectfully repeat what has been said about the first part of the book (...): a great textbook, written by one of the leading algebraic geometers and teachers himself, has been reworked and updated. As a result the author's standard textbook on algebraic geometry has become even more important and valuable. Students, teachers, and active researchers using methods of al...
Sanchez, Jafeth E.; Yoxsimer, Andrew; Hill, George C.
This study investigated public middle school students' opinions on the benefits of wearing a school uniform. A review of related literature is provided along with results of the opinions obtained from 604 seventh- and eighth-grade middle school students attending a public school in Nevada that had recently initiated a school uniform policy.…
Assuah, Charles K.
Oral communication in mathematics classroom plays an essential role in the mathematics learning process, because it allows students to share ideas, refine their thoughts, reflect on their methods, and clarify their understanding (NCTM, 2000). Knowledge about teacher oral communication behaviors allows researchers and policy makers to identify and…
Murphy, Julia; Chang, Jen-Mei; Suaray, Kagba
Flipped learning is gaining traction in K-12 for enhancing students' problem-solving skills at an early age; however, there is relatively little large-scale research showing its effectiveness in promoting better learning outcomes in higher education, especially in mathematics classes. In this study, we examined the data compiled from both…
This study was undertaken to underscore the extent the variables of school location, students' gender and school section can predict the rate of drop out of secondary school students. Ex post facto design was adopted and all data on students' enrollment, retention and completion were collected from available schools' records for two cohorts of…
A case study of a high school student concerned with weight problems illustrates multimodal behavior therapy and its use in a high school setting. Multimodal therapy allows the school counselor to maximize referral sources while emphasizing growth and actualization. (JAC)
Mukkamala, Sambasiva Rao
This book presents a unified course in BE-algebras with a comprehensive introduction, general theoretical basis and several examples. It introduces the general theoretical basis of BE-algebras, adopting a credible style to offer students a conceptual understanding of the subject. BE-algebras are important tools for certain investigations in algebraic logic, because they can be considered as fragments of any propositional logic containing a logical connective implication and the constant "1", which is considered as the logical value “true”. Primarily aimed at graduate and postgraduate students of mathematics, it also helps researchers and mathematicians to build a strong foundation in applied abstract algebra. Presenting insights into some of the abstract thinking that constitutes modern abstract algebra, it provides a transition from elementary topics to advanced topics in BE-algebras. With abundant examples and exercises arranged after each section, it offers readers a comprehensive, easy-to-follow int...
This study examines high school students' attitudes toward mathematics and analyzes whether there were differences in attitude and its source that could be attributed to gender, class level, type of school, mathematics success, whether the students received preschool education, families' income level, and high school student's place of living.…
Student perceptions of school engagement (i.e., sense of connection to school, teachers and peers), motivation to learn, self-esteem, and student safety are part of a range of public accountability indicators. This study examined differences between two groups of Senior Secondary three (SS III) students from public school ...
Tupper, Jennifer A.; Carson, Terry; Johnson, Ingrid; Mangat, Jyoti
This study explored how high school students negotiate school spaces beyond the classroom within a broader context of citizenship education and identity construction. Using visual hermeneutics, researchers worked over three years with students and staff in a large, diverse, urban, public high school. Through student-produced photographs of school…
Plasman, Jay Stratte
Student engagement in education is key to ensuring successful learning. Engagement becomes crucial as students progress through high school and transition into young adulthood; however, engaging them in high school can be an arduous task. A career/education plan can help students make strong connections between their work in high school and their…
White, Marie M.; Grimes, Lee Edmondson
Multiracial students represent a growing population in school systems today. This diverse group of students and their families may encounter many challenges and race-specific issues in the school setting. School counselors are in a unique position to assist these students and their families to become successful in meeting these challenges. The…
Motivation is critical in English learning of middle school,thus,how to effectively motivate students in English learning is an important problem.This study intends to find ways to motivate students of middle school.Self-report data were collected from 45 students in The Experiment Middle School Attached to Yunnan Normal University by using a close-ended questionnaire.
Ratner, Helene Gad
, the primary school’s annual national test was changed to better align with PISA’s scale of assessment. With the new test, PISA becomes more than a means for comparison between different (EU) countries as the ‘Danish’ data links up to PISA data. The paper explores how ‘Europeanised’ national test data......EU uses the OECD’s Programme for International Student Assessment (PISA) to assemble and govern the different member states’ student populations (Nóvoa and Lord, 2002; Grek, 2009). This paper explores how ‘Europe-building’ occurs through PISA-affected Danish governmental data practices. In 2015...... inwards, tracking a temporal movement within each individual. This resonates a shift in EU policy from ‘education’ to ‘learning’ (Ozga et al, 2011). The conception of the population has also changed. A big data analysis concluded that students’ national test results can predict their PISA performance...
Mehta, Sharmila B; Cornell, Dewey; Fan, Xitao; Gregory, Anne
Many authorities agree that bullying has a widespread impact on school climate, affecting bystanders as well as victims. This study tested the contention that a climate of bullying can have a schoolwide impact on student engagement in school. Hierarchical linear modeling assessed the relations between student perception of bullying climate and student engagement at the individual and school level in a statewide sample of 7058 ninth graders randomly selected from 289 schools participating in the Virginia High School Safety Study. Student engagement was assessed by self-report scales measuring commitment to school and involvement in school activities. Individual differences in perception of school climate characterized by bullying were associated with lower commitment to school, but not less involvement in school activities. School-level differences in student perceptions of bullying climate were associated with both lower commitment to school and less involvement in school activities, after controlling for the effects of gender, race, school size, proportion of ethnic minority students in the school, and individual-level perception of bullying climate. Efforts to improve student engagement should consider the schoolwide impact of bullying on all students. © 2013, American School Health Association.
A metropolitan school district wanted to understand blended learning as it existed in one of their high schools. Blended learning had been school-wide for four years, and district administrators wanted to know how students, teachers, and school administrators perceived blended learning and its impact on student engagement. This was a…
Ariani, Mohsen Ghasemi; Mirdad, Fatemeh
The present study aims at exploring the influence of school design on student performance. The participants consisted of 150 students who studied at two Iranian public school and private school in Mashhad City. School Design and Planning Laboratory (SDPL) model of Georgia University (and Tanner (2009)) was used as an appraisal indicator of school…
Most of New Jersey's charter schools are located in the state's poorer, urban school districts, or "Abbott" districts, and exclusively serve students from those communities. A number of other schools are located outside of the Abbott districts but enroll students from these districts. Specifically, of the 50 charter schools operating in…
Button, Brenton; Trites, Stephen; Janssen, Ian
The physical and social environments at schools are related to students' moderate-to-vigorous physical activity (MVPA) levels. The purpose of this study was to explore the interactive effects of the school physical environment and school social capital on the MVPA of students while at school. Data from 18,875 grade 6-10 students from 331 schools who participated in the 2009/10 Canadian Health Behaviour in School-Aged Children survey were analyzed using multi-level regression. Students answered questions on the amount of time they spend in MVPA at school and on their school's social capital. Administrator reports were used to create a physical activity related physical environment score. The school physical environment score was positively associated with student MVPA at school (β = 0.040, p < .005). The association between the school social capital and MVPA was also positive (β = 0.074, p < .001). The difference in physical environments equated to about 20 minutes/week of MVPA for students attending schools with the lowest number of physical environment features and about 40 minutes/week for students attending schools with the lowest school social capital scores by comparison to students attending schools with the highest scores. The findings suggest that school social capital may be a more important factor in increasing students MVPA than the school physical environment. The results of this study may help inform interventions aimed at increasing student physical activity levels.
The implementation of a new computer algebra system is time consuming: designers of general purpose algebra systems usually say it takes about 50 man-years to create a mature and fully functional system. Hence the range of available systems and their capabilities changes little between one general relativity meeting and the next, despite which there have been significant changes in the period since the last report. The introductory remarks aim to give a brief survey of capabilities of the principal available systems and highlight one or two trends. The reference to the most recent full survey of computer algebra in relativity and brief descriptions of the Maple, REDUCE and SHEEP and other applications are given. (author)
Lie group theory, developed by M. Sophus Lie in the 19th century, ranks among the more important developments in modern mathematics. Lie algebras comprise a significant part of Lie group theory and are being actively studied today. This book, by Professor Nathan Jacobson of Yale, is the definitive treatment of the subject and can be used as a textbook for graduate courses.Chapter I introduces basic concepts that are necessary for an understanding of structure theory, while the following three chapters present the theory itself: solvable and nilpotent Lie algebras, Carlan's criterion and its
A classic text and standard reference for a generation, this volume and its companion are the work of an expert algebraist who taught at Yale for two decades. Nathan Jacobson's books possess a conceptual and theoretical orientation, and in addition to their value as classroom texts, they serve as valuable references.Volume I explores all of the topics typically covered in undergraduate courses, including the rudiments of set theory, group theory, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. Its comprehensive treatment extends to such rigorous topics as L
DeWolf, Melissa; Bassok, Miriam; Holyoak, Keith J
To understand the development of mathematical cognition and to improve instructional practices, it is critical to identify early predictors of difficulty in learning complex mathematical topics such as algebra. Recent work has shown that performance with fractions on a number line estimation task predicts algebra performance, whereas performance with whole numbers on similar estimation tasks does not. We sought to distinguish more specific precursors to algebra by measuring multiple aspects of knowledge about rational numbers. Because fractions are the first numbers that are relational expressions to which students are exposed, we investigated how understanding the relational bipartite format (a/b) of fractions might connect to later algebra performance. We presented middle school students with a battery of tests designed to measure relational understanding of fractions, procedural knowledge of fractions, and placement of fractions, decimals, and whole numbers onto number lines as well as algebra performance. Multiple regression analyses revealed that the best predictors of algebra performance were measures of relational fraction knowledge and ability to place decimals (not fractions or whole numbers) onto number lines. These findings suggest that at least two specific components of knowledge about rational numbers--relational understanding (best captured by fractions) and grasp of unidimensional magnitude (best captured by decimals)--can be linked to early success with algebraic expressions. Copyright © 2015 Elsevier Inc. All rights reserved.
Givant, Steven R
The foundation for an algebraic theory of binary relations was laid by De Morgan, Peirce, and Schröder during the second half of the nineteenth century. Modern development of the subject as a theory of abstract algebras, called "relation algebras", was undertaken by Tarski and his students. This book aims to analyze the structure of relation algebras that are generated by relativized subalgebras. As examples of their potential for applications, the main results are used to establish representation theorems for classes of relation algebras and to prove existence and uniqueness theorems for simple closures (i.e., for minimal simple algebras containing a given family of relation algebras as relativized subalgebras). This book is well written and accessible to those who are not specialists in this area. In particular, it contains two introductory chapters on the arithmetic and the algebraic theory of relation algebras. This book is suitable for use in graduate courses on algebras of binary relations or algebraic...
