Perceived mathematical ability under challenge: a longitudinal perspective on sex segregation among STEM degree fields.

Science.gov (United States)

Nix, Samantha; Perez-Felkner, Lara; Thomas, Kirby

2015-01-01

Students' perceptions of their mathematics ability vary by gender and seem to influence science, technology, engineering, and mathematics (STEM) degree choice. Related, students' perceptions during academic difficulty are increasingly studied in educational psychology, suggesting a link between such perceptions and task persistence. Despite interest in examining the gender disparities in STEM, these concepts have not been considered in tandem. In this manuscript, we investigate how perceived ability under challenge-in particular in mathematics domains-influences entry into the most sex-segregated and mathematics-intensive undergraduate degrees: physics, engineering, mathematics, and computer science (PEMC). Using nationally representative Education Longitudinal Study of 2002 (ELS) data, we estimate the influence of perceived ability under challenging conditions on advanced high school science course taking, selection of an intended STEM major, and specific major type 2 years after high school. Demonstrating the importance of specificity when discussing how gender influences STEM career pathways, the intersecting effects of gender and perceived ability under mathematics challenge were distinct for each scientific major category. Perceived ability under challenge in secondary school varied by gender, and was highly predictive of selecting PEMC and health sciences majors. Notably, women's 12th grade perceptions of their ability under mathematics challenge increased their probability of selecting PEMC majors over and above biology. In addition, gender moderated the effect of growth mindset on students' selection of health science majors. Perceptions of ability under challenge in general and verbal domains also influenced retention in and declaration of certain STEM majors. The implications of these results are discussed, with particular attention to access to advanced scientific coursework in high school and interventions aimed at enhancing young women's perceptions of

Perceived mathematical ability under challenge: a longitudinal perspective on sex segregation among STEM degree fields

Science.gov (United States)

Nix, Samantha; Perez-Felkner, Lara; Thomas, Kirby

2015-01-01

Students' perceptions of their mathematics ability vary by gender and seem to influence science, technology, engineering, and mathematics (STEM) degree choice. Related, students' perceptions during academic difficulty are increasingly studied in educational psychology, suggesting a link between such perceptions and task persistence. Despite interest in examining the gender disparities in STEM, these concepts have not been considered in tandem. In this manuscript, we investigate how perceived ability under challenge—in particular in mathematics domains—influences entry into the most sex-segregated and mathematics-intensive undergraduate degrees: physics, engineering, mathematics, and computer science (PEMC). Using nationally representative Education Longitudinal Study of 2002 (ELS) data, we estimate the influence of perceived ability under challenging conditions on advanced high school science course taking, selection of an intended STEM major, and specific major type 2 years after high school. Demonstrating the importance of specificity when discussing how gender influences STEM career pathways, the intersecting effects of gender and perceived ability under mathematics challenge were distinct for each scientific major category. Perceived ability under challenge in secondary school varied by gender, and was highly predictive of selecting PEMC and health sciences majors. Notably, women's 12th grade perceptions of their ability under mathematics challenge increased their probability of selecting PEMC majors over and above biology. In addition, gender moderated the effect of growth mindset on students' selection of health science majors. Perceptions of ability under challenge in general and verbal domains also influenced retention in and declaration of certain STEM majors. The implications of these results are discussed, with particular attention to access to advanced scientific coursework in high school and interventions aimed at enhancing young women

STEM Education and Leadership: A Mathematics and Science Partnership Approach

OpenAIRE

Twyford, John; Järvinen, Esa-Matti

2010-01-01

The issue of attracting more young people to choose careers in science, technology, engineering, and mathematics (STEM) has become critical for the United States. Recent studies by businesses, associations, and education have all agreed that the United States’ performance in the STEM disciplines have placed our nation in grave risk of relinquishing its competitive edge in the marketplace (e.g., Rising above the gathering storm, 2007). A Congressional Research Service (2006) report stated that...

Problematic Topics in First-Year Mathematics: Lecturer and Student Views

Science.gov (United States)

Ní Shé, Caitríona; Mac an Bhaird, Ciarán; Ní Fhloinn, Eabhnat; O'Shea, Ann

2017-01-01

In this paper we report on the outcomes of two surveys carried out in higher education institutions of Ireland; one of students attending first-year undergraduate non-specialist mathematics modules and another of their lecturers. The surveys aimed to identify the topics that these students found difficult, whether they had most difficulty with the…

Research Collaboration Workshop for Women in Mathematical Biology

CERN Document Server

Miller, Laura

2017-01-01

Inspired by the Research Collaboration Workshop for Women in Mathematical Biology, this volume contains research and review articles that cover topics ranging from models of animal movement to the flow of blood cells in the embryonic heart. Hosted by the National Institute for Mathematics and Biological Synthesis (NIMBioS), the workshop brought together women working in biology and mathematics to form four research groups that encouraged multidisciplinary collaboration and lifetime connections in the STEM field. This volume introduces many of the topics from the workshop, including the aerodynamics of spider ballooning; sleep, circadian rhythms, and pain; blood flow regulation in the kidney; and the effects of antimicrobial therapy on gut microbiota and microbiota and Clostridium difficile. Perfect for students and researchers in mathematics and biology, the papers included in this volume offer an introductory glimpse at recent research in mathematical biology. .

Mobile STEMship Discovery Center: K-12 Aerospace-Based Science, Technology, Engineering, and Mathematics (STEM) Mobile Teaching Vehicle

Science.gov (United States)

2015-08-03

AND SUBTITLE Mobile STEMship Discovery Center: K-12 Aerospace-Based Science, Technology, Engineering, and Mathematics (STEM) Mobile Teaching Vehicle...Center program to be able to expose Science Technology, Engineering and Mathematics (STEM) space-inspired science centers for DC Metro beltway schools

Can Parents Influence Children's Mathematics Achievement and Persistence in STEM Careers?

Science.gov (United States)

Ing, Marsha

2014-01-01

This study explores the relationship between parental motivational practices, Children's mathematics achievement trajectories, and persistence in science, technology, engineering, and mathematics (STEM) careers. Nationally representative longitudinal survey data were analyzed using latent growth curve analysis. Findings indicate that…

Solar thermal energy as a topic in secondary mathematics classrooms

Energy Technology Data Exchange (ETDEWEB)

Brinkmann, A.; Brinkmann, K. [EnviPro Environmental Process Engineering Prof. Dr. Klaus Brinkmann, Iserlohn (Germany)

2004-07-01

One of the most effective methods to achieve a sustainable change of our momentary existing power supply system to a system mainly based on renewable energy conversion is the education of our children. For this purpose the compulsory school subject mathematics appears to be suitable. In order to promote renewable energy issues in mathematics classrooms, the authors have developed a special didactical concept to open this field for students, as well as for their teachers. The aim of this paper is to present firstly an overview of our concept and secondly examples of problems to the special topic of solar thermal energy, developed on the basis of our concept. (orig.)

Science, Technology, Engineering, and Mathematics (STEM) Education Issues and Legislative Options

National Research Council Canada - National Science Library

Kuenzi, Jeffrey J; Matthews, Christine M; Mangan, Bonnie F

2006-01-01

There is growing concern that the United States is not preparing a sufficient number of students, teachers, and practitioners in the areas of science, technology, engineering, and mathematics (STEM...

Motivating Children to Develop Their Science, Technology, Engineering, and Mathematics (STEM) Talent

Science.gov (United States)

Andersen, Lori

2013-01-01

Motivation in mathematics and science appears to be more important to STEM occupational choice than ability. Using the expectancy value model, parents may be able to recognize potential barriers to children's selection of a STEM occupation and take actions to help facilitate talent development. These are especially important for parents of…

Topic Order in Introductory Physics and its Impact on the STEM Curricular Ladder

Directory of Open Access Journals (Sweden)

Teresa L Larkin

2017-02-01

Full Text Available Introductory physics courses are an important rung on the curricular ladder in STEM. These courses help to strengthen students critical thinking and problem solving skills while simultaneously introducing them to many topics they will explore in more detail in later courses in physics and engineering. For these reasons, introductory physics is a required element on the curricular ladder. Most often, introductory physics is offered as a two-semester sequence with basic mechanics being taught in the first semester and electricity and magnetism in the second. In fact, this curricular sequence has not been altered in decades. Is there a reason for this? There are many other enduring questions that arise pertaining to these foundation courses in physics. These questions include: Does taking the introductory course sequence “out of order” have an impact on student learning in physics? What topics should be taught? When should these topics be taught? What topics could be left out? The list of questions is essentially endless. This paper will address some of these questions in part, through a brief discussion on student learning in a second-semester algebra-based physics course. Connections will also be made to the broader curricular ladder in STEM. To this end, an illustration that makes connections to an engineering statics course will be presented. This discussion will conclude by presenting some broader implications for the larger STEM communities.

Mathematics and Science Teachers' Use of and Confidence in Empirical Reasoning: Implications for STEM Teacher Preparation

Science.gov (United States)

Wasserman, Nicholas H.; Rossi, Dara

2015-01-01

The recent trend to unite mathematically related disciplines (science, technology, engineering, and mathematics) under the broader umbrella of STEM education has advantages. In this new educational context of integration, however, STEM teachers need to be able to distinguish between sufficient proof and reasoning across different disciplines,…

Inverted Classroom by Topic - A Study in Mathematics for Electrical Engineering Students

Directory of Open Access Journals (Sweden)

Isabel Braun

2014-06-01

Full Text Available The inverted classroom is a teaching model, where the students prepare for classroom by watching video lectures. The classroom time is then dedicated to individual practice. We evaluated a mathematics course for electrical engineering students throughout three semesters, where 20% of the topics were taught using the inverted classroom model. The aim was to find out whether the model can help to better address groups with large differences in prior knowledge in mathematics. We report mainly positive feedback from the students, although the opinions vary greatly between the groups. The students appreciate the increased amount of practice in the classroom as well as the possibility to learn at their own pace. Exam performance remained constant in the topics taught using the inverted classroom compared to previous semesters. The exam performance of weaker students also remained constant.

The Effect of STEM Learning through the Project of Designing Boat Model toward Student STEM Literacy

Science.gov (United States)

Tati, T.; Firman, H.; Riandi, R.

2017-09-01

STEM Learning focusses on development of STEM-literate society, the research about implementation of STEM learning to develope students’ STEM literacy is still limited. This study is aimed to examine the effect of implementation STEM learning through the project of designing boat model on students STEM literacy in energy topic. The method of this study was a quasi-experiment with non-randomized pretest-posttest control group design. There were two classes involved, the experiment class used Project Based Learning with STEM approach and control class used Project-Based Learning without STEM approach. A STEM Literacy test instrument was developed to measure students STEM literacy which consists of science literacy, mathematics literacy, and technology-engineering literacy. The analysis showed that there were significant differences on improvement science literacy, mathematics technology-engineering between experiment class and control class with effect size more than 0.8 (large effect). The difference of improvement of STEM literacy between experiment class and control class is caused by the existence of design engineering activity which required students to apply the knowledge from every field of STEM. The challenge that was faced in STEM learning through design engineering activity was how to give the students practice to integrate STEM field in solving the problems. In additional, most of the students gave positive response toward implementation of STEM learning through design boat model project.

Uses of technology in lower secondary mathematics education : a concise topical survey

NARCIS (Netherlands)

Drijvers, P.H.M.; Ball, Lynda; Barzel, Barbel; Heid, M. Kathleen; Cao, Yiming; Maschietto, Michela

2016-01-01

This topical survey provides an overview of the current state of the art in technology use in mathematics education, including both practice-oriented experiences and research-based evidence, as seen from an international perspective. Three core themes are discussed: Evidence of effectiveness;

Integration of Media Design Processes in Science, Technology, Engineering, and Mathematics (STEM) Education

Science.gov (United States)

Karahan, Engin; Canbazoglu Bilici, Sedef; Unal, Aycin

2015-01-01

Problem Statement: Science, technology, engineering and mathematics (STEM) education aims at improving students' knowledge and skills in science and math, and thus their attitudes and career choices in these areas. The ultimate goal in STEM education is to create scientifically literate individuals who can survive in the global economy. The…

Perceived Mathematical Ability under Challenge: A Longitudinal Perspective on Sex Segregation among STEM Degree Fields

Directory of Open Access Journals (Sweden)

Samantha eNix

2015-06-01

Full Text Available Students’ perceptions of their mathematics ability vary by gender and seem to influence science, technology, engineering, and math (STEM degree choice. Related, students’ perceptions during academic difficulty are increasingly studied in educational psychology, suggesting a link between such perceptions and task persistence. Despite interest in examining the gender disparities in STEM, these concepts have not been considered in tandem. We investigate how perceived ability under challenge – in particular in mathematics domains – influences entry into the most sex-segregated and mathematics-intensive undergraduate degrees: physics, engineering, mathematics, and computer science (PEMC. Using nationally representative Education Longitudinal Study of 2002 (ELS data, we estimate the influence of perceived ability under challenging conditions on advanced high school science course taking, selection of an intended STEM major, and specific major type two years after high school. Demonstrating the importance of specificity when discussing how gender influences STEM career pathways, the intersecting effects of gender and perceived ability under mathematics challenge were distinct for each scientific major category. Perceived ability under challenge in secondary school varied by gender, and was highly predictive of selecting PEMC and health sciences majors. Notably, women’s 12th grade perceptions of their ability under mathematics challenge increased the probability that they would select PEMC majors, increasing women's probability of selecting PEMC over and above biology. In addition, gender moderated the effect of growth mindset on students’ selection of health science majors. The implications of these results are discussed, with particular attention to access to advanced scientific coursework in high school and interventions aimed at enhancing young women’s perceptions of their ability to facilitate their pathways to scientific degrees.

Student and high-school characteristics related to completing a science, technology, engineering or mathematics (STEM) major in college

Science.gov (United States)

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.

STEM learning on electricity using arduino-phet based experiment to improve 8th grade students’ STEM literacy

Science.gov (United States)

Prima, E. C.; Oktaviani, T. D.; Sholihin, H.

2018-05-01

Technology is the application of scientific knowledge for practical purposes, especially in industry. One way to support the development of the technology is by integrating the use of technology and build the technology with the learning process in the form of STEM (science, technology, engineering, mathematics) Learning approach. Applying STEM Learning could improve Students’ STEM Literacy. The learning approach is applied in every aspect of Learning including the application of STEM Learning in the lesson plan and worksheet. The method used in this research is weak experimental method. One group class (N=15) is taken and learn using STEM Learning approach. The topic choosen is the electricity topic which is separated into electrical circuit and parameters. The learning process is separated into 3 meetings. 15 Students are given a STEM Literacy test item before and after the lesson. The result of the normalized gain shows there are improvement in students’ STEM Literacy by 0.16 categorieed as low improvement. The most higher improvement is the students’ technology literacy, because students learn using the same technology in every meeting. This factor influences students’ technology literacy so the result is higher than another.

Mathematical Modelling Approach in Mathematics Education

Science.gov (United States)

Arseven, Ayla

2015-01-01

The topic of models and modeling has come to be important for science and mathematics education in recent years. The topic of "Modeling" topic is especially important for examinations such as PISA which is conducted at an international level and measures a student's success in mathematics. Mathematical modeling can be defined as using…

STEM development: A study of 6th--12th grade girls' interest and confidence in mathematics and science

Science.gov (United States)

Heaverlo, Carol Ann

Researchers, policymakers, business, and industry have indicated that the United States will experience a shortage of professionals in the Science, Technology, Engineering, and Mathematics (STEM) fields. Several strategies have been suggested to address this shortage, one of which includes increasing the representation of girls and women in the STEM fields. In order to increase the representation of women in the STEM fields, it is important to understand the developmental factors that impact girls' interest and confidence in STEM academics and extracurricular programs. Research indicates that greater confidence leads to greater interest and vice versa (Denissen et al., 2007). This study identifies factors that impact girls' interest and confidence in mathematics and science, defined as girls' STEM development. Using Bronfenbrenner's (2005) bioecological model of human development, several factors were hypothesized as having an impact on girls' STEM development; specifically, the macrosystems of region of residence and race/ethnicity, and the microsystems of extracurricular STEM activities, family STEM influence, and math/science teacher influence. Hierarchical regression analysis results indicated that extracurricular STEM involvement and math teacher influence were statistically significant predictors for 6--12th grade girls' interest and confidence in mathematics. Furthermore, hierarchical regression analysis results indicated that the only significant predictor for 6--12th grade girls' interest and confidence in science was science teacher influence. This study provides new knowledge about the factors that impact girls' STEM development. Results can be used to inform and guide educators, administrators, and policy makers in developing programs and policy that support and encourage the STEM development of 6--12th grade girls.

Using Food Science Demonstrations to Engage Students of All Ages in Science, Technology, Engineering, and Mathematics (STEM)

Science.gov (United States)

Schmidt, Shelly J.; Bohn, Dawn M.; Rasmussen, Aaron J.; Sutherland, Elizabeth A.

2012-01-01

The overarching goal of the Science, Technology, Engineering, and Mathematics (STEM) Education Initiative is to foster effective STEM teaching and learning throughout the educational system at the local, state, and national levels, thereby producing science literate citizens and a capable STEM workforce. To contribute to achieving this goal, we…

National STEM School Education Strategy: A Comprehensive Plan for Science, Technology, Engineering and Mathematics Education in Australia

Science.gov (United States)

Education Council, 2015

2015-01-01

There are many factors that affect student engagement in science, technology, engineering and mathematics (STEM). Underlying this are the views of the broader community--and parents in particular--about the relevance of STEM, and the approach to the teaching and learning of STEM from the early years and continuing throughout schooling. Connected…

Air Force-Wide Needs for Science, Technology, Engineering, and Mathematics (STEM) Academic Degrees

Science.gov (United States)

2014-01-01

anthropology (0190), mathematical statistics (1529), general math (AFIT faculty only), metallurgy (1321), and actuarial science (1510). 97 Tier II. Few...linking or frEE DownloAD At www.rand.org C O R P O R A T I O N Research Report Air Force–Wide Needs for Science , Technology, Engineering, and...00-00-2014 4. TITLE AND SUBTITLE Air Force-Wide Needs for Science , Technology, Engineering, and Mathematics (STEM) Academic Degrees 5a. CONTRACT

Women 1.5 Times More Likely to Leave STEM Pipeline after Calculus Compared to Men: Lack of Mathematical Confidence a Potential Culprit.

Directory of Open Access Journals (Sweden)

Jessica Ellis

Full Text Available The substantial gender gap in the science, technology, engineering, and mathematics (STEM workforce can be traced back to the underrepresentation of women at various milestones in the career pathway. Calculus is a necessary step in this pathway and has been shown to often dissuade people from pursuing STEM fields. We examine the characteristics of students who begin college interested in STEM and either persist or switch out of the calculus sequence after taking Calculus I, and hence either continue to pursue a STEM major or are dissuaded from STEM disciplines. The data come from a unique, national survey focused on mainstream college calculus. Our analyses show that, while controlling for academic preparedness, career intentions, and instruction, the odds of a woman being dissuaded from continuing in calculus is 1.5 times greater than that for a man. Furthermore, women report they do not understand the course material well enough to continue significantly more often than men. When comparing women and men with above-average mathematical abilities and preparedness, we find women start and end the term with significantly lower mathematical confidence than men. This suggests a lack of mathematical confidence, rather than a lack of mathematically ability, may be responsible for the high departure rate of women. While it would be ideal to increase interest and participation of women in STEM at all stages of their careers, our findings indicate that if women persisted in STEM at the same rate as men starting in Calculus I, the number of women entering the STEM workforce would increase by 75%.

Women 1.5 Times More Likely to Leave STEM Pipeline after Calculus Compared to Men: Lack of Mathematical Confidence a Potential Culprit.

Science.gov (United States)

Ellis, Jessica; Fosdick, Bailey K; Rasmussen, Chris

2016-01-01

The substantial gender gap in the science, technology, engineering, and mathematics (STEM) workforce can be traced back to the underrepresentation of women at various milestones in the career pathway. Calculus is a necessary step in this pathway and has been shown to often dissuade people from pursuing STEM fields. We examine the characteristics of students who begin college interested in STEM and either persist or switch out of the calculus sequence after taking Calculus I, and hence either continue to pursue a STEM major or are dissuaded from STEM disciplines. The data come from a unique, national survey focused on mainstream college calculus. Our analyses show that, while controlling for academic preparedness, career intentions, and instruction, the odds of a woman being dissuaded from continuing in calculus is 1.5 times greater than that for a man. Furthermore, women report they do not understand the course material well enough to continue significantly more often than men. When comparing women and men with above-average mathematical abilities and preparedness, we find women start and end the term with significantly lower mathematical confidence than men. This suggests a lack of mathematical confidence, rather than a lack of mathematically ability, may be responsible for the high departure rate of women. While it would be ideal to increase interest and participation of women in STEM at all stages of their careers, our findings indicate that if women persisted in STEM at the same rate as men starting in Calculus I, the number of women entering the STEM workforce would increase by 75%.

Women 1.5 Times More Likely to Leave STEM Pipeline after Calculus Compared to Men: Lack of Mathematical Confidence a Potential Culprit

Science.gov (United States)

Ellis, Jessica; Fosdick, Bailey K.; Rasmussen, Chris

2016-01-01

The substantial gender gap in the science, technology, engineering, and mathematics (STEM) workforce can be traced back to the underrepresentation of women at various milestones in the career pathway. Calculus is a necessary step in this pathway and has been shown to often dissuade people from pursuing STEM fields. We examine the characteristics of students who begin college interested in STEM and either persist or switch out of the calculus sequence after taking Calculus I, and hence either continue to pursue a STEM major or are dissuaded from STEM disciplines. The data come from a unique, national survey focused on mainstream college calculus. Our analyses show that, while controlling for academic preparedness, career intentions, and instruction, the odds of a woman being dissuaded from continuing in calculus is 1.5 times greater than that for a man. Furthermore, women report they do not understand the course material well enough to continue significantly more often than men. When comparing women and men with above-average mathematical abilities and preparedness, we find women start and end the term with significantly lower mathematical confidence than men. This suggests a lack of mathematical confidence, rather than a lack of mathematically ability, may be responsible for the high departure rate of women. While it would be ideal to increase interest and participation of women in STEM at all stages of their careers, our findings indicate that if women persisted in STEM at the same rate as men starting in Calculus I, the number of women entering the STEM workforce would increase by 75%. PMID:27410262

Fullness of life as minimal unit: Science, technology, engineering, and mathematics (STEM) learning across the life span.

NARCIS (Netherlands)

Roth, W.-M.; Eijck, van M.W.

2011-01-01

Challenged by a National Science Foundation–funded conference, 2020 Vision: The Next Generation of STEM Learning Research, in which participants were asked to recognize science, technology, engineering, and mathematics (STEM) learning as lifelong, life-wide, and life-deep, we draw upon 20 years of

Defining the Relationship of Student Achievement Between STEM Subjects Through Canonical Correlation Analysis of 2011 Trends in International Mathematics and Science Study (TIMSS) Data

Science.gov (United States)

O'Neal, Melissa Jean

Canonical correlation analysis was used to analyze data from Trends in International Mathematics and Science Study (TIMSS) 2011 achievement databases encompassing information from fourth/eighth grades. Student achievement in life science/biology was correlated with achievement in mathematics and other sciences across three analytical areas: mathematics and science student performance, achievement in cognitive domains, and achievement in content domains. Strong correlations between student achievement in life science/biology with achievement in mathematics and overall science occurred for both high- and low-performing education systems. Hence, partial emphases on the inter-subject connections did not always lead to a better student learning outcome in STEM education. In addition, student achievement in life science/biology was positively correlated with achievement in mathematics and science cognitive domains; these patterns held true for correlations of life science/biology with mathematics as well as other sciences. The importance of linking student learning experiences between and within STEM domains to support high performance on TIMSS assessments was indicated by correlations of moderate strength (57 TIMSS assessments was indicated by correlations of moderate strength (57 mathematics, and other sciences. At the eighth grade level, students who built increasing levels of cognitive complexity upon firm foundations were prepared for successful learning throughout their educational careers. The results from this investigation promote a holistic design of school learning opportunities to improve student achievement in life science/biology and other science, technology, engineering, and mathematics (STEM) subjects at the elementary and middle school levels. While the curriculum can vary from combined STEM subjects to separated mathematics or science courses, both professional learning communities (PLC) for teachers and problem-based learning (PBL) for learners can be

Topical administration of orbital fat-derived stem cells promotes corneal tissue regeneration.

Science.gov (United States)

Lin, Ko-Jo; Loi, Mei-Xue; Lien, Gi-Shih; Cheng, Chieh-Feng; Pao, Hsiang-Yin; Chang, Yun-Chuang; Ji, Andrea Tung-Qian; Ho, Jennifer Hui-Chun

2013-06-14

Topical administration of eye drops is the major route for drug delivery to the cornea. Orbital fat-derived stem cells (OFSCs) possess an in vitro corneal epithelial differentiation capacity. Both the safety and immunomodulatory ability of systemic OFSC transplantation were demonstrated in our previous work. In this study, we investigated the safety, therapeutic effect, and mechanism(s) of topical OFSC administration in an extensive alkali-induced corneal wound. Corneal injury was created by contact of a piece of 0.5 N NaOH-containing filter paper on the corneal surface of a male Balb/c mouse for 30 s. The area of the filter paper covered the central 70% or 100% of the corneal surface. OFSCs (2 × 10(5)) in 5 μl phosphate-buffered saline (PBS) were given by topical administration (T) twice a day or by two intralimbal (IL) injections in the right cornea, while 5 μl of PBS in the left cornea served as the control. Topical OFSCs promoted corneal re-epithelialization of both the limbal-sparing and limbal-involved corneal wounds. In the first three days, topical OFSCs significantly reduced alkali-induced corneal edema and stromal infiltration according to a histopathological examination. Immunohistochemistry and immunofluorescence staining revealed that transplanted cells were easily detectable in the corneal epithelium, limbal epithelium and stroma, but only some of transplanted cells at the limbal epithelium had differentiated into cytokeratin 3-expressing cells. OFSCs did not alter neutrophil (Ly6G) levels in the cornea, but significantly reduced macrophage (CD68) infiltration and inducible nitrous oxide synthetase (iNOS) production during acute corneal injury as quantified by a Western blot analysis. Continuous topical administration of OFSCs for seven days improved corneal transparency, and this was accompanied by diffuse stromal engraftment of transplanted cells and differentiation into p63-expressing cells at the limbal area. The therapeutic effect of the

Topical administration of orbital fat-derived stem cells promotes corneal tissue regeneration

Science.gov (United States)

2013-01-01

Introduction Topical administration of eye drops is the major route for drug delivery to the cornea. Orbital fat-derived stem cells (OFSCs) possess an in vitro corneal epithelial differentiation capacity. Both the safety and immunomodulatory ability of systemic OFSC transplantation were demonstrated in our previous work. In this study, we investigated the safety, therapeutic effect, and mechanism(s) of topical OFSC administration in an extensive alkali-induced corneal wound. Methods Corneal injury was created by contact of a piece of 0.5 N NaOH-containing filter paper on the corneal surface of a male Balb/c mouse for 30 s. The area of the filter paper covered the central 70% or 100% of the corneal surface. OFSCs (2 × 105) in 5 μl phosphate-buffered saline (PBS) were given by topical administration (T) twice a day or by two intralimbal (IL) injections in the right cornea, while 5 μl of PBS in the left cornea served as the control. Results Topical OFSCs promoted corneal re-epithelialization of both the limbal-sparing and limbal-involved corneal wounds. In the first three days, topical OFSCs significantly reduced alkali-induced corneal edema and stromal infiltration according to a histopathological examination. Immunohistochemistry and immunofluorescence staining revealed that transplanted cells were easily detectable in the corneal epithelium, limbal epithelium and stroma, but only some of transplanted cells at the limbal epithelium had differentiated into cytokeratin 3-expressing cells. OFSCs did not alter neutrophil (Ly6G) levels in the cornea, but significantly reduced macrophage (CD68) infiltration and inducible nitrous oxide synthetase (iNOS) production during acute corneal injury as quantified by a Western blot analysis. Continuous topical administration of OFSCs for seven days improved corneal transparency, and this was accompanied by diffuse stromal engraftment of transplanted cells and differentiation into p63-expressing cells at the limbal area. The

A Study of the Correlation between STEM Career Knowledge, Mathematics Self-Efficacy, Career Interests, and Career Activities on the Likelihood of Pursuing a STEM Career among Middle School Students

Science.gov (United States)

Blotnicky, Karen A.; Franz-Odendaal, Tamara; French, Frederick; Joy, Phillip

2018-01-01

Background: A sample of 1448 students in grades 7 and 9 was drawn from public schools in Atlantic Canada to explore students' knowledge of science and mathematics requirements for science, technology, engineering, and mathematics (STEM) careers. Also explored were their mathematics self-efficacy (MSE), their future career interests, their…

Topics in mathematical analysis and applications

CERN Document Server

Tóth, László

2014-01-01

This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role. Some review papers published in this volume will be particularly useful for a broader readership in Mathematical Analysis, as well as for graduate students. An attempt is given to present all subjects in this volume in a unified and self-contained manner, to be particularly useful to the mathematical community.

Gender Differences in Self-Efficacy and Sense of Class and School Belonging for Majors in Science, Technology, Engineering, and Mathematics (STEM) Disciplines

Science.gov (United States)

Hogue, Barbara A.

Research into women's underrepresentation in science, technology, engineering, and mathematics (STEM) disciplines has become a topic of interest due to the increasing need for employees with technical expertise and a shortage of individuals to fill STEM jobs. The discrepancy in women's representation between STEM and other fields cannot adequately be explained by factors such as women's need to balance work and family (medicine and law are both extremely demanding careers), women's fear of competition (admissions into medical and law schools are highly competitive), or women's inability to excel in science (e.g., entry into medicine requires excellent achievement in the basic sciences). The purpose of this study is to gain a deeper understanding of the role and/or impact a sense of belonging has inside and outside of STEM classrooms. Research questions focused on the role and/or impact of belonging contributes to students' self-efficacy beliefs as a STEM major. Bandura's self-efficacy theory serves as the theoretical framework. Data sources include close-ended surveys of 200 sophomore- and junior-level college students majoring in a STEM discipline. A quantitative exploratory approach allowed participants' responses to be analyzed using both correlation and multiple regression analyses to understand whether a student's sense of belonging is associated with his or her self-efficacy beliefs. Findings suggested that positive support systems impact students' self-efficacy and play a role in fostering students' motivation and decision to major in STEM disciplines. This study contributes to positive social change by providing empirical evidence faculty and administrators may use to promote university-based STEM support programs reflecting the impact belonging has on students' self-efficacy and potentially increasing the number of students majoring in STEM disciplines.

Methods of mathematical modelling continuous systems and differential equations

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Witelski, Thomas

2015-01-01

This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.

The Role of STEM High Schools in Reducing Gaps in Science and Mathematics Coursetaking: Evidence from North Carolina. Research Report. RTI Press Publication RR-0025-1603

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Glennie, Elizabeth; Mason, Marcinda; Dalton, Ben

2016-01-01

Some states have created science, technology, engineering, and mathematics (STEM) schools to encourage student interest and enhance student proficiency in STEM subjects. We examined a set of STEM schools serving disadvantaged students to see whether these students were more likely to take and pass advanced science and mathematics classes than…

Helping All Students Become Einstein's Using Bibliotherapy When Teaching Mathematics to Prepare Students for a STEM World

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Furner, Joseph M.

2017-01-01

Today, being confident and having a sound understanding of mathematics is critical in an age of STEM. Teachers must play in important role in seeing that all students display their confidence in their ability to do mathematics. This paper explains the process of using bibliotherapy when teaching mathematics to address both the math anxious or the…

Students Who Study Science, Technology, Engineering, and Mathematics (STEM) in Postsecondary Education. Stats in Brief. NCES 2009-161

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Chen, Xianglei

2009-01-01

Rising concern about America's ability to maintain its competitive position in the global economy has renewed interest in science, technology, engineering and mathematics (STEM) education. To understand who enters into and completes undergraduate programs in STEM fields, this report examined data from three major national studies: the 1995-96…

How Readability and Topic Incidence Relate to Performance on Mathematics Story Problems in Computer-Based Curricula

Science.gov (United States)

Walkington, Candace; Clinton, Virginia; Ritter, Steven N.; Nathan, Mitchell J.

2015-01-01

Solving mathematics story problems requires text comprehension skills. However, previous studies have found few connections between traditional measures of text readability and performance on story problems. We hypothesized that recently developed measures of readability and topic incidence measured by text-mining tools may illuminate associations…

Middle School Engagement with Mathematics Software and Later Interest and Self-Efficacy for STEM Careers

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Ocumpaugh, Jaclyn; San Pedro, Maria Ofelia; Lai, Huei-yi; Baker, Ryan S.; Borgen, Fred

2016-12-01

Research suggests that trajectories toward careers in science, technology, engineering, and mathematics (STEM) emerge early and are influenced by multiple factors. This paper presents a longitudinal study, which uses data from 76 high school students to explore how a student's vocational self-efficacy and interest are related to his or her middle school behavioral and affective engagement. Measures of vocational self-efficacy and interest are drawn from STEM-related scales in CAPAExplore, while measures of middle school performance and engagement in mathematics are drawn from several previously validated automated indicators extracted from logs of student interaction with ASSISTments, an online learning platform. Results indicate that vocational self-efficacy correlates negatively with confusion, but positively with engaged concentration and carelessness. Interest, which also correlates negatively with confusion, correlates positively with correctness and carelessness. Other disengaged behaviors, such as gaming the system, were not correlated with vocational self-efficacy or interest, despite previous studies indicating that they are associated with future college attendance. We discuss implications for these findings, which have the potential to assist educators or counselors in developing strategies to sustain students' interest in STEM-related careers.

Helping all Students Become Einstein’s using Bibliotherapy when Teaching Mathematics to Prepare Students for a STEM World

Directory of Open Access Journals (Sweden)

Joseph M. Furner

2017-06-01

Full Text Available Today, being confident and having a sound understanding of mathematics is critical in an age of STEM.Teachers must play in important role in seeing that all students display their confidence in their ability to domathematics. This paper explains the process of using bibliotherapy when teaching mathematics to addressboth the math anxious or the math gifted student to build more math confidence in a STEM world. Oftengifted students of mathematics can be made to feel bad by their peers just because they know mathematicsand things come easy to them. Today there are many students in school that have math anxiety. Children'sand adolescent literature has been recognized now as a means to teaching mathematics to students throughthe use of stories to make the mathematics concepts relevant and meaningful. Literature can also be usedas a form of therapy, bibliotherapy, to reach students who may be frustrated with children picking on themfor knowing a lot of mathematics or who are math anxious. Story and picture books such as Counting onFrank, Math Curse and A Gebra Named Al are now available to use in the classroom as forms of bibliotherapyin helping students come to terms with issues that haunt them as it relates to mathematics. Children's bookscan be beneficial to address the math anxious and even the gifted. In this paper the author proposes usingreading and discussion (bibliotherapy to help all students become confident in mathematics in the STEMworld we live in.

