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Sample records for high school calculus

  1. Polynomial Calculus: Rethinking the Role of Calculus in High Schools

    Science.gov (United States)

    Grant, Melva R.; Crombie, William; Enderson, Mary; Cobb, Nell

    2016-01-01

    Access to advanced study in mathematics, in general, and to calculus, in particular, depends in part on the conceptual architecture of these knowledge domains. In this paper, we outline an alternative conceptual architecture for elementary calculus. Our general strategy is to separate basic concepts from the particular advanced techniques used in…

  2. Motivation and Study Habits of College Calculus Students: Does Studying Calculus in High School Make a Difference?

    Science.gov (United States)

    Gibson, Megan

    2013-01-01

    Due in part to the growing popularity of the Advanced Placement program, an increasingly large percentage of entering college students are enrolling in calculus courses having already taken calculus in high school. Many students do not score high enough on the AP calculus examination to place out of Calculus I, and many do not take the…

  3. Calculus in High School--At What Cost?

    Science.gov (United States)

    Sorge, D. H.; Wheatley, G. H.

    1977-01-01

    Evidence on the decline in preparation of entering calculus students and the relationship to high school preparation is presented, focusing on the trend toward the de-emphasis of trigonometry and analytic geometry in favor of calculus. Data on students' perception of the adequacy of their preparation are also presented. (Author/MN)

  4. The Path to College Calculus: The Impact of High School Mathematics Coursework

    Science.gov (United States)

    Sadler, Philip; Sonnert, Gerhard

    2018-01-01

    This study addresses a longstanding question among high school mathematics teachers and college mathematics professors: Which is the best preparation for college calculus-- (a) a high level of mastery of mathematics considered preparatory for calculus (algebra, geometry, precalculus) or (b) taking calculus itself in high school? We used a data set…

  5. Success in Introductory Calculus: The Role of High School and Pre-calculus Preparation

    OpenAIRE

    Ayebo, Abraham; Ukkelberg, Sarah; Assuah, Charles

    2017-01-01

    Calculus at the college level has significantpotential to serve as a pump for increasing the number of students majoring inSTEM fields. It is a foundation course for all STEM majors and, if mastered well,should provide students with a positive and successful first-year experienceand gateway into more advanced courses. Studies have shown that a high percentage of studentsfailing college calculus has caused a shortage of individuals entering fieldsthat are heavily dependent on mathematics. Many...

  6. Concepts and Skills in High School Calculus: An Examination of a Special Case in Japan and the United States

    Science.gov (United States)

    Judson, Thomas W.; Nishimori, Toshiyuki

    2005-01-01

    In this study we investigated above-average high school calculus students from Japan and the United States in order to determine any differences in their conceptual understanding of calculus and their ability to use algebra to solve traditional calculus problems. We examined and interviewed 18 Calculus BC students in the United States and 26…

  7. A Useful Demonstration of Calculus in a Physics High School Laboratory

    Science.gov (United States)

    Alvarez, Gustavo; Schulte, Jurgen; Stockton, Geoffrey; Wheeler, David

    2018-01-01

    The real power of calculus is revealed when it is applied to actual physical problems. In this paper, we present a calculus inspired physics experiment suitable for high school and undergraduate programs. A model for the theory of the terminal velocity of a falling body subject to a resistive force is developed and its validity tested in an…

  8. Visual Thinking and Gender Differences in High School Calculus

    Science.gov (United States)

    Haciomeroglu, Erhan Selcuk; Chicken, Eric

    2012-01-01

    This study sought to examine calculus students' mathematical performances and preferences for visual or analytic thinking regarding derivative and antiderivative tasks presented graphically. It extends previous studies by investigating factors mediating calculus students' mathematical performances and their preferred modes of thinking. Data were…

  9. Instructional Experiences That Align with Conceptual Understanding in the Transition from High School Mathematics to College Calculus

    Science.gov (United States)

    Wade, Carol H.; Sonnert, Gerhard; Sadler, Philip M.; Hazari, Zahra

    2017-01-01

    Using data from the first National study on high school preparation for college calculus success, the Factors Influencing College Success in Mathematics (FICSMath) project, this article connects student high school instructional experiences to college calculus performance. The findings reported here reveal that students were better prepared for…

  10. Success in Introductory Calculus: The Role of High School and Pre-Calculus Preparation

    Science.gov (United States)

    Ayebo, Abraham; Ukkelberg, Sarah; Assuah, Charles

    2017-01-01

    Calculus at the college level has significant potential to serve as a pump for increasing the number of students majoring in STEM fields. It is a foundation course for all STEM majors and, if mastered well, should provide students with a positive and successful first-year experience and gateway into more advanced courses. Studies have shown that a…

  11. Intra-Mathematical Connections Made by High School Students in Performing Calculus Tasks

    Science.gov (United States)

    García-García, Javier; Dolores-Flores, Crisólogo

    2018-01-01

    In this article, we report the results of research that explores the intra-mathematical connections that high school students make when they solve Calculus tasks, in particular those involving the derivative and the integral. We consider mathematical connections as a cognitive process through which a person relates or associates two or more ideas,…

  12. A useful demonstration of calculus in a physics high school laboratory

    Science.gov (United States)

    Alvarez, Gustavo; Schulte, Jurgen; Stockton, Geoffrey; Wheeler, David

    2018-01-01

    The real power of calculus is revealed when it is applied to actual physical problems. In this paper, we present a calculus inspired physics experiment suitable for high school and undergraduate programs. A model for the theory of the terminal velocity of a falling body subject to a resistive force is developed and its validity tested in an experiment of a falling magnet in a column of self-induced eddy currents. The presented method combines multiple physics concepts such as 1D kinematics, classical mechanics, electromagnetism and non-trivial mathematics. It offers the opportunity for lateral as well as project-based learning.

  13. Intra-mathematical connections made by high school students in performing Calculus tasks

    Science.gov (United States)

    García-García, Javier; Dolores-Flores, Crisólogo

    2018-02-01

    In this article, we report the results of research that explores the intra-mathematical connections that high school students make when they solve Calculus tasks, in particular those involving the derivative and the integral. We consider mathematical connections as a cognitive process through which a person relates or associates two or more ideas, concepts, definitions, theorems, procedures, representations and meanings among themselves, with other disciplines or with real life. Task-based interviews were used to collect data and thematic analysis was used to analyze them. Through the analysis of the productions of the 25 participants, we identified 223 intra-mathematical connections. The data allowed us to establish a mathematical connections system which contributes to the understanding of higher concepts, in our case, the Fundamental Theorem of Calculus. We found mathematical connections of the types: different representations, procedural, features, reversibility and meaning as a connection.

  14. Engineering-Based Problem Solving Strategies in AP Calculus: An Investigation into High School Student Performance on Related Rate Free-Response Problems

    Science.gov (United States)

    Thieken, John

    2012-01-01

    A sample of 127 high school Advanced Placement (AP) Calculus students from two schools was utilized to study the effects of an engineering design-based problem solving strategy on student performance with AP style Related Rate questions and changes in conceptions, beliefs, and influences. The research design followed a treatment-control multiple…

  15. Calculus and Success in a Business School

    Science.gov (United States)

    Kim, Dong-gook; Garcia, Fernando; Dey, Ishita

    2012-01-01

    Many business schools or colleges require calculus as a prerequisite for certain classes or for continuing to upper division courses. While there are many studies investigating the relationship between performance in calculus and performance in a single course, such as economics, statistics, and finance, there are very few studies investigating…

  16. The Effects of Two Semesters of Secondary School Calculus on Students' First and Second Quarter Calculus Grades at the University of Utah

    Science.gov (United States)

    Robinson, William Baker

    1970-01-01

    The predicted and actual achievement in college calculus is compared for students who had studied two semesters of calculus in high school. The regression equation used for prediction was calculated from the performance data of similar students who had not had high school calculus. (CT)

  17. High School Learners' Mental Construction during Solving Optimisation Problems in Calculus: A South African Case Study

    Science.gov (United States)

    Brijlall, Deonarain; Ndlovu, Zanele

    2013-01-01

    This qualitative case study in a rural school in Umgungundlovu District in KwaZulu-Natal, South Africa, explored Grade 12 learners' mental constructions of mathematical knowledge during engagement with optimisation problems. Ten Grade 12 learners who do pure Mathemat-ics participated, and data were collected through structured activity sheets and…

  18. High school learners' mental construction during solving optimisation problems in Calculus: a South African case study

    Directory of Open Access Journals (Sweden)

    Deonarain Brijlall

    2013-01-01

    Full Text Available This qualitative case study in a rural school in Umgungundlovu District in KwaZulu-Natal, South Africa, explored Grade 12 learners' mental constructions of mathematical knowledge during engagement with optimisation problems. Ten Grade 12 learners who do pure Mathematics participated, and data were collected through structured activity sheets and semi-structured interviews. Structured activity sheets with three tasks were given to learners; these tasks were done in groups, and the group leaders were interviewed. It was found that learners tended to do well with routine-type questions, implying that they were functioning at an action level. From the interviews it appeared that learners might have the correct answer, but lacked conceptual understanding. Exploring learners' mental constructions via their responses to activity sheets and interviews enabled common errors and misconceptions to be identified. Themes that emerged were that learners: 1 lacked the understanding of notation dy/dx, 2 had not constructed the derivative and minima/maxima schema, 3 had some difficulty in modelling problems, 4 preferred rules and formulas, and 5 applied algebraic notions incorrectly. Inferences are drawn for curriculum developers and teachers. This study also formulated itemised genetic decompositions for particular tasks, which contribute to APOS theory.

  19. Calculus

    CERN Document Server

    Jones, Patrick

    2014-01-01

    Practice makes perfect-and helps deepen your understanding of calculus 1001 Calculus Practice Problems For Dummies takes you beyond the instruction and guidance offered in Calculus For Dummies, giving you 1001 opportunities to practice solving problems from the major topics in your calculus course. Plus, an online component provides you with a collection of calculus problems presented in multiple-choice format to further help you test your skills as you go. Gives you a chance to practice and reinforce the skills you learn in your calculus courseHelps you refine your understanding of calculusP

  20. Calculus

    CERN Document Server

    Larson, Ron

    2014-01-01

    The Larson CALCULUS program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

  1. Calculus

    CERN Document Server

    Grossman, Stanley I

    1981-01-01

    Calculus, Second Edition discusses the techniques and theorems of calculus. This edition introduces the sine and cosine functions, distributes ?-? material over several chapters, and includes a detailed account of analytic geometry and vector analysis.This book also discusses the equation of a straight line, trigonometric limit, derivative of a power function, mean value theorem, and fundamental theorems of calculus. The exponential and logarithmic functions, inverse trigonometric functions, linear and quadratic denominators, and centroid of a plane region are likewise elaborated. Other topics

  2. Calculus

    CERN Document Server

    Spivak, Michael

    2006-01-01

    Spivak's celebrated textbook is widely held as one of the finest introductions to mathematical analysis. His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.

  3. Calculus

    CERN Document Server

    Grossman, Stanley I

    1984-01-01

    Calculus, Third Edition emphasizes the techniques and theorems of calculus, including many applied examples and exercises in both drill and applied-type problems.This book discusses shifting the graphs of functions, derivative as a rate of change, derivative of a power function, and theory of maxima and minima. The area between two curves, differential equations of exponential growth and decay, inverse hyperbolic functions, and integration of rational functions are also elaborated. This text likewise covers the fluid pressure, ellipse and translation of axes, graphing in polar coordinates, pro

  4. Mathematica empowered applets for learning school algebra and calculus

    NARCIS (Netherlands)

    Heck, A.; Boon, P.; van Velthoven, W.

    2008-01-01

    We describe the development and use of Mathematica empowered applets for learning and practising algebra and calculus at secondary school level. We discuss how Mathematica can be used as back engine to evaluate students' answers and provide appropriate feedback. These applets provide scoring

  5. Calculus

    CERN Document Server

    Zandy, Bernard V

    2003-01-01

    We take great notes-and make learning a snap When it comes to pinpointing the stuff you really need to know, nobody does it better than CliffsNotes. This fast, effective tutorial helps you master core Calculus concepts-from functions, limits, and derivatives to differentials, integration, and definite integrals- and get the best possible grade. At CliffsNotes, we're dedicated to helping you do your best, no matter how challenging the subject. Our authors are veteran teachers and talented writers who know how to cut to the chase- and zero in on the essential information you need to succeed.

  6. Using Dynamic Software to Address Common College Calculus Stumbling Blocks

    Science.gov (United States)

    Seneres, Alice W.; Kerrigan, John A.

    2014-01-01

    There are specific topics in college calculus that can be major stumbling blocks for students. Having taught college calculus for four years to over a thousand students, we observed that even the students who have already taken pre-calculus or calculus during their high school careers had common misunderstandings. Students may remember a technique…

  7. The impact of taking a college pre-calculus course on students' college calculus performance

    Science.gov (United States)

    Sonnert, Gerhard; Sadler, Philip M.

    2014-11-01

    Poor performance on placement exams keeps many US students who pursue a STEM (science, technology, engineering, mathematics) career from enrolling directly in college calculus. Instead, they must take a pre-calculus course that aims to better prepare them for later calculus coursework. In the USA, enrollment in pre-calculus courses in two- and four-year colleges continues to grow, and these courses are well-populated with students who already took pre-calculus in high school. We examine student performance in college calculus, using regression discontinuity to estimate the effects of taking college pre-calculus or not, in a national US sample of 5507 students at 132 institutions. We find that students who take college pre-calculus do not earn higher calculus grades.

  8. A Transition Course from Advanced Placement to College Calculus

    Science.gov (United States)

    Lucas, Timothy A.; Spivey, Joseph

    2011-01-01

    In the Spring of 2007, a group of highly motivated mathematics graduate students conducted a review of Duke's Calculus curriculum. They focused on two main problems. The first problem is the result of a very positive trend: a growing number of students are earning AP credit for Calculus I in high school. However, this results in Calculus II…

  9. Student Achievement in College Calculus, Louisiana State University 1967-1968.

    Science.gov (United States)

    Scannicchio, Thomas Henry

    An investigation of freshmen achievement in an introductory calculus course was performed on the basis of high school mathematics background to find predictors of college calculus grades. Overall high school academic achievement, overall high school mathematics achievement, number of high school mathematics units, pattern of college preparatory…

  10. Tensor Calculus: Unlearning Vector Calculus

    Science.gov (United States)

    Lee, Wha-Suck; Engelbrecht, Johann; Moller, Rita

    2018-01-01

    Tensor calculus is critical in the study of the vector calculus of the surface of a body. Indeed, tensor calculus is a natural step-up for vector calculus. This paper presents some pitfalls of a traditional course in vector calculus in transitioning to tensor calculus. We show how a deeper emphasis on traditional topics such as the Jacobian can…

  11. The calculus of get-out-the-vote in a high turnout setting

    DEFF Research Database (Denmark)

    Bhatti, Yosef; Dahlgaard, Jens Olav; Hansen, Jonas Hedegaard

    Through a get-out-the-vote experiment we study the effect of eight different statements related to ‘the calculus of voting’ and prospect theory on voter turnout in a high salience election with proportional representation of multiple parties. The treatments are randomly assigned to more than 60...... several arguments (ITT: 1.3 percentage points, std.error. 0.62). This supports the idea that citizens are more convinced when receiving multiple arguments. There is no evidence of difference between versions of the letters emphasizing individual elements of the calculus of voting or whether the decision...

  12. PREVALENCE AND ASSOCIATED FACTORS OF DENTAL CARIES, GINGIVITIS, AND CALCULUS DEPOSITS IN SCHOOL CHILDREN OF SARGODHA DISTRICT, PAKISTAN.

    Science.gov (United States)

    Umer, Muhammad Farooq; Farooq, Umer; Shabbir, Arham; Zofeen, Shumaila; Mujtaba, Hasan; Tahir, Muhammad

    2016-01-01

    According to a pathfinder survey conducted by World Health Organization, dental caries is the single most common chronic childhood disease in Pakistan. The update information regarding dental health of school children of Sargodha district is required to plan community caries prevention programs and for better understanding of existing situation, and may improve longevity, treatment, and care. This cross sectional study was conducted in four randomly selected schools of Sargodha district, stratified by gender selected. Two well-trained dentists examined the oral cavities of children for dental caries, gingivitis, and calculus deposits. The sample consisted of children aged between 3-12 years. The overall prevalence rate of gingivitis, calculus, and dental caries was found as 14.5%, 14.3%, and 45.9% respectively. A significant association was found between DMFT score (p calculus (p calculus (p dental caries than children residing in rural areas. Incidence of gingivitis (p calculus, and dental caries in primary (p dental caries in primary teeth was found higher (p < 0.01) in children who brushed occasionally. Study also showed that none of the children ever visited dentist for treatment. The results emphasize the need for initiation of awareness programs to achieve 0 DMFT/df scores.

  13. Partial Fractions in Calculus, Number Theory, and Algebra

    Science.gov (United States)

    Yackel, C. A.; Denny, J. K.

    2007-01-01

    This paper explores the development of the method of partial fraction decomposition from elementary number theory through calculus to its abstraction in modern algebra. This unusual perspective makes the topic accessible and relevant to readers from high school through seasoned calculus instructors.

  14. Capsule calculus

    CERN Document Server

    Ritow, Ira

    2003-01-01

    This brief introductory text presents the basic principles of calculus from the engineering viewpoint. Excellent either as a refresher or as an introductory course, it focuses on developing familiarity with the basic principles rather than presenting detailed proofs.Topics include differential calculus, in terms of differentiation and elementary differential equations; integral calculus, in simple and multiple integration forms; time calculus; equations of motion and their solution; complex variables; complex algebra; complex functions; complex and operational calculus; and simple and inverse

  15. Prevalence and associated factors of dental caries, gingivitis and calculus deposits in school children of sargodha district, Pakistan

    International Nuclear Information System (INIS)

    Umer, M.F.; Mujtaba, H.; Tahir, M.

    2016-01-01

    Background: According to a pathfinder survey conducted by World Health Organization, dental caries is the single most common chronic childhood disease in Pakistan. The update information regarding dental health of school children of Sargodha district is required to plan community caries prevention programs and for better understanding of existing situation, and may improve longevity, treatment, and care. Methods: This cross sectional study was conducted in four randomly selected schools of Sargodha district, stratified by gender selected. Two well-trained dentists examined the oral cavities of children for dental caries, gingivitis, and calculus deposits. The sample consisted of children aged between 3-12 years. Results: The overall prevalence rate of gingivitis, calculus, and dental caries was found as 14.5 percentage, 14.3 percentage, and 45.9 percentage respectively. A significant association was found between DMFT score (p<0.001), gingivitis (p<0.01), and calculus (p<0.05) with the increase in age of children. More children living in urban area were detected with gingivitis (p<0.01), calculus (p<0.01), and dental caries than children residing in rural areas. Incidence of gingivitis (p<0.05), calculus, and dental caries in primary (p<0.001) and permanent teeth were found higher in those children who were not brushing their teeth. Experience of dental caries in primary teeth was found higher (p<0.01) in children who brushed occasionally. Study also showed that none of the children ever visited dentist for treatment. Conclusions: The results emphasize the need for initiation of awareness programs to achieve 0 DMFT/df scores. (author)

  16. Continuation calculus

    NARCIS (Netherlands)

    Geron, B.; Geuvers, J.H.; de'Liguoro, U.; Saurin, A.

    2013-01-01

    Programs with control are usually modeled using lambda calculus extended with control operators. Instead of modifying lambda calculus, we consider a different model of computation. We introduce continuation calculus, or CC, a deterministic model of computation that is evaluated using only head

  17. Calculus of bivariant function

    OpenAIRE

    PTÁČNÍK, Jan

    2011-01-01

    This thesis deals with the introduction of function of two variables and differential calculus of this function. This work should serve as a textbook for students of elementary school's teacher. Each chapter contains a summary of basic concepts and explanations of relationships, then solved model exercises of the topic and finally the exercises, which should solve the student himself. Thesis have transmit to students basic knowledges of differential calculus of functions of two variables, inc...

  18. Calculus light

    CERN Document Server

    Friedman, Menahem

    2011-01-01

    Another Calculus book? As long as students find calculus scary, the failure rate in mathematics is higher than in all other subjects, and as long as most people mistakenly believe that only geniuses can learn and understand mathematics, there will always be room for a new book of Calculus. We call it Calculus Light. This book is designed for a one semester course in ""light"" calculus -- mostly single variable, meant to be used by undergraduate students without a wide mathematical background and who do not major in mathematics but study subjects such as engineering, biology or management infor

  19. Predicting College Math Success: Do High School Performance and Gender Matter? Evidence from Sultan Qaboos University in Oman

    Science.gov (United States)

    Islam, M. Mazharul; Al-Ghassani, Asma

    2015-01-01

    The objective of this study was to evaluate the performance of students of college of Science of Sultan Qaboos University (SQU) in Calculus I course, and examine the predictive validity of student's high school performance and gender for Calculus I success. The data for the study was extracted from students' database maintained by the Deanship of…

  20. Calculus problems

    CERN Document Server

    Baronti, Marco; van der Putten, Robertus; Venturi, Irene

    2016-01-01

    This book, intended as a practical working guide for students in Engineering, Mathematics, Physics, or any other field where rigorous calculus is needed, includes 450 exercises. Each chapter starts with a summary of the main definitions and results, which is followed by a selection of solved exercises accompanied by brief, illustrative comments. A selection of problems with indicated solutions rounds out each chapter. A final chapter explores problems that are not designed with a single issue in mind but instead call for the combination of a variety of techniques, rounding out the book’s coverage. Though the book’s primary focus is on functions of one real variable, basic ordinary differential equations (separation of variables, linear first order and constant coefficients ODEs) are also discussed. The material is taken from actual written tests that have been delivered at the Engineering School of the University of Genoa. Literally thousands of students have worked on these problems, ensuring their real-...

  1. Calculus migration characterization during Ho:YAG laser lithotripsy by high-speed camera using suspended pendulum method.

    Science.gov (United States)

    Zhang, Jian James; Rajabhandharaks, Danop; Xuan, Jason Rongwei; Chia, Ray W J; Hasenberg, Thomas

    2017-07-01

    Calculus migration is a common problem during ureteroscopic laser lithotripsy procedure to treat urolithiasis. A conventional experimental method to characterize calculus migration utilized a hosting container (e.g., a "V" grove or a test tube). These methods, however, demonstrated large variation and poor detectability, possibly attributed to the friction between the calculus and the container on which the calculus was situated. In this study, calculus migration was investigated using a pendulum model suspended underwater to eliminate the aforementioned friction. A high-speed camera was used to study the movement of the calculus which covered zero order (displacement), first order (speed), and second order (acceleration). A commercialized, pulsed Ho:YAG laser at 2.1 μm, a 365-μm core diameter fiber, and a calculus phantom (Plaster of Paris, 10 × 10 × 10 mm 3 ) was utilized to mimic laser lithotripsy procedure. The phantom was hung on a stainless steel bar and irradiated by the laser at 0.5, 1.0, and 1.5 J energy per pulse at 10 Hz for 1 s (i.e., 5, 10, and 15 W). Movement of the phantom was recorded by a high-speed camera with a frame rate of 10,000 FPS. The video data files are analyzed by MATLAB program by processing each image frame and obtaining position data of the calculus. With a sample size of 10, the maximum displacement was 1.25 ± 0.10, 3.01 ± 0.52, and 4.37 ± 0.58 mm for 0.5, 1, and 1.5 J energy per pulse, respectively. Using the same laser power, the conventional method showed <0.5 mm total displacement. When reducing the phantom size to 5 × 5 × 5 mm 3 (one eighth in volume), the displacement was very inconsistent. The results suggested that using the pendulum model to eliminate the friction improved sensitivity and repeatability of the experiment. A detailed investigation on calculus movement and other causes of experimental variation will be conducted as a future study.

  2. The AP Calculus Exam Reading Experience: Implications for Teacher Classroom Practice and Student Comprehension

    Science.gov (United States)

    Corcoran, Mimi

    2017-01-01

    This dissertation explores the views and experiences of high school calculus teachers and college mathematics professors on the professional development which occurs at the annual national AP Calculus exam grading. This professional development experience comes in several forms: the exam briefing sessions, the actual reading of the exams, the…

  3. The Role of Cognitive Ability and Preferred Mode of Processing in Students' Calculus Performance

    Science.gov (United States)

    Haciomeroglu, Erhan Selcuk

    2015-01-01

    The present study sought to design calculus tasks to determine students' preference for visual or analytic processing as well as examine the role of preferred mode of processing in calculus performance and its relationship to spatial ability and verbal-logical reasoning ability. Data were collected from 150 high school students who were enrolled…

  4. The Association of Precollege Use of Calculators with Student Performance in College Calculus

    Science.gov (United States)

    Mao, Yi; White, Tyreke; Sadler, Philip M.; Sonnert, Gerhard

    2017-01-01

    This study investigates how the use of calculators during high school mathematics courses is associated with student performance in introductory college calculus courses in the USA. Data were drawn from a nationally representative sample of 7087 students enrolled in college calculus at 134 colleges and universities. They included information about…

  5. Tuplix Calculus

    OpenAIRE

    Bergstra, J. A.; Ponse, A.; van der Zwaag, M. B.

    2007-01-01

    We introduce a calculus for tuplices, which are expressions that generalize matrices and vectors. Tuplices have an underlying data type for quantities that are taken from a zero-totalized field. We start with the core tuplix calculus CTC for entries and tests, which are combined using conjunctive composition. We define a standard model and prove that CTC is relatively complete with respect to it. The core calculus is extended with operators for choice, information hiding, scalar multiplicatio...

  6. Operational calculus

    CERN Document Server

    Boehme, Thomas K

    1987-01-01

    Operational Calculus, Volume II is a methodical presentation of operational calculus. An outline of the general theory of linear differential equations with constant coefficients is presented. Integral operational calculus and advanced topics in operational calculus, including locally integrable functions and convergence in the space of operators, are also discussed. Formulas and tables are included.Comprised of four sections, this volume begins with a discussion on the general theory of linear differential equations with constant coefficients, focusing on such topics as homogeneous and non-ho

  7. Calculus refresher

    CERN Document Server

    Klaf, A A

    1956-01-01

    This book is unique in English as a refresher for engineers, technicians, and students who either wish to brush up their calculus or find parts of calculus unclear. It is not an ordinary textbook. It is, instead, an examination of the most important aspects of integral and differential calculus in terms of the 756 questions most likely to occur to the technical reader. It provides a very easily followed presentation and may also be used as either an introductory or supplementary textbook. The first part of this book covers simple differential calculus, with constants, variables, functions, inc

  8. Teaching and Learning Calculus in Secondary Schools with the TI-Nspire

    Science.gov (United States)

    Parrot, Mary Ann Serdina; Eu, Leong Kwan

    2014-01-01

    Technology can help develop understanding of abstract mathematical concepts through visualisation and graphic representation. The teaching and learning of calculus can be challenging as it involves abstract and complex ideas. The purpose of this study was to investigate how students and teachers attempt to use TI-Nspire, the latest graphing…

  9. An AP Calculus Classroom Amusement Park

    Science.gov (United States)

    Ferguson, Sarah

    2016-01-01

    Throughout the school year, AP Calculus teachers strive to teach course content comprehensively and swiftly in an effort to finish all required material before the AP Calculus exam. As early May approaches and the AP Calculus test looms, students and teachers nervously complete lessons, assignments, and assessments to ensure student preparation.…

  10. Tuplix calculus

    NARCIS (Netherlands)

    Bergstra, J.A.; Ponse, A.; van der Zwaag, M.B.

    2008-01-01

    We introduce a calculus for tuplices, which are expressions that generalize matrices and vectors. Tuplices have an underlying data type for quantities that are taken from a zero-totalized field. We start with the core tuplix calculus CTC for entries and tests, which are combined using conjunctive

  11. Continuation calculus

    Directory of Open Access Journals (Sweden)

    Bram Geron

    2013-09-01

    Full Text Available Programs with control are usually modeled using lambda calculus extended with control operators. Instead of modifying lambda calculus, we consider a different model of computation. We introduce continuation calculus, or CC, a deterministic model of computation that is evaluated using only head reduction, and argue that it is suitable for modeling programs with control. It is demonstrated how to define programs, specify them, and prove them correct. This is shown in detail by presenting in CC a list multiplication program that prematurely returns when it encounters a zero. The correctness proof includes termination of the program. In continuation calculus we can model both call-by-name and call-by-value. In addition, call-by-name functions can be applied to call-by-value results, and conversely.

  12. Journalism Beyond High School.

    Science.gov (United States)

    Turner, Sally

    2001-01-01

    Discusses the shift from high school journalism to college journalism for students. Describes the role of the high school journalism advisor in that process. Offers checklists for getting to know a college publication. Outlines ways high school journalism teachers can take advantage of journalism resources available at local colleges and…

  13. Evaluating High School IT

    Science.gov (United States)

    Thompson, Brett A.

    2004-01-01

    Since its inception in 1997, Cisco's curriculum has entered thousands of high schools across the U.S. and around the world for two reasons: (1) Cisco has a large portion of the computer networking market, and thus has the resources for and interest in developing high school academies; and (2) high school curriculum development teams recognize the…

  14. Early College High Schools

    Science.gov (United States)

    Dessoff, Alan

    2011-01-01

    For at-risk students who stand little chance of going to college, or even finishing high school, a growing number of districts have found a solution: Give them an early start in college while they still are in high school. The early college high school (ECHS) movement that began with funding from the Bill and Melinda Gates Foundation 10 years ago…

  15. Advanced calculus

    CERN Document Server

    Nickerson, HK; Steenrod, NE

    2011-01-01

    ""This book is a radical departure from all previous concepts of advanced calculus,"" declared the Bulletin of the American Mathematics Society, ""and the nature of this departure merits serious study of the book by everyone interested in undergraduate education in mathematics."" Classroom-tested in a Princeton University honors course, it offers students a unified introduction to advanced calculus. Starting with an abstract treatment of vector spaces and linear transforms, the authors introduce a single basic derivative in an invariant form. All other derivatives - gradient, divergent, curl,

  16. CLEP calculus

    CERN Document Server

    Hill, Gregory

    2013-01-01

    Earn College Credit with REA's Test Prep for CLEP* Calculus Everything you need to pass the exam and get the college credit you deserve.Our test prep for CLEP* Calculus and the free online tools that come with it, will allow you to create a personalized CLEP* study plan that can be customized to fit you: your schedule, your learning style, and your current level of knowledge.Here's how it works:Diagnostic exam at the REA Study Center focuses your studyOur online diagnostic exam pinpoints your strengths and shows you exactly where you need to focus your study. Armed with this information, you

  17. How High? How Fast? How Long? Modeling Water Rocket Flight with Calculus

    Science.gov (United States)

    Ashline, George; Ellis-Monaghan, Joanna

    2006-01-01

    We describe an easy and fun project using water rockets to demonstrate applications of single variable calculus concepts. We provide procedures and a supplies list for launching and videotaping a water rocket flight to provide the experimental data. Because of factors such as fuel expulsion and wind effects, the water rocket does not follow the…

  18. Fixing High Schools

    Science.gov (United States)

    Perkins-Gough, Deborah

    2005-01-01

    Reports from national education organizations in the US indicate the sorry state of high schools in the country that are accused of failing to adequately prepare their graduates for college or for the workforce, highlighting what is a serious problem in light of the troubled state of the US economy. The need to improve high schools is urgent and…

  19. High School Principals and the High School Journalism Program.

    Science.gov (United States)

    Peterson, Jane W.

    A study asked selected high school principals to respond to statements about the value of high school journalism to the high school student and about the rights and responsibilities of the high school journalist. These responses were then checked against such information as whether or not the high school principal had worked on a high school…

  20. High School Book Fairs

    Science.gov (United States)

    Fitzgerald, Marianne

    2006-01-01

    Many secondary students have given up the joy of reading. When asked why they don't read for pleasure, students came up with many different reasons, the first being lack of time. High school students are busy with after school jobs, sports, homework, etc. With the growing number of students enrolled in AP classes, not only is there not much time…

  1. Investing in High School

    Science.gov (United States)

    Green, Daniel G.

    2012-01-01

    Strapped for cash, a Massachusetts high school creates its own venture capital fund to incentivize teachers to create programs that improve student learning. The result has been higher test scores and higher job satisfaction. One important program is credited with helping close the achievement gap at the school, while others have helped ambitious…

  2. Imagine Yourself in This Calculus Classroom

    Science.gov (United States)

    Bryan, Luajean

    2007-01-01

    The efforts to attract students to precalculus, trigonometry, and calculus classes became more successful at the author's school when projects-based classes were offered. Data collection from an untethered hot air balloon flight for calculus students was planned to maximize enrollment. The data were analyzed numerically, graphically, and…

  3. Science 101: How Do We Use Calculus in Science?

    Science.gov (United States)

    Robertson, Bill

    2014-01-01

    How is calculus used in science? That might seem like an odd question to answer in a magazine intended primarily for elementary school teachers. After all, how much calculus gets used in elementary science? Here the author guesses that quite a few readers of this column do not know a whole lot about calculus and have not taken a course in…

  4. Improving Calculus II and III through the Redistribution of Topics

    Science.gov (United States)

    George, C. Yousuf; Koetz, Matt; Lewis, Heather A.

    2016-01-01

    Three years ago our mathematics department rearranged the topics in second and third semester calculus, moving multivariable calculus to the second semester and series to the third semester. This paper describes the new arrangement of topics, and how it could be adapted to calculus curricula at different schools. It also explains the benefits we…

  5. Matrix calculus

    CERN Document Server

    Bodewig, E

    1959-01-01

    Matrix Calculus, Second Revised and Enlarged Edition focuses on systematic calculation with the building blocks of a matrix and rows and columns, shunning the use of individual elements. The publication first offers information on vectors, matrices, further applications, measures of the magnitude of a matrix, and forms. The text then examines eigenvalues and exact solutions, including the characteristic equation, eigenrows, extremum properties of the eigenvalues, bounds for the eigenvalues, elementary divisors, and bounds for the determinant. The text ponders on approximate solutions, as well

  6. Calculus diaries

    CERN Document Server

    Ouellette,, Jennifer

    2011-01-01

    Jennifer Ouellette never took maths in the sixth form, mostly because she – like most of us – assumed she wouldn't need it much in real life. But then the English graduate, now an award-winning science-writer, had a change of heart and decided to revisit the equations and formulas that had haunted her youth. The Calculus Diaries is the fun and fascinating account of a year spent confronting her numbers-phobia head on. With wit and verve, Ouellette explains how she discovered that maths could apply to everything from petrol mileages to dieting, rollercoaster rides to winning in Las Vegas.

  7. Advanced calculus

    CERN Document Server

    Friedman, Avner

    2007-01-01

    This rigorous two-part treatment advances from functions of one variable to those of several variables. Intended for students who have already completed a one-year course in elementary calculus, it defers the introduction of functions of several variables for as long as possible, and adds clarity and simplicity by avoiding a mixture of heuristic and rigorous arguments.The first part explores functions of one variable, including numbers and sequences, continuous functions, differentiable functions, integration, and sequences and series of functions. The second part examines functions of several

  8. Advanced calculus

    CERN Document Server

    Fitzpatrick, Patrick M

    2009-01-01

    Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclide

  9. Timetabling at High Schools

    DEFF Research Database (Denmark)

    Sørensen, Matias

    on the publicly available XHSTT format for modeling instances and solutions of the HSTP) and the Danish High School Timetabling Problem (DHSTP). For both problems a complex Mixed-Integer Programming (MIP) model is developed, and in both cases are empirical tests performed on a large number of real-life datasets......High school institutions face a number of important planning problems during each schoolyear. This Ph.D. thesis considers two of these planning problems: The High School Timetabling Problem (HSTP) and the Consultation Timetabling Problem (CTP). Furthermore a framework for handling various planning....... The second part contains the main scienti_c papers composed during the Ph.D. study. The third part of the thesis also contains scienti_c papers, but these are included as an appendix. In the HSTP, the goal is to obtain a timetable for the forthcoming school-year. A timetable consists of lectures scheduled...

  10. Curve Fitting via the Criterion of Least Squares. Applications of Algebra and Elementary Calculus to Curve Fitting. [and] Linear Programming in Two Dimensions: I. Applications of High School Algebra to Operations Research. Modules and Monographs in Undergraduate Mathematics and Its Applications Project. UMAP Units 321, 453.

    Science.gov (United States)

    Alexander, John W., Jr.; Rosenberg, Nancy S.

    This document consists of two modules. The first of these views applications of algebra and elementary calculus to curve fitting. The user is provided with information on how to: 1) construct scatter diagrams; 2) choose an appropriate function to fit specific data; 3) understand the underlying theory of least squares; 4) use a computer program to…

  11. Renal calculus

    CERN Document Server

    Pyrah, Leslie N

    1979-01-01

    Stone in the urinary tract has fascinated the medical profession from the earliest times and has played an important part in the development of surgery. The earliest major planned operations were for the removal of vesical calculus; renal and ureteric calculi provided the first stimulus for the radiological investigation of the viscera, and the biochemical investigation of the causes of calculus formation has been the training ground for surgeons interested in metabolic disorders. It is therefore no surprise that stone has been the subject of a number of monographs by eminent urologists, but the rapid development of knowledge has made it possible for each one of these authors to produce something new. There is still a technical challenge to the surgeon in the removal of renal calculi, and on this topic we are always glad to have the advice of a master craftsman; but inevitably much of the interest centres on the elucidation of the causes of stone formation and its prevention. Professor Pyrah has had a long an...