Schiffer, Max M.
This publication contains a sequence of lectures given to high school mathematics teachers by the author. Applications of mathematics emphasized are elementary algebra, geometry, and matrix algebra. Included are: (1) an introduction concerning teaching applications of mathematics; (2) Chapter 1: Mechanics for the High School Student; (3) Chapter…
Romano-Soares, Soraia; Soares, Aparecido José Couto; Cárnio, Maria Silvia
Promotion of a written narratives production program in the third grade of an Elementary School. To analyze two written narrative practice proposals in order to verify which resources are more efficient in benefitting the textual productions of third grade Elementary School students. Sixty students were selected from two third grade groups of a public Elementary School in São Paulo (Brazil). For the analysis, students were divided into two groups (Group A and Group B). Fourteen children's storybooks were used. In Group A, the story was orally told by the researchers in a colloquial manner, keeping the narrator role and the original structure proposed by the author. In Group B, the story was fully read. The book was projected onto a screen and read aloud so the students could follow the reading and observe the corresponding illustrations. Voice changing resources in the characters' dialogues were used. In the overall comparison, statistically significant results were found for moment (initial and final assessments) and for interaction between groups. It was observed that both groups presented substantial development from initial to final assessment. The Written Narratives Promotion Program based on the shared reading of children's storybooks constituted a more effective strategy than telling the stories using a single reader.
The High-School Students Internship Programme (HSSIP is a programme developed by the ECO group’s Teacher and Student Programmes section to engage students from a young age with scientific research and innovation. Norway was selected as one out of five countries for the pilot programmes run in 2017. Out of some 150 applications, 10 boys and 14 girls, from Longyearbyen (Svalbard) in the North to Flekkefjord in the South, were invited to participate in the Norwegian programme that took place from 15 October - 28 October. The youngsters were offered an intense two-week internship at CERN, during which they took part in many diverse activities. Accompanied by mentors, the students got a deeper insight into how CERN supports particle physics by working on their own projects and through a variety of visits.
This article reports on the planning, implementation and evaluation of an intervention to improve school students' experience of using the school toilet in a primary school in Melbourne, Australia. 20 students from grades 2-6 participated in focus groups, to discuss what they valued about the school and raise awareness of issues they were not happy about. A common theme from all of the focus groups was that students reported avoiding use of the school toilets. Using the ideas generated from the focus groups, the student council (with input from staff), developed a self-administered pre- and post-test questionnaire. This was given to 220 students in grades 1-4, aged 6-10 years. Improvements suggested by the students were made to the toilet block, and then a post-test was administered. Independent t tests were conducted. The pre-test indicated that 71% of girls and 65% of boys feared the behaviour of other students in the toilet. Overwhelmingly, the qualitative comments focused on poor student behaviour in the toilets, with lack of privacy due to student misbehaviour mentioned in 90% of the comments. After the toilets were revamped, the greatest gains were made in students' attitudes toward the toilets, with a 37% increase in students who indicated they now liked the toilet facility. Incidents of vandalism also decreased; however, student misconduct in the toilets was still regarded as a problem. Involving students in refurbishing their toilets improved how students viewed the toilets and reduced vandalism; however, a different intervention is required to change inappropriate behaviours in the toilet.
Reilly, Norman R
This upper-level undergraduate textbook provides a modern view of algebra with an eye to new applications that have arisen in recent years. A rigorous introduction to basic number theory, rings, fields, polynomial theory, groups, algebraic geometry and elliptic curves prepares students for exploring their practical applications related to storing, securing, retrieving and communicating information in the electronic world. It will serve as a textbook for an undergraduate course in algebra with a strong emphasis on applications. The book offers a brief introduction to elementary number theory as
Snow, James W; Shapiro, Arnold
Study Guide for College Algebra is a supplemental material for the basic text, College Algebra. Its purpose is to make the learning of college algebra and trigonometry easier and enjoyable.The book provides detailed solutions to exercises found in the text. Students are encouraged to use the study guide as a learning tool during the duration of the course, a reviewer prior to an exam, a reference book, and as a quick overview before studying a section of the text. The Study Guide and Solutions Manual consists of four major components: basic concepts that should be learned from each unit, what
Kolman, Bernard; Levitan, Michael L
Test Bank for College Algebra, Second Edition is a supplementary material for the text, College Algebra, Second Edition. The book is intended for use by mathematics teachers.The book contains standard tests for each chapter in the textbook. Each set of test aims to evaluate the level of understanding the student has achieved during the course. The answers for each chapter test and the final exam are found at the end of the book.Mathematics teachers teaching college algebra will find the book very useful.
tion - 6. How Architectural Features Affect. Building During Earthquakes? C VRMurty. 48 Turbulence and Dispersion. K 5 Gandhi. BOOK REVIEWS. 86 Algebraic Topology. Siddhartha Gadgil. Front Cover. - .. ..-.......... -. Back Cover. Two-dimensional vertical section through a turbulent plume. (Courtesy: G S Shat, CAOS, IISc.).
Deligne, Mumford and Artin [DM, Ar2]) and consider algebraic stacks, then we can cons- truct the 'moduli ... the moduli scheme and the moduli stack of vector bundles. First I will give ... 1–31. © Printed in India. 1 ...... Cultura, Spain. References.
Quintanilla, John A.
Exploration with spreadsheets and reliance on previous skills can lead students to determine the line of best fit. To perform linear regression on a set of data, students in Algebra 2 (or, in principle, Algebra 1) do not have to settle for using the mysterious "black box" of their graphing calculators (or other classroom technologies).…
McMaster, Kirby; Sambasivam, Samuel; Hadfield, Steven; Wolthuis, Stuart
In this paper, we describe how database instructors can teach Relational Algebra and Structured Query Language together through programming. Students write query programs consisting of sequences of Relational Algebra operations vs. Structured Query Language SELECT statements. The query programs can then be run interactively, allowing students to…
The way in which students can improve their comprehension by understanding the geometrical meaning of algebraic equations or solving algebraic equation geometrically is described. Students can experiment with the conditions of the absolute value equation presented, for an interesting way to form an overall understanding of the concept.
Dunn, Michelle E.; Katsiyannis, Antonis; Ryan, Joseph B.
As of the 2013-2014 school year, about 2.5 million school-age students attended charter schools nationwide. Because charter schools are publicly funded entities, they are required to adhere to all federal nondiscriminatory laws as well as the Individuals With Disabilities Education Act. This legal brief provides an overview of charter schools,…
Zientek, Linda Reichwein; Younes, Rayya; Nimon, Kim; Mittag, Kathleen Cage; Taylor, Sharon
Improving the mathematical skills of the next generation of students will require that elementary and middle school teachers are competent and confident in their abilities to perform fraction operations and to solve algebra equations The present study was conducted to (a) quantify relationships between prospective teachers' abilities to perform…
Matsumoto, Paul S.
The article describes the use of Mathematica, a computer algebra system (CAS), in a high school chemistry course. Mathematica was used to generate a graph, where a slider controls the value of parameter(s) in the equation; thus, students can visualize the effect of the parameter(s) on the behavior of the system. Also, Mathematica can show the…
都, 基鳳; 全, 宰一; 野島, 一彦; Do, Giebong; Jun, Jaeil; Nojima, Kazuhiko
The purpose of this study is to prepare effective measures to successfully cope with school violence by examining student experiences of school violence and its causes. The participants were middle school students in Korea. An investigation was made into how male and female students are different from each other in patterns of violence experienced or committed and the causes of that violence. The results are as follows: 1) Students who were victims of school violence suffered more than those ...
Ines Lovenjak; Cirila Peklaj
The aim of our research was to determine the relationships between experiencing stress, coping strategies, coping self-efficacy and primary school students' school satisfaction. We were also interested in the predictive power of these variables on school satisfaction. A total of 512 students from the seventh, eighth and ninth grades participated in this study and the results show that primary school students which are feeling stressed are less satisfied with school. There is a negative correl...
The prevalence of cyberbullying among teenagers even children has increased in recent years. While bullying defines like repeated and deliberate aggressive behaviours among people have imbalance of power, cyberbullying refers to bullying via electronic communication tools. Some researchers assert that teenagers who are living psychosocial maladjustment incline to be a cyberbully/ cybervictim. In this study, cyberbully/cybervictim behaviours of middle school students were investigated in rela...
Full Text Available Nattapong Buddhabunyakan, Srinaree Kaewrudee, Chompilas Chongsomchai, Sukree Soontrapa, Woraluk Somboonporn, Jen Sothornwit Department of Obstetrics and Gynaecology, Faculty of Medicine, Khon Kaen University, Khon Kaen, Thailand Background: Premenstrual syndrome (PMS is a common health problem among adolescents.Objective: To assess the prevalence of PMS in Thai high school students.Materials and methods: This was a prospective study conducted among menstruating high school students in Khon Kaen, Thailand, from September to December, 2015. Participants were asked to prospectively complete an anonymous questionnaire, which included information about demographic data, menstrual patterns, and symptoms to be recorded on a daily calendar of premenstrual experiences according to the diagnostic criteria proposed by the American College of Obstetricians and Gynecologists. All of the data were prospectively recorded for 90 consecutive days.Results: Of the 399 participants, 289 (72.4% completed the self-report questionnaire. Eighty-six participants (29.8%; 95% CI, 24.5%–35.4% reported having PMS. The most common somatic and affective symptoms among participants with PMS were breast tenderness (74.4% and angry outbursts (97.7%. There were significant differences between the PMS and non-PMS groups, and PMS was associated with various problems related to educational activities, including lack of concentration and motivation, poor individual work performance, poor collaborative work performance, and low scores. However, there were no significant differences regarding interpersonal relationships between the PMS and non-PMS groups.Conclusions: PMS is a common menstrual disorder among Thai high school students. The most common symptoms reported in this study were angry outbursts and breast tenderness. Keywords: premenstrual symptoms, prevalence, association, high school students
One of the basic components of algebraic thinking is functional thinking. Functional thinking involves focusing on the relationship between two (or more) varying quantities and such thinking facilitates the studies on both algebra and the notion of function. The development of functional thinking of students should start in the early grades and it…
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®,…
REA, Editors of
REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Algebra & Trigonometry II includes logarithms, sequences and series, permutations, combinations and probability, vectors, matrices, determinants and systems of equations, mathematica
Lutfiyya, Lutfi A
REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Modern Algebra includes set theory, operations, relations, basic properties of the integers, group theory, and ring theory.
