Rodenbusch, Stacia E.; Hernandez, Paul R.; Simmons, Sarah L.; Dolan, Erin L.
2016-01-01
National efforts to transform undergraduate biology education call for research experiences to be an integral component of learning for all students. Course-based undergraduate research experiences, or CUREs, have been championed for engaging students in research at a scale that is not possible through apprenticeships in faculty research laboratories. Yet there are few if any studies that examine the long-term effects of participating in CUREs on desired student outcomes, such as graduating from college and completing a science, technology, engineering, and mathematics (STEM) major. One CURE program, the Freshman Research Initiative (FRI), has engaged thousands of first-year undergraduates over the past decade. Using propensity score–matching to control for student-level differences, we tested the effect of participating in FRI on students’ probability of graduating with a STEM degree, probability of graduating within 6 yr, and grade point average (GPA) at graduation. Students who completed all three semesters of FRI were significantly more likely than their non-FRI peers to earn a STEM degree and graduate within 6 yr. FRI had no significant effect on students’ GPAs at graduation. The effects were similar for diverse students. These results provide the most robust and best-controlled evidence to date to support calls for early involvement of undergraduates in research. PMID:27252296
Rodenbusch, Stacia E; Hernandez, Paul R; Simmons, Sarah L; Dolan, Erin L
2016-01-01
National efforts to transform undergraduate biology education call for research experiences to be an integral component of learning for all students. Course-based undergraduate research experiences, or CUREs, have been championed for engaging students in research at a scale that is not possible through apprenticeships in faculty research laboratories. Yet there are few if any studies that examine the long-term effects of participating in CUREs on desired student outcomes, such as graduating from college and completing a science, technology, engineering, and mathematics (STEM) major. One CURE program, the Freshman Research Initiative (FRI), has engaged thousands of first-year undergraduates over the past decade. Using propensity score-matching to control for student-level differences, we tested the effect of participating in FRI on students' probability of graduating with a STEM degree, probability of graduating within 6 yr, and grade point average (GPA) at graduation. Students who completed all three semesters of FRI were significantly more likely than their non-FRI peers to earn a STEM degree and graduate within 6 yr. FRI had no significant effect on students' GPAs at graduation. The effects were similar for diverse students. These results provide the most robust and best-controlled evidence to date to support calls for early involvement of undergraduates in research. © 2016 S. Rodenbusch et al. CBE—Life Sciences Education © 2016 The American Society for Cell Biology. This article is distributed by The American Society for Cell Biology under license from the author(s). It is available to the public under an Attribution–Noncommercial–Share Alike 3.0 Unported Creative Commons License (http://creativecommons.org/licenses/by-nc-sa/3.0).
Refresher Course in Mathematics
Indian Academy of Sciences (India)
at Department of Mathematics, Berhampur University, Berhampur 760007, Orissa ... Applications are invited. from University/College teachers and Researchers interested in ... Pre-requisites: A basic knowledge of analysis, topology, differential ...
A course of higher mathematics
Smirnov, Vladimir Ivanovich; Lohwater, A J
1964-01-01
A Course of Higher Mathematics, I: Elementary Calculus is a five-volume course of higher mathematics used by mathematicians, physicists, and engineers in the U.S.S.R. This volume deals with calculus and principles of mathematical analysis including topics on functions of single and multiple variables. The functional relationships, theory of limits, and the concept of differentiation, whether as theories and applications, are discussed. This book also examines the applications of differential calculus to geometry. For example, the equations to determine the differential of arc or the parameter
Smith, Marvin E.; Swars, Susan L.; Smith, Stephanie Z.; Hart, Lynn C.; Haardorfer, Regine
2012-01-01
This longitudinal study examines the effects of changes in an elementary teacher preparation program on mathematics beliefs and content knowledge for teaching of two groups of prospective teachers (N = 276): (1) those who completed a program with three mathematics content courses and two mathematics methods courses and (2) those who completed a…
A course of higher mathematics
Smirnov, Vladimir Ivanovich
1964-01-01
A Course of Higher Mathematics, Volume II: Advanced Calculus covers the theory of functions of real variable in advanced calculus. This volume is divided into seven chapters and begins with a full discussion of the solution of ordinary differential equations with many applications to the treatment of physical problems. This topic is followed by an account of the properties of multiple integrals and of line integrals, with a valuable section on the theory of measurable sets and of multiple integrals. The subsequent chapters deal with the mathematics necessary to the examination of problems in
Exploring Differential Effects of Mathematics Courses on Mathematics Achievement
Ma, Xin; McIntyre, Laureen J.
2005-01-01
Using data from the Longitudinal Study of Mathematics Participation (N = 1,518 students from 34 schools), we investigated the effects of pure and applied mathematics courses on mathematics achievement, controlling for prior mathematics achievement. Results of multilevel modelling showed that the effects of pure mathematics were significant after…
A Capstone Mathematics Course for Prospective Secondary Mathematics Teachers
Artzt, Alice F.; Sultan, Alan; Curcio, Frances R.; Gurl, Theresa
2012-01-01
This article describes an innovative capstone mathematics course that links college mathematics with school mathematics and pedagogy. It describes how college juniors in a secondary mathematics teacher preparation program engage in leadership experiences that enable them to learn mathematics for teaching while developing student-centered…
Harwell, Michael; Dupuis, Danielle; Post, Thomas R.; Medhanie, Amanuel; LeBeau, Brandon
2014-01-01
The relationship between high school mathematics curricula and the likelihood of students who enroll in a developmental (non-credit bearing) course in college taking additional mathematics courses was studied. The results showed that high school mathematics curriculum, years of high school mathematics completed, and ACT mathematics scores were…
A course in mathematical analysis
Garling, D J H
The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in the first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. Volume 1 focuses on the analysis of real-valued functions of a real variable. Volume 2 goes on to consider metric and topological spaces. This third volume develops the classical theory of functions of a complex variable. It carefully establishes the properties of the complex plane, including a proof of the Jordan curve theorem. Lebesgue measure is introduced, and is used as a model for other measure spaces, where the theory of integration is developed. The RadonÐNikodym theorem is proved, and the differentiation of measures discussed.
Situated Mathematics Teaching within Electrical Engineering Courses
Hennig, Markus; Mertsching, Bärbel; Hilkenmeier, Frederic
2015-01-01
The initial phase of undergraduate engineering degree programmes often comprises courses requiring mathematical expertise which in some cases clearly exceeds school mathematics, but will be imparted only later in mathematics courses. In this article, an approach addressing this challenge by way of example within a "fundamentals of electrical…
Equations in mathematical physics a practical course
Pikulin, Victor P
2001-01-01
This handbook is addressed to students of technology institutf's where a course on mathematical physics of relatively reduced volume is offered, as well as to engineers and scientists. The aim of the handbook is to treat (demonstrate) the basic methods for solving the simplest problems of classical mathematical physics. The most basic among the methods considered hrre i8 the superposition method. It allows one, based on particular linearly indepmdent HolutionH (solution "atoms"), to obtain the solution of a given problem. To that end the "Hupply" of solution atoms must be complete. This method is a development of the well-known method of particular solutions from the theory of ordinar~' differelltial equations. In contrast to the case of ordinary differential equations, where the number of linearly independent 80lutions is always finite, for a linear partial differrntial equation a complete "supply" of solution atoms is always infinite. This infinite set of Holutions may be discrete (for example, for regular ...
Directory of Open Access Journals (Sweden)
Yu.I. Sinko
2012-03-01
Full Text Available In this article the interconnections of course of mathematical logic with other mathematical courses – geometry, algebra and theory of numbers, mathematical analysis, and also with the courses of mathematics teaching methodology, history of mathematics in the system of preparation of teachers of mathematics in pedagogical Institute of higher education are analyzed. The presence of connections between the elements of the system and their quality is the important description of the pedagogical system.
Science Academies' Refresher Course in Mathematics
Indian Academy of Sciences (India)
IAS Admin
2015-06-14
Jun 14, 2015 ... A two-week Refresher Course in Mathematics will be organized during 1–14 June 2015 at School of Mathematics,. SMVD University, Katra, Jammu & Kashmir in association with School of Innovation and Community Develop- ment, SMVDU. The aim of the Course is to display the beauty of “complex ...
Mathematics Courses for the Prospective Teacher.
Kistler, Barbara C.
This paper suggests that faculty at two-year institutions need to become partners with colleges of education and K-12 teachers of mathematics in preparing future mathematics teachers. The paper presents the following: a summary of recommendations on programs for prospective teachers; a summary of recommendations about mathematics courses for…
Mathematical modeling courses for Media technology students
DEFF Research Database (Denmark)
Timcenko, Olga
2009-01-01
This paper addresses curriculum development for Mathematical Modeling course at Medialogy education. Medialogy as a study line was established in 2002 at Faculty for Engineering and Natural Sciences at Aalborg University, and mathematics curriculum has already been revised three times, Mathematic...
Winkel, Brian
2012-01-01
We give an example of cross coursing in which a subject or approach in one course in undergraduate mathematics is used in a completely different course. This situation crosses falling body modelling in an upper level differential equations course into a modest discrete dynamical systems unit of a first-year mathematics course. (Contains 1 figure.)
A course in mathematical methods for physicists
Herman, Russell L
2014-01-01
Based on the author’s junior-level undergraduate course, this introductory textbook is designed for a course in mathematical physics. Focusing on the physics of oscillations and waves, A Course in Mathematical Methods for Physicists helps students understand the mathematical techniques needed for their future studies in physics. It takes a bottom-up approach that emphasizes physical applications of the mathematics. The book offers: •A quick review of mathematical prerequisites, proceeding to applications of differential equations and linear algebra •Classroom-tested explanations of complex and Fourier analysis for trigonometric and special functions •Coverage of vector analysis and curvilinear coordinates for solving higher dimensional problems •Sections on nonlinear dynamics, variational calculus, numerical solutions of differential equations, and Green's functions
Courses on the Beauty of Mathematics: Our Version of General Education Mathematics Courses
Rash, Agnes M.; Fillebrown, Sandra
2016-01-01
This article describes various courses designed to incorporate mathematical proofs into courses for non-math and non-science majors. These courses, nicknamed "math beauty" courses, are designed to discuss one topic in-depth rather than to introduce many topics at a superficial level. A variety of courses, each requiring students to…
Discrete mathematics course supported by CAS MATHEMATICA
Ivanov, O. A.; Ivanova, V. V.; Saltan, A. A.
2017-08-01
In this paper, we discuss examples of assignments for a course in discrete mathematics for undergraduate students majoring in business informatics. We consider several problems with computer-based solutions and discuss general strategies for using computers in teaching mathematics and its applications. In order to evaluate the effectiveness of our approach, we conducted an anonymous survey. The results of the survey provide evidence that our approach contributes to high outcomes and aligns with the course aims and objectives.
Discrete Mathematics Course Supported by CAS MATHEMATICA
Ivanov, O. A.; Ivanova, V. V.; Saltan, A. A.
2017-01-01
In this paper, we discuss examples of assignments for a course in discrete mathematics for undergraduate students majoring in business informatics. We consider several problems with computer-based solutions and discuss general strategies for using computers in teaching mathematics and its applications. In order to evaluate the effectiveness of our…
Course of Study for Consumer Mathematics.
Montgomery County Public Schools, Rockville, MD.
Eleven units comprise this Consumer Mathematics course for secondary school students: Consumer Decision Making; Personal Transportation; Insurance; Credit; Banking; Investments; Income Taxes; Food, Clothing, Furniture, Appliances; Housing; Budgeting; and Travel. The introduction to the teaching guide for Consumer Mathematics includes a rationale…
A refresher course in mathematics
Camm, F J
2003-01-01
Readers wishing to renew and extend their acquaintance with a variety of branches of mathematics will find this volume a practical companion. Geared toward those who already possess some familiarity with its subjects, the easy-to-follow explanations and straightforward tone make this book highly accessible. The contents are arranged logically and in order of difficulty: fractions, decimals, square and cube root, the metric system, algebra, quadratic and cubic equations, graphs, and the calculus are among the topics. Explanations of mathematical principles are followed by worked examples, and t
A First Course in Applied Mathematics
Rebaza, Jorge
2012-01-01
Explore real-world applications of selected mathematical theory, concepts, and methods Exploring related methods that can be utilized in various fields of practice from science and engineering to business, A First Course in Applied Mathematics details how applied mathematics involves predictions, interpretations, analysis, and mathematical modeling to solve real-world problems. Written at a level that is accessible to readers from a wide range of scientific and engineering fields, the book masterfully blends standard topics with modern areas of application and provides the needed foundation
Colloquial French the complete course for beginners
Demouy, Valérie
2015-01-01
Colloquial French: The Complete Course for Beginners has been carefully developed by an experienced teacher to provide a step-by-step course to French as it is written and spoken today. Combining a clear, practical and accessible style with a methodical and thorough treatment of the language, it equips learners with the essential skills needed to communicate confidently and effectively in French in a broad range of situations. No prior knowledge of the language is required. Colloquial French is exceptional; each unit presents a wealth of grammatical points that are reinforced with a wide range
First course in mathematical logic
Suppes, Patrick
2010-01-01
In modern mathematics, both the theory of proof and the derivation of theorems from axioms bear an unquestioned importance. The necessary skills behind these methods, however, are frequently underdeveloped. This book counters that neglect with a rigorous introduction that is simple enough in presentation and context to permit relatively easy comprehension. It comprises the sentential theory of inference, inference with universal quantifiers, and applications of the theory of inference developed to the elementary theory of commutative groups. Throughout the book, the authors emphasize the perva
Colloquial French the complete course for beginners
Demouy, Valérie
2014-01-01
COLLOQUIAL FRENCH is easy to use and completely up to date!Specially written by experienced teachers for self-study or class use, the course offers a step-by-step approach to written and spoken French. No prior knowledge of the language is required.What makes COLLOQUIAL FRENCH your best choice in personal language learning?Interactive - lots of exercises for regular practiceClear - concise grammar notesPractical - useful vocabulary and pronunciation guideComplete - including answer key and reference sectionWhether you''re a business traveller, or about to take up a daring challenge in adventu
The history of mathematics a brief course
Cooke, Roger L
2012-01-01
Praise for the Second Edition ""An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource . . . essential."" -CHOICE This Third Edition of The History of Mathematics examines the elementary arithmetic, geometry, and algebra of numerous cultures, tracing their usage from Mesopotamia, Egypt, Greece, India, China, and Japan all the way to Europe during the Medieval and Renaissance periods where calculus was developed. Aimed primarily at undergraduate students studying the history of
A short course in discrete mathematics
Bender, Edward A
2004-01-01
What sort of mathematics do I need for computer science? In response to this frequently asked question, a pair of professors at the University of California at San Diego created this text. Its sources are two of the university's most basic courses: Discrete Mathematics, and Mathematics for Algorithm and System Analysis. Intended for use by sophomores in the first of a two-quarter sequence, the text assumes some familiarity with calculus. Topics include Boolean functions and computer arithmetic; logic; number theory and cryptography; sets and functions; equivalence and order; and induction, seq
Tracking Developmental Students into Their First College Level Mathematics Course
Waycaster, Pansy
2011-01-01
A recent SACS review at the author's institution prompted an assessment of the school's developmental mathematics program. The author needed to examine the effectiveness of the developmental mathematics courses in preparing students for their first college level mathematics course. Rather than just examine success rates in developmental…
Mathematics in Literature and Cinema: An Interdisciplinary Course
Chabrán, H. Rafael; Kozek, Mark
2016-01-01
We describe our team-taught, interdisciplinary course "Numb3rs in Lett3rs & Fi1ms: Mathematics in Literature and Cinema," which explores mathematics in the context of modern literature and cinema. Our goal with this course is to advance collaborations between mathematics and the written/theatre-based creative arts.
Colloquial English the complete course for beginners
King, Gareth
2015-01-01
Colloquial English provides a step-by-step course in English as it is written and spoken today. Combining a user-friendly approach with a thorough treatment of the language, it equips learners with the essential skills needed to communicate confidently and effectively in English in a broad range of situations. Key features include:progressive coverage of speaking, listening, reading and writing skillsstructured, jargon-free explanations of grammaran extensive range of focused and stimulating exercisesrealistic and entertaining dialogues covering a broad variety of scenariosuseful explanations
Proofs and fundamentals a first course in abstract mathematics
Bloch, Ethan D
2003-01-01
In an effort to make advanced mathematics accessible to a wide variety of students, and to give even the most mathematically inclined students a solid basis upon which to build their continuing study of mathematics, there has been a tendency in recent years to introduce students to the for mulation and writing of rigorous mathematical proofs, and to teach topics such as sets, functions, relations and countability, in a "transition" course, rather than in traditional courses such as linear algebra. A transition course functions as a bridge between computational courses such as Calculus, and more theoretical courses such as linear algebra and abstract algebra. This text contains core topics that I believe any transition course should cover, as well as some optional material intended to give the instructor some flexibility in designing a course. The presentation is straightforward and focuses on the essentials, without being too elementary, too exces sively pedagogical, and too full to distractions. Some of ...
Teaching Writing and Communication in a Mathematical Modeling Course
Linhart, Jean Marie
2014-01-01
Writing and communication are essential skills for success in the workplace or in graduate school, yet writing and communication are often the last thing that instructors think about incorporating into a mathematics course. A mathematical modeling course provides a natural environment for writing assignments. This article is an analysis of the…
The link between middle school mathematics course placement and achievement.
Domina, Thurston
2014-01-01
The proportion of eighth graders in United States public schools enrolled in algebra or a more advanced mathematics course doubled between 1990 and 2011. This article uses Early Childhood Longitudinal Study's Kindergarten Cohort data to consider the selection process into advanced middle school mathematics courses and estimate the effects of advanced courses on students' mathematics achievement (n = 6,425; mean age at eighth grade = 13.7). Eighth-grade algebra and geometry course placements are academically selective, but considerable between-school variation exists in students' odds of taking these advanced courses. While analyses indicate that advanced middle school mathematics courses boost student achievement, these effects are most pronounced in content areas closely related to class content and may be contingent on student academic readiness. © 2014 The Author. Child Development © 2014 Society for Research in Child Development, Inc.
Introductory life science mathematics and quantitative neuroscience courses.
Duffus, Dwight; Olifer, Andrei
2010-01-01
We describe two sets of courses designed to enhance the mathematical, statistical, and computational training of life science undergraduates at Emory College. The first course is an introductory sequence in differential and integral calculus, modeling with differential equations, probability, and inferential statistics. The second is an upper-division course in computational neuroscience. We provide a description of each course, detailed syllabi, examples of content, and a brief discussion of the main issues encountered in developing and offering the courses.
Mitchell, Rebecca; Laski, Elida
2013-01-01
Instructors (N = 204) of elementary mathematics methods courses completed a survey assessing the extent to which they stay informed about research related to effective uses of educational technology and the kinds and numbers of educational technologies they include in their courses. Findings indicate that, while they view educational technology…
A mathematics course for political and social research
Moore, Will H
2013-01-01
Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now require students to take a ""math camp"" or a semester-long or yearlong course to acquire the necessary skills. Available textbooks are written for mathematics or economics majors, and fail to convey to students of political science and sociology the reasons for learning often-abstract mathematical concepts. A Mathematics Course for Political and Social Research fills this gap, providing both a primer for math novices in the social s
Mathematics++ selected topics beyond the basic courses
Kantor, Ida; Šámal, Robert
2015-01-01
Mathematics++ is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. The areas are: measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology. For each of the areas, the authors introduce basic notions, examples, and results. The presentation is clear and accessible, stressing intuitive understanding, and it includes carefully selected exercises as an integral part. Theory is comp
The history of mathematics a brief course
Cooke, Roger
2005-01-01
This new edition brings the fascinating and intriguing history of mathematics to life. The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society. In the first edition, each chapter was devoted to a single cultu
Burn, H. E.; Wenner, J. M.; Baer, E. M.
2011-12-01
, students completed a pretest, the assigned modules, and a posttest. Success in remediation was measured using normalized gain scores, which measures the change in score divided by the maximum possible increase: (posttest-pretest)/(1-pretest). To compare across courses, normalized gain scores were standardized. Additional analysis included disaggregating normalized gain scores by quartiles based on pretest scores. The results were supplemented by qualitative data from faculty interviews and information provided by faculty on a web form upon completion of the course. Results suggest TMYN modules remediate mathematical skills effectively, and that normalized gains tend to be higher for students in the lower quartiles on the pretest. Students indicate finding the modules helpful, though sometimes difficult. Faculty interview data triangulate these findings and provide further evidence that online, modularized remediation is an effective alternative to assigning prerequisite mathematical courses to remediate mathematical skills.
Koestler, Courtney
2010-01-01
In this dissertation, I present my attempts at designing an elementary mathematics methods course to support prospective teachers in developing an understanding of how to teach all students in learning powerful mathematics. To do this, I introduced them to teaching mathematics for equity and social justice by discussing ways to support students'…
Math 3310--Technical Mathematics I. Course Outline.
New York Inst. of Tech., Old Westbury.
This document contains the course syllabus and 12 independent practice modules for a college pre-calculus designed as the first course in a two-semester sequence for students in a Bachelor of Technology program. The course emphasizes engineering technology applications and verbal problems. Topics include a review of elementary algebra; factoring…
Math 3007--Developmental Mathematics I. Course Outline.
New York Inst. of Tech., Old Westbury.
This document contains the course syllabus and 12 independent practice modules for an introductory college algebra course designed to develop student proficiency in the basic algebraic skills. This course is designed as the first of a two-semester sequence. Topics include operations with signed numbers; simple operations on monomials and…
Directory of Open Access Journals (Sweden)
Buket Turhan Turkkan
2018-04-01
Full Text Available The purpose of this study is to examine the opinions of middle school mathematics teachers on the integration of mathematics course and social issues. For this purpose, qualitative research method was used in this study. As for determining the participants of the research, criterion sampling among purposeful sampling methods was used. Being a middle school mathematics teacher as an occupation was considered as a criterion for determining the participants. The participants of the research consist of 13 middle school mathematics teachers in Turkey. So as to collect the research data, the semi-structured interview form created by the researchers was used. The data analysis was performed according to the content analysis, and Nvivo 10 program was used for the analysis. As a result of this study, the themes of the situation and methods of the integration of mathematics course and social issues, the attainment of democratic values in mathematics course and the ways of its attainment, gaining awareness of social justice and equality in mathematics course and the ways of its gaining, the activities performed by teachers for social issues in mathematics course and the teachers’ suggestions for the integration of mathematics course and social issues were reached and the results were discussed within this frame.
Undergraduate Mathematics Students' Emotional Experiences in Linear Algebra Courses
Martínez-Sierra, Gustavo; García-González, María del Socorro
2016-01-01
Little is known about students' emotions in the field of Mathematics Education that go beyond students' emotions in problem solving. To start filling this gap this qualitative research has the aim to identify emotional experiences of undergraduate mathematics students in Linear Algebra courses. In order to obtain data, retrospective focus group…
Influences of Technology Integrated Professional Development Course on Mathematics Teachers
Kul, Umit
2018-01-01
The aim of this study was to explore the degree to which a professional development (PD) program designed using GeoGebra influences a group of Turkish middle school teachers' beliefs in relation to mathematics and role of GeoGebra in mathematics education. In order to collect the required data, the PD course was established to provide six teachers…
The Moodle platform in atypical mathematics university courses
Directory of Open Access Journals (Sweden)
Luciana Zuccheri
2011-12-01
Full Text Available Report on experiences using the Moodle e-learning platform for university courses in mathematics history, mathematics education and teacher education. The objective was to stimulate students’ interest, develop their capacity to analyse topics in-depth, and foster their cooperation.
Integrating interactive multimedia into mathematics course modules ...
African Journals Online (AJOL)
kofi.mereku
African Journal of Educational Studies in Mathematics and Sciences Vol. 12, 2016. 35 ... diploma in basic education at one of 23 study centers of the University of Education, Winneba participated. ..... State College, PA: Learning. Services.
A practical course in differential equations and mathematical modeling
Ibragimov , Nail H
2009-01-01
A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author's own theoretical developments. The book which aims to present new mathematical curricula based on symmetry and invariance principles is tailored to develop analytic skills and working knowledge in both classical and Lie's methods for solving linear and nonlinear equations. This approach helps to make courses in differential equations, mathematical modelling, distributions and fundame
Math 3008--Developmental Mathematics II. Course Outline.
New York Inst. of Tech., Old Westbury.
This document contains the course syllabus and 12 independent practice modules for an introductory college algebra course designed to develop student proficiency in the basic algebraic skills. This is designed as the second of a two-semester sequence. Topics include performing operations with radicals and exponents; learning to solve equations;…
Introductory Life Science Mathematics and Quantitative Neuroscience Courses
Duffus, Dwight; Olifer, Andrei
2010-01-01
We describe two sets of courses designed to enhance the mathematical, statistical, and computational training of life science undergraduates at Emory College. The first course is an introductory sequence in differential and integral calculus, modeling with differential equations, probability, and inferential statistics. The second is an…
Hegener, Michael A; Buring, Shauna M; Papas, Elizabeth
2013-08-12
To assess doctor of pharmacy (PharmD) students' mathematics ability by content area before and after completing a required pharmaceutical calculations course and to analyze changes in scores. A mathematics skills assessment was administered to 2 cohorts of pharmacy students (class of 2013 and 2014) before and after completing a pharmaceutical calculations course. The posttest was administered to the second cohort 6 months after completing the course to assess knowledge retention. Both cohorts performed significantly better on the posttest (cohort 1, 13% higher scores; cohort 2, 15.9% higher scores). Significant improvement on posttest scores was observed in 6 of the 10 content areas for cohorts 1 and 2. Both cohorts scored lower in percentage calculations on the posttest than on the pretest. A required, 1-credit-hour pharmaceutical calculations course improved PharmD students' overall ability to perform fundamental and application-based calculations.
A first course in mathematical physics
Whelan, Colm T
2016-01-01
The book assumes next to no prior knowledge of the topic. The first part introduces the core mathematics, always in conjunction with the physical context. In the second part of the book, a series of examples showcases some of the more conceptually advanced areas of physics, the presentation of which draws on the developments in the first part. A large number of problems helps students to hone their skills in using the presented mathematical methods. Solutions to the problems are available to instructors on an associated password-protected website for lecturers.
An introduction to mathematical modeling a course in mechanics
Oden, Tinsley J
2011-01-01
A modern approach to mathematical modeling, featuring unique applications from the field of mechanics An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mathematical models that form the foundations of modern science and incorporates examples that illustrate how the most successful models arise from basic principles in modern and classical mathematical physics. Written by a world authority on mathematical theory and computational mechanics, the book presents an account of continuum mechanics, electromagnetic field theory, quantum mechanics, and statistical mechanics for readers with varied backgrounds in engineering, computer science, mathematics, and physics. The author streamlines a comprehensive understanding of the topic in three clearly organized sections: Nonlinear Continuum Mechanics introduces kinematics as well as force and stress in deformable bodies; mass and momentum; balance of linear and angular momentum; conservation of energy; and constitutive equation...
Equations in mathematical physics a practical course
Pikulin, Victor P
2001-01-01
Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations. The aim of the present book is to demonstrate the basic methods for solving the classical linear problems in mathematical physics of elliptic, parabolic and hyperbolic type. In particular, the methods of conformal mappings, Fourier analysis and Green`s functions are considered, as well as the perturbation method and integral transformation method, among others. Every chapter contains concrete examples with a detailed analysis of their solution. The book is intended as a textbook for students in mathematical physics, but will also serve as a handbook for scientists and engineers. ------------ [A] manual for future engineers must strongly differ from the textbook for pure mathematicians, and the book by Pikulin and Pohozaev is the good example. (…) The purpose (…) is to offer quick access to the principal facts (…) This well written book is a...
Zeytun, Aysel Sen; Cetinkaya, Bulent; Erbas, Ayhan Kursat
2017-01-01
This paper investigates how prospective teachers develop mathematical models while they engage in modeling tasks. The study was conducted in an undergraduate elective course aiming to improve prospective teachers' mathematical modeling abilities, while enhancing their pedagogical knowledge for the integrating of modeling tasks into their future…
Kaleli-Yilmaz, Gül
2015-01-01
The aim of this study was to determine the views of mathematics teachers on the factors that affect the integration of technology in mathematic courses. It is a qualitative case study. The sample size of the study is 10 teachers who are receiving postgraduate education in a university in Turkey. The current study was conducted in three stages. At…
Paterson, Judy; Sneddon, Jamie
2011-01-01
This article reports on the learning conversations between a mathematician and a mathematics educator as they worked together to change the delivery model of a third year discrete mathematics course from a traditional lecture mode to team-based learning (TBL). This change prompted the mathematician to create team tasks which increasingly focused…
Turhan Turkkan, Buket; Karakus, Memet
2018-01-01
The purpose of this study is to examine the opinions of middle school mathematics teachers on the integration of mathematics course and social issues. For this purpose, qualitative research method was used in this study. As for determining the participants of the research, criterion sampling among purposeful sampling methods was used. Being a…
MODERN OR TRADITIONAL TEACHING STRATEGY IN LEARNING ENGINEERING MATHEMATICS COURSE
Directory of Open Access Journals (Sweden)
N. RAZALI
2016-11-01
Full Text Available First-year engineering students of the Faculty of Engineering and Built Environment, UKM are in the process of transition in the way they learn mathematics from pre-university level to the undergraduate level. It is essential for good engineers to have the ability to unfold mathematical problems in an efficient way. Thus, this research is done to investigate students preference in learning KKKQ1123 Engineering Mathematics I (Vector Calculus (VC course; either individually or in a team; using modern (e-learning or traditional (cooperative-learning teaching strategy. Questionnaires are given to the first year Chemical and Process Engineering students from academic year 2015/2016 and the results were analysed. Based on the finding, the students believed that the physical educators or teachers play an important role and that they have slightest preference in the traditional teaching strategy to learn engineering mathematics course.
A course in mathematical statistics and large sample theory
Bhattacharya, Rabi; Patrangenaru, Victor
2016-01-01
This graduate-level textbook is primarily aimed at graduate students of statistics, mathematics, science, and engineering who have had an undergraduate course in statistics, an upper division course in analysis, and some acquaintance with measure theoretic probability. It provides a rigorous presentation of the core of mathematical statistics. Part I of this book constitutes a one-semester course on basic parametric mathematical statistics. Part II deals with the large sample theory of statistics — parametric and nonparametric, and its contents may be covered in one semester as well. Part III provides brief accounts of a number of topics of current interest for practitioners and other disciplines whose work involves statistical methods. Large Sample theory with many worked examples, numerical calculations, and simulations to illustrate theory Appendices provide ready access to a number of standard results, with many proofs Solutions given to a number of selected exercises from Part I Part II exercises with ...
A course of mathematics for engineerings and scientists
Chirgwin, Brian H
1984-01-01
A Course of Mathematics for Engineers and Scientists, Volume 2 continues the course of pure and applied mathematics for undergraduate science and engineering students. It contains further examples and exercises from examination papers from Oxford University, Cambridge University, and the University of London. The topics covered in this book include differential equations, linear equations, matrices and determinants, vector algebra and coordinate geometry, and differentiation and integration of functions of two or more variables. This book is intended as a reference for students taking science
Saran, Rupam; Gujarati, Joan
2013-01-01
This article explores how preservice elementary teachers change their negative beliefs toward mathematics into positive ones after taking a mathematics methods course that follows the Concrete-Pictorial-Abstract (CPA) instructional method. Also explored is the relationship between those beliefs and sociomathematical authority. By administering…
Can Completing a Mental Health Nursing Course Change Students' Attitudes?
Hastings, Todd; Kroposki, Margaret; Williams, Gail
2017-05-01
Nursing program graduates rarely choose mental health nursing as a career. A quasi-experimental study was conducted to examine attitudes of 310 nursing students towards persons with mental illness. Students completed surveys on the first and last days of their program's psychiatric mental health nursing course. The pre- and post-test survey analysis indicated that students improved their attitude, knowledge and preparedness to care for persons with mental illness. However, students maintained little interest in working as a mental health nurse. Modifications in mental health nursing courses could be made to improve students' interest in choosing a career in mental health nursing.
A Study of Course Design Factors that Influence E-Learning Course Completion Rates
National Research Council Canada - National Science Library
Mathews, Edward
2004-01-01
.... Although there is significant variation among institutions - with some reporting course-completion rates of more than 80 percent and others finding that fewer than 50 percent of distance-education...
Using Financial Calculators in a Business Mathematics Course.
Heller, William H.; Taylor, Monty B.
2000-01-01
Discusses the authors' experiences with integrating financial calculators into a business mathematics course. Presents a brief overview of the operation of financial calculators, reviews some of the more common models, discusses how to use the equation solver utility on other calculators to emulate a financial calculator, and explores the…
Mentoring At-Risk Students in a Remedial Mathematics Course
Khazanov, Leonid
2011-01-01
A peer mentoring program has been implemented to support a group of at-risk students enrolled in two sections of an elementary algebra course at an urban community college. Peer mentors were recruited from advanced mathematics classes and trained to provide individualized tutoring and mentoring support to at-risk students. The results show that…
Great Problems of Mathematics: A Course Based on Original Sources.
Laubenbacher, Reinhard C.; Pengelley, David J.
1992-01-01
Describes the history of five selected problems from mathematics that are included in an undergraduate honors course designed to utilize original sources for demonstrating the evolution of ideas developed in solving these problems: area and the definite integral, the beginnings of set theory, solutions of algebraic equations, Fermat's last…
Directory of Open Access Journals (Sweden)
Kim-Leong Lai
2009-07-01
Full Text Available This study assessed the effectiveness of an online mathematical problem solving course designed using a social constructivist approach for pre-service teachers. Thirty-seven pre-service teachers at the Batu Lintang Teacher Institute, Sarawak, Malaysia were randomly selected to participate in the study. The participants were required to complete the course online without the typical face-to-face classes and they were also required to solve authentic mathematical problems in small groups of 4-5 participants based on the Polya’s Problem Solving Model via asynchronous online discussions. Quantitative and qualitative methods such as questionnaires and interviews were used to evaluate the effects of the online learning course. Findings showed that a majority of the participants were satisfied with their learning experiences in the course. There were no significant changes in the participants’ attitudes toward mathematics, while the participants’ skills in problem solving for “understand the problem” and “devise a plan” steps based on the Polya Model were significantly enhanced, though no improvement was apparent for “carry out the plan” and “review”. The results also showed that there were significant improvements in the participants’ critical thinking skills. Furthermore, participants with higher initial computer skills were also found to show higher performance in mathematical problem solving as compared to those with lower computer skills. However, there were no significant differences in the participants’ achievements in the course based on gender. Generally, the online social constructivist mathematical problem solving course is beneficial to the participants and ought to be given the attention it deserves as an alternative to traditional classes. Nonetheless, careful considerations need to be made in the designing and implementing of online courses to minimize problems that participants might encounter while
Tulip, David F.; Lucas, Keith B.