  12. Calculator calculus

    CERN Document Server

    McCarty, George

    1982-01-01

    How THIS BOOK DIFFERS This book is about the calculus. What distinguishes it, however, from other books is that it uses the pocket calculator to illustrate the theory. A computation that requires hours of labor when done by hand with tables is quite inappropriate as an example or exercise in a beginning calculus course. But that same computation can become a delicate illustration of the theory when the student does it in seconds on his calculator. t Furthermore, the student's own personal involvement and easy accomplishment give hi~ reassurance and en­ couragement. The machine is like a microscope, and its magnification is a hundred millionfold. We shall be interested in limits, and no stage of numerical approximation proves anything about the limit. However, the derivative of fex) = 67.SgX, for instance, acquires real meaning when a student first appreciates its values as numbers, as limits of 10 100 1000 t A quick example is 1.1 , 1.01 , 1.001 , •••• Another example is t = 0.1, 0.01, in the functio...

  13. Propositional Calculus in Coq

    OpenAIRE

    van Doorn, Floris

    2015-01-01

    I formalize important theorems about classical propositional logic in the proof assistant Coq. The main theorems I prove are (1) the soundness and completeness of natural deduction calculus, (2) the equivalence between natural deduction calculus, Hilbert systems and sequent calculus and (3) cut elimination for sequent calculus.

  14. Science Modelling in Pre-Calculus: How to Make Mathematics Problems Contextually Meaningful

    Science.gov (United States)

    Sokolowski, Andrzej; Yalvac, Bugrahan; Loving, Cathleen

    2011-01-01

    "Use of mathematical representations to model and interpret physical phenomena and solve problems is one of the major teaching objectives in high school math curriculum" [National Council of Teachers of Mathematics (NCTM), "Principles and Standards for School Mathematics", NCTM, Reston, VA, 2000]. Commonly used pre-calculus textbooks provide a…

  15. Synthesizing controllers from duration calculus

    DEFF Research Database (Denmark)

    Fränzle, Martin

    1996-01-01

    Duration Calculus is a logic for reasoning about requirements for real-time systems at a high level of abstraction from operational detail, which qualifies it as an interesting starting point for embedded controller design. Such a design activity is generally thought to aim at a control device...... the physical behaviours of which satisfy the requirements formula, i.e. the refinement relation between requirements and implementations is taken to be trajectory inclusion. Due to the abstractness of the vocabulary of Duration Calculus, trajectory inclusion between control requirements and controller designs...... for embedded controller design and exploit this fact for developing an automatic procedure for controller synthesis from specifications formalized in Duration Calculus. As far as we know, this is the first positive result concerning feasibility of automatic synthesis from dense-time Duration Calculus....

  16. Dual Campus High School

    Directory of Open Access Journals (Sweden)

    Carmen P. Mombourquette

    2013-04-01

    Full Text Available September 2010 witnessed the opening of the first complete dual campus high school in Alberta. Catholic Central High School, which had been in existence since 1967 in one building, now offered courses to students on two campuses. The “dual campus” philosophy was adopted so as to ensure maximum program flexibility for students. The philosophy, however, was destined to affect student engagement and staff efficacy as the change in organizational structure, campus locations, and course availability was dramatic. Changing school organizational structure also had the potential of affecting student achievement. A mixed-methods study utilizing engagement surveys, efficacy scales, and interviews with students and teachers was used to ascertain the degree of impact. The results of the study showed that minimal impact occurred to levels of student engagement, minor negative impact to staff efficacy, and a slight increase to student achievement results.

  17. Experience, gender, and performance: Connecting high school physics experience and gender differences to introductory college physics performance

    Science.gov (United States)

    Tai, Robert H.

    Current science educational practice is coming under heavy criticism based on the dismaying results of the Third International Mathematics and Science Study of 1998, the latest in a series of large scale surveys; and from research showing the appallingly low representation of females in science-related fields. These critical evaluations serve to draw attention to science literacy in general and lack of persistence among females in particular, two issues that relate closely to the "preparation for future study" goal held by many high school science teachers. In other words, these teachers often seek to promote future success and to prevent future failure in their students' academic careers. This thesis studies the connection between the teaching practices recommended by reformers and researchers for high school teachers, and their students' subsequent college physics performance. The teaching practices studied were: laboratory experiences, class discussion experiences, content coverage, and reliance on textbooks. This study analyzed a survey of 1500 students from 16 different lecture-format college physics courses at 14 different universities. Using hierarchical linear modeling, this study accounted for course-level variables (Calculus-based/Non-calculus course type, professor's gender, and university selectivity). This study controlled for the student's parents education, high school science/mathematics achievement, high school calculus background, and racial background. In addition, the interactions between gender and both pedagogical/curricular and course-level variables were analyzed. The results indicated that teaching fewer topics in greater depth in high school physics appeared to be helpful to college physics students. An interaction between college course type and content coverage showed that students in Calculus-based physics reaped even greater benefits from a depth-oriented curriculum. Also students with fewer labs per month in high school physics

  18. Reshaping High School English.

    Science.gov (United States)

    Pirie, Bruce

    This book takes up the question of what shape high school English studies should take in the coming years. It describes an English program that blends philosophical depth with classroom practicality. Drawing examples from commonly taught texts such as "Macbeth,""To Kill a Mockingbird," and "Lord of the Flies," the…

  19. Calculus of one variable

    CERN Document Server

    Grossman, Stanley I

    1986-01-01

    Calculus of One Variable, Second Edition presents the essential topics in the study of the techniques and theorems of calculus.The book provides a comprehensive introduction to calculus. It contains examples, exercises, the history and development of calculus, and various applications. Some of the topics discussed in the text include the concept of limits, one-variable theory, the derivatives of all six trigonometric functions, exponential and logarithmic functions, and infinite series.This textbook is intended for use by college students.

  20. Vector Differential Calculus

    OpenAIRE

    HITZER, Eckhard MS

    2002-01-01

    This paper treats the fundamentals of the vector differential calculus part of universal geometric calculus. Geometric calculus simplifies and unifies the structure and notation of mathematics for all of science and engineering, and for technological applications. In order to make the treatment self-contained, I first compile all important geometric algebra relationships,which are necesssary for vector differential calculus. Then differentiation by vectors is introduced and a host of major ve...

  1. High levels of heavy metal accumulation in dental calculus of smokers: a pilot inductively coupled plasma mass spectrometry study.

    Science.gov (United States)

    Yaprak, E; Yolcubal, I; Sinanoğlu, A; Doğrul-Demiray, A; Guzeldemir-Akcakanat, E; Marakoğlu, I

    2017-02-01

    Various trace elements, including toxic heavy metals, may exist in dental calculus. However, the effect of environmental factors on heavy metal composition of dental calculus is unknown. Smoking is a major environmental source for chronic toxic heavy metal exposition. The aim of this study is to compare toxic heavy metal accumulation levels in supragingival dental calculus of smokers and non-smokers. A total of 29 supragingival dental calculus samples were obtained from non-smoker (n = 14) and smoker (n = 15) individuals. Subjects with a probability of occupational exposure were excluded from the study. Samples were analyzed by inductively coupled plasma mass spectrometry in terms of 26 metals and metalloids, including toxic heavy metals. Toxic heavy metals, arsenic (p 0.05). Within the limitations of this study, it can be concluded that the elementary composition of dental calculus may be affected by environmental factors such as tobacco smoke. Therefore, dental calculus may be utilized as a non-invasive diagnostic biological material for monitoring chronic oral heavy metal exposition. However, further studies are required to evaluate its diagnostic potential. © 2016 John Wiley & Sons A/S. Published by John Wiley & Sons Ltd.

  2. On the refinement calculus

    CERN Document Server

    Vickers, Trevor

    1992-01-01

    On the Refinement Calculus gives one view of the development of the refinement calculus and its attempt to bring together - among other things - Z specifications and Dijkstra's programming language. It is an excellent source of reference material for all those seeking the background and mathematical underpinnings of the refinement calculus.

  3. School Uniforms in Urban Public High Schools

    Science.gov (United States)

    Draa, Virginia Ann Bendel

    2005-01-01

    The purpose of this study was to determine whether or not the implementation of a mandatory uniform policy in urban public high schools improved school performance measures at the building level for rates of attendance, graduation, academic proficiency, and student conduct as measured by rates of suspensions and expulsions. Sixty-four secondary…

  4. Fundamentals of calculus

    CERN Document Server

    Morris, Carla C

    2015-01-01

    Fundamentals of Calculus encourages students to use power, quotient, and product rules for solutions as well as stresses the importance of modeling skills.  In addition to core integral and differential calculus coverage, the book features finite calculus, which lends itself to modeling and spreadsheets.  Specifically, finite calculus is applied to marginal economic analysis, finance, growth, and decay.  Includes: Linear Equations and FunctionsThe DerivativeUsing the Derivative Exponential and Logarithmic Functions Techniques of DifferentiationIntegral CalculusIntegration TechniquesFunctions

  5. Calculus II For Dummies

    CERN Document Server

    Zegarelli, Mark

    2012-01-01

    An easy-to-understand primer on advanced calculus topics Calculus II is a prerequisite for many popular college majors, including pre-med, engineering, and physics. Calculus II For Dummies offers expert instruction, advice, and tips to help second semester calculus students get a handle on the subject and ace their exams. It covers intermediate calculus topics in plain English, featuring in-depth coverage of integration, including substitution, integration techniques and when to use them, approximate integration, and improper integrals. This hands-on guide also covers sequences and series, wit

  6. Advanced calculus problem solver

    CERN Document Server

    REA, Editors of

    2012-01-01

    Each Problem Solver is an insightful and essential study and solution guide chock-full of clear, concise problem-solving gems. All your questions can be found in one convenient source from one of the most trusted names in reference solution guides. More useful, more practical, and more informative, these study aids are the best review books and textbook companions available. Nothing remotely as comprehensive or as helpful exists in their subject anywhere. Perfect for undergraduate and graduate studies.Here in this highly useful reference is the finest overview of advanced calculus currently av

  7. Calculus of variations

    CERN Document Server

    Elsgolc, Lev D

    2007-01-01

    This concise text offers both professionals and students an introduction to the fundamentals and standard methods of the calculus of variations. In addition to surveys of problems with fixed and movable boundaries, it explores highly practical direct methods for the solution of variational problems.Topics include the method of variation in problems with fixed boundaries; variational problems with movable boundaries and other problems; sufficiency conditions for an extremum; variational problems of constrained extrema; and direct methods of solving variational problems. Each chapter features nu

  8. How High Is the Tramping Track? Mathematising and Applying in a Calculus Model-Eliciting Activity

    Science.gov (United States)

    Yoon, Caroline; Dreyfus, Tommy; Thomas, Michael O. J.

    2010-01-01

    Two complementary processes involved in mathematical modelling are mathematising a realistic situation and applying a mathematical technique to a given realistic situation. We present and analyse work from two undergraduate students and two secondary school teachers who engaged in both processes during a mathematical modelling task that required…

  9. Placement Model for First-Time Freshmen in Calculus I (Math 131): University of Northern Colorado

    Science.gov (United States)

    Heiny, Robert L.; Heiny, Erik L.; Raymond, Karen

    2017-01-01

    Two approaches, Linear Discriminant Analysis, and Logistic Regression are used and compared to predict success or failure for first-time freshmen in the first calculus course at a medium-sized public, 4-year institution prior to Fall registration. The predictor variables are high school GPA, the number, and GPA's of college prep mathematics…

  10. AN ADVANCED PLACEMENT COURSE IN ANALYTIC GEOMETRY AND CALCULUS (MATHEMATICS XV X AP).

    Science.gov (United States)

    DEROLF, JOHN J.; MIENTKA, WALTER E.

    THIS TEXT ON ANALYTIC GEOMETRY AND CALCULUS IS A CORRESPONDENCE COURSE DESIGNED FOR ADVANCED PLACEMENT OF HIGH SCHOOL STUDENTS IN COLLEGE. EACH OF THE 21 LESSONS INCLUDES READING ASSIGNMENTS AND LISTS OF PROBLEMS TO BE WORKED. IN ADDITION, SUPPLEMENTARY EXPLANATIONS AND COMMENTS ARE INCLUDED THAT (1) PROVIDE ILLUSTRATIVE EXAMPLES OF CONCEPTS AND…

  11. To Math or Not to Math: The Algebra-Calculus Pipeline and Postsecondary Mathematics Remediation

    Science.gov (United States)

    Showalter, Daniel A.

    2017-01-01

    This article reports on a study designed to estimate the effect of high school coursetaking in the algebra-calculus pipeline on the likelihood of placing out of postsecondary remedial mathematics. A nonparametric variant of propensity score analysis was used on a nationally representative data set to remove selection bias and test for an effect…

  12. Noncausal stochastic calculus

    CERN Document Server

    Ogawa, Shigeyoshi

    2017-01-01

    This book presents an elementary introduction to the theory of noncausal stochastic calculus that arises as a natural alternative to the standard theory of stochastic calculus founded in 1944 by Professor Kiyoshi Itô. As is generally known, Itô Calculus is essentially based on the "hypothesis of causality", asking random functions to be adapted to a natural filtration generated by Brownian motion or more generally by square integrable martingale. The intention in this book is to establish a stochastic calculus that is free from this "hypothesis of causality". To be more precise, a noncausal theory of stochastic calculus is developed in this book, based on the noncausal integral introduced by the author in 1979. After studying basic properties of the noncausal stochastic integral, various concrete problems of noncausal nature are considered, mostly concerning stochastic functional equations such as SDE, SIE, SPDE, and others, to show not only the necessity of such theory of noncausal stochastic calculus but ...

  13. The quantum probability calculus

    International Nuclear Information System (INIS)

    Jauch, J.M.

    1976-01-01

    The Wigner anomaly (1932) for the joint distribution of noncompatible observables is an indication that the classical probability calculus is not applicable for quantum probabilities. It should, therefore, be replaced by another, more general calculus, which is specifically adapted to quantal systems. In this article this calculus is exhibited and its mathematical axioms and the definitions of the basic concepts such as probability field, random variable, and expectation values are given. (B.R.H)

  14. Extreme value problems without calculus: a good link with geometry and elementary maths

    Science.gov (United States)

    Ganci, Salvatore

    2016-11-01

    Some classical examples of problem solving, where an extreme value condition is required, are here considered and/or revisited. The search for non-calculus solutions appears pedagogically useful and intriguing as shown through a rich literature. A teacher, who teaches both maths and physics, (as happens in Italian High schools) can find in these kinds of problems a mind stimulating exercise compared with the standard solution obtained by the differential calculus. A good link between the geometric and analytical explanations is so established.

  15. Advanced Placement Mathematics Calculus, Grade 12 Curriculum Guide.

    Science.gov (United States)

    Scharf, John; And Others

    This document is a guide to the advanced placement program in calculus for grade 12 in the city schools in Warren, Ohio. The program covers analytic geometry, differential and integral calculus of algebraic functions, elementary transcendental functions, and applications of differentiation and integration. The philosophy and aims of the program…

  16. Green accounts & day high schools

    DEFF Research Database (Denmark)

    Jørgensen, Michael Søgaard

    1997-01-01

    The arcticle presents the concept of green accounts and describes how it can be used in the daily work and the teaching at day high schools.......The arcticle presents the concept of green accounts and describes how it can be used in the daily work and the teaching at day high schools....

  17. Rebellion in a High School.

    Science.gov (United States)

    Stinchcombe, Arthur L.

    The premise of this book is that high school rebellion is an "expression of alienation from socially present authorities." Such rebellion is a manifestation of "expressive alienation" and has the quality of hatred or sullenness. Rebellious high school students are likely to be non-utilitarian, negativistic, hedonistic, and to stress group…

  18. Endoscopic vs. tactile evaluation of subgingival calculus.

    Science.gov (United States)

    Osborn, Joy B; Lenton, Patricia A; Lunos, Scott A; Blue, Christine M

    2014-08-01

    Endoscopic technology has been developed to facilitate imagery for use during diagnostic and therapeutic phases of periodontal care. The purpose of this study was to compare the level of subgingival calculus detection using a periodontal endoscope with that of conventional tactile explorer in periodontitis subjects. A convenience sample of 26 subjects with moderate periodontitis in at least 2 quadrants was recruited from the University of Minnesota School of Dentistry to undergo quadrant scaling and root planing. One quadrant from each subject was randomized for tactile calculus detection alone and the other quadrant for tactile detection plus the Perioscope ™ (Perioscopy Inc., Oakland, Cali). A calculus index on a 0 to 3 score was performed at baseline and at 2 post-scaling and root planing visits. Sites where calculus was detected at visit 1 were retreated. T-tests were used to determine within-subject differences between Perioscope™ and tactile measures, and changes in measures between visits. Significantly more calculus was detected using the Perioscope™ vs. tactile explorer for all 3 subject visits (pcalculus detection from baseline to visit 1 were statistically significant for both the Perioscope™ and tactile quadrants (pcalculus detection from visit 1 to visit 2 was only significant for the Perioscope™ quadrant (pcalculus at this visit. It was concluded that the addition of a visual component to calculus detection via the Perioscope™ was most helpful in the re-evaluation phase of periodontal therapy. Copyright © 2014 The American Dental Hygienists’ Association.

  19. Disappearing renal calculus.

    Science.gov (United States)

    Cui, Helen; Thomas, Johanna; Kumar, Sunil

    2013-04-10

    We present a case of a renal calculus treated solely with antibiotics which has not been previously reported in the literature. A man with a 17 mm lower pole renal calculus and concurrent Escherichia coli urine infection was being worked up to undergo percutaneous nephrolithotomy. However, after a course of preoperative antibiotics the stone was no longer seen on retrograde pyelography or CT imaging.

  20. Initialized Fractional Calculus

    Science.gov (United States)

    Lorenzo, Carl F.; Hartley, Tom T.

    2000-01-01

    This paper demonstrates the need for a nonconstant initialization for the fractional calculus and establishes a basic definition set for the initialized fractional differintegral. This definition set allows the formalization of an initialized fractional calculus. Two basis calculi are considered; the Riemann-Liouville and the Grunwald fractional calculi. Two forms of initialization, terminal and side are developed.

  1. Paragrassmann differential calculus

    International Nuclear Information System (INIS)

    Filippov, A.T.; Isaev, A.P.; Kurdikov, A.V.

    1993-01-01

    This paper significantly extends and generalizes the paragrassmann calculus previous paper. Explicit general constructions for paragrassmann calculus with one and many vaiables are discussed. A general construction of many-variable differentiation algebras is given. Some particular examples are related to multi-parametric quantum deformation of the harmonic oscillators

  2. Hands-On Calculus

    Science.gov (United States)

    Sutherland, Melissa

    2006-01-01

    In this paper we discuss manipulatives and hands-on investigations for Calculus involving volume, arc length, and surface area to motivate and develop formulae which can then be verified using techniques of integration. Pre-service teachers in calculus courses using these activities experience a classroom in which active learning is encouraged and…

  3. On exterior variational calculus

    International Nuclear Information System (INIS)

    Aldrovandi, R.; Kraenkel, R.A.

    1987-01-01

    Exterior variational calculus is introduced through examples in field theory. It provides a very simple technique to decide on the existence of Lagrangians for given equations of motions and, in the case, to find them. Only local aspects are discussed but the analogy to exterior calculus on finite dimensional manifolds is complete, strongly suggesting its suitability to the study of topological aspects. (Author) [pt

  4. Teaching the Calculus

    Science.gov (United States)

    Sauerheber, Richard D.

    2012-01-01

    Methods of teaching the Calculus are presented in honour of Sir Isaac Newton, by discussing an extension of his original proofs and discoveries. The methods, requested by Newton to be used that reflect the historical sequence of the discovered Fundamental Theorems, allow first-time students to grasp quickly the basics of the Calculus from its…

  5. Essential calculus with applications

    CERN Document Server

    Silverman, Richard A

    1989-01-01

    Rigorous but accessible text introduces undergraduate-level students to necessary background math, then clear coverage of differential calculus, differentiation as a tool, integral calculus, integration as a tool, and functions of several variables. Numerous problems and a supplementary section of ""Hints and Answers."" 1977 edition.

  6. Multivariable calculus with applications

    CERN Document Server

    Lax, Peter D

    2017-01-01

    This text in multivariable calculus fosters comprehension through meaningful explanations. Written with students in mathematics, the physical sciences, and engineering in mind, it extends concepts from single variable calculus such as derivative, integral, and important theorems to partial derivatives, multiple integrals, Stokes’ and divergence theorems. Students with a background in single variable calculus are guided through a variety of problem solving techniques and practice problems. Examples from the physical sciences are utilized to highlight the essential relationship between calculus and modern science. The symbiotic relationship between science and mathematics is shown by deriving and discussing several conservation laws, and vector calculus is utilized to describe a number of physical theories via partial differential equations. Students will learn that mathematics is the language that enables scientific ideas to be precisely formulated and that science is a source for the development of mathemat...

  7. Discrete fractional calculus

    CERN Document Server

    Goodrich, Christopher

    2015-01-01

    This text provides the first comprehensive treatment of the discrete fractional calculus. Experienced researchers will find the text useful as a reference for discrete fractional calculus and topics of current interest. Students who are interested in learning about discrete fractional calculus will find this text to provide a useful starting point. Several exercises are offered at the end of each chapter and select answers have been provided at the end of the book. The presentation of the content is designed to give ample flexibility for potential use in a myriad of courses and for independent study. The novel approach taken by the authors includes a simultaneous treatment of the fractional- and integer-order difference calculus (on a variety of time scales, including both the usual forward and backwards difference operators). The reader will acquire a solid foundation in the classical topics of the discrete calculus while being introduced to exciting recent developments, bringing them to the frontiers of the...

  8. Calculus with applications

    CERN Document Server

    Lax, Peter D

    2014-01-01

    This new edition of Lax, Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physical sciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition brings the innovation of the first edition to a new generation of students. New sections in this book use simple, elementary examples to show that when applying calculus concepts to approximations of  functions, uniform convergence is more natural and easier to use than point-wise convergence. As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers and complex-valued functions, applications of calculus to modeling vibrations and population dynamics, and an introduc...

  9. Impact of Calculus Reform in a Liberal Arts Calculus Course.

    Science.gov (United States)

    Brosnan, Patricia A.; Ralley, Thomas G.

    This report describes the changes in a freshman-level calculus course that occurred as a consequence of adopting the Harvard Consortium Calculus text. The perspective is that of the lecturer. The course is intended as an introduction to calculus for liberal arts students, that is, students who will not be expected to use calculus as a mathematical…

  10. Especially for High School Teachers

    Science.gov (United States)

    Howell, J. Emory

    2001-05-01

    Literature Cited National Science Education Standards; National Academy Press: Washington, DC, 1996; http://www. nap.edu/readingroom/books/nses/. Principles and Standards for School Mathematics; National Council of Teachers of Mathematics: Washington, DC, 2000; http://standards.nctm.org/. Visit CLIC, an Online Resource for High School Teachers at http://jchemed.chem.wisc.edu/HS/

  11. Introduction to calculus and classical analysis

    CERN Document Server

    Hijab, Omar

    2016-01-01

    This completely self-contained text is intended either for a course in honors calculus or for an introduction to analysis. Beginning with the real number axioms, and involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate math majors. This fourth edition includes an additional chapter on the fundamental theorems in their full Lebesgue generality, based on the Sunrise Lemma. Key features of this text include: • Applications from several parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more; • A heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero; • Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals; • A self-contained t...

  12. Quantum chemistry and scientific calculus

    International Nuclear Information System (INIS)

    Gervais, H.P.

    1988-01-01

    The 1988 progress report of the Polytechnic School research team, concerning the quantum chemistry and the scientific calculus. The research program involves the following topics: the transition metals - carbon monoxide systems, which are a suitable model for the chemisorption phenomena; the introduction of the vibronic perturbations in the magnetic screen constants; the gauge invariance method (used in the calculation of the magnetic perturbations), extended to the case of the static or dynamic electrical polarizabilities. The published papers, the congress communications and the thesis are listed [fr

  13. Calculus of variations

    CERN Document Server

    Elsgolc, L E; Stark, M

    1961-01-01

    Calculus of Variations aims to provide an understanding of the basic notions and standard methods of the calculus of variations, including the direct methods of solution of the variational problems. The wide variety of applications of variational methods to different fields of mechanics and technology has made it essential for engineers to learn the fundamentals of the calculus of variations. The book begins with a discussion of the method of variation in problems with fixed boundaries. Subsequent chapters cover variational problems with movable boundaries and some other problems; sufficiency

  14. Stochastic calculus in physics

    International Nuclear Information System (INIS)

    Fox, R.F.

    1987-01-01

    The relationship of Ito-Stratonovich stochastic calculus to studies of weakly colored noise is explained. A functional calculus approach is used to obtain an effective Fokker-Planck equation for the weakly colored noise regime. In a smooth limit, this representation produces the Stratonovich version of the Ito-Stratonovich calculus for white noise. It also provides an approach to steady state behavior for strongly colored noise. Numerical simulation algorithms are explored, and a novel suggestion is made for efficient and accurate simulation of white noise equations

  15. The stochastic quality calculus

    DEFF Research Database (Denmark)

    Zeng, Kebin; Nielson, Flemming; Nielson, Hanne Riis

    2014-01-01

    We introduce the Stochastic Quality Calculus in order to model and reason about distributed processes that rely on each other in order to achieve their overall behaviour. The calculus supports broadcast communication in a truly concurrent setting. Generally distributed delays are associated...... with the outputs and at the same time the inputs impose constraints on the waiting times. Consequently, the expected inputs may not be available when needed and therefore the calculus allows to express the absence of data.The communication delays are expressed by general distributions and the resulting semantics...

  16. Calculus for dummies

    CERN Document Server

    Ryan, Mark

    2014-01-01

    Slay the calculus monster with this user-friendly guide Calculus For Dummies, 2nd Edition makes calculus manageable-even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the ""how"" and ""why"" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll s

  17. Authoritative School Climate and High School Dropout Rates

    Science.gov (United States)

    Jia, Yuane; Konold, Timothy R.; Cornell, Dewey

    2016-01-01

    This study tested the association between school-wide measures of an authoritative school climate and high school dropout rates in a statewide sample of 315 high schools. Regression models at the school level of analysis used teacher and student measures of disciplinary structure, student support, and academic expectations to predict overall high…

  18. A Logical Process Calculus

    Science.gov (United States)

    Cleaveland, Rance; Luettgen, Gerald; Bushnell, Dennis M. (Technical Monitor)

    2002-01-01

    This paper presents the Logical Process Calculus (LPC), a formalism that supports heterogeneous system specifications containing both operational and declarative subspecifications. Syntactically, LPC extends Milner's Calculus of Communicating Systems with operators from the alternation-free linear-time mu-calculus (LT(mu)). Semantically, LPC is equipped with a behavioral preorder that generalizes Hennessy's and DeNicola's must-testing preorder as well as LT(mu's) satisfaction relation, while being compositional for all LPC operators. From a technical point of view, the new calculus is distinguished by the inclusion of: (1) both minimal and maximal fixed-point operators and (2) an unimple-mentability predicate on process terms, which tags inconsistent specifications. The utility of LPC is demonstrated by means of an example highlighting the benefits of heterogeneous system specification.

  19. Generalized Gaussian Error Calculus

    CERN Document Server

    Grabe, Michael

    2010-01-01

    For the first time in 200 years Generalized Gaussian Error Calculus addresses a rigorous, complete and self-consistent revision of the Gaussian error calculus. Since experimentalists realized that measurements in general are burdened by unknown systematic errors, the classical, widespread used evaluation procedures scrutinizing the consequences of random errors alone turned out to be obsolete. As a matter of course, the error calculus to-be, treating random and unknown systematic errors side by side, should ensure the consistency and traceability of physical units, physical constants and physical quantities at large. The generalized Gaussian error calculus considers unknown systematic errors to spawn biased estimators. Beyond, random errors are asked to conform to the idea of what the author calls well-defined measuring conditions. The approach features the properties of a building kit: any overall uncertainty turns out to be the sum of a contribution due to random errors, to be taken from a confidence inter...

  20. Reggeon calculus at collider energies

    International Nuclear Information System (INIS)

    Pajares, C.; Varias, A.; Yepes, P.

    1983-01-01

    The phenomenology of the perturbative reggeon calculus at collider energies is studied. It is found that the graphs which were neglected at ISR energies are still negligeable at √s=540 GeV. The perturbative series for the total cross section still converges reasonably fast. The values of the different parameters which describe rightly the data up to ISR energies give rise to a total cross section of around 60 mb at √s=540 GeV. For these values, the corresponding low mass and high mass eikonal series converges much more slowly. The non perturbative reggeon calculus gives rise to a total cross section less than 60 mb. (orig.)

  1. Especially for High School Teachers

    Science.gov (United States)

    Howell, J. Emory

    1999-09-01

    Secondary School Feature Articles * Authentic Research within the Grasp of High School Students, by Annis Hapkiewicz, p 1212 * JCE Classroom Activity #19: Blueprint Photography by the Cyanotype Process, by Glen D. Lawrence and Stuart Fishelson, p 1216A Author Recognition A new program has been instituted to recognize high school teachers who are authors or coauthors of manuscripts published in the Journal. In May, letters were sent to teachers who wrote articles published in JCE beginning with Volume 74 (1997). If you were an author, you should have received a letter from us in late May or early June stating that your high school principal has been sent a Certificate of High School Author Recognition to be presented to you at a suitable occasion. Because the letters were sent late in the school year, you may not see the certificate until fall, or you may not receive your letter until then if we had only your school address. If you have authored or coauthored an article published in JCE and did not receive a letter, please contact me using the information about the Secondary School Chemistry Editor appearing on the Information Page in this issue. Syllabus Swap In the August issue, this column contained an invitation to exchange high school syllabi. The day after my copy of the August issue arrived, I received an email from a teacher indicating an interest in participating in an exchange. If you are interested, check the August "Especially for High School Chemistry Teachers" column for a brief discussion of the informal exchange program, or contact me. Research Conducted by High School Students In his June 1999 editorial "Learning Is a Do-It-Yourself Activity", p 725, John Moore wrote about the need to engage students actively in the learning process. As I have mentioned in this column previously, research conducted by students is one means of accomplishing this goal. In this issue, p 1212, Annis Hapkiewicz explains how she has drawn her Okemos [Michigan] High School

  2. General quantum variational calculus

    Directory of Open Access Journals (Sweden)

    Artur M. C. Brito da Cruz

    2018-02-01

    Full Text Available We develop a new variational calculus based in the general quantum difference operator recently introduced by Hamza et al. In particular, we obtain optimality conditions for generalized variational problems where the Lagrangian may depend on the endpoints conditions and a real parameter, for the basic and isoperimetric problems, with and without fixed boundary conditions. Our results provide a generalization to previous results obtained for the $q$- and Hahn-calculus.

  3. The stack calculus

    Directory of Open Access Journals (Sweden)

    Alberto Carraro

    2013-03-01

    Full Text Available We introduce a functional calculus with simple syntax and operational semantics in which the calculi introduced so far in the Curry-Howard correspondence for Classical Logic can be faithfully encoded. Our calculus enjoys confluence without any restriction. Its type system enforces strong normalization of expressions and it is a sound and complete system for full implicational Classical Logic. We give a very simple denotational semantics which allows easy calculations of the interpretation of expressions.

  4. Discounted Duration Calculus

    DEFF Research Database (Denmark)

    Ody, Heinrich; Fränzle, Martin; Hansen, Michael Reichhardt

    2016-01-01

    To formally reason about the temporal quality of systems discounting was introduced to CTL and LTL. However, these logic are discrete and they cannot express duration properties. In this work we introduce discounting for a variant of Duration Calculus. We prove decidability of model checking...... for a useful fragment of discounted Duration Calculus formulas on timed automata under mild assumptions. Further, we provide an extensive example to show the usefulness of the fragment....

  5. Quantum Variational Calculus

    OpenAIRE

    Malinowska , Agnieszka B.; Torres , Delfim

    2014-01-01

    International audience; Introduces readers to the treatment of the calculus of variations with q-differences and Hahn difference operators Provides the reader with the first extended treatment of quantum variational calculus Shows how the techniques described can be applied to economic models as well as other mathematical systems This Brief puts together two subjects, quantum and variational calculi by considering variational problems involving Hahn quantum operators. The main advantage of it...

  6. Computing for calculus

    CERN Document Server

    Christensen, Mark J

    1981-01-01

    Computing for Calculus focuses on BASIC as the computer language used for solving calculus problems.This book discusses the input statement for numeric variables, advanced intrinsic functions, numerical estimation of limits, and linear approximations and tangents. The elementary estimation of areas, numerical and string arrays, line drawing algorithms, and bisection and secant method are also elaborated. This text likewise covers the implicit functions and differentiation, upper and lower rectangular estimates, Simpson's rule and parabolic approximation, and interpolating polynomials. Other to

  7. Participation in Summer School and High School Graduation in the Sun Valley High School District

    Science.gov (United States)

    Trujillo, Gabriel

    2012-01-01

    This study examines the effectiveness of a summer school credit recovery program in the Sun Valley High School District. Using logistic regression I assess the relationship between race, gender, course failure, school of origin and summer school participation for a sample of students that failed one or more classes in their first year of high…

  8. Carpet Aids Learning in High Performance Schools

    Science.gov (United States)

    Hurd, Frank

    2009-01-01

    The Healthy and High Performance Schools Act of 2002 has set specific federal guidelines for school design, and developed a federal/state partnership program to assist local districts in their school planning. According to the Collaborative for High Performance Schools (CHPS), high-performance schools are, among other things, healthy, comfortable,…

  9. The absolute differential calculus calculus of tensors

    CERN Document Server

    Levi-Cività, Tullio

    1926-01-01

    Written by a towering figure of twentieth-century mathematics, this classic examines the mathematical background necessary for a grasp of relativity theory. Tullio Levi-Civita provides a thorough treatment of the introductory theories that form the basis for discussions of fundamental quadratic forms and absolute differential calculus, and he further explores physical applications.Part one opens with considerations of functional determinants and matrices, advancing to systems of total differential equations, linear partial differential equations, algebraic foundations, and a geometrical intro

  10. Credentialing high school psychology teachers.

    Science.gov (United States)

    Weaver, Kenneth A

    2014-09-01

    The National Standards for High School Psychology Curricula (American Psychological Association, 2013b) require a teacher with considerable psychology content knowledge to teach high school psychology courses effectively. In this study, I examined the initial teaching credential requirements for high school psychology teachers in the 50 states plus the District of Columbia. Thirty-four states (the District of Columbia is included as a state) require the social studies credential to teach high school psychology. An analysis of the items on standardized tests used by states to validate the content knowledge required to teach social studies indicates little or no presence of psychology, a reflection of psychology's meager presence in the social studies teacher preparation curricula. Thus, new teachers with the social studies teaching credential are not prepared to teach high school psychology according to the National Standards. Approval of The College, Career, and Civic Life (C3) Framework for Social Studies State Standards: Guidance for Enhancing the Rigor of K-12 Civics, Economics, Geography, and History (National Council for the Social Studies, 2013) presents an opportunity to advocate for establishing a psychology credential in the 34 states. (c) 2014 APA, all rights reserved.

  11. Bullying among High School Students

    Science.gov (United States)

    Nursel TÜRKMEN, Delia; Halis DOKGÖZ, Mihai; Semra AKGÖZ, Suzana; Bülent EREN, Bogdan Nicolae; Pınar VURAL, Horatiu; Oğuz POLAT, Horatiu

    2013-01-01

    ABSTRACT Objective: The main aim of this research is to investigate the prevalence of bullying behaviour, its victims and the types of bullying and places of bullying among 14-17 year-old adolescents in a sample of school children in Bursa, Turkey. Methodology: A cross-sectional survey questionnaire was conducted among class 1 and class 2 high school students for identification bullying. Results: Majority (96.7%) of the students were involved in bullying behaviours as aggressors or victims. For a male student, the likelihood of being involved in violent behaviours was detected to be nearly 8.4 times higher when compared with a female student. Conclusion: a multidisciplinary approach involving affected children, their parents, school personnel, media, non-govermental organizations, and security units is required to achieve an effective approach for the prevention of violence targeting children in schools as victims and/or perpetrators. PMID:24371478

  12. High school and college biology: A multi-level model of the effects of high school biology courses on student academic performance in introductory college biology courses

    Science.gov (United States)

    Loehr, John Francis

    The issue of student preparation for college study in science has been an ongoing concern for both college-bound students and educators of various levels. This study uses a national sample of college students enrolled in introductory biology courses to address the relationship between high school biology preparation and subsequent introductory college biology performance. Multi-Level Modeling was used to investigate the relationship between students' high school science and mathematics experiences and college biology performance. This analysis controls for student demographic and educational background factors along with factors associated with the college or university attended. The results indicated that high school course-taking and science instructional experiences have the largest impact on student achievement in the first introductory college biology course. In particular, enrollment in courses, such as high school Calculus and Advanced Placement (AP) Biology, along with biology course content that focuses on developing a deep understanding of the topics is found to be positively associated with student achievement in introductory college biology. On the other hand, experiencing high numbers of laboratory activities, demonstrations, and independent projects along with higher levels of laboratory freedom are associated with negative achievement. These findings are relevant to high school biology teachers, college students, their parents, and educators looking beyond the goal of high school graduation.