Gürbüz Ocak; İjlal Ocak; Emine A. Baysal
The purpose of this study is to find out the causes of high school students’ absenteeism. Survey method was used. The population was comprised of 531 students in the public high schools. The data was collected with "The Scale of Absenteeism Causes" developed by the researchers. Cronbach Alpha was calculated as α=0.936. Findings show the causes of students' absenteeism aren't related to school, students themselves and their parent, however, student absenteeism causes partly psychological reaso...
Gives an introduction to the theory of function algebras. This book gives the general concepts of the Universal Algebra in order to familiarize the reader from the beginning on with the algebraic side of function algebras. It is a source on function algebras for students and researchers in mathematical logic and theoretical computer science.
Gadea, P M
A famous Swiss professor gave a student’s course in Basel on Riemann surfaces. After a couple of lectures, a student asked him, “Professor, you have as yet not given an exact de nition of a Riemann surface.” The professor answered, “With Riemann surfaces, the main thing is to UNDERSTAND them, not to de ne them.” The student’s objection was reasonable. From a formal viewpoint, it is of course necessary to start as soon as possible with strict de nitions, but the professor’s - swer also has a substantial background. The pure de nition of a Riemann surface— as a complex 1-dimensional complex analytic manifold—contributes little to a true understanding. It takes a long time to really be familiar with what a Riemann s- face is. This example is typical for the objects of global analysis—manifolds with str- tures. There are complex concrete de nitions but these do not automatically explain what they really are, what we can do with them, which operations they really admit, how rigid they are. Henc...
Kwong, Darren; Davis, Jonathan Ryan
This multilevel study examined the relationship between school climate and academic achievement. Using the Educational Longitudinal Survey (ELS, 2002), and a sample of 16,258 students and 1954 schools nationwide, we found that student-level perception of school climate--especially the student learning environment--was highly predictive of academic…
Eres, Figen; Bilasa, Pinar
The aim of this research is to measure the perception of middle school students in Ankara regarding the quality of school life. According to the findings obtained, the students have moderate level perceptions about the quality of school life. Their perceptions about sub-dimensions vary. While the students have the highest perceptions about…
Bosworth, Kris; Ford, Lysbeth; Hernandaz, Diley
To ensure that schools are safe places where students can learn, researchers and educators must understand student and faculty safety concerns. This study examines student and teacher perceptions of school safety. Twenty-two focus groups with students and faculty were conducted in 11 secondary schools. Schools were selected from a stratified sample to vary in location, proximity to Indian reservations, size, and type. The data analysis was based on grounded theory. In 9 of 11 schools, neither faculty nor students voiced overwhelming concerns about safety. When asked what makes school safe, students tended to report physical security features. School climate and staff actions also increased feelings of safety. Faculty reported that relationships and climate are key factors in making schools safe. High student performance on standardized tests does not buffer students from unsafe behavior, nor does living in a dangerous neighborhood necessarily lead to more drug use or violence within school walls. School climate seemed to explain the difference between schools in which students and faculty reported higher versus lower levels of violence and alcohol and other drug use. The findings raise provocative questions about school safety and provide insight into elements that lead to perceptions of safety. Some schools have transcended issues of location and neighborhood to provide an environment perceived as safe. Further study of those schools could provide insights for policy makers, program planners, and educational leaders. © 2011, American School Health Association.
Roč. 136, č. 4 (2008), s. 1285-1294 ISSN 0002-9939 R&D Projects: GA AV ČR IAA100190509 Institutional research plan: CEZ:AV0Z10190503 Keywords : Von - Neumann * sequential topology * Boolean-algebras * Souslins problem * Submeasures Subject RIV: BA - General Mathematics Impact factor: 0.584, year: 2008
Fernando AT; Samaranayake CB; Blank CJ; Roberts G; Arroll B
INTRODUCTION: Adolescents are known to have high risk factors for sleep disorders, yet the youth rates of sleep disturbances are unknown. AIM: This study aimed to determine the prevalence of sleep disorders among New Zealand high school students. METHODS: The Auckland Sleep Questionnaire (ASQ) was administered to high school students at six schools in the North Island. Schools were chosen to reflect a range of ethnicities and school deciles, which identify the socioeconomic status of househol...
Isshiki, Yuriko; Morimoto, Kanehisa
To examine the relationship between lifestyles and psychosomatic symptoms in children, we conducted a self-administered questionnaire survey of elementary school students and junior high school students in Japan. We designed an original questionnaire to investigate the lifestyles and psychosomatic symptoms of children. In 1997, responses to the questionnaires were elicited from public elementary school fourth grade students (then aged 9-10) and public junior high school seventh grade students (then aged 12-13). The survey was repeated annually for three years as the students advanced through school. For both boys and girls, each cross-sectional analysis revealed a strong relationship between lifestyle behaviors and psychosomatic symptoms. Psychosomatic, symptoms scores varied according to daily hours of sleep, eating of breakfast, having strong likes and dislikes of food, bowel habits, and daily hours of television watching. Both boys and girls with "good" lifestyle, behaviors evaluated by the HPI (Health Practice Index) showed lower scores for psychosomatic symptoms. These findings show that the lifestyle behaviors of children are significantly associated with psychosomatic symptoms and suggest that poor lifestyle behaviors are likely to increase physical and psychological health risks.
Bobkowski, Piotr S.; Goodman, Mark; Bowen, Candace Perkins
This study provides an up-to-date counting of student media in U.S. public high schools. The analysis underscores the importance of school demographic characteristics in predicting whether schools offer student media. The disparities identified here should inform how journalism schools, scholastic journalism organizations, funding agencies, and…
La Salle, Tamika P.; Zabek, Faith; Meyers, Joel
School climate has increasingly been recognized as an essential component of school improvement owing to the established associations between a positive school climate and academic outcomes for students. Our study examines associations among a brief measure of school climate assessing elementary student perceptions and the College and Career Ready…
Cullen, Karen Weber; Thompson, Deborah I.; Watson, Kathleen B.
Purpose/Objective: Providing a school breakfast to students may be a practical intervention that improves energy balance, nutrient intake, and school academic achievement variables. This purpose of this pilot study was to identify the ecological factors influencing middle school student school breakfast participation and possible strategies to…
Feigin, B.; Kyoto Univ.; Frenkel, E.
We define a quantum W-algebra associated to sl N as an associative algebra depending on two parameters. For special values of the parameters, this algebra becomes the ordinary W-algebra of sl N , or the q-deformed classical W-algebra of sl N . We construct free field realizations of the quantum W-algebras and the screening currents. We also point out some interesting elliptic structures arising in these algebras. In particular, we show that the screening currents satisfy elliptic analogues of the Drinfeld relations in U q (n). (orig.)
Mohammad, N.; Siddiqui, A.H.
The notion of a 2-Banach algebra is introduced and its structure is studied. After a short discussion of some fundamental properties of bivectors and tensor product, several classical results of Banach algebras are extended to the 2-Banach algebra case. A condition under which a 2-Banach algebra becomes a Banach algebra is obtained and the relation between algebra of bivectors and 2-normed algebra is discussed. 11 refs
Full Text Available In recent years, there has been an increasing amount of literature on student engagement with school. There is a large agreement on the predictive role that individual differences in student engagement with school plays in relation to a wide range of educational outcomes and to general adjustment. Numerous empirical studies have attempted to explain how individual characteristics of students (e.g., gender, academic motivation, school-related self-efficacy etc., family environment (e.g., parent social support, aspirations of parents concerning the adolescents’ school trajectory or quality of adolescent-parents relationship, and the school/classroom climate (e.g., social support from teachers and peers, autonomy granted to students, quality of instructional practices etc. impact student engagement with school and the academic achievement/performance. This paper summarizes the existing literature on antecedents and positive outcomes of student engagement with school. The implications for educational practice and policy makers are discussed.
These notes, based on three lectures on operator algebras and topology at the 'School on High Dimensional Manifold Theory' at the ICTP in Trieste, introduce a new set of tools to high dimensional manifold theory, namely techniques coming from the theory of operator algebras, in particular C*-algebras. These are extensively studied in their own right. We will focus on the basic definitions and properties, and on their relevance to the geometry and topology of manifolds. A central pillar of work in the theory of C*-algebras is the Baum-Connes conjecture. This is an isomorphism conjecture, as discussed in the talks of Luck, but with a certain special flavor. Nevertheless, it has important direct applications to the topology of manifolds, it implies e.g. the Novikov conjecture. In the first chapter, the Baum-Connes conjecture will be explained and put into our context. Another application of the Baum-Connes conjecture is to the positive scalar curvature question. This will be discussed by Stephan Stolz. It implies the so-called 'stable Gromov-Lawson-Rosenberg conjecture'. The unstable version of this conjecture said that, given a closed spin manifold M, a certain obstruction, living in a certain (topological) K-theory group, vanishes if and only M admits a Riemannian metric with positive scalar curvature. It turns out that this is wrong, and counterexamples will be presented in the second chapter. The third chapter introduces another set of invariants, also using operator algebra techniques, namely L 2 -cohomology, L 2 -Betti numbers and other L 2 -invariants. These invariants, their basic properties, and the central questions about them, are introduced in the third chapter. (author)
Mulligan, Jeffrey B.
A color algebra refers to a system for computing sums and products of colors, analogous to additive and subtractive color mixtures. The difficulty addressed here is the fact that, because of metamerism, we cannot know with certainty the spectrum that produced a particular color solely on the basis of sensory data. Knowledge of the spectrum is not required to compute additive mixture of colors, but is critical for subtractive (multiplicative) mixture. Therefore, we cannot predict with certainty the multiplicative interactions between colors based solely on sensory data. There are two potential applications of a color algebra: first, to aid modeling phenomena of human visual perception, such as color constancy and transparency; and, second, to provide better models of the interactions of lights and surfaces for computer graphics rendering.
Gyoja, A; Shinoda, K-I; Shoji, T; Tanisaki, Toshiyuki
Invited articles by top notch expertsFocus is on topics in representation theory of algebraic groups and quantum groupsOf interest to graduate students and researchers in representation theory, group theory, algebraic geometry, quantum theory and math physics
Plaspohl, Sara S.; Dixon, Betty T.; Streater, James A.; Hausauer, Elizabeth T.; Newman, Christopher P.; Vogel, Robert L.
Literature provides evidence that school attendance correlates with academic performance and student success. Influenza is a contributing factor to school absences. Primary prevention for influenza includes immunization. School-located influenza vaccine (SLIV) programs provide greater access for students to be immunized. A retrospective review of…
Summach, Anne H. J.