1991-12-01
At a time when recruitment into preservice teacher education courses in mathematics and science is difficult, one strategy to increase the number of graduates is to minimise the number of students who fail to complete their university courses. This study sought to determine factors which distinguish withdrawers from persisters in the first semester of a B.Ed course. Discriminant analysis was employed; a discriminant function employing seven factors resulted in correct classification in 81% of cases. Further analysis distinguishing between dropouts and transferees resulted in two discriminant functions with some common variables.
Course of mathematics for engineers and scientists v.1
Chirgwin, Brian H
1961-01-01
A Course of Mathematics for Engineers and Scientists, Volume 1 studies the various concepts in pure and applied mathematics, specifically the technique and applications of differentiation and integration of one variable, geometry of two dimensions, and complex numbers. The book is divided into seven chapters, wherein the first of which presents the introductory concepts, such as the functional notation and fundamental definitions; the roots of equations; and limits and continuity. The text then tackles the techniques and applications of differentiation and integration. Geometry of two dimensio
Course of mathematics for engineerings and scientists v.5
Chirgwin, Brian H
2013-01-01
A Course of Mathematics for Engineers and Scientists, Volume 5 presents the solutions of differential equations by obtaining the results in different forms. This book discusses the significant branch of mathematics generalizing the elementary ideas of function, integration, and differentiation. Organized into four chapters, this volume begins with an overview of the use of Fourier series that leads to solutions consisting of infinite series. This text then discusses the fundamental advantage of Laplace and Fourier transformation. Other chapters consider the technique of obtaining the solutions
Glazier, Stephen Gene
2011-01-01
Purpose, Scope, and Method of Study. The population of interest in the study consisted of white and Hispanic high school graduates in the United States who attended college and completed a college developmental mathematics course. Data from the National Educational Longitudinal Study of 1988 were employed, and a longitudinal, quasi-experimental…
Eighth Grade Algebra Course Placement and Student Motivation for Mathematics
Simzar, Rahila M.; Domina, Thurston; Tran, Cathy
2016-01-01
This study uses student panel data to examine the association between Algebra placement and student motivation for mathematics. Changes in achievement goals, expectancy, and task value for students in eighth grade Algebra are compared with those of peers placed in lower-level mathematics courses (N = 3,306). In our sample, students placed in Algebra reported an increase in performance-avoidance goals as well as decreases in academic self-efficacy and task value. These relations were attenuated for students who had high mathematics achievement prior to Algebra placement. Whereas all students reported an overall decline in performance-approach goals over the course of eighth grade, previously high-achieving students reported an increase in these goals. Lastly, previously high-achieving students reported an increase in mastery goals. These findings suggest that while previously high-achieving students may benefit motivationally from eighth grade Algebra placement, placing previously average- and low-performing students in Algebra can potentially undermine their motivation for mathematics. PMID:26942210
Eighth Grade Algebra Course Placement and Student Motivation for Mathematics.
Simzar, Rahila M; Domina, Thurston; Tran, Cathy
2016-01-01
This study uses student panel data to examine the association between Algebra placement and student motivation for mathematics. Changes in achievement goals, expectancy, and task value for students in eighth grade Algebra are compared with those of peers placed in lower-level mathematics courses (N = 3,306). In our sample, students placed in Algebra reported an increase in performance-avoidance goals as well as decreases in academic self-efficacy and task value. These relations were attenuated for students who had high mathematics achievement prior to Algebra placement. Whereas all students reported an overall decline in performance-approach goals over the course of eighth grade, previously high-achieving students reported an increase in these goals. Lastly, previously high-achieving students reported an increase in mastery goals. These findings suggest that while previously high-achieving students may benefit motivationally from eighth grade Algebra placement, placing previously average- and low-performing students in Algebra can potentially undermine their motivation for mathematics.
What Math Matters? Types of Mathematics Knowledge and Relationships to Methods Course Performance
Kajander, Ann; Holm, Jennifer
2016-01-01
This study investigated the effect of a departmental focus on enhanced mathematics knowledge for teaching on overall performance in upper elementary mathematics methods courses. The study examined the effect of performance on a new course in mathematics for teaching on performance at the methods course level. In addition, the effect of performance…
Directory of Open Access Journals (Sweden)
Lorena Salazar Solórzano
2015-06-01
Full Text Available Beginning university training programs must focus on different competencies for mathematics teachers, i.e., not only on solving problems, but also on posing them and analyzing the mathematical activity. This paper reports the results of an exploratory study conducted with future secondary school mathematics teachers on the introduction of problem-posing tasks in formal mathematics courses, specifically in abstract algebra and real analysis courses. Evidence was found that training which includes problem-posing tasks has a positive impact on the students’ understanding of definitions, theorems and exercises within formal mathematics, as well as on their competency in reflecting on the mathematical activity.
Bishop, Amy Renee
2010-01-01
The purpose of this research was to determine the effect of computer-based instruction on student mathematics achievement and students' attitudes toward mathematics in developmental and introductory mathematics courses, namely Elementary Algebra, Intermediate Algebra, and College Algebra, at a community college. The researcher also examined the…
MATHEMATICS COURSES AND NEW EMERGING DESIGN TOOL AN OVERVIEW OF ARCHITECTURAL EDUCATION IN INDONESIA
Directory of Open Access Journals (Sweden)
Aswin Indraprastha
2008-01-01
Full Text Available Since the beginning, mathematics courses are inherent within architecture education. In Indonesia, the legacy from Dutch education system has influenced most of the architectural schools and this courses stand as one of basic engineering courses for architecture education system. This situation has been remaining well adopted until recently, some of architectural schools are tailoring mathematics to shape with contemporary challenges particularly regards to the digital tools. This paper aims to present brief information about mathematics courses in architectural schools in Indonesia, the importance of mathematics in learning digital design tools and propose thoughts to upgrade mathematics content in architectural education towards new emerging design tools.
Learning to Teach Mathematics Specialists in a Synchronous Online Course: A Self-Study
Hjalmarson, Margret A.
2017-01-01
This article uses a self-study research methodology to explore teaching an online course for mathematics specialists. The course included weekly videoconferencing sessions and focused on supporting their development as mathematics coaches working with K-8 teachers to enhance mathematics teaching and learning. The central question for the…
Infusing Mathematics Content into a Methods Course: Impacting Content Knowledge for Teaching
Burton, Megan; Daane, C. J.; Giesen, Judy
2008-01-01
This study compared content knowledge for teaching mathematics differences between elementary pre-service teachers in a traditional versus an experimental mathematics methods course. The experimental course replaced 20 minutes of traditional methods, each class, with an intervention of elementary mathematics content. The difference between groups…
A Student-Led Feedback Protocol on Writing Assignments in a History of Mathematics Course
White, Diana
2014-01-01
History of math courses are commonly offered in mathematics departments. Such courses naturally lend themselves to writing assignments, and a growing body of research supports writing as a means to learn mathematics. This article details two such assignments, providing an overview of the course in which they are situated, and a student-led…
Two Project-Based Strategies in an Interdisciplinary Mathematical Modeling in Biology Course
Ludwig, Patrice; Tongen, Anthony; Walton, Brian
2018-01-01
James Madison University faculty team-teach an interdisciplinary mathematical modeling course for mathematics and biology students. We have used two different project-based approaches to emphasize the mathematical concepts taught in class, while also exposing students to new areas of mathematics not formally covered in class. The first method…
Elective Drama Course in Mathematics Education: An Assessment of Pre-Service Teachers
Sagirli, Meryem Özturan
2014-01-01
This study aimed to evaluate a newly introduced elective course "Drama in Mathematics Education" into mathematics education curriculum from the viewpoints of pre-service mathematics teachers. A case study was employed in the study. The study group consisted of 37 pre-service mathematics teachers who were enrolled in a Turkish state…
Perez-Felkner, Lara; Nix, Samantha; Thomas, Kirby
2017-01-01
Do mathematics ability beliefs explain gender gaps in the physical science, engineering, mathematics, and computer science fields (PEMC) and other science fields? We leverage U.S. nationally representative longitudinal data to estimate gendered differences in girls' and boys' perceptions of mathematics ability with the most difficult or challenging material. Our analyses examine the potentially interacting effects of gender and these ability beliefs on students' pathways to scientific careers. Specifically, we study how beliefs about ability with challenging mathematics influence girls' and boys' choices to pursue PEMC degrees, evaluating educational milestones over a 6-year period: advanced science course completion in secondary school and postsecondary major retention and selection. Our findings indicate even at the same levels of observed ability, girls' mathematics ability beliefs under challenge are markedly lower than those of boys. These beliefs matter over time, potentially tripling girls' chances of majoring in PEMC sciences, over and above biological science fields, all else being equal. Implications and potential interventions are discussed. PMID:28428762
Influence of Motivational Design on Completion Rates in Online Self-Study Pharmacy-Content Courses
Pittenger, Amy; Doering, Aaron
2010-01-01
Student retention rates are a constant concern in higher education, but this concern has become especially challenging as online courses become more common and there are widespread reports of low completion rates for online, self-study courses. We evaluated four self-study online pharmacy courses with a history of very high completion rates for…
A critical evaluation of mathematics courses in architectural education and practice
Çıkış, Şeniz
2010-01-01
Mathematics courses are integral part of architectural education. The content and objectives of these courses were determined in the Age of Enlightenment. Although conditions have changed since then, they still exist without being subjected to a radical revision. This study aims to introduce the necessary information for upgrading the content of mathematics courses to contemporary conditions. On these grounds, the historical conditions when these courses were first considered within architect...
Stripling, Christopher T.; Roberts, T. Grady
2014-01-01
The purpose of this study was to determine the effects of incorporating mathematics teaching and integration strategies (MTIS) in a teaching methods course on preservice agricultural teachers' mathematics ability. The research design was quasi-experimental and utilized a nonequivalent control group. The MTIS treatment had a positive effect on the…
Jao, Limin
2017-01-01
For pre-service teachers (PSTs) who have been exposed to traditional approaches, teacher education courses can be a revelatory experience in their development as educators. This study explores if Canadian upper elementary/lower secondary (grades 4-10) PSTs change their beliefs about mathematics teaching as a result of taking a mathematics methods…
A first course in topology an introduction to mathematical thinking
Conover, Robert A
1975-01-01
Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate course. The logical presentation anticipates students' questions, and complete definitions and expositions of topics relate new concepts to previously discussed subjects.Most of the material focuses on point-set topology with the exception of the last chapter. Topics include sets and functions, infinite sets and transfinite numbers, topological spaces a
Student Performance in Mathematics: Should We Be Concerned? Evidence from a Retail Course
Enderson, Mary C.; Mann, Manveer
2018-01-01
This article describes how for many college students the transition to college-level mathematics courses presents new challenges beyond those that were part of the high school experience. In this interdisciplinary study forty-four non-mathematics and non-science majors, enrolled in a retail-buying course, were studied to examine student confidence…
A College-Level Foundational Mathematics Course: Evaluation, Challenges, and Future Directions
Maciejewski, Wes
2012-01-01
Recently in Ontario, Canada, the College Math Project brought to light startling data on the achievement of students in Ontario's College of Applied Arts and Technology System related to their performance in first-year mathematics courses: one-third of the students had failed their first-year mathematics course or were at risk of not completing…
Hine, Gregory S. C.
2015-01-01
This qualitative research project explored the self-perceptions of pre-service secondary mathematics teachers completing a Graduate Diploma of Secondary Education. Specifically, the researcher investigated the extent to which teachers perceived their readiness to commence a secondary mathematics teaching position. The project relied principally on…
A mathematics content course and teaching efficacy beliefs of undergraduate majors in education.
Alkhateeb, Haitham M; Abed, Adnan S
2003-10-01
This study was designed to assess the mathematics teaching efficacy beliefs of undergraduates in elementary education through a manipulative-based course in mathematics. Responses of 106 university undergraduates to the 21-item Mathematics Teaching Efficacy Beliefs administered as pre- and posttest without a control group showed a significant immediate postcourse change in their efficacy beliefs using dependent t test.
Reframing Research on Methods Courses to Inform Mathematics Teacher Educators' Practice
Kastberg, Signe E.; Tyminski, Andrew M.; Sanchez, Wendy B.
2017-01-01
Calls have been made for the creation of a shared knowledge base in mathematics teacher education with the power to inform the design of scholarly inquiry and mathematics teacher educators' (MTEs) scholarly practices. Focusing on mathematics methods courses, we summarize and contribute to literature documenting activities MTEs use in mathematics…
Morris, Anne K.; Hiebert, James
2017-01-01
We investigated whether the content pre-service teachers studied in elementary teacher preparation mathematics courses was related to their performance on a mathematics lesson planning task 2 and 3 years after graduation. The relevant mathematics knowledge was studied when the teachers were freshmen, 5 to 6 years earlier. Results showed that when…
Impact of clicker technology in a mathematics course
Directory of Open Access Journals (Sweden)
Sibongile Simelane
2012-09-01
Full Text Available This article reports on the implementation of clickers to improve the success rate of first-year mathematics students. There were 105 students registered in this course, in a university of technology in South Africa. In order to do this, an orientation test in the form of a paper-based assessment was first conducted to determine what students already knew. About 21.9% of the students did not take the test and 20% did not pass it. These results raised concerned. Thereafter students were taught. After four weeks they were evaluated on their understanding of the concept taught in class. Results did not improve much, as 48.6% of the students did not pass the test. Therefore, a technology-engagement teaching strategy (TETS using clicker technology was developed and implemented in order to improve the pass rate. Weekly continuous assessments or diagnostic tests were conducted in order to establish the changes in students’ academic performance. A survey questionnaire was administered after the teaching and learning of incorporating clickers. This questionnaire also examined students’ perspective on the usefulness of clickers in teaching and learning. The results showed that the effective implementation of clickers with the integration of a TETS improved students’ success rate.
Lim, Janine M.
2016-01-01
Self-paced online courses meet flexibility and learning needs of many students, but skepticism persists regarding the quality and the tendency for students to procrastinate in self-paced courses. Research is needed to understand procrastination and delay patterns of students in online self-paced courses to predict successful completion and…
Montiel, Mariana; Bhatti, Uzma
2010-01-01
This article presents an overview of some issues that were confronted when delivering an online second Linear Algebra course (assuming a previous Introductory Linear Algebra course) to graduate students enrolled in a Secondary Mathematics Education program. The focus is on performance in one particular aspect of the course: "change of basis" and…
Developing Creativity of Schoolchildren through the Course "Developmental Mathematics"
Gorev, Pavel M.; Masalimova, Alfiya R.; Mukhametzyanova, Farida Sh.; Makarova, Elena V.
2017-01-01
The relevance of the present study is due to the importance of developing creativity which can be achieved through a variety of school subjects including mathematics. In the article the potential of extended (supplementary) mathematical education (in primary and secondary schools) is highlighted. The main objective of this study is to examine and…
Experiences Teaching a Software Aided Mathematics Course for a General University Audience.
McGivney, Raymond J., Jr.
1990-01-01
Described is a nonmajor mathematics course taught using computers and lab experiments. Included are the challenge, solution, description of the first class, problems, successes, the syllabus, student comments, and the conclusion. (KR)
A Study of Placement and Grade Prediction in First College Mathematics Courses
Madison, Bernard L.; Linde, Cassandra S.; Decker, Blake R.; Rigsby, E. Myron; Dingman, Shannon W.; Stegman, Charles E.
2015-01-01
A college mathematics placement test with 25 basic algebra items and 15 calculus readiness items was administered to 1572 high school seniors, and first college mathematics course grades were obtained for 319 of these students. Test results indicated that more than two thirds of the high school graduates were not college ready, and the test…
Factors Affecting Student Success in a First-Year Mathematics Course: A South African Experience
Kizito, Rita; Munyakazi, Justin; Basuayi, Clement
2016-01-01
In spite of sustained efforts tertiary institutions implement to try and improve student academic performance, the number of students succeeding in first-year mathematics courses remains disturbingly low. For most students, the gap between their mathematical capability and the competencies they are expected and need to develop to function…
Primary Trait Analysis to Assess a Learner-Centered, Upper-Level Mathematics Course
Alsardary, Salar; Pontiggia, Laura; Hamid, Mohammed; Blumberg, Phyllis
2011-01-01
This study presents a primary trait analysis of a learner-centered, discrete mathematics course based on student-to-student instruction. The authors developed a scoring rubric for the primary traits: conceptual knowledge, procedural knowledge, application of understanding, and mathematical communication skills. Eleven students took an exam…
Huseyin, Aksu Hasan
2015-01-01
The aim of this study is to determine elementary mathematics teachers' thoughts and feelings on the courses of school-experience and teacher-practice. In this study was used the qualitative research method. Those involved in the study were 20 mathematics teachers employed in formal/government primary schools in the Province of Giresun and in the…
Interventions to Improve Teaching and Learning in First Year Mathematics Courses
Engelbrecht, Johann; Harding, Ansie
2015-01-01
In keeping with the national mandate of increasing graduates in the sciences in South Africa, a concerted effort in improving the first year experience becomes imperative. First year mathematics courses commonly provide the base knowledge necessary for progression in different degree programmes at university. Success in mathematics courses…
Difficulties encountered by the teachers in fifth grade applications of mathematics course
Directory of Open Access Journals (Sweden)
Fatma Nur Çoban
2013-12-01
Full Text Available The purpose of this study was to determine the teachers’ practices and the difficulties encountered by the teachers in 5th grade optional ‘mathematics applications’ course, which came into effect with the new 4+4+4 educational system. The study was conducted in 2012-2013 academic year using the qualitative research method of semi-structured interview with 8 mathematics teachers who were teaching this course. The teachers were from four schools situated in socioeconomically average quarters of Eskişehir. The interview consisted of questions under three categories; aims and contents of the course, teachers’ practices and assessment of the course.Key Words: Mathematics applications course, curriculum, teaching resources, teacher views
40 CFR 62.15110 - Who must complete the plant-specific training course?
2010-07-01
...-specific training course? All employees with responsibilities that affect how a municipal waste combustion... 40 Protection of Environment 8 2010-07-01 2010-07-01 false Who must complete the plant-specific training course? 62.15110 Section 62.15110 Protection of Environment ENVIRONMENTAL PROTECTION AGENCY...
40 CFR 60.1655 - Who must complete the plant-specific training course?
2010-07-01
...-specific training course? All employees with responsibilities that affect how a municipal waste combustion... 40 Protection of Environment 6 2010-07-01 2010-07-01 false Who must complete the plant-specific training course? 60.1655 Section 60.1655 Protection of Environment ENVIRONMENTAL PROTECTION AGENCY...
Pettijohn, Terry F., II; Walzer, Amy S.
2008-01-01
Students enrolled in Psychology of Prejudice and Introductory Psychology courses completed measures of racism, sexism, and attitudes toward homosexuals at the beginning and end of the term. We predicted that those who took part in the Psychology of Prejudice class would have significantly reduced prejudice as a result of the course experience. We…
Conrad, Karen S.; Tracy, Dyanne M.
Research has shown that elementary teachers are mathematics anxious, and that this anxiousness can be transmitted to their students. Therefore, many students are not afforded the opportunity to participate in a comfortable mathematics environment. Preservice elementary teachers (n=63) reported their pre- and posttest mathematics anxiety using the…
Directory of Open Access Journals (Sweden)
Mohammad Mazharul Islam
2018-01-01
Full Text Available Although the mathematics foundation program was introduced in Sultan Qaboos University (SQU half a decade ago, there has been no evaluation or assessment of the program. The aim of this study was to evaluate the students’ performance in the Mathematics foundation course in SQU and to examine the predictive value of a student’s high school performance for success in the math foundation course. The study considered a sample of 551 students who took the math course (MATH2107 during 2014 Spring semester. More than 95% of the students were admitted to SQU with a high school score of 80 and above. The analysis revealed that, in general, female students were admitted to SQU with a significantly higher average high school score than the male students. The findings indicate a very unsatisfactory performance of the students in the mathematics foundation course as the mean GPA was 1.66 and more than half (59% of the students obtained a GPA less than 2 (i.e. below grade C, of which 14% failed and 35% obtained grade D. Female students outperformed male students in the mathematics course. High school mathematics performance, gender and cohort of students were identified as significant predictors of success in the mathematics foundation course. To increase the success rate of the mathematics course, the high school curriculum needs to be aligned with the University standards and the admission authority should continue to give more attention to high school mathematics scores along with overall high school performance while making admission decisions for the College of Science in SQU.
Math 3013--Developmental Mathematics I and II. Course Outline.
New York Inst. of Tech., Old Westbury.
This document contains the course syllabus and 12 independent practice modules for an introductory college algebra course that requires some previous knowledge of algebra and the ability to work at a rapid pace. Topics include the basic operations with signed integers; fractions; decimals; literal expressions; algebraic fractions; radicals;…
A Hybrid and Flipped Version of an Introductory Mathematics Course for Higher Education
Salinas Martínez, N. Patricia; Quintero Rodríguez, Eliud
2018-01-01
This in practice paper describes the experience of seven lecturers in a hybrid and flipped version of an introductory mathematics course for higher education. In a Mexican university, lecturers adapted to this innovation supported by an adjusted Massive Open Online Course. The experience revealed the relevance of leaving conventional assessment…
Developing Mathematical Knowledge for Teaching in a Methods Course: The Case of Function
Steele, Michael D.; Hillen, Amy F.; Smith, Margaret S.
2013-01-01
This study describes teacher learning in a teaching experiment consisting of a content-focused methods course involving the mathematical knowledge for teaching function. Prospective and practicing teachers in the course showed growth in their ability to define function, to provide examples of functions and link them to the definition, in the…
A Study of Student Retention and Attitudes in a Community College Preparatory Mathematics Course.
Rhodes, Jolene M.
This study explored the effects of the use of laboratory activities on students' attitudes and retention in a community college preparatory mathematics course. It also examined whether the use of numerical, analytical, and graphical methods of solution in preparatory classes would affect student retention in the succeeding algebra course. The…
Magee, Paula A.; Flessner, Ryan
2012-01-01
This study examines the effect of promoting inquiry-based teaching (IBT) through collaboration between a science methods course and mathematics methods course in an elementary teacher education program. During the collaboration, preservice elementary teacher (PST) candidates experienced 3 different types of inquiry as a way to foster increased…
Using e-Learning Platforms for Mastery Learning in Developmental Mathematics Courses
Boggs, Stacey; Shore, Mark; Shore, JoAnna
2004-01-01
Many colleges and universities have adopted e-learning platforms to utilize computers as an instructional tool in developmental (i.e., beginning and intermediate algebra) mathematics courses. An e-learning platform is a computer program used to enhance course instruction via computers and the Internet. Allegany College of Maryland is currently…
Mathematical Practices and Arts Integration in an Activity-Based Projective Geometry Course
Ernest, Jessica Brooke
It is a general assumption that the mathematical activity of students in school should, at least to some degree, parallel the practices of professional mathematicians (Brown, Collins, Duguid, 1989; Moschkovich, 2013). This assumption is reflected in the Common Core State Standards (CCSSI, 2010) and National Council of Teachers of Mathematics (NCTM, 2000) standards documents. However, the practices included in these standards documents, while developed to reflect the practices of professional mathematicians, may be idealized versions of what mathematicians actually do (Moschkovich, 2013). This might lead us to question then: "What is it that mathematicians do, and what practices are not being represented in the standards documents?" In general, the creative work of mathematicians is absent from the standards and, in turn, from school mathematics curricula, much to the dismay of some mathematicians and researchers (Lockhart, 2009; Rogers, 1999). As a result, creativity is not typically being fostered in mathematics students. As a response to this lack of focus on fostering creativity (in each of the science, technology, engineering, and mathematics disciplines--the STEM disciplines), a movement to integrate the arts emerged. This movement, called the STEAM movement--introducing the letter A into the acronym STEM to signify incorporating the arts--has been gaining momentum, yet limited research has been carried out on the efficacy of integrating the arts into mathematics courses. My experiences as the co-instructor for an activity-based course focused on projective geometry led me to consider the course as a setting for investigating both mathematical practices and arts integration. In this work, I explored the mathematical practices in which students engaged while working to develop an understanding of projective geometry through group activities. Furthermore, I explored the way in which students' learning experiences were enriched through artistic engagement in the
Directory of Open Access Journals (Sweden)
Botuzova Y.
2017-12-01
Full Text Available The article raises the problem of organization independent work of students. In particular, the model of integration of traditional and distance learning in the form of a blended learning is considered. The experience of introducing a distance course in the discipline "Mathematical Analysis" is described. The purpose of this distance course is the effective organization of independent out of class work of future mathematics teachers. In this paper, the structure of educational and methodological support of the educational process on mathematical analysis is examined, as well as its model in a blended learning is presented. The didactic capabilities of distance technologies are analyzed. The step-by-step scheme of organization of independent work of students in the context of the use of distance course is offered. The scheme consists of the following stages: preparatory, theoretical, practical-activity, controlling, corrective. The author describes in detail the contents of the work of the teacher and students at each of these stages. The peculiarities of planning, developing and implementing a distance course, and the leadership of independent work of students are revealed. For this, the teacher performs the following functions: the formation of a permanent positive student motivation; defining and setting goals and objectives; organization of interaction between students; control and counseling of students in the learning process. A number of psychological and pedagogical problems are highlighted in the implementation of the distance learning form and the ways of their partial or complete elimination are indicated.
The Effect of Blended Learning in Mathematics Course
Lin, Ya-Wen; Tseng, Chih-Lung; Chiang, Po-Jui
2017-01-01
With the advent of the digital age, traditional didactic teaching and online learning have been modified and gradually replaced by "Blended Learning." The purpose of this study was to explore the influences of blended learning pedagogy on junior high school student learning achievement and the students' attitudes toward mathematics. To…
Predicting Success for Actuarial Students in Undergraduate Mathematics Courses
Smith, Richard Manning; Schumacher, Phyllis A.
2005-01-01
A study of undergraduate actuarial graduates found that math SAT scores, verbal SAT scores, percentile rank in high school graduating class, and percentage score on a college mathematics placement exam had some relevance to forecasting the students' grade point averages in their major. For both males and females, percentile rank in high school…
Kontur, F.?J.; de La Harpe, K.; Terry, N.?B.
2015-01-01
We examine how student aptitudes impact how much students learn from doing graded online and written homework in an introductory electricity and magnetism course. Our analysis examines the correlation between successful homework completion rates and exam performance as well as how changes in homework completion correlate with changes in exam…
Basitere, Moses; Ivala, Eunice
2015-01-01
This paper reports on a study carried out at a University of Technology, South Africa, aimed at identifying the existence of the mathematical knowledge gap and evaluating the intervention designed to bridge the knowledge gap amongst students studying first year mathematics at the Chemical Engineering Extended Curriculum Program (ECP). In this…
Bailey, Judy
2014-01-01
Preparing to become an effective primary school mathematics teacher is a challenging and complex task; and is influenced by one's past experiences, personal knowledge of, and beliefs and attitudes towards mathematics. This paper examines the experiences of a small group of pre-service teachers who did not pass their first year mathematics…
Becoming a Teacher Educator: A Self-Study of the Use of Inquiry in a Mathematics Methods Course
Marin, Katherine Ariemma
2014-01-01
This article details the self-study of a beginning teacher educator in her first experience in teaching a mathematics methods course. The transition from teacher to teacher educator is explored through the experience of a course focused on inquiry. Inquiry is embedded within the course from two perspectives: mathematical inquiry and teaching as…
F. J. Kontur; K. de La Harpe; N. B. Terry
2015-01-01
We examine how student aptitudes impact how much students learn from doing graded online and written homework in an introductory electricity and magnetism course. Our analysis examines the correlation between successful homework completion rates and exam performance as well as how changes in homework completion correlate with changes in exam scores for students with different physics aptitudes. On average, successfully completing many homework problems correlated to better exam scores only fo...
Hoskinson, Anne-Marie
2010-01-01
Biological problems in the twenty-first century are complex and require mathematical insight, often resulting in mathematical models of biological systems. Building mathematical-biological models requires cooperation among biologists and mathematicians, and mastery of building models. A new course in mathematical modeling presented the opportunity…
Hester, Susan; Buxner, Sanlyn; Elfring, Lisa; Nagy, Lisa
2014-01-01
Recent calls for improving undergraduate biology education have emphasized the importance of students learning to apply quantitative skills to biological problems. Motivated by students' apparent inability to transfer their existing quantitative skills to biological contexts, we designed and taught an introductory molecular and cell biology course in which we integrated application of prerequisite mathematical skills with biology content and reasoning throughout all aspects of the course. In this paper, we describe the principles of our course design and present illustrative examples of course materials integrating mathematics and biology. We also designed an outcome assessment made up of items testing students' understanding of biology concepts and their ability to apply mathematical skills in biological contexts and administered it as a pre/postcourse test to students in the experimental section and other sections of the same course. Precourse results confirmed students' inability to spontaneously transfer their prerequisite mathematics skills to biological problems. Pre/postcourse outcome assessment comparisons showed that, compared with students in other sections, students in the experimental section made greater gains on integrated math/biology items. They also made comparable gains on biology items, indicating that integrating quantitative skills into an introductory biology course does not have a deleterious effect on students' biology learning.
Hester, Susan; Buxner, Sanlyn; Elfring, Lisa; Nagy, Lisa
2014-01-01
Recent calls for improving undergraduate biology education have emphasized the importance of students learning to apply quantitative skills to biological problems. Motivated by students’ apparent inability to transfer their existing quantitative skills to biological contexts, we designed and taught an introductory molecular and cell biology course in which we integrated application of prerequisite mathematical skills with biology content and reasoning throughout all aspects of the course. In this paper, we describe the principles of our course design and present illustrative examples of course materials integrating mathematics and biology. We also designed an outcome assessment made up of items testing students’ understanding of biology concepts and their ability to apply mathematical skills in biological contexts and administered it as a pre/postcourse test to students in the experimental section and other sections of the same course. Precourse results confirmed students’ inability to spontaneously transfer their prerequisite mathematics skills to biological problems. Pre/postcourse outcome assessment comparisons showed that, compared with students in other sections, students in the experimental section made greater gains on integrated math/biology items. They also made comparable gains on biology items, indicating that integrating quantitative skills into an introductory biology course does not have a deleterious effect on students’ biology learning. PMID:24591504
Swars, Susan Lee
2015-01-01
This mixed methods study examined the mathematical preparation of elementary teachers in a Teach for America (TFA) program, focal participants for whom there is scant extant research. Data collection occurred before and after a university mathematics methods course, with a particular focus on the participants' (n = 22) mathematical beliefs,…
A course in mathematical physics 2 classical field theory
Thirring, Walter
1978-01-01
In the past decade the language and methods ofmodern differential geometry have been increasingly used in theoretical physics. What seemed extravagant when this book first appeared 12 years ago, as lecture notes, is now a commonplace. This fact has strengthened my belief that today students of theoretical physics have to learn that language-and the sooner the better. Afterall, they willbe the professors ofthe twenty-first century and it would be absurd if they were to teach then the mathematics of the nineteenth century. Thus for this new edition I did not change the mathematical language. Apart from correcting some mistakes I have only added a section on gauge theories. In the last decade it has become evident that these theories describe fundamental interactions, and on the classical level their structure is suffi cientlyclear to qualify them for the minimum amount ofknowledge required by a theoretician. It is with much regret that I had to refrain from in corporating the interesting developments in Kal...
Changing Students Minds and Achievement in Mathematics: The Impact of a Free Online Student Course
Directory of Open Access Journals (Sweden)
Jo Boaler
2018-04-01
Full Text Available This study reports on the impact of a “massive, open, online course” (MOOC designed to change students' ideas about mathematics and their own potential and improve their mathematics achievement. Many students hold damaging fixed mindsets, believing that their intelligence is unchangeable. When students shift to a growth mindset (believing that their intelligence is malleable, their achievement increases. This study of a MOOC intervention differs from previous mindset research in three ways (1 the intervention was delivered through a free online course with the advantage of being scalable nationwide (2 the intervention infused mindset messages into mathematics, specifically targeting students' beliefs about mathematics (3 the research was conducted with a teacher randomized controlled design to estimate its effects. Results show that the treatment group who took the MOOC reported more positive beliefs about math, engaged more deeply in math in class, and achieved at significantly higher levels on standardized mathematics assessments.
International Nuclear Information System (INIS)
Toth, W.J.; Smith, T.H.; Garcia, M.M.; Ferguson, J.E.
1991-01-01
The Department of Energy (DOE) and its Idaho National Engineering Laboratory (INEL) are developing educational programs that will help avert projected shortages in scientific and engineering manpower. One approach to this end is to help teachers become better prepared to teach topics that enthuse more students. INEL developed and offered a Short Course in Waste Management Technologies for Secondary Science and Mathematics Teachers. Short Course has two purposes: (1) to provide secondary-level science and mathematics teachers with training and information that will be useful to them in the classroom, and (2) to provide information on a topic of widespread interest in today's society, i.e., the management of hazardous and radioactive wastes and the restoration and preservation of the environment. This paper describes the development of the Short Course and summarizes some of the lessons learned in the preparation and presentation of such courses. 2 refs., 2 tabs
Completion Rates--A False Trail to Measuring Course Quality? Let's Call in the HEROEs Instead
Creelman, Alastair; Reneland-Forsman, Linda
2013-01-01
Statistics are often used to reveal significant differences between online and campus-based education. The existence of online courses with low completion rates is often used to justify the inherent inferiority of online education compared to traditional classroom teaching. Our study revealed that this type of conclusion has little substance. We…
40 CFR 62.15105 - Who must complete the operator training course? By when?
2010-07-01
... an employee assumes responsibilities that affect operation of the municipal waste combustion unit. (c... 40 Protection of Environment 8 2010-07-01 2010-07-01 false Who must complete the operator training course? By when? 62.15105 Section 62.15105 Protection of Environment ENVIRONMENTAL PROTECTION AGENCY...
40 CFR 60.1650 - Who must complete the operator training course? By when?
2010-07-01
.... (3) The date before an employee assumes responsibilities that affect operation of the municipal waste... 40 Protection of Environment 6 2010-07-01 2010-07-01 false Who must complete the operator training course? By when? 60.1650 Section 60.1650 Protection of Environment ENVIRONMENTAL PROTECTION AGENCY...