Learning with STEM Simulations in the Classroom: Findings and Trends from a Meta-Analysis

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D'Angelo, Cynthia M.; Rutstein, Daisy; Harris, Christopher J.

2016-01-01

This article presents a summary of the findings of a systematic review and meta-analysis of the literature on computer-based interactive simulations for K-12 science, technology, engineering, and mathematics (STEM) learning topics. For achievement outcomes, simulations had a moderate to strong effect on student learning. Overall, simulations have…

Science, technology, engineering, and mathematics (STEM) participation among college students with an autism spectrum disorder.

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Wei, Xin; Yu, Jennifer W; Shattuck, Paul; McCracken, Mary; Blackorby, Jose

2013-07-01

Little research has examined the popular belief that individuals with an autism spectrum disorder (ASD) are more likely than the general population to gravitate toward science, technology, engineering, and mathematics (STEM) fields. This study analyzed data from the National Longitudinal Transition Study-2, a nationally representative sample of students with an ASD in special education. Findings suggest that students with an ASD had the highest STEM participation rates although their college enrollment rate was the third lowest among 11 disability categories and students in the general population. Disproportionate postsecondary enrollment and STEM participation by gender, family income, and mental functioning skills were found for young adults with an ASD. Educational policy implications are discussed.

Development and validation of science, technology, engineering and mathematics (STEM) based instructional material

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Gustiani, Ineu; Widodo, Ari; Suwarma, Irma Rahma

2017-05-01

This study is intended to examine the development and validation of simple machines instructional material that developed based on Science, Technology, Engineering and Mathematics (STEM) framework that provides guidance to help students learn and practice for real life and enable individuals to use knowledge and skills they need to be an informed citizen. Sample of this study consist of one class of 8th grader at a junior secondary school in Bandung, Indonesia. To measure student learning, a pre-test and post-test were given before and after implementation of the STEM based instructional material. In addition, a questionnaire of readability was given to examine the clarity and difficulty level of each page of instructional material. A questionnaire of students' response towards instructional material given to students and teachers at the end of instructional material reading session to measure layout aspects, content aspects and utility aspects of instructional material for being used in the junior secondary school classroom setting. The results show that readability aspect and students' response towards STEM based instructional material of STEM based instructional material is categorized as very high. Pretest and posttest responses revealed that students retained significant amounts information upon completion of the STEM instructional material. Student overall learning gain is 0.67 which is categorized as moderate. In summary, STEM based instructional material that was developed is valid enough to be used as educational materials necessary for conducting effective STEM education.

STEMing the tide: using ingroup experts to inoculate women's self-concept in science, technology, engineering, and mathematics (STEM).

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Stout, Jane G; Dasgupta, Nilanjana; Hunsinger, Matthew; McManus, Melissa A

2011-02-01

Three studies tested a stereotype inoculation model, which proposed that contact with same-sex experts (advanced peers, professionals, professors) in academic environments involving science, technology, engineering, and mathematics (STEM) enhances women's self-concept in STEM, attitudes toward STEM, and motivation to pursue STEM careers. Two cross-sectional controlled experiments and 1 longitudinal naturalistic study in a calculus class revealed that exposure to female STEM experts promoted positive implicit attitudes and stronger implicit identification with STEM (Studies 1-3), greater self-efficacy in STEM (Study 3), and more effort on STEM tests (Study 1). Studies 2 and 3 suggested that the benefit of seeing same-sex experts is driven by greater subjective identification and connectedness with these individuals, which in turn predicts enhanced self-efficacy, domain identification, and commitment to pursue STEM careers. Importantly, women's own self-concept benefited from contact with female experts even though negative stereotypes about their gender and STEM remained active. (PsycINFO Database Record (c) 2010 APA, all rights reserved).

Annual Perspectives in Mathematics Education 2016: Mathematical Modeling and Modeling Mathematics

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Hirsch, Christian R., Ed.; McDuffie, Amy Roth, Ed.

2016-01-01

Mathematical modeling plays an increasingly important role both in real-life applications--in engineering, business, the social sciences, climate study, advanced design, and more--and within mathematics education itself. This 2016 volume of "Annual Perspectives in Mathematics Education" ("APME") focuses on this key topic from a…

STEM Gives Meaning to Mathematics

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Hefty, Lukas J.

2015-01-01

The National Council of Teachers of Mathematics' (NCTM's) "Principles and Standards for School Mathematics" (2000) outlines fi ve Process Standards that are essential for developing deep understanding of mathematics: (1) Problem Solving; (2) Reasoning and Proof; (3) Communication; (4) Connections; and (5) Representation. The Common Core…

Young, southern women's perceptions of STEM careers: Examining science, technology, engineering & mathematics as a gendered construct

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Quinton, Jessica Elizabeth

Career interests develop over a lifetime and tend to solidify during late adolescence and early adulthood (Lent, Brown, and Hackett, 2002). The primary purpose of the present qualitative study, which is framed in Feminist Standpoint Theory (Haraway, 1988; Harding, 2007; Naples, 2007; Richardson, 2007), is to understand how eighth-grade, young women in a suburban, public, southern, middle school the South Carolina County School District (CCSD) (pseudonym) perceive their accessibility to Science, Technology, Engineering, and Mathematics (STEM) courses and careers. The secondary purpose is to understand these young women's "perceptions and unconscious beliefs about gender in science and mathematics" and how their "perceptions and unconscious beliefs about gender" in the STEM fields may impact the careers that these young women may choose in the future (American Association of University Women, 2010, 9). Within the present study, the perceptions of young women who identified as "Interested in Science," "Somewhat Interested in Science" and "Uninterested in Science" were identified. STEM courses and careers are a major emphasis in education today. Increasing the numbers of Americans who pursue STEM careers is a government priority, as these careers will strengthen the economy (AAUW 2010). The present study reveals how young women who are highly motivated, talented students perceive STEM courses and careers and how they are influenced by their experiences, gendered messages, and knowledge of STEM careers. To analyze the data, four of Saldana's (2010) dramaturgical codes were utilized including: 1. OBJectives, or motives; 2. CONflicts the participants faced; 3. TACtics to dealing with obstacles; and 4. ATTitudes toward the setting, others, and the conflict. The InVivo Codes allowed the participants stories to emerge through the set of dramaturgical codes that allowed for viewing the girls' experience sin different ways that added depth to their stories. The young women in

Career Advancement Outcomes in Academic Science, Technology, Engineering and Mathematics (STEM): Gender, Mentoring Resources, and Homophily

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Lee, Sang Eun

2017-01-01

This dissertation examines gender differences in career advancement outcomes among academic science, technology, engineering and mathematics (STEM) scientists. In particular, this research examines effects of gender, PhD advisors and postdoctoral supervisors mentoring resources and gender homophily in the mentoring dyads on the career advancement…

Understanding the Relationship Between Parental Education and STEM Course Taking Through Identity-Based and Expectancy-Value Theories of Motivation

Directory of Open Access Journals (Sweden)

Ryan C. Svoboda

2016-08-01

Full Text Available High school students from lower–socioeconomic status (SES backgrounds are less likely to enroll in advanced mathematics and science courses compared to students from higher-SES backgrounds. The current longitudinal study draws on identity-based and expectancy-value theories of motivation to explain the SES and mathematics and science course-taking relationship. This was done by gathering reports from students and their parents about their expectations, values, and future identities for science, technology, engineering, and mathematics (STEM topics beginning in middle school through age 20. Results showed that parental education predicted mathematics and science course taking in high school and college, and this relationship was partially mediated by students’ and parents’ future identity and motivational beliefs concerning mathematics and science. These findings suggest that psychological interventions may be useful for reducing social class gaps in STEM course taking, which has critical implications for the types of opportunities and careers available to students.

Women in STEM disciplines the Yfactor 2016 global report on gender in science, technology, engineering and mathematics

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Schmuck, Claudine

2017-01-01

This book presents the findings of a survey that analyzes a unique set of data in science and technolog and provides a clear and simple synthesis of heterogeneous databases on the gender gap in the STEM (Science, Technology, Engineering and Mathematics) setting, helping readers understand key trends and developments. The need for more women in innovative fields, particularly with regard to STEM-based innovations, has now been broadly recognized. The book provides insights into both the education and employment of women in STEM. It investigates how the gender gap has evolved among STEM graduates and professionals around the world, drawing on specific data from public and private databases. As such, the book provides readers an understanding of how the so-called ‘leaky pipeline’ operates, and of how more women than men drop out of STEM studies and jobs by geographical area.

Mathematics++ selected topics beyond the basic courses

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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

Analysis of an Interactive Technology Supported Problem-Based Learning STEM Project Using Selected Learning Sciences Interest Areas (SLSIA)

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Kumar, David Devraj

2017-01-01

This paper reports an analysis of an interactive technology-supported, problem-based learning (PBL) project in science, technology, engineering and mathematics (STEM) from a Learning Sciences perspective using the Selected Learning Sciences Interest Areas (SLSIA). The SLSIA was adapted from the "What kinds of topics do ISLS [International…

Mathematics Underground

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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…

Modern Versus Traditional Mathematics

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Roberts, A. M.

1974-01-01

The effect of different secondary school mathematics syllabi on first-year performance in college-level mathematics was studied in an attempt to evaluate the syllabus change. Students with a modern mathematics background performed sigficantly better on most first-year units. A topic-by-topic analysis of results is included. (DT)

Topics in quantum groups and finite-type invariants mathematics at the independent University of Moscow

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Arkhipov, S M; Odesskii, A V; Feigin, B; Vassiliev, V

1998-01-01

This volume presents the first collection of articles consisting entirely of work by faculty and students of the Higher Mathematics College of the Independent University of Moscow (IUM). This unique institution was established to train elite students to become research scientists. Covered in the book are two main topics: quantum groups and low-dimensional topology. The articles were written by participants of the Feigin and Vassiliev seminars, two of the most active seminars at the IUM.

Experiences of African American Young Women in Science, Technology, Engineering, and Mathematics (STEM) Education

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Kolo, Yovonda Ingram

African American women are underrepresented in science, technology, engineering, and mathematics (STEM) fields throughout the United States. As the need for STEM professionals in the United States increases, it is important to ensure that African American women are among those professionals making valuable contributions to society. The purpose of this phenomenological study was to describe the experiences of African American young women in relation to STEM education. The research question for this study examined how experiences with STEM in K-10 education influenced African American young women's academic choices in their final years in high school. The theory of multicontextuality was used to provide the conceptual framework. The primary data source was interviews. The sample was composed of 11 African American young women in their junior or senior year in high school. Data were analyzed through the process of open coding, categorizing, and identifying emerging themes. Ten themes emerged from the answers to research questions. The themes were (a) high teacher expectations, (b) participation in extra-curricular activities, (c) engagement in group-work, (d) learning from lectures, (e) strong parental involvement, (f) helping others, (g) self-efficacy, (h) gender empowerment, (i) race empowerment, and (j) strategic recruitment practices. This study may lead to positive social change by adding to the understanding of the experiences of African American young women in STEM. By doing so, these findings might motivate other African American young women to pursue advanced STEM classes. These findings may also provide guidance to parents and educators to help increase the number of African American women in STEM.

TOPICAL REVIEW: Stem cells engineering for cell-based therapy

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Taupin, Philippe

2007-09-01

Stem cells carry the promise to cure a broad range of diseases and injuries, from diabetes, heart and muscular diseases, to neurological diseases, disorders and injuries. Significant progresses have been made in stem cell research over the past decade; the derivation of embryonic stem cells (ESCs) from human tissues, the development of cloning technology by somatic cell nuclear transfer (SCNT) and the confirmation that neurogenesis occurs in the adult mammalian brain and that neural stem cells (NSCs) reside in the adult central nervous system (CNS), including that of humans. Despite these advances, there may be decades before stem cell research will translate into therapy. Stem cell research is also subject to ethical and political debates, controversies and legislation, which slow its progress. Cell engineering has proven successful in bringing genetic research to therapy. In this review, I will review, in two examples, how investigators are applying cell engineering to stem cell biology to circumvent stem cells' ethical and political constraints and bolster stem cell research and therapy.

Discrete Mathematics and the Secondary Mathematics Curriculum.

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Dossey, John

Discrete mathematics, the mathematics of decision making for finite settings, is a topic of great interest in mathematics education at all levels. Attention is being focused on resolving the diversity of opinion concerning the exact nature of the subject, what content the curriculum should contain, who should study that material, and how that…

The Development of the STEM Career Interest Survey (STEM-CIS)

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Kier, Meredith W.; Blanchard, Margaret R.; Osborne, Jason W.; Albert, Jennifer L.

2014-06-01

Internationally, efforts to increase student interest in science, technology, engineering, and mathematics (STEM) careers have been on the rise. It is often the goal of such efforts that increased interest in STEM careers should stimulate economic growth and enhance innovation. Scientific and educational organizations recommend that efforts to interest students in STEM majors and careers begin at the middle school level, a time when students are developing their own interests and recognizing their academic strengths. These factors have led scholars to call for instruments that effectively measure interest in STEM classes and careers, particularly for middle school students. In response, we leveraged the social cognitive career theory to develop a survey with subscales in science, technology, engineering, and mathematics. In this manuscript, we detail the six stages of development of the STEM Career Interest Survey. To investigate the instrument's reliability and psychometric properties, we administered this 44-item survey to over 1,000 middle school students (grades 6-8) who primarily were in rural, high-poverty districts in the southeastern USA. Confirmatory factor analyses indicate that the STEM-CIS is a strong, single factor instrument and also has four strong, discipline-specific subscales, which allow for the science, technology, engineering, and mathematics subscales to be administered separately or in combination. This instrument should prove helpful in research, evaluation, and professional development to measure STEM career interest in secondary level students.

Mathematical Modeling in Mathematics Education: Basic Concepts and Approaches

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Erbas, Ayhan Kürsat; Kertil, Mahmut; Çetinkaya, Bülent; Çakiroglu, Erdinç; Alacaci, Cengiz; Bas, Sinem

2014-01-01

Mathematical modeling and its role in mathematics education have been receiving increasing attention in Turkey, as in many other countries. The growing body of literature on this topic reveals a variety of approaches to mathematical modeling and related concepts, along with differing perspectives on the use of mathematical modeling in teaching and…

Stem Cell Basics

Science.gov (United States)

... Tips Info Center Research Topics Federal Policy Glossary Stem Cell Information General Information Clinical Trials Funding Information Current ... Basics » Stem Cell Basics I. Back to top Stem Cell Basics I. Introduction: What are stem cells, and ...

Applied Wave Mathematics Selected Topics in Solids, Fluids, and Mathematical Methods

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Quak, Ewald

2009-01-01

This edited volume addresses the importance of mathematics in wave-related research, and its tutorial style contributions provide educational material for courses or seminars. It presents highlights from research carried out at the Centre for Nonlinear Studies in Tallinn, Estonia, the Centre of Mathematics for Applications in Oslo, Norway, and by visitors from the EU project CENS-CMA. The example applications discussed include wave propagation in inhomogeneous solids, liquid crystals in mesoscopic physics, and long ship waves in shallow water bodies. Other contributions focus on specific mathe

An introduction to mathematical cryptography

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Hoffstein, Jeffrey; Silverman, Joseph H

2014-01-01

This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online. The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include: classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; fundamental mathematical tools for cr...

Challenging gender roles through STEM education in Nepal

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Wallenius, Todd J.

Science, Technology, Engineering, Mathematics (STEM) education programs are currently being introduced and expanded across "developing" nations. STEM programs often conflict with hegemonic gender norms, for example by targeting girls and women in male dominated societies. However, given the cultural complexity of STEM for girls, implementing educators are rarely asked their point of view on programs from abroad. This study explored the perceptions of educators in Nepal who participated in the Girls Get STEM Skills (GGSS) program, a program funded through the U.S. Department of State for 2015/2016. The 8-month program reached 254 girls across three government schools and included the donation of 30 laptops. In August, 2016, the researcher conducted one-on-one interviews and focus groups with 18 participants at GGSS school sites in Pokhara, Nepal. Qualitative data was gathered on educators' perceptions of teacher roles, Nepal as a developing nation, gender imbalance in STEM, and the GGSS curriculum. The study argues that educators viewed educational topics through the lens of bikas, the Nepali word for development. This suggests that the principal impact of STEM programs--as part of larger development initiatives--may be the creation and reinforcement of new social meanings rather than the tangible impacts of the projects themselves.

Learning Mathematics or Losing Money--Betting as a Topic for Mathematical Education

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Siller, Hans-Stefan; MaaB, Jurgen

2012-01-01

No risk, no fun--betting on sports events costs the gamblers a lot of money and brings excellent profits to those who offer the bets. Among the people who bet on a regular basis, the proportion of young adults is frighteningly high. We now suggest a concept (as part of a basic mathematics course) for acquiring the necessary mathematical knowledge…

Lectures on Applications-Oriented Mathematics

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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.

The Relationship between Students' Performance on Conventional Standardized Mathematics Assessments and Complex Mathematical Modeling Problems

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Kartal, Ozgul; Dunya, Beyza Aksu; Diefes-Dux, Heidi A.; Zawojewski, Judith S.

2016-01-01

Critical to many science, technology, engineering, and mathematics (STEM) career paths is mathematical modeling--specifically, the creation and adaptation of mathematical models to solve problems in complex settings. Conventional standardized measures of mathematics achievement are not structured to directly assess this type of mathematical…

Connecting mathematics learning through spatial reasoning

Science.gov (United States)

Mulligan, Joanne; Woolcott, Geoffrey; Mitchelmore, Michael; Davis, Brent

2018-03-01

Spatial reasoning, an emerging transdisciplinary area of interest to mathematics education research, is proving integral to all human learning. It is particularly critical to science, technology, engineering and mathematics (STEM) fields. This project will create an innovative knowledge framework based on spatial reasoning that identifies new pathways for mathematics learning, pedagogy and curriculum. Novel analytical tools will map the unknown complex systems linking spatial and mathematical concepts. It will involve the design, implementation and evaluation of a Spatial Reasoning Mathematics Program (SRMP) in Grades 3 to 5. Benefits will be seen through development of critical spatial skills for students, increased teacher capability and informed policy and curriculum across STEM education.

Mathematics for physicists

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Martin, B R

2015-01-01

Mathematics for Physicists is a relatively short volume covering all the essential mathematics needed for a typical first degree in physics, from a starting point that is compatible with modern school mathematics syllabuses. Early chapters deliberately overlap with senior school mathematics, to a degree that will depend on the background of the individual reader, who may quickly skip over those topics with which he or she is already familiar. The rest of the book covers the mathematics that is usually compulsory for all students in their first two years of a typical university physics degree, plus a little more. There are worked examples throughout the text, and chapter-end problem sets. Mathematics for Physicists features: * Interfaces with modern school mathematics syllabuses * All topics usually taught in the first two years of a physics degree * Worked examples throughout * Problems in every chapter, with answers to selected questions at the end of the book and full solutions on a website This text will ...

Gender Gap in Science, Technology, Engineering, and Mathematics (STEM): Current Knowledge, Implications for Practice, Policy, and Future Directions

Science.gov (United States)

Wang, Ming-Te; Degol, Jessica L.

2017-01-01

Although the gender gap in math course-taking and performance has narrowed in recent decades, females continue to be underrepresented in math-intensive fields of Science, Technology, Engineering, and Mathematics (STEM). Career pathways encompass the ability to pursue a career as well as the motivation to employ that ability. Individual differences…

Sixth form pure mathematics

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Plumpton, C

1968-01-01

Sixth Form Pure Mathematics, Volume 1, Second Edition, is the first of a series of volumes on Pure Mathematics and Theoretical Mechanics for Sixth Form students whose aim is entrance into British and Commonwealth Universities or Technical Colleges. A knowledge of Pure Mathematics up to G.C.E. O-level is assumed and the subject is developed by a concentric treatment in which each new topic is used to illustrate ideas already treated. The major topics of Algebra, Calculus, Coordinate Geometry, and Trigonometry are developed together. This volume covers most of the Pure Mathematics required for t

Learning for STEM Literacy: STEM Literacy for Learning

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Zollman, Alan

2012-01-01

We are in the STEM generation whose comprehensive purpose is to resolve (1) societal needs for new technological and scientific advances; (2) economic needs for national security; and (3) personal needs to become a fulfilled, productive, knowledgeable citizen. STEM specifically refers to science, technology, engineering, and mathematics, but now…

Using a robotics competition to teach about and stimulate enthusiasm for Earth science and other STEM topics

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Fike, Hildee; Barnhart, Paul; Brevik, Corinne E.; Brevik, Eric C.; Burgess, Cynthia; Chen, Jundong; Egli, Shawna; Harris, Billy; Johanson, Paul J.; Johnson, Naomi; Moe, Marie; Olsen, Reba

2016-04-01

One of the major challenges in recruiting students to careers in STEM (science, technology, engineering, and mathematics) fields is to stimulate enthusiasm about these fields in our youth. BEST (Boosting Engineering Science and Technology) Robotics is a national program in the USA that attempts to recruit junior and senior high school students (ages 13-18) into STEM careers by showing youth how exciting these careers can be by using robotics competitions. The competitions have several aspects, including robot design, software engineering, marketing, public outreach, research into the subject area of the year's tasks, and a set of tasks to be physically performed by the robots that each team builds. The tasks to be performed change every year; therefore, even teams that compete over multiple years must build a new robot each year designed to perform the particular tasks charged to them. Dickinson State University is the home to Blue Hawk BEST, one of the hubs that host the first round of competition for teams hoping to move on to regional, and potentially, national level competition. The tasks for 2015 revolved around a mining theme. The robots needed to be able to replace the filter in an air filtration system, fix broken pipes, mine simulated aggregate, coal, magnetite, bauxite, chalcopyrite, and spodumene, and move core samples. Points were awarded for successful progress toward each task based on the difficulty of the task and the market value of the commodities. While several STEM fields are covered in various aspects of the competition, the 2015 competition includes Earth science in that the students are required to research the history and science of the commodities being mined and learn about ways the commodities are important to their lives and the economy of their particular region. Several awards are handed out to the top performing teams in various categories, including spirit and sportsmanship awards. As teams compete for these awards a raucous

Moving Toward an Anti-Deficit Perspective: African American Science, Technology, Engineering, Mathematics (STEM) Students at Hispanic-Serving Institutions (HSI)

Science.gov (United States)

Mahoney, Melissa M.

The increased demand for qualified STEM workers, necessitates addressing the bachelor's science, technology, engineering and mathematics (STEM) degree achievement among African Americans and other underrepresented populations. Using inquiry derived from Harper's (2010) Anti-Deficit Achievement Framework, this study sought to explore the factors that contribute to the successful degree completion of African American STEM students within a large comprehensive university system. Coding of the twelve semi-structured interviews revealed six major themes: a) K-12/precollege educational experiences, b) motivation to complete a STEM degree, c) systems of social support, d) extracurricular activities and out-of-class experiences, e) addressing stereotyping and discrimination, and f) faculty behaviors and dispositions. All themes were intertwined at each phase of participants' academic careers, thereby, highlighting the complexity of this population's experience and what is needed to address their low STEM degree attainment. Findings indicated that this student population benefits from positive, sustained faculty-student interactions, holistic STEM success programming, and genuine networks of social support. Furthermore, Harper's framework can be modified to explore the motivation of African American STEM students as well as the African American student's relationship with disability support services.

Building a Community of Scholars: One University's Story of Students Engaged in Learning Science, Mathematics, and Engineering through a NSF S-STEM Grant--Part II

Science.gov (United States)

Kalevitch, Maria; Maurer, Cheryl; Badger, Paul; Holdan, Greg; Sirinterlikci, Arif

2015-01-01

The School of Engineering, Mathematics, and Science (SEMS) at Robert Morris University (RMU) was awarded a five-year grant from the National Science Foundation (NSF) to fund scholarships to 21 academically talented but financially challenged students majoring in the disciplines of science, technology, engineering, and mathematics (STEM). Each…

Mathematical cosmology

International Nuclear Information System (INIS)

Wainwright, J.

1990-01-01

The workshop on mathematical cosmology was devoted to four topics of current interest. This report contains a brief discussion of the historical background of each topic and a concise summary of the content of each talk. The topics were; the observational cosmology program, the cosmological perturbation program, isotropic singularities, and the evolution of Bianchi cosmologies. (author)

Students' Attitude towards STEM Education

Science.gov (United States)

Popa, Roxana-Alexandra; Ciascai, Liliana

2017-01-01

STEM is the acronym of Science, Technology, Engineering, and Mathematics fields. STEM education refers both to teaching and learning in the above-mentioned disciplines, but especially to teaching and learning a new discipline based on the integration of Science, Technology, Engineering, and Mathematics. The present survey aims to investigate the…

First aid in mathematics

CERN Document Server

Sulley, Robert

2014-01-01

Achieve the best possible standard with this bestselling book of traditional practice and guidance - now in colour!. First Aid in Mathematics provides all the help and support needed for learning and practising Mathematics. It offers comprehensive coverage of core mathematical topics in clear and accessible language. It is suitable for both native English speakers and students of English as a second language and can be used in class, or as a reference and revision book. - Develops a strong basis of understanding with core topics covered in clear and accessible language. - Improves student's ab

Fundamentals of university mathematics

CERN Document Server

McGregor, C M; Stothers, W W

2010-01-01

The third edition of this popular and effective textbook provides in one volume a unified treatment of topics essential for first year university students studying for degrees in mathematics. Students of computer science, physics and statistics will also find this book a helpful guide to all the basic mathematics they require. It clearly and comprehensively covers much of the material that other textbooks tend to assume, assisting students in the transition to university-level mathematics.Expertly revised and updated, the chapters cover topics such as number systems, set and functions, differe

Mathematical learning instruction and teacher motivation factors affecting science technology engineering and math (STEM) major choices in 4-year colleges and universities: Multilevel structural equation modeling

Science.gov (United States)

Lee, Ahlam

2011-12-01

Using the Educational Longitudinal Study of 2002/06, this study examined the effects of the selected mathematical learning and teacher motivation factors on graduates' science, technology, engineering, and math (STEM) related major choices in 4-year colleges and universities, as mediated by math performance and math self-efficacy. Using multilevel structural equation modeling, I analyzed: (1) the association between mathematical learning instruction factors (i.e., computer, individual, and lecture-based learning activities in mathematics) and students' STEM major choices in 4-year colleges and universities as mediated by math performance and math self-efficacy and (2) the association between school factor, teacher motivation and students' STEM major choices in 4-year colleges and universities via mediators of math performance and math self-efficacy. The results revealed that among the selected learning experience factors, computer-based learning activities in math classrooms yielded the most positive effects on math self-efficacy, which significantly predicted the increase in the proportion of students' STEM major choice as mediated by math self-efficacy. Further, when controlling for base-year math Item Response Theory (IRT) scores, a positive relationship between individual-based learning activities in math classrooms and the first follow-up math IRT scores emerged, which related to the high proportion of students' STEM major choices. The results also indicated that individual and lecture-based learning activities in math yielded positive effects on math self-efficacy, which related to STEM major choice. Concerning between-school levels, teacher motivation yielded positive effects on the first follow up math IRT score, when controlling for base year IRT score. The results from this study inform educators, parents, and policy makers on how mathematics instruction can improve student math performance and encourage more students to prepare for STEM careers. Students

Mathematical potential of special education students

OpenAIRE

Peltenburg, M.C.

2012-01-01

This PhD research was aimed at investigating the mathematical potential of special education (SE) students. SE students often have a severe delay in their mathematical development compared to peers in regular education. However, there are indications that SE students could attain more and that there might be unused talent in SE students. In the research project, two mathematical domains were chosen as a topic of investigation. One topic is part of the mathematics curriculum in SE and is gener...

ECMOR 4. 4th European conference on the mathematics of oil recovery. Topic C: Scale change procedures. Proceedings

Energy Technology Data Exchange (ETDEWEB)

1994-01-01

The report with collected proceedings from a conference, deals with mathematics of oil recovery with the focus on scale change procedures. Topics of proceedings are as follow: Upscaling permeability, mathematics of renormalization; a new method for the scale up of displacement processes in heterogeneous reservoirs; The scaleup of two-phase flow using permeability tensors; upscaling of permeability based on wavelet representation; preferential flow-paths detection for heterogeneous reservoirs using a new renormalization technique; averaged heterogeneous porous media by minimization of the error on the flow rate; change of scale for the full permeability tensor on a tetrahedron grid; effective relative permeabilities and capillary pressure for 1D heterogeneous media; practical and operational method for the calculation of effective dispersion coefficients in heterogeneous porous media. Nine papers are prepared. 144 refs., 71 figs., 10 tabs.

Bone Marrow Transplantation: MedlinePlus Health Topic

Science.gov (United States)

... marrow transplant - discharge (Medical Encyclopedia) Also in Spanish Topic Image MedlinePlus Email Updates Get Bone Marrow Transplantation ... transplant - slideshow Graft-versus-host disease Related Health Topics Bone Marrow Diseases Stem Cells National Institutes of ...

Mathematical quantization

CERN Document Server

Weaver, Nik

2001-01-01

With a unique approach and presenting an array of new and intriguing topics, Mathematical Quantization offers a survey of operator algebras and related structures from the point of view that these objects are quantizations of classical mathematical structures. This approach makes possible, with minimal mathematical detail, a unified treatment of a variety of topics.Detailed here for the first time, the fundamental idea of mathematical quantization is that sets are replaced by Hilbert spaces. Building on this idea, and most importantly on the fact that scalar-valued functions on a set correspond to operators on a Hilbert space, one can determine quantum analogs of a variety of classical structures. In particular, because topologies and measure classes on a set can be treated in terms of scalar-valued functions, we can transfer these constructions to the quantum realm, giving rise to C*- and von Neumann algebras.In the first half of the book, the author quickly builds the operator algebra setting. He uses this ...

ECMOR 4. 4th European conference on the mathematics of oil recovery. Topic A: Geometrical characterization. Proceedings

Energy Technology Data Exchange (ETDEWEB)

1994-01-01

The report with collected proceedings from a conference, deals with mathematics of oil recovery with the focus on geometrical characterization. Topics of proceedings are as follow: Random functions and geological subsurfaces; modelling faults in reservoir simulation; building, managing, and history matching very large and complex grids with examples from the Gullfaks Field (Norway); optimal gridding of stochastic models for scale-up; combining Gaussian fields and fibre processes for modelling of sequence stratigraphic bounding surfaces. Five papers are prepared. 76 refs., 61 figs., 1 tab.

Mathematical and theoretical neuroscience cell, network and data analysis

CERN Document Server

Nieus, Thierry

2017-01-01

This volume gathers contributions from theoretical, experimental and computational researchers who are working on various topics in theoretical/computational/mathematical neuroscience. The focus is on mathematical modeling, analytical and numerical topics, and statistical analysis in neuroscience with applications. The following subjects are considered: mathematical modelling in Neuroscience, analytical  and numerical topics;  statistical analysis in Neuroscience; Neural Networks; Theoretical Neuroscience. The book is addressed to researchers involved in mathematical models applied to neuroscience.

A Mathematics Software Database Update.

Science.gov (United States)

Cunningham, R. S.; Smith, David A.

1987-01-01

Contains an update of an earlier listing of software for mathematics instruction at the college level. Topics are: advanced mathematics, algebra, calculus, differential equations, discrete mathematics, equation solving, general mathematics, geometry, linear and matrix algebra, logic, statistics and probability, and trigonometry. (PK)

Rays, waves, and scattering topics in classical mathematical physics

CERN Document Server

Adam, John A

2017-01-01

This one-of-a-kind book presents many of the mathematical concepts, structures, and techniques used in the study of rays, waves, and scattering. Panoramic in scope, it includes discussions of how ocean waves are refracted around islands and underwater ridges, how seismic waves are refracted in the earth's interior, how atmospheric waves are scattered by mountains and ridges, how the scattering of light waves produces the blue sky, and meteorological phenomena such as rainbows and coronas. Rays, Waves, and Scattering is a valuable resource for practitioners, graduate students, and advanced undergraduates in applied mathematics, theoretical physics, and engineering. Bridging the gap between advanced treatments of the subject written for specialists and less mathematical books aimed at beginners, this unique mathematical compendium features problems and exercises throughout that are geared to various levels of sophistication, covering everything from Ptolemy's theorem to Airy integrals (as well as more technica...

Creative Teaching in STEM

Science.gov (United States)

Pollard, Vikki; Hains-Wesson, Rachael; Young, Karen

2018-01-01

If Science, Technology, Engineering and Mathematics (STEM) disciplines in higher education are to retain students, there needs to be a shift towards teaching in more enriching and interesting ways. Creative teaching needs to become more prominent in STEM. This article presents a study that defines creative teaching in the STEM context and…

Measuring the utility of the Science, Technology, Engineering, Mathematics (STEM) Academy Measurement Tool in assessing the development of K-8 STEM academies as professional learning communities

Science.gov (United States)

Irish, Teresa J.