School nurses are involved in a complex framework of interactions with students, other professionals, parents, and administrators. Trust between nurse and student is critical for interaction effectiveness. The goal of this study was to understand through phenomenology the process of engendering trust in school nurse-high school student…
Spillane, Nancy K.; Lynch, Sharon J.; Ford, Michael R.
The authors report on a study of eight inclusive STEM high schools that are designed to increase the numbers of students in demographic groups underrepresented in STEM. As STEM schools, they have had broader and deeper STEM coursework (taken by all students) than required by their respective states and school districts; they also had outcome…
Yildiz, Sevda Göktepe; Özdemir, Ahmet Sükrü
The purpose of this study was to develop a test to determine spatial ability of middle school students. The participants were 704 middle school students (6th, 7th and 8th grade) who were studying at different schools from Istanbul. Item analysis, exploratory and confirmatory factor analysis, reliability analysis were used to analyse the data.…
This study examined the effects of corporal punishment on student outcomes in rural schools by analyzing 1,067 samples from the School Survey on Crime and Safety 2007-2008. Results of descriptive statistics and multivariate regression analyses indicated that schools with corporal punishment may decrease students' violent behaviors and…
Cumming, John M.; Gloeckner, Gene W.
After interviewing homeless high school students, the research team in a Colorado school district discovered that many students had not revealed their true living conditions (homelessness) to anyone in the school district. This research team developed an anonymous survey written around the homeless categories identified in the McKinney-Vento…
Gates, Peter J.; Norberg, Melissa M.; Dillon, Paul; Manocha, Ramesh
Cannabis is the most frequently used illicit drug by Australian secondary school students yet there is scant research investigating school staff responses to student cannabis use. As such, this study surveyed 1,692 school staff who attended "Generation Next" seminars throughout Australia. The self-complete survey identified that the…
In this article we present the prototype of a workshop on naive set theory designed for high school students in or around the seventh year of primary education. Our concept is based on two events which the author organized in 2006 and 2010 for students of elementary school and high school, respectively. The article also includes a practice report…
of girls' education in Science subjects, as it exists in Ghana with reference to J.S.S. pupils' attitude to Science. Using a stratified random sample of junior secondary school students from public and private schools, the study investigated the attitudes of junior secondary school students towards the study of science. Data were ...
Tasgin, Adnan; Tunc, Yunus
The aim of this study is to examine the relationship between the secondary school students' level of effective participation and their motivation. This study employs a survey consisting of 251 secondary school students from the schools located in Igdir and Erzurum, in East of Turkey. The data of the study were gathered through "Effective…
In the present study, the internet addiction status of high school senior students in Yesilyurt county of Malatya was analyzed and examined in terms of gender variable. The study population consisted of 3442 senior students who were studying at 37 high schools in state schools in Yesilyurt County of the city of Malatya in 2016-2017 academic year.…
Orozco, Steven R.
Aggressive students often struggle in multiple domains of their school functioning and are at increased risk for high school dropout. Research has identified a variety of warning flags which are strong predictors of high school dropout. While it is known that aggressive students exhibit many of these warning flags, there is little research which…
Silvernail, David L.; Sloan, James E.; Paul, Chelsea R.; Johnson, Amy F.; Stump, Erika K.
The goal of this study was to examine the relationships between school level poverty found in Maine schools and student academic performance. The evidence clearly shows that there is a relationship. As the percent of poverty increases in a school, student performance declines. But the poverty level alone does not explain the wide variations in…
Baldwin, Gordon B.
Issues in students' First Amendment rights are discussed in this paper, which is directed toward school board members. The "Tinker v. Des Moines Independent Schools" (1969) decision is discussed, in which the United States Supreme Court struck down the discipline imposed on students who wore black armbands during school hours to protest…
Preus, Betty; Payne, Rachel; Wick, Carly; Glomski, Emily
This study examines why a group of students representing two high schools became involved in an activist organization, the benefits they gained as a result, the impact they had on their school and community, and their recommendations for how school personnel can foster civic engagement in young people. The student-led group campaigned for a school…
Threatening student web sites raise complex legal questions for schools. According to "Tinker v. Des Moines (1969), students' First Amendment rights must be abridged to ensure an orderly school environment. Recent litigation, educator rights, American Civil Liberties Union interventions, and legally defensible strategies for schools are…
The first three chapters of these lecture notes are devoted to generalities concerning current algebra. The weak currents are defined, and their main properties given (V-A hypothesis, conserved vector current, selection rules, partially conserved axial current,...). The SU (3) x SU (3) algebra of Gell-Mann is introduced, and the general properties of the non-leptonic weak Hamiltonian are discussed. Chapters 4 to 9 are devoted to some important applications of the algebra. First one proves the Adler- Weisberger formula, in two different ways, by either the infinite momentum frame, or the near-by singularities method. In the others chapters, the latter method is the only one used. The following topics are successively dealt with: semi leptonic decays of K mesons and hyperons, Kroll- Ruderman theorem, non leptonic decays of K mesons and hyperons ( ΔI = 1/2 rule), low energy theorems concerning processes with emission (or absorption) of a pion or a photon, super-convergence sum rules, and finally, neutrino reactions. (author) [fr
Pedersen, Jeff; Yager, Stuart; Yager, Robert
This study focuses on the understandings educators developed from two schools concerning how distributed leadership involving a select group of students affected the climate and community of their schools. Findings suggest that student-led leadership roles within the school community have an impact on creating a positive school-wide climate; a…
林, 光緒; 堀, 忠雄
A survey was performed on 466 high school students and 403 university students. 86% of high school students and 89% of university students estimated their customary sleep time to be 6-8 hours. Although there was no significant difference between high school students and university students with awake time, bed time was later for university students than high school students. So that sleep time was shorter for university students. Also there was more regular sleepers for high school students a...
Lopez-Boada, Roberto; Daire, Sandra Arguelles
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…
As more primary and secondary students worldwide seek after-school tutoring in academic subjects, concerns are being raised about whether after-school tutoring can raise average test scores without widening the variability in student performance, and whether students of certain ability levels may benefit more than others from after-school…
The number of applied behavior analysis (ABA) classrooms for students with autism is increasing in K-12 public schools. To inform instruction of students with autism in public school settings, this study examined the relation between performance on mastery learning assessments and standardized achievement tests for students with autism spectrum…
The purpose of this study was to determine open primary education school students' opinions about mathematics television programmes. This study indicated that to determine differences among open primary education school students' opinions about mathematics television programmes point of view students' characteristics like gender, age, grade,…
Emmiyati, Nuri; Rasyid, Muhammad Amin; Rahman, M. Asfah; Arsyad, Azhar; Dirawan, Gufran Darma
This study aimed to investigate the Multiple Intelligences profiles of the students at junior secondary school in Makassar. The Multiple Intelligences Inventory was used to identify the dominant intelligence among the students. The sample of this research was 302 junior secondary schools students in Makassar Indonesia who willing to participated…
Sahin, Nurettin; Ekli, Emel
The present study investigates awareness, factual knowledge, opinions, and risk perceptions of students from Turkish middle schools with regard to nanotechnology in a very general sense. The study was carried out among 1,396 middle school 6th, 7th, and 8th grade students. The students' perceptions of and opinions about nanotechnology were elicited…
This research was conducted to reveal the metaphors of Secondary school students about "earthquake" concept. About 105 students in two schools in Karabuk city centre participated in the research within 2009-2010 academic year. The research Data were obtained by students' completing the statement "Earthquake is like...,…
Remillard, Heather A.
The purpose of this study was to explore cooperative learning and the impact on middle school students overall academic achievement. The study included 47 students from a small private school, ranging from grades sixth through eighth. The researcher examined student perception of cooperative learning, implementation process and the overall impact…
Cao, Ying; Brizuela, Bárbara M.
This study investigates the representations and understandings of electric fields expressed by Chinese high school students 15 to 16 years old who have not received high school level physics instruction. The physics education research literature has reported students' conceptions of electric fields post-instruction as indicated by students'…
This study aims to develop a feasible instrument for determining middle school students' motivation to learn technology in South Korea. The authors translated Glynn's motivational instrument and modified it to measure Korean middle school students' motivation to learn technology. The instrument was applied to 441 students of grade 8 and 9 from six…
Malinauskas, Romualdas K.; Juodsnukis, Dalius R.
Research aim was to analyze peculiarities of education of social responsibility among football sports school students. We hypothesized that after the educational program sport school students will have more developed social responsibility. The total sample comprised 52 male students. Experimental group consisted of 26 and the control group of 26…
Hallinan, Maureen T.; Kubitschek, Warren N.; Liu, Ge
Communally organized, as opposed to bureaucratically organized, schools are expected to provide significant advantages to students in terms of their cognitive and social growth. However, for students to avail themselves of these benefits, they need to experience school as a community. One factor that may influence whether students view their…
Kloss, Thomas E.
Teacher turnover remains an important issue in education. The least researched perspectives, though, are those of the students who experience teacher turnover. The purpose of this study was to examine how high school band students experience teacher turnover. A total of twelve students were interviewed, representing three schools that experienced…
Herges, Rebecca M.; Duffield, Stacy; Martin, William; Wageman, Justin
Mathematics achievement among K-12 students has been a long-standing concern in schools across the United States. A possible solution to this mathematics achievement problem is student motivation. A survey was administered to 65 mathematics students at a Midwestern middle school to determine their beliefs and attitudes related to motivation and…
Cartier, Sylvie C.; Langevin, Louise; Robert, Josianne
This study was conducted in Quebec with 608 students (aged 16-19) in four "second chance" schools of the greater Montreal area. The objectives were twofold: (a) to identify the strategies of these students in the context of five learning activities; and (b) to compare the strategies of students who had withdrawn from school after their…
Some legal cases on the freedom of speech in adolescent public school students are discussed. It is suggested that schools, social scientists and psychologists should build a social consensus on the extent to which the freedom of speech for abusive students can be allowed so as not to affect development of other students.
This study investigated the effect of family type on Secondary School students\\' performance in physics in Ilorin metropolis. The sample comprised one hundred Senior Secondary II students from four schools in Ilorin metropolis. The instrument for the study titled \\"Effect of Family type on Students\\' Performance in Physics ...
Thacker, Jerry L.
Describes a study of an Indiana magnet school's effects on student achievement. The school has a diverse student body and offers programs in foreign languages and cultures, economics, politics, history, ecology, and social systems. On the Comprehensive Test of Basic Skills, the group of 560 students performed significantly better than they had…
The concept of F-algebra and its representation can be extended to an arbitrary bundle. We define operations of fibered F-algebra in fiber. The paper presents the representation theory of of fibered F-algebra as well as a comparison of representation of F-algebra and of representation of fibered F-algebra.