Fostering Students' Preparation and Achievement in Upper Level Mathematics Courses
Celik, Mehmet; Shaqlaih, Ali
2017-01-01
This study describes an intervention to address both motivation, student engagement and preparation in upper-level mathematics courses. The effect of the intervention regarding students' achievements is investigated via students' opinions and data analysis from students' assessments. The results of this study show the featured intervention…
Argumentative Knowledge Construction in an Online Graduate Mathematics Course: A Case Study
Bayazit, Nermin; Clarke, Pier Angeli Junor; Vidakovic, Draga
2018-01-01
The authors report on three students' argumentative knowledge construction in an asynchronous online graduate level geometry course designed for in-service secondary mathematics (ISM) teachers. Using Weinberger and Fischer's framework, they analyzed the ISM teachers' (a) geometry autobiography and (b) discussion board posts (both comments and…
Hajra, Sayonita Ghosh; Das, Ujjaini
2015-01-01
This paper uses collaborative learning strategies to examine students' perceptions in a differential equations mathematics course. Students' perceptions were analyzed using three collaborative learning strategies including collaborative activity, group-quiz and online discussion. The study results show that students identified both strengths and…
Teaching the Blue-Eyed Islanders Puzzle in a Liberal Arts Mathematics Course
Shea, Stephen
2012-01-01
The blue-eyed islanders puzzle is an old and challenging logic puzzle. This is a narrative of an experience introducing a variation of this puzzle on the first day of classes in a liberal arts mathematics course for non-majors. I describe an exercise that was used to facilitate the class's understanding of the puzzle.
A Digital Storytelling Study Project on Mathematics Course with Preschool Pre-Service Teachers
Inan, Cemil
2015-01-01
Digital storytelling technique is based on a presentation of course content in a story form using multimedia tools. In this study, digital stories were designed for mathematics instruction with preschool pre-service teachers. At the end of the six-week study, preschool students viewed the digital stories created. The study aimed to determine the…
Folds, Lea D.; Tanner, C. Kenneth
2014-01-01
The purpose of this study was to analyze the relations among socioeconomic status, highest-level mathematics course, absenteeism, student mobility and measures of work readiness of high school seniors in Georgia. Study participants were 476 high school seniors in one Georgia county. The full regression model explained 27.5% of the variance in…
Tra, Yolande V.; Evans, Irene M.
2010-01-01
"BIO2010" put forth the goal of improving the mathematical educational background of biology students. The analysis and interpretation of microarray high-dimensional data can be very challenging and is best done by a statistician and a biologist working and teaching in a collaborative manner. We set up such a collaboration and designed a course on…
Implementing a Flipped Classroom Approach in a University Numerical Methods Mathematics Course
Johnston, Barbara M.
2017-01-01
This paper describes and analyses the implementation of a "flipped classroom" approach, in an undergraduate mathematics course on numerical methods. The approach replaced all the lecture contents by instructor-made videos and was implemented in the consecutive years 2014 and 2015. The sequential case study presented here begins with an…
LeBeau, Brandon; Harwell, Michael; Monson, Debra; Dupuis, Danielle; Medhanie, Amanuel; Post, Thomas R.
2012-04-01
Background: The importance of increasing the number of US college students completing degrees in science, technology, engineering or mathematics (STEM) has prompted calls for research to provide a better understanding of factors related to student participation in these majors, including the impact of a student's high-school mathematics curriculum. Purpose: This study examines the relationship between various student and high-school characteristics and completion of a STEM major in college. Of specific interest is the influence of a student's high-school mathematics curriculum on the completion of a STEM major in college. Sample: The sample consisted of approximately 3500 students from 229 high schools. Students were predominantly Caucasian (80%), with slightly more males than females (52% vs 48%). Design and method: A quasi-experimental design with archival data was used for students who enrolled in, and graduated from, a post-secondary institution in the upper Midwest. To be included in the sample, students needed to have completed at least three years of high-school mathematics. A generalized linear mixed model was used with students nested within high schools. The data were cross-sectional. Results: High-school predictors were not found to have a significant impact on the completion of a STEM major. Significant student-level predictors included ACT mathematics score, gender and high-school mathematics GPA. Conclusions: The results provide evidence that on average students are equally prepared for the rigorous mathematics coursework regardless of the high-school mathematics curriculum they completed.
Testing Our Assumptions: The Role of First Course Grade and Course Level in Mathematics and English
Callahan, Janet; Belcheir, Marcia
2017-01-01
Methods that provide an early indicator of factors that affect student persistence are important to colleges and universities. This quantitative research focused on the role of level of entry mathematics and English and also on grades earned in those classes, as they relate to persistence after 1 year. The research showed that by far, the variable…
The Effect of Project-Based Learning on Student Self-Efficacy in a Developmental Mathematics Course
Deutsch, Melissa
2017-01-01
Each year, post-secondary institutions across the nation enroll thousands of students into developmental mathematics courses. Success rates are low for students placed in developmental mathematics courses employing traditional teaching practices. Secondary institutions utilizing more engaging pedagogies and high impact practices, such as…
Oquendo-Rodriguez, Aida L.
Professions and careers related to science and mathematics lack representation of minorities. Within these underrepresented minority populations there is no other group more affected than Latina women and girls. Women in general, are still underrepresented in many areas of our society. While women's roles are changing in today's society, most changes encourage the participation of more White/Anglo women in traditionally male roles. Latina women are still more disadvantaged than White women. There is no doubt that education is significant in increasing the participation of minorities in the fields of science and mathematics, especially for minority girls (Oakes, 1990; Rodriguez, 1993). This study explored the interests, life experiences, characteristics and motivations of Latina girls of Puerto Rican origin who are successful in science and mathematics high school courses. The study identifies factors that can influence the interest of Latina girls of Puerto Rican origin in science and mathematics career choices. This research is significant and relevant to educators and policy makers, especially to science and mathematics educators. The research is primarily descriptive and exploratory. It explores the social characteristics of Latina girls and professional women who have been successful in science and mathematics high school courses. The research offers the reader a visit to the participants' homes with descriptions and the opportunity to explore the thoughts and life experiences of Latina girls, their mothers and young Latina professionals of Puerto Rican origin. This research reveals the common characteristics of successful students found in the Latina girls of Puerto Rican origin who where interviewed. Creating a portrait of Latina girls of Puerto Rican origin who are successful in science and mathematics high school courses in one of the school districts of western Massachusetts. The research findings reveal that teacher relationships, family expectations
Stein, Sherman K
2010-01-01
Anyone can appreciate the beauty, depth, and vitality of mathematics with the help of this highly readable text, specially developed from a college course designed to appeal to students in a variety of fields. Readers with little mathematical background are exposed to a broad range of subjects chosen from number theory, topology, set theory, geometry, algebra, and analysis. Starting with a survey of questions on weight, the text discusses the primes, the fundamental theorem of arithmetic, rationals and irrationals, tiling, tiling and electricity, probability, infinite sets, and many other topi
Student School-Level Math Knowledge Influence on Applied Mathematics Study Courses
Directory of Open Access Journals (Sweden)
Rima Kriauzienė
2013-08-01
Full Text Available Purpose—to find out the influence of student school-level math knowledge on courses of applied mathematics studies: what is the importance of having a math maturity exam for students, an estimate of social science students’ motivation to learn math, and attendance of seminars. Students who did take the state exam attended more seminars than the students who did not take math exam, and vice versa. Design/methodology/approach—this work describes research which involved persistent MRU Public Administration degree program second-year students. Doing statistical analysis of the data will be a link between school-level mathematics knowledge and attendance activity in seminars and motivation to learn mathematics. Findings—the research is expected to establish a connection between school-level mathematics knowledge and student motivation to learn mathematics. It was found that there is no correlation between student opinions about school mathematics courses and result of their first test. Determine relationship between attendance of exercises and public examinations. Between the stored type of exam and test results are dependent. Determine relationship between exercise attendance and test results, as shown by the calculated correlation coefficient Based on the results, it’s recommended to increase the number of exercises. A more refined analysis of the data is subject to further investigation. Research limitations/implications—this method is just one of the possible ways of application. Practical implications—that kind of research and its methodology can be applied not only to the subject of applied mathematics studies, but also to other natural or social sciences. Originality/Value—empirical experiment data can be used in other studies of Educology nature analysis.
Student School-Level Math Knowledge Influence on Applied Mathematics Study Courses
Directory of Open Access Journals (Sweden)
Tadas Laukevičius
2011-12-01
Full Text Available Purpose—to find out the influence of student school-level math knowledge on courses of applied mathematics studies: what is the importance of having a math maturity exam for students, an estimate of social science students’ motivation to learn math, and attendance of seminars. Students who did take the state exam attended more seminars than the students who did not take math exam, and vice versa.Design/methodology/approach—this work describes research which involved persistent MRU Public Administration degree program second-year students. Doing statistical analysis of the data will be a link between school-level mathematics knowledge and attendance activity in seminars and motivation to learn mathematics.Findings—the research is expected to establish a connection between school-level mathematics knowledge and student motivation to learn mathematics.It was found that there is no correlation between student opinions about school mathematics courses and result of their first test.Determine relationship between attendance of exercises and public examinations.Between the stored type of exam and test results are dependent.Determine relationship between exercise attendance and test results, as shown by the calculated correlation coefficientBased on the results, it’s recommended to increase the number of exercises. A more refined analysis of the data is subject to further investigation.Research limitations/implications—this method is just one of the possible ways of application.Practical implications—that kind of research and its methodology can be applied not only to the subject of applied mathematics studies, but also to other natural or social sciences.Originality/Value—empirical experiment data can be used in other studies of Educology nature analysis.
Directory of Open Access Journals (Sweden)
Samuel L. Tunstall
2016-07-01
Full Text Available In this paper, we describe the process at Michigan State University whereby we have created two courses, Math 101 and 102, designed to foster numeracy and alleviate mathematics anxiety. The courses--which are not sequential--provide a means of satisfying the University's general education requirement without taking college algebra or calculus, among other options. They are context-driven and broken into modules such as "The World and Its People" and "Health and Risk." They have been highly successful thus far, with students providing positive feedback on their interest in the material and the utility they see of it in their daily lives. We include background on the courses' history, their current status, and present and future challenges, ending with suggestions for others as they attempt to implement quantitative literacy courses at their own institution.
Fokina, Mariya
2017-11-01
The economy of Russia is based around the mineral-raw material complex to the highest degree. The mining industry is a prioritized and important area. Given the high competitiveness of businesses in this sector, increasing the efficiency of completed work and manufactured products will become a central issue. Improvement of planning and management in this sector should be based on multivariant study and the optimization of planning decisions, the appraisal of their immediate and long-term results, taking the dynamic of economic development into account. All of this requires the use of economic mathematic models and methodsApplying an economic-mathematic model to determine optimal ore mine production capacity, we receive a figure of 4,712,000 tons. The production capacity of the Uchalinsky ore mine is 1560 thousand tons, and the Uzelginsky ore mine - 3650 thousand. Conducting a corresponding analysis of the production of OAO "Uchalinsky Gok", an optimal production plan was received: the optimal production of copper - 77961,4 rubles; the optimal production of zinc - 17975.66 rubles. The residual production volume of the two main ore mines of OAO "UGOK" is 160 million tons of ore.
Smart teaching technologies used in blended e-learning course mathematics
Schreurs, J.
2013-01-01
A literature study about changes in learning models and learning environment is reported and relevant best practices were described in the first part of the paper. An e-tutor solution for the course mathematics of first year bachelor business economic sciences in Hasselt University has been developed, based on these concepts. LAB lecture capturing has been used for the development of presentation video's. Attractive visual presentations of the theoretical modules are focusing on the concepts,...
Smart Teachig Technologies used in blended e-learning course mathematics
Schreurs, Jeanne
2013-01-01
A literature study about changes in learning models and learning environment is reported and relevant best practices were described in the first part of the paper. An e-tutor solution for the course mathematics of first year bachelor business economic sciences in Hasselt University has been developed, based on these concepts. LAB lecture capturing has been used for the development of presentation video’s. Attractive visual presentations of the theoretical modules are focusing on the co...
Akkoç, Hatice
2015-11-01
This paper focuses on a specific aspect of formative assessment, namely questioning. Given that computers have gained widespread use in learning and teaching, specific attention should be made when organizing formative assessment in computer learning environments (CLEs). A course including various workshops was designed to develop knowledge and skills of questioning in CLEs. This study investigates how pre-service mathematics teachers used formative questioning with technological tools such as Geogebra and Graphic Calculus software. Participants are 35 pre-service mathematics teachers. To analyse formative questioning, two types of questions are investigated: mathematical questions and technical questions. Data were collected through lesson plans, teaching notes, interviews and observations. Descriptive statistics of the number of questions in the lesson plans before and after the workshops are presented. Examples of two types of questions are discussed using the theoretical framework. One pre-service teacher was selected and a deeper analysis of the way he used questioning during his three lessons was also investigated. The findings indicated an improvement in using technical questions for formative purposes and that the course provided a guideline in planning and using mathematical and technical questions in CLEs.
Fayaz, Amir; Mazahery, Azita; Hosseinzadeh, Mohammad; Yazdanpanah, Samane
2015-03-01
Advances in computer science and technology allow the instructors to use instructional multimedia programs to enhance the process of learning for dental students. The purpose of this study was to determine the effect of a new educational modality by using videotapes on the performance of dental students in preclinical course of complete denture fabrication. This quasi-experimental study was performed on 54 junior dental students in Shahid Beheshti University of Medical Sciences (SBMU). Twenty-five and 29 students were evaluated in two consecutive semesters as controls and cases, respectively for the same course. The two groups were matched in terms of "knowledge about complete denture fabrication" and "basic dental skills" using a written test and a practical exam, respectively. After the intervention, performance and clinical skills of students were assessed in 8 steps. Eventually, a post-test was carried out to find changes in knowledge and skills of students in this regard. In the two groups with the same baseline level of knowledge and skills, independent T-test showed that students in the test group had a significantly superior performance in primary impression taking (p= 0.001) and primary cast fabrication (p= 0.001). In terms of anterior teeth set up, students in the control group had a significantly better performance (p= 0.001). Instructional videotapes can aid in teaching fabrication of complete denture and are as effective as the traditional teaching system.
Morante, Annette; Djenidi, Valerie; Clark, Helene; West, Susan
2017-01-01
With enrolment and completion rates in the University of Newcastle's online Open Foundation enabling program being considerably higher for women than for men, this case study investigates the engagement of male and female students in two different subject areas. History and Mathematics students' online behaviour is examined to identify whether…
The Delivery of Developmental Mathematics: Course Redesign and Implementation at a Community College
Westerfield, Mary Ann K.
2013-01-01
This research was undertaken to determine if the redesigned modular delivery method for developmental mathematics produced a higher sequence completion rate within a year as compared to the traditional lecture style delivery. Re-enrollment rates from fall to spring for the modularized delivery system were compared to the traditional delivery…
Directory of Open Access Journals (Sweden)
F. J. Kontur
2015-02-01
Full Text Available We examine how student aptitudes impact how much students learn from doing graded online and written homework in an introductory electricity and magnetism course. Our analysis examines the correlation between successful homework completion rates and exam performance as well as how changes in homework completion correlate with changes in exam scores for students with different physics aptitudes. On average, successfully completing many homework problems correlated to better exam scores only for students with high physics aptitude. On the other hand, all other students showed zero or even a negative correlation between successful homework completion and exam performance. Low- and medium-aptitude students who did more homework did no better and sometimes scored lower on exams than their low- and medium-aptitude peers who did less homework. Our work also shows that long-term changes in homework completion correlated to long-term changes in exam scores only for students with high physics aptitude, but not for students with medium or low aptitude. We offer several explanations for the disparity in homework learning gains, including cognitive load theory, ineffective homework strategies, and various mismatches between homework and exams. Several solutions are proposed to address these possible deficiencies in graded online and written homework.
Kontur, F. J.; de La Harpe, K.; Terry, N. B.
2015-06-01
We examine how student aptitudes impact how much students learn from doing graded online and written homework in an introductory electricity and magnetism course. Our analysis examines the correlation between successful homework completion rates and exam performance as well as how changes in homework completion correlate with changes in exam scores for students with different physics aptitudes. On average, successfully completing many homework problems correlated to better exam scores only for students with high physics aptitude. On the other hand, all other students showed zero or even a negative correlation between successful homework completion and exam performance. Low- and medium-aptitude students who did more homework did no better and sometimes scored lower on exams than their low- and medium-aptitude peers who did less homework. Our work also shows that long-term changes in homework completion correlated to long-term changes in exam scores only for students with high physics aptitude, but not for students with medium or low aptitude. We offer several explanations for the disparity in homework learning gains, including cognitive load theory, ineffective homework strategies, and various mismatches between homework and exams. Several solutions are proposed to address these possible deficiencies in graded online and written homework.
Runge, Alan Paul
1997-10-01
A traditional undergraduate physics course on mathematical methods has been redesigned to incorporate the use of Maplesp{sc {TM}}, a computer algebra program, during all aspects of the course. Topics covered were: complex number theory; series approximations; matrix theory; partial differentiation; vector algebra; and vector calculus. Five undergraduate students were enrolled, from sophomore to senior in academic class standing. A qualitative case study methodology was used to describe the changes in the course design resulting from the incorporation of Maplesp{sc {TM}} and their impact on the instruction of the course, and to determine the effects on the students' learning and development of problem solving skills in physics using Maplesp{sc {TM}} as a problem solving tool. The impact of using Maplesp{sc {TM}} on the number and types of interactions is presented. The entire semester long course was included in this study. Each class session is described in detail. Examples of the Maplesp{sc {TM}} materials used are given. The use of the Maplesp{sc {TM}} program was allowed on all homework and exams with each student having their own computer during class. Constraints were made so that the assessment emphasis remained on the mathematics and the conceptual understanding of the problem solving methods. All of the students demonstrated some level of proficiency in using Maplesp{TM} to solve the assigned problems. Strategies for effectively using Maplesp{TM} were presented and were individualized by the students. The students reported positive and negative impacts of using Maplesp{sc {TM}}. All of the students satisfactorily completed the course requirements, receiving final course grades from B to A+. All of them continued to voluntarily use Maplesp{sc {TM}} during the following semester. Instructional methods used included various lecture techniques without Maplesp{sc {TM}} assistance, lectures and demonstrations using only Maplesp{sc {TM}}, and student tasks
Directory of Open Access Journals (Sweden)
Lesego Tawana
2013-12-01
Full Text Available This research study’s aim was to track the paths of chemistry and mathematics in-service students studying for a degree at the University of Botswana who seemed to struggle with degree level concepts in their respective programmes despite holding diplomas in their fields. The authors are lecturers of both methodology and content courses in science and mathematics who became concerned about the seeminglyunderpreparedness of most in-service students for degree courses over the years. The study can be located within a social structuralist theoretical perspective where learning is viewed as a social entity, social structure referring to the ways people are interrelated or interdependent within their cultural mores as is the norm in an academic setting. The research team identified four categories of operational challenges that the students are most likely to face as university leaners, namely academic, social and emotional, economic and environmental challenges and these formed the basis on which the data collection process ensued. The qualitative methods paradigm was found to appropriate and the study was conducted within the framework of an action research approach. A qualitative research was relevant to the study because it had the capacity to enable the researchers to identify the cognitive views held by in-service students and the meanings they made of their experiences concerning their studies or the program (Hancock, 2004. The research sought to identify where the identified challenges emanated from with a view to make those involved in the academic paths of these learners to take heed of their problems. The study found that in-service learners are faced with all sorts of problems including lack of accommodation on campus, uncooperative lecturers, the university system which lumps them together with pre-service students making them academic prisoners, large class sizes which render learning a near impossibility for some, and the fast
Briley, Jason S.
2012-01-01
Ninety-five elementary pre-service teachers enrolled in a mathematics content course for elementary school teachers completed 3 surveys to measure mathematics teaching efficacy, mathematics self-efficacy, and mathematical beliefs. The pre-service teachers who reported stronger beliefs in their capabilities to teach mathematics effectively were…
Moscardini, Alfredo
1994-01-01
As the role of the modern engineer is markedly different from that of even a decade ago, the theme of engineering mathematics educa tion (EME) is an important one. The need for mathematical model ling (MM) courses and consideration of the educational impact of computer-based technology environments merit special attention. This book contains the proceeding of the NATO Advanced Research Workshop held on this theme in July 1993. We have left the industrial age behind and have entered the in formation age. Computers and other emerging technologies are penetrating society in depth and gaining a strong influence in de termining how in future society will be organised, while the rapid change of information requires a more qualified work force. This work force is vital to high technology and economic competitive ness in many industrialised countries throughout the world. Within this framework, the quality of EME has become an issue. It is expected that the content of mathematics courses taught in schools o...
Laursen, Sandra L.; Hassi, Marja-Liisa; Hough, Sarah
2016-02-01
This mixed-methods study describes classroom characteristics and student outcomes from university mathematics courses that are based in mathematics departments, targeted to future pre-tertiary teachers, and taught with inquiry-based learning (IBL) approaches. The study focused on three two-term sequences taught at two research universities, separately targeting elementary and secondary pre-service teachers. Classroom observation established that the courses were taught with student-centred methods that were comparable to those used in IBL courses for students in mathematics-intensive fields at the same institutions. To measure pre-service teachers' gains in mathematical knowledge for teaching, we administered the Learning Mathematics for Teaching (LMT) instrument developed by Hill, Ball and Schilling for in-service teacher professional development. Results from the LMT show that pre-service teachers made significant score gains from beginning to end of their course, while data from interviews and from surveys of learning gains show that pre-service teachers viewed their gains as relevant to their future teaching work. Measured changes on pre-/post-surveys of attitudes and beliefs were generally supportive of learning mathematics but modest in magnitude. The study is distinctive in applying the LMT to document pre-service teachers' growth in mathematical knowledge for teaching. The study also suggests IBL is an approach well suited to mathematics departments seeking to strengthen their pre-service teacher preparation offerings in ways consistent with research-based recommendations.
Deshler, Jessica; Fuller, Edgar
2016-01-01
Approximately 30% of students entering West Virginia University (WVU) are not ready for college mathematics. The WVU Department of Mathematics has been tasked with remediating these students and has worked over the last decade to find the most efficient way to teach the Pre-College Algebra Workshop; the prerequisite course students must complete…
Ellington, Aimee J.; Wilson, Jill H.; Nugent, Jeffrey S.
2011-01-01
This article details the use of tablet PCs in a mathematics content course for future Mathematics Specialists. Instructors used tablet PCs instead of a traditional whiteboard to capture demonstration and discussion. Students were grouped for collaborative problem solving and exploration exercises. Each group was provided with a tablet PC for…
Agyei, Douglas D.; Voogt, Joke M.
2015-01-01
This article explored the impact of strategies applied in a mathematics instructional technology course for developing technology integration competencies, in particular in the use of spreadsheets, in pre-service teachers. In this respect, 104 pre-service mathematics teachers from a teacher training programme in Ghana enrolled in the mathematics…
Cormas, Peter C.
2017-01-01
Preservice teachers in six sections (n = 87) of a sequenced, methodological and process-integrated elementary mathematics/science methods course were able to reconcile an issue centered on a similar area of epistemology. Preservice teachers participated in a science inquiry lesson on biological classification and a mathematics problem-solving…
Agyei, D.D.; Voogt, J.M.
2015-01-01
This article explored the impact of strategies applied in a mathematics instructional technology course for developing technology integration competencies, in particular in the use of spreadsheets, in pre-service teachers. In this respect, 104 pre-service mathematics teachers from a teacher training
Directory of Open Access Journals (Sweden)
Irina Carmen ANDREI
2015-09-01
Full Text Available The purpose of this paper is to set up a method to determine the missing engine design parameters (turbine inlet temperature T3T, airflow rate which significantly influence the jet engines thrust. The authors have introduced a new non-linear equation connecting the fan specific work with the temperature T3T, customized for turbofan. The method of chords, since it converges unconditionally, has been used for solving the non-linear equation of variable temperature T3T. An alternate method, based for the same relation between fan specific work and T3T, has been presented in purpose to determine airflow rate and fan pressure ratio. Two mixed flows turbofans have been considered as study cases. For case #1 it was determined a value comparable to the Turbomeca Larzac turbofan series 04-C6 and 04-C20 which power the AlphaJet machines (series A - Luftwaffe, series E - Dassault Dornier. For the F100-PW229 turbofan, as case #2, being given T3T, then have been determined the airflow rate, fan pressure ratio and fan specific work. After completing the mathematical model with the missing parameters, the performances of the engines at off-design regimes and the operational envelopes revealing i.e. the variations of thrust, specific thrust and fuel specific consumption with altitude and Mach number have been calculated.
Pierce, Kristin B.; Hernandez, Victor M.
2015-01-01
A quasi experimental study tested a contextual teaching and learning model for integrating reading and mathematics competencies through 13 introductory career and technical education (CTE) courses. The treatment group consisted of students in the 13 introductory courses taught by the CTE teachers who designed the units and the control group…
Schmind, Kendra K.; Blankenship, Erin E.; Kerby. April T.; Green, Jennifer L.; Smith, Wendy M.
2014-01-01
The statistical preparation of in-service teachers, particularly middle school teachers, has been an area of concern for several years. This paper discusses the creation and delivery of an introductory statistics course as part of a master's degree program for in-service mathematics teachers. The initial course development took place before the…
Gray, Kyle
2017-01-01
Preservice elementary teachers are often required to take an Earth Science content course as part of their teacher education program but typically enter the course with little knowledge of key Earth Science concepts and are uncertain in their ability to teach science. This study investigated whether completing an inquiry-based Earth Science course…
Kontur, F. J.; de La Harpe, K.; Terry, N. B.
2016-01-01
We reply to Rieger, Reinsberg, and Wieman's forgoing Comment [Phys. Rev. Phys. Educ. Res., Comment on "Benefits of completing homework for students with different aptitudes in an introductory electricity and magnetism course" 12, 028001 (2016)].
Caudill, Lester; Hill, April; Hoke, Kathy; Lipan, Ovidiu
2010-01-01
Funded by innovative programs at the National Science Foundation and the Howard Hughes Medical Institute, University of Richmond faculty in biology, chemistry, mathematics, physics, and computer science teamed up to offer first- and second-year students the opportunity to contribute to vibrant, interdisciplinary research projects. The result was not only good science but also good science that motivated and informed course development. Here, we describe four recent undergraduate research projects involving students and faculty in biology, physics, mathematics, and computer science and how each contributed in significant ways to the conception and implementation of our new Integrated Quantitative Science course, a course for first-year students that integrates the material in the first course of the major in each of biology, chemistry, mathematics, computer science, and physics.
Students’ Opinions on Administering Optional Online Quizzes in a two-year College Mathematics Course
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Harun ÇİĞDEM
2014-12-01
Full Text Available The aim of this study is to determine students’ opinions about optional online quiz used under the content of blended instruction. Blended instruction has been created using a combination of face-to-face instruction with web-based learning management system. This is a descriptive study. This study was conducted on students of Mathematics-I course at a military vocational college. Courses have been conducted in the classroom setting and MS Power Point presentations, lecture notes, and quizzes were presented to the students via the intranet. Optional online quizzes based unit with multiple-choice question item pool was provided for the benefit of students. In the end of the semester Online Quiz Evaluation Form was applied to students to determine their opinions on online quizzes. 103 students have filled out the form. Data was analyzed using frequency, mean and t-test. In general it has been found that students are undecided about online quizzes. According to findings of this study, students who have a computer, internet connection in their home, and the web-based exam experience were more positive than students who have not own a computer, internet connection in their home, and the web-based exam experience about online quizzes. The online quiz applications and question bank creation especially for Mathematics were quite time consuming. The most important advantages of online quiz applications are the reduction in the time required for to read the students’ quiz and effective use of resources.
Boyd, Soleil
2016-01-01
Preschool teachers are expected to engage young children in challenging and supportive mathematics learning. Rich and responsive language experiences in mathematics support children's language acquisition and engagement related to mathematics, however, such engaging experiences may be minimally available to many young children. Professional…
Incorporating Quantitative Reasoning in Common Core Courses: Mathematics for The Ghost Map
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John R. Jungck
2012-01-01
Full Text Available How can mathematics be integrated into multi-section interdisciplinary courses to enhance thematic understandings and shared common readings? As an example, four forms of quantitative reasoning are used to understand and critique one such common reading: Steven Berlin Johnson’s "The Ghost Map: The Story of London's Most Terrifying Epidemic - and How it Changed Science, Cities and the Modern World" (Riverhead Books, 2006. Geometry, statistics, modeling, and networks are featured in this essay as the means of depicting, understanding, elaborating, and critiquing the public health issues raised in Johnson’s book. Specific pedagogical examples and resources are included to illustrate applications and opportunities for generalization beyond this specific example. Quantitative reasoning provides a robust, yet often neglected, lens for doing literary and historical analyses in interdisciplinary education.
Implementing a flipped classroom approach in a university numerical methods mathematics course
Johnston, Barbara M.
2017-05-01
This paper describes and analyses the implementation of a 'flipped classroom' approach, in an undergraduate mathematics course on numerical methods. The approach replaced all the lecture contents by instructor-made videos and was implemented in the consecutive years 2014 and 2015. The sequential case study presented here begins with an examination of the attitudes of the 2014 cohort to the approach in general as well as analysing their use of the videos. Based on these responses, the instructor makes a number of changes (for example, the use of 'cloze' summary notes and the introduction of an extra, optional tutorial class) before repeating the 'flipped classroom' approach the following year. The attitudes to the approach and the video usage of the 2015 cohort are then compared with the 2014 cohort and further changes that could be implemented for the next cohort are suggested.
Expectations and implementations of the flipped classroom model in undergraduate mathematics courses
Naccarato, Emilie; Karakok, Gulden
2015-10-01
The flipped classroom model is being used more frequently in undergraduate mathematics courses. As with any new teaching model, in-depth investigations of both various implementation styles and how the new model improves student learning are needed. Currently, many practitioners have been sharing their implementations of this model. However, there has not yet been an investigation of the various implementations of the model to discern general trends in this movement. With this research goal in mind, we conducted a study exploring various implementations of the flipped classroom model by interviewing 19 faculty members who experienced using this model at 14 different institutes. Results indicate that participants had similar motivations for implementation; however, subsequent implementations were different. In addition, we share participants' perspectives on (a) student learning of pre-requisite, procedural and conceptual knowledge, and (b) how this particular model promotes such knowledge developments. Finally, we provide suggestions for future implementations and research regarding this particular teaching model.
Lectures on constructive mathematical analysis
Kushner, B A
1984-01-01
The basis of this book was a special course given by the author at the Mechanics-Mathematics Faculty of Moscow University. The material presumes almost no previous knowledge and is completely understandable to a reader who is in command of a standard course of mathematical analysis. There are an extensive bibliography and indexes which will be helpful to students.
A course in mathematical physics 3 quantum mechanics of atoms and molecules
Thirring, Walter
1981-01-01
In this third volume of A Course in Mathematical Physics I have attempted not simply to introduce axioms and derive quantum mechanics from them, but also to progress to relevant applications. Reading the axiomatic litera ture often gives one the impression that it largely consists of making refined axioms, thereby freeing physics from any trace of down-to-earth residue and cutting it off from simpler ways of thinking. The goal pursued here, however, is to come up with concrete results that can be compared with experimental facts. Everything else should be regarded only as a side issue, and has been chosen for pragmatic reasons. It is precisely with this in mind that I feel it appropriate to draw upon the most modern mathematical methods. Only by their means can the logical fabric of quantum theory be woven with a smooth structure; in their absence, rough spots would . inevitably appear, especially in the theory of unbounded operators, where the details are too intricate to be comprehended easily. Great care...
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Franco, Mónica
2016-02-01
Full Text Available Purpose: We report on a case of unilateral acute syphilitic posterior placoid chorioretinitis (ASPPC with spontaneous resolution of the lesions, and discuss the role of an altered versus adequate immune response as the major pathogenic factor.Methods: We describe a case of acute loss of visual acuity (VA in the left eye (LE in a 55-year-old healthy man.Results: The patient presented with VA of 20/20 in the right eye (RE and hand movements in the LE. Fundoscopy revealed a large yellowish placoid macular lesion with subretinal fluid in the LE, with no abnormalities detected in the RE. Fluorescein angiography showed early hypofluorescence with late staining in the affected area. The clinical findings progressed fast during the first week, with extension of the initial lesion outside the temporal retinal vascular arcades and the appearance of new lesions in the same eye. The patient abandoned the clinic for two weeks with no treatment. When observed again, VA of the LE had recovered to 20/20 and the lesions had completely resolved. Venereal disease research laboratory (VDRL and fluorescent treponemal antibody absorption (FTA-ABS tests results were positive and HIV antibody test titers negative. The diagnosis of ASPPC in the left eye was made. The patient accepted treatment with penicillin G only 45 days after the initial presentation. AV remained stable at 20/20 both eyes and no relapses of the lesions were observed during this period without therapy. The patient was followed for 3 months after treatment. He remained asymptomatic and the ophthalmic examination was unremarkable. Conclusions: The pathogenesis of ASPPC is still not understood. Our case showed a sequential pattern of the chorioretinal lesions, with initial aggravation and complete posterior spontaneous resolution, showing the natural course of the disease. These findings suggest the presence of an adequate ocular immune response in patients with ASPPC, not supporting the initially
Mathematical modeling of the complete thermodynamic cycle of a new Atkinson cycle gas engine
International Nuclear Information System (INIS)
Shojaeefard, Mohammad Hassan; Keshavarz, Mojtaba
2015-01-01
The Atkinson cycle provides the potential to increase the efficiency of SI engines using overexpansion concept. This also will suggest decrease in CO_2 generation by internal combustion engine. In this study a mathematical modeling of complete thermodynamic cycle of a new two-stroke Atkinson cycle SI engine will be presented. The mathematical modeling is carried out using two-zone combustion analysis in order to make the model predict exhaust emission so that its values could be compared with the values of conventional SI engine. The model also is validated against experimental tests in that increase in efficiency is achieved compared to conventional SI engines. - Highlights: • The complete cycle model for the rotary Atkinson engine was developed. • Comparing the results with experimental data shows good model validity. • The model needs further improvement for the scavenging phase. • There is 5% increment in thermal efficiency with new engine compared to conventional SI engines.
Engle, Deborah; Mankoff, Chris; Carbrey, Jennifer
2015-01-01
Since Massive Open Online Courses (MOOCs) are accessible by anyone in the world at no cost, they have large enrollments that are conducive to educational research. This study examines students in the Coursera MOOC, Introductory Human Physiology. Of the 33,378 students who accessed the course, around 15,000 students responded to items on the…
Zetriuslita Zetriuslita; Wahyudin Wahyudin; Jarnawi Afgani Dahlan
2018-01-01
This research aims to find out the association amongMathematical Critical Thinking (MCT) ability, Mathematical Communication, and Mathematical Curiosity Attitude (MCA) as the impact of applying Problem-Based Learning Cognitive Conflict Strategy(PBLCCS) in Number Theory course. The research method is correlative study. The instruments include a test for mathematical critical thinking skill and communication, and questionnaire to obtain the scores of mathematical curiosity attitude. The finding...