The aim of this study was to provide insights addressing national concerns in Science, Technology, Engineering, and Mathematics (STEM) education by examining how a set of six perimeter urban K-12 schools were transformed into STEM-focused professional learning communities (PLC). The concept of a STEM Academy as a STEM-focused PLC emphasizes the development of a STEM culture where professional discourse and teaching are focused on STEM learning. The STEM Academies examined used the STEM Academy Measurement Tool and Rubric (Tool) as a catalyst for discussion and change. This Tool was developed with input from stakeholders and used for school-wide initiatives, teacher professional development and K-12 student engagement to improve STEM teaching and learning. Two primary goals of this study were to assess the levels of awareness and use of the tool by all stakeholders involved in the project and to determine how the Tool assisted in the development and advancement of these schools as STEM PLCs. Data from the STEM Academy Participant Survey was analyzed to determine stakeholders' perceptions of the Tool in terms of (i) how aware stakeholders were of the Tool, (ii) whether they participated in the use of the Tool, (iii) how the characteristics of PLCs were perceived in their schools, and finally (iv) how the awareness of the Tool influenced teachers' perceptions of the presence of PLC characteristics. Findings indicate that school faculty were aware of the Tool on a number of different levels and evidence exists that the use of the Tool assisted in the development of STEM Academies, however impact varied from school to school. Implications of this study suggest that the survey should be used for a longer period of time to gain more in-depth knowledge on teachers' perceptions of the Tool as a catalyst across time. Additional findings indicate that the process for using the Tool should be ongoing and involve the stakeholders to have the greatest impact on school culture

Nanoemulsion as a carrier to improve the topical anti-inflammatory activity of stem bark extract of Rapanea ferruginea

Directory of Open Access Journals (Sweden)

Dal Mas J

2016-09-01

Full Text Available Juarana Dal Mas,1 Tailyn Zermiani,1 Liliani C Thiesen,1 Joana LM Silveira,2 Kathryn ABS da Silva,1 Márcia M de Souza,1 Angela Malheiros,1 Tania MB Bresolin,1 Ruth M Lucinda-Silva1 1NIQFAR, Graduate Program in Pharmaceutical Sciences, University of Vale do Itajaí, Itajaí, Santa Catarina, Brazil; 2Department of Biochemistry and Molecular Biology, Federal University of Paraná, Curitiba, Paraná, Brazil Abstract: The aim of this study was to develop nanoemulsion containing soft extract of stem bark of Rapanea ferruginea to improve the topical delivery and anti-inflammatory activity. The extract of R. ferruginea stem bark was incorporated into the oily phase of the nanoemulsion by the method of phase inversion at low energy. The developed nanoemulsion had an average droplet size of 47.88±8.20 nm and a polydispersibility index of 0.228. Uniformity of size, spherical shape of droplet, and absence of clusters were confirmed by transmission electronic microscopy. The zeta potential was -34.7±1.15 mV. The nanoemulsion showed a moderate degree of skin irritation in the agarose overlay assay in vitro. The content of the extract markers, myrsinoic acids A and B, was 54.10±0.08 and 53.03 µg/g in the formulation, respectively. The formulation demonstrated pseudoplastic and thixotropic rheological behavior. In vitro release of chemical markers was controlled by diffusion mechanism. An extract-loaded nanoemulsion showed a topical anti-inflammatory activity in a croton oil-induced edema ear model, with a decrease in tumor necrosis factor release and myeloperoxidase activity. The nanoemulsion was 160% more efficient than the conventional cream containing 0.13% of the extract. The nanoemulsion showed suitable properties as a carrier for topical use of R. ferruginea extract and the approach for improving the topical anti-inflammatory activity. Keywords: nanotechnology, nanoemulsion, Rapanea ferruginea, anti-inflammatory, phytomedicine

Mathematics and Science Teachers Professional Development with Local Businesses to Introduce Middle and High School Students to Opportunities in STEM Careers

Science.gov (United States)

Miles, Rhea; Slagter van Tryon, Patricia J.; Mensah, Felicia Moore

2015-01-01

TechMath is a professional development program that forms collaborations among businesses, colleges, and schools for the purpose of promoting Science, Technology, Engineering, and Mathematics (STEM) careers. TechMath has provided strategies for creating highquality professional development by bringing together teachers, students, and business…

Mathematical Literacy: A new literacy or a new mathematics?

Directory of Open Access Journals (Sweden)

Renuka Vithal

2006-10-01

Full Text Available Mathematical Literacy is a ‘hot’ topic at present in most countries, whether it is referred to by that name, or in some cases as Numeracy, or Quantitative Literacy, or Matheracy, or as some part of Ethnomathematics, or related to Mathematics in Society. Questions continue to be asked about what is meant by mathematics in any concept of Mathematical Literacy and the use of the very word ‘Literacy’ in its association with Mathematics has been challenged. Its importance, however, lies in changing our perspective on mathematics teaching, away from the elitism so often associated with much mathematics education, and towards a more equitable, accessible and genuinely educational ideal.

Topics in mathematical and applied statistics

NARCIS (Netherlands)

Pas, van der S.L.

2017-01-01

This thesis is composed of papers on four topics: Bayesian theory for the sparse normal means problem, specifically for the horseshoe prior (Chapters 1-3), Bayesian theory for community detection (Chapter 4), nested model selection (Chapter 5), and the application of competing risk methods in the

Mathematics for the nonmathematician

CERN Document Server

Kline, Morris

1967-01-01

Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.

The persistence of women in STEM: A constructivist grounded theory study

Science.gov (United States)

Gamm, Ryan

Men and women have reached relative parity in most sectors of the United States workforce. Yet women remain underrepresented in science, technology, engineering, and mathematics (STEM) fields (AAUW, 2010). Underrepresentation persists despite several decades of research, legislation, and intervention focused on gender equality in STEM fields (Clewell, 2002). The underrepresentation or shortage of women in STEM fields is identifiable primarily in degree attainment, in workforce demographics, and in a gender wage gap. Situated in constructivist grounded theory, this study asks how do women in science, technology, engineering, and mathematics (STEM) fields, particularly those in established career positions, persist when encountering personal and institutional barriers, resistance, and hostility? I use an interpretive-constructivist lens to conduct a grounded theory study exploring the experiences of women who persist in STEM fields, their relation to extant literature on this topic, and the connections to K-12 education practices, specifically curriculum. To understand the connections to curriculum I employ Pinar's (2012) method of currere. Pinar (2012) contends currere "provides a strategy for students of curriculum to study the relations between academic knowledge and life history in the interests of self-understanding and social reconstruction" (p.44). This qualitative study explored nine female STEM workers stories of persistence as each respondent works in STEM fields were gender parity has yet to be established. This study presents a substantive theory: As women persist in STEM fields they reframe themselves to be situated in the overlapping intersection of the social processes that correspond to "engagement" and "persistence." This reframing is possible by interpreting one's present day circumstances by independently removing oneself from current circumstances to understand the cumulative effect of both past and present. The findings highlight the importance

Mathematical foundation of computer science

CERN Document Server

Singh, YN

2005-01-01

The interesting feature of this book is its organization and structure. That consists of systematizing of the definitions, methods, and results that something resembling a theory. Simplicity, clarity, and precision of mathematical language makes theoretical topics more appealing to the readers who are of mathematical or non-mathematical background. For quick references and immediate attentions¾concepts and definitions, methods and theorems, and key notes are presented through highlighted points from beginning to end. Whenever, necessary and probable a visual approach of presentation is used. The amalgamation of text and figures make mathematical rigors easier to understand. Each chapter begins with the detailed contents, which are discussed inside the chapter and conclude with a summary of the material covered in the chapter. Summary provides a brief overview of all the topics covered in the chapter. To demonstrate the principles better, the applicability of the concepts discussed in each topic are illustrat...

Confronting Color-Blind STEM Talent Development: Toward a Contextual Model for Black Student STEM Identity

Science.gov (United States)

Collins, Kristina Henry

2018-01-01

What is Black student's science, technology, engineering, and mathematics (STEM) identity? The author addresses this question through a synthesis of the literature that includes studies that explore Black student identity. Background information regarding STEM achievement and persistence followed by empirical studies that explore STEM attitudes…

DISCRETE MATHEMATICS/NUMBER THEORY

OpenAIRE

Mrs. Manju Devi*

2017-01-01

Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics such as integers, graphs, and statements do not vary smoothly in this way, but have distinct, separated values. Discrete mathematics therefore excludes topics in "continuous mathematics" such as calculus and analysis. Discrete objects can often be enumerated by ...

STEM crisis or STEM surplus? Yes and yes.

Science.gov (United States)

Xue, Yi; Larson, Richard C

2015-05-01

The last decade has seen considerable concern regarding a shortage of science, technology, engineering, and mathematics (STEM) workers to meet the demands of the labor market. At the same time, many experts have presented evidence of a STEM worker surplus. A comprehensive literature review, in conjunction with employment statistics, newspaper articles, and our own interviews with company recruiters, reveals a significant heterogeneity in the STEM labor market: the academic sector is generally oversupplied, while the government sector and private industry have shortages in specific areas.

Mathematics everywhere

CERN Document Server

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

Engineering mathematics

CERN Document Server

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.

Mathematical biophysics

CERN Document Server

Rubin, Andrew

2014-01-01

This book presents concise descriptions and analysis of the classical and modern models used in mathematical biophysics. The authors ask the question "what new information can be provided by the models that cannot be obtained directly from experimental data?" Actively developing fields such as regulatory mechanisms in cells and subcellular systems and electron transport and energy transport in membranes are addressed together with more classical topics such as metabolic processes, nerve conduction and heart activity, chemical kinetics, population dynamics, and photosynthesis. The main approach is to describe biological processes using different mathematical approaches necessary to reveal characteristic features and properties of simulated systems. With the emergence of powerful mathematics software packages such as MAPLE, Mathematica, Mathcad, and MatLab, these methodologies are now accessible to a wide audience. Provides succinct but authoritative coverage of a broad array of biophysical topics and models Wr...

Queer in STEM: Workplace Experiences Reported in a National Survey of LGBTQA Individuals in Science, Technology, Engineering, and Mathematics Careers.

Science.gov (United States)

Yoder, Jeremy B; Mattheis, Allison

2016-01-01

A survey of individuals working in science, technology, engineering, and mathematics (STEM) fields who identify as lesbian, gay, bisexual, trans*, queer, or asexual (LGTBQA) was administered online in 2013. Participants completed a 58-item questionnaire to report their professional areas of expertise, levels of education, geographic location, and gender and sexual identities and rated their work and social communities as welcoming or hostile to queer identities. An analysis of 1,427 responses to this survey provided the first broad portrait of this population, and it revealed trends related to workplace practices that can inform efforts to improve queer inclusivity in STEM workplaces.

Modern problems in insurance mathematics

CERN Document Server

Martin-Löf, Anders

2014-01-01

This book is a compilation of 21 papers presented at the International Cramér Symposium on Insurance Mathematics (ICSIM) held at Stockholm University in June, 2013. The book comprises selected contributions from several large research communities in modern insurance mathematics and its applications. The main topics represented in the book are modern risk theory and its applications, stochastic modelling of insurance business, new mathematical problems in life and non-life insurance, and related topics in applied and financial mathematics. The book is an original and useful source of inspiration and essential reference for a broad spectrum of theoretical and applied researchers, research students and experts from the insurance business. In this way, Modern Problems in Insurance Mathematics will contribute to the development of research and academy–industry co-operation in the area of insurance mathematics and its applications.

Expanding STEM opportunities through inclusive STEM-focused high schools.

Science.gov (United States)

Means, Barbara; Wang, Haiwen; Wei, Xin; Lynch, Sharon; Peters, Vanessa; Young, Viki; Allen, Carrie

2017-09-01

Inclusive STEM high schools (ISHSs) (where STEM is science, technology, engineering, and mathematics) admit students on the basis of interest rather than competitive examination. This study examines the central assumption behind these schools-that they provide students from subgroups underrepresented in STEM with experiences that equip them academically and attitudinally to enter and stay in the STEM pipeline. Hierarchical modeling was applied to data from student surveys and state longitudinal data records for 5113 students graduating from 39 ISHSs and 22 comprehensive high schools in North Carolina and Texas. Compared to peers from the same demographic group with similar Grade 8 achievement levels, underrepresented minority and female ISHS students in both states were more likely to undertake advanced STEM coursework. Hispanics in Texas and females in both states expressed more STEM career interest in Grade 12 if they attended an ISHS. Positive relationships between ISHS attendance and grade point average were found in the total sample and each subgroup in North Carolina. Positive ISHS advantages in terms of test scores for the total student sample were found for science in both states and for mathematics in Texas. For the various student subgroups, test score differences favored the ISHS samples but attained statistical significance only for African Americans' science achievement scores in the Texas study.

Encouraging Creativity in a STEM Classroom

Directory of Open Access Journals (Sweden)

David L. Byrum

2015-01-01

Full Text Available The Thailand Ministry of Education’s “Institute for the Promotion of Teaching Science and Technology” (IPST uses the following as its working definition of STEM: “STEM education integrates science, engineering, technology and mathematics focusing on the application of knowledge to real-life problem solving and development of new products or procedures benefiting daily living and livelihood. STEM education infuses the engineering process into the existing science, mathematics and technology curricula to enable utilization of the knowledge to solve actual problems and aid future occupational undertakings.”

Exploring international gender differences in mathematics self-concept

Science.gov (United States)

Goldman, Amy D.; Penner, Andrew M.

2013-01-01

This study provides an international perspective on mathematics by examnnng mathematics self-concept, achievement, and the desire to enter a career involving mathematics among eighth graders in 49 countries. Using data from the Trends in International Mathematics and Science Study, this study shows that self-concept in mathematics is more closely related to the desire to enter a career using mathematics than achievement is. Further, while gender differences in mathematics self-concept are smaller in more egalitarian countries, both girls and boys have lower mathematics self-concepts and less interest in mathematics careers in these countries. These findings reveal a policy paradox: policies aimed at training the next generation of STEM professionals often highlight the need to close the gender gap, but countries with smaller gender gaps have fewer boys and girls interested in mathematics-intensive careers. We conclude by highlighting the importance of disentangling instrumental and expressive aspects of gender inequality in STEM fields. PMID:27840545

Connecting Mathematics and Writing Workshop: It's Kinda like Ice Skating

Science.gov (United States)

Carter, Susan

2009-01-01

Second-grade students struggle with writing about mathematical topics during math class, so the teacher begins to integrate mathematical topics into their Writing Workshop. Content journals are used during math, and students are encouraged to write about personal connections to mathematical situations, as well as incorporate mathematical concepts…

Understanding why women are under-represented in Science, Technology, Engineering and Mathematics (STEM within Higher Education: a regional case study

Directory of Open Access Journals (Sweden)

Michael Christie

Full Text Available Abstract Participation rates of women in Science, Technology, Engineering and Mathematics (STEM is comparatively low and their attrition rates high. An obvious solution is to attract more women to study such subjects. In 2016 the authors undertook research to find out why so few women enrolled in STEM subjects and investigate ways of increasing their recruitment and retention in this area. The informants in our study were enrolled in a tertiary preparation course as well as nursing and education programs. A critique of the literature was used to develop a survey that informed focus group and interview schedules which were used in collecting data. Our study found that many of the factors that hindered women from applying for STEM courses twenty years ago still apply today and recommends actions that can help increase recruitment of women into STEM and assist their retention and graduation in those areas of tertiary education.

Mathematical bridges

CERN Document Server

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...

Estuarine Ecosystems: Using T & E Signature Approaches to Support STEM Integration

Science.gov (United States)

McCulloch, Allison W.; Ernst, Jeremy V.

2012-01-01

STEM-based understandings and experiences that prepare learners beyond the classroom are of imminent need, as today's STEM education students are tomorrow's leaders in science, technology, engineering, mathematics, and education (Prabhu, 2009). Integrative STEM education signifies the intentional integration of science and mathematics with the…

Acceleration of diabetic wound healing with adipose-derived stem cells, endothelial-differentiated stem cells, and topical conditioned medium therapy in a swine model.

Science.gov (United States)

Irons, Robin F; Cahill, Kevin W; Rattigan, Deviney A; Marcotte, Joseph H; Fromer, Marc W; Chang, Shaohua; Zhang, Ping; Behling, Eric M; Behling, Kathryn C; Caputo, Francis J

2018-05-09

The purpose of our study was to investigate the effect of adipose-derived stem cells (ASCs), endothelial-differentiated ASCs (EC/ASCs), and various conditioned media (CM) on wound healing in a diabetic swine model. We hypothesized that ASC-based therapies would accelerate wound healing. Diabetes was induced in four Yorkshire swine through intravenous injection of streptozotocin. ASCs were harvested from flank fat and cultured in either M199 or EGM-2 medium. A duplicate series of seven full-thickness dorsal wounds were surgically created on each swine. The wounds in the cellular treatment group underwent injection of low-dose or high-dose ASCs or EC/ASCs on day 0, with a repeat injection of one half of the initial dose on day 15. Wounds assigned to the topical CM therapy were covered with 2 mL of either serum-free M199 primed by ASCs or human umbilical vein endothelial cells every 3 days. Wounds were assessed at day 0, 10, 15, 20, and 28. The swine were sacrificed on day 28. ImageJ software was used to evaluate the percentage of wound healing. The wounded skin underwent histologic, reverse transcription polymerase chain reaction, and enzyme-linked immunosorbent assay examinations to evaluate markers of angiogenesis and inflammation. We found an increase in the percentage of wound closure rates in cell-based treatments and topical therapies at various points compared with the untreated control wounds (P swine model. Enhanced angiogenesis and immunomodulation might be key contributors to this process. The purpose of the present study was to translate the known beneficial effects of adipose-derived stem cells and associated conditioned medium therapy on diabetic wound healing to a large animal model. We demonstrated that stem cell and conditioned medium therapy significantly accelerate gross wound healing in diabetic swine, with data suggesting this might result from a decreased inflammatory response and increased angiogenesis. Copyright © 2018 Society for

Towards the realization of a basic professional prole model forScience, Technology and Mathematics (STEM teachers

Directory of Open Access Journals (Sweden)

Juan Quílez

2017-01-01

Full Text Available In  this  work  it  is  both  discussed  and  provided  a  framework  of  specific  competences  that  may  serve  as a  guide  for  setting  up  an  ongoing  process  in  the  professional  development  of  Science,  Technology  and Mathematics  (STEM  teachers.  The  fundamentals  of  the  TPACK  model  serve  to  base  the  theoretical background of this scheme, to which we have incorporated an additional feature which means to consider the linguistic (L dimension, thus transforming it into the TPACLK model. The different detailed professional STEM capacities have been classified into six main sections. The two first points discussed establish the STEM disciplinary and didactic capacities; the third section corresponds to the role of language in the STEM classroom; the fourth category is focused on the motivational elements of the teaching and learning process;  the   fifth  corresponds  to  the  self-perception  of  teachers  and  the  last  section  summarises  how  to integrate effectively the information and communication technologies into the educational STEM activity. This professional development is framed within innovative and research educational activities.

Using Technology to Promote Mathematical Discourse Concerning Women in Mathematics

Science.gov (United States)

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…

Discrete mathematics in the high school curriculum

NARCIS (Netherlands)

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

2004-01-01

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

Females and STEM: Determining the K-12 Experiences that Influenced Women to Pursue STEM Fields

Science.gov (United States)

Petersen, Anne Marie

In the United States, careers in the fields of Science, Technology, Engineering, and Mathematics (STEM) are increasing yet there are not enough trained personnel to meet this demand. In addition, of those that seek to pursue STEM fields in the United States, only 26% are female. In order to increase the number of women seeking STEM based bachelor's degrees, K-12 education must provide a foundation that prepares students for entry into these fields. The purpose of this phenomenological study was to determine the perceived K-12 experiences that influenced females to pursue a STEM field. Twelve college juniors or seniors seeking a degree in Biology, Mathematics, or Physics were interviewed concerning their K-12 experiences. These interviews were analyzed and six themes emerged. Teacher passion and classroom characteristics such as incorporating challenging activities played a significant role in the females' decisions to enter STEM fields. Extra-curricular activities such as volunteer and mentor opportunities and the females' need to benefit others also influenced females in their career choice. Both the formal (within the school) and informal (outside of the traditional classroom) pipeline opportunities that these students encountered helped develop a sense of self-efficacy in science and mathematics; this self-efficacy enabled them to persist in pursuing these career fields. Several participants cited barriers that they encountered in K-12 education, but these barriers were primarily internal as they struggled with overcoming self-imposed obstacles in learning and being competitive in the mathematics and science classrooms. The experiences from these female students can be used by K-12 educators to prepare and encourage current female students to enter STEM occupations.

Topics in the mathematical physics of E-infinity theory

International Nuclear Information System (INIS)

El Naschie, M.S.

2006-01-01

This is the fourth contribution in a series of papers aimed at directing the attention of the prospective E-infinity researcher to the most important mathematical background and sources needed for an easy understanding and successful application of this theory. The present paper is mainly concerned with the mathematical physics relevant to E-infinity theory with emphasis on super Yang-Mills theory and superstrings

Carl Stumpf's philosophy of mathematics

NARCIS (Netherlands)

Ierna, Carlo

2015-01-01

Like most of Franz Brentano's students, Carl Stumpf showed an interest in the philosophy of mathematics. In particular, Stumpf wrote his habilitation thesis On the Foundations of Mathematics, used mathematical examples in central parts of his lectures, and later returned to the topic in the

The Current Status of STEM Education Research

Science.gov (United States)

Brown, Josh

2012-01-01

This paper explores the current Science, Technology, Engineering and Mathematics (STEM) education research base through an analysis of articles from eight journals focused on the STEM disciplines. Analyzed are both practitioner and research publications to determine the current scope of STEM education research, where current STEM education…

What do mathematics teachers and teacher trainees know about the history of mathematics?

Science.gov (United States)

Gazit, Avikam

2013-06-01

The aim of this study is to present the findings of a study that examined the knowledge of mathematics teachers and teacher trainees, in different tracks, about the concepts, topics and characters from the history of mathematics. The findings indicate a lack of knowledge concerning most of the topics examined. Only about 40% of the participants knew about the origin of our counting system and the only item that reached above 50% was the item relating to the man who edited the book which is the basis for the plane geometry - Euclid (about 83%). Another meaningful finding was that the group with the highest score was that of mathematics teacher trainees in the accelerated track - a unique training scheme for middle school teachers (65.7%). The group with the lowest score was that of the elementary school mathematics student teachers (19.3%). One obvious conclusion is that we need to strengthen the knowledge of the history of mathematics in teacher training and in-service teachers' advanced studies.

Countries with Higher Levels of Gender Equality Show Larger National Sex Differences in Mathematics Anxiety and Relatively Lower Parental Mathematics Valuation for Girls.

Science.gov (United States)

Stoet, Gijsbert; Bailey, Drew H; Moore, Alex M; Geary, David C

2016-01-01

Despite international advancements in gender equality across a variety of societal domains, the underrepresentation of girls and women in Science, Technology, Engineering, and Mathematics (STEM) related fields persists. In this study, we explored the possibility that the sex difference in mathematics anxiety contributes to this disparity. More specifically, we tested a number of predictions from the prominent gender stratification model, which is the leading psychological theory of cross-national patterns of sex differences in mathematics anxiety and performance. To this end, we analyzed data from 761,655 15-year old students across 68 nations who participated in the Programme for International Student Assessment (PISA). Most importantly and contra predictions, we showed that economically developed and more gender equal countries have a lower overall level of mathematics anxiety, and yet a larger national sex difference in mathematics anxiety relative to less developed countries. Further, although relatively more mothers work in STEM fields in more developed countries, these parents valued, on average, mathematical competence more in their sons than their daughters. The proportion of mothers working in STEM was unrelated to sex differences in mathematics anxiety or performance. We propose that the gender stratification model fails to account for these national patterns and that an alternative model is needed. In the discussion, we suggest how an interaction between socio-cultural values and sex-specific psychological traits can better explain these patterns. We also discuss implications for policies aiming to increase girls' STEM participation.

Countries with Higher Levels of Gender Equality Show Larger National Sex Differences in Mathematics Anxiety and Relatively Lower Parental Mathematics Valuation for Girls

Science.gov (United States)

2016-01-01

Despite international advancements in gender equality across a variety of societal domains, the underrepresentation of girls and women in Science, Technology, Engineering, and Mathematics (STEM) related fields persists. In this study, we explored the possibility that the sex difference in mathematics anxiety contributes to this disparity. More specifically, we tested a number of predictions from the prominent gender stratification model, which is the leading psychological theory of cross-national patterns of sex differences in mathematics anxiety and performance. To this end, we analyzed data from 761,655 15-year old students across 68 nations who participated in the Programme for International Student Assessment (PISA). Most importantly and contra predictions, we showed that economically developed and more gender equal countries have a lower overall level of mathematics anxiety, and yet a larger national sex difference in mathematics anxiety relative to less developed countries. Further, although relatively more mothers work in STEM fields in more developed countries, these parents valued, on average, mathematical competence more in their sons than their daughters. The proportion of mothers working in STEM was unrelated to sex differences in mathematics anxiety or performance. We propose that the gender stratification model fails to account for these national patterns and that an alternative model is needed. In the discussion, we suggest how an interaction between socio-cultural values and sex-specific psychological traits can better explain these patterns. We also discuss implications for policies aiming to increase girls’ STEM participation. PMID:27100631

Handbook of mathematics

CERN Document Server

Kuipers, L

1969-01-01

International Series of Monographs in Pure and Applied Mathematics, Volume 99: Handbook of Mathematics provides the fundamental mathematical knowledge needed for scientific and technological research. The book starts with the history of mathematics and the number systems. The text then progresses to discussions of linear algebra and analytical geometry including polar theories of conic sections and quadratic surfaces. The book then explains differential and integral calculus, covering topics, such as algebra of limits, the concept of continuity, the theorem of continuous functions (with examp

A Study to Determine the Basic Science and Mathematics Topics Most Needed by Engineering Technology Graduates of Wake Technical Institute in Performing Job Duties.

Science.gov (United States)

Edwards, Timothy I.; Roberson, Clarence E., Jr.

A survey of 470 graduates of the six engineering technology programs at Wake Technical Institute--Architectural, Chemical, Civil Engineering, Computer, Electronic Engineering, and Industrial Engineering Technologies--and 227 of their employers was conducted in October, 1979, to determine the science and mathematics topics most needed by…

Enhancing the Psychology STEM Student Journey

Science.gov (United States)

Hill, Kimberley M.

2017-01-01

Psychology is a valuable Science, Technology, Engineering, and Mathematics (STEM) discipline, but one which could do far more at communicating its value to the wider public. This paper discusses how popular initiatives, such as "The University of Northampton's STEM Champions" programme, enhance psychology's STEM membership, while…

Applied mathematics

CERN Document Server

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

Increasing College Students' Interest and Engagement in STEM: A Comparison of Strategies for Challenging STEM Stereotypes

Science.gov (United States)

Shin, Jiyun Elizabeth L.

2016-01-01

Increasing science, technology, engineering, and mathematics (STEM) graduates has become an important part of the education agenda in the U.S. in recent years. Stereotypes about STEM (i.e., belief that STEM abilities are innate, and that European American men are best suited for STEM) have been identified as one of the critical factors that may…

Exploring Collective Mathematical Creativity in Elementary School

Science.gov (United States)

Levenson, Esther

2011-01-01

This study combines theories related to collective learning and theories related to mathematical creativity to investigate the notion of collective mathematical creativity in elementary school classrooms. Collective learning takes place when mathematical ideas and actions, initially stemming from an individual, are built upon and reworked,…

Barriers To Successful Implementation of STEM Education

Directory of Open Access Journals (Sweden)

James A. Ejiwale

2013-05-01

Full Text Available The implementation of STEM education in schools across the globe is to prepare the future workforce with strong scientific and mathematical backgrounds to enhance skills development across STEM disciplines. However, for STEM education to achieve its goals and objectives, addressing the barriers to STEM education should start by fixing the problems at the elementary, junior and senior high school levels; the grassroots and potential feeders to colleges and universities. Since many nations including the United States of America is in dire need of the workforce with adequate preparation in science and mathematics to help address the nation’s economy that is in shambles, the barriers to its successful implementation should be identified and addressed. In this paper, (a the definition of STEM education and (b some barriers to successful implementation of STEM education are discussed and elaborated.

Astronomy in Denver: Effects of a summer camp on girls’ preconceived notions of careers in STEM

Science.gov (United States)

Hoffman, Jennifer L.; Fetrow, Kirsten J.; Broder, Dale E.; Murphy, Shannon M.; Tinghitella, Robin; Hart, Quyen N.

2018-06-01

Despite gains in recent years, gender disparities persist in fields related to science, technology, engineering, and mathematics (STEM). Although young women can perform as well as their male peers in STEM courses and tests, they are less likely to pursue higher education and careers in STEM. Our study examined the effectiveness of a STEM-focused summer camp at increasing middle-school girls’ career aspirations in STEM and self-confidence with respect to scientific topics. The 15 participants were Denver-area girls ages 10 to 13 years old from groups underrepresented in STEM fields. During the weeklong DU SciTech camp, these girls built telescopes and computers, collected and classified insects, completed inquiry activities, and interacted with female STEM professionals from a variety of scientific fields and racial backgrounds. We hypothesized that camp attendance would expand girls’ perceptions of who does science, increase their awareness of and interest in STEM careers, and increase their scientific self-efficacy, or belief in their ability to succeed at STEM tasks. We found that DU SciTech improved the girls’ scientific self-efficacy and awareness of STEM careers, but it did not increase their (already high) interest in pursuing their own careers in STEM. We will present our results and discuss their implications for future summer camps and efforts to broaden STEM participation by young women from underrepresented groups.

Integrative STEM Education Defined

OpenAIRE

Sanders, Mark E.

2015-01-01

“My work with integrative STEM education began in 1990 with the NSF-funded Technology, Science, Mathematics Integration Project… By 2008, I was convinced “STEM Education” was (and always would be) a hopelessly ambiguous phrase, and therefore felt we absolutely needed to rename our “STEM Education” graduate program and develop a tight operational definition of the central idea underlying our program, in hopes of preventing the sort of hopeless ambiguity that ruined the term “STEM education” fr...

Utility-value intervention with parents increases students' STEM preparation and career pursuit.

Science.gov (United States)

Rozek, Christopher S; Svoboda, Ryan C; Harackiewicz, Judith M; Hulleman, Chris S; Hyde, Janet S

2017-01-31

During high school, developing competence in science, technology, engineering, and mathematics (STEM) is critically important as preparation to pursue STEM careers, yet students in the United States lag behind other countries, ranking 35th in mathematics and 27th in science achievement internationally. Given the importance of STEM careers as drivers of modern economies, this deficiency in preparation for STEM careers threatens the United States' continued economic progress. In the present study, we evaluated the long-term effects of a theory-based intervention designed to help parents convey the importance of mathematics and science courses to their high-school-aged children. A prior report on this intervention showed that it promoted STEM course-taking in high school; in the current follow-up study, we found that the intervention improved mathematics and science standardized test scores on a college preparatory examination (ACT) for adolescents by 12 percentile points. Greater high-school STEM preparation (STEM course-taking and ACT scores) was associated with increased STEM career pursuit (i.e., STEM career interest, the number of college STEM courses, and students' attitudes toward STEM) 5 y after the intervention. These results suggest that the intervention can affect STEM career pursuit indirectly by increasing high-school STEM preparation. This finding underscores the importance of targeting high-school STEM preparation to increase STEM career pursuit. Overall, these findings demonstrate that a motivational intervention with parents can have important effects on STEM preparation in high school, as well as downstream effects on STEM career pursuit 5 y later.

A discrete transition to advanced mathematics

CERN Document Server

Richmond, Bettina

2009-01-01

As the title indicates, this book is intended for courses aimed at bridging the gap between lower-level mathematics and advanced mathematics. The text provides a careful introduction to techniques for writing proofs and a logical development of topics based on intuitive understanding of concepts. The authors utilize a clear writing style and a wealth of examples to develop an understanding of discrete mathematics and critical thinking skills. While including many traditional topics, the text offers innovative material throughout. Surprising results are used to motivate the reader. The last thr

Stem Cell Information: Glossary

Science.gov (United States)

... Tips Info Center Research Topics Federal Policy Glossary Stem Cell Information General Information Clinical Trials Funding Information Current ... here Home » Glossary Back to top Glossary Adult stem cell Astrocyte Blastocoel Blastocyst Bone marrow stromal cells Bone ...

Exploring the undergraduate experience of Latina students in Science, Technology, Engineering, and Mathematics (STEM) majors: Motivators and strategies for achieving baccalaureate attainment

Science.gov (United States)

Carbajal, Sandy C.

Drawing from Latino/a Critical Race Theory and the related Community Cultural Wealth (CCW) model, I concentrate on three forms of CCW---aspirational, navigational, and resistance capital---for this qualitative study on the undergraduate experience of Latina students in Science, Technology, Engineering, and Mathematics (STEM) majors, focusing on strategies and achieving baccalaureate attainment. I interviewed ten Latina students and asked them questions regarding their educational experiences in STEM majors, what contributed to their degree completion, and the strategies they employed for achieving baccalaureate attainment. I identified and described six themes within the study (the underrepresentation of Latinas in STEM majors, the lack of preparation by academic programs for upper division courses, motivators, involvement, time management, and support networks) that, when combined, contributed to participants' degree attainment. This study concludes with implications for policy and practice that would allow universities to better assist Latinas in STEM majors to achieve baccalaureate attainment.

Are Universities Providing Non-STEM Students the Mathematics Preparation Required by Their Programs?: A Case Study of A Quantitative Literacy Pathway and Vertical Alignment from Remediation to Degree Completion

Science.gov (United States)

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…

Mathematics for physical chemistry

CERN Document Server

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

Modularizing Remedial Mathematics

Science.gov (United States)

Wong, Aaron

2013-01-01

As remedial mathematics education has become an increasingly important topic of conversation in higher education. Mathematics departments have been put under increased pressure to change their programs to increase the student success rate. A number of models have been introduced over the last decade that represent a wide range of new ideas and…

Gender Gap in Science, Technology, Engineering, and Mathematics (STEM): Current Knowledge, Implications for Practice, Policy, and Future Directions.

Science.gov (United States)

Wang, Ming-Te; Degol, Jessica L

2017-03-01

Although the gender gap in math course-taking and performance has narrowed in recent decades, females continue to be underrepresented in math-intensive fields of Science, Technology, Engineering, and Mathematics (STEM). Career pathways encompass the ability to pursue a career as well as the motivation to employ that ability. Individual differences in cognitive capacity and motivation are also influenced by broader sociocultural factors. After reviewing research from the fields of psychology, sociology, economics, and education over the past 30 years, we summarize six explanations for US women's underrepresentation in math-intensive STEM fields: (a) cognitive ability, (b) relative cognitive strengths, (c) occupational interests or preferences, (d) lifestyle values or work-family balance preferences, (e) field-specific ability beliefs, and (f) gender-related stereotypes and biases. We then describe the potential biological and sociocultural explanations for observed gender differences on cognitive and motivational factors and demonstrate the developmental period(s) during which each factor becomes most relevant. We then propose evidence-based recommendations for policy and practice to improve STEM diversity and recommendations for future research directions.

Analysis of a STEM Education Professional Development Conference for Pre-Service Educators

Science.gov (United States)

Hardrict-Ewing, Gloria

Science, technology, engineering, and mathematics (STEM) disciplines are attracting increased attention in education. The iSTEM 2017 conference was a professional development program designed to acquaint pre-service teachers with interdisciplinary, research-based STEM instructional strategies that can transform traditional classroom instruction into dynamic learning environments. The STEM Education Scholars (STEMES) is a Learning Community of Practice, housed in the College of Education, at a mid-sized mid-western public research university. The program of study focused on designing a professional development program for future Pre-K12 teachers. The iSTEM 2017 conference presented by the STEMES Community of Practice sought to inform pre-service teachers of STEM pedagogy, and focused on innovative classroom resources, hands-on learning and increasing content confidence when incorporating STEM into classroom instruction. iSTEM 2017 was held in February, 2017, and offered twenty refereed presentations and workshop sessions, a keynote address, and a closing session to over 200 pre-service teachers. Conference participants chose sessions, participated in game-like experiences and shared their learning with each other as well as with conference organizers. Results from participant self-reported surveys were analyzed to measure the impact of the conference on improving participants' confidence in teaching STEM topics, and their attitudes about the instructional methods. These results were added to the conference proceedings, which also contain documentation of each iSTEM 2017 session. Findings suggest that the iSTEM 2017 conference had an overall positive impact on participants' familiarity with STEM education, their belief in the importance of STEM education, and their confidence to integrate STEM education into future instructional practices.

Mathematics for physical chemistry

CERN Document Server

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 ...

STEM based learning to facilitate middle school students’ conceptual change, creativity and collaboration in organization of living system topic

Science.gov (United States)

Rustaman, N. Y.; Afianti, E.; Maryati, S.