Full Text Available Reading motivation is one of the crucial factors of reading and consequently also learning efficiency of students. The purpose of the contribution is to establish the connection between dimensions of reading motivation and reading achievement in elementary school students. Participating in the study were 1073 third-grade and 1282 seventh-grade students. We used the questionnaire of reading motivation which consists of two factors: the reading competence factor and the interest and perceived reading importance factor. The findings of the study are the following: third-graders are more competent and more interested in reading compared to seventh-graders. The same is true for girls in both educational levels. Reading competence , interest and perceived reading importance reflect also in the actual reading behaviour of students – students who are more competent and more interested in reading read more frequently, for longer periods and more often autonomously decide to read compared to their less motivated peers. Higher reading motivation has implications also for higher reading efficiency. Namely, good readers are more competent, show higher interest and perceive reading as more important compared to average and bad readers.
Hackenberg, Amy J.; Lee, Mi Yeon
To understand relationships between students' quantitative reasoning with fractions and their algebraic reasoning, a clinical interview study was conducted with 18 middle and high school students. The study included six students with each of three different multiplicative concepts, which are based on how students create and coordinate composite…
Wolfe, Linda C.
This paper presents findings from a quantitative, correlational study that examined selected school nursing services, student academic outcomes, and school demographics. Ex post facto data from the 2011-2012 school year of Delaware public schools were used in the research. The selected variables were school nurse interventions provided to students…
Drost, Amy Linden
This study examined predictors of school and life satisfaction of fifth-grade students. Two situational predictor variables (school climate and school stress) and two intrapersonal predictor variables (locus of control and academic self-concept) were examined. It was hypothesized that positive school climate, low levels of school stress, internal…
Beland, Louis-Philippe; Kim, Dongwoo
We analyze how fatal shootings in high schools affect schools and students using data from shooting databases, school report cards, and the Common Core of Data. We examine schools' test scores, enrollment, number of teachers, graduation, attendance, and suspension rates at schools that experienced a shooting, employing a difference-in-differences…
Yang, Chunyan; Sharkey, Jill D; Reed, Lauren A; Chen, Chun; Dowdy, Erin
Bullying is the most common form of school violence and is associated with a range of negative outcomes, including traumatic responses. This study used hierarchical linear modeling to examine the multilevel moderating effects of school climate and school level (i.e., elementary, middle, and high schools) on the association between bullying victimization and student engagement. Participants included 25,896 students in 4th to 12th grades from 114 schools. Results indicated that, after controlling for student and school demographic factors, positive school climate was associated with higher behavioral/cognitive and emotional engagement of students across all grades. This highlights the critical and fundamental role of positive school climate in bullying prevention and intervention, among students across all grade levels, including those with frequent bullying victimization experience. Results also showed that negative associations between student-level bullying victimization and engagement were intensified in more positive school climates. This finding suggests that, in comparison with students in schools with less positive school climates, the engagement of bullying victims in schools with a more positive school climate might be more negatively influenced by their victimization experience. Additionally, the relation between student-level bullying victimization and emotional engagement was significantly different across middle and high schools. (PsycINFO Database Record (c) 2018 APA, all rights reserved).
Baeuerle, G.G.A.; Kerf, E.A. de
The structure of the laws in physics is largely based on symmetries. This book is on Lie algebras, the mathematics of symmetry. It gives a thorough mathematical treatment of finite dimensional Lie algebras and Kac-Moody algebras. Concepts such as Cartan matrix, root system, Serre's construction are carefully introduced. Although the book can be read by an undergraduate with only an elementary knowledge of linear algebra, the book will also be of use to the experienced researcher. Experience has shown that students who followed the lectures are well-prepared to take on research in the realms of string-theory, conformal field-theory and integrable systems. 48 refs.; 66 figs.; 3 tabs
Musaiger, A O; Matter, A M; Alekri, S A; Mahdi, A R
The aim of this study is to estimate the prevalence of obesity and factors associated with it in Bahraini secondary school students. A cross-sectional study involving a sample of 825 students (417 boys and 408 girls) aged 15 to 21 years was obtained from secondary schools. Obesity was determined using body mass index (BMI = Wt/Ht2). The findings revealed that 15.6% of boys and 17.4% of girls were either overweight or obese (BMI > or = 25). Family size, parents education, and family history of obesity were significantly associated with obesity among boys, while family history was the only socio-economic factors statistically associated with obesity among girls. Meal patterns such as eating between meals, number of meals per day, and method of eating were not associated with obesity in students. Boys who ate alone were 3 times more likely to be obese than those who ate with family members (odd ratio = 3.4). Measures to prevent and control obesity among children are suggested.
Breitenbach, Edward C.
School safety is a very important issue for school staff, parents, and students. When school safety is lacking, students suffer in emotional, academic, and social areas. One recent intervention middle schools are examining is the student uniform policy. In some cases, school uniforms have been shown to have a profound effect on school safety,…
Wang, Feihong; Leary, Kevin A.; Taylor, Lorraine C.; Derosier, Melissa E.
We examined the effects of peer preference and teacher preference for students, students' perceived relationship with their teacher and student ethnicity on peer victimization in late elementary school. Participants were students in the third through fifth grades in four public elementary schools in a southern state. Using hierarchical linear…
Lu, Chow-Chin; Sung, Chia-Chi
In this research, we cooperate with senior high school teachers to understand current nanotechnology model of senior high school nanotechnology curriculum in Taiwan. Then design senior high school nanotechnology (nano-tech) curriculum to teach 503 senior high school students. After teaching the nano-tech curriculum we use the "Nanotechnology…
Hong, Jun Sung; Eamon, Mary Keegan
In the aftermath of several school shooting incidents in recent years, students' perceptions of unsafe schools has been a major concern for parents, teachers, school officials, school practitioners, and policy-makers. Using Bronfenbrenner's ecological systems framework, we examined the micro-, meso-, and exosystem level factors associated with…
Full Text Available The aim of this study was to investigate the distribution of immorality in attitudes of students towards school misbehaviour (codes of behaviour at school and whether the intensity of agreement with school misbehaviour is relative to student age. The research was conducted on the territory of Serbia and included 11 primary schools, 12 secondary schools and 2 faculties. The sample consisted of 1847 students (the gender was almost evenly distributed, who were administered the School Misbehaviour Scale. The scale showed a high reliability. We examined the following misbehaviours at school: attitudes towards exam cheating, truancy, answer whispering, falsifying school documents, rationalising violence towards teachers, bribery and corruption, school nepotism and general attitudes towards misbehaviour. The results showed that a great number of students agreed with school misbehaviour; exam cheating and answer whispering are the most common misbehaviours agreed with by students. Significant age differences in the agreement with school misbehaviour were established; the development line of approval of school misbehaviour is fairly equal for all types of school misbehaviour and shows that fourth grade students in primary school least approve of school misbehaviour, followed by sixth grade students. Seventh grade figures as the period when agreement with almost all types of school misbehaviour starts to increase. This is an upward and continuous trend during the eighth grade, as well as in the first and second grade of secondary school. In the third grade, agreement with misbehaviour starts to decrease and this trend continues through the fourth grade of secondary school and at the faculty.
Abdullah Faruk Kılıç
Full Text Available This study aimed at determining the impact of demographic factors on the Internet usage purposes of high school students. The population of the study consisted of students between 9th and 12th grades from the Anatolian high schools, science high schools, social sciences high schools, sports high schools and fine arts high schools in Turkey. The sample was chosen through the stratified and cluster sampling procedure. The students were chosen randomly depending on the regions of their school attendance. The sample for this research numbered 3170 students. The research was conducted in the second term of the 2014-2015 academic year. The data were obtained through online forms and the bases of participation are honesty, sincerity, and volunteerism. The data collection tool is a questionnaire and a demographic information form prepared by the researchers. Chi-square Automatic Interaction Detector (CHAID analysis was conducted through SPSS in order to determine the demographic factors affecting the purposes of internet usage among high school students. The results of this research show that 9th grade students in Turkey mostly use the Internet to do homework while students from other grades mostly use the Internet for social networking. The male students use the Internet for playing video games more frequently in comparison with female students. Also, socioeconomic status affects the purpose of Internet usage. Hence it is suggested that teachers talking to male students might use the examples of computers and games and with female students they might relate the topics to social media.
Jupri, Al; Sispiyati, R.
Structure sense, an intuitive ability towards symbolic expressions, including skills to interpret, to manipulate, and to perceive symbols in different roles, is considered as a key success in learning algebra. In this article, we report results of three phases of a case study on solving algebraic structure sense problems aiming at testing the appropriateness of algebraic structure sense tasks and at investigating expert strategies dealing with the tasks. First, we developed three tasks on quadratic equations based on the characteristics of structure sense for high school algebra. Next, we validated the tasks to seven experts. In the validation process, we requested these experts to solve each task using two different strategies. Finally, we analyzing expert solution strategies in the light of structure sense characteristics. We found that even if eventual expert strategies are in line with the characteristics of structure sense; some of their initial solution strategies used standard procedures which might pay less attention to algebraic structures. This finding suggests that experts have reconsidered their procedural work and have provided more efficient solution strategies. For further investigation, we consider to test the tasks to high school algebra students and to see whether they produce similar results as experts.
School of Public Health, University of the Limpopo. Sovenga, South Africa ... KEY WORDS: substance use, rural high school students, South Africa ... increased into the 1990s, these behaviours ..... Canada's Mental Health Supplement, 68,. 12.
Jupri, A.; Drijvers, P.H.M.; Van den Heuvel-Panhuizen, M.
The use of digital tools in algebra education is expected to not only contribute to master skill, but also to acquire conceptual understanding. The question is how digital tools affect students’ thinking and understanding. This paper presents an analysis of data of one group of three grade seventh
Damas, C; Saleiro, S; Marinho, A; Fernandes, G; Gomes, I
Smoking is an important health risk in general, and responsible for diseases with significant mortality and morbidity. Smoking habits start early and adolescence is a notorious time for starting smoking. To assess knowledge on smoking and smoking habits in a population of adolescents in four Porto schools, using a confidential self administered questionnaire. Collected data were evaluated using the SPSS 1.2 statistics program (2004 version). A total of 1,770 students aged 11 - 21 (median 15.1 years), mainly female, (58%), answered. Most students (n=952, 54.6%) were unaware of signs or warnings against smoking in their schools. The great majority (n=1639, 92.7%) considered themselves well informed on the harmful effects of smoking, but only 6.7% could list three or more tobacco-associated health consequences, however. Parents and friends were seen as privileged sources of information. Among these students, 194 (11.1%) were smokers and the average started to smoke at the age of 15. The majority of these (n=111, 57.2%) had parents who smoked and 96.4% had friends who smoked, versus 83.1% of non-smokers, a statistically significant difference (p Pocket money was the means of acquiring cigarettes in 34.8%. Most (60.8%) considered themselves able to stop smoking at any time, while 11.4% of the smokers smoked more than one pack a day and 9.8% smoked the first cigarette within 5 minutes of waking, however. The percentage of smokers in this group of teenagers was considerable and indicators of nicotine dependence were found. Knowledge of the risks of smoking was poor and information on smoking given by schools had an apparently low and variable impact. Parents' and friends' behaviour may have a weighty impact on the decision to start smoking.