Mathematical models of incompressible fluids as singular limits of complete fluid systems
Czech Academy of Sciences Publication Activity Database
Feireisl, Eduard
2010-01-01
Roč. 78, č. 2 (2010), s. 523-560 ISSN 1424-9286 R&D Projects: GA ČR GA201/08/0315 Institutional research plan: CEZ:AV0Z10190503 Keywords : scale analysis * Navier-Stokes-Fourier system * incompressible limit Subject RIV: BA - General Mathematics Impact factor: 0.933, year: 2010 http://link.springer.com/article/10.1007%2Fs00032-010-0128-1
PRELIMINARY ASSESSMENT OF FAMILIARITY WITH CONCEPTS MATHEMATICAL GEOGRAPHY OF COURSE UNDERGRADUATE
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Luis Alberto Martins Palhares de Melo
2015-12-01
Full Text Available The objective of the work described in this paper was to conduct a preliminary assessment about the familiarity with basic mathematical concepts by undergraduate students of Geography. This work assumed that the domain of basic concepts of mathematics is important for the students for the real understanding of quantification techniques applied to geography, used for better understanding about geographical space. Therefore, it was applied a questionnaire with six questions related to some basic mathematical concepts. 384 questionnaires were applied in undergraduate courses in geography, in six public institutions of higher education and a private college, located in the Federal District, Goias, Tocantins, Mato Grosso do Sul, Paraná and Rio Grande do Sul in May / 2013 June / 2013 August / 2013 and April / 2014. The results showed that the 384 respondents answered correctly on average 2,3 questions of an amount of six questions. This may mean that a priori there is little familiarity of undergraduate Geography students with basic concepts of mathematics. O objetivo do trabalho descrito neste artigo foi realizar uma avaliação preliminar a respeito da familiaridade com conceitos matemáticos em nível de Educação Básica por parte de graduandos de cursos de Geografia. Essa investigação partiu do princípio de que o domínio de conceitos básicos de Matemática é importante para a capacitação em técnicas de quantificação em Geografia, que por sua vez auxiliam o geógrafo, bacharel ou licenciado, a entender melhor o espaço geográfico. Para tanto foi utilizado o instrumento questionário com seis questões versando sobre alguns conceitos matemáticos básicos em nível de Educação Básica. Foram aplicados 384 questionários em cursos de graduação em Geografia, em seis instituições públicas de ensino superior e uma faculdade particular, localizadas no Distrito Federal, Goiás, Tocantins, Mato Grosso do Sul, Paraná e Rio Grande do
Directory of Open Access Journals (Sweden)
TURČÁNI, Milan
2013-03-01
Full Text Available Nowadays, quality Mathematical basis - Informatics is an inherent part of study. Mathematical basis is provided by Discrete Mathematics that is taught as a compulsory subject in stated study program in the Department of Mathematics. Authors clarify significance and importance of simple thematic units of subject Discrete Mathematics in teaching technical-system subjects in study programme Applied Informatics. Mentioned subject is being taught in first year of University study and knowledge that students acquire during the study of this course are the "cornerstone" for their further development in technical-system study. Justness and importance of individual topics were analysed based on the evaluation of questionnaires, in which pedagogues teaching professional IT subjects alloted weighted coefficients to individual thematic units. Weighted coefficients were alloted based on the significance of the given topic of the subject Discrete Math, with regard to the IT subject they are teaching. Upon designing the e-course, experience with the creation of linear and branch teaching software were used. For the simulation of the transition of students through individual lessons as well as the whole course, authors employed the method of the teaching process simulation using Petri nets.
Kim, ChanMin; Hodges, Charles B.
2012-01-01
We designed and developed an emotion control treatment and investigated its effects on college students' academic emotions, motivation, and achievement in an online remedial mathematics course. The treatment group showed more positive emotions of enjoyment and pride than the control group. The treatment group also showed a higher level of…
Duncan, Hollis; Dick, Thomas
2000-01-01
Describes the Treisman model which involves supplemental workshops in which college students solve problems in collaborative learning groups. Reports on the effectiveness of Math Excel, an implementation of the Treisman model for introductory mathematics courses at Oregon State University over five academic terms. Reveals a significant effect on…
Hawkins, Abigail; Graham, Charles R.; Sudweeks, Richard R.; Barbour, Michael K.
2013-01-01
This study examined the relationship between students' perceptions of teacher-student interaction and academic performance at an asynchronous, self-paced, statewide virtual high school. Academic performance was measured by grade awarded and course completion. There were 2269 students who responded to an 18-item survey designed to measure student…
Rieger, G. W.; Reinsberg, S. A.; Wieman, C. E.
2016-01-01
We present a comment on "Benefits of completing homework for students with different aptitudes in an introductory electricity and magnetism course", by F. J. Kontur, K. de La Harpe, and N. B. Terry PRST-PER 11, 010105 (2015). Our data show that the conclusions Kontur and coworkers draw from their data may not be generally applicable.
Buchheister, Kelley; Jackson, Christa; Taylor, Cynthia E.
2014-01-01
Traditionally, teacher education programs have placed little emphasis on preparing mathematics teachers to work with students who struggle in mathematics. Therefore, it is crucial that mathematics teacher educators explicitly prepare prospective teachers to instruct students who struggle with mathematics by providing strategies and practices that…
Cho, Moon-Heum; Heron, Michele L.
2015-01-01
Enrollment in online remedial mathematics courses has increased in popularity in institutions of higher learning; however, students unskilled in self-regulated learning (SRL) find online remedial mathematics courses particularly challenging. We investigated the role of SRL, specifically motivation, emotion, and learning strategies, in students'…
Qudah, Ahmad Hassan
2016-01-01
The study aimed to detect the effect of using an educational site on the Internet in the collection of bachelor's students in the course of basic concepts in mathematics at Al al-Bayt University, and the study sample consisted of all students in the course basic concepts in mathematics in the first semester of the academic year 2014/2015 and the…
Coester, Lee Anne
2010-01-01
This study was designed to gather input from early career elementary teachers with the goal of finding ways to improve elementary mathematics methods courses. Multiple areas were explored including the degree to which respondents' elementary mathematics methods course focused on the NCTM Process Standards, the teachers' current standards-based…
The Relationship between Upper-Level Math Course Completion and ACT Math Sub Score Achievement
Dial, Larry Michael
2016-01-01
More high school students are taking the ACT and more students are taking it at an earlier age. States such as Missouri are now testing all public and charter school students during their junior year to use the ACT as a formative assessment to drive discussions about student schedules, plans of study, and course offerings. With more data from more…
Giguere, Louis
2009-01-01
In 1997 the British Columbia Open University (BCOU) adopted a virtualization strategy based primarily on twinning off-line independent study distance education courses (textbook-based with study guide and telephone and e-mail tutor support) with alternate online versions (textbook-based with integrated conferencing and communications provided…
Byrd, Alex Preston; Anderson, Ryan G.; Paulsen, Thomas H.; Shultz, Matthew J.
2015-01-01
Preparing teachers to teach agricultural mechanics is a difficult task since many topic areas are included in the curriculum. This study examines the effect of the number of college courses taken on a teacher's perceived competence to teach agricultural mechanics. Agricultural education teachers in Iowa ranked themselves according to their…
A Study of Student Completion Strategies in a Likert-Type Course Evaluation Survey
Gee, Nick
2017-01-01
This article investigates the motivations and strategies employed by respondents to a Likert-style course evaluation at a UK university. These attitude surveys, generating large amounts of quantitative data, are commonly used in quality assurance procedures across UK higher education institutions. Similar student survey results are now scrutinised…
Discriminating Factors between Completers of and Dropouts from Online Learning Courses
Lee, Youngju; Choi, Jaeho; Kim, Taehyun
2013-01-01
This study examined the differences between persistent and dropout students enrolled in an online course with five factors: support from family and work, academic locus of control, academic self-efficacy, time and environment management skills, and metacognitive self-regulation skills. Moreover, this study investigated the most significant factors…
Risnawati; Khairinnisa, S.; Darwis, A. H.
2018-01-01
The purpose of this study was to develop a CORE model-based worksheet with recitation task that were valid and practical and could facilitate students’ communication skills in Linear Algebra course. This study was conducted in mathematics education department of one public university in Riau, Indonesia. Participants of the study were media and subject matter experts as validators as well as students from mathematics education department. The objects of this study are students’ worksheet and students’ mathematical communication skills. The results of study showed that: (1) based on validation of the experts, the developed students’ worksheet was valid and could be applied for students in Linear Algebra courses; (2) based on the group trial, the practicality percentage was 92.14% in small group and 90.19% in large group, so the worksheet was very practical and could attract students to learn; and (3) based on the post test, the average percentage of ideals was 87.83%. In addition, the results showed that the students’ worksheet was able to facilitate students’ mathematical communication skills in linear algebra course.
A course in mathematical physics 1 and 2 classical dynamical systems and classical field theory
Thirring, Walter
1992-01-01
The last decade has seen a considerable renaissance in the realm of classical dynamical systems, and many things that may have appeared mathematically overly sophisticated at the time of the first appearance of this textbook have since become the everyday tools of working physicists. This new edition is intended to take this development into account. I have also tried to make the book more readable and to eradicate errors. Since the first edition already contained plenty of material for a one semester course, new material was added only when some of the original could be dropped or simplified. Even so, it was necessary to expand the chap ter with the proof of the K-A-M Theorem to make allowances for the cur rent trend in physics. This involved not only the use of more refined mathe matical tools, but also a reevaluation of the word "fundamental. " What was earlier dismissed as a grubby calculation is now seen as the consequence of a deep principle. Even Kepler's laws, which determine the radii of the ...
Newton, Bill
1987-01-01
Argues that the use of computer technologies in secondary schools should change the nature of mathematics education. Urges the rethinking of the uses of traditional paper-and-pencil computations. Suggests some computer applications for elementary algebra and for problem solving in arithmetic and calculus. (TW)
Analyzing the Teaching of Advanced Mathematics Courses via the Enacted Example Space
Fukawa-Connelly, Timothy Patrick; Newton, Charlene
2014-01-01
Examples are believed to be very important in developing conceptual understanding of mathematical ideas, useful both in mathematics research and instruction (Bills & Watson in "Educational Studies in Mathematics" 69:77-79, 2008; Mason & Watson, 2008; Bills & Tall, 1998; Tall & Vinner, 1981). In this study, we draw on the…
The Influence of a Reform-Based Mathematics Methods Course on Preservice Teachers' Beliefs
Evans, Brian R.; Leonard, Jacqueline; Krier, Kathleen; Ryan, Steve
2013-01-01
Beliefs about teaching mathematics and urban students' ability to learn mathematics are often overlooked in the discourse on highly qualified teachers. Altering teacher experiences has the potential to change their beliefs. It was found in this qualitative case study that preservice teachers' beliefs about teaching mathematics to urban students…
Goldberg, Lynette R; Bell, Erica; King, Carolyn; O'Mara, Ciaran; McInerney, Fran; Robinson, Andrew; Vickers, James
2015-03-26
The completion rates for Massive Open Online Courses (MOOCs) generally are low (5-10%) and have been reported to favour participants with higher (typically tertiary-level) education. Despite these factors, the flexible learning offered by a MOOC has the potential to provide an accessible educational environment for a broad spectrum of participants. In this regard, the Wicking Dementia Research and Education Centre has developed a MOOC on dementia that is evidence-based and intended to address this emerging major global public health issue by providing educational resources to a broad range of caregivers, people with dementia, and health care professionals. The Understanding Dementia MOOC was designed specifically to appeal to, and support, adult learners with a limited educational background. The nine-week course was presented in three units. Participants passed a quiz at the end of each unit to continue through the course. A series of discussion boards facilitated peer-to-peer interactions. A separate "Ask an Expert" discussion board also was established for each unit where participants posted questions and faculty with expertise in the area responded. Almost 10,000 people from 65 countries registered; 4,409 registrants engaged in the discussion boards, and 3,624 (38%) completed the course. Participants' level of education ranged from postgraduate study to a primary (elementary) school education. Participants without a university education (vocational certificate and below) were as likely as those with a university education to complete the course (χ(2) = 2.35, df = 6, p = 0.88) and to engage in the online discussions (F[6, 3799] = 0.85, p = 0.54). Further, participants who completed the MOOC engaged in significantly more discussion board posts than participants who did not complete the course (t = 39.60, df = 4407, p education suggest that MOOCs can be successfully developed and delivered to students from diverse educational
Caudill, Lester; Hill, April; Hoke, Kathy; Lipan, Ovidiu
2010-01-01
Funded by innovative programs at the National Science Foundation and the Howard Hughes Medical Institute, University of Richmond faculty in biology, chemistry, mathematics, physics, and computer science teamed up to offer first- and second-year students the opportunity to contribute to vibrant, interdisciplinary research projects. The result was not only good science but also good science that motivated and informed course development. Here, we describe four recent undergraduate research proj...
INFORMATIONAL-METHODICAL SUPPORT OF THE COURSE «MATHEMATICAL LOGIC AND THEORY OF ALGORITHMS»
Directory of Open Access Journals (Sweden)
Y. I. Sinko
2010-06-01
Full Text Available In this article the basic principles of training technique of future teachers of mathematics to foundations of mathematical logic and theory of algorithms in the Kherson State University with the use of information technologies are examined. General description of functioning of the methodical system of learning of mathematical logic with the use of information technologies, in that variant, when information technologies are presented by the integrated specialized programmatic environment of the educational purpose «MatLog» is given.
Eringen, A Cemal
2013-01-01
Continuum Physics: Volume 1 - Mathematics is a collection of papers that discusses certain selected mathematical methods used in the study of continuum physics. Papers in this collection deal with developments in mathematics in continuum physics and its applications such as, group theory functional analysis, theory of invariants, and stochastic processes. Part I explains tensor analysis, including the geometry of subspaces and the geometry of Finsler. Part II discusses group theory, which also covers lattices, morphisms, and crystallographic groups. Part III reviews the theory of invariants th
Context problems in realistic mathematics education: A calculus course as an example
Gravemeijer, K.P.E.; Doorman, L.M.
1999-01-01
This article discusses the role of context problems, as they are used in the Dutch approach that is known as realistic mathematics education (RME). In RME, context problems are intended for supporting a reinvention process that enables students to come to grips with formal mathematics. This approach
Czech Academy of Sciences Publication Activity Database
Holubec jr., L.; Botterlich, N.; Topolčan, O.; Finek, J.; Pikner, R.; Pecen, Ladislav; Holubec, L.
2002-01-01
Roč. 23, Suppl.1 (2002), s. 57 ISSN 1010-4283. [Meeting of the International Society for Oncodevelopmental Biology and Medicine /30./. 08.09.2002-12.09.2002, Boston] R&D Projects: GA MŠk ME 438 Institutional research plan: AV0Z1030915 Keywords : tumor markers * colorectal CA * mathematical classification Subject RIV: BA - General Mathematics
Moving beyond Solving for "x": Teaching Abstract Algebra in a Liberal Arts Mathematics Course
Cook, John Paul
2015-01-01
This paper details an inquiry-based approach for teaching the basic notions of rings and fields to liberal arts mathematics students. The task sequence seeks to encourage students to identify and comprehend core concepts of introductory abstract algebra by thinking like mathematicians; that is, by investigating an open-ended mathematical context,…
Directory of Open Access Journals (Sweden)
Luis Rojas-Torres
2014-09-01
Full Text Available This paper summarizes a study conducted in 2013 with the purpose of predicting the failure rate of math courses taken by Pharmacy, Mathematics, Actuarial Science, Physics and Meteorology students at Universidad de Costa Rica (UCR. Using the Logistics Regression statistical techniques applied to the 2010 cohort, failure rates were predicted of students in the aforementioned programs in one of their Math introductory courses (Calculus 101 for Physics and Meteorology, Math Principles for Mathematics and Actuarial Science and Applied Differential Equations for Pharmacy. For these models, the UCR admission average, the student’s genre, and the average correct answers in the Quantitative Skills Test were used as predictor variables. The most important variable for all models was the Quantitative Skills Test, and the model with the highest correct classification rate was the Logistics Regression. For the estimated Physics-Meteorology, Pharmacy and Mathematics-Actuarial Science models, correct classifications were 89.8%, 73.6%, and 93.9%, respectively.
Martinez, Mara Vanina; Superfine, Alison Castro; Carlton, Theresa; Dasgupta, Chandan
2015-01-01
This paper focuses on results from a study conducted with two cohorts of pre-service teachers (PSTs) in a video case-based mathematics methods course at a large Midwestern university in the US. The motivation for this study was to look beyond whether or not PSTs pay attention to mathematical thinking of students, as shown by previous studies when…
Developmental Mathematics Students: Who are They and What is Their Mathematics Self-Efficacy?
Ryan Baxter; Alan Bates; Adel Tawfig Al-Bataineh
2016-01-01
The purpose of this quantitative study was to determine differences in developmental mathematics students’ self-efficacy within the demographic data from the survey. Data from a sample of 240 Intermediate Algebra students at a single four-year university using the Mathematics Self-Efficacy Results indicate that males possess higher levels of mathematics self-efficacy and confidence with their mathematical abilities than females. Students who completed a lower developmental mathematics course ...
International Nuclear Information System (INIS)
Dunn, W.E.; Policastro, A.J.; Paddock, R.A.
1975-08-01
This report evaluates mathematical models that may be used to predict the flow and temperature distributions resulting from heated surface discharges from power-plant outfalls. Part One discusses the basic physics of surface-plume dispersion and provides a critical review of 11 of the most popular and promising plume models developed to predict the near- and complete-field plume. Part Two compares predictions from the models to prototype data, laboratory data, or both. Part Two also provides a generic discussion of the issues surrounding near- and complete-field modeling. The principal conclusion of the report is that the available models, in their present stage of development, may be used to give only general estimates of plume characteristics; precise predictions are not currently possible. The Shirazi-Davis and Pritchard (No. 1) models appear superior to the others tested and are capable of correctly predicting general plume characteristics. (The predictions show roughly factor-of-two accuracy in centerline distance to a given isotherm, factor-of-two accuracy in plume width, and factor-of-five accuracy in isotherm areas.) The state of the art can best be improved by pursuing basic laboratory studies of plume dispersion along with further development of numerical-modeling techniques
Thompson, E. David; Bowling, Bethany V.; Markle, Ross E.
2018-02-01
Studies over the last 30 years have considered various factors related to student success in introductory biology courses. While much of the available literature suggests that the best predictors of success in a college course are prior college grade point average (GPA) and class attendance, faculty often require a valuable predictor of success in those courses wherein the majority of students are in the first semester and have no previous record of college GPA or attendance. In this study, we evaluated the efficacy of the ACT Mathematics subject exam and Lawson's Classroom Test of Scientific Reasoning in predicting success in a major's introductory biology course. A logistic regression was utilized to determine the effectiveness of a combination of scientific reasoning (SR) scores and ACT math (ACT-M) scores to predict student success. In summary, we found that the model—with both SR and ACT-M as significant predictors—could be an effective predictor of student success and thus could potentially be useful in practical decision making for the course, such as directing students to support services at an early point in the semester.
International Nuclear Information System (INIS)
Demazure, M.
1988-01-01
The 1988 progress report of the Mathematics center (Polytechnic School, France), is presented. The Center is composed of different research teams: analysis, Riemann geometry, group theory, formal calculus and algorithm geometry, dynamical systems, topology and singularity. For each team, the members, the research topics, the national and international cooperations, are given. The papers concerning the investigations carried out in 1988, are listed [fr
Directory of Open Access Journals (Sweden)
Maria Sergeevna Artjukhina
2015-11-01
Full Text Available In article ways of self-updating of students are offered it is aware of training in mathema-tics, by means of application of interactive technologies. Self-updating trained during training in mathematics at the higher school it is aimed at the development of integrative qualities of the personality, such as self-development, self-determination, self-checking, development of the creative potential. Mathematical education owing to the features, allows to construct the educational process directed not only on mathematical preparation, but also on self-updating of the identity of the student. The most expedient for a solution of the problem of self-updating of students it is aware of mathematics, fragmentary or complete introduction of interactive training is. Training in active dialogue interaction of all subjects of educational process in the information educational environment. Interactive interaction allows to develop personal and interpersonal skills, abilities to prove decisions, to distribute and carry out certain roles.
Using Performance Tasks to Improve Quantitative Reasoning in an Introductory Mathematics Course
Kruse, Gerald; Drews, David
2013-01-01
A full-cycle assessment of our efforts to improve quantitative reasoning in an introductory math course is described. Our initial iteration substituted more open-ended performance tasks for the active learning projects than had been used. Using a quasi-experimental design, we compared multiple sections of the same course and found non-significant…
Gorev, Pavel M.; Masalimova, Alfiya R.
2017-01-01
The article is aimed at describing one of the possible interdisciplinary courses for students of the 7-9 classes of the basic school connecting mathematics with natural sciences and the study of such courses role in the formation and development of meta-subject competencies of students. The leading method for this is the modeling of…
Kalchman, Mindy; Kozoll, Richard H.
2017-01-01
Methods for teaching early childhood mathematics and science are often addressed in a single, dual-content course. Approaches to teaching this type of course include integrating the content and the pedagogy of both subjects, or keeping the subject areas distinct. In this article, the authors discuss and illustrate their approach to such a combined…
International Nuclear Information System (INIS)
Dunn, W.E.; Policastro, A.J.; Paddock, R.A.
1975-05-01
This report evaluates mathematical models that may be used to predict the flow and temperature distributions resulting from heated surface discharges from power-plant outfalls. Part One discusses the basic physics of surface-plume dispersion and provides a critical review of 11 of the most popular and promising plume models developed to predict the near- and complete-field plume. The principal conclusion of the report is that the available models, in their present stage of development, may be used to give only general estimates of plume characteristics; precise predictions are not currently possible. The Shirazi-Davis and Pritchard (No. 1) models appear superior to the others tested and are capable of correctly predicting general plume characteristics. (The predictions show roughly factor-of-two accuracy in centerline distance to a given isotherm, factor-of-two accuracy in plume width, and factor-of-five accuracy in isotherm areas.) The state of the art can best be improved by pursuing basic laboratory studies of plume dispersion along with further development of numerical-modeling techniques
CSIR Research Space (South Africa)
Herselman, Marlien
2017-10-01
Full Text Available . This TPD course was designed for teaching teachers to use mobile technology to enhance their classroom practice. Through several studies which included Information and Communication Technology (ICT) in education it became obvious, that the teacher cannot...
Keib, Carrie N; Cailor, Stephanie M; Kiersma, Mary E; Chen, Aleda M H
2017-07-01
Nurses need a sound education in research and evidence-based practice (EBP) to provide patients with optimal care, but current teaching methods could be more effective. To evaluate the changes in nursing students 1) perceptions of research and EBP, 2) confidence in research and EBP, and 3) interest in research participation after completing a course in research and EBP. A pre-post assessment design was utilized to compare changes in students. This project was conducted at a small, private liberal arts institution with Bachelor of Science (BSN) students. Two cohorts of third-year BSN students (Year 1 N=55, Year 2 N=54) who were taking a required, semester-long Nursing Research and EBP course. Students' perceptions of and confidence in research and EBP were assessed pre- and post-semester using the Confidence in Research and EBP survey, which contained 7 demographic items, 9 Research Perceptions items, and 19 Confidence in Research items (5-point Likert scale; 1=Not at all confident, 5=Extremely confident). Two years of data were collected and analyzed in SPSS v.24.0. Wilcoxon signed-ranks tests and Mann-Whitney-U tests were utilized to examine the data. Students had significant improvements in perceptions of and confidence in research and EBP (pnursing practice. Copyright © 2017. Published by Elsevier Ltd.
Mathematical Skills in Undergraduate Students. A Ten-Year Survey of a Plant Physiology Course
Llamas, A.; Vila, F.; Sanz, A.
2012-01-01
In the health and life sciences and many other scientific disciplines, problem solving depends on mathematical skills. However, significant deficiencies are commonly found in this regard in undergraduate students. In an attempt to understand the underlying causes, and to improve students' performances, this article describes a ten-year survey…
Clickers and Classroom Voting in a Transition to Advanced Mathematics Course
Lockard, Shannon R.; Metcalf, Rebecca C.
2015-01-01
Clickers and classroom voting are used across a number of disciplines in a variety of institutions. There are several papers that describe the use of clickers in mathematics classrooms such as precalculus, calculus, statistics, and even differential equations. This paper describes a method of incorporating clickers and classroom voting in a…
Smith, Michelle L; Gurenlian, JoAnn R; Freudenthal, Jacqueline J; Farnsworth, Tracy J
2016-05-01
The aim of this study was to define the extent to which leadership and leadership skills are taught in dental hygiene degree completion programs by comparing stand-alone leadership courses/hybrid programs with programs that infuse leadership skills throughout the curricula. The study involved a mixed-methods approach using qualitative and quantitative data. Semi-structured interviews were conducted with program directors and faculty members who teach a stand-alone leadership course, a hybrid program, or leadership-infused courses in these programs. A quantitative comparison of course syllabi determined differences in the extent of leadership content and experiences between stand-alone leadership courses and leadership-infused curricula. Of the 53 U.S. dental hygiene programs that offer degree completion programs, 49 met the inclusion criteria, and 19 programs provided course syllabi. Of the program directors and faculty members who teach a stand-alone leadership course or leadership-infused curriculum, 16 participated in the interview portion of the study. The results suggested that competencies related to leadership were not clearly defined or measurable in current teaching. Reported barriers to incorporating a stand-alone leadership course included overcrowded curricula, limited qualified faculty, and lack of resources. The findings of this study provide a synopsis of leadership content and gaps in leadership education for degree completion programs. Suggested changes included defining a need for leadership competencies and providing additional resources to educators such as courses provided by the American Dental Education Association and the American Dental Hygienists' Association.
Ben-Chaim, David; Zoller, Uri
2001-06-01
This study focuses on the assessment of students' (N=138) versus their teachers' (N=8) self-perception of the latter's personal style (PS) in the context of science and mathematics teaching in college; it uses the Personal Style Questionnaire and structured interviews for this purpose. The teacher's preferred (the ideal) and the actual personal style profiles thus obtained indicate that there is a good correspondence between the students' and teachers' perceptions concerning the preferred personal style of teachers. It also indicates that the students assess quite adequately the actual PS of their teachers. Regarding the significance of the association between the students' preferred and the teachers' actual PS in College science and mathematics teaching for effective learning, the self-modification of PS by reflective prospective and in-service science teachers is recommended.
Michaluk, Lynnette; Stoiko, Rachel; Stewart, Gay; Stewart, John
2018-04-01
Elementary teachers often hold inaccurate beliefs about the Nature of Science (NoS) and have negative attitudes toward science and mathematics. Using a pre-post design, the current study examined beliefs about the NoS, attitudes toward science and mathematics, and beliefs about the teaching of mathematics and science in a large sample study ( N = 343) of pre-service teachers receiving a curriculum-wide intervention to improve these factors in comparison with Science, Technology, Engineering, and Mathematics (STEM) and non-STEM majors in other physics courses ( N = 6697) who did not receive the intervention, over a 10-year period. Pre-service teachers evidenced initially more negative attitudes about mathematics and science than STEM majors and slightly more positive attitudes than non-STEM majors. Their attitudes toward mathematics and science and beliefs about the NoS were more similar to non-STEM than STEM majors. Pre-service teachers initially evidenced more positive beliefs about the teaching of mathematics and science, and their beliefs even increased slightly over the course of the semester, while these beliefs in other groups remained the same. Beliefs about the NoS and the teaching of mathematics and science were significantly negatively correlated for STEM and non-STEM majors, but were not significantly correlated for pre-service teachers. Beliefs about the NoS and attitudes toward mathematics and science were significantly positively correlated for both pre-service teachers and STEM students pursing the most mathematically demanding STEM majors. Attitudes toward science and mathematics were significantly positively correlated with accurate beliefs about the teaching of mathematics and science for all student groups.
Developing Compressed Beginning and Intermediate Algebra Courses
Walker, Sylvia E.
2017-01-01
The purpose of this project was two-fold. First, it would provide an opportunity for students to complete the developmental math course sequence more quickly, thereby enabling students to proceed to a college-level mathematics course sooner. To accomplish this, the classroom was designed with computer-assisted homework courses that blended…
Hatch, Mary Jacqueline
In the winter of 1965, an experimental course in Elementary Number Theory was presented to a 6th grade class in the Hosmer School, Watertown, Massachusetts. Prior to the introduction of the present material, students had been exposed in class to such topics from the University of Illinois Arithmetic Project as lattices, number lines, frame…
AN ADVANCED PLACEMENT COURSE IN ANALYTIC GEOMETRY AND CALCULUS (MATHEMATICS XV X AP).
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…
Exploring boot camps for ‘gatekeeper’ service courses in mathematics
Directory of Open Access Journals (Sweden)
Anita Campbell
2015-11-01
Full Text Available Pressure to increase the throughput of university students in ethical ways has been a catalyst for innovations to improve learning and student success. Student dropout occurs mostly in the first year of study and poor performance is a major contributor to dropout even if the underlying reason for the poor performance is not academic under-preparedness. This article discusses the design and implementation of a mathematics tutored reassessment programme (TRP or ‘boot camp’ to improve the pass rate of students writing supplementary examinations for first year engineering mathematics. Interviews with students and tutors suggest that the TRP cultivated positive affective changes in students. A notable result from this case study was that students who qualified for a reassessment with marks in the range 40%–44% (and who would not normally have been granted a supplementary examination outperformed students qualifying with marks of 45%–49%, for whom attendance at the TRP was optional. Theoretical motivations for five principles guiding the design of the TRP are discussed.
ITEM ANALYSIS FOR FINAL EXAM QUESTIONS OF ENGINEERING MATHEMATICS COURSE (VECTOR CALCULUS IN UKM
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NURYAZMIN AHMAT ZAINUR
2016-11-01
Full Text Available Evaluation of course outcome is one of the important elements in assessing students’ performance in higher institutions. Most of the courses depend on examination result as a medium to evaluate the level of students’ performances. In this study, the final exam questions of Vector Calculus course KKKQ1123 is being used to assess the difficulty index and discrimination index. 80 students from Department of Mechanical and Materials (JKMB were involved in this study. This study found that the range of difficulty index is between 0.2 and 0.8, where the question that was categorized as difficult is question number 6 whereas for easy questions is question number 3. Meanwhile the range obtained for discrimination index was in the acceptable range, that is, between 0.2 and 0.6 which indicates that the exam questions are good. With this study, it is hope that it will guide the lecturers in constructing and crafting a good and reliable exam questions consistent with the level of student's ability.
Plunk, Andrew D; Tate, William F; Bierut, Laura J; Grucza, Richard A
2014-06-01
Mathematics and science course graduation requirement (CGR) increases in the 1980s and 1990s might have had both intended and unintended consequences. Using logistic regression with Census and American Community Survey (ACS) data ( n = 2,892,444), we modeled CGR exposure on (a) high school dropout, (b) beginning college, and (c) obtaining any college degree. Possible between-groups differences were also assessed. We found that higher CGRs were associated with higher odds to drop out of high school, but results for the college-level outcomes varied by group. Some were less likely to enroll, whereas others who began college were more likely to obtain a degree. Increased high school dropout was consistent across the population, but some potential benefit was also observed, primarily for those reporting Hispanic ethnicity.
Abrams, Gina Baral; Kolligian, John; Mills, Douglas Lane; DeJong, William
2011-11-01
AlcoholEdu® for College and other computer-based education programs have been developed to reduce alcohol use and related problems among students. This study investigated whether the failure of incoming first-year students to complete AlcoholEdu predicts future high-risk drinking that requires medical attention. A review of clinical records kept by a single university's health service identified 684 undergraduates (classes of 2007-2011) who had presented for an alcohol event (September 2003 through June 2008). We used survival analysis to determine whether students who partially completed the course or failed to take it were disproportionately represented among student patients who presented with elevated blood alcohol concentration (BAC). Students who failed to take the online course were 4.64 times more likely than those who completed it to experience an alcohol event (p students who had partially completed the course were 1.52 times more likely (p alcohol education and gender were not significantly related to students' measured BAC level. Students who had completed AlcoholEdu were less likely to present for an alcohol event than were students who partially completed or failed to take the course. Campus administrators should consider whether students who fail to complete an online alcohol course should be flagged for more focused interventions (e.g., brief motivational interview, mandatory education classes). This is the first study to show a relationship between first-year college students' non-completion of an online alcohol course and subsequent high-risk drinking that requires medical attention.
Serin, Mehmet Koray; Incikabi, Semahat
2017-01-01
Mathematics educators have reported on many issues regarding students' mathematical education, particularly students who received mathematics education at different departments such as engineering, science or primary school, including their difficulties with mathematical concepts, their understanding of and preferences for mathematical concepts.…
Dragalin, A G
1988-01-01
This monograph is intended to present the most important methods of proof theory in intuitionistic logic, assuming the reader to have mastered an introductory course in mathematical logic. The book starts with purely syntactical methods based on Gentzen's cut-elimination theorem, followed by intuitionistic arithmetic where Kleene's realizability method plays a central role. The author then studies algebraic models and completeness theorems for them. After giving a survey on the principles of intuitionistic analysis, the last part of the book presents the cut-elimination theorem in intuitionistic simple theory of types with an extensionality rule.
Mathematics Teacher Educators' Perceptions and Use of Cognitive Research
Laski, Elida V.; Reeves, Todd D.; Ganley, Colleen M.; Mitchell, Rebecca
2013-01-01
Instructors ("N"?=?204) of elementary mathematics methods courses completed a survey assessing the extent to which they value cognitive research and incorporate it into their courses. Instructors' responses indicated that they view cognitive research to be fairly important for mathematics education, particularly studies of domain-specific topics,…
Cetinkaya, Bulent; Kertil, Mahmut; Erbas, Ayhan Kursat; Korkmaz, Himmet; Alacaci, Cengiz; Cakiroglu, Erdinc
2016-01-01
Adopting a multitiered design-based research perspective, this study examines pre-service secondary mathematics teachers' developing conceptions about (a) the nature of mathematical modeling in simulations of "real life" problem solving, and (b) pedagogical principles and strategies needed to teach mathematics through modeling. Unlike…
Directory of Open Access Journals (Sweden)
Rosália Maria Ribeiro de Aragão
2012-06-01
Full Text Available The problem put under focus stems from cultivation of doctoral actions, reactions and attitudes of doctors already practicing in other areas and that resolve to migrate to the areas of Science and Math Education to take-on collaboration-training for new doctors formation in Science Education or Mathematics Education, in accord with North Regional Brazilian context claims. With this in mind, doctors professionally bound to higher education Institutions – Universities and Federal Institutes – as a NET located in Legal Amazon assume responsibilities which include taking on partnerships in order to increase the number of teachers held for the training of doctors in the newly created NET. Even already being doctors and working in the so-called "hard areas" or in related fields, these doctors seek accreditation in a newly created doctoral program, with desire and willingness to migrate to focus and share scientific-pedagogical training in a high positive quality new doctors in Education Science and Mathematics Education. The "migrant doctors" aim to establish themselves in this new/other program assuming new formative relationships in order to provide both the necessary visibility to this area in its region of insertion, and the production of positive and desirable responses for the academic, scientific and pedagogical advancement of higher education in the training of doctors. These doctors who are working in the NET for accrediting doctor trainers since two years in a developing regional programme will be investigated pursuant to investigative narrative mode of qualitative research, in the light of epistemological, theoretical and methodological foundations of teaching and research. So as, in their accession processes or proposed-resistance the migrating doctors will be investigated especially in relation to both (i their participation as teachers-researchers held forming quality doctors for this century while generating academic production in
Sinclair, H C; Hardy, L K; Hughes, J
1984-11-01
This paper describes the educational activity of a group of 149 nurse teachers and administrators following completion of the nursing education and nursing administration certificate courses of the University of Edinburgh (1958-1975). The data were obtained by a postal questionnaire and three particular types of courses reported by the respondents are discussed. Emphasis is given to the analysis involving degree courses as this was a prominent educational activity, especially among nurse teachers. The conclusion discusses the potential of an all graduate nurse teacher group and suggests some implications for the nursing profession.