2018-05-01

A study using one group pre-post-test experimental design on Life organization system topic was carried out to investigate student’s tendency in learning abstract concept, their creativity and collaboration in designing and producing cell models through STEM-based learning. A number of seventh grade students in Cianjur district were involved as research subjects (n=34). Data were collected using two tier test for tracing changes in student conception before and after the application of STEM-based learning, and rubrics in creativity design (adopted from Torrance) and product on cell models (individually, in group), and rubric for self-assessment and observed skills on collaboration adapted from Marzano’s for life-long learning. Later the data obtained were analyzed qualitatively by interpreting the tendency of data presented in matrix sorted by gender. Research findings showed that the percentage of student’s scientific concept mastery is moderate in general. Their creativity in making a cell model design varied in category (expressing, emergent, excellent, not yet evident). Student’s collaboration varied from excellent, fair, good, less once, to less category in designing cell model. It was found that STEM based learning can facilitate students conceptual change, creativity and collaboration.

The History of Mathematics and Mathematical Education

Science.gov (United States)

Grattan-Guinness, I.

1977-01-01

Answers to questions which were asked after the author's various lectures in Australia are gathered here. Topics touched upon include "new" mathematics, unknown constants and free variables, propositional functions, linear algebra, arithmetic and geometry, and student assessment. (MN)

Introduction to mathematical physics methods and concepts

CERN Document Server

Wong, Chun Wa

2013-01-01

Mathematical physics provides physical theories with their logical basis and the tools for drawing conclusions from hypotheses. Introduction to Mathematical Physics explains to the reader why and how mathematics is needed in the description of physical events in space. For undergraduates in physics, it is a classroom-tested textbook on vector analysis, linear operators, Fourier series and integrals, differential equations, special functions and functions of a complex variable. Strongly correlated with core undergraduate courses on classical and quantum mechanics and electromagnetism, it helps the student master these necessary mathematical skills. It contains advanced topics of interest to graduate students on relativistic square-root spaces and nonlinear systems. It contains many tables of mathematical formulas and references to useful materials on the Internet. It includes short tutorials on basic mathematical topics to help readers refresh their mathematical knowledge. An appendix on Mathematica encourages...

Interactive physics apparatus: influence on interest of secondary school students in pursuing a career path in science, technology, engineering and mathematics (STEM)

Science.gov (United States)

Lubrica, Joel V.; Abiasen, Jovalson T.; Dolipas, Bretel B.; Ramos, Jennifer Lyn S.

2017-01-01

In this article, we present results of our endeavours as physics educators to facilitate and support pedagogical change and development in the educational system of a developing country, the Philippines. We have discovered that the interaction of junior high school (years 7-10) students with physics apparatus can influence students’ interest in pursuing a career in science, technology, engineering and mathematics (STEM). This assertion stems from self-reports of students who gave their views immediately after their exposure to interactive apparatus in their own school, outside of their usual lessons. Participants claimed that their interest in following a STEM career path was ‘greatly increased’ due to their exposure to these apparatus. This was true even for students who were intending to take a non-STEM career path. Thus, we recommend that, in settings that have constraints involving access to practical equipment, ways to introduce school level interactive physics apparatus to secondary school students be conducted in order to attract more students towards STEM courses. Possibly, policies encouraging this type of exposure should also be formulated.

What is mathematical logic?

CERN Document Server

Crossley, J N; Brickhill, CJ; Stillwell, JC

2010-01-01

Although mathematical logic can be a formidably abstruse topic, even for mathematicians, this concise book presents the subject in a lively and approachable fashion. It deals with the very important ideas in modern mathematical logic without the detailed mathematical work required of those with a professional interest in logic.The book begins with a historical survey of the development of mathematical logic from two parallel streams: formal deduction, which originated with Aristotle, Euclid, and others; and mathematical analysis, which dates back to Archimedes in the same era. The streams beg

Mathematical Education for Geographers

Science.gov (United States)

Wilson, Alan

1978-01-01

Outlines mathematical topics of use to college geography students identifies teaching methods for mathematical techniques in geography at the University of Leeds; and discusses problem of providing students with a framework for synthesizing all content of geography education. For journal availability, see SO 506 593. (Author/AV)

Mathematical Practices and Arts Integration in an Activity-Based Projective Geometry Course

Science.gov (United States)

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

Modern mathematics made simple

CERN Document Server

Murphy, Patrick

1982-01-01

Modern Mathematics: Made Simple presents topics in modern mathematics, from elementary mathematical logic and switching circuits to multibase arithmetic and finite systems. Sets and relations, vectors and matrices, tesselations, and linear programming are also discussed.Comprised of 12 chapters, this book begins with an introduction to sets and basic operations on sets, as well as solving problems with Venn diagrams. The discussion then turns to elementary mathematical logic, with emphasis on inductive and deductive reasoning; conjunctions and disjunctions; compound statements and conditional

Mathematics for sustainability

CERN Document Server

Roe, John; Jamshidi, Sara

2018-01-01

Designed for the 21st century classroom, this textbook poses, refines, and analyzes questions of sustainability in a quantitative environment. Building mathematical knowledge in the context of issues relevant to every global citizen today, this text takes an approach that empowers students of all disciplines to understand and reason with quantitative information. Whatever conclusions may be reached on a given topic, this book will prepare the reader to think critically about their own and other people’s arguments and to support them with careful, mathematical reasoning. Topics are grouped in themes of measurement, flow, connectivity, change, risk, and decision-making. Mathematical thinking is at the fore throughout, as students learn to model sustainability on local, regional, and global scales. Exercises emphasize concepts, while projects build and challenge communication skills. With no prerequisites beyond high school algebra, instructors will find this book a rich resource for engaging all majors in the...

Topics in Operator Theory

CERN Document Server

Ball, Joseph A; Helton, JWilliam; Rodman, Leiba; Spitkovsky, Iiya

2010-01-01

This is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.

Proceedings of the international conference on selected topics in quantum field theory and mathematical physics

Energy Technology Data Exchange (ETDEWEB)

Niederle, J; Bednar, M; Bicak, J

1987-01-01

The conference, the fourth in the series of conferences on this subject, was held at the Bechyne castle (Czechoslovakia) on June 23-27, 1986, and was attended by about 100 theoreticians from 15 countries. The conference was organized by the Institute of Physics of the Czechoslovak Academy of Sciences in Prague together with the Faculties of Mathematics and Physics of the Charles University, Prague, and of the Comenius University, Bratislava, the Faculty of Nuclear Science and Physical Engineering of the Czech Techical University, Prague, with the Institute of Physics of the Electro-Physical Research Centre of the Slovak Academy of Sciences, Bratislava, and the Institute of Nuclear Physics of the Czechoslovak Academy of Sciences in Rez. It was sponsored by the International Union for Pure and Applied Physics, the International Association of Mathematical Physics and the Physical Scientific Section of the Union of Czechoslovak Mathematicians and Physicists. The main subjects discussed at the conference were: supersymmetries, supergravity and superstring theories; quantum field theory and in particular gauge theories, theories on lattices, renormalization; selected topics in non-linear equations, scattering theory and quantization. Details are given in the attached program. The proceedings include invited talks and contributions presented respectively at the morning and afternoon sessions of the conference. The main part of the proceedings will be published in the Czechoslovak Journal of Physics v. 37(1987), nos. 3,4 and 9.

Proceedings of the international conference on selected topics in quantum field theory and mathematical physics

International Nuclear Information System (INIS)

Niederle, J.; Bednar, M.; Bicak, J.

1987-01-01

The conference, the fourth in the series of conferences on this subject, was held at the Bechyne castle (Czechoslovakia) on June 23-27, 1986, and was attended by about 100 theoreticians from 15 countries. The conference was organized by the Institute of Physics of the Czechoslovak Academy of Sciences in Prague together with the Faculties of Mathematics and Physics of the Charles University, Prague, and of the Comenius University, Bratislava, the Faculty of Nuclear Science and Physical Engineering of the Czech Techical University, Prague, with the Institute of Physics of the Electro-Physical Research Centre of the Slovak Academy of Sciences, Bratislava, and the Institute of Nuclear Physics of the Czechoslovak Academy of Sciences in Rez. It was sponsored by the International Union for Pure and Applied Physics, the International Association of Mathematical Physics and the Physical Scientific Section of the Union of Czechoslovak Mathematicians and Physicists. The main subjects discussed at the conference were: supersymmetries, supergravity and superstring theories; quantum field theory and in particular gauge theories, theories on lattices, renormalization; selected topics in non-linear equations, scattering theory and quantization. Details are given in the attached program. The proceedings include invited talks and contributions presented respectively at the morning and afternoon sessions of the conference. The main part of the proceedings will be published in the Czechoslovak Journal of Physics v. 37(1987), nos. 3,4 and 9. (author)

The M in Stem via the M in Epidemiology

Science.gov (United States)

Griffiths, Martin

2011-01-01

It is the case that some activities claiming to reside under the STEM umbrella do not, in fact, give participants the opportunity to engage in anything other than routine mathematics. With this in mind, we explore here the potential for developing and then delivering STEM activities based on the discipline of mathematical epidemiology. We argue…

Trends in researching the socioeconomic influences on mathematical achievement

DEFF Research Database (Denmark)

Valero, Paola; Meaney, Tamsin

2014-01-01

We introduce the topic of socioeconomic influences on mathematical achievement through an overview of existing research reports and articles. International trends in the way the topic has emerged and become increasingly important in the international field of mathematics education research are ou...

Topics in statistical and theoretical physics

CERN Document Server

Dobrushin, R L; Shubin, M A

1996-01-01

This is the second of two volumes dedicated to the scientific heritage of F. A. Berezin (1931-1980). Before his untimely death, Berezin had an important influence on physics and mathematics, discovering new ideas in mathematical physics, representation theory, analysis, geometry, and other areas of mathematics. His crowning achievements were the introduction of a new notion of deformation quantization and Grassmannian analysis ("supermathematics"). Collected here are papers by many of his colleagues and others who worked in related areas, representing a wide spectrum of topics in statistical a

Mathematical aspects of quantum field theory

CERN Document Server

de Faria, Edson

2010-01-01

Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents the basic ideas and tools from quantum field theory to a mathematical audience. Topics include classical and quantum mechanics, classical field theory, quantization of classical fields, perturbative quantum field theory, renormalization, and the standard model. The material is also accessible to physicists seeking a better understanding of the mathematical background, providing the necessary tools from differential geometry on such topics as connections and gauge fields, vector and spinor bundles, symmetries and group representations.

Connecting Mathematics Learning through Spatial Reasoning

Science.gov (United States)

Mulligan, Joanne; Woolcott, Geoffrey; Mitchelmore, Michael; Davis, Brent

2018-01-01

Spatial reasoning, an emerging transdisciplinary area of interest to mathematics education research, is proving integral to all human learning. It is particularly critical to science, technology, engineering and mathematics (STEM) fields. This project will create an innovative knowledge framework based on spatial reasoning that identifies new…

Mathematization in introductory physics

Science.gov (United States)

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

Examining Thai high school students' developing STEM projects

Science.gov (United States)

Teenoi, Kultida; Siripun, Kulpatsorn; Yuenyong, Chokchai

2018-01-01

Like others, Thailand education strongly focused on STEM education. This paper aimed to examine existing Thai high school students' integrated knowledge about science, technology, engineering, and mathematics (STEM) in their developing science project. The participants included 49 high school students were studying the subject of individual study (IS) in Khon Kaen wittayayon school, Khon Kaen, Thailand. The IS was provided to gradually enhance students to know how to do science project starting from getting start to do science projects, They enrolled to study the individual study of science project for three year in roll. Methodology was qualitative research. Views of students' integrated knowledge about STEM were interpreted through participant observation, interview, and students' science projects. The first author as participant observation has taught this group of students for 3 years. It found that 16 science projects were developed. Views of students' integrated knowledge about STEM could be categorized into three categories. These included (1) completely indicated integration of knowledge about science, technology, engineering, and mathematics, (2) partial indicated integration of knowledge about science, technology, engineering, and mathematics, and (3) no integration. The findings revealed that majority of science projects could be categorized as completely indicated integration of knowledge about science, technology, engineering, and mathematics. The paper suggested some ideas of enhancing students to applying STEM for developing science projects.

Advancing STEM Education: A 2020 Vision

Science.gov (United States)

Bybee, Rodger W.

2010-01-01

STEM (an acronym for science, technology, engineering and mathematics) had its origins in the 1990s at the National Science Foundation (NSF) and has been used as a generic label for any event, policy, program, or practice that involves one or several of the STEM disciplines. However, a recent survey on the "perception of STEM" found that most…

Episodes in the mathematics of medieval Islam

CERN Document Server

Berggren, J L

2016-01-01

This book presents an account of selected topics from key mathematical works of medieval Islam, based on the Arabic texts themselves. Many of these works had a great influence on mathematics in Western Europe. Topics covered in the first edition include arithmetic, algebra, geometry, trigonometry, and numerical approximation; this second edition adds number theory and combinatorics. Additionally, the author has included selections from the western regions of medieval Islam—both North Africa and Spain. The author puts the works into their historical context and includes numerous examples of how mathematics interacted with Islamic society.

Financial Literacy: Mathematics and Money Improving Student Engagement

Science.gov (United States)

Attard, Catherine

2018-01-01

The low levels of student engagement with mathematics has been of significant concern in Australia for some time (Attard, 2013). This is a particularly important issue in mathematics education given the current attention to science, technology, engineering and mathematics (STEM) education to ensure "the continued prosperity of Australia on…

An invitation to critical mathematics education

DEFF Research Database (Denmark)

Skovsmose, Ole

An Invitation to Critical Mathematics Education deals with a range of crucial topics. Among these are students’ foreground, landscapes of investigation, and mathematics in action. The book is intended for a broad audience: educators, students, teachers, policy makers, anybody interested...... in the further development of mathematics education. The book discusses concerns and preoccupation. This way it provides an invitation into critical mathematics education....

Ethnic variation in gender-STEM stereotypes and STEM participation: an intersectional approach.

Science.gov (United States)

O'Brien, Laurie T; Blodorn, Alison; Adams, Glenn; Garcia, Donna M; Hammer, Elliott

2015-04-01

Stereotypes associating men and masculine traits with science, technology, engineering, and mathematics (STEM) fields are ubiquitous, but the relative strength of these stereotypes varies considerably across cultures. The present research applies an intersectional approach to understanding ethnic variation in gender-STEM stereotypes and STEM participation within an American university context. African American college women participated in STEM majors at higher rates than European American college women (Study 1, Study 2, and Study 4). Furthermore, African American women had weaker implicit gender-STEM stereotypes than European American women (Studies 2-4), and ethnic differences in implicit gender-STEM stereotypes partially mediated ethnic differences in STEM participation (Study 2 and Study 4). Although African American men had weaker implicit gender-STEM stereotypes than European American men (Study 4), ethnic differences between men in STEM participation were generally small (Study 1) or nonsignificant (Study 4). We discuss the implications of an intersectional approach for understanding the relationship between gender and STEM participation. (c) 2015 APA, all rights reserved).

Higher engineering mathematics

CERN Document Server

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

An Interdisciplinary Approach to Designing Online Learning: Fostering Pre-Service Mathematics Teachers' Capabilities in Mathematical Modelling

Science.gov (United States)

Geiger, Vince; Mulligan, Joanne; Date-Huxtable, Liz; Ahlip, Rehez; Jones, D. Heath; May, E. Julian; Rylands, Leanne; Wright, Ian

2018-01-01

In this article we describe and evaluate processes utilized to develop an online learning module on mathematical modelling for pre-service teachers. The module development process involved a range of professionals working within the STEM disciplines including mathematics and science educators, mathematicians, scientists, in-service and pre-service…

Current problems in applied mathematics and mathematical physics

Science.gov (United States)

Samarskii, A. A.

Papers are presented on such topics as mathematical models in immunology, mathematical problems of medical computer tomography, classical orthogonal polynomials depending on a discrete variable, and boundary layer methods for singular perturbation problems in partial derivatives. Consideration is also given to the computer simulation of supernova explosion, nonstationary internal waves in a stratified fluid, the description of turbulent flows by unsteady solutions of the Navier-Stokes equations, and the reduced Galerkin method for external diffraction problems using the spline approximation of fields.

Pathways in STEM: Factors Affecting the Retention and Attrition of Talented Men and Women from the STEM Pipeline

Science.gov (United States)

Heilbronner, Nancy N.

2009-01-01

Many men and women who are talented in science, technology, engineering, and/or mathematics (STEM) choose not to pursue undergraduate majors or careers in these fields. To develop talents in STEM, educators must understand the factors that contribute to an individual's retention in STEM domains, as well as the factors that act as barriers to…

Employment of an Informal Educational Mathematical Facility to Lower Math Anxiety and Improve Teacher and Student Attitudes Towards Understanding Mathematics

Science.gov (United States)

Adams, Vicki

2012-01-01

Students do not pursue careers in science, technology, engineering, or mathematics (STEM) because of a lack of ability, but rather a lack of positive experiences with mathematics. Research has concluded that attitudes in math directly influence success in mathematics. As many as 75% of high school graduates in the United States suffer from mild to…

Mathematical and physical theory of turbulence

CERN Document Server

Cannon, John

2006-01-01

Although the current dynamical system approach offers several important insights into the turbulence problem, issues still remain that present challenges to conventional methodologies and concepts. These challenges call for the advancement and application of new physical concepts, mathematical modeling, and analysis techniques. Bringing together experts from physics, applied mathematics, and engineering, Mathematical and Physical Theory of Turbulence discusses recent progress and some of the major unresolved issues in two- and three-dimensional turbulence as well as scalar compressible turbulence. Containing introductory overviews as well as more specialized sections, this book examines a variety of turbulence-related topics. The authors concentrate on theory, experiments, computational, and mathematical aspects of Navier-Stokes turbulence; geophysical flows; modeling; laboratory experiments; and compressible/magnetohydrodynamic effects. The topics discussed in these areas include finite-time singularities a...

Mathematics revealed

CERN Document Server

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

College Students’ Views of Work–Life Balance in STEM Research Careers: Addressing Negative Preconceptions

Science.gov (United States)

Tan-Wilson, Anna; Stamp, Nancy

2015-01-01

In career discussions, female undergraduates said that if they were to attend graduate school in science, technology, engineering, and mathematics (STEM) and were to follow a career based on their research training, they would have to give up having a family. A subsequent survey showed that many students, both men and women, thought work–life balance would be more difficult to achieve in a STEM research path than in other professions they were considering. Their views of STEM research being less family-friendly were more pronounced on issues of parental leaves and caring for children than finding a spouse/partner and landing two jobs in the same locality. To provide role models of work–life balance in STEM professions, we convened panels of dual-career couples who described how they worked together to raise their children while advancing their scientific careers. Our selection of panelists and topics of discussion were based on findings of social science research on work–life balance. On a survey with the same questions administered afterward, the changes in paired responses of male and female students with respect to all four issues showed a significant shift toward thinking that a research-based STEM career would be no more difficult than other careers they were considering. PMID:26163564

Treatment Duration of Topics in Senior Secondary School Core ...

African Journals Online (AJOL)

kofimereku

years to better equip the students for university education (Daily Graphic of. September 15th 1998). .... five items similar to those in the SS Mathematics Book 3, and covered all the sub-topics of the topic ..... Soviet Union. United States. 181. 188.

Profiles of Opportunities to Learn for TEDS-M Future Secondary Mathematics Teachers

Science.gov (United States)

Wang, Ting-Ying; Tang, Shu-Jyh

2013-01-01

This study used the data set from the Teacher Education and Development Study in Mathematics to identify the profiles of opportunities to learn (OTL) regarding topics studied in teacher preparation programs by future secondary mathematics teachers from 15 participating countries. The topics of inquiry covered tertiary-level mathematics,…

Contemporary mathematical physics

CERN Document Server

Dobrushin, R L; Shubin, M A; Vershik, Anatoly M

1996-01-01

This first of a two-volume collection is a celebration of the scientific heritage of F. A. Berezin (1931-1980). Before his untimely death, Berezin had an important influence on physics and mathematics, discovering new ideas in mathematical physics, representation theory, analysis, geometry, and other areas of mathematics. His crowning achievements were the introduction of a new notion of deformation quantization, and Grassmannian analysis ("supermathematics"). Collected here are papers by his many of his colleagues and others who worked in related areas, representing a wide spectrum of topics

Discrete mathematics in deaf education: a survey of teachers' knowledge and use.

Science.gov (United States)

Pagliaro, Claudia M; Kritzer, Karen L

The study documents what deaf education teachers know about discrete mathematics topics and determines if these topics are present in the mathematics curriculum. Survey data were collected from 290 mathematics teachers at center and public school programs serving a minimum of 120 students with hearing loss, grades K-8 or K-12, in the United States. Findings indicate that deaf education teachers are familiar with many discrete mathematics topics but do not include them in instruction because they consider the concepts too complicated for their students. Also, regardless of familiarity level, deaf education teachers are not familiar with discrete mathematics terminology; nor is their mathematics teaching structured to provide opportunities to apply the real-world-oriented activities used in discrete mathematics instruction. Findings emphasize the need for higher expectations of students with hearing loss, and for reform in mathematics curriculum and instruction within deaf education.

Do High School STEM Courses Prepare Non-College Bound Youth for Jobs in the STEM Economy?

Science.gov (United States)

Bozick, Robert; Srinivasan, Sinduja; Gottfried, Michael

2017-01-01

Our study assesses whether high school science, technology, engineering, and mathematics (STEM) courses provide non-college bound youth with the skills and training necessary to successfully transition from high school into the STEM economy. Specifically, our study estimates the effects that advanced math, advanced science, engineering, and…

Courses on the Beauty of Mathematics: Our Version of General Education Mathematics Courses

Science.gov (United States)

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…

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....

Digital fabrication as an instructional technology for supporting upper elementary and middle school science and mathematics education

Science.gov (United States)

Tillman, Daniel

mentioned most often by students as self-reported likes about the experience included: hands-on activities including building, making, or designing (18 of 29 students mentioned; 62.1%), experimenting (9 of 29; 31.0%), presenting (9 of 29; 31.0%), drawing (6 of 29; 20.7%), and working in groups (6 of 29; 20.7%). The six topics most mentioned by students as self-reported dislikes about the experience included: taking tests (13 of 29 students mentioned; 44.8%), drawing (7 of 29; 24.1%), confusing / too fast (4 of 29; 13.8%), class discussions (4 of 29; 13.8%), reviewing (4 of 29; 13.8%), and attitude surveys (4 of 29; 13.8%). Cumulatively these three articles aim to contribute to the body of research studying the impact of digital fabrication as an instructional technology for supporting upper elementary and middle school science and mathematics education. This goal is described in greater detail in the "Manuscript Theme" section that begins on the next page. Keywords: STEM, digital fabrication, upper elementary science education, contextual mathematics, modeling-based science instruction, transmedia books, performance assessment, preservice elementary teacher education, science teaching efficacy beliefs

Computer Algebra Recipes for Mathematical Physics

CERN Document Server

Enns, Richard H

2005-01-01

Over two hundred novel and innovative computer algebra worksheets or "recipes" will enable readers in engineering, physics, and mathematics to easily and rapidly solve and explore most problems they encounter in their mathematical physics studies. While the aim of this text is to illustrate applications, a brief synopsis of the fundamentals for each topic is presented, the topics being organized to correlate with those found in traditional mathematical physics texts. The recipes are presented in the form of stories and anecdotes, a pedagogical approach that makes a mathematically challenging subject easier and more fun to learn. Key features: * Uses the MAPLE computer algebra system to allow the reader to easily and quickly change the mathematical models and the parameters and then generate new answers * No prior knowledge of MAPLE is assumed; the relevant MAPLE commands are introduced on a need-to-know basis * All MAPLE commands are indexed for easy reference * A classroom-tested story/anecdote format is use...

Mathematical methods for physicists and engineers

CERN Document Server

Collins, Royal Eugene

2011-01-01

This practical, highly readable text provides physics and engineering students with the essential mathematical tools for thorough comprehension of their disciplines. Featuring all the necessary topics in applied mathematics in the form of programmed instruction, the text can be understood by advanced undergraduates and beginning graduate students without any assistance from the instructor. Topics include elementary vector calculus, matrix algebra, and linear vector operations; the many and varied methods of solving linear boundary value problems, including the more common special functions o

Mathematical Modelling at Secondary School: The MACSI-Clongowes Wood College Experience

Science.gov (United States)

Charpin, J. P. F.; O'Hara, S.; Mackey, D.

2013-01-01

In Ireland, to encourage the study of STEM (science, technology, engineering and mathematics) subjects and particularly mathematics, the Mathematics Applications Consortium for Science and Industry (MACSI) and Clongowes Wood College (County Kildare, Ireland) organized a mathematical modelling workshop for senior cycle secondary school students.…

STEM-21CS Module: Fostering 21st Century Skills through Integrated STEM

Directory of Open Access Journals (Sweden)

Norhaqikah Mohamad Khalil

2017-07-01

Full Text Available Malaysia calls for a society that is highly knowledgeable in the field of Science, Technology, Engineering, and Mathematics (STEM and equipped with 21st century skills to provide professional workforce that can compete globally. The application of a STEM interdisciplinary approach and teaching and learning (T&L strategies such as problem-based and inquiry-based learning are proposed in development of the STEM-21CS Module in order to foster 21st century skills in the existing science curricula. A majority of real-world issues today are interdisciplinary in which they require students to comprehend the need to integrate multiple disciplines to solve them. STEM-21CS Module allows students to master scientific knowledge and subsequently master other disciplinary skills. It is aimed at improving students’ abilities to enrich their knowledge through hands-on and minds-on activities. The field of engineering requires the knowledge of product design and inventive problem solving skills. The integration of information technology in T&L is recommended in meeting the current needs of the Net Generation. Besides that, mathematics plays a vital role in providing computational tools, especially in analysing data. The STEM-21CS Module is expected to nurture 21st century skills such as digital era literacy, inventive thinking, effective communication, high productivity, and spiritual and noble values among Malaysian students.

iSTEM: Promoting Fifth Graders' Mathematical Modeling

Science.gov (United States)

Yanik, H. Bahadir; Karabas, Celil

2014-01-01

Modeling requires that people develop representations or procedures to address particular problem situations (Lesh et al. 2000). Mathematical modeling is used to describe essential characteristics of a phenomenon or a situation that one intends to study in the real world through building mathematical objects. This article describes how fifth-grade…

What Is Discrete Mathematics?

Science.gov (United States)

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…

STEM Leadership Qualification: Tomorrow's Leaders Today

Science.gov (United States)

Williams, Chris

2009-01-01

This article features the Science, Technology, Engineering and Mathematics (STEM) Leadership Qualification programme, developed by the Centre for Science Education (CSE) at Sheffield Hallam University in collaboration with Edexcel, which sets out to develop leadership skills and capabilities through contexts in STEM. With six units to complete…

Developing Middle School Students' Interests in STEM via Summer Learning Experiences: See Blue STEM Camp

Science.gov (United States)

Mohr-Schroeder, Margaret J.; Jackson, Christa; Miller, Maranda; Walcott, Bruce; Little, David L.; Speler, Lydia; Schooler, William; Schroeder, D. Craig

2014-01-01

It is a well-known fact that, in general, many students have a lack of interest and proficiency in mathematics and science. Therefore, it is imperative that we prepare and inspire all students, specifically students of underrepresented populations, to learn science, technology, engineering, and mathematics (STEM) content. Now in its fourth year,…

Mathematical modeling of biological processes

CERN Document Server

Friedman, Avner

2014-01-01

This book on mathematical modeling of biological processes includes a wide selection of biological topics that demonstrate the power of mathematics and computational codes in setting up biological processes with a rigorous and predictive framework. Topics include: enzyme dynamics, spread of disease, harvesting bacteria, competition among live species, neuronal oscillations, transport of neurofilaments in axon, cancer and cancer therapy, and granulomas. Complete with a description of the biological background and biological question that requires the use of mathematics, this book is developed for graduate students and advanced undergraduate students with only basic knowledge of ordinary differential equations and partial differential equations; background in biology is not required. Students will gain knowledge on how to program with MATLAB without previous programming experience and how to use codes in order to test biological hypothesis.

Mathematics for the Class of 2000. Pennsylvania Council of Teachers of Mathematics 1988 Yearbook.

Science.gov (United States)

Nicely, Robert F., Jr., Ed.; Sigmund, Thomas F., Ed.

One of the strengths of the Pennsylvania Council of Teachers of Mathematics (PCTM) is that it gives mathematicians and mathematics educators the opportunity to exchange and contribute to each other's professional growth. The topic for each yearbook is chosen to coincide with the annual PCTM meeting. This 1988 yearbook contains 27 articles which…

The Mathematics Curriculum: Issues and Perspectives. Pennsylvania Council of Teachers of Mathematics 1987 Yearbook.

Science.gov (United States)

Nicely, Robert F., Jr., Ed.; Sigmund, Thomas F., Ed.

One of the strengths of the Pennsylvania Council of Teachers of Mathematics (PCTM) is that it gives mathematicians and mathematics educators the opportunity to exchange and contribute to each other's professional growth. The topic for each yearbook is chosen to coincide with the annual PCTM meeting. This 1987 yearbook contains 14 articles which…

Discrete Mathematics in Deaf Education: A Survey of Teachers' Knowledge and Use

Science.gov (United States)

Pagliaro, C.; Kritzer, K. L.

2005-01-01

The study documents what deaf education teachers know about discrete mathematics topics and determines if these topics are present in the mathematics curriculum. Survey data were collected from 290 mathematics teachers at center and public school programs serving a minimum of 120 students with hearing loss, grades K-8 or K-12, in the United…

Symposium Promotes Technological Literacy through STEM

Science.gov (United States)

Havice, Bill; Marshall, Jerry

2009-01-01

This article describes a symposium which promotes technological literacy through science, technology, engineering, and mathematics (STEM). The three-day symposium titled, "The Anderson, Oconee, Pickens Symposium on Teaching and Learning STEM Standards for the 21st Century," was held August 4-6, 2008 at the Tri-County Technical College…

Psychosocial Factors Impacting STEM Career Selection

Science.gov (United States)

Lamb, Richard; Annetta, Leonard; Vallett, David; Firestone, Jonah; Schmitter-Edgecombe, Maureen; Walker, Heather; Deviller, Nicole; Hoston, Douglas

2018-01-01

Attention on P-20 science, technology, engineering, and mathematics (STEM) education has increased tremendously in recent years. Many efforts are underway to promote STEM major and career selection across the nation; specifically, in engineering and computer science. The authors' purpose was to examine an underlying profile combinations of latent…

Physical mathematics

CERN Document Server

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.

18th European Conference on Mathematics for Industry

CERN Document Server

Capasso, Vincenzo; Nicosia, Giuseppe; Romano, Vittorio

2016-01-01

This book presents a collection of papers emphasizing applications of mathematical models and methods to real-world problems of relevance for industry, life science, environment, finance, and so on. The biannual Conference of ECMI (the European Consortium of Mathematics in Industry) held in 2014 focused on various aspects of industrial and applied mathematics. The five main topics addressed at the conference were mathematical models in life science, material science and semiconductors, mathematical methods in the environment, design automation and industrial applications, and computational finance. Several other topics have been treated, such as, among others, optimization and inverse problems, education, numerical methods for stiff pdes, model reduction, imaging processing, multi physics simulation, mathematical models in textile industry. The conference, which brought together applied mathematicians and experts from industry, provided a unique opportunity to exchange ideas, problems and methodologies...

Who Chooses STEM Careers? Using A Relative Cognitive Strength and Interest Model to Predict Careers in Science, Technology, Engineering, and Mathematics.

Science.gov (United States)

Wang, Ming-Te; Ye, Feifei; Degol, Jessica Lauren

2017-08-01

Career aspirations in science, technology, engineering, and mathematics (STEM) are formulated in adolescence, making the high school years a critical time period for identifying the cognitive and motivational factors that increase the likelihood of future STEM employment. While past research has mainly focused on absolute cognitive ability levels in math and verbal domains, the current study tested whether relative cognitive strengths and interests in math, science, and verbal domains in high school were more accurate predictors of STEM career decisions. Data were drawn from a national longitudinal study in the United States (N = 1762; 48 % female; the first wave during ninth grade and the last wave at age 33). Results revealed that in the high-verbal/high-math/high-science ability group, individuals with higher science task values and lower orientation toward altruism were more likely to select STEM occupations. In the low-verbal/moderate-math/moderate-science ability group, individuals with higher math ability and higher math task values were more likely to select STEM occupations. The findings suggest that youth with asymmetrical cognitive ability profiles are more likely to select careers that utilize their cognitive strengths rather than their weaknesses, while symmetrical cognitive ability profiles may grant youth more flexibility in their options, allowing their interests and values to guide their career decisions.

AP® STEM Participation and Postsecondary STEM Outcomes: Focus on Underrepresented Minority, First-Generation, and Female Students

Science.gov (United States)

Smith, Kara; Jagesic, Sanja; Wyatt, Jeff; Ewing, Maureen

2018-01-01

Projections by the President's Council of Advisors on Science and Technology (2012) point to a need for approximately one million more Science Technology Engineering and Mathematics (STEM) professionals than the U.S. will be able to produce considering the current rate of STEM postsecondary degree completions (Executive Office of the President of…

Mathematical models and methods for planet Earth

CERN Document Server

Locatelli, Ugo; Ruggeri, Tommaso; Strickland, Elisabetta

2014-01-01

In 2013 several scientific activities have been devoted to mathematical researches for the study of planet Earth. The current volume presents a selection of the highly topical issues presented at the workshop “Mathematical Models and Methods for Planet Earth”, held in Roma (Italy), in May 2013. The fields of interest span from impacts of dangerous asteroids to the safeguard from space debris, from climatic changes to monitoring geological events, from the study of tumor growth to sociological problems. In all these fields the mathematical studies play a relevant role as a tool for the analysis of specific topics and as an ingredient of multidisciplinary problems. To investigate these problems we will see many different mathematical tools at work: just to mention some, stochastic processes, PDE, normal forms, chaos theory.

Student’s STEM Literacy in Biotechnology Learning at Junior High School

Science.gov (United States)

Nurlaely, N.; Permanasari, A.; Riandi, R.

2017-09-01

A considerable study to student’s STEM literacy achievement profile, especially in biotechnology learning, has been conducted to make the innovation of the STEM-based learning. The study aims to find out the STEM literacy. The sample is taken through purposive sampling technique to 45 students of 9th grade of a junior high school in Tasikmalaya district. The instruments are multiple choice questions. Data are analysed by calculating mean score of students’ STEM literacy achievement. The results show that student’s STEM literacy achievement was low. Science literacy aspect was the lowest, while mathematical literacy gained better than another aspect. The low achievement of students’ STEM literacy was because of learning activities that have not been able to integrate science, technology, engineering, and mathematics in science learning. The literacy profile indicates the importance of applying STEM approach to science learning, and it is recommended to improve students’ STEM literacy achievement.