Marcela Cristina de Lemos
Full Text Available Objectives: To know the opinion of senior high school students in publicand private schools on the process of donating and transplanting organsand tissues, and their desire to be donors. Methods: A descriptive crosssectionalstudy, conducted from 2004 to 2005, on the opinion/knowledgeof senior high school students in public and private schools in the VilaMariana region of the city of São Paulo, on the process of organ and tissuedonation and transplantation. The convenience sample was made up of140 (81% students from two private schools and 167 (51% studentsfrom a public school. The project was approved by the Research EthicsCommittee of the UNIFESP. Results: Data showed that 163 (53.1%students believe that donation is by presumed consent and 147 (47.9%that consider that it occurs by informed consent. Of the public schoolstudents, 120 (71.9% believe that transplants are public and free ofcharge in Brazil versus 94 (67.1% of the students from private schools.Students know that donations may be made by living or dead donors(121 - 86.4% private schools versus 113 – 67.7% public school. Wehighlight that 22 (15.7% of the private school students and 16 (9.6%of those from the public school believe that the commerce of organs isallowed in Brazil. As to intentions of being a donor, 108 (77.1% of theprivate school students declared themselves organ and tissue donorsversus 106 (63.5% from the public school, and 63 (59.4% from thepublic versus 61 (56.5% from the private schools have already informedtheir families. Conclusion: There was no difference in knowledge andopinion among the students from the public and private schools as toaspects regarding donation and transplantation.
Wheaton, Anne G; Ferro, Gabrielle A; Croft, Janet B
Adolescents who do not get enough sleep are more likely to be overweight; not engage in daily physical activity; suffer from depressive symptoms; engage in unhealthy risk behaviors such as drinking, smoking tobacco, and using illicit drugs; and perform poorly in school. However, insufficient sleep is common among high school students, with less than one third of U.S. high school students sleeping at least 8 hours on school nights. In a policy statement published in 2014, the American Academy of Pediatrics (AAP) urged middle and high schools to modify start times as a means to enable students to get adequate sleep and improve their health, safety, academic performance, and quality of life. AAP recommended that "middle and high schools should aim for a starting time of no earlier than 8:30 a.m.". To assess state-specific distributions of public middle and high school start times and establish a pre-recommendation baseline, CDC and the U.S. Department of Education analyzed data from the 2011-12 Schools and Staffing Survey (SASS). Among an estimated 39,700 public middle, high, and combined schools* in the United States, the average start time was 8:03 a.m. Overall, only 17.7% of these public schools started school at 8:30 a.m. or later. The percentage of schools with 8:30 a.m. or later start times varied greatly by state, ranging from 0% in Hawaii, Mississippi, and Wyoming to more than three quarters of schools in Alaska (76.8%) and North Dakota (78.5%). A school system start time policy of 8:30 a.m. or later provides teenage students the opportunity to achieve the 8.5-9.5 hours of sleep recommended by AAP and the 8-10 hours recommended by the National Sleep Foundation.
The possible use of trilinear algebras as symmetry algebras for para-Fermi fields is investigated. The shortcomings of the examples are argued to be a general feature of such generalized algebras. (author)
We study a twisted generalization of Novikov algebras, called Hom-Novikov algebras, in which the two defining identities are twisted by a linear map. It is shown that Hom-Novikov algebras can be obtained from Novikov algebras by twisting along any algebra endomorphism. All algebra endomorphisms on complex Novikov algebras of dimensions 2 or 3 are computed, and their associated Hom-Novikov algebras are described explicitly. Another class of Hom-Novikov algebras is constructed from Hom-commutative algebras together with a derivation, generalizing a construction due to Dorfman and Gel'fand. Two other classes of Hom-Novikov algebras are constructed from Hom-Lie algebras together with a suitable linear endomorphism, generalizing a construction due to Bai and Meng.
Dittus, Patricia J; Harper, Christopher R; Becasen, Jeffrey S; Donatello, Robin A; Ethier, Kathleen A
Adolescent males are less likely to receive health care and have lower levels of sexual and reproductive health (SRH) knowledge than adolescent females. The purpose of this study was to determine if a school-based structural intervention focused on school nurses increases receipt of condoms and SRH information among male students. Interventions to improve student access to sexual and reproductive health care were implemented in six urban high schools with a matched set of comparison schools. Interventions included working with school nurses to improve access to sexual and reproductive health care, including the provision of condoms and information about pregnancy and sexually transmitted disease prevention and services. Intervention effects were assessed through five cross-sectional yearly surveys, and analyses include data from 13,740 male students. Nurses in intervention schools changed their interactions with male students who visited them for services, such that, among those who reported they went to the school nurse for any reason in the previous year, those in intervention schools reported significant increases in receipt of sexual health services over the course of the study compared with students in comparison schools. Further, these results translated into population-level effects. Among all male students surveyed, those in intervention schools were more likely than those in comparison schools to report increases in receipt of sexual health services from school nurses. With a minimal investment of resources, school nurses can become important sources of SRH information and condoms for male high school students. Published by Elsevier Inc.
Humlum, Maria Knoth; Smith, Nina
We estimate the effect of school size on students' long-term outcomes such as high school completion, being out of the labor market, and earnings at the age of 30. We use rich register data on the entire population of Danish children attending grade 9 in the period 1986-2004. This allows us...... school size and alternative measures of long-term success in the educational system and the labor market. The positive impact of school size seems mainly to be driven by boys, students from families with a low educational level and students attending schools in urban areas....
Marković Živorad M.
Full Text Available This is the micro research which studied the connection between gender and violence between older primary school students with the goal of discovering exposure of gender members to violence in school context and the ways of reaction to the violence. The researchers from different scientific disciplines have been permanently involved in studying the problem of violence for more than a decade with the goal to lessen the high percentage of violence in schools. In this sense, this research, with its range and character, represents the contribution in discovering characteristics of violence in schools in one specific local area, which could fill in the wholeness of this phenomenon. The research involved students of the final grade of primary school on the territory of the municipality of Svilajnac (which is in central part of Serbia and it was performed in December 2015. 236 students were surveyed. The survey consisted of the following questions a which questioned the social matrix of families in which the students live b which questioned presence and frequency of different types of violence between students in primary schools c which questioned the attitudes of students of both genders about the violence, exposure to violence in school and the ways of reacting to violence. In the frame of quantitative analysis of the data the following was applied: percentual research of frequencies and Pierson's hi-square test (x2 for testing of hyphothesis about the significance of differences. The main results of the research showed: a There is no statistically significant difference in exposure to violence in school between male and female students of primary school age; both genders are exposed to verbal and physical violence and male students (45.7% are more exposed to physical, and female students (38.3% are more exposed to verbal violence. bThere is no statistically significant difference in the readiness of students considering their gender to help another
Bliss, Gilbert Ames
This book, immediately striking for its conciseness, is one of the most remarkable works ever produced on the subject of algebraic functions and their integrals. The distinguishing feature of the book is its third chapter, on rational functions, which gives an extremely brief and clear account of the theory of divisors.... A very readable account is given of the topology of Riemann surfaces and of the general properties of abelian integrals. Abel's theorem is presented, with some simple applications. The inversion problem is studied for the cases of genus zero and genus unity. The chapter on t
Leavitt path algebras associate to directed graphs a Z-graded algebra and in their simplest form recover the Leavitt algebras L(1,k). In this note, we introduce iterated Leavitt path algebras associated to directed weighted graphs which have natural ± Z grading and in their simplest form recover the Leavitt algebras L(n,k). We also characterize Leavitt path algebras which are strongly graded. (author)
Glassmeyer, David; Edwards, Belinda
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…
Home; Journals; Proceedings – Mathematical Sciences; Volume 120; Issue 2. A T -Algebras and Extensions of A T ... School of Science, Nanjing University of Science and Technology, Nanjing 210014, People's Republic of China; Department of Mathematics, Tongji University, Shanghai 200092, People's Republic of China ...
Wouters, Anouk; Croiset, Gerda; Schripsema, Nienke R.; Cohen-Schotanus, Janke; Spaai, Gerard W.G.; Hulsman, Robert L.; Kusurkar, Rashmi A.
Objectives The aim was to examine main reasons for students? medical school choice and their relationship with students? characteristics and motivation during the students? medical study. Methods In this multisite cross-sectional study, all Year-1 and Year-4 students who had participated in a selection procedure in one of the three Dutch medical schools included in the study were invited to complete an online survey comprising personal data, their main reason for medical school choice and sta...
Gase, Lauren N; Gomez, Louis M; Kuo, Tony; Glenn, Beth A; Inkelas, Moira; Ponce, Ninez A
School climate is an integral part of a comprehensive approach to improving the well-being of students; however, little is known about the relationships between its different domains and measures. We examined the relationships between student, staff, and administrative measures of school climate to understand the extent to which they were related to each other and student outcomes. The sample included 33,572 secondary school students from 121 schools in Los Angeles County during the 2014-2015 academic year. A multilevel regression model was constructed to examine the association between the domains and measures of school climate and 5 outcomes of student well-being: depressive symptoms or suicidal ideation, tobacco use, alcohol use, marijuana use, and grades. Student, staff, and administrative measures of school climate were weakly correlated. Strong associations were found between student outcomes and student reports of engagement and safety, while school staff reports and administrative measures of school climate showed limited associations with student outcomes. As schools seek to measure and implement interventions aimed at improving school climate, consideration should be given to grounding these efforts in a multidimensional conceptualization of climate that values student perspectives and includes elements of both engagement and safety. © 2017, American School Health Association.
Kurth, Jennifer A.; Lyon, Kristin J.; Shogren, Karrie A.