Kodaira, Kunihiko
1996-01-01
This is the translation from the Japanese textbook for the grade 11 course, "General Mathematics". It is part of the easier of the three elective courses in mathematics offered at this level and is taken by about 40% of students. The book covers basic notions of probability and statistics, vectors, exponential, logarithmic, and trigonometric functions, and an introduction to differentiation and integration.
The Mathematics Teacher Formation and the Teaching for Research and Study Course
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Ana Rosa Corica
2013-08-01
Full Text Available The study of didactic devices with the characteristics of RSC in the teachers' mathematics formation at an Argentine university has led to the future teachers elaboration of their own ideas about of the management of the mentioned device at the Argentine high school. In this paper, results of a semi-structured interview to future teachers are shown. The teachers were attending the last year of the teaching training college at an Argentine university. Our intention was to know the receipt that the future teachers have in the management of an education under the characteristics of RSC to manage the above device in their educational practices. One of the difficulties that the future teachers signal is to select the problematic question that allows to stimulate and to provoke the whole process of study. The choice of the mentioned question is assigned to the same teachers. This constitutes a limitation as for the comprehension and later management of an education for RSC.
Allen, Charles
2017-01-01
Informed by Gagne's belief in the necessity of prerequisite knowledge for new learning, and Bruner's Spiral Curriculum Theory, the objective of this case study was to explore the postsecondary pathway from remedial mathematics, through one gateway mathematics course, and into the quantitative literacy requirements of various non-STEM programs of…
Directory of Open Access Journals (Sweden)
Ana Lucía Alfaro Arce
2013-03-01
Full Text Available This paper summarizes the opinions of students who have enrolled in the Precalculus course offered by the MATEM project. The aim is to systematize the views expressed by the students enrolled in MATEM, which are related to general aspects of the project, and also to know the professional areas these students select when entering to the university. The information for this study was collected through two questionnaires administered to the participating students during 2005-2009. The most relevant results are the following: the students listed benefits from MATEM such as the opportunity to practice for their Mathematics test (Ministry of Education exam, obtaining new knowledge and developing mathematical and reasoning skills. Most students would recommend others to participate in the project. Regarding the careers that students pursue, it was found a preference for higher studies in public universities at Costa Rica; these majors include mathematics courses in their curriculum (Engineering, Economics, Statistics, Medicine, among others.
Mathematics Boot Camps: A Strategy for Helping Students to Bypass Remedial Courses
Hamilton, Marilyn A. L.
Many community colleges struggle to find the best strategy to help incoming at-risk students prepare for the placement test. The purpose of this quantitative quasi-experimental study, was to answer the question as to which of 2 programs, a 2-week, face-to-face mathematics refresher program, Math Boost-Up, or an online-only program, might increase the ACCUPLACER posttest scores of incoming community college students. The study used archival data for 136 students who self-selected to either participate in the Math Boost-Up program (the experiment group), or in the online-only program (the comparison group). Knowles's theory of adult learning, andragogy, served as the theoretical framework. Spearman, Kruskal-Wallis, Mann-Whitney, and chi-square tests were used to measure the effect of 4 moderator variables (age, high school GPA, number of minutes spent in MyFoundationsLab, and number of days spent in face-to-face sessions) on the pre- and posttest scores of students in each group. The results indicated that students in the Math Boost-Up program experienced statistically significant gains in arithmetic and elementary algebra than did those students in the online-only program. The results also indicated that the 4 moderator variables affected gains in posttest scores. Additionally, the results disproved the andragogical premise that students would be self-directed and would self-select to participate in the intervention. A recommendation was that participation in the face-to-face refresher program should be mandatory. The study contributes to social change by providing evidence that short-term refresher programs could increase the scores of students on placement tests.
International Nuclear Information System (INIS)
Mukherjee, M.K.
1981-01-01
In an axiomatic study of quantum theory Jauch postulated the completeness of the lattice underlying a quantum logic. The theory of Baer semigroup is utilized to specify quite generally the completeness of the lattice. (author)
le Roux, Kate; Adler, Jill
2016-01-01
Mathematical problems that make links to the everyday and to disciplines other than mathematics--variously referred to as practical, realistic, real-world or applied problems in the literature--feature in school and undergraduate mathematics reforms aimed at increasing mathematics participation in contexts of inequity and diversity. In this…
Riandry, M. A.; Ismet, I.; Akhsan, H.
2017-09-01
This study aims to produce a valid and practical statistical physics course handout on distribution function materials based on STEM. Rowntree development model is used to produce this handout. The model consists of three stages: planning, development and evaluation stages. In this study, the evaluation stage used Tessmer formative evaluation. It consists of 5 stages: self-evaluation, expert review, one-to-one evaluation, small group evaluation and field test stages. However, the handout is limited to be tested on validity and practicality aspects, so the field test stage is not implemented. The data collection technique used walkthroughs and questionnaires. Subjects of this study are students of 6th and 8th semester of academic year 2016/2017 Physics Education Study Program of Sriwijaya University. The average result of expert review is 87.31% (very valid category). One-to-one evaluation obtained the average result is 89.42%. The result of small group evaluation is 85.92%. From one-to-one and small group evaluation stages, averagestudent response to this handout is 87,67% (very practical category). Based on the results of the study, it can be concluded that the handout is valid and practical.
Shattuck, James C.
2016-01-01
Organic chemistry is very challenging to many students pursuing science careers. Flipping the classroom presents an opportunity to significantly improve student success by increasing active learning, which research shows is highly beneficial to student learning. However, flipping an entire course may seem too daunting or an instructor may simply…
Rice, John; Lash, Andrea; Huang, Min; Tran, Loan; Peterson, Mary
2015-01-01
The purpose of the study reported here was to explore the relationship between the type of high school attended (magnet versus comprehensive) and the likelihood of graduates having completed an advanced course, after accounting for students' prior achievement. In addition, the study examined the relationship between students' prior achievement and…
Wamala, Robert
2013-01-01
Achieving the United Nations Millennium Development Goals (MDGs) remains a major challenge, particularly in developing countries. Specifically, achieving the target of completing a full course of primary schooling among all children, which is goal two, is a major challenge for Sub-Saharan Africa. Though literature consensually suggests that the…
Adaptation of abbreviated mathematics anxiety rating scale for engineering students
Nordin, Sayed Kushairi Sayed; Samat, Khairul Fadzli; Sultan, Al Amin Mohamed; Halim, Bushra Abdul; Ismail, Siti Fatimah; Mafazi, Nurul Wirdah
2015-05-01
Mathematics is an essential and fundamental tool used by engineers to analyse and solve problems in their field. Due to this, most engineering education programs involve a concentration of study in mathematics courses whereby engineering students have to take mathematics courses such as numerical methods, differential equations and calculus in the first two years and continue to do so until the completion of the sequence. However, the students struggled and had difficulties in learning courses that require mathematical abilities. Hence, this study presents the factors that caused mathematics anxiety among engineering students using Abbreviated Mathematics Anxiety Rating Scale (AMARS) through 95 students of Universiti Teknikal Malaysia Melaka (UTeM). From 25 items in AMARS, principal component analysis (PCA) suggested that there are four mathematics anxiety factors, namely experiences of learning mathematics, cognitive skills, mathematics evaluation anxiety and students' perception on mathematics. Minitab 16 software was used to analyse the nonparametric statistics. Kruskal-Wallis Test indicated that there is a significant difference in the experience of learning mathematics and mathematics evaluation anxiety among races. The Chi-Square Test of Independence revealed that the experience of learning mathematics, cognitive skills and mathematics evaluation anxiety depend on the results of their SPM additional mathematics. Based on this study, it is recommended to address the anxiety problems among engineering students at the early stage of studying in the university. Thus, lecturers should play their part by ensuring a positive classroom environment which encourages students to study mathematics without fear.
Hilgoe, Ellen; Brinkley, Jason; Hattingh, Johannes; Bernhardt, Robert
2016-01-01
Since its establishment in 1996, the North Carolina Early Mathematics Placement Testing (NC EMPT) Program has provided a low stakes reality check of readiness for college-level mathematics to more than 600,000 high school students statewide. The program strives to help reduce the percentage of incoming college freshmen requiring mathematics…
Brown, J. C.
1915-01-01
The International Commission on the Teaching of Mathematics created by the International Congress of Mathematics at Rome, Italy, in 1908, submitted a large body of reports to the congress at Cambridge, England, in 1912. Those for the United States have been published as bulletins for the Bureau of Education. The material in this bulletin shows…
MATHEMATICS EDUCATION FOR LOGISTICS ENGINEERING
BÉLA ILLÉS; GABRIELLA BOGNÁR
2012-01-01
Mathematics is a crucial language in all engineering courses and researches where mathematical modeling, simulation and manipulation are commonly used. Engineering Mathematics courses are considered difficult courses in engineering curricula. This is reflected in engineering students’ performance at the end of each semester for these courses. Our goal is to overview a few questions on mathematics as a core subject of engineering.
Maaike Hajer; Eva Norén
2017-01-01
Explicit language objectives are included in the Swedish national curriculum for mathematics. The curriculum states that students should be given opportunities to develop the ability to formulate problems, use and analyse mathematical concepts and relationships between concepts, show and follow
Stripling, Christopher T.; Roberts, T. Grady
2013-01-01
Teachers who are efficacious persevere through challenges in the learning environment and put forth more effort in designing learning activities. The purpose of this study was to determine the effects of mathematics teaching and integration strategies (MTIS) on preservice agricultural teachers' personal mathematics efficacy, mathematics teaching…
Kinnari-Korpela, Hanna
2015-01-01
Mathematics' skills and knowledge lay the basis for engineering studies. However, the resources targeted to mathematics' teaching are in many cases very limited. During the past years in our university the reduction of mathematics' contact hours has been significant while at the same time the study groups have grown. However, the mathematical…
Andreescu, Titu; Tetiva, Marian
2017-01-01
Building bridges between classical results and contemporary nonstandard problems, Mathematical Bridges embraces important topics in analysis and algebra from a problem-solving perspective. Blending old and new techniques, tactics and strategies used in solving challenging mathematical problems, readers will discover numerous genuine mathematical gems throughout that will heighten their appreciation of the inherent beauty of mathematics. Most of the problems are original to the authors and are intertwined in a well-motivated exposition driven by representative examples. The book is structured to assist the reader in formulating and proving conjectures, as well as devising solutions to important mathematical problems by making connections between various concepts and ideas from different areas of mathematics. Instructors and educators teaching problem-solving courses or organizing mathematics clubs, as well as motivated mathematics students from high school juniors to college seniors, will find Mathematical Bri...
2016-10-25
the first plank segment. Jumping up onto the beam from the side is not permitted. The subject walks the entire length of each plank segment. Taking... WALKING OBSTACLE COURSES CIE(CLOTHING AND INDIVIDUAL EQUIPMENT) iii...1978; Robertson et al., 1982). Based upon investigations in which individuals walked with external loads on the body, researchers suggested that local
Directory of Open Access Journals (Sweden)
Rositsa Raikova
Full Text Available An unfused tetanus of a motor unit (MU evoked by a train of pulses at variable interpulse intervals is the sum of non-equal twitch-like responses to these stimuli. A tool for a precise prediction of these successive contractions for MUs of different physiological types with different contractile properties is crucial for modeling the whole muscle behavior during various types of activity. The aim of this paper is to develop such a general mathematical algorithm for the MUs of the medial gastrocnemius muscle of rats. For this purpose, tetanic curves recorded for 30 MUs (10 slow, 10 fast fatigue-resistant and 10 fast fatigable were mathematically decomposed into twitch-like contractions. Each contraction was modeled by the previously proposed 6-parameter analytical function, and the analysis of these six parameters allowed us to develop a prediction algorithm based on the following input data: parameters of the initial twitch, the maximum force of a MU and the series of pulses. Linear relationship was found between the normalized amplitudes of the successive contractions and the remainder between the actual force levels at which the contraction started and the maximum tetanic force. The normalization was made according to the amplitude of the first decomposed twitch. However, the respective approximation lines had different specific angles with respect to the ordinate. These angles had different and non-overlapping ranges for slow and fast MUs. A sensitivity analysis concerning this slope was performed and the dependence between the angles and the maximal fused tetanic force normalized to the amplitude of the first contraction was approximated by a power function. The normalized MU contraction and half-relaxation times were approximated by linear functions depending on the normalized actual force levels at which each contraction starts. The normalization was made according to the contraction time of the first contraction. The actual force levels
DEFF Research Database (Denmark)
Sørensen, John Aasted
2010-01-01
The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Spring 2010 Ectent: 5 ects Class size: 18......The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Spring 2010 Ectent: 5 ects Class size: 18...
DEFF Research Database (Denmark)
Sørensen, John Aasted
2010-01-01
The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Autumn 2010 Ectent: 5 ects Class size: 15......The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Autumn 2010 Ectent: 5 ects Class size: 15...
DEFF Research Database (Denmark)
Sinclair, Robert
1998-01-01
Course notes of a PhD course held in 1998. The central idea is to introduce students to computational mathematics using object oriented programming in C++.......Course notes of a PhD course held in 1998. The central idea is to introduce students to computational mathematics using object oriented programming in C++....
Energy Technology Data Exchange (ETDEWEB)
Thies, Elena-Daphne [University of Wuerzburg, Department of Nuclear Medicine, Wuerzburg (Germany); University of Wuerzburg, Department of Psychiatry, Psychosomatic Medicine and Psychotherapy, Wuerzburg (Germany); Tanase, Karina; Buck, Andreas K.; Haenscheid, Heribert; Reiners, Christoph [University of Wuerzburg, Department of Nuclear Medicine, Wuerzburg (Germany); Maeder, Uwe [University of Wuerzburg, Comprehensive Cancer Center Mainfranken, Wuerzburg (Germany); Luster, Markus [University Hospital of Marburg, Department of Nuclear Medicine, Marburg (Germany); Verburg, Frederik A. [University of Wuerzburg, Department of Nuclear Medicine, Wuerzburg (Germany); RWTH University Hospital Aachen, Department of Nuclear Medicine, Aachen (Germany)
2014-12-15
To assess the risk of differentiated thyroid cancer (DTC) recurrence, DTC-related mortality and life expectancy in relation to the number of courses of {sup 131}I therapy (RIT) and cumulative {sup 131}I activities required to achieve complete remission (CR). The study was a database review of 1,229 patients with DTC, 333 without and 896 with CR (negative TSH-stimulated thyroglobulin and negative {sup 131}I diagnostic whole-body scintigraphy) after one or more courses of RIT. The median follow-up was 9.0 years (range 0.1 - 31.8 years) after CR. Recurrence rates at 5 years, 10 years and the end of follow-up were 1.0 ± 0.3 %, 4.0 ± 0.7 % and 6.2 ± 1.1 %, and DTC-related mortality was 0.1 ± 0.1 %, 0.5 ± 0.3 % and 3.4 ± 1.1 %, respectively. Recurrence rates also increased with an increasing number of RIT courses required (p = 0.001). DTC-related mortality increased from four RIT courses. In patients with CR after one RIT course, there were no differences in recurrence or DTC-related mortality rates between low-risk and high-risk patients. In patients requiring two RIT courses these rates remain elevated in high-risk patients. Recurrence and DTC-related mortality rates were only significantly elevated in those requiring a cumulative activity over 22.2 GBq (600 mCi) from multiple RIT courses for CR. Regardless of the number of RIT courses or activity needed, life expectancy was not significantly lowered. If more than one RIT course is needed to achieve CR, higher recurrence and DTC-related mortality rates are observed, especially in high-risk patients. Patients requiring >22.2 GBq {sup 131}I for CR should be followed in the same way as patients in whom CR is never reached as long-term mortality rates are similar. (orig.)
Noser, Thomas C.; Tanner, John R.; Shah, Situl
2008-01-01
The purpose of this study was to measure the comprehension of basic mathematical skills of students enrolled in statistics classes at a large regional university, and to determine if the scores earned on a basic math skills test are useful in forecasting student performance in these statistics classes, and to determine if students' basic math…
Harwell, Michael; Post, Thomas R.; Cutler, Arnie; Maeda, Yukiko; Anderson, Edwin; Norman, Ke Wu; Medhanie, Amanuel
2009-01-01
The selection of K-12 mathematics curricula has become a polarizing issue for schools, teachers, parents, and other educators and has raised important questions about the long-term influence of these curricula. This study examined the impact of participation in either a National Science Foundation-funded or commercially developed mathematics…
Zetriuslita; Wahyudin; Jarnawi
2017-01-01
This research aims to describe and analyze result of applying Problem-Based Learning and Cognitive Conflict Strategy (PBLCCS) in increasing students' Mathematical Critical Thinking (MCT) ability and Mathematical Curiosity Attitude (MCA). Adopting a quasi-experimental method with pretest-posttest control group design and using mixed method with…
Finite Mathematics and Discrete Mathematics: Is There a Difference?
Johnson, Marvin L.
Discrete mathematics and finite mathematics differ in a number of ways. First, finite mathematics has a longer history and is therefore more stable in terms of course content. Finite mathematics courses emphasize certain particular mathematical tools which are useful in solving the problems of business and the social sciences. Discrete mathematics…
Remedial mathematics for quantum chemistry
Koopman, L.; Brouwer, N.; Heck, A.; Buma, W.J.
2008-01-01
Proper mathematical skills are important for every science course and mathematics-intensive chemistry courses rely on a sound mathematical pre-knowledge. In the first-year quantum chemistry course at this university, it was noticed that many students lack basic mathematical knowledge. To tackle the
DEFF Research Database (Denmark)
Sørensen, John Aasted
2011-01-01
The objectives of Discrete Mathematics (IDISM2) are: The introduction of the mathematics needed for analysis, design and verification of discrete systems, including the application within programming languages for computer systems. Having passed the IDISM2 course, the student will be able...... to accomplish the following: -Understand and apply formal representations in discrete mathematics. -Understand and apply formal representations in problems within discrete mathematics. -Understand methods for solving problems in discrete mathematics. -Apply methods for solving problems in discrete mathematics......; construct a finite state machine for a given application. Apply these concepts to new problems. The teaching in Discrete Mathematics is a combination of sessions with lectures and students solving problems, either manually or by using Matlab. Furthermore a selection of projects must be solved and handed...
Directory of Open Access Journals (Sweden)
Simone Luccas
2011-01-01
Full Text Available Esse artigo apresenta um estudo a respeito das contribuições que o ensino de matemática pode proporcionar à formação de alunos de um curso do Ensino Superior na área de administração. O estudo discute como o ensino e a aprendizagem do conhecimento matemático podem subsidiar a formação de um administrador, não somente no sentido da compreensão do conhecimento matemático, mas, também, na análise de fenômenos ou problemas existentes em seu entorno sociocultural. A estruturação para o trabalho com o conhecimento matemático dá-se por meio de: um circuito epistemológico do conhecimento, que é proposto pela matematização horizontal e vertical; contextualização adequada de fenômenos da realidade; descontextualização do objeto matemático; e, por fim, recontextualização dessa estrutura em novas problemáticas, implicando necessariamente uma ação interdisciplinar.The paper presents a study about contributions that mathematics education with an interdisciplinary approach brings to an undergraduate course in the area of administration. Our study discusses how teaching and learning of mathematical knowledge can encourage an administrator in training towards understanding mathematical knowledge using an analysis of phenomena or problems existing in the socio-cultural environment. We propose that a structure for mathematical teaching: should come from an epistemological basis of knowledge which is built through mathematization with its horizontal and vertical components; be produced from an appropriate contextualization of the reality of phenomena and a mathematical decontextualization; and, finally, be a recontextualization of this new structure into new contexts and problems, that lead to interdisciplinary action.
Directory of Open Access Journals (Sweden)
Volodymyr Kharchenko
2017-07-01
Full Text Available Purpose: This article presents a mathematical model and the experimental results of automatic flights of the policopter UAV NAU PKF "Aurora" of oktacopter scheme with additional elektroimpeler engines of horizontal thrust. Methods: UAV NAU PKF "Aurora" is developed for experimental flights in manual, semi-automatic and unmanned modes. The uniqueness and scientific novelty of data of flight testes is in a complete separation and isolation of vertical and horizontal components of the flight, which enables a fundamentally new way of moving of vehicle in the aerial space. This approach gives a ability to obtain all advantages and to eliminate disadvantages of helicopter and airplane in fundamentally new aircraft by structure and by function – namely in the policopter flyer with additional independent engines of the lateral thrust. Results: Obtained a new experimental data that allowed to better understand the nature of the physical forces, providing the flight of the policopter. Discussion: Revised a physical basis of the airscrew (propeller, namely on the example of flight of the policopter proved that most of the thrust of the propeller provided by the mechanical impulse (kinetic energy Ек=mv2/2 by the impulse, that a airscrew receives at his collisions with air molecules,but not by the gradient of air pressure below and above the airscrew. Is put forward a hypothesis of gravitational nature of the flight and introduced the notion of "functional antigravity", that a force completely identical in function and opposite on the direction of the force of gravity (gravity force. Deduced a mathematical formula of "functionally antigravitational" transport, namely:G·M·m/R2 = mI·v2/2 – for the flights of the aircraft with a mass m over universal astronomical body with a mass M, and m·g = mI·v2/2 – for the flights of the aircraft with mass m over a planet Earth.
Wyluda, Edward J; Cheng, Jihua; Schell, Todd D; Haley, Jeremy S; Mallon, Carol; Neves, Rogerio I; Robertson, Gavin; Sivik, Jeffrey; Mackley, Heath; Talamo, Giampaolo; Drabick, Joseph J
2015-01-01
We report 3 cases of durable complete response (CR) in patients with BRAF-mutated metastatic melanoma who were initially treated unsuccessfully with sequential immunotherapies (high dose interleukin 2 followed by ipilimumab with or without concurrent radiation therapy). After progression during or post immunotherapy, these patients were given BRAF inhibitor therapy and developed rapid CRs. Based on the concomitant presence of autoimmune manifestations (including vitiligo and hypophysitis), we postulated that there was a synergistic effect between the prior immune therapy and the BRAF targeting agents. Accordingly, the inhibitors were gradually weaned off beginning at 3 months and were stopped completely at 9-12 months. The three patients remain well and in CR off of all therapy at up to 15 months radiographic follow-up. The institution of the BRAF therapy was associated with development of severe rheumatoid-like arthritis in 2 patients which persisted for months after discontinuation of therapy, suggesting it was not merely a known toxicity of BRAF inhibitors (arthralgias). On immunologic analysis, these patients had high levels of non-T-regulatory, CD4 positive effector phenotype T-cells, which persisted after completion of therapy. Of note, we had previously reported a similar phenomenon in patients with metastatic melanoma who failed high dose interleukin-2 and were then placed on a finite course of temozolomide with rapid complete responses that have remained durable for many years after discontinuation of temozolomide. We postulate that a finite course of cytotoxic or targeted therapy specific for melanoma given after apparent failure of prior immunotherapy can result in complete and durable remissions that may persist long after the specific cytotoxic or targeted agents have been discontinued suggesting the existence of sequence specific synergism between immunotherapy and these agents. Here, we discuss these cases in the context of the literature on
Hougardy, Stefan
2016-01-01
Algorithms play an increasingly important role in nearly all fields of mathematics. This book allows readers to develop basic mathematical abilities, in particular those concerning the design and analysis of algorithms as well as their implementation. It presents not only fundamental algorithms like the sieve of Eratosthenes, the Euclidean algorithm, sorting algorithms, algorithms on graphs, and Gaussian elimination, but also discusses elementary data structures, basic graph theory, and numerical questions. In addition, it provides an introduction to programming and demonstrates in detail how to implement algorithms in C++. This textbook is suitable for students who are new to the subject and covers a basic mathematical lecture course, complementing traditional courses on analysis and linear algebra. Both authors have given this "Algorithmic Mathematics" course at the University of Bonn several times in recent years.
Jothi, A Lenin
2009-01-01
Financial services, particularly banking and insurance services is the prominent sector for the development of a nation. After the liberalisation of financial sector in India, the scope of getting career opportunities has been widened. It is heartening to note that various universities in India have introduced professional courses on banking and insurance. A new field of applied mathematics has come into prominence under the name of Financial Mathematics. Financial mathematics has attained much importance in the recent years because of the role played by mathematical concepts in decision - m
Bilican, Safiye; Demirtasli, R. Nukhet; Kilmen, Sevilay
2011-01-01
The purpose of this study was to determine whether the attitudes of the students who participated in the application within the context of TIMSS 1999 and 2007 projects towards the "Maths course" and their opinions about "teaching activities in Maths course" had changed according to the mentioned years or not. The sample of…
Melnyk, D. O.
2014-01-01
The aim of this work was to show effective and convenient way of studying the theme “Water Dissociation. Power of Hydrogen” and facilitate the new material perception by students of pharmaceutical faculty using knowledge of mathematics and chemistry. The correct calculation of pH and ions concentration in solution is necessary for complete perception of the theoretical bases of many disciplines. Using such approach in the study of this theme increases the student's ability to solve the proble...
Caudill, Lester; Hill, April; Hoke, Kathy; Lipan, Ovidiu
2010-01-01
Funded by innovative programs at the National Science Foundation and the Howard Hughes Medical Institute, University of Richmond faculty in biology, chemistry, mathematics, physics, and computer science teamed up to offer first- and second-year students the opportunity to contribute to vibrant, interdisciplinary research projects. The result was…
Ritter, Carrie Lineberry
2015-01-01
Calls for better preparation of STEM teachers have been prominent in educational communities and among the public for the past several years (e.g. American Association of Colleges for Teacher Education, 2007). Some research suggests one way to improve mathematics instruction is to increase elementary pre-service teachers' "mathematical…
Battista, Michael T.
1986-01-01
Examined how preservice elementary teachers' (N=38) mathematical knowledge and mathematics anxiety affect their success in a mathematics methods course. Also examined the hypothesis that a mathematics methods course can reduce the mathematics anxiety of these teachers. One finding is that mathematics anxiety does not inhibit their learning of…
Predicting Success in College Mathematics from High School Mathematics Preparation
Shepley, Richard A.
1983-01-01
The purpose of this study was to develop a model to predict the college mathematics courses a freshman could expect to pass by considering their high school mathematics preparation. The high school information that was used consisted of the student's sex, the student's grade point average in mathematics, the highest level of high school mathematics courses taken, and the number of mathematics courses taken in high school. The high school sample was drawn from graduated Seniors in the State...
Effects of Clicker Use on Calculus Students' Mathematics Anxiety
Batchelor, John
2015-01-01
This paper reports the results of a survey study of clicker use and mathematics anxiety among students enrolled in an undergraduate calculus course during the Fall 2013 semester. Students in two large lecture sections of calculus completed surveys at the beginning and end of the course. One class used clickers, whereas the other class was taught…
Mathematical Modeling Using MATLAB
National Research Council Canada - National Science Library
Phillips, Donovan
1998-01-01
.... Mathematical Modeling Using MA MATLAB acts as a companion resource to A First Course in Mathematical Modeling with the goal of guiding the reader to a fuller understanding of the modeling process...
Thermodynamics a complete undergraduate course
Steane, Andrew M
2016-01-01
This is an undergraduate textbook in thermodynamics—the science of heat, work, temperature, and entropy. The text presents thermodynamics in and of itself, as an elegant and powerful set of ideas and methods. These methods open the way to understanding a very wide range of phenomena in physics, chemistry, engineering, and biology. Starting out from an introduction of concepts at first year undergraduate level, the roles of temperature, internal energy, and entropy are explained via the laws of thermodynamics. The text employs a combination of examples, exercises, and careful discussion, with a view to conveying the feel of the subject as well as avoiding common misunderstandings. The Feynman–Smuluchowski ratchet, Szilard’s engine, and Maxwell’s daemon are used to elucidate entropy and the second law. Free energy and thermodynamic potentials are discussed at length, with applications to solids as well as fluids and flow processes. Thermal radiation is discussed, and the main ideas significant to global...
Mathematics for natural scientists fundamentals and basics
Kantorovich, Lev
2016-01-01
This book, the first in a two part series, covers a course of mathematics tailored specifically for physics, engineering and chemistry students at the undergraduate level. It is unique in that it begins with logical concepts of mathematics first encountered at A-level and covers them in thorough detail, filling in the gaps in students' knowledge and reasoning. Then the book aids the leap between A-level and university-level mathematics, with complete proofs provided throughout and all complex mathematical concepts and techniques presented in a clear and transparent manner. Numerous examples and problems (with answers) are given for each section and, where appropriate, mathematical concepts are illustrated in a physics context. This text gives an invaluable foundation to students and a comprehensive aid to lecturers. Mathematics for Natural Scientists: Fundamentals and Basics is the first of two volumes. Advanced topics and their applications in physics are covered in the second volume.
Agyei, D.D.; Voogt, Joke; Resta, P.
2012-01-01
A combination of various measures (self-report, learning outcomes and written reports) was employed to investigate 104 pre-service teachers’ competencies in spreadsheet integration after enrolling in an Instructional Technology course. The pre-service teachers engaged in a “learning technology by
Rowlett, Joel Everett
2013-01-01
This case study examined the beliefs of African American males on the psychosocial and pedagogical factors contributing to the underrepresentation of African American males in advanced high school math courses. Six 11th grade African American male juniors from a large, comprehensive, Southeastern high school served as individual cases. Within- and…
Geroch, Robert
1985-01-01
Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space. Geroch uses category theory to emphasize both the interrelationships among different structures and the unity of mathematics. Perhaps the most valuable feature of the book is the illuminating intuitive discussion of the ""whys"" of proofs and of axioms and definitions. This book, based on Geroch's University of Chicago course, will be especially helpful to those working in theoretical physics, including such areas as relativity, particle
Digital image processing mathematical and computational methods
Blackledge, J M
2005-01-01
This authoritative text (the second part of a complete MSc course) provides mathematical methods required to describe images, image formation and different imaging systems, coupled with the principle techniques used for processing digital images. It is based on a course for postgraduates reading physics, electronic engineering, telecommunications engineering, information technology and computer science. This book relates the methods of processing and interpreting digital images to the 'physics' of imaging systems. Case studies reinforce the methods discussed, with examples of current research
Accelerating Mathematics Achievement Using Heterogeneous Grouping
Burris, Carol Corbett; Heubert, Jay P.; Levin, Henry M.
2006-01-01
This longitudinal study examined the effects of providing an accelerated mathematics curriculum in heterogeneously grouped middle school classes in a diverse suburban school district. A quasi-experimental cohort design was used to evaluate subsequent completion of advanced high school math courses as well as academic achievement. Results showed…
Probability elements of the mathematical theory
Heathcote, C R
2000-01-01
Designed for students studying mathematical statistics and probability after completing a course in calculus and real variables, this text deals with basic notions of probability spaces, random variables, distribution functions and generating functions, as well as joint distributions and the convergence properties of sequences of random variables. Includes worked examples and over 250 exercises with solutions.
Energy Technology Data Exchange (ETDEWEB)
Martiny, S C
1972-01-01
The model presented here attempts to simulate the course of the conversion of glucose to alcohol through a simulation of the glycolytic flux rate. The model is based on dynamic stationarity through the glycolytic reactions, equilibrium in the action of ATPase. The model does not simulate experimental data, mainly because ATPase cannot keep pace with ATP formation. The simulations stress the need for better understanding of the mechanism of ATP removal within the cell.
Using Mathematics Literature with Prospective Secondary Mathematics Teachers
Jett, Christopher C.
2014-01-01
Literature in mathematics has been found to foster positive improvements in mathematics learning. This manuscript reports on a mathematics teacher educator's use of literature via literature circles with 11 prospective secondary mathematics teachers in a mathematics content course. Using survey and reflection data, the author found that…
Mathematical physics classical mechanics
Knauf, Andreas
2018-01-01
As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating examples in physics, it offers not only an excellent selection of basic topics, but also an introduction to a number of current areas of research in the field of classical mechanics. Thanks to the didactic structure and concise appendices, the presentation is self-contained and requires only knowledge of the basic courses in mathematics. The book addresses the needs of graduate and senior undergraduate students in mathematics and physics, and of researchers interested in approaching classical mechanics from a modern point of view.
Virdi, Surinder; Virdi, Narinder Kaur
2014-01-01
Construction Mathematics is an introductory level mathematics text, written specifically for students of construction and related disciplines. Learn by tackling exercises based on real-life construction maths. Examples include: costing calculations, labour costs, cost of materials and setting out of building components. Suitable for beginners and easy to follow throughout. Learn the essential basic theory along with the practical necessities. The second edition of this popular textbook is fully updated to match new curricula, and expanded to include even more learning exercises. End of chapter exercises cover a range of theoretical as well as practical problems commonly found in construction practice, and three detailed assignments based on practical tasks give students the opportunity to apply all the knowledge they have gained. Construction Mathematics addresses all the mathematical requirements of Level 2 construction NVQs from City & Guilds/CITB and Edexcel courses, including the BTEC First Diploma in...
Closing the Gap: First Year Success in College Mathematics at an HBCU
Harrington, Melissa A.; Lloyd, Andrew; Smolinski, Tomasz; Shahin, Mazen
2016-01-01
At our Historically-Black University, about 89% of first-year students place into developmental mathematics, negatively impacting retention and degree completion. In 2012, an NSF-funded learning enrichment project began offering the introductory and developmental mathematics courses on-line over the summer to incoming science, technology,…
Enhancing Science and Mathematics Education for Child Care Providers and Preschool Teachers.
White, Jennifer Meux; Hosoume, Kimi
The Lawrence Hall of Science (LHS), University of California at Berkeley has completed a 3-year project to develop a science and mathematics education course and science curriculum for early childhood educators. This project was in response to the need for improving the science and mathematics knowledge and teaching skills of adults who work with…
Mathematical E-Learning: State of the Art and Experiences at the Open University of Catalonia
Juan, A.; Huertas, A.; Steegmann, C.; Corcoles, C.; Serrat, C.