  13. Catholic High Schools and Rural Academic Achievement.

    Science.gov (United States)

    Sander, William

    1997-01-01

    A study of national longitudinal data examined effects of rural Catholic high schools on mathematics achievement, high school graduation rates, and the likelihood that high school graduates attend college. Findings indicate that rural Catholic high schools had a positive effect on mathematics test scores and no effect on graduation rates or rates…

  14. Especially for High School Teachers

    Science.gov (United States)

    Howell, J. Emory

    1999-12-01

    Chemistry and the Environment This issue contains more than 20 articles relating to the environment. Several articles of potential interest are indicated in the Table of Contents with the SSC mark (). Others are not so indicated because they depict use of expensive instrumentation or costly procedures, but if you have an interest in environmental chemistry you may wish to examine all the environmentally related articles. While many of the articles, both marked and unmarked, are targeted to college-level environmental chemistry curricula or to introductory courses for non-major, the methods described in several could be readily adapted to high school chemistry courses. One article likely to be of interest to teachers is found in News from Online, pp 1608-1609. The author explains how to use the U.S. Environment Protection Agency's EnviroMapper Web site to view and query environmental information. She mentioned finding a hazardous waste handler located near her home, so I decided to check the area near my home. I quickly located a natural gas salt dome storage facility marked on the map and, with a few more mouse clicks, I found information that included status of compliance with regulations, amounts of each compound released to the air in tons per year, and how to contact the corporation owning the site. Email and Web site addresses were included for the convenience of anyone wishing to contact the corporation. Students could learn a great deal about where they live that is relevant to chemistry by using the EPA site. Additional Web sites dealing with environmental issues and chemistry are cited in the sidebar at the bottom of p 1609. Among the articles that could be adapted to an advanced high school chemistry class or possibly even to an introductory class is one titled Bridge of Mandolin County (pp 1671-1672). It describes a case-study strategy similar to the scenarios used in ChemStudy. Students analyze information from various sources, including laboratory

  15. Oral Health Status Of Handicapped Primary School Pupils In Dar Es ...

    African Journals Online (AJOL)

    calculus, with highest mean scores mainly among the blind (p= 0.008). Conclusion: The caries prevalence among handicapped primary school pupils was quite low. However, there was relatively high level of gingival bleeding and calculus. Regarding treatment needs, 23% required dental fillings mainly of one and two ...

  16. Putting Differentials Back into Calculus

    Science.gov (United States)

    Dray, Tevian; Manogue, Corrine A.

    2010-01-01

    We argue that the use of differentials in introductory calculus courses is useful and provides a unifying theme, leading to a coherent view of the calculus. Along the way, we meet several interpretations of differentials, some better than others.

  17. Chaos at High School

    Directory of Open Access Journals (Sweden)

    Tamás Meszéna

    2017-04-01

    Full Text Available We are faced with chaotic processes in many segments of our life: meteorology, environmental pollution, financial and economic processes, sociology, mechanics, electronics, biology, chemistry. The spreading of high-performance computers and the development of simulation methods made the examination of these processes easily available. Regular, periodic motions (pendulum, harmonic oscillatory motion, bouncing ball, as taught at secondary level, become chaotic even due minor changes. If it is true that the most considerable achievements of twentieth century physics were the theory of relativity, quantum mechanics and chaos theory, then it is presumably time to think about, examine and test how and to what extent chaos can be presented to the students. Here I would like to introduce a 12 lesson long facultative curriculum framework on chaos designed for students aged seventeen. The investigation of chaos phenomenon in this work is based on a freeware, “Dynamics Solver”. This software, with some assistance from the teacher, is suitable for classroom use at secondary level.

  18. Braille Goes to High School.

    Science.gov (United States)

    Amato, Sheila

    2003-01-01

    This brief report describes the development and implementation of a unique, full-year, credit-bearing, technology course in literary Braille transcription offered at a Long Island (New York) high school. It describes the program's goals, development, implementation, students, ongoing activities, outreach efforts, and student attitudes. Suggestions…

  19. INSPIRED High School Computing Academies

    Science.gov (United States)

    Doerschuk, Peggy; Liu, Jiangjiang; Mann, Judith

    2011-01-01

    If we are to attract more women and minorities to computing we must engage students at an early age. As part of its mission to increase participation of women and underrepresented minorities in computing, the Increasing Student Participation in Research Development Program (INSPIRED) conducts computing academies for high school students. The…

  20. Especially for High School Teachers

    Science.gov (United States)

    Emory Howell, J.

    1999-11-01

    many of our readers. The High School/College Interface Luncheon was part of the very rich day-long High School Program at the New Orleans ACS Meeting. Shown here (from left) are Glenn Crosby, the luncheon speaker; Lillie Tucker-Akin, the High School Day program chair; and Fred Johnson, Assistant Superintendent of Shelby County (TN) schools and Immediate Past President of NSTA. The recipient of the James Bryant Conant Award in High School Chemistry Teaching is Frank G. Cardulla, who taught for many years at Niles North High School, Skokie, Illinois. His extensive record of service to fellow teachers includes editing the JCE "View from My Classroom" feature for several years and writing several articles, as well as his recent appointment to the JCE Board of Publication. The recipient of the George C. Pimentel Award in Chemical Education is Jerry A. Bell of the American Chemical Society in Washington, DC. An author of numerous articles appearing in JCE and a member of the JCE Board of Publication for several years, he currently serves as Board Chair. The 16th Biennial Conference on Chemical Education Readers who attended the 15th BCCE in Waterloo, Ontario, know that much of the programming at these conferences is of interest to high school teachers. Many work shops, papers, and demonstrations are presented by high school teachers. There are many other outstanding papers and posters, plenary speakers, and exciting demonstrations. The 16th BCCE will be held at the University of Michigan in Ann Arbor, July 30-August 3, 2000. Among the high school teachers already scheduled to present workshops at the 16th BCCE are George Hague, Lynn Hershey, and Jack Randall, and there will be many more before the program is completed. The High School Chemistry Program Chair is Tim Graham, Roosevelt High School (MI). The Organizing Committee is seeking the assistance of local sections of the American Chemical Society within a 300-mile radius of Ann Arbor in providing support for high school

  1. Quantum variational calculus

    CERN Document Server

    Malinowska, Agnieszka B

    2014-01-01

    This Brief puts together two subjects, quantum and variational calculi by considering variational problems involving Hahn quantum operators. The main advantage of its results is that they are able to deal with nondifferentiable (even discontinuous) functions, which are important in applications. Possible applications in economics are discussed. Economists model time as continuous or discrete. Although individual economic decisions are generally made at discrete time intervals, they may well be less than perfectly synchronized in ways discrete models postulate. On the other hand, the usual assumption that economic activity takes place continuously, is nothing else than a convenient abstraction that in many applications is far from reality. The Hahn quantum calculus helps to bridge the gap between the two families of models: continuous and discrete. Quantum Variational Calculus is self-contained and unified in presentation. It provides an opportunity for an introduction to the quantum calculus of variations fo...

  2. Noncommutative operational calculus

    Directory of Open Access Journals (Sweden)

    Henry E. Heatherly

    1999-12-01

    Full Text Available Oliver Heaviside's operational calculus was placed on a rigorous mathematical basis by Jan Mikusinski, who constructed an algebraic setting for the operational methods. In this paper, we generalize Mikusi'{n}ski's methods to solve linear ordinary differential equations in which the unknown is a matrix- or linear operator-valued function. Because these functions can be zero-divisors and do not necessarily commute, Mikusi'{n}ski's one-dimensional calculus cannot be used. The noncommuative operational calculus developed here,however, is used to solve a wide class of such equations. In addition, we provide new proofs of existence and uniqueness theorems for certain matrix- and operator valued Volterra integral and integro-differential equations. Several examples are given which demonstrate these new methods.

  3. Topology, calculus and approximation

    CERN Document Server

    Komornik, Vilmos

    2017-01-01

    Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, but almost forgotten, classical theorems of Descartes, Erdős, Fejér, Stieltjes, and Turán. The exposition style of Topology, Calculus and Approximation follows the Hungarian mathematical tradition of Paul Erdős and others. In the first part, the classical results of Alexandroff, Cantor, Hausdorff, Helly, Peano, Radon, Tietze and Urysohn illustrate the theories of metric, topological and normed spaces. Following this, the general framework of normed spaces and Carathéodory's definition of the derivative are shown to simplify the statement and proof of various theorems in calculus and ordinary differential equations. The third and final part is devoted to interpolation, orthogonal polynomials, numerical integration, asymptotic expansions and the numerical solution of algebraic and differential equations. Students of both pure an...

  4. Maxima and Minima Without Calculus.

    Science.gov (United States)

    Birnbaum, Ian

    1982-01-01

    Approaches to extrema that do not require calculus are presented to help free maxima/minima problems from the confines of calculus. Many students falsely suppose that these types of problems can only be dealt with through calculus, since few, if any, noncalculus examples are usually presented. (MP)

  5. The calculus primer

    CERN Document Server

    Schaaf, William L

    2011-01-01

    Comprehensive but concise, this introduction to differential and integral calculus covers all the topics usually included in a first course. The straightforward development places less emphasis on mathematical rigor, and the informal manner of presentation sets students at ease. Many carefully worked-out examples illuminate the text, in addition to numerous diagrams, problems, and answers.Bearing the needs of beginners constantly in mind, the treatment covers all the basic concepts of calculus: functions, derivatives, differentiation of algebraic and transcendental functions, partial different

  6. A calculus for quality

    DEFF Research Database (Denmark)

    Nielson, Hanne Riis; Nielson, Flemming; Vigo, Roberto

    2013-01-01

    for default behaviour in case the ideal behaviour fails due to unreliable communication and thereby to increase the quality of service offered by the systems. The development is facilitated by a SAT-based robustness analysis to determine whether or not the code is vulnerable to unreliable communication......A main challenge of programming component-based software is to ensure that the components continue to behave in a reasonable manner even when communication becomes unreliable. We propose a process calculus, the Quality Calculus, for programming software components where it becomes natural to plan...

  7. Functional Fractional Calculus

    CERN Document Server

    Das, Shantanu

    2011-01-01

    When a new extraordinary and outstanding theory is stated, it has to face criticism and skeptism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its application to real life problems. It is extraordinary because it does not deal with 'ordinary' differential calculus. It is outstanding because it can now be applied to situations where existing theories fail to give satisfactory results. In this book not only mathematical abstractions are discussed in a lucid manner, with physical mathematic

  8. Two-dimensional calculus

    CERN Document Server

    Osserman, Robert

    2011-01-01

    The basic component of several-variable calculus, two-dimensional calculus is vital to mastery of the broader field. This extensive treatment of the subject offers the advantage of a thorough integration of linear algebra and materials, which aids readers in the development of geometric intuition. An introductory chapter presents background information on vectors in the plane, plane curves, and functions of two variables. Subsequent chapters address differentiation, transformations, and integration. Each chapter concludes with problem sets, and answers to selected exercises appear at the end o

  9. A Giant Urethral Calculus.

    Science.gov (United States)

    Sigdel, G; Agarwal, A; Keshaw, B W

    2014-01-01

    Urethral calculi are rare forms of urolithiasis. Majority of the calculi are migratory from urinary bladder or upper urinary tract. Primary urethral calculi usually occur in presence of urethral stricture or diverticulum. In this article we report a case of a giant posterior urethral calculus measuring 7x3x2 cm in a 47 years old male. Patient presented with acute retention of urine which was preceded by burning micturition and dribbling of urine for one week. The calculus was pushed in to the bladder through the cystoscope and was removed by suprapubic cystolithotomy.

  10. Schaum's outline of calculus

    CERN Document Server

    Ayres, Frank

    1999-01-01

    Students can gain a thorough understanding of differential and integral calculus with this powerful study tool. They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide­­--more than 104,000 copies were bought of the prior edition--­­includes problems and examples using graphing calculators.

  11. Discrete Calculus by Analogy

    CERN Document Server

    Izadi, F A; Bagirov, G

    2009-01-01

    With its origins stretching back several centuries, discrete calculus is now an increasingly central methodology for many problems related to discrete systems and algorithms. The topics covered here usually arise in many branches of science and technology, especially in discrete mathematics, numerical analysis, statistics and probability theory as well as in electrical engineering, but our viewpoint here is that these topics belong to a much more general realm of mathematics; namely calculus and differential equations because of the remarkable analogy of the subject to this branch of mathemati

  12. The dagger lambda calculus

    Directory of Open Access Journals (Sweden)

    Philip Atzemoglou

    2014-12-01

    Full Text Available We present a novel lambda calculus that casts the categorical approach to the study of quantum protocols into the rich and well established tradition of type theory. Our construction extends the linear typed lambda calculus with a linear negation of "trivialised" De Morgan duality. Reduction is realised through explicit substitution, based on a symmetric notion of binding of global scope, with rules acting on the entire typing judgement instead of on a specific subterm. Proofs of subject reduction, confluence, strong normalisation and consistency are provided, and the language is shown to be an internal language for dagger compact categories.

  13. School-Within-A-School (Hawaii Nui High) Hilo High School Report 1969-70.

    Science.gov (United States)

    Hawaii Univ., Honolulu. Social Welfare Development and Research Center.

    The second year of operation of Hilo High School's "School-Within-A-School" [SWS] program is evaluated in this paper. Planning, training, and program implementation are described in the document. The following are the results of the program: There was an improvement in attendance among project students when compared to their record in…

  14. Middle School Concept Helps High-Poverty Schools Become High-Performing Schools

    Science.gov (United States)

    Picucci, Ali Callicoatte; Brownson, Amanda; Kahlert, Rahel; Sobel, Andrew

    2004-01-01

    The results of a study conducted by the Charles A. Dana Center at the University of Texas at Austin for the U.S. Department of Education during the 2001-02 school year showed that elements of the middle school concept can lead to improved student performance, even in high-poverty schools. This article describes common elements of the middle school…

  15. Authoritative school climate and high school dropout rates.

    Science.gov (United States)

    Jia, Yuane; Konold, Timothy R; Cornell, Dewey

    2016-06-01

    This study tested the association between school-wide measures of an authoritative school climate and high school dropout rates in a statewide sample of 315 high schools. Regression models at the school level of analysis used teacher and student measures of disciplinary structure, student support, and academic expectations to predict overall high school dropout rates. Analyses controlled for school demographics of school enrollment size, percentage of low-income students, percentage of minority students, and urbanicity. Consistent with authoritative school climate theory, moderation analyses found that when students perceive their teachers as supportive, high academic expectations are associated with lower dropout rates. (PsycINFO Database Record (c) 2016 APA, all rights reserved).

  16. Teaching and learning of pre-calculus: an insights of educators ...

    African Journals Online (AJOL)

    The high-failure of Calculus courses has bring dilemma to the educators worldwide. This study has focus on teaching and learning of Pre-Calculus, a fundamental course for higher level Calculus courses. A well-designed questionnaire was distributed to all respondents to find the difficulties faced by both lecturers and ...

  17. Simultaneous quantification of the major bile acids in artificial Calculus bovis by high-performance liquid chromatography with precolumn derivatization and its application in quality control.

    Science.gov (United States)

    Shi, Yan; Xiong, Jing; Sun, Dongmei; Liu, Wei; Wei, Feng; Ma, Shuangcheng; Lin, Ruichao

    2015-08-01

    An accurate and sensitive high-performance liquid chromatography method coupled with ultralviolet detection and precolumn derivatization was developed for the simultaneous quantification of the major bile acids in Artificial Calculus bovis, including cholic acid, hyodeoxycholic acid, chenodeoxycholic acid, and deoxycholic acid. The extraction, derivatization, chromatographic separation, and detection parameters were fully optimized. The samples were extracted with methanol by ultrasonic extraction. Then, 2-bromine-4'-nitroacetophenone and 18-crown ether-6 were used for derivatization. The chromatographic separation was performed on an Agilent SB-C18 column (250 × 4.6 mm id, 5 μm) at a column temperature of 30°C and liquid flow rate of 1.0 mL/min using water and methanol as the mobile phase with a gradient elution. The detection wavelength was 263 nm. The method was extensively validated by evaluating the linearity (r(2) ≥ 0.9980), recovery (94.24-98.91%), limits of detection (0.25-0.31 ng) and limits of quantification (0.83-1.02 ng). Seventeen samples were analyzed using the developed and validated method. Then, the amounts of bile acids were analyzed by hierarchical agglomerative clustering analysis and principal component analysis. The results of the chemometric analysis showed that the contents of these compounds reflect the intrinsic quality of artificial Calculus bovis, and two compounds (hyodeoxycholic acid and chenodeoxycholic acid) were the most important markers for quality evaluating. © 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

  18. Ancient DNA analysis of dental calculus.

    Science.gov (United States)

    Weyrich, Laura S; Dobney, Keith; Cooper, Alan

    2015-02-01

    Dental calculus (calcified tartar or plaque) is today widespread on modern human teeth around the world. A combination of soft starchy foods, changing acidity of the oral environment, genetic pre-disposition, and the absence of dental hygiene all lead to the build-up of microorganisms and food debris on the tooth crown, which eventually calcifies through a complex process of mineralisation. Millions of oral microbes are trapped and preserved within this mineralised matrix, including pathogens associated with the oral cavity and airways, masticated food debris, and other types of extraneous particles that enter the mouth. As a result, archaeologists and anthropologists are increasingly using ancient human dental calculus to explore broad aspects of past human diet and health. Most recently, high-throughput DNA sequencing of ancient dental calculus has provided valuable insights into the evolution of the oral microbiome and shed new light on the impacts of some of the major biocultural transitions on human health throughout history and prehistory. Here, we provide a brief historical overview of archaeological dental calculus research, and discuss the current approaches to ancient DNA sampling and sequencing. Novel applications of ancient DNA from dental calculus are discussed, highlighting the considerable scope of this new research field for evolutionary biology and modern medicine. Copyright © 2014 Elsevier Ltd. All rights reserved.

  19. Matlab differential and integral calculus

    CERN Document Server

    Lopez, Cesar

    2014-01-01

    MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. MATLAB Differential and Integral Calculus introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. In addition to givi

  20. Modern calculus and analytic geometry

    CERN Document Server

    Silverman, Richard A

    2012-01-01

    A self-contained text for an introductory course, this volume places strong emphasis on physical applications. Key elements of differential equations and linear algebra are introduced early and are consistently referenced, all theorems are proved using elementary methods, and numerous worked-out examples appear throughout. The highly readable text approaches calculus from the student's viewpoint and points out potential stumbling blocks before they develop. A collection of more than 1,600 problems ranges from exercise material to exploration of new points of theory - many of the answers are fo

  1. Especially for High School Teachers

    Science.gov (United States)

    Howell, J. Emory

    1999-08-01

    Care to Share? An Informal Syllabus Exchange A recent email message from Thomas Shiland, who teaches at Saratoga Springs Senior High School, noted that the process of revising the high school chemistry syllabus is underway in New York State. He expressed a strong interest in helping construct a chemistry syllabus that represents the best thinking about appropriate content. He wondered if it would be possible to develop a way in which different secondary chemistry syllabi could easily be exchanged. It is likely that readers from other states and countries are involved in a similar process and might also be interested in exchanging syllabi. Many states do not use the term syllabus to describe their guiding curricular document for chemistry but rather refer to it as a framework or as guidelines. In most cases, the document includes a list of key ideas or topics, performance indicators, and the major understandings associated with each key idea. Such documents would be appropriate for exchange among those of you involved in the revision process. If you are interested in arranging an exchange please contact me by email at j.e.howell@usm.edu or by mail at J. E. Howell, Box 5043, USM, Hattiesburg, MS39406-5043, USA. High School Day Information The High School Chemistry Program at the American Chemical Society National Meeting in New Orleans, Louisiana will be held Sunday, August 22, 1999, at the Doubletree Hotel, 300 Canal Street. If you wish to register only for the High School Day activities, which includes a pass to the ACS Exposition, a special registration form is available from Lillie Tucker-Akin, 2800 Reynard Dr., Tupelo, MS38801; sci4me@aol.com; fax: 662/566-7906. Advance registration is 25 and the cost of the High School Luncheon is 12. Register in advance by August 1, 1999, or from 7:45 to 8:30 a.m. at the High School Day table in the conference room area of the Doubletree. The workshop schedule is shown below. Secondary School Feature Articles * Exploring the

  2. Calculus and Geometry

    Indian Academy of Sciences (India)

    IAS Admin

    Sphere–Cylinder Theorem, vol- ume and surface area of the torus, volume and surface area of a slice of a solid sphere. The author earned his PhD degree in mathematics. (topology), in 2000, from. Panjab University,. Chandigarh and since then he has been teaching analysis, algebra, calculus and discrete mathematics at.

  3. On Functional Calculus Estimates

    NARCIS (Netherlands)

    Schwenninger, F.L.

    2015-01-01

    This thesis presents various results within the field of operator theory that are formulated in estimates for functional calculi. Functional calculus is the general concept of defining operators of the form $f(A)$, where f is a function and $A$ is an operator, typically on a Banach space. Norm

  4. Provability Calculus of Constructions

    DEFF Research Database (Denmark)

    Nyblad, Kasten

    This thesis presents a type system, Provability Calculus of Constructions (PCoC) that can be used for the formalization of logic. In a theorem prover based on the system, the user can extend the prover with new inference rules in a logically consistent manner. This is done by representing PCo...

  5. Calculus Courses' Assessment Data

    Science.gov (United States)

    Pauna, Matti

    2017-01-01

    In this paper we describe computer-aided assessment methods used in online Calculus courses and the data they produce. The online learning environment collects a lot of time-stamped data about every action a student makes. Assessment data can be harnessed into use as a feedback, predictor, and recommendation facility for students and instructors.…

  6. Duration Calculus: Logical Foundations

    DEFF Research Database (Denmark)

    Hansen, Michael Reichhardt; Chaochen, Zhou

    1997-01-01

    The Duration Calculus (abbreviated DC) represents a logical approach to formal design of real-time systems, where real numbers are used to model time and Boolean valued functions over time are used to model states and events of real-time systems. Since it introduction, DC has been applied to many...

  7. Giant vesical calculus

    African Journals Online (AJOL)

    Giant vesical calculus. A case report. H. H. LAUBSCHER. Summary. An exceptional case of bladder stone is presented. The case is unusual as regards the size of the stone and the fact that the patient did··not seek medical assistance much earlier, as this was readily avail- able. Furthermore, recovery after removal of the.

  8. Lacroix and the calculus

    CERN Document Server

    Domingues, João Caramalho

    2008-01-01

    Silvestre François Lacroix (Paris, 1765 - ibid., 1843) was a most influential mathematical book author. His most famous work is the three-volume Traité du calcul différentiel et du calcul intégral (1797-1800; 2nd ed. 1810-1819) – an encyclopedic appraisal of 18th-century calculus which remained the standard reference on the subject through much of the 19th century, in spite of Cauchy's reform of the subject in the 1820's. Lacroix and the Calculus is the first major study of Lacroix’s large Traité. It uses the unique and massive bibliography given by Lacroix to explore late 18th-century calculus, and the way it is reflected in Lacroix’s account. Several particular aspects are addressed in detail, including: the foundations of differential calculus, analytic and differential geometry, conceptions of the integral, and types of solutions of differential equations (singular/complete/general integrals, geometrical interpretations, and generality of arbitrary functions). Lacroix’s large Traité... was a...

  9. Especially for High School Teachers

    Science.gov (United States)

    Howell, J. Emory

    1999-07-01

    Secondary School Feature Articles * Super Science Connections, by Patricia B. McKean, p 916 * A pHorseshoe, by Roger Plumsky, p 935 National Conferences in Your Part of the Country For the past several months, considerable space in this column has been devoted to forthcoming national conferences and conventions and to highlights of conferences past. For some of us, location is fairly unimportant; but for most of us travel costs and time are both factors to consider when choosing a conference. The community of high school chemistry teachers is favored by the number of national conventions and conferences that are held each year in different locations. In 1999, for example, the spring National Meeting of the American Chemical Society was in Anaheim and the National Science Teachers Association National Convention was in Boston. This summer CHEMED '99 will be held in Fairfield, CT, August 1-5, and the fall National ACS Meeting will be in New Orleans. Teachers from the mid-South especially should consider attending the High School Program at New Orleans, described below by Lillie Tucker Akin, Chairperson of the Division's High School Program Committee. The event will be held on Sunday to minimize conflicts with the beginning of the school year. JCE at CHEMED '99 Stop by the JCE booth at CHEMED '99 in the exhibits area to learn more about the wide array of print and nonprint resources you can use in your classroom and laboratory. Members of the editorial staff will be on hand to talk with you. You are invited to participate in a workshop, "Promoting Active Learning through JCE Activity Sheets and Software", on Monday, August 1, 8:30-10:30. The free hands-on workshop is number WT11 and we encourage you to include it among your choices in the blanks provided on the third page of the registration form. We will also conduct an interactive session to listen to ideas for making the Journal more useful to you. Check the final program for location and time or inquire at the JCE

  10. Sexting by High School Students.

    Science.gov (United States)

    Strassberg, Donald S; Cann, Deanna; Velarde, Valerie

    2017-08-01

    In the last 8 years, several studies have documented that many adolescents acknowledge having exchanged sexually explicit cell phone pictures of themselves, a behavior termed sexting. Differences across studies in how sexting was defined, recruitment strategies, and cohort have resulted in sometimes significant differences in as basic a metric as what percentage of adolescents have sent, received, or forwarded such sexts. The psychosocial and even legal risks associated with sexting by minors are significantly serious that accurate estimates of its prevalence, including over time, are important to ascertain. In the present study, students (N = 656) from a single private high school were surveyed regarding their participation in sexting. Students at this same school were similarly surveyed four years earlier. In this second survey, reported rates of sending (males 15.8%; females 13.6%) and receiving (males 40.5%; females 30.6%) sexually explicit cell phone pictures (revealing genitals or buttocks of either sex or female breasts) were generally similar to those reported at the same school 4 years earlier. Rates of forwarding sexts (males 12.2%; females 7.6%) were much lower than those previously acknowledged at this school. Correlates of sexting in this study were similar to those reported previously. Overall, our findings suggest that sexting by adolescents (with the exception of forwarding) remains a fairly common behavior, despite its risks.

  11. Modular invariance and covariant loop calculus

    International Nuclear Information System (INIS)

    Petersen, J.L.; Roland, K.O.; Sidenius, J.R.

    1988-01-01

    The covariant loop calculus provides and efficient technique for computing explicit expressions for the density on moduli space corresponding to arbitrary (bosonic string) loop diagrams. Since modular invariance is not manifest, however, we carry out a detailed comparison with known explicit 2- and 3- loop results derived using analytic geometry (1 loop is known to be ok). We establish identity to 'high' order in some moduli and exactly in others. Agreement is found as a result of various non-trivial cancellations, in part related to number theory. We feel our results provide very strong support for the correctness of the covariant loop calculus approach. (orig.)

  12. Modular invariance and covariant loop calculus

    International Nuclear Information System (INIS)

    Petersen, J.L.; Roland, K.O.; Sidenius, J.R.

    1988-01-01

    The covariant loop calculus provides an efficient technique for computing explicit expressions for the density on moduli space corresponding to arbitrary (bosonic string) loop diagrams. Since modular invariance is not manifest, however, we carry out a detailed comparison with known explicit two- and three-loop results derived using analytic geometry (one loop is known to be okay). We establish identity to 'high' order in some moduli and exactly in others. Agreement is found as a result of various nontrivial cancellations, in part related to number theory. We feel our results provide very strong support for the correctness of the covariant loop calculus approach. (orig.)

  13. Indoor Air Quality in High Performance Schools

    Science.gov (United States)

    High performance schools are facilities that improve the learning environment while saving energy, resources, and money. The key is understanding the lifetime value of high performance schools and effectively managing priorities, time, and budget.

  14. Teaching Ethics to High School Students

    Science.gov (United States)

    Pass, Susan; Willingham, Wendy

    2009-01-01

    Working with two teachers and thirty-four high school seniors, the authors developed procedures and assessments to teach ethics in an American high school civics class. This approach requires high school students to discover an agreement or convergence between Kantian ethics and virtue ethics. The authors also created an instrument to measure…

  15. How High School Students Select a College.

    Science.gov (United States)

    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…

  16. A Calculus of Located Entities

    Directory of Open Access Journals (Sweden)

    Adriana Compagnoni

    2014-03-01

    Full Text Available We define BioScapeL, a stochastic pi-calculus in 3D-space. A novel aspect of BioScapeL is that entities have programmable locations. The programmer can specify a particular location where to place an entity, or a location relative to the current location of the entity. The motivation for the extension comes from the need to describe the evolution of populations of biochemical species in space, while keeping a sufficiently high level description, so that phenomena like diffusion, collision, and confinement can remain part of the semantics of the calculus. Combined with the random diffusion movement inherited from BioScape, programmable locations allow us to capture the assemblies of configurations of polymers, oligomers, and complexes such as microtubules or actin filaments. Further new aspects of BioScapeL include random translation and scaling. Random translation is instrumental in describing the location of new entities relative to the old ones. For example, when a cell secretes a hydronium ion, the ion should be placed at a given distance from the originating cell, but in a random direction. Additionally, scaling allows us to capture at a high level events such as division and growth; for example, daughter cells after mitosis have half the size of the mother cell.

  17. Stochastic integration by parts and functional Itô calculus

    CERN Document Server

    Vives, Josep

    2016-01-01

    This volume contains lecture notes from the courses given by Vlad Bally and Rama Cont at the Barcelona Summer School on Stochastic Analysis (July 2012). The notes of the course by Vlad Bally, co-authored with Lucia Caramellino, develop integration by parts formulas in an abstract setting, extending Malliavin's work on abstract Wiener spaces. The results are applied to prove absolute continuity and regularity results of the density for a broad class of random processes. Rama Cont's notes provide an introduction to the Functional Itô Calculus, a non-anticipative functional calculus that extends the classical Itô calculus to path-dependent functionals of stochastic processes. This calculus leads to a new class of path-dependent partial differential equations, termed Functional Kolmogorov Equations, which arise in the study of martingales and forward-backward stochastic differential equations. This book will appeal to both young and senior researchers in probability and stochastic processes, as well as to pract...

  18. Fractional and multivariable calculus model building and optimization problems

    CERN Document Server

    Mathai, A M

    2017-01-01

    This textbook presents a rigorous approach to multivariable calculus in the context of model building and optimization problems. This comprehensive overview is based on lectures given at five SERC Schools from 2008 to 2012 and covers a broad range of topics that will enable readers to understand and create deterministic and nondeterministic models. Researchers, advanced undergraduate, and graduate students in mathematics, statistics, physics, engineering, and biological sciences will find this book to be a valuable resource for finding appropriate models to describe real-life situations. The first chapter begins with an introduction to fractional calculus moving on to discuss fractional integrals, fractional derivatives, fractional differential equations and their solutions. Multivariable calculus is covered in the second chapter and introduces the fundamentals of multivariable calculus (multivariable functions, limits and continuity, differentiability, directional derivatives and expansions of multivariable ...

  19. Finite-dimensional calculus

    International Nuclear Information System (INIS)

    Feinsilver, Philip; Schott, Rene

    2009-01-01

    We discuss topics related to finite-dimensional calculus in the context of finite-dimensional quantum mechanics. The truncated Heisenberg-Weyl algebra is called a TAA algebra after Tekin, Aydin and Arik who formulated it in terms of orthofermions. It is shown how to use a matrix approach to implement analytic representations of the Heisenberg-Weyl algebra in univariate and multivariate settings. We provide examples for the univariate case. Krawtchouk polynomials are presented in detail, including a review of Krawtchouk polynomials that illustrates some curious properties of the Heisenberg-Weyl algebra, as well as presenting an approach to computing Krawtchouk expansions. From a mathematical perspective, we are providing indications as to how to implement infinite terms Rota's 'finite operator calculus'.

  20. Multivariate calculus and geometry

    CERN Document Server

    Dineen, Seán

    2014-01-01

    Multivariate calculus can be understood best by combining geometric insight, intuitive arguments, detailed explanations and mathematical reasoning. This textbook has successfully followed this programme. It additionally provides a solid description of the basic concepts, via familiar examples, which are then tested in technically demanding situations. In this new edition the introductory chapter and two of the chapters on the geometry of surfaces have been revised. Some exercises have been replaced and others provided with expanded solutions. Familiarity with partial derivatives and a course in linear algebra are essential prerequisites for readers of this book. Multivariate Calculus and Geometry is aimed primarily at higher level undergraduates in the mathematical sciences. The inclusion of many practical examples involving problems of several variables will appeal to mathematics, science and engineering students.

  1. On paragrassmann differential calculus

    International Nuclear Information System (INIS)

    Filippov, A.T.; Isaev, A.P.; Kurdikov, A.B.

    1992-01-01

    The paper significantly extends and generalizes our previous paper. Here we discuss explicit general constructions for paragrassmann calculus with one and many variables. For one variable nondegenerate differentiation algebras are identified and shown to be equivalent to the algebra of (p+1)x(p+1) complex matrices. For many variables we give a general construction of the differentiation algebras. Some particular examples are related to the multiparametric quantum deformations of the harmonic oscillators. 18 refs

  2. Calculus III essentials

    CERN Document Server

    REA, Editors of

    2012-01-01

    REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Calculus III includes vector analysis, real valued functions, partial differentiation, multiple integrations, vector fields, and infinite series.

  3. Boolean integral calculus

    Science.gov (United States)

    Tucker, Jerry H.; Tapia, Moiez A.; Bennett, A. Wayne

    1988-01-01

    The concept of Boolean integration is developed, and different Boolean integral operators are introduced. Given the changes in a desired function in terms of the changes in its arguments, the ways of 'integrating' (i.e. realizing) such a function, if it exists, are presented. The necessary and sufficient conditions for integrating, in different senses, the expression specifying the changes are obtained. Boolean calculus has applications in the design of logic circuits and in fault analysis.

  4. Pre-calculus essentials

    CERN Document Server

    Woodward, Ernest

    2012-01-01

    REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Pre-Calculus reviews sets, numbers, operations and properties, coordinate geometry, fundamental algebraic topics, solving equations and inequalities, functions, trigonometry, exponents

  5. Understanding the calculus

    OpenAIRE

    Tall, David

    1985-01-01

    A number of significant changes have have occurred recently that give us a golden opportunity to review the teaching of calculus. The most obvious is the arrival of the microcomputer in the mathematics classroom, allowing graphic demonstrations and individual investigations into the mathematical ideas. But equally potent are new\\ud insights into mathematics and mathematics education that suggest new ways of approaching the subject.\\ud In this article I shall consider some of the difficulties ...

  6. The umbral calculus

    CERN Document Server

    Roman, Steven

    2005-01-01

    Geared toward upper-level undergraduates and graduate students, this elementary introduction to classical umbral calculus requires only an acquaintance with the basic notions of algebra and a bit of applied mathematics (such as differential equations) to help put the theory in mathematical perspective. Subjects include Sheffer sequences and operators and their adjoints, with numerous examples of associated and other sequences. Related topics encompass the connection constants problem and duplication formulas, the Lagrange inversion formula, operational formulas, inverse relations, and binomial

  7. Graded tensor calculus

    International Nuclear Information System (INIS)

    Scheunert, M.

    1982-10-01

    We develop a graded tensor calculus corresponding to arbitrary Abelian groups of degrees and arbitrary commutation factors. The standard basic constructions and definitions like tensor products, spaces of multilinear mappings, contractions, symmetrization, symmetric algebra, as well as the transpose, adjoint, and trace of a linear mapping, are generalized to the graded case and a multitude of canonical isomorphisms is presented. Moreover, the graded versions of the classical Lie algebras are introduced and some of their basic properties are described. (orig.)

  8. Calculus with vectors

    CERN Document Server

    Treiman, Jay S

    2014-01-01

    Calculus with Vectors grew out of a strong need for a beginning calculus textbook for undergraduates who intend to pursue careers in STEM. fields. The approach introduces vector-valued functions from the start, emphasizing the connections between one-variable and multi-variable calculus. The text includes early vectors and early transcendentals and includes a rigorous but informal approach to vectors. Examples and focused applications are well presented along with an abundance of motivating exercises. All three-dimensional graphs have rotatable versions included as extra source materials and may be freely downloaded and manipulated with Maple Player; a free Maple Player App is available for the iPad on iTunes. The approaches taken to topics such as the derivation of the derivatives of sine and cosine, the approach to limits, and the use of "tables" of integration have been modified from the standards seen in other textbooks in order to maximize the ease with which students may comprehend the material. Additio...

  9. Especially for High School Teachers

    Science.gov (United States)

    Howell, J. Emory

    2000-02-01

    Secondary School Feature Articles JCE Classroom Activity: #24. The Write Stuff: Using Paper Chromatography to Separate an Ink Mixture, p 176A Teaching Chemistry in the Midwinter Every year, forecasters around the world provide us with long-range predictions of what the seasons will afford us in the coming year. And each year, the weather provides a few surprises that the forecasters did not predict - such as a record amount of snow or record heat indexes, depending on where you live. Although the weatherman didn't predict it, we still must pull out our snow shovels or sun block and take the necessary steps to adapt to the situation. As teachers, we make predictions of teaching and learning goals that we aspire to achieve during a given year, and like the weather, the year brings surprises that aren't in line with our predictions. With that in mind, I would like to offer JCE as the scholastic snow shovel or sun shield you need to jump-start your class and reach the goals you have set. So find a warm (or cool) place, get comfortable, and spend some time with the February issue of JCE. Articles of General Interest in This Issue For readers living where snow falls, Williams's article on page 148 offers some historical background on the use of calcium chloride as a deicer. A diver that depends for its buoyancy upon gas given off by a chemical reaction is described by Derr, Lewis, and Derr in the article beginning on page 171. In her article appearing on pages 249-250, Wang describes a laboratory exercise that makes the mastery of solution preparation skills fun. The students' skill is tested by using the solutions they make to carry out the Briggs-Rauscher oscillating reaction. For high school class applications I recommend use of 3% hydrogen peroxide, described as an option in the article. A well-organized approach to separating an ink mixture, with some possibly new twists, is laid out in the student- and teacher-friendly format of JCE Classroom Activity: #24, pages

  10. School connectedness and high school graduation among maltreated youth.

    Science.gov (United States)

    Lemkin, Allison; Kistin, Caroline J; Cabral, Howard J; Aschengrau, Ann; Bair-Merritt, Megan

    2018-01-01

    Maltreated youth have higher rates of school dropout than their non-maltreated peers. School connectedness is a modifiable predictor of school success. We hypothesized maltreated youth's school connectedness (supportive relationships with adults at school and participation in school clubs) would be positively associated with high school graduation. We included youth with at least one Child Protective Services (CPS) report by age twelve from Longitudinal Studies of Child Abuse and Neglect, a prospective cohort study. Participation in extracurricular activities and adult relationships reported at age 16, high school graduation/General Education Development (GED) status reported at age 18, and demographics were provided by youth and caregivers. Maltreatment data were coded from CPS records. The outcome was graduation/receipt of GED. Multivariable logistic regressions examined the association between school connectedness and graduation/receipt of GED, controlling for confounders. In our sample of 318 maltreated youth, 73.3% graduated. School club was the only activity with a statistically significant association with graduation in bivariate analysis. Having supportive relationships with an adult at school was not significantly associated with graduation, though only 10.7% of youth reported this relationship. Maltreated youth who participated in school clubs had 2.54 times the odds of graduating, adjusted for study site, gender, poverty status, caregiver high school graduation status, and age at first CPS report (95% CI: [1.02, 6.33]). Few maltreated youth reported relationships with adults at school, and additional efforts may be needed to support these vulnerable youth. School club participation may represent an opportunity to modify maltreated youth's risk for school dropout. Copyright © 2017 Elsevier Ltd. All rights reserved.