Exploring Mathematics Teachers' Pedagogical Content Knowledge in the Context of Knowledge of Students

Science.gov (United States)

Aksu, Zeki; Kul, Ümit

2016-01-01

Functions are one of the basic topics taught in mathematics curriculum at Secondary school level requiring knowledge from the students' past, and uniting mathematical topics. Mathematics teachers have both their own learning experience of functions, as well as their own teaching experience, leading to the question of what level of student…

STEM Education.

Science.gov (United States)

Xie, Yu; Fang, Michael; Shauman, Kimberlee

2015-08-01

Improving science, technology, engineering, and mathematics (STEM) education, especially for traditionally disadvantaged groups, is widely recognized as pivotal to the U.S.'s long-term economic growth and security. In this article, we review and discuss current research on STEM education in the U.S., drawing on recent research in sociology and related fields. The reviewed literature shows that different social factors affect the two major components of STEM education attainment: (1) attainment of education in general, and (2) attainment of STEM education relative to non-STEM education conditional on educational attainment. Cognitive and social psychological characteristics matter for both major components, as do structural influences at the neighborhood, school, and broader cultural levels. However, while commonly used measures of socioeconomic status (SES) predict the attainment of general education, social psychological factors are more important influences on participation and achievement in STEM versus non-STEM education. Domestically, disparities by family SES, race, and gender persist in STEM education. Internationally, American students lag behind those in some countries with less economic resources. Explanations for group disparities within the U.S. and the mediocre international ranking of US student performance require more research, a task that is best accomplished through interdisciplinary approaches.

The Mathematics of Medical Imaging in the Classroom.

Science.gov (United States)

Funkhouser, Charles P.; Jafari, Farhad; Eubank, William B.

2002-01-01

Presents an integrated exposition of aspects of secondary school mathematics and a medical science specialty. Reviews clinical medical practice and theoretical and empirical literature in mathematics education and radiology to develop and pilot model integrative classroom topics and activities. Suggests mathematical applications in numeration and…

Pre-Service Science Teachers Views on STEM Materials and STEM Competition in Instructional Technologies and Material Development Course

Science.gov (United States)

Cetin, Ali; Balta, Nuri

2017-01-01

This qualitative study was designed to introduce STEM (Science, Technology, Engineering, Mathematics) activities to preservice science teachers and identify their views about STEM materials. In this context, a competition was organized with 42 preservice science teachers (13 male- 29 female) who took Instructional Technologies and Material…

Does Postsecondary Persistence in STEM Vary by Gender?

Directory of Open Access Journals (Sweden)

Barbara King

2016-09-01

Full Text Available The underrepresentation of women in science, technology, engineering, and mathematics (STEM is often explained by women’s greater likelihood to leave STEM at each key juncture from elementary school into the workforce. It is important to examine this more closely and look for points in the pipeline where gender equity exists. This study uses nationally representative data from a recent cohort of college students to investigate thoroughly gender differences in STEM persistence. Results indicate that no significant gender differences in persistence exist. This finding holds among those in computer science, engineering, mathematics, and physical science, and for those in life science. Additionally, the results are unchanged if the sample is limited to degree earners and are robust to the inclusion of individual and institutional variables. Although it is clear that women are less likely to choose certain STEM majors, those who do are no less likely to earn a STEM degree.

Promoting the Understanding of Mathematics in Physics at Secondary Level

Science.gov (United States)

Thompson, Alaric

2016-01-01

This article explores some of the common mathematical difficulties that 11- to 16-year-old students experience with respect to their learning of physics. The definition of "understanding" expressed in the article is in the sense of transferability of mathematical skills from topic to topic within physics as well as between the separate…

The Implementation of a One-Day Science, Technology, Engineering and Mathematics (STEM) Career Exploration Workshop for Middle School Girls in Elmira, New York

Science.gov (United States)

Turner, Carol-Witkowski CW

Even now, women are underrepresented in Science, Technology, Engineering, and Mathematics (STEM) careers. The literature shows that one significant approach to address this issue is to work with middle school girls, ages eleven to thirteen, to get them interested and excited about STEM career paths. In addition to appropriate in-school support a review of many different middle school programs indicates that such programs exist in certain service areas but are still missing in others, especially the rural areas. To address this situation, a one-day STEM workshop called "Full STEAHM Ahead!" was implemented spring 2012 in Elmira, New York, to address the career exploration "turning point" for rural middle school girls. The implementation involved pre-workshop, workshop, and post-workshop phases. The success and effectiveness of the workshop was demonstrated by survey comments and verbal feedback from both the girls and educators who attended.

Mathematical Representation of VoIP Connection Delay

Directory of Open Access Journals (Sweden)

M. Halas

2007-09-01

Full Text Available The main topic of this article is to define mathematical formulation of VoIP connection delay model. It handles about all partial delay components, the mechanism of their generation, facilities and their mathematical formulation. Thereafter based on mathematical formulation of all partial delay components, the final mathematical model of whole VoIP call delay is created. In conclusion of this article the results of the designed mathematical model are compared with the experimentally gained results.

STEM and Technology Education: International State-of-the-Art

Science.gov (United States)

Ritz, John M.; Fan, Szu-Chun

2015-01-01

This paper reports the perceptions of 20 international technology education scholars on their country's involvement in science, technology, engineering, and mathematics (STEM) education. Survey research was used to obtain data. It was found that the concept of STEM education is being discussed differently by nations. Some consider STEM education…

Why STEM?

Science.gov (United States)

Mitts, Charles R.

2016-01-01

The International Technology and Engineering Educators Association (ITEEA) defines STEM as a new transdisciplinary subject in schools that integrates the disciplines of science, technology, engineering, and mathematics into a single course of study. There are three major problems with this definition: There is no consensus in support of the ITEEA…

Universities Conducting STEM Outreach: A Conceptual Framework

Science.gov (United States)

Eilam, Efrat; Bigger, Stephen W.; Sadler, Kirsten; Barry, Fiachra; Bielik, Tom

2016-01-01

This paper addresses the positioning of science, technology, engineering and mathematics (STEM) outreach programmes within universities' operations. Though universities in many respects form a rather homogenous international community, there is wide diversity in regard to the provision of STEM outreach by different institutions. To explain this…

An Intersectional Analysis of Latin@ College Women's Counter-Stories in Mathematics

Science.gov (United States)

Leyva, Luis A.

2016-01-01

In this article, the author discusses the intersectionality of mathematics experiences for two Latin@ college women pursuing mathematics-intensive STEM (science, technology, engineering, and mathematics) majors at a large, predominantly White university. The author employs intersectionality and poststructural theories to explore and make meaning…

Continuum mechanics the birthplace of mathematical models

CERN Document Server

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

Learning from our global competitors: A comparative analysis of science, technology, engineering and mathematics (STEM) education pipelines in the United States, Mainland China and Taiwan

Science.gov (United States)

Chow, Christina M.

Maintaining a competitive edge within the 21st century is dependent on the cultivation of human capital, producing qualified and innovative employees capable of competing within the new global marketplace. Technological advancements in communications technology as well as large scale, infrastructure development has led to a leveled playing field where students in the U.S. will ultimately be competing for jobs with not only local, but also international, peers. Thus, the ability to understand and learn from our global competitors, starting with the examination of innovative education systems and best practice strategies, is tantamount to the economic development, and ultimate survival, of the U.S. as a whole. The purpose of this study was to investigate the current state of science, technology, engineering and mathematics (STEM) education and workforce pipelines in the U.S., China, and Taiwan. Two broad research questions examined STEM workforce production in terms of a) structural differences in primary and secondary school systems, including analysis of minimum high school graduation requirements and assessments as well as b) organizational differences in tertiary education and trends in STEM undergraduate and graduate degrees awarded in each region of interest. While each of the systems studied had their relative strengths and weaknesses, each of the Asian economies studied had valuable insights that can be categorized broadly in terms of STEM capacity, STEM interest and a greater understanding of global prospects that led to heightened STEM awareness. In China and Taiwan, STEM capacity was built via both traditional and vocational school systems. Focused and structured curriculum during the primary and early secondary school years built solid mathematics and science skills that translated into higher performance on international assessments and competitions. Differentiated secondary school options, including vocational high school and technical colleges and

Mathematical people profiles and interviews

CERN Document Server

Albers, Donald

2008-01-01

This unique collection contains extensive and in-depth interviews with mathematicians who have shaped the field of mathematics in the twentieth century. Collected by two mathematicians respected in the community for their skill in communicating mathematical topics to a broader audience, the book is also rich with photographs and includes an introduction by Philip J. Davis.

A Complex Formula: Girls and Women in Science, Technology, Engineering and Mathematics in Asia

Science.gov (United States)

Salmon, Aliénor

2015-01-01

What factors might be causing the low participation of women Science, Technology, Engineering and Mathematics (STEM) fields? What can be done to attract more girls and women into STEM in Asia and beyond? The report, "A Complex Formula. Girls and Women in Science, Technology, Engineering and Mathematics in Asia", answers three fundamental…

STEM learning research through a funds of knowledge lens

Science.gov (United States)

Civil, Marta

2016-03-01

This article examines STEM learning as a cultural process with a focus on non-dominant communities. Building on my work in funds of knowledge and mathematics education, I present three vignettes to raise some questions around connections between in-school and out-of-school mathematics. How do we define competence? How do task and environment affect engagement? What is the role of affect, language, and cognition in different settings? These vignettes serve to highlight the complexity of moving across different domains of STEM practice—everyday life, school, and STEM disciplines. Based on findings from occupational interviews I discuss characteristics of learning and engaging in everyday practices and propose several areas for further research, including the nature of everyday STEM practices, valorization of knowledge, language choice, and different forms of engagement.

Mathematics for the liberal arts

CERN Document Server

Bindner, Donald; Hemmeter, Joe

2014-01-01

Presents a clear bridge between mathematics and the liberal arts Mathematics for the Liberal Arts provides a comprehensible and precise introduction to modern mathematics intertwined with the history of mathematical discoveries. The book discusses mathematical ideas in the context of the unfolding story of human thought and highlights the application of mathematics in everyday life. Divided into two parts, Mathematics for the Liberal Arts first traces the history of mathematics from the ancient world to the Middle Ages, then moves on to the Renaissance and finishes with the development of modern mathematics. In the second part, the book explores major topics of calculus and number theory, including problem-solving techniques and real-world applications. This book emphasizes learning through doing, presents a practical approach, and features: A detailed explanation of why mathematical principles are true and how the mathematical processes workNumerous figures and diagrams as well as hundreds of worked example...

The Gender-Equality Paradox in Science, Technology, Engineering, and Mathematics Education.

OpenAIRE

Stoet, G; Geary, DC

2018-01-01

The underrepresentation of girls and women in science, technology, engineering, and mathematics (STEM) fields is a continual concern for social scientists and policymakers. Using an international database on adolescent achievement in science, mathematics, and reading ( N = 472,242), we showed that girls performed similarly to or better than boys in science in two of every three countries, and in nearly all countries, more girls appeared capable of college-level STEM study than had enrolled. P...

Functions in Contemporary Secondary Mathematics Textbook Series in the United States

Science.gov (United States)

Ross, Daniel J.

2011-01-01

Textbooks play a central role in US mathematics classrooms (Stein, Remillard, & Smith, 2007) and functions are a key topic in secondary mathematics (Carlson, Jacobs, Coe, Larsen, & Hsu, 2002). This study presents results from an analysis of this essential topic in the latest editions of three textbook series: the Glencoe Mathematics…

Identifying Avenues for Curriculum Development in Undergraduate Mathematics.

Science.gov (United States)

Frid, Sandra; And Others

The study reported in this paper represents the first stage of a five-year project aimed at improving the quality of teaching and learning in undergraduate mathematics courses for science and engineering students. Students were surveyed about their confidence in their mathematics background, their confidence with current mathematics topics, and…

ECMOR 4. 4th European conference on the mathematics of oil recovery. Topic D: Simulation of fluid flow. Proceedings

Energy Technology Data Exchange (ETDEWEB)

1994-01-01

The report with collected proceedings from a conference, deals with mathematics of oil recovery with the focus on simulation of fluid flow. Topics of proceedings are as follow: Validity of macroscopic viscous fingering models for 2D and 3D-flows; pressure equation for fluid flow in a stochastic medium; predicting multicomponent, multiphase flow in heterogeneous systems using streamtubes; analytic techniques in pressure transient testing; global triangular structure in four-component conservation laws; exact solution of the problem on hydrodynamic interaction between noncommunicating layers under conditions of their joint development; fluid rate in flowing granular medium with moving boundary; complex variable boundary element method for tracking streamlines across fractures; transport equations for miscible displacements in heterogeneous porous media - a streamtube approach; mathematical modelling of condensate film flow by gravity drainage; effect of capillary forces on immiscible two-phase flow in strongly heterogeneous porous media; multidomain direct method and local time steps in reservoir simulation; adaptive methods for chemical flooding; flux continuous for the full tensor equation; discretization on non-orthogonal, curvilinear grids for multi-phase flow; blending finite elements and finite volumes for the solution of miscible incompressible flow. 16 papers are prepared. 240 refs., 122 figs., 6 tabs.

ElectronixTutor: An Intelligent Tutoring System with Multiple Learning Resources for Electronics

Science.gov (United States)

Graesser, Arthur C.; Hu, Xiangen; Nye, Benjamin D.; VanLehn, Kurt; Kumar, Rohit; Heffernan, Cristina; Heffernan, Neil; Woolf, Beverly; Olney, Andrew M.; Rus, Vasile; Andrasik, Frank; Pavlik, Philip; Cai, Zhiqiang; Wetzel, Jon; Morgan, Brent; Hampton, Andrew J.; Lippert, Anne M.; Wang, Lijia; Cheng, Qinyu; Vinson, Joseph E.; Kelly, Craig N.; McGlown, Cadarrius; Majmudar, Charvi A.; Morshed, Bashir; Baer, Whitney

2018-01-01

Background: The Office of Naval Research (ONR) organized a STEM Challenge initiative to explore how intelligent tutoring systems (ITSs) can be developed in a reasonable amount of time to help students learn STEM topics. This competitive initiative sponsored four teams that separately developed systems that covered topics in mathematics,…

Canadian Mathematical Congress

CERN Document Server

1977-01-01

For two weeks in August, 1975 more than 140 mathematicians and other scientists gathered at the Universite de Sherbrooke. The occasion was the 15th Biennial Seminar of the Canadian Mathematical Congress, entitled Mathematics and the Life Sciences. Participants in this inter­ disciplinary gathering included researchers and graduate students in mathematics, seven different areas of biological science, physics, chemistry and medical science. Geographically, those present came from the United States and the United Kingdom as well as from academic departments and government agencies scattered across Canada. In choosing this particular interdisciplinary topic the programme committee had two chief objectives. These were to promote Canadian research in mathematical problems of the life sciences, and to encourage co-operation and exchanges between mathematical scientists" biologists and medical re­ searchers. To accomplish these objective the committee assembled a stim­ ulating programme of lectures and talks. Six ...

Mathematics

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

Mastering mathematics for Edexcel GCSE

CERN Document Server

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

The creation and validation of an instrument to measure school STEM Culture

Science.gov (United States)

White, Christopher

Although current research exists on school culture, there is a gap in the literature on specialized aspects of culture such as STEM Culture defined as the beliefs, values, practices, resources, and challenges in STEM fields (Science, Technology, Engineering and Mathematics) within a school. The objective of this study was to create a valid and reliable instrument, the STEM Culture Assessment Tool (STEM-CAT), that measures this cultural aspect based on a survey of stakeholder groups within the school community and use empirical data to support the use of this instrument to measure STEM Culture. Items were created and face validity was determined through a focus group and expert review before a pilot study was conducted to determine reliability of the items. Once items were determined reliable, the survey was given to eight high schools and results were correlated to the percentage of seniors who self-reported whether they intend to pursue STEM fields upon graduation. The results of this study indicate further need for research to determine how the STEM-CAT correlates to STEM culture due to some inconsistencies with the dependent variable in this study. Future research could be done correlating the results of the STEM-CAT with participation in Advanced Placement science and mathematics, SAT/ACT scores in science and mathematics or the number of students who actually pursue STEM fields rather than a prediction halfway through the 12th grade.

A First Course in Applied Mathematics

CERN Document Server

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

Topics in multivariate approximation and interpolation

CERN Document Server

Jetter, Kurt

2005-01-01

This book is a collection of eleven articles, written by leading experts and dealing with special topics in Multivariate Approximation and Interpolation. The material discussed here has far-reaching applications in many areas of Applied Mathematics, such as in Computer Aided Geometric Design, in Mathematical Modelling, in Signal and Image Processing and in Machine Learning, to mention a few. The book aims at giving a comprehensive information leading the reader from the fundamental notions and results of each field to the forefront of research. It is an ideal and up-to-date introduction for gr

Innovation and STEM Schools

Science.gov (United States)

Roberts, Julia Link

2015-01-01

How do schools with a focus on science, technology, engineering, and mathematics (STEM) fit in with state goals to increase innovation and to boost the economy? This article briefly discusses how educators can encourage creativity and innovation.

Investigating Gender Differences in Mathematics and Science: Results from the 2011 Trends in Mathematics and Science Survey

Science.gov (United States)

Reilly, David; Neumann, David L.; Andrews, Glenda

2017-06-01

The underrepresentation of women in science, technology, engineering, and mathematics (STEM)-related fields remains a concern for educators and the scientific community. Gender differences in mathematics and science achievement play a role, in conjunction with attitudes and self-efficacy beliefs. We report results from the 2011 Trends in Mathematics and Science Study (TIMSS), a large international assessment of eighth grade students' achievement, attitudes, and beliefs among 45 participating nations (N = 261,738). Small- to medium-sized gender differences were found for most individual nations (from d = -.60 to +.31 in mathematics achievement, and d = -.60 to +.26 for science achievement), although the direction varied and there were no global gender differences overall. Such a pattern cross-culturally is incompatible with the notion of immutable gender differences. Additionally, there were different patterns between OECD and non-OECD nations, with girls scoring higher than boys in mathematics and science achievement across non-OECD nations. An association was found between gender differences in science achievement and national levels of gender equality, providing support for the gender segregation hypothesis. Furthermore, the performance of boys was more variable than that of girls in most nations, consistent with the greater male variability hypothesis. Boys reported more favorable attitudes towards mathematics and science, and girls reported lower self-efficacy beliefs. While the gender gap in STEM achievement may be closing, there are still large sections of the world where differences remain.

Hidden Currents in the STEM Pipeline: Insights from the Dyschronous Life Episodes of a Minority Female STEM Teacher

Science.gov (United States)

Teo, Tang Wee

2014-01-01

In this article, I use the idea of "dyschrony" to describe the multiple disjunctures experienced in a Hispanic woman's life as she struggled to gain full membership in the STEM (science, technology, engineering, and mathematics) community. Despite having earned a doctoral degree in chemistry and a teaching position in a STEM school, she…

ECMOR 4. 4th European conference on the mathematics of oil recovery. Topic E: History match and recovery optimization. Proceedings

Energy Technology Data Exchange (ETDEWEB)

1994-01-01

The report with collected proceedings from a conference, deals with mathematics of oil recovery with the focus on history match and recovery optimization. Topics of proceedings are as follow: Calculating optimal parameters for history matching; new technique to improve the efficiency of history matching of full-field models; flow constrained reservoir characterization using Bayesian inversion; analysis of multi-well pressure transient data; new approach combining neural networks and simulated annealing for solving petroleum inverse problems; automatic history matching by use of response surfaces and experimental design; determining the optimum location of a production well in oil reservoirs. Seven papers are prepared. 108 refs., 45 figs., 12 tabs.

Empowering Effective STEM Role Models to Promote STEM Equity in Local Communities

Science.gov (United States)

Harte, T.; Taylor, J.

2017-12-01

Empowering Effective STEM Role Models, a three-hour training developed and successfully implemented by NASA Langley Research Center's Science Directorate, is an effort to encourage STEM professionals to serve as role models within their community. The training is designed to help participants reflect on their identity as a role model and provide research-based strategies to effectively engage youth, particularly girls, in STEM (science, technology, engineering, and mathematics). Research shows that even though girls and boys do not demonstrate a significant difference in their ability to be successful in mathematics and science, there is a significant difference in their confidence level when participating in STEM subject matter and pursuing STEM careers. The Langley training model prepares professionals to disrupt this pattern and take on the habits and skills of effective role models. The training model is based on other successful models and resources for role modeling in STEM including SciGirls; the National Girls Collaborative; and publications by the American Association of University Women and the National Academies. It includes a significant reflection component, and participants walk through situation-based scenarios to practice a focused suite of research-based strategies. These strategies can be implemented in a variety of situations and adapted to the needs of groups that are underrepresented in STEM fields. Underpinning the training and the discussions is the fostering of a growth mindset and promoting perseverance. "The Power of Yet" becomes a means whereby role models encourage students to believe in themselves, working toward reaching their goals and dreams in the area of STEM. To provide additional support, NASA Langley role model trainers are available to work with a champion at other organizations to facilitate the training. This champion helps recruit participants, seeks leadership buy-in, and helps provide valuable insights for needs and

Financial Barriers to STEM Study in College: Causal Effect Estimates of Need-Based Grants on the Pursuit and Completion of Courses and Degrees in STEM Fields

Science.gov (United States)

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…

STEM Education in Canada: A Knowledge Synthesis

Science.gov (United States)

DeCoito, Isha

2016-01-01

Across Canada many initiatives have been initiated to generate more interest in science, technology, engineering, and mathematics (STEM) education; however, no single or comprehensive overview has been conducted that takes into account the impact of these STEM initiatives on teaching/learning outcomes in K-12 education. This knowledge synthesis of…

9th Annual UNCG Regional Mathematics and Statistics Conference

CERN Document Server

Chhetri, Maya; Gupta, Sat; Shivaji, Ratnasingham

2015-01-01

This volume contains rigorously reviewed papers on the topics presented by students at The 9th Annual University of North Carolina at Greensboro Regional Mathematics and Statistics Conference (UNCG RMSC) that took place on November 2, 2013.  All papers are coauthored by student researchers and their faculty mentors. This conference series was inaugurated in 2005, and it now attracts over 150 participants from over 30 universities from North Carolina and surrounding states. The conference is specifically tailored for students to present their research projects that encompass a broad spectrum of topics in mathematics, mathematical biology, statistics, and computer science.

Online Mentoring as an Extracurricular Measure to Encourage Talented Girls in STEM (Science, Technology, Engineering, and Mathematics): An Empirical Study of One-on-One versus Group Mentoring

Science.gov (United States)

Stoeger, Heidrun; Hopp, Manuel; Ziegler, Albert

2017-01-01

Online mentoring provides an effective means of extracurricular gifted education for talented girls in science, technology, engineering, and mathematics (STEM). Comparative studies on the effectiveness of one-on-one versus group mentoring are lacking, however. The authors investigated this question in the context of a Germany-wide online mentoring…

Enhancing Mathematics Communication using Critical Aspects and Dimensions of Variation

Science.gov (United States)

Olteanu, Constanta; Olteanu, Lucian

2013-01-01

This article deals with two prominent topics in the field of mathematics education: the communication in mathematics and its teaching and learning and the continuous professional development of mathematics teachers. In this article, a framework is proposed for analysing the effectiveness of communication in mathematics classrooms. The presentation…

The Functions of Function Discourse--University Mathematics Teaching from a Commognitive Standpoint

Science.gov (United States)

Viirman, Olov

2014-01-01

This paper addresses a topic within university mathematics education which has been somewhat underexplored: the teaching practices actually used by university mathematics teachers when giving lectures. The study investigates the teaching practices of seven Swedish university teachers on the topic of functions using a discursive approach, the…

Effective Practices for Evaluating STEM Out-of-School Time Programs

Science.gov (United States)

Wilkerson, Stephanie B.; Haden, Carol M.

2014-01-01

Science, technology, engineering, and mathematics (STEM) programs in out-of-school time (OST) are designed to supplement school work, ignite student interest, and extend STEM learning. From interactive museum exhibits to summer-long science camps, opportunities for informal student engagement in STEM learning abound. The differences these programs…

Cognitive and Motivational Factors that Inspire Hispanic Female Students to Pursue STEM-Related Academic Programs that Lead to Careers in Science, Technology, Engineering, and Mathematics

Science.gov (United States)

Morel-Baker, Sonaliz

Hispanics, and women in particular, continue to be underrepresented in the fields of science, technology, engineering, and mathematics (STEM). The purpose of this study was to analyze cognitive and motivational factors that inspired Hispanic female college students to major in STEM programs and aspire to academic success. This mixed methods study was conducted using both quantitative and qualitative data collection and analysis techniques in a sequential phase. Quantitative data were collected through the use of the 80-item Honey and Mumford Learning Styles Questionnaire, which was focused on the students' learning styles and how they impact Hispanic female students upon engaging in a STEM-related curriculum. Qualitative data were collected during interviews focusing on factors that led students to select, participate in, and make a commitment to some aspect of a STEM-related program. The questions that were asked during the interviews were intended to examine whether the existence of role models and STEM initiatives motivate Hispanic female students to major in STEM-related academic programs and aspire to academic success. The participants in this study were undergraduate Hispanic female students majoring in STEM-related academic programs and at a four-year university. The results indicate that the majority of the participants (88%) identified as reflectors, 4% as activists, 4% as theorists, and 4% as pragmatists. The results from the interviews suggested that the existence of role models (family members, educators, or STEM professionals) was a factor that motivated Hispanic females to major in STEM-related subjects and that exposure to STEM initiatives during K-12 education motivated Hispanic females to pursue a career in STEM.

Mathematical physiology

CERN Document Server

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. ...

Mathematical and statistical applications in life sciences and engineering

CERN Document Server

Adhikari, Mahima; Chaubey, Yogendra

2017-01-01

The book includes articles from eminent international scientists discussing a wide spectrum of topics of current importance in mathematics and statistics and their applications. It presents state-of-the-art material along with a clear and detailed review of the relevant topics and issues concerned. The topics discussed include message transmission, colouring problem, control of stochastic structures and information dynamics, image denoising, life testing and reliability, survival and frailty models, analysis of drought periods, prediction of genomic profiles, competing risks, environmental applications and chronic disease control. It is a valuable resource for researchers and practitioners in the relevant areas of mathematics and statistics.

Integrated STEM in secondary education: A case study

International Nuclear Information System (INIS)

De Meester, Jolien; Dehaene, Wim; Knipprath, Heidi; Thielemans, Jan; De Cock, Mieke; Langie, Greet

2015-01-01

Despite many opportunities to study STEM (Science, Technology, Engineering and Mathematics) in Flemish secondary education, only a minority of pupils are actually pursuing STEM fields in higher education and jobs. One reason could be that they do not see the relevance of science and mathematics. In order to draw their pupils’ interest in STEM, a Belgian school started a brand new initiative: the school set up and implemented a first year course that integrates various STEM disciplines, hoping to provide an answer to the question pupils often ask themselves about the need to study math and science. The integrated curriculum was developed by the school’s teachers and a STEM education research group of the University of Leuven. To examine the pupils’ attitude towards STEM and STEM professions and their notion of relevance of STEM at the end of this one-year course, a post-test was administered to the group of pupils who attended the integrated STEM course (the experimental group) and to a group of pupils that took traditional, non-integrated STEM courses (the control group). The results reveal that attending the integrated STEM course is significantly related to pupils’ interest in STEM and notion of relevance of STEM. Another post-test was administered only to the experimental group to investigate pupils’ understanding of math and physics concepts and their relation when taught in an integrated way. The results reveal that the pupils have some conceptual understanding and can, to a certain extent, make a transfer of concepts across different STEM disciplines. However, the test results did point out that some additional introductory training in pure math context is needed.

Understanding engineering mathematics

CERN Document Server

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...

Adolescent Girls’ STEM Identity Formation and Media Images of STEM Professionals: Considering the Influence of Contextual Cues

Science.gov (United States)

Steinke, Jocelyn

2017-01-01

Popular media have played a crucial role in the construction, representation, reproduction, and transmission of stereotypes of science, technology, engineering, and mathematics (STEM) professionals, yet little is known about how these stereotypes influence STEM identity formation. Media images of STEM professionals may be important sources of information about STEM and may be particularly salient and relevant for girls during adolescence as they actively consider future personal and professional identities. This article describes gender-stereotyped media images of STEM professionals and examines theories to identify variables that explain the potential influence of these images on STEM identity formation. Understanding these variables is important for expanding current conceptual frameworks of science/STEM identity to better determine how and when cues in the broader sociocultural context may affect adolescent girls’ STEM identity. This article emphasizes the importance of focusing on STEM identity relevant variables and STEM identity status to explain individual differences in STEM identity formation. PMID:28603505

Adolescent Girls' STEM Identity Formation and Media Images of STEM Professionals: Considering the Influence of Contextual Cues.

Science.gov (United States)

Steinke, Jocelyn

2017-01-01

Popular media have played a crucial role in the construction, representation, reproduction, and transmission of stereotypes of science, technology, engineering, and mathematics (STEM) professionals, yet little is known about how these stereotypes influence STEM identity formation. Media images of STEM professionals may be important sources of information about STEM and may be particularly salient and relevant for girls during adolescence as they actively consider future personal and professional identities. This article describes gender-stereotyped media images of STEM professionals and examines theories to identify variables that explain the potential influence of these images on STEM identity formation. Understanding these variables is important for expanding current conceptual frameworks of science/STEM identity to better determine how and when cues in the broader sociocultural context may affect adolescent girls' STEM identity. This article emphasizes the importance of focusing on STEM identity relevant variables and STEM identity status to explain individual differences in STEM identity formation.

A Note on Discrete Mathematics and Calculus.

Science.gov (United States)

O'Reilly, Thomas J.

1987-01-01

Much of the current literature on the topic of discrete mathematics and calculus during the first two years of an undergraduate mathematics curriculum is cited. A relationship between the recursive integration formulas and recursively defined polynomials is described. A Pascal program is included. (Author/RH)

Ancient Indian Leaps into Mathematics

CERN Document Server

Yadav, B S

2011-01-01

This book presents contributions of mathematicians covering topics from ancient India, placing them in the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are available in the literature, Indian contributions are rarely presented in major Western historical works. Yet some of the well-known and universally-accepted discoveries from India, including the concept of zero and the decimal representation of numbers, have made lasting contributions to the foundation of modern mathematics. Through a systematic approach, this book examines th

Exploring an Integrative Lens of Identity for a High School Mathematics Teacher

Science.gov (United States)

Wilson, Kimi

2016-01-01

Driven largely by societal discourse regarding the underrepresentation of African American males pursuing science, technology, engineering and mathematics (STEM) majors, careers and professions, it becomes salient to understand how African American males experience mathematics in K-12 public schools in relation to their mathematics identity…

Mathematics for physicists

CERN Document Server

Dennery, Philippe

1967-01-01

""A fine example of how to present 'classical' physical mathematics."" - American ScientistWritten for advanced undergraduate and graduate students, this volume provides a thorough background in the mathematics needed to understand today's more advanced topics in physics and engineering. Without sacrificing rigor, the authors develop the theoretical material at length, in a highly readable, and, wherever possible, in an intuitive manner. Each abstract idea is accompanied by a very simple, concrete example, showing the student that the abstraction is merely a generalization from easily understo

Development of Analytical Thinking Ability and Attitudes towards Science Learning of Grade-11 Students through Science Technology Engineering and Mathematics (STEM Education) in the Study of Stoichiometry

Science.gov (United States)

Chonkaew, Patcharee; Sukhummek, Boonnak; Faikhamta, Chatree

2016-01-01

The purpose of this study was to investigate the analytical thinking abilities and attitudes towards science learning of grade-11 students through science, technology, engineering, and mathematics (STEM) education integrated with a problem-based learning in the study of stoichiometry. The research tools consisted of a pre- and post-analytical…

Learning mathematics in two dimensions: a review and look ahead at teaching and learning early childhood mathematics with children's literature.

Science.gov (United States)

Flevares, Lucia M; Schiff, Jamie R

2014-01-01

In the past 25 years an identifiable interest in using children's literature in mathematics learning emerged (Clyne and Griffiths, 1991; Welchman-Tischler, 1992; Hong, 1996; Hellwig etal., 2000; Haury, 2001). We critically review the rationales given for the use of picture books in mathematics learning, with a special focus on geometry due to its underrepresentation in this body of literature and the need for greater focus on this topic. The benefits and effectiveness of using picture books for children's mathematics learning and interest have been documented (Hong, 1996; O'Neill etal., 2004; Young-Loveridge, 2004). For geometry, although much learning of shape ideas should be hands-on, two-dimensional figures are essential to develop children's understanding of plane geometry. Books may effectively engage pre-literate children with plane shapes (van den Heuvel-Panhuizen and van den Boogaard, 2008; Skoumpourdi and Mpakopoulou, 2011) and shapes as gestalt wholes or prototypes (van Hiele, 1986; Clements etal., 1999; Hannibal, 1999). We review several guidelines and evaluative criteria for book selection, including Cianciolo (2000), Schiro (1997), Hunsader (2004), and van den Heuvel-Panhuizen and Elia (2012). Geometry concepts have proven challenging for young students, but their difficulties may stem, in part, from inadequate teacher training and professional development (Clements and Sarama, 2000; Chard etal., 2008) which lead to misconceptions (Oberdorf and Taylor-Cox, 1999; Inan and Dogan-Temur, 2010). Using picture books in teacher training may be an inviting way for early childhood teachers to enhance their own knowledge. We will examine the literature for guidance on incorporating children's literature into teacher training. In closing we will outline a comprehensive, multi-pronged agenda for best instructional practices for selection and use of children's books in mathematics activities and for teacher training.

Identifying STEM Concepts Associated with Junior Livestock Projects

Science.gov (United States)

Wooten, Kate; Rayfield, John; Moore, Lori L.

2013-01-01

Science, technology, engineering, and mathematics (STEM) education is intended to provide students with a cross-subject, contextual learning experience. To more fully prepare our nation's students to enter the globally competitive workforce, STEM integration allows students to make connections between the abstract concepts learned in core subject…

Critical Mathematics education: Past, present and future

DEFF Research Database (Denmark)

contribution to the shaping of those concerns in the international community of mathematics educators and mathematics education researchers. This book gathers contributions of researchers from five continents, for whom critical mathematics education has been an inspiration to think about many different topics...... such as the dialogical and political dimensions of teacher education, mathematical modeling, the philosophy of mathematics from social and political perspectives, teaching practices in classrooms, the connection between mathematics and society, the scope and limits of critical thinking in relation to mathematics......Critical mathematics education brings together a series of concerns related to mathematics and its role in society, the practices of teaching and learning of mathematics in educational settings, and the practices of researching mathematics education. The work of Ole Skovsmose has provided a seminal...

Designing Programs that Foster Sustained Interest in STEM

Science.gov (United States)

Cuff, K. E.; Diaz, J. L.; Marks-Block, T. A.