2008-01-01
In this article we present a review of the state of the art in mathematical e-learning and some personal experiences on this area developed during the last eleven years at the Open University of Catalonia (UOC), a completely online university located in Spain. The article discusses important aspects related to online mathematics courses offered in…
Directory of Open Access Journals (Sweden)
Olga V. Shipulina
2013-01-01
Full Text Available The study explores how students, who had completed the AP calculus course, mathematized the optimal navigation real-life problem simulated in the Second Life Virtual Environment. The particular research interest was to investigate whether/how students’ empirical activity in VE influences the way of their mathematizing.
Educating mathematics teacher educators
DEFF Research Database (Denmark)
Højgaard, Tomas; Jankvist, Uffe Thomas
2014-01-01
The paper argues for a three-dimensional course design structure for future mathematics teacher educators. More precisely we describe the design and implementation of a course basing itself on: the two mathematical competencies of modelling and problem tackling, this being the first dimension......; the two mathematical topics of differential equations and stochastics, this being the second dimension; and finally a third dimension the purpose of which is to deepen the two others by means of a didactical perspective....
Directory of Open Access Journals (Sweden)
Skvortsova S.
2014-11-01
"Methods of teaching educational sector" Mathematics "" using computers, the authors use the term "information technology", follow the definition of information technologies M. Zhaldak, IT training Zakharova I. and see their possible implementation in class presentations through the use of lectures; at workshops – by presentations prepared by the teacher and presentations prepared by the students, and through the use of computer control tests; during independent work possible use of teaching aids in electronic media and educational computer tests.
Waters, Sharon Campbell
2005-07-01
A variety of previous studies have suggested that inaccurate, stereotypical or missing media depictions of science, engineering, and technology (SET) workers and fields have contributed to a growing shortage of youth interested in pursuing careers within the scientific endeavor. However, studies on the perceptions of African American youth have not usually been the focus of such research. In this exploratory study, in-depth interviews were conducted with 34 fifth grade African American students to determine the relative influence television and film portrayals of SET workers had on these children's perceptions of roles in SET fields and careers and school coursework related to them. Framed within the theoretical perspectives of cultivation analysis and the construction of social reality, results indicated the majority of participants perceived scientists as ambiguous, possessing either mythic characteristics of the fantastic persona or they saw them as altruistically inclined figures that saved the world from disease, destruction, and decay. Television and film portrayals of SET workers were found in varying degrees and ways to shape these African American children's perceptions toward SET careers. While children exhibited self-concepts about SET workers that were sometimes idealistic, distorted, or unrealistic, most had favorable perceptions toward math and science courses in school. However, it was the absence of television and film portrayals of African Americans in SET roles that was problematic for the majority of students. Recommendations for media producers, educators, scientific research foundations, and parents were suggested to dispel some of these commonly found media stereotypes of SET workers and African Americans in these roles and their effects.
2005-01-01
present roll Presentation roll Interactive Media Element This is an interactive diagram of a MATLAB course layout covering 16 topics in 4 different main areas: Basics of MATLAB, Numerical Methods in MATLAB, Symbolic Manipulations in MATLAB, Mathematical Modeling in MATLAB and Simulink AE2440 Introduction to Digital Computation
Castleman, Benjamin L.; Long, Bridget Terry; Mabel, Zachary A.
2014-01-01
The fastest growing supply of jobs in the United States today is in Science, Technology, Engineering, and Mathematics (STEM) fields. Yet despite the availability of work in STEM, there is not a sufficient supply of workers to fill open positions. Amidst the growing demand for STEM workers, educational achievement and attainment in STEM fields in…
Cahill, Kevin
2013-01-01
Unique in its clarity, examples and range, Physical Mathematics explains as simply as possible the mathematics that graduate students and professional physicists need in their courses and research. The author illustrates the mathematics with numerous physical examples drawn from contemporary research. In addition to basic subjects such as linear algebra, Fourier analysis, complex variables, differential equations and Bessel functions, this textbook covers topics such as the singular-value decomposition, Lie algebras, the tensors and forms of general relativity, the central limit theorem and Kolmogorov test of statistics, the Monte Carlo methods of experimental and theoretical physics, the renormalization group of condensed-matter physics and the functional derivatives and Feynman path integrals of quantum field theory.
Pokhilko, Alexandra; Ebenhöh, Oliver
2017-01-01
The removal of excess nutrients\\ud from water ecosystems requires oxidation of toxic\\ud ammonium by two types of bacteria; one oxidizes\\ud ammonium to nitrite and the other oxidizes nitrite\\ud to nitrate. The oxidation of ammonium is often\\ud incomplete and nitrite accumulates. Nitrite is also\\ud toxic, and is converted by the ammoniumoxidizing\\ud bacteria to nitrous oxide, a powerful\\ud greenhouse gas. Here we use mathematical\\ud modeling to analyze a potential solution to the\\ud problems re...
Mathematical Modeling in the Undergraduate Curriculum
Toews, Carl
2012-01-01
Mathematical modeling occupies an unusual space in the undergraduate mathematics curriculum: typically an "advanced" course, it nonetheless has little to do with formal proof, the usual hallmark of advanced mathematics. Mathematics departments are thus forced to decide what role they want the modeling course to play, both as a component of the…
Women in Mathematics: A Nested Approach
Köse, Emek; Johnson, Angela C.
2016-01-01
In this article, we present a case study of a course called Women in Mathematics. Students in the course studied the lives and the mathematical contributions of women mathematicians throughout history, as well as current gender equity issues in the study of mathematics and in mathematical careers. They also mentored 20 middle school girls…
Lectures on Applications-Oriented Mathematics
Friedman, Bernard
2011-01-01
Meets the need for a program of short courses involving the essentials of a number of mathematical topics taken by physics and engineering students. Basically applications-oriented, the courses do include selected topics of abstract mathematics. While several courses can be used as practical appendices to conventional mathematics, others serve as introductions, providing motivation for self-study in areas of conceptual math.
Directory of Open Access Journals (Sweden)
Wendy Eufrocina Heredia Soriano
2017-01-01
Full Text Available This paper describes the mental representation of Mathematics shared byengineering students in propaedeutic courses. From the theoretical point of view, the social representations are assumed as a particular form of knowledge that-is expressed in the behaviors and communication among individuals. It has been studied as a process and content, leading to the recognition of stereotypes, opinions, beliefs, values and norms. It is a study of exploratory, quantitative and qualitative type, with an inductive logic, where the structure and content of social representations present in the study are analyzed. The findings listed metaphors used in the symbolic setting of individual explanation of mathematics, assessed the impact of subjectivity in learning, and recorded engineering student’sexpectations in relation to studying mathematics.
DEFF Research Database (Denmark)
Kongsted, A.; Kent, P.; Hestbaek, L.
2015-01-01
BACKGROUND CONTEXT: The clinical presentation and outcome of patients with non-specific low back pain (LBP) are very heterogeneous and may be better understood by the recognition of reproducible subgroups. One approach to subgrouping is the identification of clinical course patterns (trajectories...
Geum-Hee Jeong
2008-01-01
A discriminant analysis was conducted to investigate how an essay, a mathematics/science type of essay, a college scholastic ability test, and grade point average affect acceptance to a pre-med course at a Korean medical school. Subjects included 122 and 385 applicants for, respectively, early and regular admission to a medical school in Korea. The early admission examination was conducted in October 2007, and the regular admission examination was conducted in January 2008. The analysis of ea...
Energy Technology Data Exchange (ETDEWEB)
Glimm, J.
2009-10-14
Progress for the past decade or so has been extraordinary. The solution of Fermat's Last Theorem [11] and of the Poincare Conjecture [1] have resolved two of the most outstanding challenges to mathematics. For both cases, deep and advanced theories and whole subfields of mathematics came into play and were developed further as part of the solutions. And still the future is wide open. Six of the original seven problems from the Clay Foundation challenge remain open, the 23 DARPA challenge problems are open. Entire new branches of mathematics have been developed, including financial mathematics and the connection between geometry and string theory, proposed to solve the problems of quantized gravity. New solutions of the Einstein equations, inspired by shock wave theory, suggest a cosmology model which fits accelerating expansion of the universe possibly eliminating assumptions of 'dark matter'. Intellectual challenges and opportunities for mathematics are greater than ever. The role of mathematics in society continues to grow; with this growth comes new opportunities and some growing pains; each will be analyzed here. We see a broadening of the intellectual and professional opportunities and responsibilities for mathematicians. These trends are also occuring across all of science. The response can be at the level of the professional societies, which can work to deepen their interactions, not only within the mathematical sciences, but also with other scientific societies. At a deeper level, the choices to be made will come from individual mathematicians. Here, of course, the individual choices will be varied, and we argue for respect and support for this diversity of responses. In such a manner, we hope to preserve the best of the present while welcoming the best of the new.
Jeong, Geum-Hee
2008-01-01
A discriminant analysis was conducted to investigate how an essay, a mathematics/science type of essay, a college scholastic ability test, and grade point average affect acceptance to a pre-med course at a Korean medical school. Subjects included 122 and 385 applicants for, respectively, early and regular admission to a medical school in Korea. The early admission examination was conducted in October 2007, and the regular admission examination was conducted in January 2008. The analysis of early admission data revealed significant F values for the mathematics/science type of essay (51.64; Pgrade point average (10.66; P=0.0014). The analysis of regular admission data revealed the following F values: 28.81 (Pgrade point average, 27.47 (P<0.0001) for college scholastic ability test, 10.67 (P=0.0012) for the essay, and 216.74 (P<0.0001) for the mathematics/science type of essay. Since the mathematics/science type of essay had a strong effect on acceptance, an emphasis on this requirement and exclusion of other kinds of essays would be effective in subsequent entrance examinations for this premed course.
Improving on the American Dream: Mathematics Pathways to Student Success
Clyburn, Gay M.
2013-01-01
Developmental mathematics is one of the most serious barriers to educational and economic achievement. Over 60 percent of all students entering community colleges in the United States are required to complete remedial/developmental courses as a first step towards earning associate's or bachelor's degrees. Then, to earn a degree,…
Introductory discrete mathematics
Balakrishnan, V K
2010-01-01
This concise text offers an introduction to discrete mathematics for undergraduate students in computer science and mathematics. Mathematics educators consider it vital that their students be exposed to a course in discrete methods that introduces them to combinatorial mathematics and to algebraic and logical structures focusing on the interplay between computer science and mathematics. The present volume emphasizes combinatorics, graph theory with applications to some stand network optimization problems, and algorithms to solve these problems.Chapters 0-3 cover fundamental operations involv
Mathematics for physical chemistry
Mortimer, Robert G
2013-01-01
Mathematics for Physical Chemistry is the ideal supplementary text for practicing chemists and students who want to sharpen their mathematics skills while enrolled in general through physical chemistry courses. This book specifically emphasizes the use of mathematics in the context of physical chemistry, as opposed to being simply a mathematics text. This 4e includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The early chapters are constructed around a sequence of mathematical topics, wit
Bourne, Victoria J.
2014-01-01
Research methods and statistical analysis is typically the least liked and most anxiety provoking aspect of a psychology undergraduate degree, in large part due to the mathematical component of the content. In this first cycle of a piece of action research, students' mathematical ability is examined in relation to their performance across…
Knots and surfaces a guide to discovering mathematics
Farmer, David W
1995-01-01
In most mathematics textbooks, the most exciting part of mathematics-the process of invention and discovery-is completely hidden from the reader. The aim of Knots and Surfaces is to change all that. By means of a series of carefully selected tasks, this book leads readers to discover some real mathematics. There are no formulas to memorize; no procedures to follow. The book is a guide: its job is to start you in the right direction and to bring you back if you stray too far. Discovery is left to you. Suitable for a one-semester course at the beginning undergraduate level, there are no prerequi
Directory of Open Access Journals (Sweden)
Stavroula BIBILA
2010-04-01
Full Text Available This paper presents a study of practice that was conducted during the piloting of a vocational (health care e-course at the Distance Learning department of a College of Further and Higher Education in England. The purpose of the study was to establish a course of action aiming to support non-native English speaking learners to successfully complete the essay-type questions of the e-course assignments. The exploratory nature of the study means that in effect the study comprises of two distinct, yet interrelated parts, with the first one looking into how two (2 non-native English speaking learners (participants used different e-course resources to help them compose their answers. Based on the findings, the second part examines the role of writing frameworks (in the form of email communication between the tutor and the participants in helping the latter to compose answers that met the assessment criteria in terms of a content (subject accuracy, b length and c originality. Discussion of the findings includes implications for providing additional English for Speakers of Other Languages (ESOL support to distance learners, suggestions for further improvements to the e-course and recommendations for further research.
Herman, Joan L.; Matrundola, Deborah La Torre; Epstein, Scott; Leon, Seth; Dai, Yunyun; Reber, Sarah; Choi, Kilchan
2015-01-01
With support from the Bill and Melinda Gates Foundation, researchers and experts in mathematics education developed the Mathematics Design Collaborative (MDC) as a strategy to support the transition to Common Core State Standards in math. MDC provides short formative assessment lessons known as Classroom Challenges for use in middle and high…
Sharp, Karen Tobey
This paper cites information received from a number of sources, e.g., mathematics teachers in two-year colleges, publishers, and convention speakers, about the nature of discrete mathematics and about what topics a course in this subject should contain. Note is taken of the book edited by Ralston and Young which discusses the future of college…
Racial Differences in Mathematics Test Scores for Advanced Mathematics Students
Minor, Elizabeth Covay
2016-01-01
Research on achievement gaps has found that achievement gaps are larger for students who take advanced mathematics courses compared to students who do not. Focusing on the advanced mathematics student achievement gap, this study found that African American advanced mathematics students have significantly lower test scores and are less likely to be…
Explorations in Elementary Mathematical Modeling
Shahin, Mazen
2010-01-01
In this paper we will present the methodology and pedagogy of Elementary Mathematical Modeling as a one-semester course in the liberal arts core. We will focus on the elementary models in finance and business. The main mathematical tools in this course are the difference equations and matrix algebra. We also integrate computer technology and…
Continuum mechanics the birthplace of mathematical models
Allen, Myron B
2015-01-01
Continuum mechanics is a standard course in many graduate programs in engineering and applied mathematics as it provides the foundations for the various differential equations and mathematical models that are encountered in fluid mechanics, solid mechanics, and heat transfer. This book successfully makes the topic more accessible to advanced undergraduate mathematics majors by aligning the mathematical notation and language with related courses in multivariable calculus, linear algebra, and differential equations; making connections with other areas of applied mathematics where parial differe
Mathematics for physics with calculus
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.
Mathematics for physical chemistry
Mortimer, Robert G
2005-01-01
Mathematics for Physical Chemistry, Third Edition, is the ideal text for students and physical chemists who want to sharpen their mathematics skills. It can help prepare the reader for an undergraduate course, serve as a supplementary text for use during a course, or serve as a reference for graduate students and practicing chemists. The text concentrates on applications instead of theory, and, although the emphasis is on physical chemistry, it can also be useful in general chemistry courses. The Third Edition includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The first ten chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. The final chapter discusses mathematical topics needed in the analysis of experimental data.* Numerous examples and problems interspersed throughout the presentations * Each extensive chapter contains a preview, objectives, and ...
Kalinec-Craig, Crystal A.
2014-01-01
In this pedagogical reflection, a White mathematics teacher educator describes what she learned from three Latina pre-service teachers who were recent immigrants from Mexico while they completed an elementary mathematics methods course. Using Rochelle Gutierrez's (2012) metaphor of a window and mirror, the author interrogates her own identity and…
Mathematical analysis fundamentals
Bashirov, Agamirza
2014-01-01
The author's goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric o
Teaching secondary mathematics
Rock, David
2013-01-01
Solidly grounded in up-to-date research, theory and technology,?Teaching Secondary Mathematics?is a practical, student-friendly, and popular text for secondary mathematics methods courses. It provides clear and useful approaches for mathematics teachers, and shows how concepts typically found in a secondary mathematics curriculum can be taught in a positive and encouraging way. The thoroughly revised fourth edition combines this pragmatic approach with truly innovative and integrated technology content throughout. Synthesized content between the book and comprehensive companion websi
Resnikoff, Howard L
2015-01-01
Space flight, computers, lasers, and information technology ― these are but a few examples of the spectacular growth, development, and far-reaching applications of mathematics. But what of the field's past? Upon which intellectual milestones were the foundations of modern mathematics constructed? How has our comprehension of the physical universe, language, and the nature of thought itself been influenced and informed by the developments of mathematics through the ages?This lucid presentation examines how mathematics shaped and was shaped by the course of human events. In a format suited to co
The Use of the History of Mathematics in the Teaching Pre-Service Mathematics Teachers
Galante, Dianna
2014-01-01
Many scholars have written about using the history of mathematics in the teaching of pre-service mathematics teachers. For this study, pre-service mathematics teachers developed an electronic journal of reflections based on presentations in the history of mathematics in a secondary mathematics education course. The main purpose of the…
Thompson, E. David; Bowling, Bethany V.; Markle, Ross E.
2018-01-01
Studies over the last 30 years have considered various factors related to student success in introductory biology courses. While much of the available literature suggests that the best predictors of success in a college course are prior college grade point average (GPA) and class attendance, faculty often require a valuable predictor of success in…
Giving Reason to Prospective Mathematics Teachers
D'Ambrosio, Beatriz; Kastberg, Signe
2012-01-01
This article describes the development of the authors' understanding of the contradictions in their mathematics teacher education practice. This understanding emerged from contrasting analyses of the impact of the authors' practices in mathematics content courses versus mathematics methods courses. Examples of the authors' work with two students,…
Directory of Open Access Journals (Sweden)
Joohi Lee
2014-02-01
Full Text Available This exploratory research project investigated graduate students’ satisfaction levels with online learning associated with human (professor/instructor and instructional associate and design factors (course structure and technical aspects using a survey study. A total of 81 graduate students (master’s students who majored in math and science education enrolled in an online math methods course (Conceptual Geometry participated in this study. According to the results of this study, student satisfaction level is closely associated with clear guidelines on assignment, rubrics, and constructive feedback. In addition, student satisfaction level is related to professor’s (or course instructor’s knowledge of materials.
Eastern Arizona Coll., Thatcher.
Eastern Arizona College has developed a modularized system of instruction for five vocational and vocationally related courses--Introduction to Business, Business Mathematics, English, Drafting, and Electronics. Each course is divided into independent segments of instruction and students have open-entry and exit options. This document reviews the…
England, Robert G.
The Mountain-Plains Course Resource List is presented by job title for 26 curriculum areas. For each area the printed materials, audiovisual aids, and equipment needed for the course are listed. The 26 curriculum areas are: mathematics skills, communication skills, office education, lodging services, food services, marketing and distribution,…
Insurance Education Foundation, Indianapolis, IN.
This guide, which is designed for use with secondary school students, contains four units of activities that teach the fundamentals of insurance within the context of a broad range of subjects, including social sciences, history, civics, government, mathematics, consumer economics, business, economics, life skills, family management, home…
How to solve mathematical problems
Wickelgren, Wayne A
1995-01-01
Seven problem-solving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation. Also, problems from mathematics, science, and engineering with complete solutions.
Directory of Open Access Journals (Sweden)
Pari Cheraq
2017-02-01
Full Text Available Changes in the administrative structure of the education system and the need to coordinate with the world of science and technology and hence, the need to update the general and technical information and knowledge, have doubled the importance and necessity of holding the new and efficient in-service trainings for the teachers. In this study, the attempt was taken to examine and analyze the impact of using problem-based trainings during the in-service courses on the teachers' performance and capabilities, by relying on the mathematics book of the sixth grade elementary level (case study: the city of Ahvaz. To do so, using a quasi-experimental study, 37 teachers of the sixth grade were selected from the elementary schools of Ahvaz city. For the in-service training courses on the teaching of mathematics, the problem-based learning method was used. After conducting the problem-based teaching method and the traditional method of teaching, through using the test and the standard questionnaire, the data about the teaching practice and the capabilities of the teachers were collected. Using t-test for the paired and independent samples, it was demonstrated that the problem-based in-service trainings, enhance the teachers' capabilities and performance regarding the problem-solving skills.
Hadley, Kristin M.; Dorward, Jim
2011-01-01
Many elementary teachers have been found to have high levels of mathematics anxiety but the impact on student achievement was unknown. Elementary teachers (N = 692) completed the modified Mathematics Anxiety Rating Scale-Revised (Hopko, 2003) along with a questionnaire probing anxiety about teaching mathematics and current mathematics instructional practices. Student mathematics achievement data were collected for the classrooms taught by the teachers. A positive relationship was found betwee...
Yang, Xinrong; Leung, Frederick K. S.
2015-01-01
This paper investigated pre-service mathematics teachers' mathematics beliefs, beliefs about information and communication technology (ICT), and their relationships. 787 pre-service mathematics teachers in China completed a survey questionnaire measuring their beliefs about the nature of mathematics, beliefs about mathematics learning and…
Perception determinants in learning mathematics
Mokhtar, Siti Fairus; Ali, Noor Rasidah; Rashid, Nurazlina Abdul
2015-05-01
This article described a statistical study of students' perception in mathematics. The objective of this study is to identify factors related to perception about learning mathematics among non mathematics' student. This study also determined the relationship between of these factors among non mathematics' student. 43 items questionnaires were distributed to one hundred students in UiTM Kedah who enrolled in the Business Mathematics course. These items were measured by using a semantic scale with the following anchors: 1 = strongly disagree to 7 = strongly agree. A factor analysis of respondents were identified into five factors that influencing the students' perception in mathematics. In my study, factors identified were attitude, interest, role of the teacher, role of peers and usefulness of mathematics that may relate to the perception about learning mathematics among non mathematics' student.
Canuto, Claudio
2015-01-01
The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book’s structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, ...
Crisan, C.; Geraniou, E.
2017-01-01
In this paper we present the model behind our on-line master level module Digital Technologies for Mathematical Learning, which focuses on the teaching and learning supported by digital technologies. In our evaluation of the delivery of this module over two years, we reflect here on the emergence of two pedagogies: the online pedagogy of the tutors, ensuring that online teaching and learning is effective and the participants’ developing RiTPACK (Research Informed Technological Pedagogical Con...
Elementary and Advanced Mathematic thinking as human activity in permanent evolution.
Directory of Open Access Journals (Sweden)
Mauricio Penagos
2017-01-01
Full Text Available The objective of this text is to present a reflection and analysis about the processes in the development of fundamental and advanced mathematical thinking as a human activity. Traditionally, mathematics education has had two barriers to overcome: First, advanced mathematical thinking is only shown at a determined age and therefore it must be addressed in university level courses. Second, the teachers of this discipline regularly introduce mathematics to students as a body of complete and irrefutable knowledge shared by a scientific community. The task of the student is to learn it, do demonstrations and reproduce this knowledge in a given period of time. Mathematical entities or objects that in occasions have taken centuries to build. In contrast with the true sense of education of this discipline that must be to empower in the students the development of mathematical thinking.
Teaching Undergraduate Mathematics Using CAS Technology: Issues and Prospects
Tobin, Patrick C.; Weiss, Vida
2016-01-01
The use of handheld CAS technology in undergraduate mathematics courses in Australia is paradoxically shrinking under sustained disapproval or disdain from the professional mathematics community. Mathematics education specialists argue with their mathematics colleagues over a range of issues in course development and this use of CAS or even…
Luther, Kenneth H.
2012-01-01
Mathematical modeling of groundwater flow is a topic at the intersection of mathematics and geohydrology and is rarely encountered in undergraduate mathematics. However, this subject is full of interesting and meaningful examples of truly "applied" mathematics accessible to undergraduates, from the pre-calculus to advanced mathematics levels. This…
Higher engineering mathematics
John Bird
2014-01-01
A practical introduction to the core mathematics principles required at higher engineering levelJohn Bird's approach to mathematics, based on numerous worked examples and interactive problems, is ideal for vocational students that require an advanced textbook.Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the advanced mathematics engineering that students need to master. The extensive and thorough topic coverage makes this an ideal text for upper level vocational courses. Now in
Mathematization in introductory physics
Brahmia, Suzanne M.
Mathematization is central to STEM disciplines as a cornerstone of the quantitative reasoning that characterizes these fields. Introductory physics is required for most STEM majors in part so that students develop expert-like mathematization. This dissertation describes coordinated research and curriculum development for strengthening mathematization in introductory physics; it blends scholarship in physics and mathematics education in the form of three papers. The first paper explores mathematization in the context of physics, and makes an original contribution to the measurement of physics students' struggle to mathematize. Instructors naturally assume students have a conceptual mastery of algebra before embarking on a college physics course because these students are enrolled in math courses beyond algebra. This paper provides evidence that refutes the validity of this assumption and categorizes some of the barriers students commonly encounter with quantification and representing ideas symbolically. The second paper develops a model of instruction that can help students progress from their starting points to their instructor's desired endpoints. Instructors recognize that the introductory physics course introduces new ideas at an astonishing rate. More than most physicists realize, however, the way that mathematics is used in the course is foreign to a large portion of class. This paper puts forth an instructional model that can move all students toward better quantitative and physical reasoning, despite the substantial variability of those students' initial states. The third paper describes the design and testing of curricular materials that foster mathematical creativity to prepare students to better understand physics reasoning. Few students enter introductory physics with experience generating equations in response to specific challenges involving unfamiliar quantities and units, yet this generative use of mathematics is typical of the thinking involved in
Developing mathematical modelling competence
DEFF Research Database (Denmark)
Blomhøj, Morten; Jensen, Tomas Højgaard
2003-01-01
In this paper we introduce the concept of mathematical modelling competence, by which we mean being able to carry through a whole mathematical modelling process in a certain context. Analysing the structure of this process, six sub-competences are identified. Mathematical modelling competence...... cannot be reduced to these six sub-competences, but they are necessary elements in the development of mathematical modelling competence. Experience from the development of a modelling course is used to illustrate how the different nature of the sub-competences can be used as a tool for finding...... the balance between different kinds of activities in a particular educational setting. Obstacles of social, cognitive and affective nature for the students' development of mathematical modelling competence are reported and discussed in relation to the sub-competences....
Althauser, Krista L.
2018-01-01
Using a Mixed Methods approach, this study investigated changes in levels of self-efficacy among elementary preservice teachers following a semester course on teaching elementary students' mathematics. Participants in this study included 347 preservice elementary teachers at a mid-size regional university who had just completed an elementary…
Logic and discrete mathematics a concise introduction : solutions manual
Conradie, Willem; Robinson, Claudette
2015-01-01
Solutions manual to accompany Logic and Discrete Mathematics: A Concise Introduction This book features a unique combination of comprehensive coverage of logic with a solid exposition of the most important fields of discrete mathematics, presenting material that has been tested and refined by the authors in university courses taught over more than a decade. Written in a clear and reader-friendly style, each section ends with an extensive set of exercises, most of them provided with complete solutions which are available in this accompanying solutions manual.
Improving University Students' Perception of Mathematics and Mathematics Ability
Directory of Open Access Journals (Sweden)
Shelly L. Wismath
2015-01-01
Full Text Available Although mathematical and quantitative reasoning skills are an essential part of adult life in our society, many students arrive at post-secondary education without such skills. Taking a standard mathematics course such as calculus may do little to improve those skills. Using a modification of the Tapia & Marsh questionnaire, we surveyed 62 students taking a broad quantitative reasoning course designed to develop quantitative skills, with respect to two broad attitudinal areas: students’ perception of their own ability, confidence and anxiety, and their perception of the value of mathematics in their studies and their lives. Pre- to post-course comparisons were done by both paired t-tests and Wilcoxon signed-rank tests. Our results showed a significant increase in confidence and decrease in anxiety, while perception of the value of mathematics was already high and changed little by the end of the course.
African Journals Online (AJOL)
MATHEMATICS CONNECTION aims at providing a forum topromote the development of Mathematics Education in Ghana. Articles that seekto enhance the teaching and/or learning of mathematics at all levels of theeducational system are welcome.
"Mathematics Is Like a Lion": Elementary Students' Beliefs about Mathematics
Markovits, Zvia; Forgasz, Helen
2017-01-01
The aim of this study was to explore the beliefs of elementary school students about mathematics and about themselves as mathematics learners. The participants, Israeli grade 4 and grade 6 students, completed questionnaires. Using an "animal metaphor" to tap beliefs, some students perceived mathematics as difficult and complicated, while…
Mathematics Models in Chemistry--An Innovation for Non-Mathematics and Non-Science Majors
Rash, Agnes M.; Zurbach, E. Peter
2004-01-01
The intention of this article is to present a year-long interdisciplinary course, Mathematical Models in Chemistry. The course is comprised of eleven units, each of which has both a mathematical and a chemical component. A syllabus of the course is given and the format of the class is explained. The interaction of the professors and the content is…
CULTUROLOGICAL APPROACH AS METHODOLOGICAL BASIS OF MATHEMATICAL EDUCATION
Directory of Open Access Journals (Sweden)
Ye. A. Perminov
2017-01-01
Full Text Available Introduction. Today, in the era of a mathematization of science and total expansion of digital technologies, mass mathematical education becomes a necessary part of culture of every person. However, there are some serious obstacles to formation and development of general mathematical culture: insufficient understanding of its importance by society and the state; fragmentary-clipconsciousness, emerging among representatives of the younger generation under the influence of the Internet, and preventing formation of a complete picture of the modern world; traditional system of disjointed subjects and courses in school, secondary vocational and high school mathematics education; non-cognitive (automatic transferring of the approaches, principles, technologies and techniques into training which are not specific in order to master a course. Development of sociological, axiological and especially culturological aspects of mathematical methodology is required for the solution of the urgent problems of methodology in mathematical education.The aim of the publication is to discuss methodological aspects of culturological approach realization in mathematical education.Methodology and research methods. The theoretical scientific methods of the present article involve analysis and synthesis of the content of philosophical, mathematical, pedagogical, methodological literature and normative documents; comparative, culturological and logical types of analysis of mathematical education; systematic, competence-based, practice-oriented and personal-activity metho-dological approaches were used to understand the concept of mathematical education.Results and scientific novelty. The practicability and leading role of culturological approach to promoting mathematical knowledge is proved from historical, philosophical and pedagogical positions. It is stated that objective conceptualization of progressive ideas and new methods of mathematical science and mathematical
Munakata, Mika
2010-01-01
The Mathematics Education Debate is an assignment designed for and implemented in an undergraduate mathematics methods course for prospective secondary school mathematics teachers. For the assignment, students read and analyze current research and policy reports related to mathematics education, prepare and present their positions, offer…
Teaching Mathematics to Civil Engineers
Sharp, J. J.; Moore, E.
1977-01-01
This paper outlines a technique for teaching a rigorous course in calculus and differential equations which stresses applicability of the mathematics to problems in civil engineering. The method involves integration of subject matter and team teaching. (SD)
Complete French Teach Yourself
Graham, Gaelle
2010-01-01
The best-selling complete course for a fun and effective way to learn French. This ISBN is for the paperback book. The corresponding audio support (ISBN: 9781444100068) is also available. The book and audio support can also be purchased as a pack (ISBN: 9781444100051).
Using Technology to Promote Mathematical Discourse Concerning Women in Mathematics
Phy, Lyn
2008-01-01
This paper discusses uses of technology to facilitate mathematical discourse concerning women in mathematics. Such a topic can be introduced in various traditional courses such as algebra, geometry, trigonometry, probability and statistics, or calculus, but it is not included in traditional textbooks. Through the ideas presented here, you can…
Examining the Impact of Redesigned Developmental Math Courses in Community Colleges
Okimoto, Hae; Heck, Ronald
2015-01-01
At community colleges, student preparedness for college-level work is a significant initial barrier. Over 70% of community college students are reported to be inadequately prepared for college mathematics. Because students need to pass college-level math in order to enroll in subsequent courses required for their majors or to complete general…
Discrete Mathematics and Its Applications
Oxley, Alan
2010-01-01
The article gives ideas that lecturers of undergraduate Discrete Mathematics courses can use in order to make the subject more interesting for students and encourage them to undertake further studies in the subject. It is possible to teach Discrete Mathematics with little or no reference to computing. However, students are more likely to be…
Mastering mathematics for Edexcel GCSE
Davis, Heather; Liggett, Linda
2015-01-01
Help students to develop their knowledge, skills and understanding so that they can reason mathematically, communicate mathematical information and apply mathematical techniques in solving problems; with resources developed specifically for the Edexcel GCSE 2015 specification with leading Assessment Consultant Keith Pledger and a team of subject specialists. - Supports you and your students through the new specifications, with topic explanations and new exam-style questions, to support the new assessment objectives. - Builds understanding and measures progress throughout the course with plenty
Mathematical Footprints Discovering Mathematics Everywhere
Pappas, Theoni
1999-01-01
MATHEMATICAL FOOTPRINTS takes a creative look at the role mathematics has played since prehistoric times, and will play in the future, and uncovers mathematics where you least expect to find it from its many uses in medicine, the sciences, and its appearance in art to its patterns in nature and its central role in the development of computers. Pappas presents mathematical ideas in a readable non-threatening manner. MATHEMATICAL FOOTPRINTS is another gem by the creator of THE MATHEMATICS CALENDAR and author of THE JOY OF MATHEMATICS. "Pappas's books have been gold mines of mathematical ent
Bowyer, Jessica; Darlington, Ellie
2017-01-01
It is essential that physics undergraduates are appropriately prepared for the mathematical demands of their course. This study investigated physics students’ perceptions of post-compulsory mathematics as preparation for their degree course. 494 physics undergraduates responded to an online questionnaire about their experiences of A-level Mathematics and Further Mathematics. The findings suggest that physics undergraduates would benefit from studying Further Mathematics and specialising in mechanics during their A-level studies. As both A-level Mathematics and Further Mathematics are being reformed, universities should look closely at the benefits of Further Mathematics as preparation for their physics courses and either increase their admissions requirements, or recommend that students take Further Mathematics.
Celebrate Mathematical Curiosity
Redford, Christine
2011-01-01
Children's mathematical questions are often based in real-world experiences, as they instinctively make connections to the world around them. In teaching math methods courses, this author recently started to emphasize the importance of fostering curiosity in, and activating the thinking of, the students. In this article, she describes how to tap…
Bureau of Naval Personnel, Washington, DC.
The second of three volumes of a mathematics training course for Navy personnel, this document contains material primarily found at the college level. Beginning with logarithms and trigonometry, the text moves into vectors and static equilibrium (physics). Coordinate geometry, conic sections, and the tangents, normals, and slopes of curves follow.…
Zack, Laurie; Fuselier, Jenny; Graham-Squire, Adam; Lamb, Ron; O'Hara, Karen
2015-01-01
Our study compared a flipped class with a standard lecture class in four introductory courses: finite mathematics, precalculus, business calculus, and calculus 1. The flipped sections watched video lectures outside of class and spent time in class actively working on problems. The traditional sections had lectures in class and did homework outside…
Science Academies' Refresher Course in Quantum Mechanics
Indian Academy of Sciences (India)
IAS Admin
2013-02-28
Feb 28, 2013 ... A Refresher Course in Quantum Mechanics for college/university teachers ... The Course will cover the basic and advanced topics of Quantum ... Module 1:- Principles of Quantum Mechanics (with associated mathematics), ...