  11. Differential Calculus on Quantum Spheres

    OpenAIRE

    Welk, Martin

    1998-01-01

    We study covariant differential calculus on the quantum spheres S_q^2N-1. Two classification results for covariant first order differential calculi are proved. As an important step towards a description of the noncommutative geometry of the quantum spheres, a framework of covariant differential calculus is established, including a particular first order calculus obtained by factorization, higher order calculi and a symmetry concept.

  12. Introduction to the operational calculus

    CERN Document Server

    Berg, Lothar

    2013-01-01

    Introduction to the Operational Calculus is a translation of ""Einfuhrung in die Operatorenrechnung, Second Edition."" This book deals with Heaviside's interpretation, on the Laplace integral, and on Jan Mikusinki's fundamental work ""Operational Calculus."" Throughout the book, basic algebraic concepts appear as aids to understanding some relevant points of the subject. An important field for research in analysis is asymptotic properties. This text also discusses examples to show the potentialities in applying operational calculus that run beyond ordinary differential equations with constant

  13. Teacher Accountability at High Performing Charter Schools

    Science.gov (United States)

    Aguirre, Moises G.

    2016-01-01

    This study will examine the teacher accountability and evaluation policies and practices at three high performing charter schools located in San Diego County, California. Charter schools are exempted from many laws, rules, and regulations that apply to traditional school systems. By examining the teacher accountability systems at high performing…

  14. A comparison of conventional intraoral radiography and computer imaging techniques for the detection of proximal surface calculus

    International Nuclear Information System (INIS)

    Kang, Byung Cheol

    1994-01-01

    The present results indicates that the sensitivity for the proximal calculus was high, but there are different sensitivities among the observer. More study should be done to determine that digitized image can be clinical applicable to detecting the proximal calculus.

  15. Especially for High School Teachers

    Science.gov (United States)

    Howell, J. Emory

    2000-01-01

    Ideas and Resources in This Issue This issue contains a broad spectrum of topics of potential interest to high school teachers, including chemical safety, history, demonstrations, laboratory activities, electrochemistry, small group learning, and instructional software. In his report on articles published recently in The Science Teacher, Steve Long includes annotated references from that journal, and also from JCE, that provide timely and practical information (pp 21-22). The chemical significance of several anniversaries that will occur in the year 2000 are discussed in an article by Paul Schatz (pp 11-14). Scientists and inventors mentioned include Dumas, Wöhler, Goodyear, Joliot-Curie, Krebs, Pauli, Kjeldahl, and Haworth. Several discoveries are also discussed, including development of the voltaic pile, the use of chlorine to purify water, and the discovery of element 97, berkelium. This is the fourth consecutive year that Schatz has written an anniversaries article (1-3). Although most readers probably do not plan to be teaching in the years 2097-3000, these articles can make a nice addition to your file of readily available historical information for use now in meeting NSES Content Standard G (4). In contrast to the short historical summaries, an in-depth account of the work of Herman Boerhaave is provided by Trinity School (NY) teacher Damon Diemente. You cannot recall having heard of Boerhaave? Diemente explains in detail how Boerhaave's scientific observations, imperfect though they were, contributed significantly to the understanding of temperature and heat by scientists who followed him. Chemical demonstrations attract the interest of most of us, and Kathy Thorsen discusses several that appeared in Chem 13 News during the past year (pp 18-20). Included are demonstrations relating to LeChâtelier's principle, electronegativity, and the synthesis and reactions of carbon monoxide. Ideas for investigating the hydrophobic nature of Magic Sand are given in JCE

  16. Middle School and High School Students Who Stutter: A Qualitative Investigation of School Experiences

    Science.gov (United States)

    Cobb, Tiffany R.

    2017-01-01

    Purpose: The purpose of this study was to explore and further understand the ways in which middle school and high school students perceive their school experiences within the school environment. School has an important impact on the social development of children (Milsom, 2006). Learning is not done individually as classrooms are inherently social…

  17. Especially for High School Teachers

    Science.gov (United States)

    Howell, J. Emory

    1999-02-01

    Secondary School Feature Articles * Building the Interest of High School Students for Science-A PACT Ambassador Program To Investigate Soap Manufacturing and Industrial Chemistry, by Matthew Lynch, Nicholas Geary, Karen Hagaman, Ann Munson, and Mark Sabo, p 191. * Promoting Chemistry at the Elementary Level, by Larry L. Louters and Richard D. Huisman, p 196. * Is It Real Gold? by Harold H. Harris, p 198. * The "Big Dog-Puppy Dog" Analogy for Resonance, by Todd P. Silverstein, p 206. * The Fizz Keeper, a Case Study in Chemical Education, Equilibrium, and Kinetics, by Reed A. Howald, p 208. Staying on Top: Curricular Projects, Relativistic Effects, and Standard-State Pressure You may wonder why some articles are identified with the Secondary School Chemistry logo (*) this month even though at first glance they appear to be of greater interest to college faculty.1 The three articles discussed below are representative of three broad categories: (i) the interrelatedness of science teaching and learning, K-16+; (ii) new understandings of chemical phenomena; and (iii) information about the use of SI units. For each article I have highlighted the major point(s) and the reasons it may be of interest to high school teachers. First, the article "The NSF 'Systemic' Projects- A New Tradition" (G. M. Barrow, p 158) is a commentary on changes in post-secondary introductory chemistry courses in which a distinction is drawn between information management and individual understanding. The author is of the opinion that most students expect the former and that the NSF-funded systemic projects "will thrive only if they are consistent with their information-management mission". Three individuals provided responses to the commentary from their perspective. Has a student asked you why mercury is a liquid, or why gold is the most electronegative metal? "Gold Chemistry: The Aurophilic Attraction" by J. Bardají and A. Laguna (p 201) and "Why Gold and Copper Are Colored but Silver Is Not" by

  18. Early Vector Calculus: A Path through Multivariable Calculus

    Science.gov (United States)

    Robertson, Robert L.

    2013-01-01

    The divergence theorem, Stokes' theorem, and Green's theorem appear near the end of calculus texts. These are important results, but many instructors struggle to reach them. We describe a pathway through a standard calculus text that allows instructors to emphasize these theorems. (Contains 2 figures.)

  19. An Excel-Aided Method for Teaching Calculus-Based Business Mathematics

    Science.gov (United States)

    Liang, Jiajuan; Martin, Linda

    2008-01-01

    Calculus-based business mathematics is a required quantitative course for undergraduate business students in most AACSB accredited schools or colleges of business. Many business students, however, have relatively weak mathematical background or even display math-phobia when presented with calculus problems. Because of the popularity of Excel, its…

  20. Schools or Students? Identifying High School Effects on Student Suspensions

    Science.gov (United States)

    Baker-Smith, E. Christine

    2015-01-01

    Evidence is clear that discipline in high school is associated with negative outcomes across the life course. Not only are suspensions related to declining academic trajectories during high school in the form of attendance and academic achievement, students suspended once are also more likely to be suspended again and also substantially increase…

  1. Especially for High School Teachers

    Science.gov (United States)

    Howell, J. Emory

    1999-10-01

    Writing Across the Curriculum The notion that student learning is enhanced through writing is widely accepted at all educational levels if the product is fairly assessed and the learner is provided with feedback. Finding the time to critically evaluate student papers is difficult at best and competes with time needed to prepare laboratory investigations. A few weeks ago a teacher who has extensive extracurricular responsibilities that include extensive interaction with parents and community members shared with me his frustration in not being able to grade written reports. This teacher is the head football coach at his school, but many readers experience the same difficulties due to a variety of duties. There are no easy or completely satisfying answers to this problem, but this issue contains an account of a successful approach (Writing in Chemistry: An Effective Learning Tool, pp 1399-1403). Although they are based on experience in college courses, several ideas described in the article could be applied in high school chemistry courses. In another article, the author of Precise Writing for a Precise Science (pp 1407-1408) identifies 20 examples of familiar, but incorrect, grammatical constructions and explains how to phrase each one correctly. Chemical Education Research: Improving Chemistry Learning The results from research on how students learn have greatly increased our understanding of cognition in recent years. However, the results are often published in the science education research literature and are not readily accessible to the classroom teacher. Additionally, the research reports are couched in specialized terminology. This issue contains a Viewpoints article (pp 1353-1361) that bridges the gap between research results and classroom application. It was written by two veteran chemical educators, Dudley Herron and Susan Nurrenbern. The shift from behaviorism to constructivism as the dominant theory of learning is described briefly to provide a context

  2. Especially for High School Teachers

    Science.gov (United States)

    Howell, J. Emory

    1999-05-01

    assigned as a take-home activity. JCE Classroom Activity #15, "Liver and Onions: DNA Extraction from Animal and Plant Tissues" (p 400A, March 1999) also integrates chemical and biological concepts. The JCE Software videotape HIV-1 Protease: An Enzyme at Work is another useful resource. It can be used in any classroom where kinetics, catalysis, proteins, or enzymes are discussed. Information about JCE Software products can be found in recent issues of the Journal or by accessing JCE Online (http://jchemed.chem.wisc.edu). Because most high school students complete at least one year of biology before enrolling in chemistry, developing the connections between biology and chemistry can be especially productive. Connections between chemistry and biology often seem to be more real to students than do many of the phenomena we cite as applications. For example, students often are not able to make the connection between the excitation of electrons to produce electromagnetic radiation and anything that is personally relevant. The light given off by sodium or mercury vapor lights provides a common example of relating atomic emission to a useful process, but many students do not seem to find that particularly interesting. The need to make a connection between biology and chemistry becomes especially meaningful to students when the chemical change occurs within the human body. As an example, the interaction of emitted electromagnetic radiation with human cells to cause well-tanned skin seems more relevant to a greater number of students than the color of lights in a parking lot. This issue contains an article that describes a useful application of light to kill cancer cells through use of photosensitizers (p 592). The process of photodynamic therapy (PDT) provides another example that could help students make a connection between the emission of electromagnetic radiation and the challenge of killing cancer cells without harming healthy cells. Certainly this example is not a magic

  3. Proof Nets for Lambek Calculus

    NARCIS (Netherlands)

    Roorda, Dirk

    1992-01-01

    The proof nets of linear logic are adapted to the non-commutative Lambek calculus. A different criterion for soundness of proof nets is given, which gives rise to new algorithms for proof search. The order sensitiveness of the Lambek calculus is reflected by the planarity condition on proof nets;

  4. Fluorescence spectroscopy of dental calculus

    International Nuclear Information System (INIS)

    Bakhmutov, D; Gonchukov, S; Sukhinina, A

    2010-01-01

    The aim of the present study was to investigate the fluorescence properties of dental calculus in comparison with the properties of adjacent unaffected tooth structure using both lasers and LEDs in the UV-visible range for fluorescence excitation. The influence of calculus color on the informative signal is demonstrated. The optimal spectral bands of excitation and registration of the fluorescence are determined

  5. Fluorescence spectroscopy of dental calculus

    Science.gov (United States)

    Bakhmutov, D.; Gonchukov, S.; Sukhinina, A.

    2010-05-01

    The aim of the present study was to investigate the fluorescence properties of dental calculus in comparison with the properties of adjacent unaffected tooth structure using both lasers and LEDs in the UV-visible range for fluorescence excitation. The influence of calculus color on the informative signal is demonstrated. The optimal spectral bands of excitation and registration of the fluorescence are determined.

  6. The Calculus of a Vase

    Science.gov (United States)

    Scherger, Nicole

    2012-01-01

    Of the most universal applications in integral calculus are those involved with finding volumes of solids of revolution. These profound problems are typically taught with traditional approaches of the disk and shell methods, after which most calculus curriculums will additionally cover arc length and surfaces of revolution. Even in these visibly…

  7. Probabilistic Mu-Calculus

    DEFF Research Database (Denmark)

    Larsen, Kim Guldstrand; Mardare, Radu Iulian; Xue, Bingtian

    2016-01-01

    We introduce a version of the probabilistic µ-calculus (PMC) built on top of a probabilistic modal logic that allows encoding n-ary inequational conditions on transition probabilities. PMC extends previously studied calculi and we prove that, despite its expressiveness, it enjoys a series of good...... metaproperties. Firstly, we prove the decidability of satisfiability checking by establishing the small model property. An algorithm for deciding the satisfiability problem is developed. As a second major result, we provide a complete axiomatization for the alternation-free fragment of PMC. The completeness proof...

  8. A Virtual Class Calculus

    DEFF Research Database (Denmark)

    Ernst, Erik; Ostermann, Klaus; Cook, William Randall

    2006-01-01

    Virtual classes are class-valued attributes of objects. Like virtual methods, virtual classes are defined in an object's class and may be redefined within subclasses. They resemble inner classes, which are also defined within a class, but virtual classes are accessed through object instances...... model for virtual classes has been a long-standing open question. This paper presents a virtual class calculus, vc, that captures the essence of virtual classes in these full-fledged programming languages. The key contributions of the paper are a formalization of the dynamic and static semantics of vc...

  9. Calculus problems and solutions

    CERN Document Server

    Ginzburg, Abraham

    2011-01-01

    Ideal for self-instruction as well as for classroom use, this text helps students improve their understanding and problem-solving skills in analysis, analytic geometry, and higher algebra. More than 1,200 problems appear in the text, with concise explanations of the basic notions and theorems to be used in their solution. Many are followed by complete answers; solutions for the others appear at the end of the book. Topics include sequences, functions of a single variable, limit of a function, differential calculus for functions of a single variable, fundamental theorems and applications of dif

  10. Calculus super review

    CERN Document Server

    2012-01-01

    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 Calculus I Super Review includes a review of functions, limits, basic derivatives, the definite integral, combinations, and permutations. Take the Super Review quizzes to see how much you've learned - and where you need more study. Makes an excellent study aid and textbook companion. Great for self-study!DETAILS- From cover to cover, each in-depth topic review is easy-to-follow and easy-to-grasp - Perfect when preparing for

  11. When and Why Dropouts Leave High School

    Science.gov (United States)

    Stearns, Elizabeth; Glennie, Elizabeth J.

    2006-01-01

    Teens may leave school because of academic failure, disciplinary problems, or employment opportunities. In this article, the authors test whether the reasons dropouts leave school differ by grade level and age. We compare dropout rates and reasons across grade levels and ages for all high school students, ethnic groups, and gender groups. Across…

  12. Switching Schools: Reconsidering the Relationship Between School Mobility and High School Dropout

    Science.gov (United States)

    Gasper, Joseph; DeLuca, Stefanie; Estacion, Angela

    2014-01-01

    Youth who switch schools are more likely to demonstrate a wide array of negative behavioral and educational outcomes, including dropping out of high school. However, whether switching schools actually puts youth at risk for dropout is uncertain, since youth who switch schools are similar to dropouts in their levels of prior school achievement and engagement, which suggests that switching schools may be part of the same long-term developmental process of disengagement that leads to dropping out. Using data from the National Longitudinal Survey of Youth 1997, this study uses propensity score matching to pair youth who switched high schools with similar youth who stayed in the same school. We find that while over half the association between switching schools and dropout is explained by observed characteristics prior to 9th grade, switching schools is still associated with dropout. Moreover, the relationship between switching schools and dropout varies depending on a youth's propensity for switching schools. PMID:25554706

  13. Demographic Factors Affecting Internet Using Purposes of High School Students

    Science.gov (United States)

    Kilic, Abdullah Faruk; Güzeller, Cem Oktay

    2017-01-01

    This study aimed at determining the impact of demographic factors on the Internet usage purposes of high school students. The population of the study consisted of students between 9th and 12th grades from the Anatolian high schools, science high schools, social sciences high schools, sports high schools and fine arts high schools in Turkey. The…

  14. School-Related Factors Affecting High School Seniors' Methamphetamine Use

    Science.gov (United States)

    Stanley, Jarrod M.; Lo, Celia C.

    2009-01-01

    Data from the 2005 Monitoring the Future survey were used to examine relationships between school-related factors and high school seniors' lifetime methamphetamine use. The study applied logistic regression techniques to evaluate effects of social bonding variables and social learning variables on likelihood of lifetime methamphetamine use. The…

  15. Especially for High School Teachers

    Science.gov (United States)

    Howell, J. Emory

    1999-04-01

    Secondary School Feature Articles * Amino Acid Wordsearch, by Terry L. Helser, p 495. Games, Puzzles, and Humor In honor of April Fools' Day this issue contains 22 pages devoted to games and puzzles that can be used to teach aspects of chemistry. Most are designed for high school and first-year college students. The lead article, p 481, contains an annotated bibliography of chemistry games, complete with a vendor list. Many of the annotated games must be purchased, but the other articles that follow in this issue describe some games and puzzles that require minimal preparation using a word processor and readily available materials. Actually, JCE has a long tradition of publishing games and puzzles for chemistry teachers and their students. Read the letter by Helser and the Editor's response, p 468, for some recent background. Not having counted articles over past years, I became curious and turned to the online index, accessed by way of http://jchemed.chem.wisc.edu/. Because I wanted to search the entire 75-year life of the Journal, I searched titles for the words "game", "puzzle", and "humor" and obtained a total of 85 hits from the three searches. After eliminating titles of articles that were not applicable, I found that at least 25 games, 48 puzzles, and 5 humor articles have appeared during the past 75 years. At an average of one per year, the JCE editors hardly can be accused of frivolity, but game, puzzle, and humor articles have been published. The term "game" did not appear in any titles during 1945-1970, "puzzle" did not appear from 1927 to 1953, and there was no mention of humor (in the titles) prior to 1974. What appears to be the earliest article (1929) about a game was authored by an undergraduate student at the University of Colorado (1). It was titled "Chemical Bank", and the game pieces were tokens cut from cork stoppers. Wire hooks were inserted in the side of the token to represent valence electrons available for bonding. Carbon contained 4 hooks

  16. Attitudes of High School Students towards Geometry

    Directory of Open Access Journals (Sweden)

    Esat Avcı

    2014-12-01

    Full Text Available In this research, attitudes of high school students towards geometry were investigated in terms of gender, grade, types of the field and school. Population of research includes students who were studying at high school in five distincs of Mersin in 2013-2014 academical year. Sample of research includes 935 students from twelve high schools. Attitude scale which was developed by Su-Özenir (2008 was used for data collection. For data analysis, mean, standart deviation, t test and ANOVA were used. A meaningful difference between students’ attitudes towards geometry and variance of gender and grade level wasn’t observed, on the other hand a meaningful difference according to field and school type is observed.Key Words:    Attitudes towards geometry, high school geometry lesson, attitude scale

  17. Leveraging Prior Calculus Study with Embedded Review

    Science.gov (United States)

    Nikolov, Margaret C.; Withers, Wm. Douglas

    2016-01-01

    We propose a new course structure to address the needs of college students with previous calculus study but no course validations as an alternative to repeating the first year of calculus. Students are introduced directly to topics from Calculus III unpreceded by a formal review of topics from Calculus I or II, but with additional syllabus time…

  18. THE HIGH SCHOOL COUNSELOR BEFORE CONFLICTS AND THE SCHOOL VIOLENCE

    Directory of Open Access Journals (Sweden)

    Rubén Sánchez-Carranza

    2016-01-01

    Full Text Available This article aims to reflect on the figure and role of high school counselor in the task of addressing conflict situations in which students are immersed. The existence of a rising tide of violence in school conflicts and how important it is to know what countries in Europe , Asia and Latin America is done to promote a culture of peace is recognized. What happened it is exposed in a high school in Germany and how questions from the critical eye that are applicable to our Mexican reality are issued. Finally, it highlights the importance of skills that the counselor must possess or develop to prevent school conflicts escalate to levels of violence.Finally experience working with the School counselors S033 about this subject area is described.

  19. A generalized nonlocal vector calculus

    Science.gov (United States)

    Alali, Bacim; Liu, Kuo; Gunzburger, Max

    2015-10-01

    A nonlocal vector calculus was introduced in Du et al. (Math Model Meth Appl Sci 23:493-540, 2013) that has proved useful for the analysis of the peridynamics model of nonlocal mechanics and nonlocal diffusion models. A formulation is developed that provides a more general setting for the nonlocal vector calculus that is independent of particular nonlocal models. It is shown that general nonlocal calculus operators are integral operators with specific integral kernels. General nonlocal calculus properties are developed, including nonlocal integration by parts formula and Green's identities. The nonlocal vector calculus introduced in Du et al. (Math Model Meth Appl Sci 23:493-540, 2013) is shown to be recoverable from the general formulation as a special example. This special nonlocal vector calculus is used to reformulate the peridynamics equation of motion in terms of the nonlocal gradient operator and its adjoint. A new example of nonlocal vector calculus operators is introduced, which shows the potential use of the general formulation for general nonlocal models.

  20. Trust, Behavior, and High School Outcomes

    Science.gov (United States)

    Romero, Lisa S.

    2015-01-01

    Purpose: The purpose of this paper is to contribute to the literature on student trust and to examine the relationship between student trust, behavior, and academic outcomes in high school. It asks, first, does trust have a positive effect on high school outcomes? Second, does trust influence student behavior, exerting an indirect effect on…

  1. High School Redesign Gets Presidential Lift

    Science.gov (United States)

    Adams, Caralee J.

    2013-01-01

    President Barack Obama applauded high school redesign efforts in his State of the Union address and encouraged districts to look to successful models for inspiration. Last week, he followed up with a request in his fiscal 2014 budget proposal for a new, $300 million competitive-grant program. Recognition is widespread that high schools need to…

  2. High School Students' Views on Blended Learning

    Science.gov (United States)

    Yapici, Ibrahim Umit; Akbayin, Hasan

    2012-01-01

    In this study, it is aimed to determine the high school students' views on blended learning. The study was carried out in biology course for the lesson unit of "Classification of Living Things and Biodiversity" with 47 9[superscript th] grade students attending Nevzat Ayaz Anatolian High School in the second term of the academic year of…

  3. Dual Enrollment for High School Students

    Science.gov (United States)

    Edwards, Linsey; Hughes, Katherine

    2011-01-01

    Dual enrollment programs allow high school students to enroll in college courses and potentially earn college credit. The term concurrent enrollment is sometimes used interchangeably with dual enrollment, and sometimes to refer to a particular model of dual enrollment. In some programs, students earn high school and college credit simultaneously;…

  4. National Standards for High School Psychology Curricula

    Science.gov (United States)

    American Psychologist, 2013

    2013-01-01

    The "National Standards for High School Psychology Curricula" attempts to represent current knowledge in the field of psychology in developmentally appropriate ways. Psychology is a popular high school course, one that can introduce students to scientific ideas and engage students in the learning process. However, it is difficult for even the best…

  5. The Classification of Romanian High-Schools

    Science.gov (United States)

    Ivan, Ion; Milodin, Daniel; Naie, Lucian

    2006-01-01

    The article tries to tackle the issue of high-schools classification from one city, district or from Romania. The classification criteria are presented. The National Database of Education is also presented and the application of criteria is illustrated. An algorithm for high-school multi-rang classification is proposed in order to build classes of…

  6. Midcentury Modern High Schools: Rebooting the Architecture

    Science.gov (United States)

    Havens, Kevin

    2010-01-01

    A high school is more than a building; it's a repository of memories for many community members. High schools built at the turn of the century are not only cultural and civic landmarks, they are also often architectural treasures. When these facilities become outdated, a renovation that preserves the building's aesthetics and character is usually…

  7. The calculus a genetic approach

    CERN Document Server

    Toeplitz, Otto

    2007-01-01

    When first published posthumously in 1963, this book presented a radically different approach to the teaching of calculus.  In sharp contrast to the methods of his time, Otto Toeplitz did not teach calculus as a static system of techniques and facts to be memorized. Instead, he drew on his knowledge of the history of mathematics and presented calculus as an organic evolution of ideas beginning with the discoveries of Greek scholars, such as Archimedes, Pythagoras, and Euclid, and developing through the centuries in the work of Kepler, Galileo, Fermat, Newton, and Leibniz. Through this unique a

  8. Fluorescence detection of dental calculus

    Science.gov (United States)

    Gonchukov, S.; Biryukova, T.; Sukhinina, A.; Vdovin, Yu

    2010-11-01

    This work is devoted to the optimization of fluorescence dental calculus diagnostics in optical spectrum. The optimal wavelengths for fluorescence excitation and registration are determined. Two spectral ranges 620 - 645 nm and 340 - 370 nm are the most convenient for supra- and subgingival calculus determination. The simple implementation of differential method free from the necessity of spectrometer using was investigated. Calculus detection reliability in the case of simple implementation is higher than in the case of spectra analysis at optimal wavelengths. The use of modulated excitation light and narrowband detection of informative signal allows us to decrease essentially its diagnostic intensity even in comparison with intensity of the low level laser dental therapy.

  9. The Vectorial $\\lambda$-Calculus

    OpenAIRE

    Arrighi, Pablo; Díaz-Caro, Alejandro; Valiron, Benoît

    2013-01-01

    We describe a type system for the linear-algebraic $\\lambda$-calculus. The type system accounts for the linear-algebraic aspects of this extension of $\\lambda$-calculus: it is able to statically describe the linear combinations of terms that will be obtained when reducing the programs. This gives rise to an original type theory where types, in the same way as terms, can be superposed into linear combinations. We prove that the resulting typed $\\lambda$-calculus is strongly normalising and fea...

  10. Pre-Calculus For Dummies

    CERN Document Server

    Kuang, Yang

    2012-01-01

    The fun and easy way to learn pre-calculus Getting ready for calculus but still feel a bit confused? Have no fear. Pre-Calculus For Dummies is an un-intimidating, hands-on guide that walks you through all the essential topics, from absolute value and quadratic equations to logarithms and exponential functions to trig identities and matrix operations. With this guide's help you'll quickly and painlessly get a handle on all of the concepts - not just the number crunching - and understand how to perform all pre-calc tasks, from graphing to tackling proofs. You'll also get a new appreciation for

  11. Mathematics for physics with calculus

    CERN Document Server

    Das, Biman

    2005-01-01

    Designed for students who plan to take or who are presently taking calculus-based physics courses. This book will develop necessary mathematical skills and help students gain the competence to use precalculus, calculus, vector algebra, vector calculus, and the statistical analysis of experimental data. Students taking intermediate physics, engineering, and other science courses will also find the book useful-and will be able to use the book as a mathematical resource for these intermediate level courses. The book emphasizes primarily the use of mathematical techniques and mathematical concepts in Physics and does not go into their rigorous developments.

  12. Pedagogical Stances of High School ESL Teachers: "Huelgas" in High School ESL Classrooms

    Science.gov (United States)

    del Carmen Salazar, Maria

    2010-01-01

    This article presents a qualitative case study of the pedagogical stances of high school English as a Second Language (ESL) teachers, and the subsequent responses of resistance or conformity by their English Language Learners (ELLs). The participants include three high school ESL teachers and 60 high school ESL students of Mexican origin. Findings…

  13. The Relationship between High School Math Courses, High School GPA, and Retention of Honors Scholarships

    Science.gov (United States)

    Megert, Diann Ackerman

    2005-01-01

    This research examined the high school transcripts of honors scholarship recipients to identify a better criterion for awarding scholarships than high school grade point average (GPA) alone. Specifically, this study compared the honors scholarship retention rate when the scholarship was awarded based on completed advanced high school math classes…

  14. Advanced calculus a transition to analysis

    CERN Document Server

    Dence, Thomas P

    2010-01-01

    Designed for a one-semester advanced calculus course, Advanced Calculus explores the theory of calculus and highlights the connections between calculus and real analysis -- providing a mathematically sophisticated introduction to functional analytical concepts. The text is interesting to read and includes many illustrative worked-out examples and instructive exercises, and precise historical notes to aid in further exploration of calculus. Ancillary list: * Companion website, Ebook- http://www.elsevierdirect.com/product.jsp?isbn=9780123749550 * Student Solutions Manual- To come * Instructor

  15. Stochastic calculus and applications

    CERN Document Server

    Cohen, Samuel N

    2015-01-01

    Completely revised and greatly expanded, the new edition of this text takes readers who have been exposed to only basic courses in analysis through the modern general theory of random processes and stochastic integrals as used by systems theorists, electronic engineers and, more recently, those working in quantitative and mathematical finance. Building upon the original release of this title, this text will be of great interest to research mathematicians and graduate students working in those fields, as well as quants in the finance industry. New features of this edition include: End of chapter exercises; New chapters on basic measure theory and Backward SDEs; Reworked proofs, examples and explanatory material; Increased focus on motivating the mathematics; Extensive topical index. "Such a self-contained and complete exposition of stochastic calculus and applications fills an existing gap in the literature. The book can be recommended for first-year graduate studies. It will be useful for all who intend to wo...

  16. Introduction to stochastic calculus

    CERN Document Server

    Karandikar, Rajeeva L

    2018-01-01

    This book sheds new light on stochastic calculus, the branch of mathematics that is most widely applied in financial engineering and mathematical finance. The first book to introduce pathwise formulae for the stochastic integral, it provides a simple but rigorous treatment of the subject, including a range of advanced topics. The book discusses in-depth topics such as quadratic variation, Ito formula, and Emery topology. The authors briefly address continuous semi-martingales to obtain growth estimates and study solution of a stochastic differential equation (SDE) by using the technique of random time change. Later, by using Metivier–Pellumail inequality, the solutions to SDEs driven by general semi-martingales are discussed. The connection of the theory with mathematical finance is briefly discussed and the book has extensive treatment on the representation of martingales as stochastic integrals and a second fundamental theorem of asset pricing. Intended for undergraduate- and beginning graduate-level stud...

  17. Waste pipe calculus extensions

    International Nuclear Information System (INIS)

    O'Connell, W.J.

    1979-01-01

    The waste pipe calculus provides a rapid method, using Laplace transforms, to calculate the transport of a pollutant such as nuclear waste, by a network of one-dimensional flow paths. The present note extends previous work as follows: (1) It provides an alternate approximation to the time-domain function (inverse Laplace transform) for the resulting transport. This algebraic approximation may be viewed as a simpler and more approximate model of the transport process. (2) It identifies two scalar quantities which may be used as summary consequence measures of the waste transport (or inversely, waste retention) system, and provides algebraic expressions for them. (3) It includes the effects of radioactive decay on the scalar quantity results, and further provides simplifying approximations for the cases of medium and long half-lives. This algebraic method can be used for quick approximate analyses of expected results, uncertainty and sensitivity, in evaluating selection and design choices for nuclear waste disposal systems

  18. Intuitionistic fuzzy calculus

    CERN Document Server

    Lei, Qian

    2017-01-01

    This book offers a comprehensive and systematic review of the latest research findings in the area of intuitionistic fuzzy calculus. After introducing the intuitionistic fuzzy numbers’ operational laws and their geometrical and algebraic properties, the book defines the concept of intuitionistic fuzzy functions and presents the research on the derivative, differential, indefinite integral and definite integral of intuitionistic fuzzy functions. It also discusses some of the methods that have been successfully used to deal with continuous intuitionistic fuzzy information or data, which are different from the previous aggregation operators focusing on discrete information or data. Mainly intended for engineers and researchers in the fields of fuzzy mathematics, operations research, information science and management science, this book is also a valuable textbook for postgraduate and advanced undergraduate students alike.

  19. Feynman integral calculus

    CERN Document Server

    Smirnov, Vladimir A

    2006-01-01

    The problem of evaluating Feynman integrals over loop momenta has existed from the early days of perturbative quantum field theory. The goal of the book is to summarize those methods for evaluating Feynman integrals that have been developed over a span of more than fifty years. `Feynman Integral Calculus' characterizes the most powerful methods in a systematic way. It concentrates on the methods that have been employed recently for most sophisticated calculations and illustrates them with numerous examples, starting from very simple ones and progressing to nontrivial examples. It also shows how to choose adequate methods and combine them in a non-trivial way. This is a textbook version of the previous book (Evaluating Feynman integrals, STMP 211) of the author. Problems and solutions have been included, Appendix G has been added, more details have been presented, recent publications on evaluating Feynman integrals have been taken into account and the bibliography has been updated.

  20. The impacts of gingivitis and calculus on Thai children's quality of life.

    Science.gov (United States)

    Krisdapong, Sudaduang; Prasertsom, Piyada; Rattanarangsima, Khanit; Sheiham, Aubrey; Tsakos, Georgios

    2012-09-01

    To assess associations of socio-demographic, behavioural and the extent of gingivitis and calculus with oral health-related quality of life (OHRQoL) in nationally representative samples of 12- and 15-year-old Thai children. In the Thailand National Oral Health Survey, 1,063 twelve-year olds and 811 fifteen-year olds were clinically examined and interviewed for OHRQoL using the Child-OIDP and OIDP indices, respectively, and completed a behavioural questionnaire. We assessed associations of condition-specific impacts (CS-impacts) with gingivitis and calculus, adjusted for socio-demographic and behavioural factors. Gingivitis and calculus were highly prevalent: 79.3% in 12-year and 81.5% in 15-year olds. CS-impacts relating to calculus and/or gingivitis were reported by 26.0% of 12-year and 29.6% of 15-year olds. Except for calculus without gingivitis, calculus and/or gingivitis in any form was significantly related to any level of CS-impacts. At a moderate or higher level of CS-impacts, there were significant relationships with extensive calculus and/or gingivitis in 12-year olds and for extensive gingivitis and gingivitis without calculus in 15-year olds. Gingivitis was generally associated with any level of CS-impacts attributed to calculus and/or gingivitis. CS-impacts were related more to gingivitis than to calculus. © 2012 John Wiley & Sons A/S.

  1. Especially for High School Teachers

    Science.gov (United States)

    Howell, J. Emory

    2000-05-01

    for You? The end of the school year is approaching quickly. In previous years, several readers have submitted manuscripts soon after the end of the school year, while ideas were fresh in their mind and there was relief from the demands of daily classes. If you have an idea for an article, I encourage you to think about writing as soon as the school term ends. I can probably guess what you are saying, "I don't have anything that readers would be interested in." This is a common reaction, to which we frequently respond by reminding high school teachers that this is "your journal" and the only way to ensure that topics of interest to you are considered or published is by your active participation. In this presidential election year I am reminded of the familiar sentiment, "I voted in the election, so I have earned the right to complain about the politicians." I do not wish to encourage complaining, but there is a relevant correlation. By submitting manuscripts to the Journal, you are ensuring that you will continue to get your money's worth because it will include topics of interest to you. When considering a submission, many prospective authors are overwhelmed at the thought of preparing a complete manuscript. Don't let that stop you. If you have an idea, an outline, or a rough draft, any of the feature editors or I would be happy to discuss it with you. This one-on-one interaction during the development process will help you express your ideas more effectively. Many teachers across the country who are faced with similar situations and problems each day would benefit from an article discussing innovative teaching strategies or a new way to look at principles we teach every year. As you begin to formulate your ideas, I would like to emphasize five features whose editors are fellow teachers: JCE Classroom Activities. An invitation for contributions was issued in the April issue of this column (JCE, 2000, 77, 431). Chemical Principles Revisited, edited by Cary Kilner

  2. A Formal Calculus for Categories

    DEFF Research Database (Denmark)

    Cáccamo, Mario José

    This dissertation studies the logic underlying category theory. In particular we present a formal calculus for reasoning about universal properties. The aim is to systematise judgements about functoriality and naturality central to categorical reasoning. The calculus is based on a language which...... extends the typed lambda calculus with new binders to represent universal constructions. The types of the languages are interpreted as locally small categories and the expressions represent functors. The logic supports a syntactic treatment of universality and duality. Contravariance requires a definition...... of universality generous enough to deal with functors of mixed variance. Ends generalise limits to cover these kinds of functors and moreover provide the basis for a very convenient algebraic manipulation of expressions. The equational theory of the lambda calculus is extended with new rules for the definitions...

  3. Cartooning in Algebra and Calculus

    Science.gov (United States)

    Moseley, L. Jeneva

    2014-01-01

    This article discusses how teachers can create cartoons for undergraduate math classes, such as college algebra and basic calculus. The practice of cartooning for teaching can be helpful for communication with students and for students' conceptual understanding.

  4. Testicular calculus: A rare case.

    Science.gov (United States)

    Sen, Volkan; Bozkurt, Ozan; Demır, Omer; Tuna, Burcin; Yorukoglu, Kutsal; Esen, Adil

    2015-01-01

    Testicular calculus is an extremely rare case with unknown etiology and pathogenesis. To our knowledge, here we report the third case of testicular calculus. A 31-year-old man was admitted to our clinic with painful solid mass in left testis. After diagnostic work-up for a possible testicular tumour, he underwent inguinal orchiectomy and histopathologic examination showed a testicular calculus. Case hypothesis: Solid testicular lesions in young adults generally correspond to testicular cancer. Differential diagnosis should be done carefully. Future implications: In young adults with painful and solid testicular mass with hyperechogenic appearance on scrotal ultrasonography, testicular calculus must be kept in mind in differential diagnosis. Further reports on this topic may let us do more clear recommendations about the etiology and treatment of this rare disease.

  5. Differential calculus and its applications

    CERN Document Server

    Field, Michael J

    2013-01-01

    Based on undergraduate courses in advanced calculus, the treatment covers a wide range of topics, from soft functional analysis and finite-dimensional linear algebra to differential equations on submanifolds of Euclidean space. 1976 edition.