2008-12-01

Current and possible future shortages of science, technology, engineering and mathematics (STEM) professionals in the US are again becoming hot topics of discussion amongst policy makers and educators alike. In an innovative approach to addressing these concerns, Tai et al. (2006) analyzed a large set of longitudinal study data to gain a deeper understanding of the impact of early STEM experiences on career choices. The results of their work indicate a statistically significant relationship between early expressed interest in STEM and inclination to enter STEM-related career paths. While this relationship is one that has resided at the core of most STEM educators' work for many years, the quantitative evidence provided by Tai et al. underscores the need to pay closer attention to students' STEM interest levels, particularly during periods when such interest is in jeopardy of becoming eroded. Recent work at UC Berkeley's Lawrence Hall of Science related to the development of STEM education models tailored to specifically meet the needs of students in disadvantaged Bay Area communities has resulted in the creation of the East Bay Academy for Young Scientists (EBAYS). EBAYS has been designed to stimulate and sustain interest in STEM by engaging participants in a combination of community-based environmental science research and hands-on content learning activities presented in after school and summer program settings. Given that its programming occurs in an environment where time and academic content constraints are not critical factors, EBAYS is able to provide opportunities for participants to experience STEM in a highly interactive, in-depth manner that differs significantly from the more depersonalized approaches commonly associated with more traditional educational settings. Founded on the research-based premise that when young people are engaged in learning activities that they perceive as relevant, they are more likely to take more initiative, remain attentive

Assessing Mathematical Competencies: An Analysis of Swedish National Mathematics Tests

Science.gov (United States)

Boesen, Jesper; Lithner, Johan; Palm, Torulf

2018-01-01

Internationally, education reform has been directed towards describing educational goals that go beyond topic and content descriptions. The idea of mathematical competencies describes such goals. National tests have been seen as one way of communicating these goals and influence teaching. The present study analyses Swedish national tests in…

The Gender-Equality Paradox in Science, Technology, Engineering, and Mathematics Education.

Science.gov (United States)

Stoet, Gijsbert; Geary, David C

2018-04-01

The underrepresentation of girls and women in science, technology, engineering, and mathematics (STEM) fields is a continual concern for social scientists and policymakers. Using an international database on adolescent achievement in science, mathematics, and reading ( N = 472,242), we showed that girls performed similarly to or better than boys in science in two of every three countries, and in nearly all countries, more girls appeared capable of college-level STEM study than had enrolled. Paradoxically, the sex differences in the magnitude of relative academic strengths and pursuit of STEM degrees rose with increases in national gender equality. The gap between boys' science achievement and girls' reading achievement relative to their mean academic performance was near universal. These sex differences in academic strengths and attitudes toward science correlated with the STEM graduation gap. A mediation analysis suggested that life-quality pressures in less gender-equal countries promote girls' and women's engagement with STEM subjects.

Assessing the Impact of a Statewide STEM Investment on K-12, Higher Education, and Business/Community STEM Awareness over Time

Science.gov (United States)

Sondergeld, Toni A.; Johnson, Carla C.; Walten, Janet B.

2016-01-01

Despite monetary and educational investments in science, technology, engineering, and mathematics (STEM) being at record high levels, little attention has been devoted to generating a common understanding of STEM. In addition, working with business, K-12 schools, and/or institutions of higher education to establish a grassroots effort to help…

Course-Taking Patterns of Community College Students Beginning in STEM: Using Data Mining Techniques to Reveal Viable STEM Transfer Pathways

Science.gov (United States)

Wang, Xueli

2016-01-01

This research focuses on course-taking patterns of beginning community college students enrolled in one or more non-remedial science, technology, engineering, and mathematics (STEM) courses during their first year of college, and how these patterns are mapped against upward transfer in STEM fields of study. Drawing upon postsecondary transcript…

Improving Calculus II and III through the Redistribution of Topics

Science.gov (United States)

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

2016-01-01

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

A course of higher mathematics

CERN Document Server

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

Preparing the Future STEM Workforce for Diverse Environments

Science.gov (United States)

Daily, Shaundra Bryant; Eugene, Wanda

2013-01-01

Following the belief that diversity breeds innovation in scientific endeavors, there is a national push for more diversity in the science, technology, engineering, and mathematics (STEM) workforce in order to maintain national economic competitiveness. Currently, STEM-related employment is only 28% non-White; however, greater efforts to recruit…

What's So Special about STEM? A Comparison of Women's Retention in STEM and Professional Occupations.

Science.gov (United States)

Glass, Jennifer L; Sassler, Sharon; Levitte, Yael; Michelmore, Katherine M

2013-01-01

We follow female college graduates in the National Longitudinal Survey of Youth 1979 and compare the trajectories of women in science, technology, engineering, and mathematics (STEM)-related occupations to other professional occupations. Results show that women in STEM occupations are significantly more likely to leave their occupational field than professional women, especially early in their career, while few women in either group leave jobs to exit the labor force. Family factors cannot account for the differential loss of STEM workers compared to other professional workers. Few differences in job characteristics emerge either, so these cannot account for the disproportionate loss of STEM workers. What does emerge is that investments and job rewards that generally stimulate field commitment, such as advanced training and high job satisfaction, fail to build commitment among women in STEM.

[Perinatal sources of stem cells].

Science.gov (United States)

Piskorska-Jasiulewicz, Magdalena Maria; Witkowska-Zimny, Małgorzata

2015-03-08

Recently, stem cell biology has become an interesting topic. Several varieties of human stem cells have been isolated and identified in vivo and in vitro. Successful application of hematopoietic stem cells in hematology has led to the search for other sources of stem cells and expanding the scale of their application. Perinatal stem cells are a versatile cell population, and they are interesting for both scientific and practical objectives. Stem cells from perinatal tissue may be particularly useful in the clinic for autologous transplantation for fetuses and newborns, and after banking in later stages of life, as well as for in utero transplantation in the case of genetic disorders. In this review paper we focus on the extraction and therapeutic potential of stem cells derived from perinatal tissues such as the placenta, the amnion, amniotic fluid, umbilical cord blood and Wharton's jelly.

The Experience of Security in Mathematics

Science.gov (United States)

Charalampous, Eleni; Rowland, Tim

2013-01-01

In this paper, we report some findings from an investigation of a topic related to affect and mathematics which is not well-represented in the literature. For some mathematicians, mathematics itself is a source of security in an uncertain world, and we investigated this feeling and experience in the case of 19 adult mathematicians working in…

The efficacy of topical human amniotic membrane-mesenchymal stem cell-conditioned medium (hAMMSC-CM) and a mixture of topical hAMMSC-CM + vitamin C and hAMMSC-CM + vitamin E on chronic plantar ulcers in leprosy:a randomized control trial.

Science.gov (United States)

Prakoeswa, C R S; Natallya, F R; Harnindya, D; Thohiroh, A; Oktaviyanti, R N; Pratiwi, K D; Rubianti, M A; Yogatri, B; Primasari, P I; Herwanto, N; Alinda, M D; Kusumaputra, B H; Astari, L; Listiawan, M Y; Agusni, I; Rantam, F A

2018-05-10

Healing of chronic plantar ulcers in leprosy (CPUL) typically takes a long time due to impaired neurological function, thereby reducing the levels of growth factors and cytokines. Cytokines can be found in metabolite products from amniotic membrane stem cells. Chronic ulcers are frequently characterized by high levels of reactive oxygen species. Vitamin E (α-tocopherol) is widely used in skin lesions, owing to its antioxidant and anti-inflammatory properties. Vitamin C also has antioxidant, anti-inflammatory, and collagen synthesis properties which are useful in wound healing. Herein, we compared the effects of topical human amniotic membrane-mesenchymal stem cell-conditioned medium (hAMMSC-CM) alone and with vitamins C and E on healing of CPUL. In this randomized controlled trial, topical agents were applied every 3 days for up to 8 weeks. Ulcer size, side-effects, and possible complications were monitored weekly. Healing percentage increased each week in all groups. Mean difference in ulcer size was highest in the hAMMSC-CM + vitamin E group, implying better progress of wound healing. There were no side-effects or complications. hAMMSC-CM + vitamin E is best for healing of CPUL.

Mathematics in a Pumpkin Patch.

Science.gov (United States)

Taffe, William J.

1978-01-01

Estimating the weight of large pumpkins before harvest presents an opportunity for applying several diverse mathematical topics. A model that allows an estimation by easy tape measurement is derived. (MP)

Young Children's Mathematics References during Free Play in Family Childcare Settings

Science.gov (United States)

Hendershot, Shawnee M.; Berghout Austin, Ann M.; Blevins-Knabe, Belinda; Ota, Carrie

2016-01-01

Very little is known about children's discussion of mathematics topics during unstructured play. Ginsburg, Lin, Ness, and Seo [2003. Young American and Chinese children's everyday mathematical activity. Mathematical Thinking and Learning, 5(4), 235-258. Retrieved from…

Extinction models for cancer stem cell therapy

Science.gov (United States)

Sehl, Mary; Zhou, Hua; Sinsheimer, Janet S.; Lange, Kenneth L.

2012-01-01

Cells with stem cell-like properties are now viewed as initiating and sustaining many cancers. This suggests that cancer can be cured by driving these cancer stem cells to extinction. The problem with this strategy is that ordinary stem cells are apt to be killed in the process. This paper sets bounds on the killing differential (difference between death rates of cancer stem cells and normal stem cells) that must exist for the survival of an adequate number of normal stem cells. Our main tools are birth–death Markov chains in continuous time. In this framework, we investigate the extinction times of cancer stem cells and normal stem cells. Application of extreme value theory from mathematical statistics yields an accurate asymptotic distribution and corresponding moments for both extinction times. We compare these distributions for the two cell populations as a function of the killing rates. Perhaps a more telling comparison involves the number of normal stem cells NH at the extinction time of the cancer stem cells. Conditioning on the asymptotic time to extinction of the cancer stem cells allows us to calculate the asymptotic mean and variance of NH. The full distribution of NH can be retrieved by the finite Fourier transform and, in some parameter regimes, by an eigenfunction expansion. Finally, we discuss the impact of quiescence (the resting state) on stem cell dynamics. Quiescence can act as a sanctuary for cancer stem cells and imperils the proposed therapy. We approach the complication of quiescence via multitype branching process models and stochastic simulation. Improvements to the τ-leaping method of stochastic simulation make it a versatile tool in this context. We conclude that the proposed therapy must target quiescent cancer stem cells as well as actively dividing cancer stem cells. The current cancer models demonstrate the virtue of attacking the same quantitative questions from a variety of modeling, mathematical, and computational perspectives

Discrete mathematics using a computer

CERN Document Server

Hall, Cordelia

2000-01-01

Several areas of mathematics find application throughout computer science, and all students of computer science need a practical working understanding of them. These core subjects are centred on logic, sets, recursion, induction, relations and functions. The material is often called discrete mathematics, to distinguish it from the traditional topics of continuous mathematics such as integration and differential equations. The central theme of this book is the connection between computing and discrete mathematics. This connection is useful in both directions: • Mathematics is used in many branches of computer science, in applica­ tions including program specification, datastructures,design and analysis of algorithms, database systems, hardware design, reasoning about the correctness of implementations, and much more; • Computers can help to make the mathematics easier to learn and use, by making mathematical terms executable, making abstract concepts more concrete, and through the use of software tools su...

Pathways in STEM: Factors affecting the retention and attrition of talented men and women from the STEM pipeline

Science.gov (United States)

Heilbronner, Nancy N.

Many men and women who are talented in science, technology, engineering, and/or mathematics (STEM) choose not to pursue undergraduate majors or careers in these fields. To develop talents in STEM, educators must understand the factors that contribute to an individual's retention in STEM domains, as well as the factors that act as barriers to success, such as the role that gender plays in the underrepresentation of women in certain STEM fields (e.g., computer science and engineering) and changes in recent decades in the process of selecting STEM majors and careers. The purpose of this study was to explore the influences that guide decisions related to the selection of majors and occupations during high school, post-secondary education, and early careers. Survey methodology was used to explore the perceptions of 360 Science Talent Search (STS) semifinalists and finalists during the years 1987-1989 and 1997-1999, and quantitative procedures were used to analyze the data. A majority (74.2%) of STS participants majored in a STEM field in college, and most (68.6%) currently work in a STEM field. A greater percentage of men selected computer science, engineering, physics, and mathematics majors, and a greater percentage of women selected biological science and chemistry. Belief in one's ability to achieve in STEM was a predictor of STEM majors in college and STEM concentrations in graduate school, but differences were found between men's and women's self-efficacy in STEM during high school and in college, as women had lower self-efficacy. Sex was a predictor of STEM majors in college, but perceived quality of academic courses was not. STEM majors also reported more satisfaction with their STEM courses in high school and college than non-STEM majors. In a departure from the results of previous research, the reasons that men and women selected occupations were similar, as were the reasons they chose to leave or not to enter STEM. The most frequently cited reason for

After-school enrichment and the activity theory: How can a management service organization assist schools with reducing the achievement gap among minority and non-minority students in science, technology, engineering, and mathematics (STEM) during the after-school hours?

Science.gov (United States)

Flowers, Reagan D.

The primary purpose of this study was to investigate how a management service organization can assist schools with reducing the achievement gap between minority and non-minority students in science, technology, engineering, and mathematics (STEM) during the after-school hours. Developing a strategic plan through creating a program that provides support services for the implementation of hands-on activities in STEM for children during the after-school hours was central to this purpose. This Project Demonstrating Excellence (PDE), a social action project, also presents historical and current after-school program developments in the nation. The study is quantitative and qualitative in nature. Surveys were utilized to quantitatively capture the opinions of participants in the social action project on three specific education related issues: (1) disparity in academic motivation of students to participate in after-school STEM enrichment programs; (2) whether teachers and school administrators saw a need for STEM after-school enrichment; and (3) developing STEM after-school programs that were centered on problem-solving and higher-order thinking skills to develop students' interest in STEM careers. The sample consisted of 50 participants comprised of students, teachers, and administrators. The focus groups and interviews provided the qualitative data for the study. The qualitative sample consisted of 14 participants comprised of students, parents and teachers, administrators, an education consultant, and a corporate sponsor. The empirical data obtained from the study survey, focus groups, and interviews provided a comprehensive profile on the current views and future expectations of STEM after-school enrichment, student and school needs, and community partnerships with STEM companies. Results of the study and review of the implementation of the social action project, C-STEM (communication, science, technology, engineering, and mathematics) Teacher and Student Support

Preparation Matters Most in STEM. Issue Brief

Science.gov (United States)

Hayes, Shannon

2017-01-01

Serious attention has been directed in recent years towards the need for increasing the number of high school graduates in the United States who are prepared for postsecondary education, training and careers in the fields of science, technology, engineering, and mathematics (STEM). The number of jobs in U.S. STEM occupations grew by 10.5 percent…

Grounded understanding of abstract concepts: The case of STEM learning.

Science.gov (United States)

Hayes, Justin C; Kraemer, David J M

2017-01-01

Characterizing the neural implementation of abstract conceptual representations has long been a contentious topic in cognitive science. At the heart of the debate is whether the "sensorimotor" machinery of the brain plays a central role in representing concepts, or whether the involvement of these perceptual and motor regions is merely peripheral or epiphenomenal. The domain of science, technology, engineering, and mathematics (STEM) learning provides an important proving ground for sensorimotor (or grounded) theories of cognition, as concepts in science and engineering courses are often taught through laboratory-based and other hands-on methodologies. In this review of the literature, we examine evidence suggesting that sensorimotor processes strengthen learning associated with the abstract concepts central to STEM pedagogy. After considering how contemporary theories have defined abstraction in the context of semantic knowledge, we propose our own explanation for how body-centered information, as computed in sensorimotor brain regions and visuomotor association cortex, can form a useful foundation upon which to build an understanding of abstract scientific concepts, such as mechanical force. Drawing from theories in cognitive neuroscience, we then explore models elucidating the neural mechanisms involved in grounding intangible concepts, including Hebbian learning, predictive coding, and neuronal recycling. Empirical data on STEM learning through hands-on instruction are considered in light of these neural models. We conclude the review by proposing three distinct ways in which the field of cognitive neuroscience can contribute to STEM learning by bolstering our understanding of how the brain instantiates abstract concepts in an embodied fashion.

Analysis of a STEM Education Professional Development Conference for Pre-Service Educators

Science.gov (United States)

Hardrict-Ewing, Gloria

2017-01-01

Science, technology, engineering, and mathematics (STEM) disciplines are attracting increased attention in education. The iSTEM 2017 conference was a professional development program designed to acquaint pre-service teachers with interdisciplinary, research-based STEM instructional strategies that can transform traditional classroom instruction…

Learning mathematics in two dimensions: a review and look ahead at teaching and learning early childhood mathematics with children’s literature

Science.gov (United States)

Flevares, Lucia M.; Schiff, Jamie R.

2014-01-01

In the past 25 years an identifiable interest in using children’s literature in mathematics learning emerged (Clyne and Griffiths, 1991; Welchman-Tischler, 1992; Hong, 1996; Hellwig etal., 2000; Haury, 2001). We critically review the rationales given for the use of picture books in mathematics learning, with a special focus on geometry due to its underrepresentation in this body of literature and the need for greater focus on this topic. The benefits and effectiveness of using picture books for children’s mathematics learning and interest have been documented (Hong, 1996; O’Neill etal., 2004; Young-Loveridge, 2004). For geometry, although much learning of shape ideas should be hands-on, two-dimensional figures are essential to develop children’s understanding of plane geometry. Books may effectively engage pre-literate children with plane shapes (van den Heuvel-Panhuizen and van den Boogaard, 2008; Skoumpourdi and Mpakopoulou, 2011) and shapes as gestalt wholes or prototypes (van Hiele, 1986; Clements etal., 1999; Hannibal, 1999). We review several guidelines and evaluative criteria for book selection, including Cianciolo (2000), Schiro (1997), Hunsader (2004), and van den Heuvel-Panhuizen and Elia (2012). Geometry concepts have proven challenging for young students, but their difficulties may stem, in part, from inadequate teacher training and professional development (Clements and Sarama, 2000; Chard etal., 2008) which lead to misconceptions (Oberdorf and Taylor-Cox, 1999; Inan and Dogan-Temur, 2010). Using picture books in teacher training may be an inviting way for early childhood teachers to enhance their own knowledge. We will examine the literature for guidance on incorporating children’s literature into teacher training. In closing we will outline a comprehensive, multi-pronged agenda for best instructional practices for selection and use of children’s books in mathematics activities and for teacher training. PMID:24904475

Learning Mathematics in Two Dimensions: A Review and Look Ahead at Teaching and Learning Early Childhood Mathematics with Children’s Literature

Directory of Open Access Journals (Sweden)

Lucia M. Flevares

2014-05-01

Full Text Available In the past 25 years an identifiable interest in using children’s literature in mathematics learning emerged (Clyne & Griffiths, 1991; Haury, 2001; Hellwig, Monroe, & Jacobs, 2000; Hong, 1996; Welchman-Tischler, 1992. We critically review the rationales given for the use of picture books in mathematics learning, with a special focus on geometry due to its underrepresentation in this body of literature and the need for greater focus on this topic. The benefits and effectiveness of using picture books for children’s mathematics learning and interest have been documented (Hong, 1996; O’Neill, Pearce & Pick, 2004; Young-Loveridge, 2004. For geometry, although much learning of shape ideas should be hands-on, two-dimensional figures are essential to develop children’s understanding of plane geometry. Books may effectively engage pre-literate children with plane shapes (Skoumpourdi & Mpakopoulou, 2011; van den Heuvel-Panhuizen & Van den Boogaard, 2008 and shapes as gestalt wholes or prototypes (Clements et al., 1999; Hannibal, 1999; van Hiele, 1986. We review several guidelines and evaluative criteria for book selection, including Cianciolo (2000, Schiro (1997, Hunsader (2004 and Van den Heuvel-Panhuizen and Elia (2012. Geometry concepts have proven challenging for young students, but their difficulties may stem, in part, from inadequate teacher training and professional development (Chard, Baker & Clarke, 2008; Clements & Sarama, 2000 which lead to misconceptions (Inan & Dogan-Temur, 2010; Oberdorf & Taylor-Cox, 1999. Using picture books in teacher training may be an inviting way for early childhood teachers to enhance their own knowledge. We will examine the literature for guidance on incorporating children’s literature into teacher training. In closing we will outline a comprehensive, multi-pronged agenda for best instructional practices for selection and use of children’s books in mathematics activities and for teacher training.

Applied geometry and discrete mathematics

CERN Document Server

Sturm; Gritzmann, Peter; Sturmfels, Bernd

1991-01-01

This volume, published jointly with the Association for Computing Machinery, comprises a collection of research articles celebrating the occasion of Victor Klee's sixty-fifth birthday in September 1990. During his long career, Klee has made contributions to a wide variety of areas, such as discrete and computational geometry, convexity, combinatorics, graph theory, functional analysis, mathematical programming and optimization, and theoretical computer science. In addition, Klee made important contributions to mathematics education, mathematical methods in economics and the decision sciences, applications of discrete mathematics in the biological and social sciences, and the transfer of knowledge from applied mathematics to industry. In honor of Klee's achievements, this volume presents more than forty papers on topics related to Klee's research. While the majority of the papers are research articles, a number of survey articles are also included. Mirroring the breadth of Klee's mathematical contributions, th...

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.

Leading Undergraduate Research Projects in Mathematical Modeling

Science.gov (United States)

Seshaiyer, Padmanabhan

2017-01-01

In this article, we provide some useful perspectives and experiences in mentoring students in undergraduate research (UR) in mathematical modeling using differential equations. To engage students in this topic, we present a systematic approach to the creation of rich problems from real-world phenomena; present mathematical models that are derived…

An Introduction to Business Mathematics

OpenAIRE

Henk van Elst

2015-01-01

These lecture notes provide a self-contained introduction to the mathematical methods required in a Bachelor degree programme in Business, Economics, or Management. In particular, the topics covered comprise real-valued vector and matrix algebra, systems of linear algebraic equations, Leontief's stationary input-output matrix model, linear programming, elementary financial mathematics, as well as differential and integral calculus of real-valued functions of one real variable. A special focus...

Operator Semigroups meet Complex Analysis, Harmonic Analysis and Mathematical Physics

CERN Document Server

Chill, Ralph; Tomilov, Yuri

2015-01-01

This proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and Hilbert transforms, Banach and von Neumann algebras, Schrödinger operators, maximal regularity and Fourier multipliers, interpolation, operator-theoretical problems (concerning generation, perturbation and dilation, for example), and various qualitative and quantitative Tauberian theorems with a focus on transfinite induction and magics of Cantor. The last fifteen years have seen the dawn of a new era for semigroup theory with the emphasis on applications of abstract results, often unexpected and far removed from traditional ones. The aim of the conference was to bring together prominent experts in the field of modern...

Stem Cells: Taking a Closer Look at the Advancements and Hurdles of Stem Cell Research in Australia

Science.gov (United States)

Sanderson, Aimee

2008-01-01

The technology surrounding stem cells generates great excitement amongst scientists, media and the community. For science teachers, this means not only embracing and keeping track of the rapid growth and ongoing development in this field but also tackling the ethical and legislative issues surrounding the topic. So what are stem cells, what is all…

Conflicts in Developing an Elementary STEM Magnet School

Science.gov (United States)

Sikma, Lynn; Osborne, Margery

2014-01-01

Elementary schools in the United States have been the terrain of a highly politicized push for improved reading and mathematics attainment, as well as calls for increased importance to be given to science, technology, engineering, and mathematics (STEM). With priorities placed on basic skills, however, instructional time in subjects such as…

Using N-grams to identify mathematical topics in MXit lingo

CSIR Research Space (South Africa)

Butgereit, LL

2011-09-01

Full Text Available English which children, teenagers and young adults utilise when communicating using the popular MXit chat mechanism over cell phones. Conversations from the "Dr Math" project were used for this analysis. "Dr Math" is a mathematical tutoring service which...

TOPICAL REVIEW: Stem cell technology using bioceramics: hard tissue regeneration towards clinical application

Science.gov (United States)

Ohnishi, Hiroe; Oda, Yasuaki; Ohgushi, Hajime

2010-02-01

Mesenchymal stem cells (MSCs) are adult stem cells which show differentiation capabilities toward various cell lineages. We have already used MSCs for treatments of osteoarthritis, bone necrosis and bone tumor. For this purpose, culture expanded MSCs were combined with various ceramics and then implanted. Because of rejection response to allogeneic MSC implantation, we have utilized patients' own MSCs for the treatment. Bone marrow is a good cell source of MSCs, although the MSCs also exist in adipose tissue. When comparing osteogenic differentiation of these MSCs, bone marrow MSCs show more extensive bone forming capability than adipose MSCs. Thus, the bone marrow MSCs are useful for bone tissue regeneration. However, the MSCs show limited proliferation and differentiation capabilities that hindered clinical applications in some cases. Recent advances reveal that transduction of plural transcription factors into human adult cells results in generation of new type of stem cells called induced pluripotent stem cells (iPS cells). A drawback of the iPS cells for clinical applications is tumor formation after their in vivo implantation; therefore it is difficult to use iPS cells for the treatment. To circumvent the problem, we transduced a single factor of either SOX2 or NANOG into the MSCs and found high proliferation as well as osteogenic differentiation capabilities of the MSCs. The stem cells could be combined with bioceramics for clinical applications. Here, we summarize our recent technologies using adult stem cells in viewpoints of bone tissue regeneration.

International Conference on Mathematical Fluid Dynamics

CERN Document Server

Suzuki, Yukihito

2016-01-01

This volume presents original papers ranging from an experimental study on cavitation jets to an up-to-date mathematical analysis of the Navier-Stokes equations for free boundary problems, reflecting topics featured at the International Conference on Mathematical Fluid Dynamics, Present and Future, held 11–14 November 2014 at Waseda University in Tokyo. The contributions address subjects in one- and two-phase fluid flows, including cavitation, liquid crystal flows, plasma flows, and blood flows. Written by internationally respected experts, these papers highlight the connections between mathematical, experimental, and computational fluid dynamics. The book is aimed at a wide readership in mathematics and engineering, including researchers and graduate students interested in mathematical fluid dynamics.

Visualization and mathematics III

CERN Document Server

Polthier, Konrad

2003-01-01

This research book on Mathematical Visualization contains state of the art presentations on visualization problems in mathematics, on fundamental mathematical research in computer graphics, and on software frameworks for the application of visualization to real-world problems. All contributions were written by leading experts in the field and peer-refereed by an international editorial team. The book grew out of the third international workshop "Visualization and Mathematics", which was held from May 22-25, 2002 in Berlin. The themes of the book cover important recent developments on - Geometry and Combinatorics of Meshes - Discrete Vector Fields and Topology - Geometric Modelling - Image Based Visualization - Software Environments and Applications - Education and Communication The variety of topics makes the book a suitable resource for researchers, lecturers, and practitioners; http://www-sfb288.math.tu-berlin.de/vismath/

Mathematical foundations of thermodynamics

CERN Document Server

Giles, R; Stark, M; Ulam, S

2013-01-01

Mathematical Foundations of Thermodynamics details the core concepts of the mathematical principles employed in thermodynamics. The book discusses the topics in a way that physical meanings are assigned to the theoretical terms. The coverage of the text includes the mechanical systems and adiabatic processes; topological considerations; and equilibrium states and potentials. The book also covers Galilean thermodynamics; symmetry in thermodynamics; and special relativistic thermodynamics. The book will be of great interest to practitioners and researchers of disciplines that deal with thermodyn

A beginner's guide to mathematical logic

CERN Document Server

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.

Perinatal sources of stem cells

Directory of Open Access Journals (Sweden)

Magdalena Maria Piskorska-Jasiulewicz

2015-03-01

Full Text Available Recently, stem cell biology has become an interesting topic. Several varieties of human stem cells have been isolated and identified in vivo and in vitro. Successful application of hematopoietic stem cells in hematology has led to the search for other sources of stem cells and expanding the scale of their application. Perinatal stem cells are a versatile cell population, and they are interesting for both scientific and practical objectives. Stem cells from perinatal tissue may be particularly useful in the clinic for autologous transplantation for fetuses and newborns, and after banking in later stages of life, as well as for in utero transplantation in the case of genetic disorders. In this review paper we focus on the extraction and therapeutic potential of stem cells derived from perinatal tissues such as the placenta, the amnion, amniotic fluid, umbilical cord blood and Wharton’s jelly.

Parental Perceptions of STEM Enrichment for Young Children

Science.gov (United States)

Tay, Juliana; Salazar, Alissa; Lee, Hyeseong

2018-01-01

Most pre-kindergarten (pre-K) and kindergarten curricula are challenging and engaging, but few are strongly grounded in science, technology, engineering, and mathematics (STEM) education. In this study, the authors examined parental perception (N = 55) of the influences of a Saturday STEM enrichment program in one university center on pre-K and…

The Turkish Adaptation of the Mathematical Resilience Scale: Validity and Reliability Study

Science.gov (United States)

Gürefe, Nejla; Akçakin, Veysel

2018-01-01

Persistent in mathematical studies is an important element allowing students to be successful in their STEM careers, and there is a need for affective measurement instruments to assess persistence in mathematics in spite of problems. For this reason, this study aims to adapt the Mathematical Resilience Scale developed to assess resilience, which…

A MATLAB-Aided Method for Teaching Calculus-Based Business Mathematics

Science.gov (United States)

Liang, Jiajuan; Pan, William S. Y.

2009-01-01

MATLAB is a powerful package for numerical computation. MATLAB contains a rich pool of mathematical functions and provides flexible plotting functions for illustrating mathematical solutions. The course of calculus-based business mathematics consists of two major topics: 1) derivative and its applications in business; and 2) integration and its…

Opportunity to learn first year mathematics in teacher training ...

African Journals Online (AJOL)

African Journal of Educational Studies in Mathematics and Sciences ... topics in the first year teacher training mathematics syllabus were not taught by the end ... that the teacher training college tutors make efforts to complete the PS1 syllabus.

Conformal Field Theory, Automorphic Forms and Related Topics

CERN Document Server

Weissauer, Rainer; CFT 2011

2014-01-01

This book, part of the series Contributions in Mathematical and Computational Sciences, reviews recent developments in the theory of vertex operator algebras (VOAs) and their applications to mathematics and physics.   The mathematical theory of VOAs originated from the famous monstrous moonshine conjectures of J.H. Conway and S.P. Norton, which predicted a deep relationship between the characters of the largest simple finite sporadic group, the Monster, and the theory of modular forms inspired by the observations of J. MacKay and J. Thompson.   The contributions are based on lectures delivered at the 2011 conference on Conformal Field Theory, Automorphic Forms and Related Topics, organized by the editors as part of a special program offered at Heidelberg University that summer under the sponsorship of the MAThematics Center Heidelberg (MATCH).

Society, reality and STEM-education : challenging contributions to ‘science as practice’

NARCIS (Netherlands)

Taconis, R.; Pepin, B.

2017-01-01

Connecting school science and mathematics to real-life is a key issue in STEM education. This symposium presents four studies on ‘realistic’ STEM-education from various STEM-domains that all involve ‘science as practice’. Key issues addressed are: How can students’ understanding and appreciation of

Introduction to the foundations of mathematics

CERN Document Server

Wilder, Raymond L

2012-01-01

This classic undergraduate text by an eminent educator acquaints students with the fundamental concepts and methods of mathematics. In addition to introducing many noteworthy historical figures from the eighteenth through the mid-twentieth centuries, the book examines the axiomatic method, set theory, infinite sets, the linear continuum and the real number system, and groups. Additional topics include the Frege-Russell thesis, intuitionism, formal systems, mathematical logic, and the cultural setting of mathematics. Students and teachers will find that this elegant treatment covers a vast amou

Mathematical reasoning analogies, metaphors, and images

CERN Document Server

English, Lyn D

2013-01-01

How we reason with mathematical ideas continues to be a fascinating and challenging topic of research--particularly with the rapid and diverse developments in the field of cognitive science that have taken place in recent years. Because it draws on multiple disciplines, including psychology, philosophy, computer science, linguistics, and anthropology, cognitive science provides rich scope for addressing issues that are at the core of mathematical learning. Drawing upon the interdisciplinary nature of cognitive science, this book presents a broadened perspective on mathematics and mat

Applied mathematics for science and engineering

CERN Document Server

Glasgow, Larry A

2014-01-01

Prepare students for success in using applied mathematics for engineering practice and post-graduate studies moves from one mathematical method to the next sustaining reader interest and easing the application of the techniques Uses different examples from chemical, civil, mechanical and various other engineering fields Based on a decade's worth of the authors lecture notes detailing the topic of applied mathematics for scientists and engineers Concisely writing with numerous examples provided including historical perspectives as well as a solutions manual for academic adopters

The nature and power of mathematics

CERN Document Server

Davis, Donald M

2004-01-01

This captivating book explains some of mathematics' most fascinating ideas to nonspecialists. It explores items of philosophical and historical interest, discusses the often-surprising applicability of mathematics, and reveals the subject's intrinsic beauty. Author Donald M. Davis focuses on three main areas: non-Euclidean geometry, a basis for relativity theory; number theory, a major component of cryptography; and fractals, the key elements of computer-generated art. He also discusses related topics, such as the relevance of Greek mathematics to Kepler's laws of planetary motion, and the th

Helping parents to motivate adolescents in mathematics and science: an experimental test of a utility-value intervention.

Science.gov (United States)

Harackiewicz, Judith M; Rozek, Christopher S; Hulleman, Chris S; Hyde, Janet S

2012-08-01

The pipeline toward careers in science, technology, engineering, and mathematics (STEM) begins to leak in high school, when some students choose not to take advanced mathematics and science courses. We conducted a field experiment testing whether a theory-based intervention that was designed to help parents convey the importance of mathematics and science courses to their high school-aged children would lead them to take more mathematics and science courses in high school. The three-part intervention consisted of two brochures mailed to parents and a Web site, all highlighting the usefulness of STEM courses. This relatively simple intervention led students whose parents were in the experimental group to take, on average, nearly one semester more of science and mathematics in the last 2 years of high school, compared with the control group. Parents are an untapped resource for increasing STEM motivation in adolescents, and the results demonstrate that motivational theory can be applied to this important pipeline problem.

Topical Therapy with Mesenchymal Stem Cells Following an Acute Experimental Head Injury Has Benefits in Motor-Behavioral Tests for Rodents.