Newton-Smith, WH
2003-01-01
A complete introduction to logic for first-year university students with no background in logic, philosophy or mathematics. In easily understood steps it shows the mechanics of the formal analysis of arguments.
Basic mathematics for biochemists
Cornish-Bowden, Athel
1981-01-01
Some teachers of biochemistry think it positively beneficial for students to struggle with difficult mathematics. I do not number myself among these people, although I have derived much personal pleasure from the study of mathematics and from applying it to problems that interest me in biochemistry. On the contrary, I think that students choose courses in biochemistry out of interest in biochemistry and that they should not be encumbered with more mathematics than is absolutely required for a proper understanding of biochemistry. This of course includes physical chemistry, because a biochemist ignorant of physical chemistry is no biochemist. I have been guided by these beliefs in writing this book. I have laid heavy emphasis on those topics, such as the use of logarithms, that play an important role in biochemistry and often cause problems in teaching; I have ignored others, such as trigonometry, that one can manage without. The proper treatment of statistics has been more difficult to decide. Although it cle...
Zorich, Vladimir A
2015-01-01
VLADIMIR A. ZORICH is professor of mathematics at Moscow State University. His areas of specialization are analysis, conformal geometry, quasiconformal mappings, and mathematical aspects of thermodynamics. He solved the problem of global homeomorphism for space quasiconformal mappings. He holds a patent in the technology of mechanical engineering, and he is also known by his book Mathematical Analysis of Problems in the Natural Sciences . This second English edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially notable in this course are the clearly expressed orientation toward the natural sciences and the informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems...
Directory of Open Access Journals (Sweden)
Djoko Purnomo
2017-02-01
Full Text Available The specific purpose of this research is: The implementation of the application of the learning tool with a form cognitive learning evaluation model based macros program via E-learning at High School grade X at july-december based on 2013 curriculum. The method used in this research followed the procedures is research and development by Borg and Gall [2]. In second year, population analysis has conducted at several universities in Semarang. The results of the research and application development of macro program-based cognitive evaluation model is effective which can be seen from (1 the student learning result is over KKM, (2 The student independency affects learning result positively, (3 the student learning a result by using macros program-based cognitive evaluation model is better than students class control. Based on the results above, the development of macros program-based cognitive evaluation model that have been tested have met quality standards according to Akker (1999. Large-scale testing includes operational phase of field testing and final product revision, i.e trials in the wider class that includes students in mathematics education major in several universities, they are the Universitas PGRI Semarang, Universitas Islam Sultan Agung and the Universitas Islam NegeriWalisongo Semarang. The positive responses is given by students at the Universitas PGRI Semarang, Universitas Islam Sultan Agung and the Universitas Islam NegeriWalisongo Semarang.
Marstrander, Jan H.; Talbot, Thomas F.
1975-01-01
Discusses the television broadcasting of a refresher course in mathematics and engineering fundamentals for those preparing to take the Engineer-in-Training (EIT) State Board Examination in Alabama. (MLH)
An investigation of elementary preservice teachers’ self-efficacy for teaching mathematics
Directory of Open Access Journals (Sweden)
Rebecca McMahon Giles
2016-12-01
Full Text Available Research has consistently shown that teacher efficacy is related to a variety of desirable student outcomes, thus, making teacher efficacy an important factor in high quality mathematics instruction. The purpose of this study was to determine elementary preservice teachers’ self-efficacy beliefs related to teaching mathematics. Forty-one participants from a single university responded to the Mathematics Teaching Efficacy Beliefs Instrument (MTEBI after completing a constructivist-based elementary mathematics methods course prior to student teaching. The MTEBI is 21-item survey using a 5-point, forced choice Likert-like scale to provide an individual's perceptions of mathematics teaching efficacy beliefs on two subscales—Personal Mathematics Teaching Efficacy Belief (PMTE and Mathematics Teaching Outcome Expectancy (MTOE. Responses on the PMTE subscale (Mean = 51.08, SD=5.171 indicate that the respondents’ personal mathematics teach efficacy is positive. Participants’ responses (Mean = 29.32, SD = 3.29 on the MTOE subscale indicate positive expectations of students' mathematics learning. Attending to preservice teacher efficacy is worthy of examination. Teacher preparation programs must identify opportunities to positively impact mathematics teaching efficacy of preservice teachers.
Authentic Teaching Experiences in Secondary Mathematics Methods
Stickles, Paula R.
2015-01-01
Often secondary mathematics methods courses include classroom peer teaching, but many pre-service teachers find it challenging to teach their classmate peers as there are no discipline issues and little mathematical discourse as the "students" know the content. We will share a recent change in our methods course where pre-service…
An introduction to financial mathematics
Mármol, Maite
2016-01-01
The present document includes the slides used in the course Mathematics For Finance (International Business and Business Administration and Management). The course content is divided into five units: “Introduction: Some general ideas”, “Financial arrangements”, “Annuities”, “Loans” and “Bonds”
Business Mathematics Curriculum Guide. Bulletin 1612. Revised.
Louisiana State Dept. of Education, Baton Rouge. Div. of Academic Programs.
This curriculum guide for business mathematics was developed to establish statewide curriculum standards for the Louisiana Competency-based Education Program. Following an overview of the secondary school mathematics curriculum, eight goals for the business mathematics course are listed. A pacing chart with suggested time periods for each major…
Developmental Mathematics Students: Who are They and What is Their Mathematics Self-Efficacy?
Baxter, Ryan; Bates, Alan; Al-Bataineh, Adel Tawfig
2017-01-01
The purpose of this quantitative study was to determine differences indevelopmental mathematics students’ self-efficacy within the demographic datafrom the survey. Data from a sample of 240 Intermediate Algebra students at asingle four-year university using the Mathematics Self-Efficacy Resultsindicate that males possess higher levels of mathematics self-efficacy andconfidence with their mathematical abilities than females. Students whocompleted a lower developmental mathematics course prior ...
Buxner, S.; Perera, V.; Mead, C.; Horodyskyj, L.; Semken, S. C.; Lopatto, D.; Anbar, A. D.
2016-12-01
General-education Science, Technology, Engineering, and Mathematics (STEM) courses are considered essential to a college education, in part, to train students to think critically and to make informed decisions about complex scientific issues such as climate change and public health. Therefore, the goals of these STEM courses go beyond content knowledge to include generating positive attitudes towards science, developing competence in evaluating scientific information in everyday life, and understanding the nature of science. The Classroom Undergraduate Research Experience (CURE) survey is frequently used to measure these attitudes, but it has not previously been used in an online, general education course. In this work, we administered the CURE survey for three semesters (N = 774) before and after completion of an online astrobiology course called Habitable Worlds. We compare students taking this course as part of fully-online degree programs (o-course) with those taking it as part of traditional undergraduate programs (i-course). More females and older students were among the o-course group, while overall the course had more white students than the Arizona State University average. Mean course grades were similar between the two groups but attitudes toward science differred significantly. O-course students began the course with more positive attitudes than i-course students, and o-course students also showed more positive changes at the end of the course. These differences suggest lesser intrinsic motivation among the i-course students. Additionally, pre-course attitudes correlated with final course grade for o-course students, but not for i-course students, which implies that success among o-course students is influenced by different factors than i-course students. Thus, effective student support strategies may differ for online-only students. Future work will include student interviews to better calibrate the CURE survey to online science courses.
A bridge to advanced mathematics
Sentilles, Dennis
2011-01-01
This helpful workbook-style ""bridge"" book introduces students to the foundations of advanced mathematics, spanning the gap between a practically oriented calculus sequence and subsequent courses in algebra and analysis with a more theoretical slant. Part 1 focuses on logic and number systems, providing the most basic tools, examples, and motivation for the manner, method, and concerns of higher mathematics. Part 2 covers sets, relations, functions, infinite sets, and mathematical proofs and reasoning. Author Dennis Sentilles also discusses the history and development of mathematics as well a
Core skills assessment to improve mathematical competency
Carr, Michael; Bowe, Brian; Fhloinn, Eabhnat Ní
2013-12-01
Many engineering undergraduates begin third-level education with significant deficiencies in their core mathematical skills. Every year, in the Dublin Institute of Technology, a diagnostic test is given to incoming first-year students, consistently revealing problems in basic mathematics. It is difficult to motivate students to address these problems; instead, they struggle through their degree, carrying a serious handicap of poor core mathematical skills, as confirmed by exploratory testing of final year students. In order to improve these skills, a pilot project was set up in which a 'module' in core mathematics was developed. The course material was basic, but 90% or higher was required to pass. Students were allowed to repeat this module throughout the year by completing an automated examination on WebCT populated by a question bank. Subsequent to the success of this pilot with third-year mechanical engineering students, the project was extended to five different engineering programmes, across three different year-groups. Full results and analysis of this project are presented, including responses to interviews carried out with a selection of the students involved.
Alexander, Serena; Poggo, Tammy
2014-01-01
Features the complete set of answers to the exercises in Mathematics Year 5, to save you time marking work and enable you to identify areas requiring further attention. The book includes diagrams and workings where necessary, to ensure pupils understand how to present their answers. Also available from Galore Park www.galorepark.co.uk :. - Mathematics Year 5. - Mathematics Year 6. - 11+ Maths Practice Exercises. - 11+ Maths Revision Guide. - 10-Minute Maths Tests Workbook Age 8-10. - 10-Minute Maths Tests Workbook Age 9-11. - Mental Arithmetic Workbook Age 8-10. - Mental Arithmetic Workbook Ag
Troelstra, AS
1988-01-01
Studies in Logic and the Foundations of Mathematics, Volume 123: Constructivism in Mathematics: An Introduction, Vol. II focuses on various studies in mathematics and logic, including metric spaces, polynomial rings, and Heyting algebras.The publication first takes a look at the topology of metric spaces, algebra, and finite-type arithmetic and theories of operators. Discussions focus on intuitionistic finite-type arithmetic, theories of operators and classes, rings and modules, linear algebra, polynomial rings, fields and local rings, complete separable metric spaces, and located sets. The te
Teaching mathematical modelling through project work
DEFF Research Database (Denmark)
Blomhøj, Morten; Kjeldsen, Tinne Hoff
2006-01-01
are reported in manners suitable for internet publication for colleagues. The reports and the related discussions reveal interesting dilemmas concerning the teaching of mathematical modelling and how to cope with these through “setting the scene” for the students modelling projects and through dialogues......The paper presents and analyses experiences from developing and running an in-service course in project work and mathematical modelling for mathematics teachers in the Danish gymnasium, e.g. upper secondary level, grade 10-12. The course objective is to support the teachers to develop, try out...... in their own classes, evaluate and report a project based problem oriented course in mathematical modelling. The in-service course runs over one semester and includes three seminars of 3, 1 and 2 days. Experiences show that the course objectives in general are fulfilled and that the course projects...
... this page: //medlineplus.gov/ency/article/001534.htm Mathematics disorder To use the sharing features on this page, please enable JavaScript. Mathematics disorder is a condition in which a child's ...
Trinajstić, Nenad; Gutman, Ivan
2002-01-01
A brief description is given of the historical development of mathematics and chemistry. A path leading to the meeting of these two sciences is described. An attempt is made to define mathematical chemistry, and journals containing the term mathematical chemistry in their titles are noted. In conclusion, the statement is made that although chemistry is an experimental science aimed at preparing new compounds and materials, mathematics is very useful in chemistry, among other things, to produc...
Structuring an Undergraduate Mathematics Seminar Dealing with Options and Hedging
Prevot, K. J.
2006-01-01
Offering mathematics majors the opportunity to engage in current, real-world applications can be an important enhancement to their undergraduate course curriculum. Instead of focusing on the traditional topic areas in pure and/or applied mathematics, one may structure a seminar course for senior mathematics majors by concentrating on a specific…
How Bob Barker Would (Probably) Teach Discrete Mathematics
Urness, Timothy
2010-01-01
This article proposes a discrete mathematics course in which games from "The Price Is Right" are used to engage students in a deeper, practical study of discrete mathematics. The games themselves are not the focus of the course; rather, the mathematical principles of the games give motivation for the concepts being taught. The game examples are…
Core-Plus Mathematics. What Works Clearinghouse Intervention Report
What Works Clearinghouse, 2010
2010-01-01
"Core-Plus Mathematics" is a four-year curriculum that replaces the traditional sequence with courses that each feature interwoven strands of algebra and functions, statistics and probability, geometry and trigonometry, and discrete mathematics. The first three courses in the series provide a common core of broadly useful mathematics,…
Delivering Online Professional Development in Mathematics to Rural Educators
Cady, Jo; Rearden, Kristin
2009-01-01
Rural school districts struggle to attract, retain, and support highly qualified mathematics teachers. A series of four online professional development courses in the form of integrated mathematics content and pedagogy courses was designed to meet the professional development needs of rural middle school mathematics teachers. Changes in teachers'…
Mathematics education giving meaning to Social Science students
DEFF Research Database (Denmark)
Andersson, Annica; Valero, Paola
Compulsory mathematics for social science students is problematic. We discuss the case of a group of students in Sweden who met a mathematics course inspired on the ideas of critical mathematics education and ethnomathematics. The evidence collected about students' experiences on this course...
Mathematical Astronomy in India
Plofker, Kim
Astronomy in South Asia's Sanskrit tradition, apparently originating in simple calendric computations regulating the timing of ancient ritual practices, expanded over the course of two or three millennia to include detailed spherical models, an endless variety of astrological systems, and academic mathematics in general. Assimilating various technical models, methods, and genres from the astronomy of neighboring cultures, Indian astronomers created new forms that were in turn borrowed by their foreign counterparts. Always recognizably related to the main themes of Eurasian geocentric mathematical astronomy, Indian astral science nonetheless maintained its culturally distinct character until Keplerian heliocentrism and Newtonian mechanics replaced it in colonial South Asia's academic mainstream.
Discrete algorithmic mathematics
Maurer, Stephen B
2005-01-01
The exposition is self-contained, complemented by diverse exercises and also accompanied by an introduction to mathematical reasoning … this book is an excellent textbook for a one-semester undergraduate course and it includes a lot of additional material to choose from.-EMS, March 2006In a textbook, it is necessary to select carefully the statements and difficulty of the problems … in this textbook, this is fully achieved … This review considers this book an excellent one.-The Mathematical Gazette, March 2006
Kilpatrick, Jeremy
2014-01-01
This paper addresses the contested way that ethnomathematics has sometimes been received by mathematicians and others and what that disagreement might suggest about issues in mathematics education; namely, (a) the relation of ethnomathematics to academic mathematics; (b) recent efforts to reform secondary school mathematics so that it prepares…
Opoka-Winiarska, Violetta; Żuber, Zbigniew; Alexeeva, Ekaterina; Chasnyk, Vyacheslav; Nikishina, Irina; Dębowska, Grażyna; Smolewska, Elżbieta
2018-04-13
Efficacy and safety of tocilizumab (TCZ), an interleukin-6 receptor inhibitor, were demonstrated in juvenile idiopathic arthritis (JIA) with polyarticular course (pJIA) in the CHERISH trial. This observational, III phase study evaluated long-term treatment of TCZ in pJIA patients was conducted by members of the Pediatric Rheumatology International Trials Organization (PRINTO) from Poland and Russia. Forty-one patients, who had completed the CHERISH core study (104 weeks), were extensionally treated with TCZ (8 mg/kg, intravenous infusion every 4 weeks). Total treatment time was from 131 to 193 weeks. The long-term safety (the primary endpoint) and efficacy were evaluated. All patients achieved ACR70 response in the core study and continued to achieve at least ACR50 response up to week 24 of this study. The safety population comprised 46.41 patient-years (PY). Rates per 100 PY of adverse (AEs) and serious events (SAEs) were 181.0 and 6.46, respectively. Pharyngitis and respiratory tract infections were the most common AEs. Except one AE (severe neutropenia), all others were classified as mild (24.4%) or moderate (29.3%). The incidence of SAEs was low (7.3%). No new safety findings were observed. The safety profile of over 2.5-year treatment with TCZ is consistent with the pre-marketing CHERISH clinical trial. Presented data and continued efficacy response support the use of TCZ in pJIA. EUDRACT No: 2011-001607-12. https://clinicaltrials.gov/ct2/show/study/NCT01575769?term=ML27783.
Mo, Xiao-Dong; Zhang, Xiao-Hui; Xu, Lan-Ping; Wang, Yu; Yan, Chen-Hua; Chen, Huan; Chen, Yu-Hong; Han, Wei; Wang, Feng-Rong; Wang, Jing-Zhi; Liu, Kai-Yan; Huang, Xiao-Jun
2016-12-01
Allogeneic hematopoietic stem cell transplantation (HSCT) is an important therapy option for children with acute myeloid leukemia (AML) resistant to the first course of induction chemotherapy (IC 1st ). We aimed to identify the efficacy of unmanipulated haploidentical HSCT (haplo-HSCT) in children with AML in the first complete remission and whether children resistant (IC 1st -resistant; n = 38) or sensitive (IC 1st -sensitive; n = 59) to the IC 1st can achieve comparable outcomes. The cumulative incidence of grades III to IV acute graft-versus-host disease (GVHD) and severe chronic GVHD was .0% versus 20.1% (P = .038) and 21.7% versus 13.2% (P = .238), respectively, for the IC 1st -resistant and IC 1st -sensitive groups. The 3-year cumulative incidence of relapse and nonrelapse mortality was 22.2% versus 7.6% (P = .061) and 5.3% versus 10.8% (P = .364), respectively, for the IC 1st -resistant and IC 1st -sensitive groups. The 3-year probability of overall survival and disease-free survival was 76.3% versus 83.0% (P = .657) and 72.5% versus 81.6% (P = .396), respectively, for the IC 1st -resistant and IC 1st -sensitive groups. Multivariate analysis failed to show significant differences in survival rates between the groups. Thus, our results show that unmanipulated haplo-HSCT may overcome the poor prognostic significance of IC 1st -resistance in children with AML, and it is valid as a postremission treatment for children with IC 1st -resistant AML lacking an HLA-matched donor. Copyright © 2016 The American Society for Blood and Marrow Transplantation. Published by Elsevier Inc. All rights reserved.
Nuclear reactor physics course for reactor operators
International Nuclear Information System (INIS)
Baeten, P.
2006-01-01
The education and training of nuclear reactor operators is important to guarantee the safe operation of present and future nuclear reactors. Therefore, a course on basic 'Nuclear reactor physics' in the initial and continuous training of reactor operators has proven to be indispensable. In most countries, such training also results from the direct request from the safety authorities to assure the high level of competence of the staff in nuclear reactors. The aim of the basic course on 'Nuclear Reactor Physics for reactor operators' is to provide the reactor operators with a basic understanding of the main concepts relevant to nuclear reactors. Seen the education level of the participants, mathematical derivations are simplified and reduced to a minimum, but not completely eliminated
A second course in topos quantum theory
Flori, Cecilia
2018-01-01
This advanced course, a sequel to the first volume of this lecture series on topos quantum theory, delves deeper into the theory, addressing further technical aspects and recent advances. These include, but are not limited to, the development of physical quantities and self-adjoint operators; insights into the quantization process; the description of an alternative, covariant version of topos quantum theory; and last but not least, the development of a new concept of spacetime. The book builds on the concepts introduced in the first volume (published as Lect. Notes Phys. 868), which presents the main building blocks of the theory and how it could provide solutions to interpretational problems in quantum theory, such as: What are the main conceptual issues in quantum theory? And how can these issues be solved within a new theoretical framework of quantum theory? These two volumes together provide a complete, basic course on topos quantum theory, offering a set of mathematical tools to readers interested in tac...
Pontrjagin, Lev Semenovič
1984-01-01
Lev Semenovic Pontrjagin (1908) is one of the outstanding figures in 20th century mathematics. In a long career he has made fundamental con tributions to many branches of mathematics, both pure and applied. He has received every honor that a grateful government can bestow. Though in no way constrained to do so, he has through the years taught mathematics courses at Moscow State University. In the year 1975 he set himself the task of writing a series of books on secondary school and beginning university mathematics. In his own words, "I wished to set forth the foundations of higher mathematics in a form that would have been accessible to myself as a lad, but making use of all my experience as a scientist and a teacher, ac cumulated over many years. " The present volume is a translation of the first two out of four moderately sized volumes on this theme planned by Pro fessor Pontrjagin. The book begins at the beginning of modern mathematics, analytic ge ometry in the plane and 3-dimensional space. Refin...
DEFF Research Database (Denmark)
Blomhøj, Morten
2004-01-01
Developing competences for setting up, analysing and criticising mathematical models are normally seen as relevant only from and above upper secondary level. The general belief among teachers is that modelling activities presuppose conceptual understanding of the mathematics involved. Mathematical...... roots for the construction of important mathematical concepts. In addition competences for setting up, analysing and criticising modelling processes and the possible use of models is a formative aim in this own right for mathematics teaching in general education. The paper presents a theoretical...... modelling, however, can be seen as a practice of teaching that place the relation between real life and mathematics into the centre of teaching and learning mathematics, and this is relevant at all levels. Modelling activities may motivate the learning process and help the learner to establish cognitive...
Perez-Felkner, Lara; McDonald, Sarah-Kathryn; Schneider, Barbara; Grogan, Erin
2012-11-01
Although important strides toward gender parity have been made in several scientific fields, women remain underrepresented in the physical sciences, engineering, mathematics, and computer sciences (PEMCs). This study examines the effects of adolescents' subjective orientations, course taking, and academic performance on the likelihood of majoring in PEMC in college. Results indicate that racial-ethnic and gender underrepresentation in science, technology, engineering, and mathematics (STEM) fields are interrelated and should be examined with attention to the intersecting factors influencing female and racial-ethnic minority adolescents' pathways toward careers in these fields. Among those who major in PEMC fields, women closely resemble men with respect to their subjective orientations. The effects of subjective orientations on women's chances of majoring in PEMC vary by their secondary school mathematics course completion levels. Women who take more mathematics courses are more likely to major in PEMC; however, course taking alone does not attenuate gender disparities in declaring these majors. High mathematics ability (as measured by standardized test scores in the 10th grade) appears to be positively associated with women's selection of social, behavioral, clinical, and health science majors. This association is less robust (and slightly negative) for women in PEMC. While advanced course taking appears to assist women in selecting PEMC majors, women who enter these fields may not be as strong as those who select other, less male-dominated scientific fields.
Mathematical Modeling and Pure Mathematics
Usiskin, Zalman
2015-01-01
Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics. The purpose of this article is to illustrate how the mathematical modeling that is present in everyday situations can be naturally embedded in…
Experiences of Student Mathematics-Teachers in Computer-Based Mathematics Learning Environment
Karatas, Ilhan
2011-01-01
Computer technology in mathematics education enabled the students find many opportunities for investigating mathematical relationships, hypothesizing, and making generalizations. These opportunities were provided to pre-service teachers through a faculty course. At the end of the course, the teachers were assigned project tasks involving…
Bowyer, Jessica; Darlington, Ellie
2017-01-01
It is essential that physics undergraduates are appropriately prepared for the mathematical demands of their course. This study investigated physics students' perceptions of post-compulsory mathematics as preparation for their degree course. 494 physics undergraduates responded to an online questionnaire about their experiences of A-level…
The Mathematics of "Star Trek"--An Honors Colloquium
Karls, Michael A.
2011-01-01
After the success of a course on cryptography for a general audience, based on Simon Singh's "The Code Book" [49], I decided to try again and create a mathematics course for a general audience based on "The Physics of Star Trek" by Lawrence Krauss [32]. This article looks at the challenges of designing a physics-based mathematics course "from…
Fundamentals of mathematical analysis
Paul J Sally, Jr
2013-01-01
This is a textbook for a course in Honors Analysis (for freshman/sophomore undergraduates) or Real Analysis (for junior/senior undergraduates) or Analysis-I (beginning graduates). It is intended for students who completed a course in "AP Calculus", possibly followed by a routine course in multivariable calculus and a computational course in linear algebra. There are three features that distinguish this book from many other books of a similar nature and which are important for the use of this book as a text. The first, and most important, feature is the collection of exercises. These are spread
Bolton, W
2012-01-01
Mathematics for Engineering has been carefully designed to provide a maths course for a wide ability range, and does not go beyond the requirements of Advanced GNVQ. It is an ideal text for any pre-degree engineering course where students require revision of the basics and plenty of practice work. Bill Bolton introduces the key concepts through examples set firmly in engineering contexts, which students will find relevant and motivating. The second edition has been carefully matched to the Curriculum 2000 Advanced GNVQ units:
Mathematics Self-Related Beliefs and Online Learning
Ichinose, Cherie; Bonsangue, Martin
2016-01-01
This study examined students' mathematical self-related beliefs in an online mathematics course. Mathematical self-related beliefs of a sample of high school students learning mathematics online were compared with student response data from the 2012 Programme for International Student Assessment (PISA). The treatment group reported higher levels…
Mathematicians' and Math Educators' Views on "Doing Mathematics"
Brandt, Jim; Lunt, Jana; Meilstrup, Gretchen Rimmasch
2016-01-01
Educators often argue that mathematics should be taught so that the students in the course are actually "doing mathematics." Is there a consensus among mathematicians and mathematics educators as to the meaning of "doing mathematics?" In an effort to answer this question, we administered a survey to hundreds of university-level…
Pre-college Mathematics *Optional subject
ISHIDA, Yukio
2015-01-01
This course is a companion course to Calculus I. It aims to help students with little or no precalculus knowledge to master the basic calculus material in preparation for the more advanced course of Calculus I. This is done by reviewing high school mathematics.
Stephens, Maria; Landeros, Katherine; Perkins, Robert; Tang, Judy H.
2016-01-01
The Trends in International Mathematics and Science Study (TIMSS) 2015 is the sixth administration of this international comparative study since 1995 when first administered. TIMSS is used to compare over time the mathematics and science knowledge and skills of fourth- and eighth-graders. TIMSS is designed to align broadly with mathematics and…
Primary School Pre-Service Mathematics Teachers' Views on Mathematical Modeling
Karali, Diren; Durmus, Soner
2015-01-01
The current study aimed to identify the views of pre-service teachers, who attended a primary school mathematics teaching department but did not take mathematical modeling courses. The mathematical modeling activity used by the pre-service teachers was developed with regards to the modeling activities utilized by Lesh and Doerr (2003) in their…
Green, Kris; Emerson, Allen
2008-01-01
The first part of this two-part paper [see EJ787497] described the development of a new freshman business mathematics (FBM) course at our college. In this paper, we discuss our assessment tool, the business memo, as a venue for students to apply mathematical skills, via mathematical modelling, to realistic business problems. These memos have…
Canuto, Claudio
2015-01-01
The purpose of the volume is to provide a support for a first course in Mathematics. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. At the elementary level the student is supposed to grasp the very essential ideas and familiarise with the corresponding key techniques. Proofs to the main results befit the intermediate level, together with several remarks and complementary notes enhancing the treatise. The last, and farthest-reaching, level requires the additional study of ...
Cobbs, Joyce Bernice
2015-01-01
The literature on minority student achievement indicates that Black students are underrepresented in advanced mathematics courses. Advanced mathematics courses offer students the opportunity to engage with challenging curricula, experience rigorous instruction, and interact with quality teachers. The middle school years are particularly significant for mathematics education since the courses students pursue during those years affect later access to rigorous mathematics coursework at the high ...
Total Quality Management in the Classroom: Applications to University-Level Mathematics.
Williams, Frank
1995-01-01
Describes a Total Quality Management-based system of instruction that is used in a variety of undergraduate mathematics courses. The courses that incorporate this approach include mathematics appreciation, introductory calculus, and advanced applied linear algebra. (DDR)
Stöltzner, Michael
Answering to the double-faced influence of string theory on mathematical practice and rigour, the mathematical physicists Arthur Jaffe and Frank Quinn have contemplated the idea that there exists a `theoretical' mathematics (alongside `theoretical' physics) whose basic structures and results still require independent corroboration by mathematical proof. In this paper, I shall take the Jaffe-Quinn debate mainly as a problem of mathematical ontology and analyse it against the backdrop of two philosophical views that are appreciative towards informal mathematical development and conjectural results: Lakatos's methodology of proofs and refutations and John von Neumann's opportunistic reading of Hilbert's axiomatic method. The comparison of both approaches shows that mitigating Lakatos's falsificationism makes his insights about mathematical quasi-ontology more relevant to 20th century mathematics in which new structures are introduced by axiomatisation and not necessarily motivated by informal ancestors. The final section discusses the consequences of string theorists' claim to finality for the theory's mathematical make-up. I argue that ontological reductionism as advocated by particle physicists and the quest for mathematically deeper axioms do not necessarily lead to identical results.
Bird, John
2014-01-01
Introductory mathematics written specifically for students new to engineering Now in its sixth edition, Basic Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams. John Bird's approach is based on worked examples and interactive problems. This makes it ideal for students from a wide range of academic backgrounds as the student can work through the material at their own pace. Mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. The extensive and thorough topic coverage makes this an ideal text for introductory level engineering courses. This title is supported by a companion website with resources for both students and lecturers, including lists of essential formulae, multiple choice tests, full solutions for all 1,600 further questions contained within the practice exercises, and biographical information on t...
Engineering mathematics pocket book
Bird, John
2008-01-01
This compendium of essential formulae, definitions, tables and general information provides the mathematical information required by students, technicians, scientists and engineers in day-to-day engineering practice. A practical and versatile reference source, now in its fourth edition, the layout has been changed and the book has been streamlined to ensure the information is even more quickly and readily available - making it a handy companion on-site, in the office as well as for academic study. It also acts as a practical revision guide for those undertaking BTEC Nationals, Higher Nationals and NVQs, where engineering mathematics is an underpinning requirement of the course.All the essentials of engineering mathematics - from algebra, geometry and trigonometry to logic circuits, differential equations and probability - are covered, with clear and succinct explanations and illustrated with over 300 line drawings and 500 worked examples based in real-world application. The emphasis throughout the book is on ...
Olson, Travis A.
2016-01-01
Preservice Secondary Mathematics Teachers (PSMTs) were surveyed to identify if they could connect early-secondary mathematics content (Grades 7-9) in the Common Core State Standards for Mathematics (CCSSM) with mathematics content studied in content courses for certification in secondary teacher preparation programs. Respondents were asked to…
Methods of applied mathematics
Hildebrand, Francis B
1992-01-01
This invaluable book offers engineers and physicists working knowledge of a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, but nevertheless extremely useful when applied to typical problems in many different fields. It deals principally with linear algebraic equations, quadratic and Hermitian forms, operations with vectors and matrices, the calculus of variations, and the formulations and theory of linear integral equations. Annotated problems and exercises accompany each chapter.
Almanasreh, Hasan
2017-01-01
This study concerns the use of e-learning in the educational system shedding the light on its advantages and disadvantages, and analyzing its applicability either partially or totally. From mathematical perspectives, theories are developed to test the courses tendency to online transformation. This leads to a new trend of learning, the offline-online-offline learning (fnf-learning), it merges e-learning mode with the traditional orientation of education. The derivation of the new trend is bas...
Structural Completeness in Fuzzy Logics
Czech Academy of Sciences Publication Activity Database
Cintula, Petr; Metcalfe, G.
2009-01-01
Roč. 50, č. 2 (2009), s. 153-183 ISSN 0029-4527 R&D Projects: GA MŠk(CZ) 1M0545 Institutional research plan: CEZ:AV0Z10300504 Keywords : structral logics * fuzzy logics * structural completeness * admissible rules * primitive variety * residuated lattices Subject RIV: BA - General Mathematics
The Mathematics-language symbiosis: The learners' benefits ...
African Journals Online (AJOL)
On their own part, those whose course of study is mathematics are curious ... of Applied Linguistics propounded by Leonard Bloomfield in 1941 guides the study. ... a mathematics classroom so as to continue learning advanced concepts.
Wickerhauser, Mladen Victor
2003-01-01
Mathematics and Multimedia focuses on the mathematics behind multimedia applications. This timely and thoroughly modern text is a rigorous survey of selected results from algebra and analysis, requiring only undergraduate math skills.The topics are `gems' chosen for their usefulness in understanding and creating application software for multimedia signal processing and communication.The book is aimed at a wide audience, including computer science and mathematics majors and those interested in employing mathematics in multimedia design and implementation. For the instructor, the material is divided into six chapters that may be presented in six lecture hours each. Thus, the entire text may be covered in one semester, with time left for examinations and student projects. For the student,there are more than 100 exercises with complete solutions, and numerous example programs in Standard C. Each chapter ends with suggestions for further reading. A companion website provides more insight for both instructors and s...
Implementing the Standards. Teaching Discrete Mathematics in Grades 7-12.
Hart, Eric W.; And Others
1990-01-01
Discrete mathematics are defined briefly. A course in discrete mathematics for high school students and teaching discrete mathematics in grades 7 and 8 including finite differences, recursion, and graph theory are discussed. (CW)
Aigner, Martin; Spain, Philip G
2010-01-01
Mathematics is all around us. Often we do not realize it, though. Mathematics Everywhere is a collection of presentations on the role of mathematics in everyday life, through science, technology, and culture. The common theme is the unique position of mathematics as the art of pure thought and at the same time as a universally applicable science. The authors are renowned mathematicians; their presentations cover a wide range of topics. From compact discs to the stock exchange, from computer tomography to traffic routing, from electronic money to climate change, they make the "math inside" unde
Pappas, Theoni
1997-01-01
In this highly readable volume of vignettes of mathematical scandals and gossip, Theoni Pappas assembles 29 fascinating stories of intrigue and the bizarre ? in short, the human background of the history of mathematics. Might a haberdasher have changed Einstein's life? Why was the first woman mathematician murdered? How come there's no Nobel Prize in mathematics?Mathematics is principally about numbers, equations, and solutions, all of them precise and timeless. But, behind this arcane matter lies the sometimes sordid world of real people, whose rivalries and deceptions
Stroud, K A
2013-01-01
A groundbreaking and comprehensive reference that's been a bestseller since it first debuted in 1970, the new seventh edition of Engineering Mathematics has been thoroughly revised and expanded. Providing a broad mathematical survey, this innovative volume covers a full range of topics from the very basic to the advanced. Whether you're an engineer looking for a useful on-the-job reference or want to improve your mathematical skills, or you are a student who needs an in-depth self-study guide, Engineering Mathematics is sure to come in handy time and time again.
Establishing a mathematical Lesson Study culture in Danish teacher education
DEFF Research Database (Denmark)
Skott, Charlotte Krog; Østergaard, Camilla Hellsten
Bridging theory and practice is a general challenge in mathematics teacher education. Research shows that Lesson Study (LS) is an effective way for prospective mathematics teachers to build relations between course work and field experiences......Bridging theory and practice is a general challenge in mathematics teacher education. Research shows that Lesson Study (LS) is an effective way for prospective mathematics teachers to build relations between course work and field experiences...