  6. Catwalk: First-Semester Calculus.

    Science.gov (United States)

    Speiser, Bob; Walter, Chuck

    1994-01-01

    Describes the use of time-lapse photographs of a running cat as a model to investigate the concepts of function and derivative in a college calculus course. Discusses student difficulties and implications for teachers. (MKR)

  7. Making an Interactive Calculus Textbook.

    Science.gov (United States)

    Larson, Timothy R.

    1995-01-01

    Presents a case study of the design and production of "Interactive Calculus," an interactive multimedia textbook. Discusses reasons for using multimedia textbooks; what an interactive textbook is; content, organization, graphic design, authoring and composition; and work flow. (AEF)

  8. Means and Variances without Calculus

    Science.gov (United States)

    Kinney, John J.

    2005-01-01

    This article gives a method of finding discrete approximations to continuous probability density functions and shows examples of its use, allowing students without calculus access to the calculation of means and variances.

  9. Concussion Knowledge and Reporting Behavior Differences Between High School Athletes at Urban and Suburban High Schools.

    Science.gov (United States)

    Wallace, Jessica; Covassin, Tracey; Nogle, Sally; Gould, Daniel; Kovan, Jeffrey

    2017-09-01

    We determined differences in knowledge of concussion and reporting behaviors of high school athletes attending urban and suburban high schools, and whether a relationship exists between underreporting and access to an athletic trainer in urban schools. High school athletes (N = 715) from 14 high schools completed a validated knowledge of concussion survey consisting of 83 questions. The independent variable was school type (urban/suburban). We examined the proportion of athletes who correctly identified signs and symptoms of concussion, knowledge of concussion and reasons why high school athletes would not disclose a potential concussive injury across school classification. Data were analyzed using descriptive, non-parametric, and inferential statistics. Athletes attending urban schools have less concussion knowledge than athletes attending suburban schools (p urban schools without an athletic trainer have less knowledge than urban athletes at schools with an athletic trainer (p urban schools and 10 reasons for not reporting. Concussion education efforts cannot be homogeneous in all communities. Education interventions must reflect the needs of each community. © 2017, American School Health Association.

  10. The Preparation of Schools for Serious School Violence: An Analysis of New Mexico Public High Schools

    Science.gov (United States)

    DiMatteo, Henry

    2012-01-01

    This study surveyed New Mexico high school principals on their current state of preparedness for serious school violence. The researcher surveyed 119 public high schools, receiving a 65% return rate from a 25-question survey. Specifically, this study analyzed the relationships of three predictor variables: prevention, response, and building of…

  11. Effectiveness of MnemoPow (Mnemonics Power Device in Teaching Limit Theorems of Calculus

    Directory of Open Access Journals (Sweden)

    Aldrin John J. Estonanto

    2017-11-01

    Full Text Available Calculus is oftentimes avoided by most students due to the common notion of its difficulty as a subject. Likewise, some studies revealed that most students find the topics in this subject very abstract to understand. To address these problems, a mnemonic device called MnemoPow (Mnemonics Power was developed. A quasi- experimental study was conducted in the laboratory high school of one state college in Sorsogon City to evaluate the effectiveness of the proposed mnemonic device. Two classes composed of forty- five (n= 45 students each were involved in this study as controlled and experimental group. The controlled group was introduced to Limit Theorems of Calculus using traditional lecture method while the experimental group was exposed to MnemoPow Device. Results of Pretest and Posttest were tested using t- test at 0. 05 level. Findings revealed that there is a significant difference between the performance of both groups. MnemoPow Device was found to be an effective approach in teaching Limit Theorems in Calculus.

  12. Neutrosophic Precalculus and Neutrosophic Calculus

    OpenAIRE

    Florentin Smarandache

    2015-01-01

    Neutrosophic Analysis is a generalization of Set Analysis, which in its turn is a generalization of Interval Analysis. Neutrosophic Precalculus is referred to indeterminate staticity, while Neutrosophic Calculus is the mathematics of indeterminate change. The Neutrosophic Precalculus and Neutrosophic Calculus can be developed in many ways, depending on the types of indeterminacy one has and on the methods used to deal with such indeterminacy. In this book, the author presents a few examples o...

  13. Should School Boards Discontinue Support for High School Football?

    Science.gov (United States)

    Margolis, Lewis H; Canty, Greg; Halstead, Mark; Lantos, John D

    2017-01-01

    A pediatrician is asked by her local school board to help them decide whether to discontinue their high school football program. She reviews the available evidence on the risks of football and finds it hopelessly contradictory. Some scholars claim that football is clearly more dangerous than other sports. Others suggest that the risks of football are comparable to other sports, such as lacrosse, ice hockey, or soccer. She finds very little data on the long-term sequelae of concussions. She sees claims that good coaching and a school culture that prioritizes the health of athletes over winning can reduce morbidity from sports injuries. In this paper, 3 experts also review the evidence about sports risks and discuss what is known and not known about the science and the ethics of high school football. Copyright © 2017 by the American Academy of Pediatrics.

  14. Laser ablation of dental calculus at 400 nm using a Ti:sapphire laser

    Science.gov (United States)

    Schoenly, Joshua E.; Seka, Wolf; Rechmann, Peter

    2009-02-01

    A Nd:YAG laser-pumped, frequency-doubled Ti:sapphire laser is used for selective ablation of calculus. The laser provides calculus removal. This is in stark contrast with tightly focused Gaussian beams that are energetically inefficient and lead to irreproducible results. Calculus is well ablated at high fluences >=2J/cm2 stalling occurs below this fluence because of photobleaching. Healthy hard tissue is not removed at fluences <=3 J/cm2.

  15. Analysis of Institutional Competitiveness of Junior High Schools through the Admission Test to High School Education

    Science.gov (United States)

    Armendáriz, Joyzukey; Tarango, Javier; Machin-Mastromatteo, Juan Daniel

    2018-01-01

    This descriptive and correlational research studies 15,658 students from 335 secondary schools in the state of Chihuahua, Mexico, through the results of the examination of admission to high school education (National High School Admission Test--EXANI I from the National Assessment Center for Education--CENEVAL) on logical-mathematical and verbal…

  16. High school science fair and research integrity

    Science.gov (United States)

    Dalley, Simon; Shepherd, Karen; Reisch, Joan

    2017-01-01

    Research misconduct has become an important matter of concern in the scientific community. The extent to which such behavior occurs early in science education has received little attention. In the current study, using the web-based data collection program REDCap, we obtained responses to an anonymous and voluntary survey about science fair from 65 high school students who recently competed in the Dallas Regional Science and Engineering Fair and from 237 STEM-track, post-high school students (undergraduates, 1st year medical students, and 1st year biomedical graduate students) doing research at UT Southwestern Medical Center. Of the post-high school students, 24% had competed in science fair during their high school education. Science fair experience was similar overall for the local cohort of Dallas regional students and the more diverse state/national cohort of post-high school students. Only one student out of 122 reported research misconduct, in his case making up the data. Unexpectedly, post-high school students who did not participate in science fair anticipated that carrying out science fair would be much more difficult than actually was the case, and 22% of the post-high school students anticipated that science fair participants would resort to research misconduct to overcome obstacles. No gender-based differences between students’ science fair experiences or expectations were evident. PMID:28328976

  17. Demographic Factors Affecting Internet Using Purposes of High School Students

    OpenAIRE

    Abdullah Faruk Kılıç; Cem Oktay Güzeller

    2017-01-01

    This study aimed at determining the impact of demographic factors on the Internet usage purposes of high school students. The population of the study consisted of students between 9th and 12th grades from the Anatolian high schools, science high schools, social sciences high schools, sports high schools and fine arts high schools in Turkey. The sample was chosen through the stratified and cluster sampling procedure. The students were chosen randomly depending on the regions of their school at...

  18. Teaching Bioethics in High Schools

    Science.gov (United States)

    Araújo, Joana; Gomes, Carlos Costa; Jácomo, António; Pereira, Sandra Martins

    2017-01-01

    Objective: The Bioethics Teaching in Secondary Education (Project BEST) aims to promote the teaching of bioethics in secondary schools. This paper describes the development and implementation of the programme in Portugal. Design: Programme development involved two main tasks: (1) using the learning tools previously developed by the US Northwest…

  19. Split School of High Energy Physics 2015

    CERN Document Server

    2015-01-01

    Split School of High Energy Physics 2015 (SSHEP 2015) was held at the Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture (FESB), University of Split, from September 14 to September 18, 2015. SSHEP 2015 aimed at master and PhD students who were interested in topics pertaining to High Energy Physics. SSHEP 2015 is the sixth edition of the High Energy Physics School. Previous five editions were held at the Department of Physics, University of Sarajevo, Bosnia and Herzegovina.

  20. Technology Leadership in Malaysia's High Performance School

    Science.gov (United States)

    Yieng, Wong Ai; Daud, Khadijah Binti

    2017-01-01

    Headmaster as leader of the school also plays a role as a technology leader. This applies to the high performance schools (HPS) headmaster as well. The HPS excel in all aspects of education. In this study, researcher is interested in examining the role of the headmaster as a technology leader through interviews with three headmasters of high…

  1. Successful Transition to High School. Research Brief

    Science.gov (United States)

    Education Partnerships, Inc., 2012

    2012-01-01

    What steps can be taken to assure that 8th graders make a successful transition to 9th grade? More students fail ninth grade than any other grade level. When middle school students took part in high school transition programs with a variety of different articulation activities, fewer students were retained in ninth grade. Ideally, these transition…

  2. Teacher Reflective Practice in Jesuit High Schools

    Science.gov (United States)

    Klug, Joseph H.

    2010-01-01

    Teachers who engage in reflective practice are more effective and may encourage higher student achievement. The purpose of this study is to explore and describe the methods that teachers use in order to engage in reflective practice. Further, it is essential to gain an understanding of how schools, including Jesuit high schools, promote reflective…

  3. Cultures of Learning in Effective High Schools

    Science.gov (United States)

    Tichnor-Wagner, Ariel; Harrison, Christopher; Cohen-Vogel, Lora

    2016-01-01

    Purpose: Research indicates that a culture of learning is a key factor in building high schools that foster academic achievement in all students. Yet less is known about which elements of a culture of learning differentiate schools with higher levels of academic performance. To fill this gap, this comparative case study examined the cultures of…

  4. High School Teachers' Identities: Constructing Civic Selves

    Science.gov (United States)

    Obenchain, Kathryn M.; Balkute, Asta; Vaughn, Erin; White, Shannon

    2016-01-01

    Research suggests that teachers play a role in the type of citizenship education implemented in schools. The purpose of this qualitative case study was to explore how two high school teachers understood and enacted their civic identities as a dimension of their teacher identities. Findings suggest that factors contributing to an individual's civic…

  5. Scientific Literacy of High School Students.

    Science.gov (United States)

    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…

  6. Case Studies of Leading Edge Small Urban High Schools. Relevance Strategic Designs: 8. High Tech High School

    Science.gov (United States)

    Shields, Regis Anne; Ireland, Nicole; City, Elizabeth; Derderian, Julie; Miles, Karen Hawley

    2008-01-01

    This report is one of nine detailed case studies of small urban high schools that served as the foundation for the Education Resource Strategies (ERS) report "Strategic Designs: Lessons from Leading Edge Small Urban High Schools." These nine schools were dubbed "Leading Edge Schools" because they stand apart from other high…

  7. High School Students’ Social Media Addiction

    OpenAIRE

    Deniz, Levent; Gürültü, Ercan

    2018-01-01

    Theaim of this study is to investigate high school students’ social mediaaddiction. The study was conducted with 473 students who were educated in2014-2015 academic year at 6 different schools in İstanbul, Eyüp disctrict.‘Social Media Addiction Scale’ developed by Tutgun, Ünal and Deniz (2015) wasused to determine the students’ social media addiction. The results in general showedthat high school students have a medium level social media addiction. Besides,it was also concluded that high scho...

  8. National standards for high school psychology curricula.

    Science.gov (United States)

    2013-01-01

    The National Standards for High School Psychology Curricula attempts to represent current knowledge in the field of psychology in developmentally appropriate ways. Psychology is a popular high school course, one that can introduce students to scientific ideas and engage students in the learning process. However, it is difficult for even the best of teachers to present all of psychology in a single course for students who begin with virtually no formal knowledge of psychology. The standards presented here constitute the first of two reports in this issue of the American Psychologist (January 2013) representing recent American Psychological Association (APA) policies that support high-quality instruction in the teaching of high school psychology. These standards provide curricular benchmarks for student learning in the high school course.

  9. CERN launches high-school internship programme

    Science.gov (United States)

    Johnston, Hamish

    2017-07-01

    The CERN particle-physics lab has hosted 22 high-school students from Hungary in a pilot programme designed to show teenagers how science, technology, engineering and mathematics is used at the particle-physics lab.

  10. Junior High School Pupils' Perceptions of Air

    African Journals Online (AJOL)

    cce

    Abstract. The study examined Junior High School (JHS) pupils' ideas of the concept air. The ... Stavy (1991) reported that students in his physics class had ... Research studies found that even after having been taught the particulate theory and.

  11. High School Teacher Perceptions of Empowerment

    OpenAIRE

    Jacobs, Tricia Susan

    2014-01-01

    As the responsibilities of principals become more complex and as accountability becomes more evident in K-12 cultures, it becomes increasingly important that high school principals be trained to empower teachers. This paper examined the research concerning the conditions of the empowerment of teachers. More specifically, it measured high school teachers' perspectives concerning their levels of empowerment by their principals based on the four domains of empowerment: meaning, competence, sel...

  12. The New Urban High School: A Practitioner's Guide.

    Science.gov (United States)

    Big Picture Co., Cambridge, MA.

    In October 1996, the Big Picture Company set out to find six urban high schools that use school-to-work strategies as a lever for whole-school reform. In the schools finally selected for the New Urban High Schools Project, and in others examined for the study, "school-to-work" is a misnomer, because the majority of students are entering…

  13. School lunch and snacking patterns among high school students: Associations with school food environment and policies

    Directory of Open Access Journals (Sweden)

    Story Mary

    2005-10-01

    Full Text Available Abstract Objectives This study examined associations between high school students' lunch patterns and vending machine purchases and the school food environment and policies. Methods A randomly selected sample of 1088 high school students from 20 schools completed surveys about their lunch practices and vending machine purchases. School food policies were assessed by principal and food director surveys. The number of vending machines and their hours of operation were assessed by trained research staff. Results Students at schools with open campus policies during lunchtime were significantly more likely to eat lunch at a fast food restaurant than students at schools with closed campus policies (0.7 days/week vs. 0.2 days/week, p Conclusion School food policies that decrease access to foods high in fats and sugars are associated with less frequent purchase of these items in school among high school students. Schools should examine their food-related policies and decrease access to foods that are low in nutrients and high in fats and sugars.

  14. Highlighting High Performance: Whitman Hanson Regional High School; Whitman, Massachusetts

    Energy Technology Data Exchange (ETDEWEB)

    2006-06-01

    This brochure describes the key high-performance building features of the Whitman-Hanson Regional High School. The brochure was paid for by the Massachusetts Technology Collaborative as part of their Green Schools Initiative. High-performance features described are daylighting and energy-efficient lighting, indoor air quality, solar and wind energy, building envelope, heating and cooling systems, water conservation, and acoustics. Energy cost savings are also discussed.

  15. Differential calculus on deformed E(2) group

    International Nuclear Information System (INIS)

    Giller, S.; Gonera, C.; Kosinski, P.; Maslanka, P.

    1997-01-01

    Four dimensional bi-covariant differential *-calculus on quantum E(2) group is constructed. The relevant Lie algebra is obtained and covariant differential calculus on quantum plane is found. (author)

  16. The untyped stack calculus and Bohm's theorem

    Directory of Open Access Journals (Sweden)

    Alberto Carraro

    2013-03-01

    Full Text Available The stack calculus is a functional language in which is in a Curry-Howard correspondence with classical logic. It enjoys confluence but, as well as Parigot's lambda-mu, does not admit the Bohm Theorem, typical of the lambda-calculus. We present a simple extension of stack calculus which is for the stack calculus what Saurin's Lambda-mu is for lambda-mu.

  17. Fluorescence detection of dental calculus

    International Nuclear Information System (INIS)

    Gonchukov, S; Sukhinina, A; Vdovin, Yu; Biryukova, T

    2010-01-01

    This work is devoted to the optimization of fluorescence dental calculus diagnostics in optical spectrum. The optimal wavelengths for fluorescence excitation and registration are determined. Two spectral ranges 620 – 645 nm and 340 – 370 nm are the most convenient for supra- and subgingival calculus determination. The simple implementation of differential method free from the necessity of spectrometer using was investigated. Calculus detection reliability in the case of simple implementation is higher than in the case of spectra analysis at optimal wavelengths. The use of modulated excitation light and narrowband detection of informative signal allows us to decrease essentially its diagnostic intensity even in comparison with intensity of the low level laser dental therapy

  18. Essential AOP: The A Calculus

    DEFF Research Database (Denmark)

    De Fraine, Bruno; Ernst, Erik; Südholt, Mario

    2012-01-01

    Aspect-oriented programming (AOP) has produced interesting language designs, but also ad hoc semantics that needs clarification. We contribute to this clarification with a calculus that models essential AOP, both simpler and more general than existing formalizations. In AOP, advice may intercept......-oriented code. Two well-known pointcut categories, call and execution, are commonly considered similar.We formally expose their differences, and resolve the associated soundness problem. Our calculus includes type ranges, an intuitive and concise alternative to explicit type variables that allows advice...... to be polymorphic over intercepted methods. We use calculus parameters to cover type safety for a wide design space of other features. Type soundness is verified in Coq....

  19. Who's Teaching What in High School Physics?

    Science.gov (United States)

    White, Susan; Tyler, John

    2015-01-01

    During the 2012-13 school year, approximately 27,000 teachers taught at least one physics course in a U.S. high school. About one-third of those teachers have earned a degree in physics or physics education; the vast majority of the others have earned degrees in a variety of other science fields. About 53,000 physics classes were taught, ranging…

  20. On the fractional calculus of Besicovitch function

    International Nuclear Information System (INIS)

    Liang Yongshun

    2009-01-01

    Relationship between fractional calculus and fractal functions has been explored. Based on prior investigations dealing with certain fractal functions, fractal dimensions including Hausdorff dimension, Box dimension, K-dimension and Packing dimension is shown to be a linear function of order of fractional calculus. Both Riemann-Liouville fractional calculus and Weyl-Marchaud fractional derivative of Besicovitch function have been discussed.

  1. Cyberbullying Among Greek High School Adolescents.

    Science.gov (United States)

    Gkiomisi, Athanasia; Gkrizioti, Maria; Gkiomisi, Athina; Anastasilakis, Dimitrios A; Kardaras, Panagiotis

    2017-05-01

    To investigate the presence of cyberbullying among Greek students and the efficacy of proposed preventive interventions. Three types of high schools (private, experimental and public) with different politics on on-line aggression were enrolled. All students of the aforementioned schools were asked to complete an anonymous questionnaire. Around 62 % of the high school students experienced cyberbullying by electronic means, especially by cell phone, mostly the public school students (p 0.008). The bully was a stranger in more than 40 % of the cases. Over 60 % of the victims had not seeked help but dealt with the attack on their own. Only 20 % of the victims manifested sleep or eating disorders, physical/ psychological symptoms or changes in their social life as a consequence of the cyber-attack. Cyberbullying is a usual phenomenon among high school students. The bully is frequently unacquainted to the victim. Most of the victims are not physically or psychologically affected by the cyber-attack and do not share the event with anyone. There was a slight difference in the response of the students to cyberbullying among the different school politics of on-line aggression.

  2. On flipping first-semester calculus: a case study

    Science.gov (United States)

    Petrillo, Joseph

    2016-05-01

    High failure rates in calculus have plagued students, teachers, and administrators for decades, while science, technology, engineering, and mathematics programmes continue to suffer from low enrollments and high attrition. In an effort to affect this reality, some educators are 'flipping' (or inverting) their classrooms. By flipping, we mean administering course content outside of the classroom and replacing the traditional in-class lectures with discussion, practice, group work, and other elements of active learning. This paper presents the major results from a three-year study of a flipped, first-semester calculus course at a small, comprehensive, American university with a well-known engineering programme. The data we have collected help quantify the positive and substantial effects of our flipped calculus course on failure rates, scores on the common final exam, student opinion of calculus, teacher impact on measurable outcomes, and success in second-semester calculus. While flipping may not be suitable for every teacher, every student, and in every situation, this report provides some evidence that it may be a viable option for those seeking an alternative to the traditional lecture model.

  3. Quantum mechanics and umbral calculus

    International Nuclear Information System (INIS)

    Lopez-Sendino, J E; Negro, J; Olmo, M A del; Salgado, E

    2008-01-01

    In this paper we present the first steps for obtaining a discrete Quantum Mechanics making use of the Umbral Calculus. The idea is to discretize the continuous Schroedinger equation substituting the continuous derivatives by discrete ones and the space-time continuous variables by well determined operators that verify some Umbral Calculus conditions. In this way we assure that some properties of integrability and symmetries of the continuous equation are preserved and also the solutions of the continuous case can be recovered discretized in a simple way. The case of the Schroedinger equation with a potential depending only in the space variable is discussed.

  4. Elementary calculus an infinitesimal approach

    CERN Document Server

    Keisler, H Jerome

    2012-01-01

    This first-year calculus book is centered around the use of infinitesimals, an approach largely neglected until recently for reasons of mathematical rigor. It exposes students to the intuition that originally led to the calculus, simplifying their grasp of the central concepts of derivatives and integrals. The author also teaches the traditional approach, giving students the benefits of both methods.Chapters 1 through 4 employ infinitesimals to quickly develop the basic concepts of derivatives, continuity, and integrals. Chapter 5 introduces the traditional limit concept, using approximation p

  5. Sequent Calculus and Equational Programming

    Directory of Open Access Journals (Sweden)

    Nicolas Guenot

    2015-07-01

    Full Text Available Proof assistants and programming languages based on type theories usually come in two flavours: one is based on the standard natural deduction presentation of type theory and involves eliminators, while the other provides a syntax in equational style. We show here that the equational approach corresponds to the use of a focused presentation of a type theory expressed as a sequent calculus. A typed functional language is presented, based on a sequent calculus, that we relate to the syntax and internal language of Agda. In particular, we discuss the use of patterns and case splittings, as well as rules implementing inductive reasoning and dependent products and sums.

  6. Multimodal Behavior Therapy: Case Study of a High School Student.

    Science.gov (United States)

    Seligman, Linda

    1981-01-01

    A case study of a high school student concerned with weight problems illustrates multimodal behavior therapy and its use in a high school setting. Multimodal therapy allows the school counselor to maximize referral sources while emphasizing growth and actualization. (JAC)

  7. Superconductors in the High School Classroom

    Science.gov (United States)

    Lincoln, James

    2017-01-01

    In this article, we discuss the behavior of high-temperature superconductors and how to demonstrate them safely and effectively in the high school or introductory physics classroom. Included here is a discussion of the most relevant physics topics that can be demonstrated, some safety tips, and a bit of the history of superconductors. In an effort…

  8. High School Teacher Perceptions of Empowerment

    Science.gov (United States)

    Jacobs, Tricia S.

    2014-01-01

    As the responsibilities of principals become more complex and as accountability becomes more evident in K-12 cultures, it becomes increasingly important that high school principals be trained to empower teachers. This paper examined the research concerning the conditions of the empowerment of teachers. More specifically, it measured high school…

  9. Global Ethics in a High School Curriculum.

    Science.gov (United States)

    Sappir, Susan

    1998-01-01

    Raphi Amram, the late director of Israel's Society for Excellence Through Education, founded the Ethics in Science and Humanities Program operating in Israel and five other countries. Though the ethics program currently operates only in high schools serving high-achieving or gifted students, founders emphasize the universality of its appeal.…

  10. Competencies Used to Evaluate High School Coaches.

    Science.gov (United States)

    Gratto, John

    1983-01-01

    Studies of how to evaluate high school coaches' effectiveness found that most respondents felt that principals, athletic directors, and coaches should jointly arrive at a method of evaluation. Coaching competencies rated most highly included prevention and care of athletic injuries, supervision, and consistent discipline. Other valued competencies…

  11. Gait analysis by high school students

    NARCIS (Netherlands)

    Heck, A.; van Dongen, C.

    2008-01-01

    Human walking is a complicated motion. Movement scientists have developed various research methods to study gait. This article describes how a high school student collected and analysed high quality gait data in much the same way that movement scientists do, via the recording and measurement of

  12. 25 CFR 39.145 - Can a school receive both a small school adjustment and a small high school adjustment?

    Science.gov (United States)

    2010-04-01

    ... 25 Indians 1 2010-04-01 2010-04-01 false Can a school receive both a small school adjustment and a small high school adjustment? 39.145 Section 39.145 Indians BUREAU OF INDIAN AFFAIRS, DEPARTMENT OF THE INTERIOR EDUCATION THE INDIAN SCHOOL EQUALIZATION PROGRAM Indian School Equalization Formula Small School...

  13. Sequence Curriculum: High School to College. Middlesex Community College/Haddam-Killingworth High School. Final Report.

    Science.gov (United States)

    Middlesex Community Coll., Middletown, CT.

    Through a collaborative effort between Middlesex Community College (MxCC) and Haddam-Killingworth High School (HKHS), students taking specific high school courses in television production, broadcast journalism, electronics, and photography are granted college credit by MxCC upon admission to the college's Broadcast Communication Program. The…

  14. After Installation: Ubiquitous Computing and High School Science in Three Experienced, High-Technology Schools

    Science.gov (United States)

    Drayton, Brian; Falk, Joni K.; Stroud, Rena; Hobbs, Kathryn; Hammerman, James

    2010-01-01

    There are few studies of the impact of ubiquitous computing on high school science, and the majority of studies of ubiquitous computing report only on the early stages of implementation. The present study presents data on 3 high schools with carefully elaborated ubiquitous computing systems that have gone through at least one "obsolescence cycle"…

  15. Comparison of physical activities of female football players in junior high school and high school.

    Science.gov (United States)

    Inoue, Yuri; Otani, Yoshitaka; Takemasa, Seiichi

    2017-08-01

    [Purpose] This study aimed to compare physical activities between junior high school and high school female football players in order to explain the factors that predispose to a higher incidence of sports injuries in high school female football players. [Subjects and Methods] Twenty-nine female football players participated. Finger floor distance, the center of pressure during single limb stance with eyes open and closed, the 40-m linear sprint time, hip abduction and extension muscle strength and isokinetic knee flexion and extension peak torque were measured. The modified Star Excursion Balance Test, the three-steps bounding test and three-steps hopping tests, agility test 1 (Step 50), agility test 2 (Forward run), curl-up test for 30 seconds and the Yo-Yo intermittent recovery test were performed. [Results] The high school group was only significantly faster than the junior high school group in the 40-m linear sprint time and in the agility tests. The distance of the bounding test in the high school group was longer than that in the junior high school group. [Conclusion] Agility and speed increase with growth; however, muscle strength and balance do not develop alongside. This unbalanced development may cause a higher incidence of sports injuries in high school football players.

  16. Applying π-Calculus to Practice

    DEFF Research Database (Denmark)

    Abendroth, Jorg

    2003-01-01

    The π-Calculus has been developed to reason about behavioural equivalence. Different notations of equivalence are defined in terms of process interactions, as well as the context of processes. There are various extensions of the π-Calculus, such as the SPI calculus, which has primitives...... modles are instantiated correctly. In this paper we will utilize the to π-Calculus reason about access control policies and mechanism. An equivalence of different policy implementations, as well as access control mechanism will be shown. Finally some experiences regarding the use of π-Calculus...

  17. Freedom of Expression for High School Journalists: A Case Study of Selected North Carolina Public Schools.

    Science.gov (United States)

    Phillips, Kay D.

    A study examined the freedom of the high school press in North Carolina to determine whether publication guidelines should be in place, and if so, what those guidelines should contain. High school newspaper advisors, high school principals, and high school newspaper editors from large and small, urban and rural, eastern and western high schools…

  18. Effect of Nanotechnology Instructions on Senior High School Students

    Science.gov (United States)

    Lu, Chow-Chin; Sung, Chia-Chi

    2011-01-01

    In this research, we cooperate with senior high school teachers to understand current nanotechnology model of senior high school nanotechnology curriculum in Taiwan. Then design senior high school nanotechnology (nano-tech) curriculum to teach 503 senior high school students. After teaching the nano-tech curriculum we use the "Nanotechnology…

  19. Solutions for Failing High Schools: Converging Visions and Promising Models.

    Science.gov (United States)

    Legters, Nettie; Balfanz, Robert; McPartland, James

    Promising solutions to the failings of traditional comprehensive high schools were reviewed to identify basic principles and strategies for improving high schools nationwide. Selected research studies, policy documents, and promising high school programs were reviewed. The review revealed the following principles for helping high schools better…

  20. Development of an Attitude Scale towards High School Physics Lessons

    Science.gov (United States)

    Yavas, Pervin Ünlü; Çagan, Sultan

    2017-01-01

    The aim of this study was to develop a Likert type attitude scale for high school students with regard to high school physics lessons. The research was carried out with high school students who were studying in Ankara. First, the opinions of 105 high school students about physics lessons were obtained and then 55 scale items were determined from…

  1. A Calculus for Trust Management

    DEFF Research Database (Denmark)

    Carbone, Marco; Nielsen, Mogens; Sassone, Vladimiro

    2004-01-01

    principals to policies. We elect to formalise policies using a Datalog-like logic, and to express protocols in the process algebra style. This yields an expressive calculus very suitable for the global computing scenarios, and provides a formalisation of notions such as trust evolution. For ctm we define...

  2. Advanced calculus of several variables

    CERN Document Server

    Edwards, C H

    1995-01-01

    Modern conceptual treatment of multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. At the same time, ample attention is paid to the classical applications and computational methods. Hundreds of examples, problems and figures. 1973 edition.

  3. POGIL in the Calculus Classroom

    Science.gov (United States)

    Bénéteau, Catherine; Guadarrama, Zdenka; Guerra, Jill E.; Lenz, Laurie; Lewis, Jennifer E.; Straumanis, Andrei

    2017-01-01

    In this paper, we will describe the experience of the authors in using process-oriented guided inquiry learning (POGIL) in calculus at four institutions across the USA. We will briefly examine how POGIL compares to and fits in with other kinds of inquiry-based learning approaches. In particular, we will first discuss the unique structure of a…

  4. Portfolio Analysis for Vector Calculus

    Science.gov (United States)

    Kaplan, Samuel R.

    2015-01-01

    Classic stock portfolio analysis provides an applied context for Lagrange multipliers that undergraduate students appreciate. Although modern methods of portfolio analysis are beyond the scope of vector calculus, classic methods reinforce the utility of this material. This paper discusses how to introduce classic stock portfolio analysis in a…

  5. Reading the World with Calculus

    Science.gov (United States)

    Verzosa, Debbie

    2015-01-01

    It is now increasingly recognized that mathematics is not a neutral value-free subject. Rather, mathematics can challenge students' taken-for-granted realities and promote action. This article describes two issues, namely deforestation and income inequality. These were specifically chosen because they can be related to a range of calculus concepts…

  6. Constructivized Calculus in College Mathematics

    Science.gov (United States)

    Lawrence, Barbara Ann

    2012-01-01

    The purpose of this study is to present some of the classical concepts, definitions, and theorems of calculus from the constructivists' point of view in the spirit of the philosophies of L.E.J. Brouwer and Errett Bishop. This presentation will compare the classical statements to the constructivized statements. The method focuses on giving…

  7. Stochastic Pi-calculus Revisited

    DEFF Research Database (Denmark)

    Cardelli, Luca; Mardare, Radu Iulian

    2013-01-01

    We develop a version of stochastic Pi-calculus with a semantics based on measure theory. We dene the behaviour of a process in a rate environment using measures over the measurable space of processes induced by structural congruence. We extend the stochastic bisimulation to include the concept of...

  8. The fermion stochastic calculus I

    International Nuclear Information System (INIS)

    Streater, R.F.

    1984-01-01

    The author describes the stochastic calculus of quantum processes with fermions. After a description of the Clifford algebra as the csup(*)-algebra generated by spinor fields the damped harmonic oscillator with quantum noise is considered as example. Then the Clifford process is described. Finally the Ito-Clifford integral and the Ito-Clifford isometry are presented. (HSI)

  9. A "Model" Multivariable Calculus Course.

    Science.gov (United States)

    Beckmann, Charlene E.; Schlicker, Steven J.

    1999-01-01

    Describes a rich, investigative approach to multivariable calculus. Introduces a project in which students construct physical models of surfaces that represent real-life applications of their choice. The models, along with student-selected datasets, serve as vehicles to study most of the concepts of the course from both continuous and discrete…

  10. Calculus Student Descending a Staircase.

    Science.gov (United States)

    Mueller, William

    1999-01-01

    Common student attitudes toward reform methods are conveyed through the thoughts of a student leaving a multivariable calculus exam and musings range over textbooks, homework, workload, group work, writing, noncomputational problems, instructional problems, instructional styles, and classroom activities. (Author/ASK)

  11. The Pendulum and the Calculus.

    Science.gov (United States)

    Sworder, Steven C.

    A pair of experiments, appropriate for the lower division fourth semester calculus or differential equations course, are presented. The second order differential equation representing the equation of motion of a simple pendulum is derived. The period of oscillation for a particular pendulum can be predicted from the solution to this equation. As a…

  12. Multivariable calculus and differential geometry

    CERN Document Server

    Walschap, Gerard

    2015-01-01

    This text is a modern in-depth study of the subject that includes all the material needed from linear algebra. It then goes on to investigate topics in differential geometry, such as manifolds in Euclidean space, curvature, and the generalization of the fundamental theorem of calculus known as Stokes' theorem.

  13. Developing High School Geoscientists through Summer Internships

    Science.gov (United States)

    Saltzman, J.

    2012-12-01

    High school students in the San Francisco Bay Area have the opportunity to contribute to Earth sciences research during the summer at Stanford University. The School of Earth Sciences hosts about 25 high school students each summer to support ongoing research, through more than just washing glassware. To increase diversity in the geosciences, we select students from diverse backgrounds through an application process which lessens the burden on busy faculty. The students work for 15-20 hours per week under the supervision of graduate students or postdoctoral fellows. The supervisors come to value the interns for a few reasons: not only are they getting some extra help with their research, but they are getting teaching experience in an informal but powerful way and supervising the interns' work over the summer. Another key part of the internship is bringing all of the interns together regularly. Whether it is for career talks, lab tours or field trip, high school students find kindred spirits in the group. Another important reason for weekly gatherings is to introduce the students to the wide field of Earth sciences and the different approaches and paths that scientists take. The summer ends with a culminating event where interns make short informal presentations about their research which give them an opportunity to articulate the big questions they have been helping to answer. Some interns are also invited to present a poster in a session for high school students at the Fall AGU meeting. These experiences of working in the laboratory and communicating about the research are part of the world of Earth sciences that are absent for most youth. The high school internships foster good will between Stanford and the local communities, help develop a more Earth and environmentally knowledgeable public and may have a long-term affect on diversifying the geosciences by exposing more young people to these fields.

  14. Reasoning about objects using process calculus techniques

    DEFF Research Database (Denmark)

    Kleist, Josva

    This thesis investigates the applicability of techniques known from the world of process calculi to reason about properties of object-oriented programs. The investigation is performed upon a small object-oriented language - The Sigma-calculus of Abadi and Cardelli. The investigation is twofold: We......-calculus turns out to be insufficient. Based on our experiences, we present a translation of a typed imperative Sigma-calculus, which looks promising. We are able to provide simple proofs of the equivalence of different Sigma-calculus objects using this translation. We use a labelled transition system adapted...... to the Sigma-calculus to investigate the use of process calculi techniques directly on the Sigma-calculus. The results obtained are of a fairly theoretical nature. We investigate the connection between the operational and denotaional semantics for a typed functional Sigma-calculus. The result is that Abadi...

  15. Developing Cloud Chambers with High School Students

    Science.gov (United States)

    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.

  16. Transition from high schools to engineering education

    DEFF Research Database (Denmark)

    Kolmos, Anette; Holgaard, Jette Egelund; Clausen, Nicolaj Riise

    2017-01-01

    Pre-university engineering education has received increasing attention to attract more students to engineering and make them better prepared to enter engineering studies at university level. Denmark is one of the countries that offer established high school curriculum that makes engineering...... the core identity of the school. In a longitudinal research project, the cohort of all Danish engineering students who were enrolled in 2010 has been followed. This study takes a quantitative approach to highlight the differences in preparedness for engineering students who have a background...... themselves as being better prepared in relation to the conduct of experiments, engineering analysis and tolls, as well as in relation to process competences as design, problem solving and teamwork. The students from the profession-oriented high schools also find themselves better prepared in relation...

  17. Early predictors of high school mathematics achievement.

    Science.gov (United States)

    Siegler, Robert S; Duncan, Greg J; Davis-Kean, Pamela E; Duckworth, Kathryn; Claessens, Amy; Engel, Mimi; Susperreguy, Maria Ines; Chen, Meichu

    2012-07-01

    Identifying the types of mathematics content knowledge that are most predictive of students' long-term learning is essential for improving both theories of mathematical development and mathematics education. To identify these types of knowledge, we examined long-term predictors of high school students' knowledge of algebra and overall mathematics achievement. Analyses of large, nationally representative, longitudinal data sets from the United States and the United Kingdom revealed that elementary school students' knowledge of fractions and of division uniquely predicts those students' knowledge of algebra and overall mathematics achievement in high school, 5 or 6 years later, even after statistically controlling for other types of mathematical knowledge, general intellectual ability, working memory, and family income and education. Implications of these findings for understanding and improving mathematics learning are discussed.