Science.gov (United States)

Lam, P K; Wang, Kevin K W; Ip, Anthony W I; Ching, Don W C; Tong, Cindy S W; Lau, Henry C H; Kong, Themis H C S; Lai, Paul B S; Wong, George K C; Poon, W S

2016-01-01

The neuroprotective effects of mesenchymal stem cells (MSCs) have been reported in rodent and in preliminary clinical studies. MSCs are usually transplanted to patients by systemic infusion. However, only a few of the infused MSCs are delivered to the brain because of pulmonary trapping and the blood-brain barrier. In this study, MSCs were topically applied to the site of traumatic brain injury (TBI) and the neuroprotective effects were assessed. TBI was induced in Sprague-Dawley (SD) rats with an electromagnetically controlled cortical impact device after craniotomy was performed between the bregma and lambda, 1 mm lateral to the midline. We applied 1.5 million MSCs, derived from the adipose tissue of transgenic green fluorescent protein (GFP)-SD rats, to the exposed cerebral cortex at the injured site. The MSCs were held in position by a thin layer of fibrin. Neurological function in the test (n = 10) and control (n = 10) animals was evaluated using the rotarod test, the water maze test, and gait analysis at different time points. Within 5 days following topical application, GFP-positive cells were found in the brain parenchyma. These cells co-expressed with markers of Glial fibrillary acidic protein (GFAP), nestin, and NeuN. There was less neuronal death in CA1 and CA3 of the hippocampus in the test animals. Neurological functional recovery was significantly improved. Topically applied MSCs can migrate to the injured brain parenchyma and offer neuroprotective effects.

Topics in current aerosol research (part2)

CERN Document Server

Hidy, G M

1972-01-01

Topics in Current Aerosol Research, Part 2 contains some selected articles in the field of aerosol study. The chosen topics deal extensively with the theory of diffusiophoresis and thermophoresis. Also covered in the book is the mathematical treatment of integrodifferential equations originating from the theory of aerosol coagulation. The book is the third volume of the series entitled International Reviews in Aerosol Physics and Chemistry. The text offers significant understanding of the methods employed to develop a theory for thermophoretic and diffusiophoretic forces acting on spheres in t

Mathematical problems in meteorological modelling

CERN Document Server

Csomós, Petra; Faragó, István; Horányi, András; Szépszó, Gabriella

2016-01-01

This book deals with mathematical problems arising in the context of meteorological modelling. It gathers and presents some of the most interesting and important issues from the interaction of mathematics and meteorology. It is unique in that it features contributions on topics like data assimilation, ensemble prediction, numerical methods, and transport modelling, from both mathematical and meteorological perspectives. The derivation and solution of all kinds of numerical prediction models require the application of results from various mathematical fields. The present volume is divided into three parts, moving from mathematical and numerical problems through air quality modelling, to advanced applications in data assimilation and probabilistic forecasting. The book arose from the workshop “Mathematical Problems in Meteorological Modelling” held in Budapest in May 2014 and organized by the ECMI Special Interest Group on Numerical Weather Prediction. Its main objective is to highlight the beauty of the de...

Algorithmic information theory mathematics of digital information processing

CERN Document Server

Seibt, Peter

2007-01-01

Treats the Mathematics of many important areas in digital information processing. This book covers, in a unified presentation, five topics: Data Compression, Cryptography, Sampling (Signal Theory), Error Control Codes, Data Reduction. It is useful for teachers, students and practitioners in Electronic Engineering, Computer Science and Mathematics.

The Classroom Observation Protocol for Undergraduate STEM (COPUS): A New Instrument to Characterize University STEM Classroom Practices

OpenAIRE

Smith, Michelle K.; Jones, Francis H. M.; Gilbert, Sarah L.; Wieman, Carl E.

2013-01-01

Instructors and the teaching practices they employ play a critical role in improving student learning in college science, technology, engineering, and mathematics (STEM) courses. Consequently, there is increasing interest in collecting information on the range and frequency of teaching practices at department-wide and institution-wide scales. To help facilitate this process, we present a new classroom observation protocol known as the Classroom Observation Protocol for Undergraduate STEM or C...

Vision in elementary mathematics

CERN Document Server

Sawyer, W W

2003-01-01

Sure-fire techniques of visualizing, dramatizing, and analyzing numbers promise to attract and retain students' attention and understanding. Topics include basic multiplication and division, algebra, word problems, graphs, negative numbers, fractions, many other practical applications of elementary mathematics. 1964 ed. Answers to Problems.

The STEM Pathway for Women: What Has Changed?

Science.gov (United States)

Heilbronner, Nancy N.

2013-01-01

In previous decades, researchers have identified a gender gap in the careers and academic achievement of men and women in science, technology, engineering, and mathematics (STEM). Recently, it has been suggested that some of these gender gaps no longer exist; however, the picture is more nuanced, for women are represented well in some STEM fields…

Lectures in the history of mathematics

CERN Document Server

Bos, Henk J M

1993-01-01

"[These lectures] are about themes of the history of mathematics which, for various reasons, are dear to me. The early differential and integral calculus, the work of Christiaan Huygens, and the concept of construction in seventeenth- and eighteenth-century mathematics are the three themes around which much of my research has concentrated and which continue to fascinate me by the insights they offer in the development of that special human activity called mathematics." -from the Introduction This volume contains eleven lectures ranging over a variety of topics in the history of mathematics. The lectures, presented between 1970 and 1987, were delivered in a variety of venues and appeared only in less accessible publications. Those who teach mathematics, as well as mathematics historians, will appreciate this insightful, wide-ranging book.

Structuring an Undergraduate Mathematics Seminar Dealing with Options and Hedging

Science.gov (United States)

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…

National Defense Education Program (NDEP) - Science, Technology, Engineering, and Mathematics (STEM) Education

Science.gov (United States)

2013-09-01

inquiry and scientific pedagogy . 2.0 PROGRAM OBJECTIVES The DoD selected AFRL/XPPD, Domestic Partnering Branch, as the NDEP coordinator at...users access to LabTV, STEM career videos , STEM Education Quality Framework and Curriculum developed by the Dayton Regional STEM Center. In October

Identifying 21st Century STEM Competencies Using Workplace Data

Science.gov (United States)

Jang, Hyewon

2016-01-01

Gaps between science, technology, engineering, and mathematics (STEM) education and required workplace skills have been identified in industry, academia, and government. Educators acknowledge the need to reform STEM education to better prepare students for their future careers. We pursue this growing interest in the skills needed for STEM…

Family Friendly Policies in STEM Departments: Awareness and Determinants

Science.gov (United States)

Su, Xuhong; Bozeman, Barry

2016-01-01

Focused on academic departments in science, technology, engineering, and mathematics (STEM) fields in the United States, we attempt to map department chairs' awareness of family friendly policies and investigate possible determinants of their knowledge levels. Based on a sample of STEM department chairs in American research universities, we find…

STEM Projects: Should We Add the "TEM" to Science?

Science.gov (United States)

Hall, Angela

2012-01-01

A recent curriculum development from the Nuffield Foundation rose to the challenge of producing a set of resources to establish STEM (Science, Technology, Engineering and Mathematics) as a curriculum focus. The result is two STEM cross-curricular projects: "Games," inspired by the London Olympics, and "Futures," a novel…

Mathematics for multimedia

CERN Document Server

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...

Women in STEM hit by discrimination

Science.gov (United States)

Randall, Ian

2016-02-01

Almost a third of women in science, technology, engineering and mathematics (STEM) in Australia are considering leaving their job within the next five years, according to a survey by the employee association Professionals Australia.

Concepts of mathematical modeling

CERN Document Server

Meyer, Walter J

2004-01-01

Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and classic models. Students with a solid background in calculus and some knowledge of probability and matrix theory will find the material entirely accessible. The range of subjects includes topics from the physical, biological, and social sciences, as well as those of operations research. Discussions cover related mathematical tools and the historical eras from which the applications are drawn. Each sec

Describing Pre-Service Teachers' Developing Understanding of Elementary Number Theory Topics

Science.gov (United States)

Feldman, Ziv

2012-01-01

Although elementary number theory topics are closely linked to foundational topics in number and operations and are prevalent in elementary and middle grades mathematics curricula, little is currently known about how students and teachers make sense of them. This study investigated pre-service elementary teachers' developing understanding of…

Mathematics of aperiodic order

CERN Document Server

Lenz, Daniel; Savinien, Jean

2015-01-01

What is order that is not based on simple repetition, that is, periodicity? How must atoms be arranged in a material so that it diffracts like a quasicrystal? How can we describe aperiodically ordered systems mathematically? Originally triggered by the – later Nobel prize-winning – discovery of quasicrystals, the investigation of aperiodic order has since become a well-established and rapidly evolving field of mathematical research with close ties to a surprising variety of branches of mathematics and physics. This book offers an overview of the state of the art in the field of aperiodic order, presented in carefully selected authoritative surveys. It is intended for non-experts with a general background in mathematics, theoretical physics or computer science, and offers a highly accessible source of first-hand information for all those interested in this rich and exciting field. Topics covered include the mathematical theory of diffraction, the dynamical systems of tilings or Delone sets, their cohomolog...

Increasing College Students' Interest and Engagement in STEM: A Comparison of Strategies for Challenging STEM Stereotypes

Science.gov (United States)

Shin, Jiyun Elizabeth L.

Increasing science, technology, engineering, and mathematics (STEM) graduates has become an important part of the education agenda in the U.S. in recent years. Stereotypes about STEM (i.e., belief that STEM abilities are innate, and that European American men are best suited for STEM) have been identified as one of the critical factors that may contribute to low recruitment and retention of STEM students. Drawing from the literatures on biological essentialism and role models, this study compared different strategies for challenging STEM stereotypes among undergraduate students in STEM and non-STEM fields. STEM stereotypes were challenged directly with research articles that provided non-biological explanations for STEM success and interest (a strategy used in the essentialism research) and indirectly with biographies of successful STEM role models who are underrepresented in their field and who succeeded through hard work (a strategy used in the role model research). Contrary to the predictions, exposure to the role model biographies, research articles, or combination of both did not have statistically significant effects on participants' reported STEM interest and academic intentions. Possible explanations for the lack of significant findings as well as suggestions for developing effective interventions to promote STEM engagement among students are discussed.

Effects of Transferring to STEM-Focused Charter and Magnet Schools on Student Achievement

Science.gov (United States)

Judson, Eugene

2014-01-01

There have been strong calls to action in recent years to promote both school choice and the learning of science, technology, engineering, and mathematics (STEM). This has led to the burgeoning development of STEM-focused schools. Nine STEM-focused charter and 2 STEM-focused magnet schools that serve elementary-aged students were examined to…

Career Advancement Outcomes in Academic Science, Technology, Engineering and Mathematics (STEM): Gender, Mentoring Resources, and Homophily

Science.gov (United States)

Lee, Sang Eun

This dissertation examines gender differences in career advancement outcomes among academic science, technology, engineering and mathematics (STEM) scientists. In particular, this research examines effects of gender, PhD advisors and postdoctoral supervisors mentoring resources and gender homophily in the mentoring dyads on the career advancement outcomes at early career stages. Female academic scientists have disadvantages in the career progress in the academic STEM. They tend to fall behind throughout their career paths and to leave the field compared to their male colleagues. Researchers have found that gender differences in the career advancement are shaped by gender-biased evaluations derived from gender stereotypes. Other studies demonstrate the positive impacts of mentoring and gender homophily in the mentoring dyads. To add greater insights to the current findings of female academic scientists' career disadvantages, this dissertation investigates comprehensive effects of gender, mentoring, and gender homophily in the mentoring dyads on female scientists' career advancement outcomes in academic science. Based on the Status Characteristics Theory, the concept of mentoring, Social Capital Theory, and Ingroup Bias Theory, causal path models are developed to test direct and indirect effects of gender, mentoring resources, and gender homophily on STEM faculty's career advancement. The research models were tested using structural equation modeling (SEM) with data collected from a national survey, funded by the National Science Foundation, completed in 2011 by tenured and tenure-track academic STEM faculty from higher education institutions in the United States. Findings suggest that there is no gender difference in career advancement controlling for mentoring resources and gender homophily in the mentoring dyads and other factors including research productivity and domestic caregiving responsibilities. Findings also show that the positive relationship between

Community Colleges Giving Students a Framework for STEM Careers

Science.gov (United States)

Musante, Susan

2012-01-01

Over the coming decade, America will need one million more science, technology, engineering, and mathematics (STEM) professionals than was originally projected. This is the conclusion of a February 2012 report, "Engage to Excel: Producing One Million Additional College Graduates with Degrees in Science, Technology, Engineering, and Mathematics".…

Applied mathematics

International Nuclear Information System (INIS)

Nedelec, J.C.

1988-01-01

The 1988 progress report of the Applied Mathematics center (Polytechnic School, France), is presented. The research fields of the Center are the scientific calculus, the probabilities and statistics and the video image synthesis. The research topics developed are: the analysis of numerical methods, the mathematical analysis of the physics and mechanics fundamental models, the numerical solution of complex models related to the industrial problems, the stochastic calculus and the brownian movement, the stochastic partial differential equations, the identification of the adaptive filtering parameters, the discrete element systems, statistics, the stochastic control and the development, the image synthesis techniques for education and research programs. The published papers, the congress communications and the thesis are listed [fr

Recent topics in nonlinear PDE

International Nuclear Information System (INIS)

Mimura, Masayasu; Nishida, Takaaki

1984-01-01

The meeting on the subject of nonlinear partial differential equations was held at Hiroshima University in February, 1983. Leading and active mathematicians were invited to talk on their current research interests in nonlinear pdes occuring in the areas of fluid dynamics, free boundary problems, population dynamics and mathematical physics. This volume contains the theory of nonlinear pdes and the related topics which have been recently developed in Japan. (Auth.)

A short course in discrete mathematics

CERN Document Server

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

Re-Imagining Specialized STEM Academies: Igniting and Nurturing "Decidedly Different Minds", by Design

Science.gov (United States)

Marshall, Stephanie Pace

2010-01-01

This article offers a personal vision and conceptual design for reimagining specialized science, technology, engineering, and mathematics (STEM) academies designed to nurture "decidedly different" STEM minds and ignite a new generation of global STEM talent, innovation, and entrepreneurial leadership. This design enables students to engage…

Learning Scientific Reasoning Skills May Be Key to Retention in Science, Technology, Engineering, and Mathematics

Science.gov (United States)

Jensen, Jamie L.; Neeley, Shannon; Hatch, Jordan B.; Piorczynski, Ted

2017-01-01

The United States produces too few Science, Technology, Engineering, and Mathematics (STEM) graduates to meet demand. We investigated scientific reasoning ability as a possible factor in STEM retention. To do this, we classified students in introductory biology courses at a large private university as either declared STEM or non-STEM majors and…

Mathematical History: Activities, Puzzles, Stories, and Games.

Science.gov (United States)

Mitchell, Merle

Based on the history of mathematics, these materials have been planned to enrich the teaching of mathematics in grades four, five, and six. Puzzles and games are based on stories about topics such as famous mathematicians, numerals of ancient peoples, and numerology. The sheets are arranged by grade level and are designed for easy duplication.…

Open problems in mathematical physics

Science.gov (United States)

Coley, Alan A.

2017-09-01

We present a list of open questions in mathematical physics. After a historical introduction, a number of problems in a variety of different fields are discussed, with the intention of giving an overall impression of the current status of mathematical physics, particularly in the topical fields of classical general relativity, cosmology and the quantum realm. This list is motivated by the recent article proposing 42 fundamental questions (in physics) which must be answered on the road to full enlightenment (Allen and Lidstrom 2017 Phys. Scr. 92 012501). But paraphrasing a famous quote by the British football manager Bill Shankly, in response to the question of whether mathematics can answer the Ultimate Question of Life, the Universe, and Everything, mathematics is, of course, much more important than that.

Mathematical omnibus thirty lectures on classic mathematics

CERN Document Server

Fuchs, Dmitry; Fuchs, Dmitry

2007-01-01

The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.

Index Theory with Applications to Mathematics and Physics

DEFF Research Database (Denmark)

Booss-Bavnbek, Bernhelm; Bleecker, David

Index Theory with Applications to Mathematics and Physics describes, explains, and explores the Index Theorem of Atiyah and Singer, one of the truly great accomplishments of twentieth-century mathematics whose influence continues to grow, fifty years after its discovery. The Index Theorem has giv...... birth to many mathematical research areas and exposed profound connections between analysis, geometry, topology, algebra, and mathematical physics. Hardly any topic of modern mathematics stands independent of its influence.......Index Theory with Applications to Mathematics and Physics describes, explains, and explores the Index Theorem of Atiyah and Singer, one of the truly great accomplishments of twentieth-century mathematics whose influence continues to grow, fifty years after its discovery. The Index Theorem has given...

Multiple Case Study of STEM in School-Based Agricultural Education

Science.gov (United States)

Stubbs, Eric A.; Myers, Brian E.

2015-01-01

This multiple case study investigated the integration of science, technology, engineering, and mathematics (STEM) in three Florida high school agriculture programs. Observations, interviews, documents, and artifacts provided qualitative data that indicated the types of STEM knowledge taught. Variables of interest included student and teacher…

Stem cell migration - Methods and protocols

Directory of Open Access Journals (Sweden)

Carlo Alberto Redi

2012-03-01

Full Text Available The trafficking of stem cells is something unconsciously clear to any biologists (e.g., developmental biologists and physicians (e.g., all those taking care of hematopoietic and bone diseases and traumas; neverthless it is a phenomenon coming out as a hot topic just in these last years. Likely, the difficulties to track stem cells migration in vivo and the understanding of the elusive homing signals matching the circulating stem cells properties that makes these cells to stop and to start multiplication and differentiation....

Leadership Training in Science, Technology, Engineering and Mathematics Education in Bulgaria

Science.gov (United States)

Bairaktarova, Diana; Cox, Monica F.; Evangelou, Demetra

2011-01-01

This synthesis paper explores current leadership training in science, technology, engineering and mathematics (STEM) education in Bulgaria. The analysis begins with discussion of global factors influencing the implementation of leadership training in STEM education in general and then presents information about the current status of leadership…

Tools of the trade introduction to advanced mathematics

CERN Document Server

Sally, Jr, Paul J

2008-01-01

This book provides a transition from the formula-full aspects of the beginning study of college level mathematics to the rich and creative world of more advanced topics. It is designed to assist the student in mastering the techniques of analysis and proof that are required to do mathematics. Along with the standard material such as linear algebra, construction of the real numbers via Cauchy sequences, metric spaces and complete metric spaces, there are three projects at the end of each chapter that form an integral part of the text. These projects include a detailed discussion of topics such

Mathematical concepts of quantum mechanics. 2. ed.

International Nuclear Information System (INIS)

Gustafson, Stephen J.; Sigal, Israel Michael

2011-01-01

The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. The last four chapters could also serve as an introductory course in quantum field theory. (orig.)

Communicating risks and benefits about ethically controversial topics: the case of induced pluripotent stem (iPS) cells.

Science.gov (United States)

Longstaff, Holly; McDonald, Michael; Bailey, Jennifer

2013-08-01

Many are supportive of approaches that incorporate lay citizens into policy making and risk management decisions. However, a great deal of learning must first take place about how citizen engagement for controversial topics is best accomplished. Online risk communication efforts are increasing in popularity but there is little empirical evidence accrued to demonstrate the effectiveness of such methods. The intention of our overall study is to create a powerful method for in-depth two-way communication with the public and expert communities about complex and sensitive issues at the heart of stem cell (SC) research. The fundamental objective is to raise awareness of SC science with lay citizens by fostering more holistic or "all things considered" ethical judgments. Our risk communication study demonstrates that lay citizens are both interested in, and capable of learning about, complex scientific issues provided the right tools are used to convey information and assess understanding. Our results show that it is worth the time and effort for SC researchers to continue posting podcasts and FAQ's about their work for non-expert communities to view. In addition, despite having increased our participants' risk perceptions about induced pluripotent stem (iPS) cell research, almost all were very supportive of this type of research in Canada by the end of the survey. In other words, participants understood that this research did in fact pose some risks and learned a great deal about both the risks and benefits of iPS cell research, and still thought this research was worthwhile to pursue.

Topics on continua

CERN Document Server

Macias, Sergio

2005-01-01

Specialized as it might be, continuum theory is one of the most intriguing areas in mathematics. However, despite being popular journal fare, few books have thoroughly explored this interesting aspect of topology. In Topics on Continua, Sergio Macías, one of the field's leading scholars, presents four of his favorite continuum topics: inverse limits, Jones's set function T, homogenous continua, and n-fold hyperspaces, and in doing so, presents the most complete set of theorems and proofs ever contained in a single topology volume. Many of the results presented have previously appeared only in research papers, and some appear here for the first time. After building the requisite background and exploring the inverse limits of continua, the discussions focus on Professor Jones''s set function T and continua for which T is continuous. An introduction to topological groups and group actions lead to a proof of Effros''s Theorem, followed by a presentation of two decomposition theorems. The author then offers an...

Approaches to teaching primary level mathematics

Directory of Open Access Journals (Sweden)

Caroline Long

2014-12-01

Full Text Available In this article we explore approaches to curriculum in the primary school in order to map and manage the omissions implicit in the current unfolding of the Curriculum and Assessment Policy Statement for mathematics. The focus of school-based research has been on curriculum coverage and cognitive depth. To address the challenges of teaching mathematics from the perspective of the learner, we ask whether the learners engage with the subject in such a way that they build foundations for more advanced mathematics. We firstly discuss three approaches that inform the teaching of mathematics in the primary school and which may be taken singly or in conjunction into organising the curriculum: the topics approach, the process approach, and the conceptual fields approach. Each of the approaches is described and evaluated by presenting both their advantages and disadvantages. We then expand on the conceptual fields approach by means of an illustrative example. The planning of an instructional design integrates both a topics and a process approach into a conceptual fields approach. To address conceptual depth within this approach, we draw on five dimensions required for understanding a mathematical concept. In conclusion, we reflect on an approach to curriculum development that draws on the integrated theory of conceptual fields to support teachers and learners in the quest for improved teaching and learning.

Teaching Annuities to Mathematics Majors.

Science.gov (United States)

Smart, James R.

1980-01-01

This article contains a sequence of topics from the mathematics of annuities presented in a way that can be used as a brief unit on business applications at the level of intermediate or college algebra. (Author/MK)

13th European Conference on Mathematics for Industry

CERN Document Server

Mattheij, RMM; Peletier, MA

2006-01-01

ECMI has a brand name in Industrial Mathematics and organises successful biannual conferences. This time, the conference on Industrial Mathematics held in Eindhoven in June 2004 Mathematics focused on Aerospace, Electronic Industry, Chemical Technology, Life Sciences, Materials, Geophysics, Financial Mathematics and Water flow. The majority of the invited talks on these topics can be found in these proceedings. Apart form these lectures, a large number of contributed papers and minisymposium papers are included here. They give an interesting and impressive overview of the important place mathematics has achieved in solving all kinds of problems met in industry, and commerce in particular.

Strategies of solving arithmetic word problems in students with learning difficulties in mathematics

OpenAIRE

Kalan, Marko

2015-01-01

Problem solving as an important skill is, beside arithmetic, measure and algebra, included in standards of school mathematics (National Council of Teachers of Mathematics) (NCTM, 2000) and needed as a necessary skill for successfulness in science, technology, engineering and mathematics (STEM) (National Mathematics Advisory Panel, 2008). Since solving of human problems is connected to the real life, the arithmetic word problems (in short AWP) are an important kind of mathematics tasks in scho...

What’s So Special about STEM? A Comparison of Women’s Retention in STEM and Professional Occupations

OpenAIRE

Glass, Jennifer L.; Sassler, Sharon; Levitte, Yael; Michelmore, Katherine M.

2013-01-01

We follow female college graduates in the National Longitudinal Survey of Youth 1979 and compare the trajectories of women in science, technology, engineering, and mathematics (STEM)-related occupations to other professional occupations. Results show that women in STEM occupations are significantly more likely to leave their occupational field than professional women, especially early in their career, while few women in either group leave jobs to exit the labor force. Family factors cannot ac...

Introduction to mathematical logic

CERN Document Server

Mendelson, Elliott

2015-01-01

The new edition of this classic textbook, Introduction to Mathematical Logic, Sixth Edition explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. The text also discusses the major results of Gödel, Church, Kleene, Rosser, and Turing.The sixth edition incorporates recent work on Gödel's second incompleteness theorem as well as restoring an appendix on consistency proofs for first-order arithmetic. This appendix last appeared in the first edition. It is offered in th

Handbook of mathematical methods in imaging

CERN Document Server

2015-01-01

The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. This expanded and revised second edition contains updates to existing chapters and 16 additional entries on important mathematical methods such as graph cuts, morphology, discrete geometry, PDEs, conformal methods, to name a few. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 200 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and com...

Building Bridges between Psychological Science and Education: Cultural Stereotypes, STEM, and Equity

Science.gov (United States)

Master, Allison; Meltzoff, Andrew N.

2016-01-01

There is a gender gap in science, technology, engineering, and mathematics (STEM) education. This presents a worldwide problem of inequity. Sociocultural stereotypes associating STEM with males act as barriers that prevent girls from developing interests in STEM. This article aims to show that we can increase equity and enhance outcomes for a…

STEM Learning Is Everywhere: Summary of a Convocation on Building Learning Systems

Science.gov (United States)

Olson, Steve; Labov, Jay

2014-01-01

Science, technology, engineering, and mathematics (STEM) permeate the modern world. The jobs people do, the foods they eat, the vehicles in which they travel, the information they receive, the medicines they take, and many other facets of modern life are constantly changing as STEM knowledge steadily accumulates. Yet STEM education in the United…

Why are some STEM fields more gender balanced than others?

Science.gov (United States)

Cheryan, Sapna; Ziegler, Sianna A; Montoya, Amanda K; Jiang, Lily

2017-01-01

Women obtain more than half of U.S. undergraduate degrees in biology, chemistry, and mathematics, yet they earn less than 20% of computer science, engineering, and physics undergraduate degrees (National Science Foundation, 2014a). Gender differences in interest in computer science, engineering, and physics appear even before college. Why are women represented in some science, technology, engineering, and mathematics (STEM) fields more than others? We conduct a critical review of the most commonly cited factors explaining gender disparities in STEM participation and investigate whether these factors explain differential gender participation across STEM fields. Math performance and discrimination influence who enters STEM, but there is little evidence to date that these factors explain why women's underrepresentation is relatively worse in some STEM fields. We introduce a model with three overarching factors to explain the larger gender gaps in participation in computer science, engineering, and physics than in biology, chemistry, and mathematics: (a) masculine cultures that signal a lower sense of belonging to women than men, (b) a lack of sufficient early experience with computer science, engineering, and physics, and (c) gender gaps in self-efficacy. Efforts to increase women's participation in computer science, engineering, and physics may benefit from changing masculine cultures and providing students with early experiences that signal equally to both girls and boys that they belong and can succeed in these fields. (PsycINFO Database Record (c) 2016 APA, all rights reserved).

Mathematical and Scientific Foundations for an Integrative Engineering Curriculum.

Science.gov (United States)

Carr, Robin; And Others

1995-01-01

Describes the Mathematical and Scientific Foundations of Engineering curriculum which emphasizes the mathematical and scientific concepts common to all engineering fields. Scientists and engineers together devised topics and experiments that emphasize the relevance of theory to real-world applications. Presents material efficiently while building…

Philosophy of mathematics an introduction to a world of proofs and pictures

CERN Document Server

Brown, James Robert

1999-01-01

This text discusses the great philosophers and the importance of mathematics to their thought. It includes topics such as: the mathematical image; platonism; picture-proofs; applied mathematics; Hilbert and Godel; knots and nations; definitions; picture-proofs and Wittgenstein; and computation, proof and conjecture.

The Impact of Inclusive STEM High Schools on Student Achievement

Directory of Open Access Journals (Sweden)

Jennifer Gnagey

2016-05-01

Full Text Available This study is one of the first to estimate the impact of “inclusive“ science, technology, engineering, and mathematics (STEM high schools using student-level data. We use multiple statistical strategies to estimate the effect on student achievement from 2 years of attendance at six such high schools in Ohio. The results indicate that two schools had positive effects on science achievement that appear to come at the expense of achievement in social studies. The other schools had negligible or, often, negative effects across both STEM and, particularly, non-STEM subjects. These results are consistent with studies indicating that inclusive STEM schools typically focus on problem-based, personalized learning rather than science and mathematics content. The analysis also reveals the importance of accounting for students’ prior test scores in science, in addition to math and reading, when estimating models that use only 1 year of prior test score data—something that existing studies fail to do.

Using dynamic software in mathematics: the case of reflection symmetry

Science.gov (United States)

Tatar, Enver; Akkaya, Adnan; Berrin Kağizmanli, Türkan

2014-10-01

This study was carried out to examine the effects of computer-assisted instruction (CAI) using dynamic software on the achievement of students in mathematics in the topic of reflection symmetry. The study also aimed to ascertain the pre-service mathematics teachers' opinions on the use of CAI in mathematics lessons. In the study, a mixed research method was used. The study group of this research consists of 30 pre-service mathematics teachers. The data collection tools used include a reflection knowledge test, a survey and observations. Based on the analysis of the data obtained from the study, the use of CAI had a positive effect on achievement in the topic of reflection symmetry of the pre-service mathematics teachers. The pre-service mathematics teachers were found to largely consider that a mathematics education which is carried out utilizing CAI will be more beneficial in terms of 'visualization', 'saving of time' and 'increasing interest/attention in the lesson'. In addition, it was found that the vast majority of them considered using computers in their teaching on the condition that the learning environment in which they would be operating has the appropriate technological equipment.

Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics

Science.gov (United States)

Davies, Robin; Hodge, Terrell; Enyedi, Alexander

2010-01-01

We describe an ongoing collaborative curriculum materials development project between Sweet Briar College and Western Michigan University, with support from the National Science Foundation. We present a collection of modules under development that can be used in existing mathematics and biology courses, and we address a critical national need to introduce students to mathematical methods beyond the interface of biology with calculus. Based on ongoing research, and designed to use the project-based-learning approach, the modules highlight applications of modern discrete mathematics and algebraic statistics to pressing problems in molecular biology. For the majority of projects, calculus is not a required prerequisite and, due to the modest amount of mathematical background needed for some of the modules, the materials can be used for an early introduction to mathematical modeling. At the same time, most modules are connected with topics in linear and abstract algebra, algebraic geometry, and probability, and they can be used as meaningful applied introductions into the relevant advanced-level mathematics courses. Open-source software is used to facilitate the relevant computations. As a detailed example, we outline a module that focuses on Boolean models of the lac operon network. PMID:20810955

Mathematical biology modules based on modern molecular biology and modern discrete mathematics.

Science.gov (United States)

Robeva, Raina; Davies, Robin; Hodge, Terrell; Enyedi, Alexander

2010-01-01

We describe an ongoing collaborative curriculum materials development project between Sweet Briar College and Western Michigan University, with support from the National Science Foundation. We present a collection of modules under development that can be used in existing mathematics and biology courses, and we address a critical national need to introduce students to mathematical methods beyond the interface of biology with calculus. Based on ongoing research, and designed to use the project-based-learning approach, the modules highlight applications of modern discrete mathematics and algebraic statistics to pressing problems in molecular biology. For the majority of projects, calculus is not a required prerequisite and, due to the modest amount of mathematical background needed for some of the modules, the materials can be used for an early introduction to mathematical modeling. At the same time, most modules are connected with topics in linear and abstract algebra, algebraic geometry, and probability, and they can be used as meaningful applied introductions into the relevant advanced-level mathematics courses. Open-source software is used to facilitate the relevant computations. As a detailed example, we outline a module that focuses on Boolean models of the lac operon network.

STEM-based workbook: Enhancing students' STEM competencies on lever system

Science.gov (United States)

Sejati, Binar Kasih; Firman, Harry; Kaniawati, Ida

2017-05-01

Twenty-first century is a century of technology, a rapid development of scientific studies and technology make them relied heavily on each other. This research investigated about the effect of STEM-based workbook in enhancing students' STEM competencies in terms of knowledge understanding, problem solving skill, innovative abilities, and responsibility. The workbook was tried on 24 students that applied engineering design processes together with mathematics and science knowledge to design and create an egg cracker. The result showed that the implementation of STEM-based workbook on lever system in human body is effective to improve students' STEM competencies, it can be proven by students' result on their knowledge understanding improvement which can be seen from normalized gain () score is 0.41 and categorized as medium improvement, students' problem solving skill is also improving where it obtained a medium improvement with normalized gain as much as 0.45. Innovative abilities also encountered an the improvement, the workbook analysis obtained a higher score which means students can be more innovative after finishing their workbook. Last, students' responsibility is keep improving day by day, students' effort gain the highest score it means that the students become more responsible after implementation of STEM-based workbook. All of the results are supported with the response of students towards STEM-based workbook implementation which showed positive response in all indicators.

Using Prediction to Promote Mathematical Understanding and Reasoning

Science.gov (United States)

Kasmer, Lisa; Kim, Ok-Kyeong

2011-01-01

Research has shown that prediction has the potential to promote the teaching and learning of mathematics because it can be used to enhance students' thinking and reasoning at all grade levels in various topics. This article addresses the effectiveness of using prediction on students' understanding and reasoning of mathematical concepts in a middle…

CDM: Teaching Discrete Mathematics to Computer Science Majors

Science.gov (United States)

Sutner, Klaus

2005-01-01

CDM, for computational discrete mathematics, is a course that attempts to teach a number of topics in discrete mathematics to computer science majors. The course abandons the classical definition-theorem-proof model, and instead relies heavily on computation as a source of motivation and also for experimentation and illustration. The emphasis on…

Persian architecture and mathematics

CERN Document Server

2012-01-01

This volulme features eight original papers dedicated to the theme “Persian Architecture and Mathematics,” guest edited by Reza Sarhangi. All papers were approved through a rigorous process of blind peer review and edited by an interdisciplinary scientific editorial committee. Topics range from symmetry in ancient Persian architecture to the elaborate geometric patterns and complex three-dimensional structures of standing monuments of historical periods, from the expression of mathematical ideas to architectonic structures, and from decorative ornament to the representation of modern group theory and quasi-crystalline patterns. The articles discuss unique monuments Persia, including domed structures and two-dimensional patterns, which have received significant scholarly attention in recent years. This book is a unique contribution to studies of Persian architecture in relation to mathematics.

Psycho-Social Determinants of Gender Prejudice in Science, Technology, Engineering and Mathematics

Science.gov (United States)

Nnachi, N. O.; Okpube, M. N.

2015-01-01

This work focused on the "Psycho-social Determinants of Gender Prejudice in Science, Technology, Engineering and Mathematics (STEM)". The females were found to be underrepresented in STEM fields. The under-representation results from gender stereotype, differences in spatial skills, hierarchical and territorial segregations and…

A mathematical gallery

CERN Document Server

Gaal, Lisl

2017-01-01

Embark on a playful mathematical tour, aided by Lisl Gaal's illustrations of familiar scenes and whimsical triggers for the imagination. Along the way, find fruit stands arranged using polynomial multiplication, checkerboard tablecloths sewed with patterns of primes in a two-dimensional number system, and deceptive cats revealing that simple counting is not always so simple. Grasping the mathematics in this book requires only a basic background in algebra and geometry, so while the ideas can be understood and enjoyed at a variety of levels, it is recommended for ages 13-99. Touching on topics in current research, this is a book to read and revisit, gaining new insights each time.