The purpose of the present study was to investigate practices that support the inclusion of students with severe disabilities in the learning and social activities of inclusive K-8 schools to inform inclusive school reform research and practice. Eighteen K-8 students with severe disabilities in six schools recognized for their implementation of…
The increasing use of information and communication technology (ICT) in schools has been largely explored in relation to how students' use ICT at school. In addition students' lives and experiences with technology beyond school have also begun to be explored. However, the nexus between the two is still an underdeveloped research area. Anecdotally…
Olufajo, Olubode Ademola; Agaku, Israel Terungwa
To obtain nationally representative estimates of the prevalence of secondhand smoke (SHS) exposure at U.S. schools, we assessed the prevalence and correlates of SHS exposure at school among U.S. middle and high school students using data from the 2011 National Youth Tobacco Survey comprising of 18,866 students spread across all the U.S. states.…
Salmela-Aro, Katariina; Read, Sanna; Minkkinen, Jaana; Kinnunen, Jaana M.; Rimpelä, Arja
The aim of this longitudinal study among 9223 students from grade 7 and grade 9 (age 13-14 and 15-16) was to assess whether immigrant status and gender are associated with the level and change (slope) in school burnout among lower secondary school students in the Helsinki metropolitan area. Ninety-seven percent of the variation in school burnout…
This study aims to develop and test the validity of a model limited to attitude towards the future and subjective well-being for reducing and preventing the school burnout that high school students can experience. The study is designed as a relational screening model conducted over 389 high school students. The data in this study are analyzed…
Akin Kösterelioglu, Meltem; Kösterelioglu, Ilker
This study aims to identify the effects of high school students' perceptions of school life quality on their academic motivation levels. The study was conducted on a sample of high school students (n = 2371) in Amasya Province in the fall semester of 2013-2014 academic year. Study sample was selected with the help of cluster sampling method. Data…
In this study; the perceptions of the students studying at sport high schools about democratic school culture were analysed in accordance with different variables. Participants of the research consisted of 216 students studying at Sport High Schools in Sakarya and Batman Provinces of Turkey. The data were collected with the Democratic School…
Siyez, Digdem M.
The study aimed to examine the effects of perceived social support from teachers, expectation of academic achievement, school control, and gender on anger dimensions in high school students in Izmir, Turkey. In total, 446 high school students (234 girls, 212 boys) participated in the study. Pearson's correlation and multiple regression analyses…
Johnson, Sarah Lindstrom; Burke, Jessica Griffin; Gielen, Andrea Carlson
This article provides information about aspects of the school environment students perceive to influence the occurrence of school violence. Concept mapping, a mixed-methods methodology, was used with two groups of urban, primarily African American high school students (N = 27) to create conceptual frameworks of their understanding of the school…
Watson, Joshua C.
With data collected from 254 middle grade (5-8) students enrolled in a rural, southern school district, this study sought to determine the influence of self-esteem, mattering, and school connectedness on students' overall wellness. Using a two-step hierarchical multiple regression analysis, the author found that school connectedness significantly…
This study aims at both investigating bullying episodes occurring at school across different grades (from 6 to 8) and evaluating whether educational achievement in math can be predicted on the ground of students' perception of school violence. The sample was composed of 11,064 students coming from middle schools of Southern Italy. Standardized…
Varjas, Kris; Henrich, Christopher C.; Meyers, Joel
This study examined 427 urban middle school students' perceptions of bullying, cyberbullying, and school safety utilizing the Student Survey of Bullying Behavior-Revised 2 (Varjas, Meyers, & Hunt, 2006). A unique finding is that cyberbullying may represent a unique modality of victimization and bullying compared with other school-based…
Holfeld, Brett; Grabe, Mark
This study explored the nature and extent of middle school students' (n = 665) experiences with cyber bullying. Approximately one in five students reported being cyber bullied in the past year, with 55% of those students being repeatedly victimized within the past 30 days. Female students were more likely to be involved in cyber bullying (victim,…
Vélez Young-Alfaro, Morghan
This ethnography explores incarcerated students' experiences and dynamics of identity formation inside a youth prison school. Across two years, 100 students and 50 adults were engaged. The structure, discourse, and adult-student interactions revealed a fixation on framing students as threats with a racialized undertone while also exposing the…
Zhang, Lin; Barnett, Michael
Given that many urban students exclude Science, Technology, Engineering, and Mathematics careers from their career choices, the present study focuses on urban high school students and adopts the social-cultural approach to understand the following questions: how do students envision their careers? What are the experiences that shape students'…
Moussa, Wael Soheil
This dissertation examines the student academic achievement through various mechanisms, put in place by the public school district, classroom student behavior, and negative external shocks to the students' living environment. I examine the impacts of various treatments on student short and long run academic outcomes such as math and English test…
Grant, Jon E.; Potenza, Marc N.; Krishnan-Sarin, Suchitra; Cavallo, Dana A.; Desai, Rani A.
Background Although shopping behavior among adolescents is normal, for some the shopping becomes problematic. An assessment of adolescent shopping behavior along a continuum of severity and its relationship to other behaviors and health issues is incompletely understood. Methods A large sample of high school students (n=3999) was examined using a self-report survey with 153 questions concerning demographic characteristics, shopping behaviors, other health behaviors including substance use, and functioning variables such as grades and violent behavior. Results The overall prevalence of problem shopping was 3.5% (95%CI: 2.93–4.07). Regular smoking, marijuana and other drug use, sadness and hopelessness, and antisocial behaviors (e.g., fighting, carrying weapons) were associated with problem shopping behavior in both boys and girls. Heavy alcohol use was significantly associated with problem shopping only in girls. Conclusion Problem shopping appears fairly common among high school students and is associated with symptoms of depression and a range of potentially addictive and antisocial behaviors. Significant distress and diminished behavioral control suggest that excessive shopping may often have significant associated morbidity. Additional research is needed to develop specific prevention and treatment strategies for adolescents who report problems with shopping. PMID:21497217
Grant, Jon E; Potenza, Marc N; Krishnan-Sarin, Suchitra; Cavallo, Dana A; Desai, Rani A
Although shopping behavior among adolescents is normal, for some, the shopping becomes problematic. An assessment of adolescent shopping behavior along a continuum of severity and its relationship to other behaviors and health issues is incompletely understood. A large sample of high school students (n = 3999) was examined using a self-report survey with 153 questions concerning demographic characteristics, shopping behaviors, other health behaviors including substance use, and functioning variables such as grades and violent behavior. The overall prevalence of problem shopping was 3.5% (95% CI, 2.93-4.07). Regular smoking, marijuana and other drug use, sadness and hopelessness, and antisocial behaviors (e.g., fighting, carrying weapons) were associated with problem shopping behavior in both boys and girls. Heavy alcohol use was significantly associated with problem shopping only in girls. Problem shopping appears fairly common among high school students and is associated with symptoms of depression and a range of potentially addictive and antisocial behaviors. Significant distress and diminished behavioral control suggest that excessive shopping may often have significant associated morbidity. Additional research is needed to develop specific prevention and treatment strategies for adolescents who report problems with shopping. Copyright © 2011 Elsevier Inc. All rights reserved.
Full Text Available Today, in education prevails the paradigm that is geared towards the complete and varied development of a person. This implies the development of the students ability for self-determination towards various other perspective offered by contemporary social residence. Meanwhile in the time of adolescence, the youth experience serious crises regarding their identity, in which the free time and the activities during the free time can be positively used with a cause to be interrupted unconstructive and chaotic use of the free time by the youth. In this thesis are being analyzed the contents and the ways with what the secondary school students in the Republic of Macedonia fulfill their free time outside the school, specifically there will be an examination about the gender differences i.e. the amount and manner of spending their free time. In the approach to the study of the problem of research, we decided to apply: inductive method, deductive method and the method of comparison.
Franco, M. Suzanne; Patel, Nimisha H.
High school students' perceptions and experiences regarding student engagement were investigated using 32 focus group sessions across 4 different types of STEM education settings in 2 metropolitan areas in the Midwest. Students' understandings and experiences related to student engagement were reflected via 5 categories: students' thinking of…
Knight, Louise; Nakuti, Janet; Allen, Elizabeth; Gannett, Katherine R; Naker, Dipak; Devries, Karen M
The nature and structure of the school environment has the potential to shape children's health and well being. Few studies have explored the importance of school-level factors in explaining a child's likelihood of experiencing violence from school staff, particularly in low-resource settings such as Uganda. To quantify to what extent a student's risk of violence is determined by school-level factors we fitted multilevel logistic regression models to investigate associations and present between-school variance partition coefficients. School structural factors, academic and supportive environment are explored. 53% of students reported physical violence from staff. Only 6% of variation in students' experience of violence was due to differences between schools and half the variation was explained by the school-level factors modelled. Schools with a higher proportion of girls are associated with increased odds of physical violence from staff. Students in schools with a high level of student perceptions of school connectedness have a 36% reduced odds of experiencing physical violence from staff, but no other school-level factor was significantly associated. Our findings suggest that physical violence by school staff is widespread across different types of schools in this setting, but interventions that improve students' school connectedness should be considered. © The Author 2015. Published by Oxford University Press on behalf of Royal Society of Tropical Medicine and Hygiene.
Estrategias Didácticas y Conocimiento Especializado de Profesores de Matemáticas. Un Caso en Álgebra Escolar = Teaching Strategies and Mathematics Teacher's Specialized Knowledge. A Case in School Algebra
Sandoval, Ivonne; Solares Rojas, Armando; García-Campos, Montserrat
We present results of the analysis of knowledge used by a secondary school mathematics teacher in her classroom practice. This knowledge takes shape and is displayed as specific teaching strategies in the management of her class when she incorporates Computer Algebra Systems. Based on observations of regular classes, we find that her knowledge…
The book is intended for graduate students of theoretical physics (with a background in quantum mechanics) as well as researchers interested in applications of Lie group theory and Lie algebras in physics. The emphasis is on the inter-relations of representation theories of Lie groups and the corresponding Lie algebras.
This is the first in a series of three volumes dealing with important topics in algebra. It offers an introduction to the foundations of mathematics together with the fundamental algebraic structures, namely groups, rings, fields, and arithmetic. Intended as a text for undergraduate and graduate students of mathematics, it discusses all major topics in algebra with numerous motivating illustrations and exercises to enable readers to acquire a good understanding of the basic algebraic structures, which they can then use to find the exact or the most realistic solutions to their problems.