  18. On Flipping First-Semester Calculus: A Case Study

    Science.gov (United States)

    Petrillo, Joseph

    2016-01-01

    High failure rates in calculus have plagued students, teachers, and administrators for decades, while science, technology, engineering, and mathematics programmes continue to suffer from low enrollments and high attrition. In an effort to affect this reality, some educators are "flipping" (or inverting) their classrooms. By flipping, we…

  19. An Analysis of Florida's School Districts' Attendance Policies and their Relationship to High School Attendance Rates

    Science.gov (United States)

    Reardon, Ryan Turner

    2008-01-01

    The purpose of this non-experimental correlational study was to determine the relationship between the type of attendance policies in the high schools of the 67 Florida school districts, the size of the school district (number of high school students), the socioeconomic status SES) of the school district, and the average daily attendance rate of…

  20. School Start Times for Middle School and High School Students - United States, 2011-12 School Year.

    Science.gov (United States)

    Wheaton, Anne G; Ferro, Gabrielle A; Croft, Janet B

    2015-08-07

    Adolescents who do not get enough sleep are more likely to be overweight; not engage in daily physical activity; suffer from depressive symptoms; engage in unhealthy risk behaviors such as drinking, smoking tobacco, and using illicit drugs; and perform poorly in school. However, insufficient sleep is common among high school students, with less than one third of U.S. high school students sleeping at least 8 hours on school nights. In a policy statement published in 2014, the American Academy of Pediatrics (AAP) urged middle and high schools to modify start times as a means to enable students to get adequate sleep and improve their health, safety, academic performance, and quality of life. AAP recommended that "middle and high schools should aim for a starting time of no earlier than 8:30 a.m.". To assess state-specific distributions of public middle and high school start times and establish a pre-recommendation baseline, CDC and the U.S. Department of Education analyzed data from the 2011-12 Schools and Staffing Survey (SASS). Among an estimated 39,700 public middle, high, and combined schools* in the United States, the average start time was 8:03 a.m. Overall, only 17.7% of these public schools started school at 8:30 a.m. or later. The percentage of schools with 8:30 a.m. or later start times varied greatly by state, ranging from 0% in Hawaii, Mississippi, and Wyoming to more than three quarters of schools in Alaska (76.8%) and North Dakota (78.5%). A school system start time policy of 8:30 a.m. or later provides teenage students the opportunity to achieve the 8.5-9.5 hours of sleep recommended by AAP and the 8-10 hours recommended by the National Sleep Foundation.

  1. Transitions from high school to college.

    Science.gov (United States)

    Venezia, Andrea; Jaeger, Laura

    2013-01-01

    The vast majority of high school students aspire to some kind of postsecondary education, yet far too many of them enter college without the basic content knowledge, skills, or habits of mind they need to succeed. Andrea Venezia and Laura Jaeger look at the state of college readiness among high school students, the effectiveness of programs in place to help them transition to college, and efforts to improve those transitions. Students are unprepared for postsecondary coursework for many reasons, the authors write, including differences between what high schools teach and what colleges expect, as well as large disparities between the instruction offered by high schools with high concentrations of students in poverty and that offered by high schools with more advantaged students. The authors also note the importance of noncurricular variables, such as peer influences, parental expectations, and conditions that encourage academic study. Interventions to improve college readiness offer a variety of services, from academic preparation and information about college and financial aid, to psychosocial and behavioral supports, to the development of habits of mind including organizational skills, anticipation, persistence, and resiliency. The authors also discuss more systemic programs, such as Middle College High Schools, and review efforts to allow high school students to take college classes (known as dual enrollment). Evaluations of the effectiveness of these efforts are limited, but the authors report that studies of precollege support programs generally show small impacts, while the more systemic programs show mixed results. Dual-enrollment programs show promise, but the evaluation designs may overstate the results. The Common Core State Standards, a voluntary set of goals and expectations in English and math adopted by most states, offer the potential to improve college and career readiness, the authors write. But that potential will be realized, they add, only if the

  2. A Refinement Calculus for Circus - Mini-thesis

    OpenAIRE

    Oliveira, Marcel V. M.

    2004-01-01

    Most software developments do not use any of the existing theories and formalisms. This leads to a loss of precision and correctness on the resulting softwares. Two different approaches to formal techniques have been raised in the past decades: one focus on data aspects, and the other focus on the behavioural aspects of the system. Some combined languages have already been proposed to bring these two schools together. However, as far as we know, none of them has a related refinement calculus....

  3. Predicting Success in College Mathematics from High School Mathematics Preparation

    OpenAIRE

    Shepley, Richard A.

    1983-01-01

    The purpose of this study was to develop a model to predict the college mathematics courses a freshman could expect to pass by considering their high school mathematics preparation. The high school information that was used consisted of the student's sex, the student's grade point average in mathematics, the highest level of high school mathematics courses taken, and the number of mathematics courses taken in high school. The high school sample was drawn from graduated Seniors in the State...

  4. Examples from Astronomy for High School Physics

    Science.gov (United States)

    Dieterich, Sergio

    2016-01-01

    A formal course in physics is increasingly becoming a standard requirement in the high school curriculum. With that dissemination comes the challenge of reaching and motivating a population that is more diverse in their academic abilities and intrinsic motivation. The abstract nature of pure physics is often made more accessible when motivated by examples from everyday life, and providing copious mathematical as well as conceptual examples has become standard practice in high school physics textbooks. Astronomy is a naturally captivating subject and astronomical examples are often successful in capturing the curiosity of high school students as well as the general population. This project seeks to diversify the range of pedagogical materials available to the high school physics instructor by compiling and publishing specific examples where an astronomical concept can be used to motivate the physics curriculum. This collection of examples will consist of both short problems suitable for daily homework assignments as well as longer project style activities. Collaborations are encouraged and inquiries should be directed to sdieterich at carnegiescience dot edu.This work is funded by the NSF Astronomy and Astrophysics Postdoctoral Fellowship Program through NSF grant AST-1400680.

  5. Early Predictors of High School Mathematics Achievement

    Science.gov (United States)

    Siegler, Robert S.; Duncan, Greg J.; Davis-Kean, Pamela E.; Duckworth, Kathryn; Claessens, Amy; Engel, Mimi; Susperreguy, Maria Ines; Meichu, Chen

    2012-01-01

    Identifying the types of mathematics content knowledge that are most predictive of students' long-term learning is essential for improving both theories of mathematical development and mathematics education. To identify these types of knowledge, we examined long-term predictors of high school students' knowledge of algebra and overall mathematics…

  6. Teaching the EPR Paradox at High School?

    Science.gov (United States)

    Pospiech, Gesche

    1999-01-01

    Argues the importance of students at university and in the final years of high school gaining an appreciation of the principles of quantum mechanics. Presents the EPR gedanken experiment (thought experiment) as a method of teaching the principles of quantum mechanics. (Author/CCM)

  7. Complex Development Report: Moanalua High School.

    Science.gov (United States)

    Anbe, Aruga and Ishizu, Architects, Inc., Honolulu, HI.

    This report documents the planning process and the decisions involved in master planning a proposed Honolulu high school, and it provides guidance for the implementation of those increments remaining after phase one of the first increment had been completed in September 1972. Phase two of the first increment and the second increment are now under…

  8. Planning of high school examinations in Denmark

    DEFF Research Database (Denmark)

    Vidal, Rene Victor Valqui; Hansen, Michael Pilegaard

    1995-01-01

    This paper presents a computer based support system used to plan high school examinations in Denmark. We will discuss the methods and techniques used to solve such a complex and large scale combinatorial problem. Decomposition and other heuristic principles have been used extensively to develop...

  9. HUMANITIES IN A JUNIOR HIGH SCHOOL.

    Science.gov (United States)

    KNIGHT, BONNIE M.

    A HUMANITIES COURSE HAS BEEN DEVELOPED FOR ACADEMICALLY ABLE SEVENTH-GRADE STUDENTS IN BRANCIFORTE JUNIOR HIGH SCHOOL IN SANTA CRUZ, CALIFORNIA. IN A TWO-PERIOD DAILY TIME BLOCK, STUDENTS LEARN ENGLISH, LITERATURE, AND LATIN, AND INVESTIGATE TOPICS IN ARCHEOLOGY, CULTURAL ANTHROPOLOGY, LINGUISTICS, PSYCHOLOGY, PHILOSOPHY, GREEK LITERATURE AND…

  10. Job Satisfaction of High School Journalism Educators.

    Science.gov (United States)

    Dvorak, Jack; Phillips, Kay D.

    Four research questions are posed to explore the job satisfaction of high school journalism educators. A national random sample of 669 respondents shows that journalism educators are generally satisfied with their jobs--more so than teachers in other disciplines. Multiple regression analysis using Herzberg's motivation-hygiene theory as a…

  11. The Gravity Model for High School Students

    Science.gov (United States)

    Tribble, Paul; Mitchell, William A.

    1977-01-01

    The authors suggest ways in which the gravity model can be used in high school geography classes. Based on Newton's Law of Molecular Gravitation, the law states that gravitation is in direct ratio to mass and inverse ratio to distance. One activity for students involves determination of zones of influence of cities of various sizes. (Author/AV)

  12. An Exemplary High School Literary Magazine: "Cinnabar."

    Science.gov (United States)

    Holbrook, Hilary Taylor, Comp.

    One of a series of 20 literary magazine profiles written to help faculty advisors wishing to start or improve their publication, this profile provides information on staffing and production of "Cinnabar," the magazine published by Ward Melville High School, Setauket, New York. The introduction describes the literary magazine contest (and…

  13. Grandfather Tang Goes to High School

    Science.gov (United States)

    Johnson, Iris DeLoach

    2006-01-01

    This article describes how the children's literature book, Grandfather Tang's Story, which is commonly used in the elementary grades, may be used at the high school level to engage students in an exploration of area and perimeter which includes basic operations with square roots, ordering numbers (decimal approximations, and their exact…

  14. High School Peer Helping: A Program Evaluation.

    Science.gov (United States)

    Kilgariff, Lisa; Solomon, Mindy; Zanotti, Mary; Chambliss, Catherine

    Peer helpers can act as liaisons to high school guidance departments by identifying problems, making appropriate referrals, and encouraging others to obtain professional help if necessary. An active program can help ensure that in the future students are better prepared to handle conflicts that arise within marriage, career, and family. This study…

  15. Choosing High School Courses with Purpose

    Science.gov (United States)

    Ayotte, Steve; Sevier, Sharon

    2010-01-01

    In choosing high school courses, students often seem to focus on everything except preparation for an intended major or career. They consider graduation requirements, weighted classes, easy classes...but rarely are these types of choices preparing students for postsecondary education. This article describes the "Career Companion Guide"…

  16. Neoliberalism inside Two American High Schools

    Science.gov (United States)

    Cleary, Joseph, Jr.

    2017-01-01

    This article examines "neoliberalism" inside two American public high schools. The work of one leading critical theorist, Mark Olssen, is explained and examined. Particular attention is paid to Olssen's concepts of "homo economicus" and "manipulatable man." It is concluded that Olssen's theories on neoliberalism…

  17. Nematodes: Model Organisms in High School Biology

    Science.gov (United States)

    Bliss, TJ; Anderson, Margery; Dillman, Adler; Yourick, Debra; Jett, Marti; Adams, Byron J.; Russell, RevaBeth

    2007-01-01

    In a collaborative effort between university researchers and high school science teachers, an inquiry-based laboratory module was designed using two species of insecticidal nematodes to help students apply scientific inquiry and elements of thoughtful experimental design. The learning experience and model are described in this article. (Contains 4…

  18. Using Creative Group Techniques in High Schools

    Science.gov (United States)

    Veach, Laura J.; Gladding, Samuel T.

    2007-01-01

    Groups in high schools that use creative techniques help adolescents express their emotions appropriately, behave differently, and gain insight into themselves and others. This article looks at seven different creative arts media--music, movement, visual art, literature, drama, play, and humor--and offers examples of how they can be used in groups…

  19. AAPT/NSTA High School Physics Examination.

    Science.gov (United States)

    Nelson, James

    1983-01-01

    Discusses development of the American Association of Physics Teachers and National Science Teachers Association (AAPT/NSTA) high school physics examination. Includes sample examination questions and distribution of topics: mechanics (30 percent), waves/optics/sound (20 percent), heat/kinetic theory (10 percent), electricity/magnetism (25 percent),…

  20. San Diego's High School Dropout Crisis

    Science.gov (United States)

    Wilson, James C.

    2012-01-01

    This article highlights San Diego's dropout problem and how much it's costing the city and the state. Most San Diegans do not realize the enormous impact high school dropouts on their city. The California Dropout Research Project, located at the University of California at Santa Barbara, has estimated the lifetime cost of one class or cohort of…

  1. Discrete mathematics in the high school curriculum

    NARCIS (Netherlands)

    Anderson, I.; Asch, van A.G.; van Lint, J.H.

    2004-01-01

    In this paper we present some topics from the field of discrete mathematics which might be suitable for the high school curriculum. These topics yield both easy to understand challenging problems and important applications of discrete mathematics. We choose elements from number theory and various

  2. Socialism in High School Social Studies Textbooks

    Science.gov (United States)

    Neumann, Richard

    2012-01-01

    This article concerns textbook analysis regarding the presentation of socialism in four leading high school social studies books, one in each of the following subjects: United States history, world history, United States government, and economics. Findings indicate that students relying on these texts to gain understanding of socialism and…

  3. Outline of High School Credit Courses.

    Science.gov (United States)

    South Carolina State Dept. of Education, Columbia.

    An outline is presented of the objectives and content of courses offered for credit in high schools in South Carolina. Courses in the following subjects are described: (1) art; (2) drama; (3) driver education; (4) environmental education; (5) foreign language: French, German, Russian, Spanish; (6) health; (7) language arts; (8) mathematics; (9)…

  4. High School Dropout and Teen Childbearing

    Science.gov (United States)

    Marcotte, Dave E.

    2013-01-01

    Understanding the relationship between high school dropout and teen childbearing is complicated because both are affected by a variety of difficult to control factors. In this paper, I use panel data on aggregate dropout and fertility rates by age for all fifty states to develop insight by instrumenting for dropout using information on state…

  5. Like a Rock: Far Rockaway High School

    Science.gov (United States)

    Whelan, Debra Lau

    2007-01-01

    Students from Far Rockaway High School are just back from spring break, and media specialist Geri Ellner is busy getting ready for her first class. She's already pulled out a copy of Anthony Browne's award-winning picture book "The Shape Game" (Farrar, 2003), and now she's patiently cuing up a Disney video of "Pocahontas" on…

  6. High School Womens' Studies: A Working Model

    Science.gov (United States)

    Adler, Iris

    1976-01-01

    Discusses several difficulties in bringing the womens' movement into the high schools, noting a strong resistance to feminism by the students themselves. The authors course began with discussions on what it meant to be a girl, daughter, and female student; focused on women and the media; examined women in other cultures; and finally discussed…

  7. Self-Esteem of Junior High and High School Students.

    Science.gov (United States)

    Lee, Kimberly E.

    The purpose of this thesis was to investigate the self-esteem of junior high and high school students. The independent variables investigated were quality of family life, birth order, family size, maternal employment, grade level and family structure. The dependent variables were the self-esteem scores from the following sub-scales of the Texas…

  8. Building a Virtual High School...Click by Click

    Science.gov (United States)

    Podoll, Sue; Randle, Darcy

    2005-01-01

    The Rapid City Academy is the alternative high school program for South Dakota's Rapid City Area Schools, which has an enrollment of about 13,000 K-12 students, with five middle schools feeding two large traditional high schools and the alternative program. A high percentage of students at the academy are considered "at-risk" due to…

  9. Continuing Care in High Schools: A Descriptive Study of Recovery High School Programs

    Science.gov (United States)

    Finch, Andrew J.; Moberg, D. Paul; Krupp, Amanda Lawton

    2014-01-01

    Data from 17 recovery high schools suggest programs are dynamic and vary in enrollment, fiscal stability, governance, staffing, and organizational structure. Schools struggle with enrollment, funding, lack of primary treatment accessibility, academic rigor, and institutional support. Still, for adolescents having received treatment for substance…

  10. Reduction of Social Inequality in High School

    DEFF Research Database (Denmark)

    Jensen, Ulla Højmark

    2014-01-01

    This article explores structures in the learning environment at the classroom level that can contribute to reduction of social inequality in education. It draws on qualitative observation studies of Latino’s in high schools in New York City, USA, by a Danish researcher. The purpose of this article...... is to explore ‘good examples’ from an outsider’s perspective and there by create an empirical and theoretical focus on how school characteristics and structures cross boarders are connected to the reduction of social inequality in education....

  11. Harmfulness of smoking among high school students

    Directory of Open Access Journals (Sweden)

    Iwona Rotter

    2013-03-01

    Full Text Available Introduction: The aim of the study was to assess the level of awareness of smoking and non smoking students on harmful impact of nicotine and cigarette smoke on human body. Material and methods: The study was carried out in March 2011 in high schools in Szczecin. Own elaborated questionnaire was used. 288 students from high school, technical college and vocational school were tested. Results: The majority of responders (95,1% claimed that cigarette smoke is harmful both for passive and active smokers. They most often pinpoint the direct cause connected with smoking to pulmonary diseases (264 persons and cancers (240 persons. Almost 90% of students found negative impact of tobacco products on development of fetus of pregnant women. Overwhelming majority of respondents (83,2% feels anxious if it comes to stay in a room filled with smoke. Conclusions: The awareness of high school students on negative influence of smoking on human body is quite satisfactory, but there is still a need for more education in the range of diseases and symptoms connected with smoking.

  12. The dental calculus metabolome in modern and historic samples.

    Science.gov (United States)

    Velsko, Irina M; Overmyer, Katherine A; Speller, Camilla; Klaus, Lauren; Collins, Matthew J; Loe, Louise; Frantz, Laurent A F; Sankaranarayanan, Krithivasan; Lewis, Cecil M; Martinez, Juan Bautista Rodriguez; Chaves, Eros; Coon, Joshua J; Larson, Greger; Warinner, Christina

    2017-01-01

    Dental calculus is a mineralized microbial dental plaque biofilm that forms throughout life by precipitation of salivary calcium salts. Successive cycles of dental plaque growth and calcification make it an unusually well-preserved, long-term record of host-microbial interaction in the archaeological record. Recent studies have confirmed the survival of authentic ancient DNA and proteins within historic and prehistoric dental calculus, making it a promising substrate for investigating oral microbiome evolution via direct measurement and comparison of modern and ancient specimens. We present the first comprehensive characterization of the human dental calculus metabolome using a multi-platform approach. Ultra performance liquid chromatography-tandem mass spectrometry (UPLC-MS/MS) quantified 285 metabolites in modern and historic (200 years old) dental calculus, including metabolites of drug and dietary origin. A subset of historic samples was additionally analyzed by high-resolution gas chromatography-MS (GC-MS) and UPLC-MS/MS for further characterization of metabolites and lipids. Metabolite profiles of modern and historic calculus were compared to identify patterns of persistence and loss. Dipeptides, free amino acids, free nucleotides, and carbohydrates substantially decrease in abundance and ubiquity in archaeological samples, with some exceptions. Lipids generally persist, and saturated and mono-unsaturated medium and long chain fatty acids appear to be well-preserved, while metabolic derivatives related to oxidation and chemical degradation are found at higher levels in archaeological dental calculus than fresh samples. The results of this study indicate that certain metabolite classes have higher potential for recovery over long time scales and may serve as appropriate targets for oral microbiome evolutionary studies.

  13. Factors Associated with Success in College Calculus II

    Science.gov (United States)

    Rosasco, Margaret E.

    2013-01-01

    Students are entering college having earned credit for college Calculus 1 based on their scores on the College Board's Advanced Placement (AP) Calculus AB exam. Despite being granted credit for college Calculus 1, it is unclear whether these students are adequately prepared for college Calculus 2. College calculus classes are often taught from a…

  14. Astrobiology in an Urban New York City High School: John Dewey High School's Space Science Academy

    Science.gov (United States)

    Fried, B.; Dash, H. B.

    2010-04-01

    John Dewey High School's participation in NASA's MESDT and DLN projects and other partnerships provide opportunities for our diverse population, focusing particular attention to under-represented and under-served groups in the field of Space Science.

  15. The Effect of High School Shootings on Schools and Student Performance

    Science.gov (United States)

    Beland, Louis-Philippe; Kim, Dongwoo

    2016-01-01

    We analyze how fatal shootings in high schools affect schools and students using data from shooting databases, school report cards, and the Common Core of Data. We examine schools' test scores, enrollment, number of teachers, graduation, attendance, and suspension rates at schools that experienced a shooting, employing a difference-in-differences…

  16. Toward lattice fractional vector calculus

    Science.gov (United States)

    Tarasov, Vasily E.

    2014-09-01

    An analog of fractional vector calculus for physical lattice models is suggested. We use an approach based on the models of three-dimensional lattices with long-range inter-particle interactions. The lattice analogs of fractional partial derivatives are represented by kernels of lattice long-range interactions, where the Fourier series transformations of these kernels have a power-law form with respect to wave vector components. In the continuum limit, these lattice partial derivatives give derivatives of non-integer order with respect to coordinates. In the three-dimensional description of the non-local continuum, the fractional differential operators have the form of fractional partial derivatives of the Riesz type. As examples of the applications of the suggested lattice fractional vector calculus, we give lattice models with long-range interactions for the fractional Maxwell equations of non-local continuous media and for the fractional generalization of the Mindlin and Aifantis continuum models of gradient elasticity.

  17. Metric regularity and subdifferential calculus

    International Nuclear Information System (INIS)

    Ioffe, A D

    2000-01-01

    The theory of metric regularity is an extension of two classical results: the Lyusternik tangent space theorem and the Graves surjection theorem. Developments in non-smooth analysis in the 1980s and 1990s paved the way for a number of far-reaching extensions of these results. It was also well understood that the phenomena behind the results are of metric origin, not connected with any linear structure. At the same time it became clear that some basic hypotheses of the subdifferential calculus are closely connected with the metric regularity of certain set-valued maps. The survey is devoted to the metric theory of metric regularity and its connection with subdifferential calculus in Banach spaces

  18. Brownian motion and stochastic calculus

    CERN Document Server

    Karatzas, Ioannis

    1998-01-01

    This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed. The power of this calculus is illustrated by results concerning representations of martingales and change of measure on Wiener space, and these in turn permit a presentation of recent advances in financial economics (option pricing and consumption/investment optimization). This book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The text is complemented by a large num...

  19. Discrete calculus methods for counting

    CERN Document Server

    Mariconda, Carlo

    2016-01-01

    This book provides an introduction to combinatorics, finite calculus, formal series, recurrences, and approximations of sums. Readers will find not only coverage of the basic elements of the subjects but also deep insights into a range of less common topics rarely considered within a single book, such as counting with occupancy constraints, a clear distinction between algebraic and analytical properties of formal power series, an introduction to discrete dynamical systems with a thorough description of Sarkovskii’s theorem, symbolic calculus, and a complete description of the Euler-Maclaurin formulas and their applications. Although several books touch on one or more of these aspects, precious few cover all of them. The authors, both pure mathematicians, have attempted to develop methods that will allow the student to formulate a given problem in a precise mathematical framework. The aim is to equip readers with a sound strategy for classifying and solving problems by pursuing a mathematically rigorous yet ...

  20. The Effect of High School Shootings on Schools and Student Performance

    OpenAIRE

    Louis-Philippe Beland; Dongwoo Kim

    2015-01-01

    We analyze how fatal shootings in high schools affect schools and students using data from shooting databases, school report cards, and the Common Core of Data. We examine schools’ test scores, enrollment, and number of teachers, as well as graduation, attendance, and suspension rates at schools that experienced a shooting, employing a difference-in-differences strategy that uses other high schools in the same district as the comparison group. Our findings suggest that homicidal shootings s...

  1. Bacterial Viability within Dental Calculus: An Untrodden, Inquisitive Clinico-Patho- Microbiological Research.

    Science.gov (United States)

    Gupta, Swati; Jain, P K; Kumra, Madhumani; Rehani, Shweta; Mathias, Yulia; Gupta, Ramakant; Mehendiratta, Monica; Chander, Anil

    2016-07-01

    Chronic inflammatory periodontal diseases i.e. gingivitis and periodontitis are one of the most common afflictions faced by human beings. Dental plaque, which is a pool of pathogenic microorganisms, remains to be current mainstay in etiopathogenesis. Dental calculus, which is a mineralized product of this plaque remains ignored and is considered merely as an ash heap of minor significance. However, the intriguing array in disease etiopathogenesis bulldozed researchers to suspect the role of calculus in disease chrysalis but still the viability of bacteria inside calculus and thus its pathogenicity remains an intricacy; the answer to which lies in the Pandora's Box. The present study was undertaken to investigate the viability of bacteria within dental calculus along with their identification. Also, to classify dental calculus on the basis of mineralization and to observe the variation of viable microflora found in dental calculus with the extent of mineralization and disease severity. A total of 60 samples were obtained, by harvesting two samples of supragingival calculus from each patient having chronic inflammatory periodontal disease. These samples were divided into two groups (Group A and Group B). Samples of Group A were kept non-irradiated and samples of Group B were exposed to UV radiation. The samples were categorized into less, moderately and highly mineralized according to the force required for crushing them. All the crushed calculus samples were then divided into three parts. These were used for dark-field microscopy, gram staining and bacterial cultures. Bacterial identification of the cultures obtained was also carried out by performing various biochemical assays. The present study revealed the presence of motile spirochaetes within the samples under dark-field microscope. Gram staining revealed presence of numerous gram positive cocci and gram negative bacilli. Bacterial cultures showed growth of variety of aerobic and capnophilic microorganisms. The

  2. Space complexity in polynomial calculus

    Czech Academy of Sciences Publication Activity Database

    Filmus, Y.; Lauria, M.; Nordström, J.; Ron-Zewi, N.; Thapen, Neil

    2015-01-01

    Roč. 44, č. 4 (2015), s. 1119-1153 ISSN 0097-5397 R&D Projects: GA AV ČR IAA100190902; GA ČR GBP202/12/G061 Institutional support: RVO:67985840 Keywords : proof complexity * polynomial calculus * lower bounds Subject RIV: BA - General Mathematics Impact factor: 0.841, year: 2015 http://epubs.siam.org/doi/10.1137/120895950

  3. Transformational Leadership and Teacher Motivation in Southwestern Arizona High Schools

    Science.gov (United States)

    Reynolds, Catherine L.

    2009-01-01

    The purpose of this study was to explore the relationship between transformational leadership and teacher motivation in Southwestern Arizona high schools. Teachers in a school district in Southwestern Arizona comprised of high schools were surveyed using two instruments, Leithwood and Jantzi's (1998) The Leadership and Management of Schools in…

  4. James Madison High: A School at the Crossroads

    Science.gov (United States)

    Stroup, John T.; Salmonowicz, Michael J.; Broom, Christopher C.

    2007-01-01

    This case tells the story of James Madison High School, which became the epicenter of a debate over the future reorganization and control of large secondary schools in the Los Angeles Unified School District (LAUSD). The LAUSD, recently taken over by the newly elected mayor, was fighting for control of this 3,000-student high school with a charter…

  5. Motivating Calculus-Based Kinematics Instruction with Super Mario Bros

    Science.gov (United States)

    Nordine, Jeffrey C.

    2011-09-01

    High-quality physics instruction is contextualized, motivates students to learn, and represents the discipline as a way of investigating the world rather than as a collection of facts and equations. Inquiry-oriented pedagogy, such as problem-based instruction, holds great promise for both teaching physics content and representing the process of doing real science.2 A challenge for physics teachers is to find instructional contexts that are meaningful, accessible, and motivating for students. Today's students are spending a growing fraction of their lives interacting with virtual environments, and these environments—physically realistic or not—can provide valuable contexts for physics explorations3-5 and lead to thoughtful discussions about decisions that programmers make when designing virtual environments. In this article, I describe a problem-based approach to calculus-based kinematics instruction that contextualizes students' learning within the Super Mario Bros. video game—a game that is more than 20 years old, but still remarkably popular with today's high school and college students.

  6. [Fluorescence control of dental calculus removal].

    Science.gov (United States)

    Bakhmutov, D N; Gonchukov, S A; Lonkina, T V; Sukhinina, A V

    2012-01-01

    The main condition of periodontitis prevention is the full calculus removal from the teeth surface. This procedure should be fulfilled without harming adjacent unaffected tooth tissues. Nevertheless the problem of sensitive and precise estimating of tooth-calculus interface exists and potential risk of hard tissue damage remains. In the frames of this work it was shown that fluorescence diagnostics during calculus removal can be successfully used for precise detection of tooth-calculus interface. In so doing the simple implementation of this method free from the necessity of spectrometer using can be employed. Such a simple implementation of calculus detection set-up can be aggregated with the devices of calculus removing (as ultrasonic or laser devices).

  7. The malliavin calculus and related topics

    CERN Document Server

    Nualart, David

    1995-01-01

    The Malliavin calculus (or stochastic calculus of variations) is an infinite-dimensional differential calculus on the Wiener space Originally, it was developed to prove a probabilistic proof to Hörmander's "sum of squares" theorem, but more recently it has found application in a variety of stochastic differential equation problems This monograph presents the main features of the Malliavin calculus and discusses in detail its connection with the anticipating stochastic calculus The author begins by developing analysis on the Wiener space, and then uses this to analyze the regularity of probability laws and to prove Hörmander's theorem Subsequent chapters apply the Malliavin calculus to anticipating stochastic differential equations and to studying the Markov property of solutions to stochastic differential equations with boundary conditions

  8. Sleep disorders among high school students in New Zealand

    OpenAIRE

    Fernando AT; Samaranayake CB; Blank CJ; Roberts G; Arroll B

    2013-01-01

    INTRODUCTION: Adolescents are known to have high risk factors for sleep disorders, yet the youth rates of sleep disturbances are unknown. AIM: This study aimed to determine the prevalence of sleep disorders among New Zealand high school students. METHODS: The Auckland Sleep Questionnaire (ASQ) was administered to high school students at six schools in the North Island. Schools were chosen to reflect a range of ethnicities and school deciles, which identify the socioeconomic status of househol...

  9. Regge calculus from discontinuous metrics

    International Nuclear Information System (INIS)

    Khatsymovsky, V.M.

    2003-01-01

    Regge calculus is considered as a particular case of the more general system where the linklengths of any two neighbouring 4-tetrahedra do not necessarily coincide on their common face. This system is treated as that one described by metric discontinuous on the faces. In the superspace of all discontinuous metrics the Regge calculus metrics form some hypersurface defined by continuity conditions. Quantum theory of the discontinuous metric system is assumed to be fixed somehow in the form of quantum measure on (the space of functionals on) the superspace. The problem of reducing this measure to the Regge hypersurface is addressed. The quantum Regge calculus measure is defined from a discontinuous metric measure by inserting the δ-function-like phase factor. The requirement that continuity conditions be imposed in a 'face-independent' way fixes this factor uniquely. The term 'face-independent' means that this factor depends only on the (hyper)plane spanned by the face, not on it's form and size. This requirement seems to be natural from the viewpoint of existence of the well-defined continuum limit maximally free of lattice artefacts

  10. The High School student’s journey:

    DEFF Research Database (Denmark)

    Gholamian, Jamshid

    The aim of this paper is to examine the construction of self and other in counseling conversations between students with an ethnic minority background and counselors in 3 high schools in Copenhagen, Denmark. The analysis is based on Russian philosopher Mikhail Bakhtin’s literary theory of Chronot......The aim of this paper is to examine the construction of self and other in counseling conversations between students with an ethnic minority background and counselors in 3 high schools in Copenhagen, Denmark. The analysis is based on Russian philosopher Mikhail Bakhtin’s literary theory...... of Chronotope. I see the concept as useful in connection with students' self-constructions (autobiographies). The analysis shows how time and space plays into the counseling conversations, and how other contexts and dialogues play a stronger role in the students design of themselves; that is, how a fusion...

  11. Premenstrual syndrome (PMS among high school students

    Directory of Open Access Journals (Sweden)

    Buddhabunyakan N

    2017-07-01

    Full Text Available Nattapong Buddhabunyakan, Srinaree Kaewrudee, Chompilas Chongsomchai, Sukree Soontrapa, Woraluk Somboonporn, Jen Sothornwit Department of Obstetrics and Gynaecology, Faculty of Medicine, Khon Kaen University, Khon Kaen, Thailand Background: Premenstrual syndrome (PMS is a common health problem among adolescents.Objective: To assess the prevalence of PMS in Thai high school students.Materials and methods: This was a prospective study conducted among menstruating high school students in Khon Kaen, Thailand, from September to December, 2015. Participants were asked to prospectively complete an anonymous questionnaire, which included information about demographic data, menstrual patterns, and symptoms to be recorded on a daily calendar of premenstrual experiences according to the diagnostic criteria proposed by the American College of Obstetricians and Gynecologists. All of the data were prospectively recorded for 90 consecutive days.Results: Of the 399 participants, 289 (72.4% completed the self-report questionnaire. Eighty-six participants (29.8%; 95% CI, 24.5%–35.4% reported having PMS. The most common somatic and affective symptoms among participants with PMS were breast tenderness (74.4% and angry outbursts (97.7%. There were significant differences between the PMS and non-PMS groups, and PMS was associated with various problems related to educational activities, including lack of concentration and motivation, poor individual work performance, poor collaborative work performance, and low scores. However, there were no significant differences regarding interpersonal relationships between the PMS and non-PMS groups.Conclusions: PMS is a common menstrual disorder among Thai high school students. The most common symptoms reported in this study were angry outbursts and breast tenderness. Keywords: premenstrual symptoms, prevalence, association, high school students

  12. Factors Associated with Absenteeism in High Schools

    OpenAIRE

    DEMIR, Kamile; AKMAN KARABEYOGLU, Yasemin

    2016-01-01

    Problem Statement: There are many factors that affect student achievement directly and indirectly at the secondary educational level. Lower attendance rates have been cited as detrimental to academic achievement; therefore, it is suggested that improved attendance is a direct indicator, rather than determinant of students’ academic achievement.Purpose of Study: The main purpose of this study was to investigate the effect of individual, family and school variables on absenteeism among high sch...

  13. Citizenship Engagement: Responses from High School Students

    OpenAIRE

    Martin, Leisa A.

    2017-01-01

    In the United States, the main mission of social studies education is to prepare students for citizenship. With this in mind, the following study examined 191 high school students’ views on how they demonstrated citizenship. Traditionally with this age group, personally responsible citizenship has been a common form of self-reported citizenship engagement. However, in this study, the students seemed to conceptualize citizenship differently. With the Akwesasne Mohawk students, the European Ame...

  14. Dental Calculus Arrest of Dental Caries

    OpenAIRE

    Keyes, Paul H.; Rams, Thomas E.

    2016-01-01

    Background An inverse relationship between dental calculus mineralization and dental caries demineralization on teeth has been noted in some studies. Dental calculus may even form superficial layers over existing dental caries and arrest their progression, but this phenomenon has been only rarely documented and infrequently considered in the field of Cariology. To further assess the occurrence of dental calculus arrest of dental caries, this study evaluated a large number of extracted human t...

  15. Jet-calculus approach including coherence effects

    International Nuclear Information System (INIS)

    Jones, L.M.; Migneron, R.; Narayanan, K.S.S.

    1987-01-01

    We show how integrodifferential equations typical of jet calculus can be combined with an averaging procedure to obtain jet-calculus-based results including the Mueller interference graphs. Results in longitudinal-momentum fraction x for physical quantities are higher at intermediate x and lower at large x than with the conventional ''incoherent'' jet calculus. These results resemble those of Marchesini and Webber, who used a Monte Carlo approach based on the same dynamics

  16. At-risk high school seniors: Science remediation for Georgia's High School Graduation Test

    Science.gov (United States)

    Carroll, Carolyn M.

    State departments of education have created a system of accountability for the academic achievement of students under the mandate of the No Child Left Behind Act of 2001. The Georgia Department of Education established the Georgia High School Graduation Test (GHSGT) as their method of evaluating the academic achievement of high school students. The GHSGT consist of five sections and students must pass all five sections before students they are eligible to receive a diploma. The purpose of the study was to examine the effects of teacher-lead and computer based remediation for a group of high school seniors who have been unsuccessful in passing the science portion of the GHSGT. The objectives of this study include (a) Identify the most effective method of remediation for at-risk students on the science section of the GHSGT, and (b) evaluate the methods of remediation for at-risk students on the science section of GHSGT available to high school students. The participants of this study were at-risk seniors enrolled in one high school during the 2007-2008 school year. The findings of this research study indicated that at-risk students who participated in both types of remediation, teacher-led and computer-based, scored significantly higher than the computer-based remediation group alone. There was no significant relationship between the test scores and the number of times the students were tested.

  17. Analysis of high school students’ environmental literacy

    Science.gov (United States)

    Wardani, R. A. K.; Karyanto, P.; Ramli, M.

    2018-05-01

    The student’s environmental literacy (EL) is a vital component to improve the awareness of student on environmental issues. This research aims to measure and analyse the EL of high school students, and how the topic of environment has been taught in high school. The research was conducted in February to April 2017. The EL was measured on three aspects, i.e. knowledge, attitude and concern. The participants were sixty-five (21 boys, 44 girls) purposively selected from students of grade X, XI and XII of one Senior High School in Karanganyar Regency, Indonesia. The knowledge of students on concepts of environmental issues was tested by fourteen main questions followed by supported questions. The result showed that 80% of students were classified as inadequate category. The attitude of students was measured by New Ecological Paradigm (NEP) consisted of fifteen items, and students’ average score was 46.42 (medium). The concern was measured by fifteen statements about environment, and it was ranged from 2.58 to 4.18. EL of students may low due to students’ lack understanding of the environment concepts, the limited theories and concepts transferred to students, inappropriate lesson plan to meet the EL components.

  18. Forensic Science Curriculum for High School Students

    Science.gov (United States)

    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.

  19. Time scales: from Nabla calculus to Delta calculus and vice versa via duality

    OpenAIRE

    Caputo, M. Cristina

    2009-01-01

    In this note we show how one can obtain results from the nabla calculus from results on the delta calculus and vice versa via a duality argument. We provide applications of the main results to the calculus of variations on time scales.