Perera, Viranga; Mead, Chris; Buxner, Sanlyn; Horodyskyj, Lev; Semken, Steven; Lopatto, David; Anbar, Ariel
2016-10-01
General-education Science, Technology, Engineering, and Mathematics (STEM) courses are accepted as essential to a college education. An often cited reason is to train a scientifically literate populace who can think critically and make informed decisions about complex issues such as climate change, health care, and atomic energy. Goals of these STEM courses, therefore, go beyond content knowledge to include generating positive attitudes towards science, developing competence in evaluating scientific information in everyday life and understanding the nature of science. To gauge if such non-content learning outcomes are being met in our course, an online astrobiology course called Habitable Worlds, we administered the Classroom Undergraduate Research Experience (CURE) survey to students. The survey was administered before and after completion of the course for three semesters starting with the Fall 2014 semester and ending with the Fall 2015 semester (N = 774). A factor analysis indicated three factors on attitudes: toward science education, toward the interconnectedness of science with non-science fields, and toward the nature of science. Here we present some differences between students enrolled in online degree programs (o-course) and those enrolled in traditional undergraduate programs (i-course). While mean course grades were similar, changes in attitudes toward science differ significantly between o-course and i-course students. The o-course students began the course with more positive attitudes across all three factors than the i-course students. Their attitudes toward science education improved during the course, while the i-course students showed no change. Attitudes toward the other two factors declined in both populations during the course, but declines were smaller among o-course students. These differences may indicate lesser intrinsic motivation among the i-course students. The CURE survey has not been used before in an online course; therefore, we will
Mathematical physics applied mathematics for scientists and engineers
Kusse, Bruce R
2006-01-01
What sets this volume apart from other mathematics texts is its emphasis on mathematical tools commonly used by scientists and engineers to solve real-world problems. Using a unique approach, it covers intermediate and advanced material in a manner appropriate for undergraduate students. Based on author Bruce Kusse's course at the Department of Applied and Engineering Physics at Cornell University, Mathematical Physics begins with essentials such as vector and tensor algebra, curvilinear coordinate systems, complex variables, Fourier series, Fourier and Laplace transforms, differential and integral equations, and solutions to Laplace's equations
Science Academies' Refresher Course in Mathematics
Indian Academy of Sciences (India)
IAS Admin
2015-06-14
Jun 14, 2015 ... so that the participants can understand basics of the discussed topic which can be used in teaching to motivate undergraduate and postgraduate students. Resource Persons: Professors Gadadhar Misra (IISc, Bangalore), Maddaly Krishna (IMSc, Chennai), B. Ramakrishnan (HRI, Allahabad), HL Vasudeva ...
Interpolation for completely positive maps: Numerical solutions
Czech Academy of Sciences Publication Activity Database
Ambrozie, Calin-Grigore; Gheondea, A.
2018-01-01
Roč. 61, č. 1 (2018), s. 13-22 ISSN 1220-3874 Institutional support: RVO:67985840 Keywords : Choi matrix * completely positive * convex minimization Subject RIV: BA - General Mathematics OBOR OECD: Pure mathematics Impact factor: 0.362, year: 2016 http://ssmr.ro/bulletin/volumes/61-1/node3.html
House, J Daniel
2005-12-01
A recent study (1) of undergraduate students in a precalculus course indicated that they expressed slightly positive attitudes toward mathematics. It is important, however, to examine relationships between students' initial attitudes and achievement outcomes. The present purpose was to assess the relationship between self-beliefs and mathematics achievement for a large national sample of students from the TIMSS 1999 international sample (eighth graders) from Japan. Several significant relationships between mathematics beliefs and test scores were noted. In addition, the overall multiple regression equation that assessed the joint significance of the complete set of self-belief variables was significant (F7.65 = 159.48, p < .001) and explained 20.6% of the variance in mathematics achievement test scores.
Mathematical Rigor in Introductory Physics
Vandyke, Michael; Bassichis, William
2011-10-01
Calculus-based introductory physics courses intended for future engineers and physicists are often designed and taught in the same fashion as those intended for students of other disciplines. A more mathematically rigorous curriculum should be more appropriate and, ultimately, more beneficial for the student in his or her future coursework. This work investigates the effects of mathematical rigor on student understanding of introductory mechanics. Using a series of diagnostic tools in conjunction with individual student course performance, a statistical analysis will be performed to examine student learning of introductory mechanics and its relation to student understanding of the underlying calculus.
AORN sales professional course.
Moss, R; Thompson, J
1996-04-01
The sales professional course "Introduction to the Operating Room" offered by the AORN Center for Nursing Practice, Health Policy, and Research is an introductory program in OR etiquette. Its purpose is to provide sales professionals a working knowledge of OR protocol for them to function appropriately in OR settings. Sales professionals who have completed this course establish mutually beneficial perioperative partnerships with OR personnel. Sales professionals' effectiveness is strengthened as a result of their newly acquired knowledge of OR protocol, and patient safety is protected. An AORN Certificate of Recognition is awarded on completion of the course.
Kleene, Stephen Cole
1967-01-01
Undergraduate students with no prior instruction in mathematical logic will benefit from this multi-part text. Part I offers an elementary but thorough overview of mathematical logic of 1st order. Part II introduces some of the newer ideas and the more profound results of logical research in the 20th century. 1967 edition.
Huckstep, Peter
2002-01-01
Contends teachers must resist the temptation to suggest that, while children can create stories and melodies, they cannot create mathematics. Quotes mathematician G. H. Hardy: "A mathematician, like a painter or poet, is a 'maker' of patterns." Considers mathematics should be able to stand up for itself. (BT)
Batchelder, William H
2010-09-01
Mathematical psychology is a sub-field of psychology that started in the 1950s and has continued to grow as an important contributor to formal psychological theory, especially in the cognitive areas of psychology such as learning, memory, classification, choice response time, decision making, attention, and problem solving. In addition, there are several scientific sub-areas that were originated by mathematical psychologists such as the foundations of measurement, stochastic memory models, and psychologically motivated reformulations of expected utility theory. Mathematical psychology does not include all uses of mathematics and statistics in psychology, and indeed there is a long history of such uses especially in the areas of perception and psychometrics. What is most unique about mathematical psychology is its approach to theory construction. While accepting the behaviorist dictum that the data in psychology must be observable and replicable, mathematical models are specified in terms of unobservable formal constructs that can predict detailed aspects of data across multiple experimental and natural settings. By now almost all the substantive areas of cognitive and experimental psychology have formal mathematical models and theories, and many of these are due to researchers that identify with mathematical psychology. Copyright © 2010 John Wiley & Sons, Ltd. For further resources related to this article, please visit the WIREs website. Copyright © 2010 John Wiley & Sons, Ltd.
SUBJECT «NUMBER SYSTEMS» IN TWO-LEVELED FORMAT PREPARATION TEACHERS OF MATHEMATICS
Directory of Open Access Journals (Sweden)
V. I. Igoshin
2017-01-01
Full Text Available The aim of this article is to analyze the format of a two-leveled training – bachelor and master – future teachers of mathematics from the point of view of the content of mathematical material, which is to develop prospective teachers of mathematics at those two levels, shaping their professional competence.Methods. The study involves the theoretical methods: the analysis of pedagogical and methodical literature, normative documents; historical, comparative and logical analysis of the content of pedagogical mathematical education; forecasting, planning and designing of two-leveled methodical system of training of future teachers of mathematics.Results and scientific novelty. The level differentiation of the higher education system requires developing the appropriate curricula for undergraduate and graduate programs. The fundamental principle must be the principle of continuity – the magister must continue to deepen and broaden knowledge and skills, along with competences acquired, developed and formed on the undergraduate level. From these positions, this paper examines the course «Number Systems» – the most important in terms of methodology course for future mathematics teachers, and shows what content should be filled with this course at the undergraduate level and the graduate level. At the undergraduate level it is proposed to study classical number systems – natural, integer, rational, real and complex. Further extensions of the number systems are studied at the graduate level. The theory of numeric systems is presented as a theory of algebraic systems, arising at the intersection of algebra and mathematical logic. Here we study algebras over a field, division algebra over a field, an alternative algebra with division over the field, Jordan algebra, Lie algebra. Comprehension of bases of the theory of algebras by the master of the «mathematical education» profile will promote more conscious
The tools of mathematical reasoning
Lakins, Tamara J
2016-01-01
This accessible textbook gives beginning undergraduate mathematics students a first exposure to introductory logic, proofs, sets, functions, number theory, relations, finite and infinite sets, and the foundations of analysis. The book provides students with a quick path to writing proofs and a practical collection of tools that they can use in later mathematics courses such as abstract algebra and analysis. The importance of the logical structure of a mathematical statement as a framework for finding a proof of that statement, and the proper use of variables, is an early and consistent theme used throughout the book.
DEFF Research Database (Denmark)
Sørensen, John Aasted
2011-01-01
; construct a finite state machine for a given application. Apply these concepts to new problems. The teaching in Discrete Mathematics is a combination of sessions with lectures and students solving problems, either manually or by using Matlab. Furthermore a selection of projects must be solved and handed...... to accomplish the following: -Understand and apply formal representations in discrete mathematics. -Understand and apply formal representations in problems within discrete mathematics. -Understand methods for solving problems in discrete mathematics. -Apply methods for solving problems in discrete mathematics...... to new problems. Relations and functions: Define a product set; define and apply equivalence relations; construct and apply functions. Apply these concepts to new problems. Natural numbers and induction: Define the natural numbers; apply the principle of induction to verify a selection of properties...
Murray, James D
1993-01-01
The book is a textbook (with many exercises) giving an in-depth account of the practical use of mathematical modelling in the biomedical sciences. The mathematical level required is generally not high and the emphasis is on what is required to solve the real biological problem. The subject matter is drawn, e.g. from population biology, reaction kinetics, biological oscillators and switches, Belousov-Zhabotinskii reaction, reaction-diffusion theory, biological wave phenomena, central pattern generators, neural models, spread of epidemics, mechanochemical theory of biological pattern formation and importance in evolution. Most of the models are based on real biological problems and the predictions and explanations offered as a direct result of mathematical analysis of the models are important aspects of the book. The aim is to provide a thorough training in practical mathematical biology and to show how exciting and novel mathematical challenges arise from a genuine interdisciplinary involvement with the biosci...
Parshall, Karen Hunger
2002-01-01
Although today's mathematical research community takes its international character very much for granted, this "global nature" is relatively recent, having evolved over a period of roughly 150 years-from the beginning of the nineteenth century to the middle of the twentieth century. During this time, the practice of mathematics changed from being centered on a collection of disparate national communities to being characterized by an international group of scholars for whom the goal of mathematical research and cooperation transcended national boundaries. Yet, the development of an international community was far from smooth and involved obstacles such as war, political upheaval, and national rivalries. Until now, this evolution has been largely overlooked by historians and mathematicians alike. This book addresses the issue by bringing together essays by twenty experts in the history of mathematics who have investigated the genesis of today's international mathematical community. This includes not only develo...
Elements of the history of mathematics
Bourbaki, Nicolas
1994-01-01
This work gathers together, without substantial modification, the major ity of the historical Notes which have appeared to date in my Elements de M atMmatique. Only the flow has been made independent of the Elements to which these Notes were attached; they are therefore, in principle, accessible to every reader who possesses a sound classical mathematical background, of undergraduate standard. Of course, the separate studies which make up this volume could not in any way pretend to sketch, even in a summary manner, a complete and con nected history of the development of Mathematics up to our day. Entire parts of classical mathematics such as differential Geometry, algebraic Geometry, the Calculus of variations, are only mentioned in passing; others, such as the theory of analytic functions, that of differential equations or partial differ ential equations, are hardly touched on; all the more do these gaps become more numerous and more important as the modern era is reached. It goes without saying that t...
Directory of Open Access Journals (Sweden)
Sead Rešić
2015-09-01
Full Text Available It is very difficult to motivate students when it comes to a school subject like Mathematics. Teachers spend a lot of time trying to find something that will arouse interest in students. It is particularly difficult to find materials that are motivating enough for students that they eagerly wait for the next lesson. One of the solutions may be found in Vedic Mathematics. Traditional methods of teaching Mathematics create fear of this otherwise interesting subject in the majority of students. Fear increases failure. Often the traditional, conventional mathematical methods consist of very long lessons which are difficult to understand. Vedic Mathematics is an ancient system that is very flexible and encourages the development of intuition and innovation. It is a mental calculating tool that does not require a calculator because the calculator is embedded in each of us. Starting from the above problems of fear and failure in Mathematics, the goal of this paper is to do research with the control and the experimental group and to compare the test results. Two tests should be done for each of the groups. The control group would do the tests in the conventional way. The experimental group would do the first test in a conventional manner and then be subjected to different treatment, that is to say, be taught on the basis of Vedic Mathematics. After that, the second group would do the second test according to the principles of Vedic Mathematics. Expectations are that after short lectures on Vedic mathematics results of the experimental group would improve and that students will show greater interest in Mathematics.
Energy Technology Data Exchange (ETDEWEB)
Korsch, Hans Juergen
2013-07-01
This book mediates the fundamental terms and methods, which are necessary for an understanding of quantum mechanics. It shows, how mathematics can contribute to the understanding of quantum mechanics. The presented quantum-mechanical problems aim at the illustration and exercise of the most important mathematical methods. Because of the clear and understandable presentation and the numerous completely calculated examples and problems this book is suited for the self-study, for the accompanying of courses on quantum physics, for the accomplishment of exercise problems, and for the preparation on examinations.
Tang, Kwong-Tin
2007-01-01
Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student-oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to make students comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.
Tang, Kwong-Tin
2007-01-01
Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to make students comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.
International Nuclear Information System (INIS)
Agrachev, A.A.
2002-01-01
This volume is based on the lecture notes of the minicourses given in the frame of the school on Mathematical Control Theory held at the Abdus Salam ICTP from 3 to 28 September 2001. Mathematical Control Theory is a rapidly growing field which provides strict theoretical and computational tools for dealing with problems arising in electrical and aerospace engineering, automatics, robotics, applied chemistry, and biology etc. Control methods are also involved in questions pertaining to the development of countries in the South, such as wastewater treatment, agronomy, epidemiology, population dynamics, control of industrial and natural bio-reactors. Since most of these natural processes are highly nonlinear, the tools of nonlinear control are essential for the modelling and control of such processes. At present regular courses in Mathematical Control Theory are rarely included in the curricula of universities, and very few researchers receive enough background in the field. Therefore it is important to organize specific activities in the form of schools to provide the necessary background for those embarking on research in this field. The school at the Abdus Salam ICTP consisted of several minicourses intended to provide an introduction to various topics of Mathematical Control Theory, including Linear Control Theory (finite and infinite-dimensional), Nonlinear Control, and Optimal Control. The last week of the school was concentrated on applications of Mathematical Control Theory, in particular, those which are important for the development of non-industrialized countries. The school was intended primarily for mathematicians and mathematically oriented engineers at the beginning of their career. The typical participant was expected to be a graduate student or young post-doctoral researcher interested in Mathematical Control Theory. It was assumed that participants have sufficient background in Ordinary Differential Equations and Advanced Calculus. The volume
Energy Technology Data Exchange (ETDEWEB)
Agrachev, A A [Steklov Mathematical Institute, Moscow (Russian Federation); SISSA, Trieste [Italy; ed.
2002-07-15
This volume is based on the lecture notes of the minicourses given in the frame of the school on Mathematical Control Theory held at the Abdus Salam ICTP from 3 to 28 September 2001. Mathematical Control Theory is a rapidly growing field which provides strict theoretical and computational tools for dealing with problems arising in electrical and aerospace engineering, automatics, tics, applied chemistry, and biology etc. Control methods are also involved in questions pertaining to the development of countries in the South, such as wastewater treatment, agronomy, epidemiology, population dynamics, control of industrial and natural bio-reactors. Since most of these natural processes are highly nonlinear, the tools of nonlinear control are essential for the modelling and control of such processes. At present regular courses in Mathematical Control Theory are rarely included in the curricula of universities, and very few researchers receive enough background in the field. Therefore it is important to organize specific activities in the form of schools to provide the necessary background for those embarking on research in this field. The school at the Abdus Salam ICTP consisted of several minicourses intended to provide an introduction to various topics of Mathematical Control Theory, including Linear Control Theory (finite and infinite-dimensional), Nonlinear Control, and Optimal Control. The last week of the school was concentrated on applications of Mathematical Control Theory, in particular, those which are important for the development of non-industrialized countries. The school was intended primarily for mathematicians and mathematically oriented engineers at the beginning of their career. The typical participant was expected to be a graduate student or young post-doctoral researcher interested in Mathematical Control Theory. It was assumed that participants have sufficient background in Ordinary Differential Equations and Advanced Calculus. The volume contains
Experiences of Visually Impaired Students in Community College Math Courses
Swan, S. Tomeka
Blind and visually impaired students who attend community colleges face challenges in learning mathematics (Forrest, 2010). Scoy, McLaughlin, Walls, and Zuppuhaur (2006) claim these students are at a disadvantage in studying mathematics due to the visual and interactive nature of the subject, and by the way mathematics is taught. In this qualitative study six blind and visually impaired students attended three community colleges in one Mid-Atlantic state. They shared their experiences inside the mathematics classroom. Five of the students were enrolled in developmental level math, and one student was enrolled in college level math. The conceptual framework used to explore how blind and visually impaired students persist and succeed in math courses was Piaget's theory on constructivism. The data from this qualitative study was obtained through personal interviews. Based on the findings of this study, blind and visually impaired students need the following accommodations in order to succeed in community college math courses: Accommodating instructors who help to keep blind and visually impaired students motivated and facilitate their academic progress towards math completion, tutorial support, assistive technology, and a positive and inclusive learning environment.
Introductory course on differential equations
Gorain, Ganesh C
2014-01-01
Introductory Course on DIFFERENTIAL EQUATIONS provides an excellent exposition of the fundamentals of ordinary and partial differential equations and is ideally suited for a first course of undergraduate students of mathematics, physics and engineering. The aim of this book is to present the elementary theories of differential equations in the forms suitable for use of those students whose main interest in the subject are based on simple mathematical ideas. KEY FEATURES: Discusses the subject in a systematic manner without sacrificing mathematical rigour. A variety of exercises drill the students in problem solving in view of the mathematical theories explained in the book. Worked out examples illustrated according to the theories developed in the book with possible alternatives. Exhaustive collection of problems and the simplicity of presentation differentiate this book from several others. Material contained will help teachers as well as aspiring students of different competitive examinations.
Mathematical Modeling Applied to Maritime Security
Center for Homeland Defense and Security
2010-01-01
Center for Homeland Defense and Security, OUT OF THE CLASSROOM Download the paper: Layered Defense: Modeling Terrorist Transfer Threat Networks and Optimizing Network Risk Reduction” Students in Ted Lewis’ Critical Infrastructure Protection course are taught how mathematic modeling can provide...
COLLEGE STUDENTS’ PERCEPTIONS OF LEARNING MATHEMATICS AND USING COMPUTERS
Gok, Tolga
2016-01-01
Mathematics isthe key course to interpret the science and nature. A positive attitude shouldbe improved by learners to comprehend the logic of mathematics. However, mostof the research indicated that they were not interested in learning andstudying mathematics. Instead of understanding the basic principles, manystudents preferred to use sophisticated software packages or graphingcalculators for solving mathematics problems. Thus, these tools prevent theimprovement of their mathematical skills...
Bird, John
2014-01-01
A practical introduction to the core mathematics required for engineering study and practiceNow in its seventh edition, Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams.John Bird's approach is based on worked examples and interactive problems. This makes it ideal for students from a wide range of academic backgrounds as the student can work through the material at their own pace. Mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure
Logan, J David
2013-01-01
Praise for the Third Edition"Future mathematicians, scientists, and engineers should find the book to be an excellent introductory text for coursework or self-study as well as worth its shelf space for reference." -MAA Reviews Applied Mathematics, Fourth Edition is a thoroughly updated and revised edition on the applications of modeling and analyzing natural, social, and technological processes. The book covers a wide range of key topics in mathematical methods and modeling and highlights the connections between mathematics and the applied and nat
Handley, Bill
2012-01-01
This new, revised edition of the bestselling Speed Mathematics features new chapters on memorising numbers and general information, calculating statistics and compound interest, square roots, logarithms and easy trig calculations. Written so anyone can understand, this book teaches simple strategies that will enable readers to make lightning-quick calculations. People who excel at mathematics use better strategies than the rest of us; they are not necessarily more intelligent. With Speed Mathematics you'll discover methods to make maths easy and fun. This book is perfect for stud
Typewriting: A Course of Study.
1975
The document includes guidelines for the planning and organization of an instructional program for a course of study in typewriting and a complete course outline. The course is divided into the following units: (1) basic typewriting, (2) personal applications, (3) business and personal applications, (4) special applications, (5) office…
Puerto Rico State Dept. of Education, Hato Rey. Area for Vocational and Technical Education.
The three parts of this document are intended for a 3-semester course for pharmacy assistants. The course guide contains the following sections: occupational description; educational philosophy; general objectives; tasks/competencies for each unit; course organization; brief description of the topics; student standards; and evaluation methods.…
The Role of History and Philosophy of in University Mathematics
DEFF Research Database (Denmark)
Kjeldsen, Tinne Hoff; Carter, Jessica M H Grund
2014-01-01
uses of history and the research direction in philosophy of mathematics denoted ‘Philosophy of Mathematical Practice’. We link history and philosophy of mathematical practices to recent ideas in mathematics education in order to identify different roles history and philosophy can play in the learning...... of mathematics at university level. We present, analyse and discuss different examples of inclusions of history and philosophy in university programmes in mathematics. These presentations are divided into courses in history and philosophy, respectively, since this is the main way they are organised...... at the universities. We shall see, however, that the history courses address philosophical questions and that the philosophy courses employ historical material. The chapter ends with comments on how mathematics educations at university level can benefit from history and philosophy of mathematics...
Biermann, Carol A.; Sarinsky, Gary B.
This study was undertaken to determine whether a biology preparatory course given at an urban community college was helping students to develop the proper skills and background necessary for them to successfully complete follow-up courses in biology. A group of students who enrolled in a biology preparatory course, and subsequently, a follow-up anatomy and physiology or general biology course (experimental group) was compared to a group of students who should have registered for the preparatory course, but who enrolled directly into the anatomy and physiology or general biology course (control group). It was shown that there was no significant difference in their anatomy and physiology or general biology grades. Furthermore, only 16% of the initial group of preparatory students enrolled in and passed a follow-up biology course. Examination of the preparatory group using discriminant analysis ascertained that mathematics score was the principle discriminator between pass/fail groups. A stepwise multiple regression analysis of the variables explaining the preparatory grade showed that mathematics score, reading score, and type of high school degree explained 33% of the variance. Of the students who did pass the preparatory course and enrolled in a follow-up biology class, their preparatory grade was a good predictor of their achievement (measured by follow-up course grade), as determined by multiple regression.
Theoretical Basics of Teaching Discrete Mathematics
Directory of Open Access Journals (Sweden)
Y. A. Perminov
2012-01-01
Full Text Available The paper deals with the research findings concerning the process of mastering the theoretical basics of discrete mathematics by the students of vocational pedagogic profile. The methodological analysis is based on the subject and functions of the modern discrete mathematics and its role in mathematical modeling and computing. The modern discrete mathematics (i.e. mathematics of the finite type structures plays the important role in modernization of vocational training. It is especially rele- vant to training students for vocational pedagogic qualifications, as in the future they will be responsible for training the middle and the senior level specialists in engineer- ing and technical spheres. Nowadays in different industries, there arise the problems which require for their solving both continual – based on the classical mathematical methods – and discrete modeling. The teaching course of discrete mathematics for the future vocational teachers should be relevant to the target qualification and aimed at mastering the mathematical modeling, systems of computer mathematics and computer technologies. The author emphasizes the fundamental role of mastering the language of algebraic and serial structures, as well as the logical, algorithmic, combinatory schemes dominating in dis- crete mathematics. The guidelines for selecting the content of the course in discrete mathematics are specified. The theoretical findings of the research can be put into practice whilst developing curricula and working programs for bachelors and masters’ training.
2016-01-01
This book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering. In keeping with this spirit of modelling, the book includes a wealth of cross-references between the chapters and frequently points to the real-world context. The book combines classical approaches to modelling with novel areas such as soft computing methods, inverse problems, and model uncertainty. Attention is also paid to the interaction between models, data and the use of mathematical software. The reader will find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, probabilistic and discrete phenomena, and asymptotic and sensitivity analysis.
Sneyd, James
2009-01-01
There has been a long history of interaction between mathematics and physiology. This book looks in detail at a wide selection of mathematical models in physiology, showing how physiological problems can be formulated and studied mathematically, and how such models give rise to interesting and challenging mathematical questions. With its coverage of many recent models it gives an overview of the field, while many older models are also discussed, to put the modern work in context. In this second edition the coverage of basic principles has been expanded to include such topics as stochastic differential equations, Markov models and Gibbs free energy, and the selection of models has also been expanded to include some of the basic models of fluid transport, respiration/perfusion, blood diseases, molecular motors, smooth muscle, neuroendrocine cells, the baroreceptor loop, turboglomerular oscillations, blood clotting and the retina. Owing to this extensive coverage, the second edition is published in two volumes. ...
Eck, Christof; Knabner, Peter
2017-01-01
Mathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena. At the same time a wealth of important examples for the abstract concepts treated in the curriculum of mathematics degrees are given. An essential feature of this book is that mathematical structures are used as an ordering principle and not the fields of application. Methods from linear algebra, analysis and the theory of ordinary and partial differential equations are thoroughly introduced and applied in the modeling process. Examples of applications in the fields electrical networks, chemical reaction dynamics, population dynamics, fluid dynamics, elasticity theory and crystal growth are treated comprehensively.
Investigating Declining Enrolments in Secondary Mathematics
Hine, Gregory
2016-01-01
This research paper examines the perspective of the Heads of Learning Area: Mathematics (HOLAMs) within all Western Australian secondary schools as to why they felt capable students were not enrolling in the two higher-level mathematics courses of study. All HOLAMs were invited to participate in a single, anonymous online survey comprising…
Oral Assessment in Mathematics: Implementation and Outcomes
Iannone, P.; Simpson, A.
2012-01-01
In this article, we report the planning and implementation of an oral assessment component in a first-year pure mathematics module of a degree course in mathematics. Our aim was to examine potential barriers to using oral assessments, explore the advantages and disadvantages compared to existing common assessment methods and document the outcomes…
Logistics of Mathematical Modeling-Focused Projects
Harwood, R. Corban
2018-01-01
This article addresses the logistics of implementing projects in an undergraduate mathematics class and is intended both for new instructors and for instructors who have had negative experiences implementing projects in the past. Project implementation is given for both lower- and upper-division mathematics courses with an emphasis on mathematical…
Delaying Developmental Mathematics: The Characteristics and Costs
Johnson, Marianne; Kuennen, Eric
2004-01-01
This paper investigates which students delay taking a required developmental mathematics course and the impact of delay on student performance in introductory microeconomics. Analysis of a sample of 1462 students at a large Midwestern university revealed that, although developmental-level mathematics students did not reach the same level of…
Web-Based Implementation of Discrete Mathematics
Love, Tanzy; Keinert, Fritz; Shelley, Mack
2006-01-01
The Department of Mathematics at Iowa State University teaches a freshman-level Discrete Mathematics course with total enrollment of about 1,800 students per year. The traditional format includes large lectures, with about 150 students each, taught by faculty and temporary instructors in two class sessions per week and recitation sections, with…
A beginner's guide to mathematical logic
Smullyan, Raymond M
2014-01-01
Combining stories of great philosophers, quotations, and riddles with the fundamentals of mathematical logic, this new textbook for first courses in mathematical logic was written by the subject's creative master. Raymond Smullyan offers clear, incremental presentations of difficult logic concepts with creative explanations and unique problems related to proofs, propositional logic and first-order logic, undecidability, recursion theory, and other topics.
Mathematical methods for physical and analytical chemistry
Goodson, David Z
2011-01-01
Mathematical Methods for Physical and Analytical Chemistry presents mathematical and statistical methods to students of chemistry at the intermediate, post-calculus level. The content includes a review of general calculus; a review of numerical techniques often omitted from calculus courses, such as cubic splines and Newton's method; a detailed treatment of statistical methods for experimental data analysis; complex numbers; extrapolation; linear algebra; and differential equations. With numerous example problems and helpful anecdotes, this text gives chemistry students the mathematical
Modern mathematics for the engineer second series
1961-01-01
This volume and its predecessor were conceived to advance the level of mathematical sophistication in the engineering community. The books particularly focus on material relevant to solving the kinds of mathematical problems regularly confronted by engineers. Suitable as a text for advanced undergraduate and graduate courses as well as a reference for professionals, Volume Two's three-part treatment covers mathematical methods, statistical and scheduling studies, and physical phenomena. Contributions include chapters on chance processes and fluctuations by William Feller, Monte Carlo calculati
Modern mathematics for the engineer first series
1956-01-01
This volume and its successor were conceived to advance the level of mathematical sophistication in the engineering community. The books particularly focus on material relevant to solving the kinds of mathematical problems regularly confronted by engineers. Suitable as a text for advanced undergraduate and graduate courses as well as a reference for professionals, Volume One's three-part treatment covers mathematical models, probabilistic problems, and computational considerations. Contributions include chapters on linear and nonlinear oscillations by Solomon Lefschetz, on hyperbolic partial
Three Different Teaching Approaches in Pre-Calculus Bridging Mathematics
Miller-Reilly, Barbara
2007-01-01
During the past decade three different bridging mathematics courses have been offered at the University of Auckland. A case study approach was used to investigate the effectiveness of these courses: two larger courses and one individual study programme. A different teaching approach, by committed experienced teachers, was used in each course. The…
Pestman, Wiebe R
2009-01-01
This textbook provides a broad and solid introduction to mathematical statistics, including the classical subjects hypothesis testing, normal regression analysis, and normal analysis of variance. In addition, non-parametric statistics and vectorial statistics are considered, as well as applications of stochastic analysis in modern statistics, e.g., Kolmogorov-Smirnov testing, smoothing techniques, robustness and density estimation. For students with some elementary mathematical background. With many exercises. Prerequisites from measure theory and linear algebra are presented.
Berman, Elizabeth
1979-01-01
Mathematics Revealed focuses on the principles, processes, operations, and exercises in mathematics.The book first offers information on whole numbers, fractions, and decimals and percents. Discussions focus on measuring length, percent, decimals, numbers as products, addition and subtraction of fractions, mixed numbers and ratios, division of fractions, addition, subtraction, multiplication, and division. The text then examines positive and negative numbers and powers and computation. Topics include division and averages, multiplication, ratios, and measurements, scientific notation and estim
Mathematics Career Simulations: An Invitation
Sinn, Robb; Phipps, Marnie
2013-01-01
A simulated academic career was combined with inquiry-based learning in an upper-division undergraduate mathematics course. Concepts such as tenure, professional conferences and journals were simulated. Simulation procedures were combined with student-led, inquiry-based classroom formats. A qualitative analysis (ethnography) describes the culture…
From Square Dance to Mathematics
Bremer, Zoe
2010-01-01
In this article, the author suggests a cross-curricular idea that can link with PE, dance, music and history. Teacher David Schmitz, a maths teacher in Illinois who was also a square dance caller, had developed a maths course that used the standard square dance syllabus to teach mathematical principles. He presents an intensive, two-week course…
Mathematical problems in image processing
International Nuclear Information System (INIS)
Chidume, C.E.
2000-01-01
This is the second volume of a new series of lecture notes of the Abdus Salam International Centre for Theoretical Physics. This volume contains the lecture notes given by A. Chambolle during the School on Mathematical Problems in Image Processing. The school consisted of two weeks of lecture courses and one week of conference
Statistics for mathematicians a rigorous first course
Panaretos, Victor M
2016-01-01
This textbook provides a coherent introduction to the main concepts and methods of one-parameter statistical inference. Intended for students of Mathematics taking their first course in Statistics, the focus is on Statistics for Mathematicians rather than on Mathematical Statistics. The goal is not to focus on the mathematical/theoretical aspects of the subject, but rather to provide an introduction to the subject tailored to the mindset and tastes of Mathematics students, who are sometimes turned off by the informal nature of Statistics courses. This book can be used as the basis for an elementary semester-long first course on Statistics with a firm sense of direction that does not sacrifice rigor. The deeper goal of the text is to attract the attention of promising Mathematics students.
Program Costs and Student Completion
Manning, Terri M.; Crosta, Peter M.
2014-01-01
Community colleges are under pressure to increase completion rates, prepare students for the workplace, and contain costs. Colleges need to know the financial implications of what are often perceived as routine decisions: course scheduling, program offerings, and the provision of support services. This chapter presents a methodology for estimating…
Understanding engineering mathematics
Cox, Bill
2001-01-01
* Unique interactive style enables students to diagnose their strengths and weaknesses and focus their efforts where needed* Ideal for self-study and tutorial work, building from an initially supportive approach to the development of independent learning skills * Free website includes solutions to all exercises, additional topics and applications, guide to learning mathematics, and practice materialStudents today enter engineering courses with a wide range of mathematical skills, due to the many different pre-university qualifications studied. Bill Cox''s aim is for students to gain a thorough understanding of the maths they are studying, by first strengthening their background in the essentials of each topic. His approach allows a unique self-paced study style, in which students Review their strengths and weaknesses through self-administered diagnostic tests, then focus on Revision where they need it, to finally Reinforce the skills required.The book is structured around a highly successful ''transition'' ma...
TUTOR SUPPORT OF TEACHING MATHEMATICS WITH INFORMATION AND COMMUNICATION TECHNOLOGIES
Directory of Open Access Journals (Sweden)
Kateryna P. Osadcha
2017-10-01
Full Text Available The paper describes the tutor activity in the process of mathematics teaching support on the basis of the use of information and communication technologies (ICT. The author has analysed the available Internet resources and mobile applications in mathematics, which are classified according to their functional purposes into groups: systems of mass open courses, platforms for adaptive learning, video channels, mathematical online simulators, online tasks, mathematical games, mathematical portals, online platforms, mathematical sites, mathematical online platforms, mathematical services, mobile applications in mathematics (simulators, games, generators of example, assistant programs, training complexes, calculators. In accordance with the student age categories mathematical information and communication technologies are divided into three groups: for elementary school students, secondary school students and high school students. The basic ICT tools for teaching mathematics are outlined. The algorithm for constructing tutorial classes with their application is presented.
Jost, Jürgen
2015-01-01
The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully motivated, explained and illustrated by examples so that many of the more technical proofs can be omitted. The book can therefore be used: · simply as an overview of the panorama of mathematical structures and the relations between them, to be supplemented by more detailed texts whenever you want to acquire a working knowledge of some structure · by itself as a first introduction to abstract mathematics · together with existing textbooks, to put their results into a more general perspective · to gain a new and hopefully deeper perspective after having studied such textbooks Mathematical Concepts has a broader scope and is less detaile...