Bookhagen, Britta; Buchwaldt, Robert; McLean, Noah; Rioux, Matthew; Bowring, Samuel
The authors taught an educational module developed as part of the EARTHTIME (www.earth-time.org) outreach initiative to 215 high school students from a Massachusetts (USA) High School as part of an "out-of-school" field trip. The workshop focuses on uranium-lead (U-Pb) dating of zircons and its application to solving a geological problem. The theme of our 2.5-hour module is the timing of the K-T boundary and a discussion of how geochronology can be used to evaluate the two main hypotheses for the cause of the concurrent extinction—the Chicxlub impact and the massive eruption of the Deccan Traps. Activities are divided into three parts: In the first part, the instructors lead hands-on activities demonstrating how rock samples are processed to isolate minerals by their physical properties. Students use different techniques, such as magnetic separation, density separation using non-toxic heavy liquids, and mineral identification with a microscope. We cover all the steps from sampling an outcrop to determining a final age. Students also discuss geologic features relevant to the K-T boundary problem and get the chance to examine basalts, impact melts and meteorites. In the second part, we use a curriculum developed for and available on the EARTHTIME website (http://www.earth-time.org/Lesson_Plan.pdf). The curriculum teaches the science behind uranium-lead dating using tables, graphs, and a geochronology kit. In this module, the students start by exploring the concepts of half-life and exponential decay and graphically solving the isotopic decay equation. Manipulating groups of double-sided chips labeled with U and Pb isotopes reinforces the concept that an age determination depends on the Pb/U ratio, not the absolute number of atoms present. Next, the technique's accuracy despite loss of parent and daughter atoms during analysis, as well as the use of isotopic ratios rather than absolute abundances, is explained with an activity on isotope dilution. Here the students
Rhee, Hyekyun; McQuillan, Brenda; Chen, Ding-Geng; Atis, Shannska
To examine interpersonal relationships involving peers and teachers and perceptions about school environment among middle school students with asthma in comparison to their healthy counterparts. The study also assesses asthma prevalence in a large sample of middle school students representing different geographic locations. Cross-sectional data were collected from 1059 middle school students in grades 6-8 enrolled in schools in a northeastern region of the United States. Students reported their chronic health conditions including asthma and completed questionnaires measuring perceptions about their relationships with peers and teachers as well as school environment. Analyses of covariance (ANCOVAs) were used to compare students with asthma and their healthy counterparts in the study variables. Asthma was reported by 16.5% of the sample (n = 169). The rate was higher among minority students (23%) than their white counterparts (15%). Greater proportion of urban students (28%) reported asthma than rural (18%) and suburban (14%) students. Students with asthma reported significantly poorer relationships with peers (B = -1.74, p asthma prevalence was substantially higher than the national average of adolescent asthma, particularly those residing in the urban area. Poor perceptions of interpersonal relationships with peers and teachers among students with asthma may indicate compromised quality of life. Suboptimal interpersonal relationships and school environment need to be identified and adequately addressed, given their implications for asthma management at the school setting among middle school students.
Prendergast, Mark; O'Donoghue, John
This research investigates the influence that gender, single-sex and co-educational schooling can have on students' mathematics education in second-level Irish classrooms. Although gender differences in mathematics education have been the subject of research for many years, recent results from PISA (Programme for International Student Assessment) show that there are still marked differences between the achievement and attitude of male and female students in Irish mathematics classrooms. This paper examines the influence of gender in more detail and also investigates the impact of single-sex or co-educational schooling. This is a follow on study which further analyses data collected by the authors when they designed a pedagogical framework and used this to develop, implement and evaluate a teaching intervention in four second-level Irish schools. The aim of this pedagogical framework was to promote student interest in the topic of algebra through effective teaching of the domain. This paper further analyses the quantitative data collected and investigates whether there were differences in students' enjoyment and achievement scores based on their gender and whether they attended single-sex or co-educational schools.
Profil Pemecahan Masalah Aljabar Berpandu Pada Taksonomi SOLO Ditinjau Dari Gaya Kognitif Konseptual Tempo Siswa SMA Negeri 1 Makale Tana Toraja [A Profile of Guided Algebra Problem Solving Using the SOLO Taxonomy and the Cognitive Conceptual Tempo Style of Students at the SMA Negeri 1 School In Makale, Tana Toraja
Oce Datu Appulembang
Full Text Available The objective of this research was to discover the process used in solving a superitem test which consisted of 4 stages according to the SOLO (Structure of Learning Outcomes Taxonomy, namely unistuctural, multistructural, relational, and extended abstract, and reviewed using the cognitive impulsive and reflective style. The research was qualitative research. The main instrument of the research was the researcher himself guided by a superitem test, an impulsive-reflective cognitive test namely MFFT (Matching Familiar Figure Test, and a valid interview guideline. The subject of this research was the students of class X1 at SMA Negeri 1 Makale Tana Toraja consisting of four students in which 2 subjects were with cognitive impulsive style and 2 subjects with cognitive reflective style. The data was collected by giving a superitem test which was verified with an interview. The results of the research show that: (a the first subject’s impulsive and reflective style showed the tendency of problem solving at an abstract level which was expanded in the question of one variable linear equation and in the question of two variable linear equation, (b the second subject’s impulsive cognitive style in two variable linear equation problem solving showed the tendency of unistuctural and relational thinking only, (c the second subject’s cognitive reflective style showed the tendency of problem solving in relational level, (d the subject’s impulsive and reflective cognitive style showed the tendency of the same problem solving in the level unistructural, multistructural, relational, and abstract in the question of one variable linear equation, and different in the abstract level in the question of two variable linear equation. BAHASA INDONESIA ABSTRAK: Tujuan penelitian ini adalah untuk mengetahui profil pemecahan masalah dengan melihat dan mengungkap proses berpikir siswa dalam menyelesaikan tes superitem yang terdiri atas 4 tingkatan menurut Taksonomi
Burgess, Christiana J.
Over the last several decades, forensic science---the application of science to civil and criminal legal matters---has become of increasing popularity with the public. The range of disciplines within the field is immense, offering individuals the potential for a unique career, regardless of their specific interests or expertise. In response to this growth, many organizations, both public and private, have recognized the need to create forensic science programs that strive to maintain and enhance the quality of forensic science education. Unfortunately, most of the emphasis placed on developing these materials relates to post-secondary education, and creates a significant lack of forensic science educational materials available in the U.S., especially in Oklahoma. The purpose of this project was to create a high school curriculum that provides the foundation for building a broad, yet comprehensive, overview of the field of forensic science and its associated disciplines. The overall goal was to create and provide course materials to high school teachers in order to increase their knowledge of forensic science such that they are able to teach its disciplines effectively and with accuracy. The Forensic Science Curriculum for High School Students includes sample lesson plans, PowerPoint presentations, and lab activities with step-by-step instructions.
Lawrence M. Rudner
Full Text Available This report presents the results of the largest survey and testing program for students in home schools to date. In Spring 1998, 20,760 K-12 home school students in 11,930 families were administered either the Iowa Tests of Basic Skills (ITBS or the Tests of Achievement and Proficiency (TAP, depending on their current grade. The parents responded to a questionnaire requesting background and demographic information. Major findings include: the achievement test scores of this group of home school students are exceptionally high--the median scores were typically in the 70th to 80th percentile; 25% of home school students are enrolled one or more grades above their age-level public and private school peers; this group of home school parents has more formal education than parents in the general population; the median income for home school families is significantly higher than that of all families with children in the United States; and almost all home school students are in married couple families. Because this was not a controlled experiment, the study does not demonstrate that home schooling is superior to public or private schools and the results must be interpreted with caution. The report clearly suggests, however, that home school students do quite well in that educational environment.
Abstract. Let k be an algebraically closed field, A a finite dimensional connected. (p,q)-Koszul self-injective algebra with p, q ≥ 2. In this paper, we prove that the. Yoneda algebra of A is isomorphic to a twisted polynomial algebra A![t; β] in one inde- terminate t of degree q +1 in which A! is the quadratic dual of A, β is an ...
Batten, Margaret; Girling-Butcher, Sue
In order to test the validity of a measure of Australian students' views on the quality of life within their schools, a small-scale study was conducted in seven secondary schools, including both public and private institutions. The 52-item survey instrument was administered to 651 students in grades 9-12. Followup interviews of students were held…
Pugh, Karen; Every, Danielle; Hattam, Robert
In recent years, there has been an increase in students with refugee experience in the UK, the US, Europe and Australia. These students face many barriers to education, and appropriately educating this diverse student population presents many challenges to schools and education departments. We argue that a whole of school approach that includes…
Padilla, Alejandro; Hipolito-Delgado, Carlos P.
A qualitative research study was conducted with 15 school counselors to identify the strategies they used to empower Chicana/o and Latina/o high school students. The findings of this study revealed that participants facilitated student empowerment by developing personal relationships with students, involving alumni, building sociocultural…
Adhikari, Mahima Ranjan
This book provides an accessible introduction to algebraic topology, a ﬁeld at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book oﬀers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. T...
Hughes, Joan E.; Read, Michelle F.; Jones, Sara; Mahometa, Michael
This study used multiple regression to identify predictors of middle school students' Web 2.0 activities out of school, a construct composed of 15 technology activities. Three middle schools participated, where sixth- and seventh-grade students completed a questionnaire. Independent predictor variables included three demographic and five computer…
Permanent link: https://www.ias.ac.in/article/fulltext/reso/018/07/0630-0645. Keywords. Combinatorial proof; algebraic proof; binomial identity; recurrence relation; composition; Fibonacci number; Fibonacci identity; Pascal triangle. Author Affiliations. Shailesh A Shirali1. Sahyadri School Tiwai Hill, Rajgurunagar Pune 410 ...
Business leaders from important sectors of the American economy have been urging schools to set higher standards in math and science--and California officials, in mandating that 8th graders be tested in introductory algebra, have responded with one of the highest such standards in the land. Still, many California educators and school…
Blyth, T S
Most of the introductory courses on linear algebra develop the basic theory of finite dimensional vector spaces, and in so doing relate the notion of a linear mapping to that of a matrix. Generally speaking, such courses culminate in the diagonalisation of certain matrices and the application of this process to various situations. Such is the case, for example, in our previous SUMS volume Basic Linear Algebra. The present text is a continuation of that volume, and has the objective of introducing the reader to more advanced properties of vector spaces and linear mappings, and consequently of matrices. For readers who are not familiar with the contents of Basic Linear Algebra we provide an introductory chapter that consists of a compact summary of the prerequisites for the present volume. In order to consolidate the student's understanding we have included a large num ber of illustrative and worked examples, as well as many exercises that are strategi cally placed throughout the text. Solutions to the ex...
Open algebraic surfaces are a synonym for algebraic surfaces that are not necessarily complete. An open algebraic surface is understood as a Zariski open set of a projective algebraic surface. There is a long history of research on projective algebraic surfaces, and there exists a beautiful Enriques-Kodaira classification of such surfaces. The research accumulated by Ramanujan, Abhyankar, Moh, and Nagata and others has established a classification theory of open algebraic surfaces comparable to the Enriques-Kodaira theory. This research provides powerful methods to study the geometry and topology of open algebraic surfaces. The theory of open algebraic surfaces is applicable not only to algebraic geometry, but also to other fields, such as commutative algebra, invariant theory, and singularities. This book contains a comprehensive account of the theory of open algebraic surfaces, as well as several applications, in particular to the study of affine surfaces. Prerequisite to understanding the text is a basic b...