  20. A Calculus for Context-Awareness

    DEFF Research Database (Denmark)

    Zimmer, Pascal

    2005-01-01

    In order to answer the challenge of pervasive computing, we propose a new process calculus, whose aim is to describe dynamic systems composed of agents able to move and react differently depending on their location. This Context-Aware Calculus features a hierarchical structure similar to mobile...... ambients, and a generic multi-agent synchronization mechanism, inspired from the join-calculus. After general ideas and introduction, we review the full calculus' syntax and semantics, as well as some motivating examples, study its expressiveness, and show how the notion of computation itself can be made...

  1. A Higher-Order Calculus for Categories

    DEFF Research Database (Denmark)

    Cáccamo, Mario José; Winskel, Glynn

    2001-01-01

    A calculus for a fragment of category theory is presented. The types in the language denote categories and the expressions functors. The judgements of the calculus systematise categorical arguments such as: an expression is functorial in its free variables; two expressions are naturally isomorphic...... in their free variables. There are special binders for limits and more general ends. The rules for limits and ends support an algebraic manipulation of universal constructions as opposed to a more traditional diagrammatic approach. Duality within the calculus and applications in proving continuity are discussed...... with examples. The calculus gives a basis for mechanising a theory of categories in a generic theorem prover like Isabelle....

  2. A κ-symmetry calculus for superparticles

    International Nuclear Information System (INIS)

    Gauntlett, J.P.

    1991-01-01

    We develop a κ-symmetry calculus for the d=2 and d=3, N=2 massive superparticles, which enables us to construct higher order κ-invariant actions. The method relies on a reformulation of these models as supersymmetric sigma models that are invariant under local worldline superconformal transformations. We show that the κ-symmetry is embedded in the superconformal symmetry so that a calculus for the κ-symmetry is equivalent to a tensor calculus for the latter. We develop such a calculus without the introduction of a wordline supergravity multiplet. (orig.)

  3. Generalized vector calculus on convex domain

    Science.gov (United States)

    Agrawal, Om P.; Xu, Yufeng

    2015-06-01

    In this paper, we apply recently proposed generalized integral and differential operators to develop generalized vector calculus and generalized variational calculus for problems defined over a convex domain. In particular, we present some generalization of Green's and Gauss divergence theorems involving some new operators, and apply these theorems to generalized variational calculus. For fractional power kernels, the formulation leads to fractional vector calculus and fractional variational calculus for problems defined over a convex domain. In special cases, when certain parameters take integer values, we obtain formulations for integer order problems. Two examples are presented to demonstrate applications of the generalized variational calculus which utilize the generalized vector calculus developed in the paper. The first example leads to a generalized partial differential equation and the second example leads to a generalized eigenvalue problem, both in two dimensional convex domains. We solve the generalized partial differential equation by using polynomial approximation. A special case of the second example is a generalized isoperimetric problem. We find an approximate solution to this problem. Many physical problems containing integer order integrals and derivatives are defined over arbitrary domains. We speculate that future problems containing fractional and generalized integrals and derivatives in fractional mechanics will be defined over arbitrary domains, and therefore, a general variational calculus incorporating a general vector calculus will be needed for these problems. This research is our first attempt in that direction.

  4. Pre-calculus workbook for dummies

    CERN Document Server

    Kuang, Yang

    2011-01-01

    Get the confidence and math skills you need to get started with calculus Are you preparing for calculus? This hands-on workbook helps you master basic pre-calculus concepts and practice the types of problems you'll encounter in the course. You'll get hundreds of valuable exercises, problem-solving shortcuts, plenty of workspace, and step-by-step solutions to every problem. You'll also memorize the most frequently used equations, see how to avoid common mistakes, understand tricky trig proofs, and much more. Pre-Calculus Workbook For Dummies is the perfect tool for anyone who wa

  5. Case Studies of Leading Edge Small Urban High Schools. Relevance Strategic Designs: 6. Perspectives Charter School

    Science.gov (United States)

    Shields, Regis Anne; Ireland, Nicole; City, Elizabeth; Derderian, Julie; Miles, Karen Hawley

    2008-01-01

    This report is one of nine detailed case studies of small urban high schools that served as the foundation for the Education Resource Strategies (ERS) report "Strategic Designs: Lessons from Leading Edge Small Urban High Schools." These nine schools were dubbed "Leading Edge Schools" because they stand apart from other high…

  6. Graduation Rates in South Carolina Public High Schools: The Effect of School Size and Socioeconomic Status

    Science.gov (United States)

    Rivers, Thomas E., Jr.

    2012-01-01

    This study included a comparison of the graduation rates among high schools in South Carolina closely analyzing school size and socioeconomic status. The purpose for the study was to answer two questions: What patterns and relationships exist between school size and graduation rates at high schools in South Carolina? What patterns and…

  7. Relations between Popularity and Prosocial Behavior in Middle School and High School Chinese Adolescents

    Science.gov (United States)

    Lu, Ting; Li, Ling; Niu, Li; Jin, Shenghua; French, Doran C.

    2018-01-01

    The concurrent and longitudinal associations between popularity, likeability, and prosocial behavior were evaluated in this three-year study of middle school and high school Chinese adolescents. The initial sample included 766 middle school (mean age = 13.3 years) and 668 high school participants (mean age = 16.6 years); there were 880 (399 girls)…

  8. Creating a Comprehensive School Reform Model: The Talent Development High School with Career Academies.

    Science.gov (United States)

    Jordan, Will J.; McPartland, James M.; Legters, Nettie E.; Balfanz, Robert

    2000-01-01

    Discusses the need for comprehensive reforms in school organization, curriculum and instruction, and professional development to address the problems of large urban high schools. Describes the Talent Development High School with Career Academies model being developed to meet the needs of such schools. (SLD)

  9. High Pressure Reform: Examining Urban Schools' Response to Multiple School Choice Policies

    Science.gov (United States)

    Holme, Jennifer Jellison; Carkhum, Rian; Rangel, Virginia Snodgrass

    2013-01-01

    Over the past several decades, policymakers have sought to address the problem of school failure by exposing traditional public schools to competitive market forces. In this analysis, we examine how two traditional public schools in a "high pressure/high choice" urban school cluster in Texas responded to a number of overlapping choice…

  10. Case Studies of Leading Edge Small Urban High Schools. Personalization Strategic Designs: 9. MetWest High School

    Science.gov (United States)

    Shields, Regis Anne; Ireland, Nicole; City, Elizabeth; Derderian, Julie; Miles, Karen Hawley

    2008-01-01

    This report is one of nine detailed case studies of small urban high schools that served as the foundation for the Education Resource Strategies (ERS) report "Strategic Designs: Lessons from Leading Edge Small Urban High Schools." These nine schools were dubbed "Leading Edge Schools" because they stand apart from other high…

  11. Case Studies of Leading Edge Small Urban High Schools. Core Academic Strategic Designs: 2. Noble Street Charter High School

    Science.gov (United States)

    Shields, Regis Anne; Ireland, Nicole; City, Elizabeth; Derderian, Julie; Miles, Karen Hawley

    2008-01-01

    This report is one of nine detailed case studies of small urban high schools that served as the foundation for the Education Resource Strategies (ERS) report "Strategic Designs: Lessons from Leading Edge Small Urban High Schools." These nine schools were dubbed "Leading Edge Schools" because they stand apart from other high…

  12. Merits of Undergraduate and High School Research

    Science.gov (United States)

    Kenney, John

    2016-06-01

    When it comes to sports, everyone gets it; you have to play to really understand, experience, and learn what the game is all about. It would be ludicrous to teach basketball by practicing basketball fundamentals in the gym (layups, free throws, jump shots, dribbling, defense), reading about and attending professional basketball games, but never playing in a game. As important as classes and teaching laboratories may be in science education, there is simply no substitute for active engagement in scientific research to show students what science is all about and, perhaps even more importantly, to inspire and motivate them to become scientists or at least appreciate science. It is a widely held misconception that a student cannot really do meaningful, publishable scientific research until he/she is in graduate school. In actual fact, college undergraduates and even high school students can make original and significant scientific research contributions. Astronomical research, in particular, is very well suited to engage the beginning high school or college undergraduate researcher. The night sky’s inherent accessibility and also its inherent grandeur are natural draws for the curious student’s mind. And much can be learned and discovered using small telescopes. In sports, joining a team is a key aspect of the sports experience. Similarly in science, joining a research team and thereby entering a “community of scientific practice” is fundamental and transformational. As important as working with equipment and acquiring data happen to be in scientific research, this is only the beginning of the research process. Student researchers of all ages—particularly high school students and college undergraduates—have much to gain by giving presentations on their research, writing up their results for publication, and going through the peer review process. But this only works if the student researchers are imbedded within the community of practice.

  13. High School Physics Courses & Enrollments: Results from the 2012-13 Nationwide Survey of High School Physics Teachers. Focus On

    Science.gov (United States)

    White, Susan; Tesfaye, Casey Langer

    2014-01-01

    This report examines enrollments in high school physics during the 2012-13 school year. Based on data from the most recent survey (which includes both public and private high schools in the U.S.), it is estimated that 39% of the class of 2013 took high school physics before graduating. During the 2012-13 school year, 1.38 million students were…

  14. HIGH SCHOOL STUDENTS’ VIEWS ON BLENDED LEARNING

    Directory of Open Access Journals (Sweden)

    Ibrahim Umit YAPICI,

    2012-08-01

    Full Text Available In this study, it is aimed to determine the high school students’ views on blended learning. The study was carried out in biology course for the lesson unit of “Classification of Living Things and Biodiversity” with 47 9th grade students attending Nevzat Ayaz Anatolian High School in the second term of the academic year of 2009-2010. The lessons were taught in a way appropriate to the blended learning model both via the Internet and on face-to-face basis. As the online dimension of the blended learning model, Moodle, a Learning Management System (LMS, was used. The application lasted 10 weeks. The scale of learners’ views on blended learning was applied and interviews were held to determine the views. As a result of the analysis of the scale, it was seen that their views were “highly” positive. The interviews held with the students revealed that the blended learning model provided students with various opportunities such as getting prepared for the lessons, reviewing the lessons as many times as wanted, reaching the subject-related materials without being dependent on time and place, testing oneself and communicating with the teacher and other students out of the school. The interviews also revealed that there were various problems though such as lack of Internet connection at home and problems experienced while playing the videos.

  15. Energy Design Guidelines for High Performance Schools: Tropical Island Climates

    Energy Technology Data Exchange (ETDEWEB)

    2004-11-01

    The Energy Design Guidelines for High Performance Schools--Tropical Island Climates provides school boards, administrators, and design staff with guidance to help them make informed decisions about energy and environmental issues important to school systems and communities. These design guidelines outline high performance principles for the new or retrofit design of your K-12 school in tropical island climates. By incorporating energy improvements into their construction or renovation plans, schools can significantly reduce energy consumption and costs.

  16. The Treatment of Wealth Distribution by High School Economics Textbooks

    Science.gov (United States)

    Neumann, Richard

    2014-01-01

    This article presents findings from an investigation of the treatment of wealth distribution by high school economics textbooks. The eight leading high school economics texts in the United States were examined.

  17. Dental Calculus Arrest of Dental Caries.

    Science.gov (United States)

    Keyes, Paul H; Rams, Thomas E

    An inverse relationship between dental calculus mineralization and dental caries demineralization on teeth has been noted in some studies. Dental calculus may even form superficial layers over existing dental caries and arrest their progression, but this phenomenon has been only rarely documented and infrequently considered in the field of Cariology. To further assess the occurrence of dental calculus arrest of dental caries, this study evaluated a large number of extracted human teeth for the presence and location of dental caries, dental calculus, and dental plaque biofilms. A total of 1,200 teeth were preserved in 10% buffered formal saline, and viewed while moist by a single experienced examiner using a research stereomicroscope at 15-25× magnification. Representative teeth were sectioned and photographed, and their dental plaque biofilms subjected to gram-stain examination with light microscopy at 100× magnification. Dental calculus was observed on 1,140 (95%) of the extracted human teeth, and no dental carious lesions were found underlying dental calculus-covered surfaces on 1,139 of these teeth. However, dental calculus arrest of dental caries was found on one (0.54%) of 187 evaluated teeth that presented with unrestored proximal enamel caries. On the distal surface of a maxillary premolar tooth, dental calculus mineralization filled the outer surface cavitation of an incipient dental caries lesion. The dental calculus-covered carious lesion extended only slightly into enamel, and exhibited a brown pigmentation characteristic of inactive or arrested dental caries. In contrast, the tooth's mesial surface, without a superficial layer of dental calculus, had a large carious lesion going through enamel and deep into dentin. These observations further document the potential protective effects of dental calculus mineralization against dental caries.

  18. Dental Calculus Arrest of Dental Caries

    Science.gov (United States)

    Keyes, Paul H.; Rams, Thomas E.

    2016-01-01

    Background An inverse relationship between dental calculus mineralization and dental caries demineralization on teeth has been noted in some studies. Dental calculus may even form superficial layers over existing dental caries and arrest their progression, but this phenomenon has been only rarely documented and infrequently considered in the field of Cariology. To further assess the occurrence of dental calculus arrest of dental caries, this study evaluated a large number of extracted human teeth for the presence and location of dental caries, dental calculus, and dental plaque biofilms. Materials and methods A total of 1,200 teeth were preserved in 10% buffered formal saline, and viewed while moist by a single experienced examiner using a research stereomicroscope at 15-25× magnification. Representative teeth were sectioned and photographed, and their dental plaque biofilms subjected to gram-stain examination with light microscopy at 100× magnification. Results Dental calculus was observed on 1,140 (95%) of the extracted human teeth, and no dental carious lesions were found underlying dental calculus-covered surfaces on 1,139 of these teeth. However, dental calculus arrest of dental caries was found on one (0.54%) of 187 evaluated teeth that presented with unrestored proximal enamel caries. On the distal surface of a maxillary premolar tooth, dental calculus mineralization filled the outer surface cavitation of an incipient dental caries lesion. The dental calculus-covered carious lesion extended only slightly into enamel, and exhibited a brown pigmentation characteristic of inactive or arrested dental caries. In contrast, the tooth's mesial surface, without a superficial layer of dental calculus, had a large carious lesion going through enamel and deep into dentin. Conclusions These observations further document the potential protective effects of dental calculus mineralization against dental caries. PMID:27446993

  19. Success Despite Socioeconomics: A Case Study of a High-Achieving, High-Poverty School

    Science.gov (United States)

    Tilley, Thomas Brent; Smith, Samuel J.; Claxton, Russell L.

    2012-01-01

    This case study of a high-achieving, high-poverty school describes the school's leadership, culture, and programs that contributed to its success. Data were collected from two surveys (the School Culture Survey and the Vanderbilt Assessment of Leadership in Education), observations at the school site, and interviews with school personnel. The…

  20. Blended Learning and Student Engagement in an Urban High School

    Science.gov (United States)

    Johnson, Courtney

    2017-01-01

    A metropolitan school district wanted to understand blended learning as it existed in one of their high schools. Blended learning had been school-wide for four years, and district administrators wanted to know how students, teachers, and school administrators perceived blended learning and its impact on student engagement. This was a…

  1. Humanizing the High School: The Power of Peers.

    Science.gov (United States)

    Stader, David L.; Gagnepain, F. J.

    2000-01-01

    Discusses what high schools can do to improve student relationships, highlighting a St. Louis area school's efforts to develop peer-mentoring and peer-mediation programs. Offers guidelines to help other schools develop a school culture that promotes caring, teaches constructive conflict resolution, and reduces potential for violence. (MLH)

  2. Gay Youth in American Public High Schools: Invisible Diversity.

    Science.gov (United States)

    Reed, Donald B.

    Gay youth enter high school with the knowledge that they are different and with the belief that heterosexuality is normal and that homosexuality is not normal. Also, gay youth enter high school with the belief that honesty and integrity are important personal values. Additionally, the gay youth enter high school without family knowledge of their…

  3. TOCUSO: Test of Conceptual Understanding on High School Optics Topics

    Science.gov (United States)

    Akarsu, Bayram

    2012-01-01

    Physics educators around the world often need reliable diagnostic materials to measure students' understanding of physics concept in high school. The purpose of this study is to evaluate a new diagnostic tool on High School Optics concept. Test of Conceptual Understanding on High School Optics (TOCUSO) consists of 25 conceptual items that measures…

  4. Students' beliefs, attitudes, and conceptual change in a traditional and a constructivistic high school physics classroom

    Science.gov (United States)

    Adams, April Dean

    In this study, the relationships between student beliefs about the nature of science, student attitudes, and conceptual change about the nature of forces were investigated within a traditional and within a constructivistic high school physics classroom. Students in both classrooms were honors students taking a first year high school physics course and were primarily white and middle to upper SES. Students in the traditional classroom were all high ability juniors, and physics instruction was integrated with pre-calculus. Students in the constructivistic classroom were a mixture of juniors and seniors. Due to the interrelated nature of these factors and the complexity of their interactions, a naturalistic inquiry design was chosen. The data sources included videotape of 7-9 weeks of instruction; analysis of the videotapes using the Secondary Teacher Analysis Matrix (Gallagher & Parker, 1995); field notes; pretest/posttest assessment with the Force Concept Inventory (Hestenes, Wells, & Swackhammer, 1992); student responses from the Views on Science-Technology-Society questionnaire (Aikenhead & Ryan, 1992), the Questionnaire for the Assessment of a Science Course (Chiappetta, 1995), and the Constructivist Learning Environment Survey (Taylor, Fraser, & White, 1994); student interviews; and teacher interviews. In the traditional classroom, (a) students did not think that physics was relevant to everyday experiences; (b) high conceptual change students were more likely to have an angular world view (Cobern, 1993) and have views more similar to the teacher's about the nature of science; and (c) high conceptual change students were able to develop an internally consistent understanding of the content; however, that content appeared to be isolated knowledge in some students. In the constructivistic classroom, (a) students saw physics as relevant and useful; (b) there was no difference in world view or agreement with the teacher's views on the nature of science between high

  5. Study on bioactive compounds of in vitro cultured Calculus Suis and natural Calculus Bovis.

    Science.gov (United States)

    Wan, Tien-Chun; Cheng, Fu-Yuan; Liu, Yu-Tse; Lin, Liang-Chuan; Sakata, Ryoichi

    2009-12-01

    The purpose of the study was to investigate bioactive compounds of in vitro cultured Calculus Suis and natural Calculus Bovis obtained as valuable by-products from animals used for meat production. The results showed that the components of natural Calculus Bovis were rich in bilirubin and biliverdin and had higher content of essential amino acids. The major amino acids of in vitro cultured Calculus Suis were identified as glycine, alanine, glutamic acid and aspartic acid, and those for natural Calculus Bovis were found to be glutamic acid, aspartic acid, proline, and arginine. The methionine and cysteine contents of precursors for glutathione in natural Calculus Bovis were significantly higher than those of in vitro cultured Calculus Suis. The mineral contents of zinc, iron and manganese of natural Calculus Bovis were significantly higher than those of in vitro cultured Calculus Suis. The major bile acids in both products were cholic acid and dehydrocholic acid, respectively. The chenodeoxycholic and ursodeoxycholic acid content of in vitro cultured Calculus Suis was significantly higher than that of natural Calculus Bovis.

  6. Complete staghorn calculus in polycystic kidney disease: infection is still the cause.

    Science.gov (United States)

    Mao, Zhiguo; Xu, Jing; Ye, Chaoyang; Chen, Dongping; Mei, Changlin

    2013-08-01

    Kidney stones in patients with autosomal dominant polycystic kidney disease are common, regarded as the consequence of the combination of anatomic abnormality and metabolic risk factors. However, complete staghorn calculus is rare in polycystic kidney disease and predicts a gloomy prognosis of kidney. For general population, recent data showed metabolic factors were the dominant causes for staghorn calculus, but for polycystic kidney disease patients, the cause for staghorn calculus remained elusive. We report a case of complete staghorm calculus in a polycystic kidney disease patient induced by repeatedly urinary tract infections. This 37-year-old autosomal dominant polycystic kidney disease female with positive family history was admitted in this hospital for repeatedly upper urinary tract infection for 3 years. CT scan revealed the existence of a complete staghorn calculus in her right kidney, while there was no kidney stone 3 years before, and the urinary stone component analysis showed the composition of calculus was magnesium ammonium phosphate. UTI is an important complication for polycystic kidney disease and will facilitate the formation of staghorn calculi. As staghorn calculi are associated with kidney fibrosis and high long-term renal deterioration rate, prompt control of urinary tract infection in polycystic kidney disease patient will be beneficial in preventing staghorn calculus formation.

  7. The Availability and Utilization of School Library Resources in Some Selected Secondary Schools (High School) in Rivers State

    Science.gov (United States)

    Owate, C. N.; Iroha, Okpa

    2013-01-01

    This study investigates the availability and utilization of school library resources by Secondary School (High School) Students. Eight Selected Secondary Schools in Rivers State, Nigeria were chosen based on their performance in external examinations and geographic locations. In carrying out the research, questionnaires were administered to both…

  8. School Variables as Mediators of Personal and Family Factors on School Violence in Taiwanese Junior High Schools

    Science.gov (United States)

    Chen, Ji-Kang; Astor, Ron Avi

    2012-01-01

    Using a nationally representative sample of 3,058 junior high school students in Taiwan, this study examines a model of how personal traits, family factors, and school dynamics influence school violence committed by students against students and teachers. This model proposed that school violence is directly influenced by personal traits,…

  9. The physical activity climate in Minnesota middle and high schools.

    Science.gov (United States)

    Samuelson, Anne; Lytle, Leslie; Pasch, Keryn; Farbakhsh, Kian; Moe, Stacey; Sirard, John Ronald

    2010-11-01

    This article describes policies, practices, and facilities that form the physical activity climate in Minneapolis/St. Paul, Minnesota metro area middle and high schools and examines how the physical activity climate varies by school characteristics, including public/private, school location and grade level. Surveys examining school physical activity practices, policies and environment were administered to principals and physical education department heads from 115 middle and high schools participating in the Transdisciplinary Research on Energetics and Cancer-Identifying Determinants of Eating and Activity (TREC-IDEA) study. While some supportive practices were highly prevalent in the schools studied (such as prohibiting substitution of other classes for physical education); other practices were less common (such as providing opportunity for intramural (noncompetitive) sports). Public schools vs. private schools and schools with a larger school enrollment were more likely to have a school climate supportive of physical activity. Although schools reported elements of positive physical activity climates, discrepancies exist by school characteristics. Of note, public schools were more than twice as likely as private schools to have supportive physical activity environments. Establishing more consistent physical activity expectations and funding at the state and national level is necessary to increase regular school physical activity.

  10. Thematization of the Calculus Graphing Schema

    Science.gov (United States)

    Cooley, Laurel; Baker, Bernadette; Trigueros, Maria

    2003-01-01

    This article is the result of an investigation of students' conceptualizations of calculus graphing techniques after they had completed at least two semesters of calculus. The work and responses of 27 students to a series of questions that solicit information about the graphical implications of the first derivative, second derivative, continuity,…

  11. RAMAN-SPECTRA OF HUMAN DENTAL CALCULUS

    NARCIS (Netherlands)

    TSUDA, H; ARENDS, J

    1993-01-01

    Raman spectra of human dental calculus have been observed for the first time by use of micro-Raman spectroscopy. The spectral features of calculus were influenced easily by heating caused by laser irradiation. Therefore, the measurements were carried out at relatively low power (5 mW, 1-mu m spot

  12. Educating about Sustainability while Enhancing Calculus

    Science.gov (United States)

    Pfaff, Thomas J.

    2011-01-01

    We give an overview of why it is important to include sustainability in mathematics classes and provide specific examples of how to do this for a calculus class. We illustrate that when students use "Excel" to fit curves to real data, fundamentally important questions about sustainability become calculus questions about those curves. (Contains 5…

  13. Covariant differential calculus on the quantum hyperplane

    International Nuclear Information System (INIS)

    Wess, J.

    1991-01-01

    We develop a differential calculus on the quantum hyperplane covariant with respect to the action of the quantum group GL q (n). This is a concrete example of noncommutative differential geometry. We describe the general constraints for a noncommutative differential calculus and verify that the example given here satisfies all these constraints. We also discuss briefly the integration over the quantum plane. (orig.)

  14. Hybrid Logical Analyses of the Ambient Calculus

    DEFF Research Database (Denmark)

    Bolander, Thomas; Hansen, Rene Rydhof

    2010-01-01

    In this paper, hybrid logic is used to formulate three control flow analyses for Mobile Ambients, a process calculus designed for modelling mobility. We show that hybrid logic is very well-suited to express the semantic structure of the ambient calculus and how features of hybrid logic can...

  15. A Cross-National Study of Calculus

    Science.gov (United States)

    Chai, Jun; Friedler, Louis M.; Wolff, Edward F.; Li, Jun; Rhea, Karen

    2015-01-01

    The results from a cross-national study comparing calculus performance of students at East China Normal University (ECNU) in Shanghai and students at the University of Michigan before and after their first university calculus course are presented. Overall, ECNU significantly outperformed Michigan on both the pre- and post-tests, but the Michigan…

  16. An Introductory Calculus-Based Mechanics Investigation

    Science.gov (United States)

    Allen, Bradley

    2017-01-01

    One challenge for the introductory physics teacher is incorporating calculus techniques into the laboratory setting. It can be difficult to strike a balance between presenting an experimental task for which calculus is essential and making the mathematics accessible to learners who may be apprehensive about applying it. One-dimensional kinematics…

  17. Multiplicative calculus in biomedical image analysis

    NARCIS (Netherlands)

    Florack, L.M.J.; Assen, van H.C.

    2011-01-01

    We advocate the use of an alternative calculus in biomedical image analysis, known as multiplicative (a.k.a. non-Newtonian) calculus. It provides a natural framework in problems in which positive images or positive definite matrix fields and positivity preserving operators are of interest. Indeed,

  18. Areas and Volumes in Pre-Calculus

    Science.gov (United States)

    Jarrett, Joscelyn A.

    2008-01-01

    This article suggests the introduction of the concepts of areas bounded by plane curves and the volumes of solids of revolution in Pre-calculus. It builds on the basic knowledge that students bring to a pre-calculus class, derives a few more formulas, and gives examples of some problems on plane areas and the volumes of solids of revolution that…

  19. Improving student learning in calculus through applications

    Science.gov (United States)

    Young, C. Y.; Georgiopoulos, M.; Hagen, S. C.; Geiger, C. L.; Dagley-Falls, M. A.; Islas, A. L.; Ramsey, P. J.; Lancey, P. M.; Straney, R. A.; Forde, D. S.; Bradbury, E. E.

    2011-07-01

    Nationally only 40% of the incoming freshmen Science, Technology, Engineering and Mathematics (STEM) majors are successful in earning a STEM degree. The University of Central Florida (UCF) EXCEL programme is a National Science Foundation funded STEM Talent Expansion Programme whose goal is to increase the number of UCF STEM graduates. One of the key requirements for STEM majors is a strong foundation in Calculus. To improve student learning in calculus, the EXCEL programme developed two special courses at the freshman level called Applications of Calculus I (Apps I) and Applications of Calculus II (Apps II). Apps I and II are one-credit classes that are co-requisites for Calculus I and II. These classes are teams taught by science and engineering professors whose goal is to demonstrate to students where the calculus topics they are learning appear in upper level science and engineering classes as well as how faculty use calculus in their STEM research programmes. This article outlines the process used in producing the educational materials for the Apps I and II courses, and it also discusses the assessment results pertaining to this specific EXCEL activity. Pre- and post-tests conducted with experimental and control groups indicate significant improvement in student learning in Calculus II as a direct result of the application courses.

  20. A direct extension of Meller's calculus

    Directory of Open Access Journals (Sweden)

    E. L. Koh

    1982-01-01

    Full Text Available This paper extends the operational calculus of Meller for the operator Bα=t−αddttα+1ddt to the case where α∈(0,∞. The development is àla Mikusinski calculus and uses Meller's convolution process with a fractional derivative operator.

  1. A Snapshot of the Calculus Classroom

    Science.gov (United States)

    Weathers, Tony D.; Latterell, Carmen M.

    2003-01-01

    Essentially a focus group to discuss textbook related issues, a meeting of calculus instructors from a wide variety of environments was convened and sponsored by McGraw Hill to provide feedback on the current state of the calculus classroom. This paper provides a description of the group's discussions.

  2. Programming Language Concepts - The Lambda Calculus Approach

    NARCIS (Netherlands)

    Fokkinga, M.M.; Asveld, P.R.J.; Nijholt, Antinus

    1987-01-01

    The Lambda Calculus is a formal system, originally intended as a tool in the foundation of mathematics, but mainly used to study the concepts of algorithm and effective computability. Recently, the Lambda Calculus and related systems acquire attention from Computer Science for another reason too:

  3. Laparoscopic Cholecystectomy in Chronic Calculus Cholecystitis

    Directory of Open Access Journals (Sweden)

    Prakash Sapkota

    2013-12-01

    Full Text Available Introduction: Laparoscopic cholecystectomy has clearly become the choice over open cholecystectomy in the treatment of hepatobiliary disease since its introduction by Mouret in 1987. This study evaluates a series of patients with chronic calculus cholecystitis who were treated with laparoscopic and open cholecystectomy and assesses the outcomes of both techniques. Objective: To evaluate the efficacy of laparoscopic vs open cholecystectomy in chronic calculus cholecystitis and establish the out-comes of this treatment modality at Lumbini Medical College and Teaching Hospital. Methods: This was a retrospective analysis over a one-year period (January 1, 2012 to December 31, 2012, per-formed by single surgeon at Lumbini Medical College and Teaching Hospital located midwest of Nepal. 166 patients underwent surgical treatment for chronic calculus cholecystitis. Patients included were only chronic calculus cholecystitis proven histopathologocally and the rest were excluded. Data was collected which included patients demographics, medical history, presentation, complications, conversion rates from laparoscopic. cholecystectomy to open cholecystectomy, operative and postoperative time. Results: Patients treated with laparoscopic cholecystectomy for chronic calculus cholecystitis had shorter operating times and length of stay compared to patients treated with open cholecystectomy for chronic calculus cholecystitis. Conversion rates were 3.54% in chronic calculus cholecystitis during the study period. Complications were also lower in patients who underwent laparoscopic cholecystectomy versus open cholecystectomy for cholelithiasis. Conclusions: Laparoscopic cholecystectomy appears to be a reliable, safe, and cost-effective treatment modality for chronic calculus cholecystitis.

  4. A type system for continuation calculus

    NARCIS (Netherlands)

    Geuvers, J.H.; Geraedts, W.; Geron, B.; Stegeren, van J.; Oliva, P.

    2014-01-01

    Continuation Calculus (CC), introduced by Geron and Geuvers, is a simple foundational model for functional computation. It is closely related to lambda calculus and term rewriting, but it has no variable binding and no pattern matching. It is Turing complete and evaluation is deterministic. Notions

  5. European School of High-Energy Physics

    CERN Document Server

    2006-01-01

    The European School of High-Energy Physics is intended to give young experimental physicists an introduction to the theoretical aspects of recent advances in elementary particle physics. These proceedings contain lectures notes on field theory and the Standard Model, quantum chromodynamics, flavour physics and CP violation, experimental aspects of CP violation in K and B decays, relativistic heavy-ion physics, and the scientific programme of the Joint Institute for Nuclear Research. These core scientific topics are complemented by a lecture about the physics of ski jumping.

  6. Facebook and socializing among high school students

    OpenAIRE

    Kordić, Boris; Babić, Lepa

    2011-01-01

    Facebook is currently the most popular friend-networking site in the world. The concept of friends on social networking site does not coincide with the notion of friends in real life. Nevertheless, Facebook is a social network that is based on real friends with the possibility of accepting strangers. In a study on a sample of 150 pupils from High School of Economics, we found that all have a profile on Facebook, the majority spends two hours a day on Facebook and has over a hundred Facebook f...

  7. Technical calculus with analytic geometry

    CERN Document Server

    Gersting, Judith L

    2010-01-01

    This well-thought-out text, filled with many special features, is designed for a two-semester course in calculus for technology students with a background in college algebra and trigonometry. The author has taken special care to make the book appealing to students by providing motivating examples, facilitating an intuitive understanding of the underlying concepts involved, and by providing much opportunity to gain proficiency in techniques and skills.Initial chapters cover functions and graphs, straight lines and conic sections, new coordinate systems, the derivative, using the derivative, in

  8. A course in advanced calculus

    CERN Document Server

    Borden, Robert S

    1997-01-01

    This remarkable undergraduate-level text offers a study in calculus that simultaneously unifies the concepts of integration in Euclidean space while at the same time giving students an overview of other areas intimately related to mathematical analysis. The author achieves this ambitious undertaking by shifting easily from one related subject to another. Thus, discussions of topology, linear algebra, and inequalities yield to examinations of innerproduct spaces, Fourier series, and the secret of Pythagoras. Beginning with a look at sets and structures, the text advances to such topics as lim

  9. Bridging the Vector Calculus Gap

    Science.gov (United States)

    Dray, Tevian; Manogue, Corinne

    2003-05-01

    As with Britain and America, mathematicians and physicists are separated from each other by a common language. In a nutshell, mathematics is about functions, but physics is about things. For the last several years, we have led an NSF-supported effort to "bridge the vector calculus gap" between mathematics and physics. The unifying theme we have discovered is to emphasize geometric reasoning, not (just) algebraic computation. In this talk, we will illustrate the language differences between mathematicians and physicists, and how we are trying reconcile them in the classroom. For further information about the project go to: http://www.physics.orst.edu/bridge

  10. AP calculus AB/BC

    CERN Document Server

    Schwartz, Stu

    2013-01-01

    All Access for the AP® Calculus AB & BC Exams Book + Web + Mobile Everything you need to prepare for the Advanced Placement® exam, in a study system built around you! There are many different ways to prepare for an Advanced Placement® exam. What's best for you depends on how much time you have to study and how comfortable you are with the subject matter. To score your highest, you need a system that can be customized to fit you: your schedule, your learning style, and your current level of knowledge. This book, and the free online tools that come with it, will help you personalize your AP® Cal

  11. Predicting Parental Home and School Involvement in High School African American Adolescents

    Science.gov (United States)

    Hayes, DeMarquis

    2011-01-01

    Predictors of parental home and school involvement for high school adolescents were examined within two groups of urban African American parents from various socioeconomic levels. Home involvement was defined as parent-adolescent communication about school and learning, while school involvement was defined in terms of parent attendance and…

  12. School District Wellness Policy Quality and Weight-Related Outcomes among High School Students in Minnesota

    Science.gov (United States)

    Hoffman, Pamela K.; Davey, Cynthia S.; Larson, Nicole; Grannon, Katherine Y.; Hanson, Carlie; Nanney, Marilyn S.

    2016-01-01

    Weight-related outcomes were examined among high school students in Minnesota public school districts according to the quality of district wellness policies. Wellness policy strength and comprehensiveness were scored using the Wellness School Assessment Tool (WellSAT) for 325 Minnesota public school districts in 2013. The associations between…

  13. The Educational Benefits of Attending Higher Performing Schools: Evidence from Chicago High Schools

    Science.gov (United States)

    Allensworth, Elaine M.; Moore, Paul T.; Sartain, Lauren; de la Torre, Marisa

    2017-01-01

    Policymakers are implementing reforms with the assumption that students do better when attending high-achieving schools. In this article, we use longitudinal data from Chicago Public Schools to test that assumption. We find that the effects of attending a higher performing school depend on the school's performance level. At elite public schools…

  14. Total Quality Management (TQM) Practices and School Climate amongst High, Average and Low Performance Secondary Schools

    Science.gov (United States)

    Ismail, Siti Noor

    2014-01-01

    Purpose: This study attempted to determine whether the dimensions of TQM practices are predictors of school climate. It aimed to identify the level of TQM practices and school climate in three different categories of schools, namely high, average and low performance schools. The study also sought to examine which dimensions of TQM practices…

  15. Bullying Victimization and Student Engagement in Elementary, Middle, and High Schools: Moderating Role of School Climate

    Science.gov (United States)

    Yang, Chunyan; Sharkey, Jill D.; Reed, Lauren A.; Chen, Chun; Dowdy, Erin

    2018-01-01

    Bullying is the most common form of school violence and is associated with a range of negative outcomes, including traumatic responses. This study used hierarchical linear modeling to examine the multilevel moderating effects of school climate and school level (i.e., elementary, middle, and high schools) on the association between bullying…

  16. Effects of Part-Time Work on School Achievement During High School

    Science.gov (United States)

    Singh, Kusum; Chang, Mido; Dika, Sandra

    2007-01-01

    The authors explored the effects of part-time work on school achievement during high school. To estimate the true effects of part-time work on school grades, the authors included family background, students' educational aspirations, and school engagement as controls. Although a substantial literature exists on the relationship of part-time work…

  17. High School Graduation Rates:Alternative Methods and Implications

    OpenAIRE

    Jing Miao; Walt Haney

    2004-01-01

    The No Child Left Behind Act has brought great attention to the high school graduation rate as one of the mandatory accountability measures for public school systems. However, there is no consensus on how to calculate the high school graduation rate given the lack of longitudinal databases that track individual students. This study reviews literature on and practices in reporting high school graduation rates, compares graduation rate estimates yielded from alternative methods, and estimates d...

  18. The Relationships among the Fine Arts, School Culture, and High School Graduation Rates in Georgia

    Science.gov (United States)

    Lovett, Andrew, Jr.

    2014-01-01

    High school graduation is the single largest hurdle that students must achieve to prepare for college and career (National Governor's Association, 2011). Fleischman & Heppen (2009) agree that American high schools must address the problem of declining graduation rate. Approximately 1.28 million students drop out of high school annually (Amos,…

  19. Enriching an effect calculus with linear types

    DEFF Research Database (Denmark)

    Egger, Jeff; Møgelberg, Rasmus Ejlers; Simpson, Alex

    2009-01-01

    We define an ``enriched effect calculus'' by conservatively extending  a type theory for computational effects with primitives from linear logic. By doing so, we obtain a generalisation of linear type theory, intended as a formalism for expressing linear aspects of effects. As a worked example, we...... formulate  linearly-used continuations in the enriched effect calculus. These are captured by a fundamental translation of the enriched effect calculus into itself, which extends existing call-by-value and call-by-name linearly-used CPS translations. We show that our translation is involutive. Full...... completeness results for the various linearly-used CPS translations  follow. Our main results, the conservativity of enriching the effect calculus with linear primitives, and the involution property of the fundamental translation, are proved using a category-theoretic semantics for the enriched effect calculus...

  20. Calculus and analysis in Euclidean space

    CERN Document Server

    Shurman, Jerry

    2016-01-01

    The graceful role of analysis in underpinning calculus is often lost to their separation in the curriculum. This book entwines the two subjects, providing a conceptual approach to multivariable calculus closely supported by the structure and reasoning of analysis. The setting is Euclidean space, with the material on differentiation culminating in the inverse and implicit function theorems, and the material on integration culminating in the general fundamental theorem of integral calculus. More in-depth than most calculus books but less technical than a typical analysis introduction, Calculus and Analysis in Euclidean Space offers a rich blend of content to students outside the traditional mathematics major, while also providing transitional preparation for those who will continue on in the subject. The writing in this book aims to convey the intent of ideas early in discussion. The narrative proceeds through figures, formulas, and text, guiding the reader to do mathematics resourcefully by marshaling the skil...

  1. Successful enrichment and recovery of whole mitochondrial genomes from ancient human dental calculus.

    Science.gov (United States)

    Ozga, Andrew T; Nieves-Colón, Maria A; Honap, Tanvi P; Sankaranarayanan, Krithivasan; Hofman, Courtney A; Milner, George R; Lewis, Cecil M; Stone, Anne C; Warinner, Christina

    2016-06-01

    Archaeological dental calculus is a rich source of host-associated biomolecules. Importantly, however, dental calculus is more accurately described as a calcified microbial biofilm than a host tissue. As such, concerns regarding destructive analysis of human remains may not apply as strongly to dental calculus, opening the possibility of obtaining human health and ancestry information from dental calculus in cases where destructive analysis of conventional skeletal remains is not permitted. Here we investigate the preservation of human mitochondrial DNA (mtDNA) in archaeological dental calculus and its potential for full mitochondrial genome (mitogenome) reconstruction in maternal lineage ancestry analysis. Extracted DNA from six individuals at the 700-year-old Norris Farms #36 cemetery in Illinois was enriched for mtDNA using in-solution capture techniques, followed by Illumina high-throughput sequencing. Full mitogenomes (7-34×) were successfully reconstructed from dental calculus for all six individuals, including three individuals who had previously tested negative for DNA preservation in bone using conventional PCR techniques. Mitochondrial haplogroup assignments were consistent with previously published findings, and additional comparative analysis of paired dental calculus and dentine from two individuals yielded equivalent haplotype results. All dental calculus samples exhibited damage patterns consistent with ancient DNA, and mitochondrial sequences were estimated to be 92-100% endogenous. DNA polymerase choice was found to impact error rates in downstream sequence analysis, but these effects can be mitigated by greater sequencing depth. Dental calculus is a viable alternative source of human DNA that can be used to reconstruct full mitogenomes from archaeological remains. Am J Phys Anthropol 160:220-228, 2016. © 2016 The Authors American Journal of Physical Anthropology Published by Wiley Periodicals, Inc. © 2016 Wiley Periodicals, Inc.

  2. Safety versus Security in the Quality Calculus

    DEFF Research Database (Denmark)

    Nielson, Hanne Riis; Nielson, Flemming

    2013-01-01

    Safety and security are both needed for ensuring that cyber-physical systems live up to expectations, but often an intelligent trade-off is called for, because sometimes it is impossible to obtain optimal safety at the same time as optimal security. In the context of the Quality Calculus we develop...... a type system for checking the extent to which safety and security goals have been met. Safety goals include showing that certain error configurations are in fact not reachable and hence do not require intelligent error handling. Security goals include showing that highly trusted communications can only...... of the implicit flow). This is illustrated on a worked example taken from the automotive sector and we conclude with a discussion of the theoretical properties of the type system....

  3. VEST: Abstract vector calculus simplification in Mathematica

    Science.gov (United States)

    Squire, J.; Burby, J.; Qin, H.

    2014-01-01

    We present a new package, VEST (Vector Einstein Summation Tools), that performs abstract vector calculus computations in Mathematica. Through the use of index notation, VEST is able to reduce three-dimensional scalar and vector expressions of a very general type to a well defined standard form. In addition, utilizing properties of the Levi-Civita symbol, the program can derive types of multi-term vector identities that are not recognized by reduction, subsequently applying these to simplify large expressions. In a companion paper Burby et al. (2013) [12], we employ VEST in the automation of the calculation of high-order Lagrangians for the single particle guiding center system in plasma physics, a computation which illustrates its ability to handle very large expressions. VEST has been designed to be simple and intuitive to use, both for basic checking of work and more involved computations.

  4. Shopping Problems among High School Students

    Science.gov (United States)

    Grant, Jon E.; Potenza, Marc N.; Krishnan-Sarin, Suchitra; Cavallo, Dana A.; Desai, Rani A.

    2010-01-01

    Background Although shopping behavior among adolescents is normal, for some the shopping becomes problematic. An assessment of adolescent shopping behavior along a continuum of severity and its relationship to other behaviors and health issues is incompletely understood. Methods A large sample of high school students (n=3999) was examined using a self-report survey with 153 questions concerning demographic characteristics, shopping behaviors, other health behaviors including substance use, and functioning variables such as grades and violent behavior. Results The overall prevalence of problem shopping was 3.5% (95%CI: 2.93–4.07). Regular smoking, marijuana and other drug use, sadness and hopelessness, and antisocial behaviors (e.g., fighting, carrying weapons) were associated with problem shopping behavior in both boys and girls. Heavy alcohol use was significantly associated with problem shopping only in girls. Conclusion Problem shopping appears fairly common among high school students and is associated with symptoms of depression and a range of potentially addictive and antisocial behaviors. Significant distress and diminished behavioral control suggest that excessive shopping may often have significant associated morbidity. Additional research is needed to develop specific prevention and treatment strategies for adolescents who report problems with shopping. PMID:21497217

  5. Shopping problems among high school students.

    Science.gov (United States)

    Grant, Jon E; Potenza, Marc N; Krishnan-Sarin, Suchitra; Cavallo, Dana A; Desai, Rani A

    2011-01-01

    Although shopping behavior among adolescents is normal, for some, the shopping becomes problematic. An assessment of adolescent shopping behavior along a continuum of severity and its relationship to other behaviors and health issues is incompletely understood. A large sample of high school students (n = 3999) was examined using a self-report survey with 153 questions concerning demographic characteristics, shopping behaviors, other health behaviors including substance use, and functioning variables such as grades and violent behavior. The overall prevalence of problem shopping was 3.5% (95% CI, 2.93-4.07). Regular smoking, marijuana and other drug use, sadness and hopelessness, and antisocial behaviors (e.g., fighting, carrying weapons) were associated with problem shopping behavior in both boys and girls. Heavy alcohol use was significantly associated with problem shopping only in girls. Problem shopping appears fairly common among high school students and is associated with symptoms of depression and a range of potentially addictive and antisocial behaviors. Significant distress and diminished behavioral control suggest that excessive shopping may often have significant associated morbidity. Additional research is needed to develop specific prevention and treatment strategies for adolescents who report problems with shopping. Copyright © 2011 Elsevier Inc. All rights reserved.

  6. The School Absenteeism among High School Students: Contributing Factors

    Science.gov (United States)

    Balkis, Murat; Arslan, Gökmen; Duru, Erdinç

    2016-01-01

    The aim of this study was to examine the direct and indirect relationship between student school absenteeism, personal factors (academic self- perception, attitudes towards teacher and school, goal valuation and motivation/ self-regulation), family factors (parents' educational level and income), and academic achievement in structural equation…

  7. Case Study: North Laurel High School, London, Kentucky.

    Science.gov (United States)

    Southern Regional Education Board, Atlanta, GA.

    When North Laurel High School, London, Kentucky, opened in Fall 1992, students and teachers entered a new facility and a new era of commitment to excellence for all students. In Spring 1993, North Laurel joined the Southern Regional Education Board's High Schools That Work initiative. The new school replaced the general track and raised graduation…

  8. Attitudes of Turkish High School Students toward Mathematics

    Science.gov (United States)

    Yenilmez, Kursat

    2007-01-01

    This study examines high school students' attitudes toward mathematics and analyzes whether there were differences in attitude and its source that could be attributed to gender, class level, type of school, mathematics success, whether the students received preschool education, families' income level, and high school student's place of living.…

  9. A Workshop for High School Students on Naive Set Theory

    Science.gov (United States)

    Wegner, Sven-Ake

    2014-01-01

    In this article we present the prototype of a workshop on naive set theory designed for high school students in or around the seventh year of primary education. Our concept is based on two events which the author organized in 2006 and 2010 for students of elementary school and high school, respectively. The article also includes a practice report…

  10. Examining the Internet Addiction Levels of High School Senior Students

    Science.gov (United States)

    Aydemir, Hasan

    2018-01-01

    In the present study, the internet addiction status of high school senior students in Yesilyurt county of Malatya was analyzed and examined in terms of gender variable. The study population consisted of 3442 senior students who were studying at 37 high schools in state schools in Yesilyurt County of the city of Malatya in 2016-2017 academic year.…

  11. Mental skills of South African male high school rugby players ...

    African Journals Online (AJOL)

    The aim of this study was to establish preliminary South African high school rugby norms for the BMSQ. The sample consisted of 152 male high school rugby players from two schools in the Ethekwini region. Preliminary norms are presented in the form of means and standard deviations. Results are compared with those of ...

  12. Aggressive Students and High School Dropout: An Event History Analysis

    Science.gov (United States)

    Orozco, Steven R.

    2016-01-01

    Aggressive students often struggle in multiple domains of their school functioning and are at increased risk for high school dropout. Research has identified a variety of warning flags which are strong predictors of high school dropout. While it is known that aggressive students exhibit many of these warning flags, there is little research which…

  13. The High School Dropout Problem: Perspectives of Teachers and Principals

    Science.gov (United States)

    Bridgeland, John M.; Dilulio, John J., Jr.; Balfanz, Robert

    2009-01-01

    To better understand the views of teachers and administrators on the high school dropout problem, focus groups and nationally representative surveys were conducted of high school teachers and principals. A focus group of superintendents and school board members was also included. To help interpret the results, the authors convened a colloquium…

  14. "Higher Expectations" in the Catholic Inner City High School.

    Science.gov (United States)

    Harkins, William

    1987-01-01

    Considers the implications of statistics on death and poverty in minority communities for Catholic high schools with large minority populations. Sees hope at the heart of the Catholic high school. Discusses how teachers, school climate, and careful curriculum design can help instill this hope in the students. (DMM)

  15. Sexuality Education in Junior High Schools in Japan

    Science.gov (United States)

    Hashimoto, N.; Shinohara, H.; Tashiro, M.; Suzuki, S.; Hirose, H.; Ikeya, H.; Ushitora, K.; Komiya, A.; Watanabe, M.; Motegi, T.; Morioka, M.

    2012-01-01

    This paper aims to determine via responses to three questionnaire surveys how sexuality education programs are conducted at junior high schools in Japan. Study 1 examined the practice of sexuality education in schools, Study 2 investigated junior high school students' (age 12-13 and 14-15 years) knowledge of sexuality, and Study 3 examined…

  16. The Characteristics of High School Department Chairs: A National Perspective

    Science.gov (United States)

    DeAngelis, Karen J.

    2013-01-01

    Department chairs occupy a potentially important leadership position in high schools, yet little is known about them, particularly with regard to who they are and how they compare to other high school teachers. This is surprising given growing expectations for distributed leadership practice in schools. In this study, I utilize a national dataset…

  17. Toward lattice fractional vector calculus

    International Nuclear Information System (INIS)

    Tarasov, Vasily E

    2014-01-01

    An analog of fractional vector calculus for physical lattice models is suggested. We use an approach based on the models of three-dimensional lattices with long-range inter-particle interactions. The lattice analogs of fractional partial derivatives are represented by kernels of lattice long-range interactions, where the Fourier series transformations of these kernels have a power-law form with respect to wave vector components. In the continuum limit, these lattice partial derivatives give derivatives of non-integer order with respect to coordinates. In the three-dimensional description of the non-local continuum, the fractional differential operators have the form of fractional partial derivatives of the Riesz type. As examples of the applications of the suggested lattice fractional vector calculus, we give lattice models with long-range interactions for the fractional Maxwell equations of non-local continuous media and for the fractional generalization of the Mindlin and Aifantis continuum models of gradient elasticity. (papers)

  18. Middle School Teachers and School Leadership Perceptions of School Culture: An Examination of the Transition from Junior Highs to Middle Schools

    Science.gov (United States)

    Chaney, Maura Chase

    2013-01-01

    The purpose of this case study was to examine the transition from junior high school to a middle school as experienced in two middle schools from a mid-sized urban school district located in the Rocky Mountains. The overarching question that guided data collection for this study centered on the factors that influenced school culture before,…

  19. High School Physics Availability: Results from the 2012-13 Nationwide Survey of High School Physics Teachers. Focus On

    Science.gov (United States)

    White, Susan; Tesfaye, Casey Langer

    2014-01-01

    In this report, the authors share their analysis of the data from over 3,500 high schools in the U.S. beginning with an examination of the availability of physics in U.S. high schools. The schools in their sample are a nationally-representative random sample of the almost 25,000 high schools in forty-nine of the fifty states. Table 1 shows the…

  20. Energy Design Guidelines for High Performance Schools: Tropical Island Climates

    Energy Technology Data Exchange (ETDEWEB)

    None

    2004-11-01

    Design guidelines outline high performance principles for the new or retrofit design of K-12 schools in tropical island climates. By incorporating energy improvements into construction or renovation plans, schools can reduce energy consumption and costs.

  1. prevalence of substance use among rural high school students

    African Journals Online (AJOL)

    Administrator

    School of Public Health, University of the Limpopo. Sovenga, South Africa ... KEY WORDS: substance use, rural high school students, South Africa ... increased into the 1990s, these behaviours ..... Canada's Mental Health Supplement, 68,. 12.

  2. Astronomy Education Project for Guangdong High Schools F. P. Pi ...

    Indian Academy of Sciences (India)

    School of Physics and Electronic Engineering, Guangzhou University, ... an astronomy education project for high school teachers and students was initiated ... ipality, universities and research institutes, professional and amateur astronomical.

  3. Predicting High School Completion Using Student Performance in High School Algebra: A Mixed Methods Research Study

    Science.gov (United States)

    Chiado, Wendy S.

    2012-01-01

    Too many of our nation's youth have failed to complete high school. Determining why so many of our nation's students fail to graduate is a complex, multi-faceted problem and beyond the scope of any one study. The study presented herein utilized a thirteen-step mixed methods model developed by Leech and Onwuegbuzie (2007) to demonstrate within a…

  4. Giant calculus: review and report of a case.

    Science.gov (United States)

    Woodmansey, Karl; Severine, Anthony; Lembariti, Bakari S

    2013-01-01

    Dental calculus is a common oral finding. The term giant calculus is used to describe unusually large deposits of dental calculus. Several extreme cases have been reported in the dental literature. The specific etiology of these cases remains uncertain. This paper reviews previously reported cases, and presents another extreme example of giant calculus.

  5. Geometric calculus: a new computational tool for Riemannian geometry

    International Nuclear Information System (INIS)

    Moussiaux, A.; Tombal, P.

    1988-01-01

    We compare geometric calculus applied to Riemannian geometry with Cartan's exterior calculus method. The correspondence between the two methods is clearly established. The results obtained by a package written in an algebraic language and doing general manipulations on multivectors are compared. We see that the geometric calculus is as powerful as exterior calculus

  6. Constructing the integral concept on the basis of the idea of accumulation: suggestion for a high school curriculum

    Science.gov (United States)

    Kouropatov, Anatoli; Dreyfus, Tommy

    2013-07-01

    Students have a tendency to see integral calculus as a series of procedures with associated algorithms and many do not develop a conceptual grasp giving them the desirable versatility of thought. Thus, instead of a proceptual view of the symbols in integration, they have, at best, a process-oriented view. On the other hand, it is not surprising that many students find concepts such as the integral difficult when they are unable to experience these processes directly in the classroom. With a view towards improving this situation, constructing the integral concept on the basis of the idea of accumulation has been proposed (Educ Stud Math. 1994;26:229-274; Integral as accumulation: a didactical perspective for school mathematics; Thessaloniki: PME; 2009. p. 417-424). In this paper, we discuss a curriculum that is based on this idea and a design for curriculum materials that are intended to develop an improved cognitive base for a flexible proceptual understanding of the integral and integration in high school. The main focus is on how we (mathematics teachers and mathematics educators) might teach the integral concept in order to help high school students to construct meaningful knowledge alongside acquiring technical abilities.

  7. Conceptual problem solving in high school physics

    Science.gov (United States)

    Docktor, Jennifer L.; Strand, Natalie E.; Mestre, José P.; Ross, Brian H.

    2015-12-01

    Problem solving is a critical element of learning physics. However, traditional instruction often emphasizes the quantitative aspects of problem solving such as equations and mathematical procedures rather than qualitative analysis for selecting appropriate concepts and principles. This study describes the development and evaluation of an instructional approach called Conceptual Problem Solving (CPS) which guides students to identify principles, justify their use, and plan their solution in writing before solving a problem. The CPS approach was implemented by high school physics teachers at three schools for major theorems and conservation laws in mechanics and CPS-taught classes were compared to control classes taught using traditional problem solving methods. Information about the teachers' implementation of the approach was gathered from classroom observations and interviews, and the effectiveness of the approach was evaluated from a series of written assessments. Results indicated that teachers found CPS easy to integrate into their curricula, students engaged in classroom discussions and produced problem solutions of a higher quality than before, and students scored higher on conceptual and problem solving measures.

  8. Breakfast Composition in Junior High School Students

    Directory of Open Access Journals (Sweden)

    Sheila Devi

    2015-12-01

    Full Text Available Background: Adolescence is a time of rapid development that requires higher nutrient intake levels than in adulthood. However the habit of skipping breakfast has become very popular among adolescents. Skipping breakfast has negative effects such as difficulty in concentrating, growth impairment and decrease academic performance. Therefore, this study was conducted to identify the breakfast composisition of early adolescents in Jatinangor, Sumedang, Indonesia. Methods: A cross sectional study with non-probability sampling method, was conducted in a junior high school Jatinangor during the month of July 2013. Ninety six participants were included in this study. All the participants underwent an interview about the food intake for breakfast in seven days using eating pattern recall guidelines. Results: Overall, 37% of the respondents skipped breakfast. The mean of total calories among the adolescents who consumed breakfast was 286.06 (187.89 kcal. The amount of carbohydrate, fat and protein consumed was 29.23 (19.93 gram, 13.93 (13.29 gram and 8.78 (6.11 gram accordingly. The main reason for adolescent to skip breakfast was lack of time. Conclusions: Majority of the respondents have their breakfast before they go to school. Overall, the total calories comsumed is sufficient however the amount of protein consumed is low.

  9. Conceptual problem solving in high school physics

    Directory of Open Access Journals (Sweden)

    Jennifer L. Docktor

    2015-09-01

    Full Text Available Problem solving is a critical element of learning physics. However, traditional instruction often emphasizes the quantitative aspects of problem solving such as equations and mathematical procedures rather than qualitative analysis for selecting appropriate concepts and principles. This study describes the development and evaluation of an instructional approach called Conceptual Problem Solving (CPS which guides students to identify principles, justify their use, and plan their solution in writing before solving a problem. The CPS approach was implemented by high school physics teachers at three schools for major theorems and conservation laws in mechanics and CPS-taught classes were compared to control classes taught using traditional problem solving methods. Information about the teachers’ implementation of the approach was gathered from classroom observations and interviews, and the effectiveness of the approach was evaluated from a series of written assessments. Results indicated that teachers found CPS easy to integrate into their curricula, students engaged in classroom discussions and produced problem solutions of a higher quality than before, and students scored higher on conceptual and problem solving measures.

  10. Heads Up to High School Sports

    Science.gov (United States)

    ... submit" value="Submit" /> HEADS UP to School Sports Recommend on Facebook Tweet Share Compartir To help ... organizations, developed the HEADS UP: Concussion in School Sports initiative and materials. Specific Concussion Information for... Coaches ...

  11. Adolescent Views of Time Management: Rethinking the School Day in Junior High School

    Science.gov (United States)

    Strom, Paris S.; Strom, Robert D.; Sindel-Arrington, Tricia

    2016-01-01

    Junior high school presents a significant increase in time demands both for study and for social relationships. The students (N = 240) in grades 7 and 8 at a junior high school anonymously completed online the Time Management Poll concerning their own use of time and the way their school managed time. The 20 items in the poll allowed them to…

  12. A Positive Model for Reducing and Preventing School Burnout in High School Students

    Science.gov (United States)

    Aypay, Ayse

    2017-01-01

    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…

  13. Effects of High School Students' Perceptions of School Life Quality on Their Academic Motivation Levels

    Science.gov (United States)

    Akin Kösterelioglu, Meltem; Kösterelioglu, Ilker

    2015-01-01

    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…

  14. A Study of Democratic School Culture Perceptions of Sport High School Students

    Science.gov (United States)

    Isikgöz, Enes

    2016-01-01

    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…

  15. School-Related Variables in the Dimensions of Anger in High School Students in Turkey

    Science.gov (United States)

    Siyez, Digdem M.

    2018-01-01

    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…

  16. School Reform in a High Poverty Elementary School: A Grounded Theory Case Study of Capacity Building

    Science.gov (United States)

    Dodman, Stephanie Lynn

    2011-01-01

    There is a persistent and significant gap in the achievement of students who attend high-poverty schools and those who attend low-poverty schools. Students in high-poverty schools, the majority of whom are African American and Hispanic, are not achieving the same levels of academic success as their low-poverty or White counterparts. Retention…

  17. School-Based Drug Abuse Prevention Programs in High School Students

    Science.gov (United States)

    Sharma, Manoj; Branscum, Paul

    2013-01-01

    Drug abuse, or substance abuse, is a substantial public health problem in the United States, particularly among high school students. The purpose of this article was to review school-based programs implemented in high schools for substance abuse prevention and to suggest recommendations for future interventions. Included were English language…

  18. Investigating the Link between Home-School Dissonance and Academic Cheating among High School Students

    Science.gov (United States)

    Brown-Wright, Lynda; Tyler, Kenneth M.; Stevens-Watkins, Danelle; Thomas, Deneia; Mulder, Shambra; Hughes, Travonia; Stevens-Morgan, Ruby; Roan-Belle, Clarissa; Gadson, Nadia; Smith, La Toya

    2013-01-01

    The current study examined the association between home-school dissonance and academic cheating among 344 high school juniors and seniors at two urban high schools. Students completed two subscales of the Patterns of Adaptive Learning Scale (PALS) and one subscale of the Academic Motivation Scale (AMS). Analyses revealed that home-school…

  19. Health behaviors of Bydgoszcz high school graduates

    Directory of Open Access Journals (Sweden)

    Alicja Kostencka

    2016-10-01

    Full Text Available Lifestyle affects the physical, mental, social development, health and learning ability. It seems that there are differences in the health behaviors  of young females and males, however these differences are not well described. The aim of the current study was to assess the lifestyle of eighteen-years old and to compare their health behaviors of young persons according to their gender. The study was conducted among 98 students of high schools in Bydgoszcz (35 females and 68 males. All participants were 18 years old. The questionnaire was prepared especially for the purposes of the study, a part of the questions of this questionnaire was taken from the Canada Fitness Survey. The physical activity, mode of nutrition, use of stimulants, hours of sleep, time spent in front of screens and the level of stress were taken into consideration while assessing the teenagers’ lifestyle. The lifestyle of high school graduates is worrisome. It is characterized by low level of physical activity, irregular nutrition, not enough fruits, vegetables and water consumed. A large group of young people drink alcohol, smoke tobacco and marijuana, sleep too short. Males also spend too many hours in front of a television, computer or other similar device. Differences in the health behaviors of  women and men appear to be significant. The prevalence of alcohol abuse in this group is very high and affects both sexes. The sex differences in the health-promoting behaviors among men and women in this group of adolescents seems to diminish. Observed unhealthy behaviors indicates the urgent need for health education, especially those that educate the student about the value of the person, the value of health, and the development of social skills that underlie personal development. The foremost priority is  risk prevention implementation in primary schools. Further research and continuous monitoring of health behaviors in different age groups  is needed as well as  to

  20. An Approach to Energy Education for High School, Junior High School and Elementary School Students at Aichi Institute of Technology

    Science.gov (United States)

    Yukita, Kazuto; Ichiyanagi, Katsuhiro; Mori, Tsuyoshi; Goto, Yasuyuki

    This paper discusses the methods of implementation and improvement adopted in the energy education program of “Marugoto Taiken World” (“Total Experience World”) at Aichi Institute of Technology. The program, which is aimed at high school, junior high school and elementary school students, has been carried on at Aichi Institute of Technology for a number of years now, and the authors have been involved in the energy education project for the past four years. During that time, the following four courses have been held : 1) Let's use wind power to generate electricity, 2) Let's use flowers to build a solar battery, 3) Let's use bottles to build a fuel cell battery, 4) Let's make all sorts of batteries.

  1. Associations of Teen Dating Violence Victimization With School Violence and Bullying Among US High School Students*

    Science.gov (United States)

    Vivolo-Kantor, Alana M.; Olsen, Emily O’malley; Bacon, Sarah

    2016-01-01

    BACKGROUND Teen dating violence (TDV) negatively impacts health, mental and physical well-being, and school performance. METHODS Data from a nationally representative sample of high school students participating in the Centers for Disease Control and Prevention (CDC)’s 2013 Youth Risk Behavior Survey (YRBS) are used to demonstrate associations of physical and sexual TDV with school violence-related experiences and behaviors, including bullying victimization. Bivariate and adjusted sex-stratified regressions assessed relationships between TDV and school violence-related experiences and behaviors. RESULTS Compared to students not reporting TDV, those experiencing both physical and sexual TDV were more likely to report carrying a weapon at school, missing school because they felt unsafe, being threatened or injured with a weapon on school property, having a physical fight at school, and being bullied on school property. CONCLUSIONS School-based prevention efforts should target multiple forms of violence. PMID:27374352

  2. Virtual Learning Simulations in High School

    DEFF Research Database (Denmark)

    Thisgaard, Malene Warming; Makransky, Guido

    2017-01-01

    The present study compared the value of using a virtual learning simulation compared to traditional lessons on the topic of evolution, and investigated if the virtual learning simulation could serve as a catalyst for STEM academic and career development, based on social cognitive career theory....... The investigation was conducted using a crossover repeated measures design based on a sample of 128 high school biology/biotech students. The results showed that the virtual learning simulation increased knowledge of evolution significantly, compared to the traditional lesson. No significant differences between...... the simulation and lesson were found in their ability to increase the non-cognitive measures. Both interventions increased self-efficacy significantly, and none of them had a significant effect on motivation. In addition, the results showed that the simulation increased interest in biology related tasks...

  3. Norwegian High-School Students Internship Programme

    CERN Multimedia

    2017-01-01

    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.

  4. Lifelines for High School Climate Change Education

    Science.gov (United States)

    Gould, A. D.

    2012-12-01

    The Lifelines project aims to establish a network of practicing high school teachers actively using climate change curricula by creating professional learning communities (PLCs) of teachers who, through remote meetings and workshops, maintain ongoing communication and sharing of best practices among colleagues to strengthen knowledge and promote effective teaching strategies. The project explores techniques to achieve the most effective teleconferencing meetings and workshops. This promotes not only teaching about minimizing environmental impacts of human activity, but minimizes environmental impacts of professional development — practicing what we preach. To date, Lifelines PLCs have set up websites and e-mail lists for sharing information. Teleconferences and webinars have been held using services such as Skype, ReadyTalk, and Wiggio. Many of the meetings have been recorded and archived for the benefit of members who could not attend in real-time.

  5. School for Young High Energy Physicists

    CERN Document Server

    Evans, M E

    2003-01-01

    Forty-seven experimental particle physicists attended the 2002 Summer School, held, as usual, at The Cosener's House in Abingdon during September. The weather was glorious allowing a number of tutorials and impromptu seminars to take place in the lovely gardens. The lectures were of a high standard and were delivered and received enthusiastically, providing material for lively discussions in tutorials and elsewhere. The students each gave a ten-minute seminar and the general quality of the talks was impressive and the time keeping excellent. The activities described ranged from front-line physics analysis to preparations for the next generation of machines and detectors, and gave a clear indication of the breadth of particle physics activities in the UK

  6. The Impact of Taking a College Pre-Calculus Course on Students' College Calculus Performance

    Science.gov (United States)

    Sonnert, Gerhard; Sadler, Philip M.

    2014-01-01

    Poor performance on placement exams keeps many US students who pursue a STEM (science, technology, engineering, mathematics) career from enrolling directly in college calculus. Instead, they must take a pre-calculus course that aims to better prepare them for later calculus coursework. In the USA, enrollment in pre-calculus courses in two- and…

  7. Relativistic collapse using Regge calculus: Pt. 1

    International Nuclear Information System (INIS)

    Dubal, M.R.; Leicester Univ.

    1989-01-01

    Regge calculus is used to simulate the dynamical collapse of model stars. In this paper we describe the general methodology of including a perfect fluid in dynamical Regge calculus spacetimes. The Regge-Einstein equations for spherical collapse are obtained and are then specialised to mimic a particular continuum gauge. The equivalent continuum problem is also set up. This is to be solved using standard numerical techniques (i.e. the method of finite difference). A subsequent paper will consider the solution of the equations presented here and will use the continuum problem for comparison purposes in order to check the Regge calculus results. (author)

  8. Area Regge calculus and continuum limit

    International Nuclear Information System (INIS)

    Khatsymovsky, V.M.

    2002-01-01

    Encountered in the literature generalisations of general relativity to independent area variables are considered, the discrete (generalised Regge calculus) and continuum ones. The generalised Regge calculus can be either with purely area variables or, as we suggest, with area tensor-connection variables. Just for the latter, in particular, we prove that in analogy with corresponding statement in ordinary Regge calculus (by Feinberg, Friedberg, Lee and Ren), passing to the (appropriately defined) continuum limit yields the generalised continuum area tensor-connection general relativity

  9. Applications of fractional calculus in physics

    CERN Document Server

    2000-01-01

    Fractional calculus is a collection of relatively little-known mathematical results concerning generalizations of differentiation and integration to noninteger orders. While these results have been accumulated over centuries in various branches of mathematics, they have until recently found little appreciation or application in physics and other mathematically oriented sciences. This situation is beginning to change, and there are now a growing number of research areas in physics which employ fractional calculus.This volume provides an introduction to fractional calculus for physicists, and co

  10. Recursive sequences in first-year calculus

    Science.gov (United States)

    Krainer, Thomas

    2016-02-01

    This article provides ready-to-use supplementary material on recursive sequences for a second-semester calculus class. It equips first-year calculus students with a basic methodical procedure based on which they can conduct a rigorous convergence or divergence analysis of many simple recursive sequences on their own without the need to invoke inductive arguments as is typically required in calculus textbooks. The sequences that are accessible to this kind of analysis are predominantly (eventually) monotonic, but also certain recursive sequences that alternate around their limit point as they converge can be considered.

  11. Pre-calculus workbook for dummies

    CERN Document Server

    Gilman, Michelle Rose; Neal, Karina

    2009-01-01

    Get the confidence and the math skills you need to get started with calculus! Are you preparing for calculus? This easy-to-follow, hands-on workbook helps you master basic pre-calculus concepts and practice the types of problems you'll encounter in your cour sework. You get valuable exercises, problem-solving shortcuts, plenty of workspace, and step-by-step solutions to every problem. You'll also memorize the most frequently used equations, see how to avoid common mistakes, understand tricky trig proofs, and much more. 100s of Problems! Detailed, fully worked-out solutions to problem

  12. AP calculus AB & BC crash course

    CERN Document Server

    Rosebush, J

    2012-01-01

    AP Calculus AB & BC Crash Course - Gets You a Higher Advanced Placement Score in Less Time Crash Course is perfect for the time-crunched student, the last-minute studier, or anyone who wants a refresher on the subject. AP Calculus AB & BC Crash Course gives you: Targeted, Focused Review - Study Only What You Need to Know Crash Course is based on an in-depth analysis of the AP Calculus AB & BC course description outline and actual AP test questions. It covers only the information tested on the exams, so you can make the most of your valuable study time. Written by experienced math teachers, our

  13. Restricted diversity of dental calculus methanogens over five centuries, France

    OpenAIRE

    Hong T. T. Huynh; Vanessa D. Nkamga; Michel Signoli; Stéfan Tzortzis; Romuald Pinguet; Gilles Audoly; Gérard Aboudharam; Michel Drancourt

    2016-01-01

    Methanogens are acknowledged archaeal members of modern dental calculus microbiota and dental pathogen complexes. Their repertoire in ancient dental calculus is poorly known. We therefore investigated archaea in one hundred dental calculus specimens collected from individuals recovered from six archaeological sites in France dated from the 14th to 19th centuries AD. Dental calculus was demonstrated by macroscopic and cone-beam observations. In 56 calculus specimens free of PCR inhibition, PCR...

  14. On Some Syntactic Properties of the Modalized Heyting Calculus

    OpenAIRE

    Muravitsky, Alexei

    2016-01-01

    We show that the modalized Heyting calculus introduced by Leo Esakia admits a normal axiomatization. Then, we prove that the inference rules $\\square\\alpha/\\alpha$ and $\\square\\alpha\\rightarrow\\alpha/\\alpha$ are admissible in this calculus. Finally, we show that this calculus and intuitionistic propositional calculus are assertorically equipollent, which leads to a variant of limited separation property for the modalized Heyting calculus.

  15. Predicting Performance in a First Engineering Calculus Course: Implications for Interventions

    Science.gov (United States)

    Hieb, Jeffrey L.; Lyle, Keith B.; Ralston, Patricia A. S.; Chariker, Julia

    2015-01-01

    At the University of Louisville, a large, urban institution in the south-east United States, undergraduate engineering students take their mathematics courses from the school of engineering. In the fall of their freshman year, engineering students take "Engineering Analysis I," a calculus-based engineering analysis course. After the…

  16. Cause-Effect Analysis: Improvement of a First Year Engineering Students' Calculus Teaching Model

    Science.gov (United States)

    van der Hoff, Quay; Harding, Ansie

    2017-01-01

    This study focuses on the mathematics department at a South African university and in particular on teaching of calculus to first year engineering students. The paper reports on a cause-effect analysis, often used for business improvement. The cause-effect analysis indicates that there are many factors that impact on secondary school teaching of…

  17. Early Error Detection: An Action-Research Experience Teaching Vector Calculus

    Science.gov (United States)

    Añino, María Magdalena; Merino, Gabriela; Miyara, Alberto; Perassi, Marisol; Ravera, Emiliano; Pita, Gustavo; Waigandt, Diana

    2014-01-01

    This paper describes an action-research experience carried out with second year students at the School of Engineering of the National University of Entre Ríos, Argentina. Vector calculus students played an active role in their own learning process. They were required to present weekly reports, in both oral and written forms, on the topics studied,…

  18. History-Infused Lessons in Introductory Calculus at the Secondary Level: Students' Learning and Perceptions

    Science.gov (United States)

    Poh, Wei Beng; Dindyal, Jaguthsing

    2016-01-01

    A history-infused lesson package developed by a team of teachers in a professional learning community was used to teach introductory calculus in a secondary school. First, we report a quasi-experimental design that showed that students in the experimental group performed significantly better than students in the control group. Second, we report on…

  19. The Relevance of Mathematics: Leaders and Teachers as Gatekeeper for Queensland Senior Calculus Mathematics

    Science.gov (United States)

    Easey, Michael; Gleeson, Jim

    2016-01-01

    The aim of the larger study, of which this paper is a part, is to investigate the decline in Year 10 male students' participation in senior calculus mathematics courses at an independent boys' school located in metropolitan Queensland. This paper draws on Sealey and Noyes's (2010) relevance framework to conduct document analysis and interviews…

  20. Results of a Master's degree program for high-school teachers

    Science.gov (United States)

    Cocke, W. J.

    1993-05-01

    Starting in the summer of 1990, the Astronomy Department at the University of Arizona began a 3-year summer program for upgrading the skills of high-school and middle-school science teachers. The program granted Master's degrees in Astronomy to the 33 teachers that completed the program this past summer. The teachers received tuition waivers and stipends to cover living expenses. The funding came mostly from the National Science Foundation, but the University of Arizona cost-shared at the 15% level. About half of the teachers were from Arizona, and the rest came from out-of-state. Although minorities were encouraged to apply, we had few minority applicants, and there were no Afro-Americans and only one Hispanic in the program. The content of the courses was heavily slanted towards mathematics and the physical sciences. The math level went up to vector calculus and linear partial differential equations, and there was a heavy emphasis on physics and astrophysics. Astronomy turned out to be a good umbrella under which to strengthen the teachers' knowledge of the physical sciences. One of the weak points in the program was the pace at which we introduced new material to the teachers. The summer sessions were short and very intense, and the teachers often found themselves with insufficient time to digest the information. This was offset to some degree by the high rate of cooperative learning that the teachers exhibited. The program seems to have been a great success, and the teachers report that their higher level of understanding is very useful to them in the classroom, and the astronomy content provided an excellent source of new demonstrations and projects. We present the results of a final survey, in which we ask the teachers to summarize their thoughts about the program and its effectiveness.