Hemomath the mathematics of blood

CERN Document Server

Fasano, Antonio

2017-01-01

This book illustrates applications of mathematics to various processes (physiological or artificial) involving flowing blood, including hemorheology, microcirculation, coagulation, kidney filtration and dialysis, offering a historical overview of each topic. Mathematical models are used to simulate processes normally occurring in flowing blood and to predict the effects of dysfunctions (e.g. bleeding disorders, renal failure), as well as the effects of therapies with an eye to improving treatments. Most of the models have a completely new approach that makes patient-specific simulations possible. The book is mainly intended for mathematicians interested in medical applications, but it is also useful for clinicians such as hematologists, nephrologists, cardio-surgeons, and bioengineers. Some parts require no specific knowledge of mathematics. The book is a valuable addition to mathematics, medical, biology, and bioengineering libraries.

Open problems in mathematical physics

International Nuclear Information System (INIS)

Coley, Alan A

2017-01-01

We present a list of open questions in mathematical physics. After a historical introduction, a number of problems in a variety of different fields are discussed, with the intention of giving an overall impression of the current status of mathematical physics, particularly in the topical fields of classical general relativity, cosmology and the quantum realm. This list is motivated by the recent article proposing 42 fundamental questions (in physics) which must be answered on the road to full enlightenment (Allen and Lidstrom 2017 Phys. Scr . 92 012501). But paraphrasing a famous quote by the British football manager Bill Shankly, in response to the question of whether mathematics can answer the Ultimate Question of Life, the Universe, and Everything, mathematics is, of course, much more important than that. (invited comment)

Mathematics for quantum chemistry

CERN Document Server

Anderson, Jay Martin

2005-01-01

This concise volume offers undergraduates an introduction to mathematical formalism in problems of molecular structure and motion. The main topics cover the calculus of orthogonal functions, algebra of vector spaces, and Lagrangian and Hamiltonian formulation of classical mechanics and applications to molecular motion. Answers to problems. 1966 edition.

2015 Association for Women in Mathematics Symposium

CERN Document Server

Lauter, Kristin; Chambers, Erin; Flournoy, Nancy; Grigsby, Julia; Martin, Carla; Ryan, Kathleen; Trivisa, Konstantina

2016-01-01

Presenting the latest findings in topics from across the mathematical spectrum, this volume includes results in pure mathematics along with a range of new advances and novel applications to other fields such as probability, statistics, biology, and computer science. All contributions feature authors who attended the Association for Women in Mathematics Research Symposium in 2015: this conference, the third in a series of biennial conferences organized by the Association, attracted over 330 participants and showcased the research of women mathematicians from academia, industry, and government.

Proofs and fundamentals a first course in abstract mathematics

CERN Document Server

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 ...

The Effects of STEM PBL on Students' Mathematical and Scientific Vocabulary Knowledge

Science.gov (United States)

Bilgin, Ali; Boedeker, Peter; Capraro, Robert M.; Capraro, Mary M.

2015-01-01

Vocabulary is at the surface level of language usage; thus, students need to develop mathematical and scientific vocabulary to be able to explicitly communicate their mathematical and scientific reasoning with others. The National Council of Teachers of Mathematics (NCTM) and the National Science Teachers Association (NSTA) have both created…

Toward a Framework for Multicultural STEM-Focused Career Interventions

Science.gov (United States)

Byars-Winston, Angela

2015-01-01

Numerous federal and national commissions have called for policies, funds, and initiatives aimed at expanding the nation's science, technology, engineering, and mathematics (STEM) workforce and education investments to create a significantly larger, more diverse talent pool of individuals who pursue technical careers. Career development professionals are poised to contribute to the equity discourse about broadening STEM participation. However, few are aware of STEM-related career development matters, career opportunities and pathways, or strategies for promoting STEM pursuits. The author summarizes STEM education and workforce trends and articulates an equity imperative for broadening and diversifying STEM participation. The author then offers a multicultural STEM-focused career development framework to encourage career development professionals' knowledge and awareness of STEM education and careers and delineates considerations for practice aimed at increasing the attainment and achievement of diverse groups in STEM fields. PMID:25750480

A readable introduction to real mathematics

CERN Document Server

Rosenthal, Daniel; Rosenthal, Peter

2014-01-01

Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to engage the reader and to teach a real understanding of mathematical thinking while conveying the beauty and elegance of mathematics. The text focuses on teaching the understanding of mathematical proofs. The material covered has applications both to mathematics and to other subjects. The book contains a large number of exercises of varying difficulty, designed to help reinforce basic concepts and to motivate and challenge the reader. The sole prerequisite for understanding the text is basic high school algebra; some trigonometry is needed for Chapters 9 and 12. Topics covered include: * mathematical induction * modular arithmetic * the fundamental theorem of arithmetic * Fermat's little theorem * RSA encryption * the Euclidean algorithm * rational and irrational numbers * complex numbers * cardinality * Euclidean pl...

Mathematics Teacher Educators' Perceptions and Use of Cognitive Research

Science.gov (United States)

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,…

Sheaves in Elementary Mathematics: The case of positive integer numbers

OpenAIRE

Luna-Torres, Joaquin

2015-01-01

We aim to use the concept of sheaf to establish a link between certain aspects of the set of positive integers numbers, a topic corresponding to the elementary mathematics, and some fundamental ideas of contemporary mathematics. We hope that this type of approach helps the school students to restate some problems of elementary mathematics in an environment deeper and suitable for its study.

Study choice and career development in STEM fields: an overview and integration of the research

NARCIS (Netherlands)

van Tuijl, Cathy; Walma van der Molen, Julie Henriëtte

2015-01-01

Although science, technology, engineering and mathematics (STEM) study paths and STEM work fields may be relatively difficult and therefore not appropriate for everyone, too many children prematurely exclude STEM-related study and work options, based on negative images of the field or negative

STEM: Good Jobs Now and for the Future. ESA Issue Brief #03-11

Science.gov (United States)

Langdon, David; McKittrick, George; Beede, David; Khan, Beethika; Doms, Mark

2011-01-01

Science, technology, engineering and mathematics (STEM) workers drive the nation's innovation and competitiveness by generating new ideas, new companies and new industries. However, U.S. businesses frequently voice concerns over the supply and availability of STEM workers. Over the past 10 years, growth in STEM jobs was three times as fast as…

Expanding STEM opportunities through inclusive STEM‐focused high schools

Science.gov (United States)

Wang, Haiwen; Wei, Xin; Lynch, Sharon; Peters, Vanessa; Young, Viki; Allen, Carrie

2017-01-01

Abstract Inclusive STEM high schools (ISHSs) (where STEM is science, technology, engineering, and mathematics) admit students on the basis of interest rather than competitive examination. This study examines the central assumption behind these schools—that they provide students from subgroups underrepresented in STEM with experiences that equip them academically and attitudinally to enter and stay in the STEM pipeline. Hierarchical modeling was applied to data from student surveys and state longitudinal data records for 5113 students graduating from 39 ISHSs and 22 comprehensive high schools in North Carolina and Texas. Compared to peers from the same demographic group with similar Grade 8 achievement levels, underrepresented minority and female ISHS students in both states were more likely to undertake advanced STEM coursework. Hispanics in Texas and females in both states expressed more STEM career interest in Grade 12 if they attended an ISHS. Positive relationships between ISHS attendance and grade point average were found in the total sample and each subgroup in North Carolina. Positive ISHS advantages in terms of test scores for the total student sample were found for science in both states and for mathematics in Texas. For the various student subgroups, test score differences favored the ISHS samples but attained statistical significance only for African Americans’ science achievement scores in the Texas study. PMID:28919649

Mathematical analysis, approximation theory and their applications

CERN Document Server

Gupta, Vijay

2016-01-01

Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.

The reasonable effectiveness of mathematics in the natural sciences

Science.gov (United States)

Harvey, Alex

2011-12-01

Mathematics and its relation to the physical universe have been the topic of speculation since the days of Pythagoras. Several different views of the nature of mathematics have been considered: Realism—mathematics exists and is discovered; Logicism—all mathematics may be deduced through pure logic; Formalism—mathematics is just the manipulation of formulas and rules invented for the purpose; Intuitionism—mathematics comprises mental constructs governed by self evident rules. The debate among the several schools has major importance in understanding what Eugene Wigner called, The Unreasonable Effectiveness of Mathematics in the Natural Sciences. In return, this `Unreasonable Effectiveness' suggests a possible resolution of the debate in favor of Realism. The crucial element is the extraordinary predictive capacity of mathematical structures descriptive of physical theories.

The Maths Arcade: A Tool for Supporting and Stretching Mathematics Undergraduates

OpenAIRE

Bradshaw, Noel-Ann

2017-01-01

The Maths Arcade is an activity which aims simultaneously to support those university mathematics learners who are having difficulties, stretch more confident learners, and encourage the development of a staff-student mathematical community. The first Maths Arcade was set up at the University of Greenwich in September 2010, funded initially by a University grant for innovative teaching and later by the Mathematical Sciences Curriculum Innovation Fund of the UK National Higher Education STEM P...

Power systems engineering and mathematics

CERN Document Server

Knight, U G

1972-01-01

Power Systems Engineering and Mathematics investigates the application of mathematical aids, particularly the techniques of resource planning, to some of the technical-economic problems of power systems engineering. Topics covered include the process of engineering design and the use of computers in system design and operation; power system planning and operation; time scales and computation in system operation; and load prediction and generation capacity. This volume is comprised of 13 chapters and begins by outlining the stages in the synthesis of designs (or operating states) for engineerin

Popular lectures on mathematical logic

CERN Document Server

Wang, Hao

2014-01-01

A noted logician and philosopher addresses various forms of mathematical logic, discussing both theoretical underpinnings and practical applications. Author Hao Wang surveys the central concepts and theories of the discipline in a historical and developmental context, and then focuses on the four principal domains of contemporary mathematical logic: set theory, model theory, recursion theory and constructivism, and proof theory.Topics include the place of problems in the development of theories of logic and logic's relation to computer science. Specific attention is given to Gödel's incomplete

Mathematical statistics and stochastic processes

CERN Document Server

Bosq, Denis

2013-01-01

Generally, books on mathematical statistics are restricted to the case of independent identically distributed random variables. In this book however, both this case AND the case of dependent variables, i.e. statistics for discrete and continuous time processes, are studied. This second case is very important for today's practitioners.Mathematical Statistics and Stochastic Processes is based on decision theory and asymptotic statistics and contains up-to-date information on the relevant topics of theory of probability, estimation, confidence intervals, non-parametric statistics and rob

Cyberinfrastructure for Undergraduate STEM Education

Science.gov (United States)

Swaid, Samar

2013-01-01

Cyberinfrastructure (CI) is a term that usually appears in scientific research, but rarely to be noticed as a scientific education tool. In this paper, I describe a transformative Cyberinfrastructure-based strategy to improve Science, Technology, Engineering and Mathematics (STEM) education at one of the historically black colleges. This strategy…

Stochastic equations for complex systems theoretical and computational topics

CERN Document Server

Bessaih, Hakima

2015-01-01

Mathematical analyses and computational predictions of the behavior of complex systems are needed to effectively deal with weather and climate predictions, for example, and the optimal design of technical processes. Given the random nature of such systems and the recognized relevance of randomness, the equations used to describe such systems usually need to involve stochastics.  The basic goal of this book is to introduce the mathematics and application of stochastic equations used for the modeling of complex systems. A first focus is on the introduction to different topics in mathematical analysis. A second focus is on the application of mathematical tools to the analysis of stochastic equations. A third focus is on the development and application of stochastic methods to simulate turbulent flows as seen in reality.  This book is primarily oriented towards mathematics and engineering PhD students, young and experienced researchers, and professionals working in the area of stochastic differential equations ...

Computational mathematics in China

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Shi, Zhong-Ci

1994-01-01

This volume describes the most significant contributions made by Chinese mathematicians over the past decades in various areas of computational mathematics. Some of the results are quite important and complement Western developments in the field. The contributors to the volume range from noted senior mathematicians to promising young researchers. The topics include finite element methods, computational fluid mechanics, numerical solutions of differential equations, computational methods in dynamical systems, numerical algebra, approximation, and optimization. Containing a number of survey articles, the book provides an excellent way for Western readers to gain an understanding of the status and trends of computational mathematics in China.

Mathematical analysis I

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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...

Mathematical olympiad challenges

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Andreescu, Titu

2000-01-01

Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory were selected from numerous mathematical competitions and journals. An important feature of the work is the comprehensive background material provided with each grouping of problems. The problems are clustered by topic into self-contained sections with solutions provided separately. All sections start with an essay discussing basic facts and one or two representative examples. A list of carefully chosen problems follows and the reader is invited to take them on. Additionally, historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on encouraging readers to move away from routine exercises and memorized algorithms toward creative solutions to open-e...

Beyond Knowledge and Skills: Rethinking the Development of Professional Identity during the STEM Doctorate

Science.gov (United States)

Hancock, Sally; Walsh, Elaine

2016-01-01

The science, technology, engineering, mathematics (STEM) doctorate is the established entry qualification for a scientific research career. However, contemporary STEM doctoral graduates assume increasingly diverse professional paths, with many forging non-academic careers. Using the UK as an example, the authors suggest that the STEM PhD fails to…

Analysis of Students’ Incorrect Answers on the Topic of Roman Numerals in The Fourth-Grade of Primary School

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Selvianiresa, D.; Jupri, Al

2017-02-01

Mathematics has an important role in solving problems related to mathematical symbols. Mathematics topics are related to the daily life of students, as well as mathematics in the primary school level. In this paper, we report the results of research that aims to understand the difficulties of primary school students towards mathematics, especially on the topic of Roman numerals. The subject of this research included 38 students of fourth grade students from a primary school in the city of Bandung. The results showed that the teacher is more likely do the learning to deliver topic directly to students, rather than having to relatethe learning with a real context. In addition, after the teacher gave some exercises to students, we observed that there are some students’ answers that are unpredictable and made errors. Unexpected answers are caused by student’s unconscientious, misunderstanding, or inability to memorize in seven Roman numeral in general. The results of this analysis can be used to develop teacher competence in the teaching and learning process in the future. In this way, we expect the teacher can prepare various student responses to the given problems in the learning process.

KUSPACE: Embedding Science Technology and Mathematics Ambassador Activities in the Undergradiuate Engineering Curriculum

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Welch, C.; Osborne, B.

The UK national STEM Ambassadors programme provides inspiring role models for school students in science, technology, engineering, mathematics (STEM) subjects. STEMNET, the national body responsible for STEM Ambassa- dors aims to provide more than 27,000 STEM Ambassadors nationwide by the end of 2011. This paper reports on a project at Kingston University to embed STEM Ambassador training and activity in Year 2 of the undergraduate Aerospace Engineering, Astronautics and Space Technology degree. The project, known as KUSPACE (Kingston University Students Providing Amazing Classroom Experiences), was conceived to develop students' communication, planning and presentation skills and build links between different cohort years, while providing a valuable contribution to local primary schools' STEM programmes and simultaneously raising the public engagement profile of the university. This paper describes the pedagogical conception of the KUSPACE, its implementation in the curriculum, the delivery of it in the university and schools and its effect on the undergraduate students, as well as identifying good practice and drawing attention to lessons learned.STEMNET (www.stemnet.org) is the UK's Science, Technol- ogy, Engineering and Mathematics Network. Working with a broad range of UK partners and funded by the UK govern- ment's Department for Business Innovation and Skills, STEMNET plays a significant role in ensuring that five to nineteen year olds and their teachers can experience a wide range of activities and schemes which enhance and enrich the school curriculum [1]. Covering all aspects of Science, Tech- nology, Engineering and Maths (STEM), these activities and schemes are designed both to increase STEM awareness and literacy in the young people and also to encourage more of them to undertake post-16 STEM qualifications and associated careers [2]. STEMNET operates through forty-five local con- tract holders around the UK which help the network deliver its

Mathematical methods in engineering

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Machado, José

2014-01-01

This book presents a careful selection of the contributions presented at the Mathematical Methods in Engineering (MME10) International Symposium, held at the Polytechnic Institute of Coimbra- Engineering Institute of Coimbra (IPC/ISEC), Portugal, October 21-24, 2010. The volume discusses recent developments about theoretical and applied mathematics toward the solution of engineering problems, thus covering a wide range of topics, such as:  Automatic Control, Autonomous Systems, Computer Science, Dynamical Systems and Control,  Electronics, Finance and Economics, Fluid Mechanics and Heat Transfer, Fractional Mathematics, Fractional Transforms and Their Applications,  Fuzzy Sets and Systems, Image and Signal Analysis, Image Processing, Mechanics, Mechatronics, Motor Control and Human Movement Analysis, Nonlinear Dynamics, Partial Differential Equations, Robotics, Acoustics, Vibration and Control, and Wavelets.

Design-based online teacher professional development to introduce integration of STEM in Pakistan

Science.gov (United States)

Anwar, Tasneem

In today's global society where innovations spread rapidly, the escalating focus on science, technology, engineering and mathematics (STEM) has quickly intensified in the United States, East Asia and much of Western Europe. Our ever-changing, increasingly global society faces many multidisciplinary problems, and many of the solutions require the integration of multiple science, technology, engineering, and mathematics (STEM) concepts. Thus, there is a critical need to explore the integration of STEM subjects in international education contexts. This dissertation study examined the exploration of integration of STEM in the unique context of Pakistan. This study used three-phase design-based methodological framework derived from McKenney and Reeves (2012) to explore the development of a STEM focused online teacher professional development (oTPD-STEM) and to identify the design features that facilitate teacher learning. The oTPD-STEM program was designed to facilitate eight Pakistani elementary school teachers' exploration of the new idea of STEM integration through both practical and theoretical considerations. This design-based study employed inductive analysis (Strauss and Corbin, 1998) to analyze multiple data sources of interviews, STEM perception responses, reflective learning team conversations, pre-post surveys and artifacts produced in oTPD-STEM. Findings of this study are presented as: (1) design-based decisions for oTPD-STEM, and (2) evolution in understanding of STEM by sharing participant teachers' STEM model for Pakistani context. This study advocates for the potential of school-wide oTPD for interdisciplinary collaboration through support for learner-centered practices.

Does Applied STEM Course Taking Link to STEM Outcomes for High School Students With Learning Disabilities?

Science.gov (United States)

Gottfried, Michael A; Sublett, Cameron

Over the most recent two decades, federal policy has urged high schools to embed applied science, technology, engineering, and mathematics (STEM) courses into the curriculum to reinforce concepts learned in traditional math and science classes as well as to motivate students' interests and long-term pursuits in STEM areas. While prior research has examined whether these courses link to STEM persistence for the general student population, no work has examined the role of these courses for students with learning disabilities (LDs). This is a critical lapse, as these courses have been supported as being one path by which STEM material can become more accessible for students with diverse learning needs. Hence, this descriptive study examines the landscape of applied STEM course taking for students with LDs. The findings suggest students with LDs are less likely to take applied STEM courses in high school compared to the general population. Additionally, while the general population does benefit from taking these courses, there is a unique association between applied STEM course taking and advanced math and science course taking or math achievement for students with LDs. Hence, there is no evidence that applied STEM course taking is related to any closure of the STEM achievement gap for students with LDs.

Topics in the Foundations of General Relativity and Newtonian Gravitation Theory

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Malament, David B

2012-01-01

In Topics in the Foundations of General Relativity and Newtonian Gravitation Theory, David B. Malament presents the basic logical-mathematical structure of general relativity and considers a number of special topics concerning the foundations of general relativity and its relation to Newtonian gravitation theory. These special topics include the geometrized formulation of Newtonian theory (also known as Newton-Cartan theory), the concept of rotation in general relativity, and Gödel spacetime. One of the highlights of the book is a no-go theorem that can be understood to show that there is

Exploring Earth Systems Through STEM

Science.gov (United States)

Chen, Loris; Salmon, Jennifer; Burns, Courtney

2015-04-01

During the 2010 school year, grade 8 science teachers at Dwight D. Eisenhower Middle School in Wyckoff, New Jersey, began using the draft of A Framework for K-12 Science Education to transition to the Next Generation Science Standards. In an evolutionary process of testing and revising, teachers work collaboratively to develop problem-based science, technology, engineering, and mathematics (STEM) units that integrate earth science, physical science, and life science topics. Students explore the interconnections of Earth's atmosphere, lithosphere, hydrosphere, and biosphere through problem-based learning. Problem-based learning engages students in (1) direct observations in the field and classroom, (2) collection and analysis of data from remote sensors and hand-held sensors, and (3) analysis of physical, mathematical, and virtual models. Students use a variety of technologies and applications in their investigations, for example iPad apps, Google Classroom, and Vernier sensors. Data from NASA, NOAA, non-government organizations, and scientific research papers inspire student questions and spark investigations. Teachers create materials and websites to support student learning. Teachers curate reading, video, simulations, and other Internet resources for students. Because curriculum is standards-based as opposed to textbook-based, teacher participation in workshops and institutes frequently translates into new or improved study units. Recent programs include Toyota International Teacher Program to Costa Rica, Japan Society Going Global, Siemens STEM Academy, U.S. Naval Academy SET Sail, and NJSTA Maitland P. Simmons Memorial Award Summer Institute. Unit themes include weather and climate, introduction to general chemistry and biochemistry, and cells and heredity. Each if the three 12-week units has embedded engineering challenges inspired by current events, community needs, and/or the work of scientists. The unit segments begin with a problem, progress to

Profile of Pre-Service Science Teachers Based on STEM Career Interest Survey

Science.gov (United States)

Winarno, N.; Widodo, A.; Rusdiana, D.; Rochintaniawati, D.; Afifah, R. M. A.

2017-09-01

This study aims to investigate the profile of pre-service science teachers based on STEM (Science, Technology, Engineering, and Mathematics) Career Interest Survey. The study uses descriptive survey method as the research design. Samples collected from 66 preservice science teachers in a university located in Bandung, Indonesia. The results of the study are the profile of pre-service science teachers based on STEM Career Interest Survey shows that the average number of career interest in the field of technology is 4.08, in science 3.80, mathematics 3.39 and engineering 3.30. Pre-service science teachers are found to have interests in the STEM career fields. This research is necessary as there are many instances of people choosing majors or studies that are not in accordance with their interests and talents. The recommendation of this study is to develop learning in pre-service science teachers by using STEM approach.

Exploring mathematics problem-solving and proof

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Grieser, Daniel

2018-01-01

Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics. Readers will not only learn strategies for solving problems and logical reasoning, but they will also learn about the importance of proofs and various proof techniques. Other topics covered include recursion, mathematical induction, graphs, counting, elementary number theory, and the pigeonhole, extremal and invariance principles. Designed to help students make the transition from secondary school to university level, this book provides readers with a refreshing look at mathematics and deep insights into universal principles that are valuable far beyond the scope of this book. Aimed especially at undergraduate and secondary school students as well as teachers, this book will appeal to anyone interested in mathematics. Only basic secondary school mathematics is requi...

Characteristics and Effects of a Statewide STEM Program

Directory of Open Access Journals (Sweden)

Jeffrey D. Weld

2015-10-01

Full Text Available A comprehensive statewide STEM (science, technology, engineering, mathematics reform initiative enters its fifth year in the U.S. state of Iowa. A significant proportion of the state’s pre K-12 students and teachers participate in one or more of the twenty programs offered, ranging from classroom curricular innovations to teacher professional development, and from community STEM festivals to career exploration events. An external, inter-university evaluation consortium measures annual progress of the initiative through the Iowa STEM Monitoring Project. Results show citizens to be increasingly aware of and supporting of STEM education; students to be increasingly interested in STEM as well as outperforming nonparticipating peers on state math and science tests; and teachers more confident and knowledgeable in teaching STEM. Iowa’s STEM initiative has garnered national acclaim though challenges remain with regard to expanding the participation of learners of diversity, as well as ensuring the long-term sustainability of the programs and structures that define Iowa’s statewide STEM initiative.

Roads to infinity the mathematics of truth and proof

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Stillwell, John C

2010-01-01

Winner of a CHOICE Outstanding Academic Title Award for 2011!This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is historical and partly informal, but with due attention to the subtleties of the subject. Ideas are shown to evolve from natural mathematical questions about the nature of infinity and the nature of proof, set against a background of broader questions

Going beyond Fun in STEM

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Pittinsky, Todd L.; Diamante, Nicole

2015-01-01

The United States education system must improve its ability to produce scientists, engineers, and programmers. Despite numerous national, state, and local efforts to make the study of STEM (science, technology, engineering, and mathematics) subjects more fun in K-12, initial interest in those subjects drops off precipitously in middle and later…

Bioinspiring an Interest in STEM

Science.gov (United States)

Laut, Jeffrey; Bartolini, Tiziana; Porfiri, Maurizio

2015-01-01

Attracting K-12 students to pursue careers in science, technology, engineering, and mathematics (STEM) is viewed as a critical element for benefiting both the economy and society. This paper describes an outreach program, conducted in a Brooklyn, New York, USA, public middle school, aimed at educating students in mechatronics, biology, and…

Women's Leadership in Science, Technology, Engineering and Mathematics: Barriers to Participation

Science.gov (United States)

McCullough, Laura

2011-01-01

Despite gains overall, women are still under-represented in leadership positions in science, technology, engineering, and mathematics (STEM) fields. Data in the US suggest around one-quarter of deans and department heads are women; in science this drops to nearly 1 in 20. Part of this problem of under-representation stems from the population pool:…

College Students' Views of Work-Life Balance in STEM Research Careers: Addressing Negative Preconceptions.

Science.gov (United States)

Tan-Wilson, Anna; Stamp, Nancy

2015-01-01

In career discussions, female undergraduates said that if they were to attend graduate school in science, technology, engineering, and mathematics (STEM) and were to follow a career based on their research training, they would have to give up having a family. A subsequent survey showed that many students, both men and women, thought work-life balance would be more difficult to achieve in a STEM research path than in other professions they were considering. Their views of STEM research being less family-friendly were more pronounced on issues of parental leaves and caring for children than finding a spouse/partner and landing two jobs in the same locality. To provide role models of work-life balance in STEM professions, we convened panels of dual-career couples who described how they worked together to raise their children while advancing their scientific careers. Our selection of panelists and topics of discussion were based on findings of social science research on work-life balance. On a survey with the same questions administered afterward, the changes in paired responses of male and female students with respect to all four issues showed a significant shift toward thinking that a research-based STEM career would be no more difficult than other careers they were considering. © 2015 A. Tan-Wilson and N. Stamp. et al. CBE—Life Sciences Education © 2015 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).

A refresher course in mathematics

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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 course of higher mathematics

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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

A history of Japanese mathematics

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Smith, David E

2004-01-01

One of the first books to show Westerners the nature of Japanese mathematics, this survey highlights the leading features in the development of the wasan, the Japanese system of mathematics. Topics include the use of the soroban, or abacus; the application of sangi, or counting rods, to algebra; the discoveries of the 17th-century sage Seki Kowa; the yenri, or circle principle; the work of 18th-century geometer Ajima Chokuyen; and Wada Nei's contributions to the understanding of hypotrochoids. Unabridged republication of the classic 1914 edition. 74 figures. Index.

Aspects of Mathematical Modelling Applications in Science, Medicine, Economics and Management

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Hosking, Roger J

2008-01-01

The construction of mathematical models is an essential scientific activity. Mathematics has long been associated with developments in the exact sciences and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in many other fields. The contributors to this book demonstrate the application of mathematics to modern research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.

Technology-integrated Mathematics Education at the Secondary School Level

Directory of Open Access Journals (Sweden)

Hamdi Serin

2017-06-01

Full Text Available The potential of technological devices to enrich learning and teaching of Mathematics has been widely recognized recently. This study is founded on a case study that investigates how technology-related Mathematics teaching can enhance learning of Mathematical topics. The findings indicate that when teachers integrate technology into their teaching practices, students’ learning of Mathematics is significantly promoted. It was seen that the use of effective presentations through technological devices highly motivated the students and improved their mathematics achievement. This highlights that the availability of technological devices, teacher beliefs, easy access to resources and most importantly teacher skills of using technological devices effectively are decisive factors that can provide learners better understanding of mathematical concepts.

User Participation and Participatory Design: Topics in Computing Education.

Science.gov (United States)

Kautz, Karlheinz

1996-01-01

Discusses user participation and participatory design in the context of formal education for computing professionals. Topics include the current curriculum debate; mathematical- and engineering-based education; traditional system-development training; and an example of a course program that includes computers and society, and prototyping. (53…

Effect of Out-of-School Time STEM Education Programs: Implications for Policy

Science.gov (United States)

Talbot, Harry A.

Today's world requires greater STEM knowledge for employment and understanding of emerging issues. A predicted 3 million jobs will be created in STEM-related fields but the percentage of earned STEM-related degrees is diminishing. A lack of progress in STEM education for American students is most pronounced among females who make up 48% of the workforce and 24% of STEM employees. A lack of STEM interest among students is compounded by limited time in the school day for STEM topics, lack of teacher confidence in teaching STEM, and a lack of professional development. This study examines the impact of Out-of-School-Time (OST) programs on knowledge acquisition and attitudes toward STEM topics by gender. Program content was delivered by undergraduate pre-teacher candidates and undergraduate STEM majors, using a structured, hands-on engineering program developed for the National Aeronautics and Space Administration (NASA). Monthly professional development was provided to OST staff by NASA content specialists and instructors from Fresno State University. A repeated-measures design analyzed group differences across three points in time: prior to the start of instruction (pretest), immediately following the end of instruction (posttest), and 60 days following (post posttest). A within-group comparison measured posttest and post-post-test changes for each gender. Program students included in the study participated for at least 12 of the 24 program hours offered and completed all three assessments. The findings showed that STEM knowledge acquisition advanced at similar levels for both genders. These results were consistent with the existing research. Findings related to attitudes toward STEM topics showed that female students did not change over time but males students' interest lessened over time. These findings did not support the current research in this area. Recommendations for practice include developing programs that focus on gender differentiated learning styles

The mathematics of elections and voting

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Wallis, W D

2014-01-01

The Mathematics of Elections and Voting  takes an in-depth look at the mathematics in the context of voting and electoral systems, with focus on simple ballots, complex elections, fairness, approval voting, ties, fair and unfair voting, and manipulation techniques. The exposition opens with a sketch of the mathematics behind the various methods used in conducting elections. The reader is lead to a comprehensive picture of the theoretical background of mathematics and elections through an analysis of Condorcet’s Principle and Arrow’s Theorem of conditions in electoral fairness. Further detailed discussion of various related topics include: methods of manipulating the outcome of an election, amendments, and voting on small committees. In recent years, electoral theory has been introduced into lower-level mathematics courses, as a way to illustrate the role of mathematics in our everyday life.  Few books have studied voting and elections from a more formal mathematical viewpoint.  This text wi...

Differential geometry and mathematical physics

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Rudolph, Gerd

Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous d...

ECMOR 4. 4th European conference on the mathematics of oil recovery. Topic B: Heterogeneity description and assessment of uncertainty. Proceedings

Energy Technology Data Exchange (ETDEWEB)

1994-01-01

The report with collected proceedings from a conference, deals with mathematics of oil recovery with the focus on heterogeneity description and assessment of uncertainty. Topics of proceedings are as follow: Reservoir engineering and uncertainty - how much we know about what we don't know; sampling from Bayesian models in reservoir characterization; improvement in the truncated Gaussian method - combining several Gaussian functions; Levy stochastic model for the variations in the properties in sedimentary rock; modelling sub-seismic fault patterns using a marked point process; marked point models with complex conditioning used for modelling of shales; integration of large- and small-scale data using Fourier transforms; ranking of production performance from detailed geological models; direct solution reservoir flow equations with uncertain parameters. Nine papers are prepared. 83 refs., 58 figs., 1 tab.

Engaging learners in STEM education

Directory of Open Access Journals (Sweden)

Joseph Krajcik

2017-04-01

Full Text Available In this manuscript we focus on how to develop STEM learning environments, and how STEM can be implemented in K-12 schools. We focus on the following question: “How can we support students in building a deep, integrated knowledge of STEM so that they have the practical knowledge and problem solving skills necessary to live in and improve the world?” We also discuss criteria for evaluating STEM learning environments and the challenges teachers face in implementing STEM. We define STEM as the integration of science, engineering, technology, and mathematics to focus on solving pressing individual and societal problems. Engaging students in STEM also means engaging learners in the design process. Design is integral to student thinking in the STEM world. The design process is very non-linear and iterative in its nature but requires clearly articulating and identifying the design problem, researching what is known about the problem, generating potential solutions, developing prototype designs (artifacts that demonstrate solutions, and sharing and receiving feedback. With the integration of design, STEM education has the potential to support students in learning big ideas in science and engineering, as well as important scientific and engineering practices, and support students in developing important motivational outcomes such as ownership, agency and efficacy. Moreover, students who engage in STEM learning environments will also develop 21st century capabilities such as problem solving, communication, and collaboration skills.

Stem and ICT education in intelligent environments

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Kanematsu, Hideyuki

2016-01-01

This book combines information communication technology (ICT) with the creative interdisciplinary teaching approach known as STEM (science, technology, engineering, and mathematics). It introduces STEM and Creative Education and shows (through examples and creative activities) the importance and impact that ICT has for STEM and modern education.  The book describes the audio visual classroom, the use of the Internet, Social Networking and STEM, and provides STEM lessons for both the real and virtual worlds. Instructors will find this unique textbook to be very useful with students, of various ages, in creative education and engineering classes. This special book offers something for everyone. It serves as a guide for teachers in charge of science fairs and creative classes, especially those which require STEM education. It also includes activities to help develop creative thinking and problem-solving skills, and prepares students who plan to become teachers and mentors of the future. Readers in general can s...

Mathematical logic foundations for information science

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Li, Wei

2014-01-01

Mathematical logic is a branch of mathematics that takes axiom systems and mathematical proofs as its objects of study. This book shows how it can also provide a foundation for the development of information science and technology. The first five chapters systematically present the core topics of classical mathematical logic, including the syntax and models of first-order languages, formal inference systems, computability and representability, and Gödel’s theorems. The last five chapters present extensions and developments of classical mathematical logic, particularly the concepts of version sequences of formal theories and their limits, the system of revision calculus, proschemes (formal descriptions of proof methods and strategies) and their properties, and the theory of inductive inference. All of these themes contribute to a formal theory of axiomatization and its application to the process of developing information technology and scientific theories. The book also describes the paradigm of three kinds...

The therapeutic implications of plasticity of the cancer stem cell phenotype.

Directory of Open Access Journals (Sweden)

Kevin Leder

2010-12-01

Full Text Available The cancer stem cell hypothesis suggests that tumors contain a small population of cancer cells that have the ability to undergo symmetric self-renewing cell division. In tumors that follow this model, cancer stem cells produce various kinds of specified precursors that divide a limited number of times before terminally differentiating or undergoing apoptosis. As cells within the tumor mature, they become progressively more restricted in the cell types to which they can give rise. However, in some tumor types, the presence of certain extra- or intracellular signals can induce committed cancer progenitors to revert to a multipotential cancer stem cell state. In this paper, we design a novel mathematical model to investigate the dynamics of tumor progression in such situations, and study the implications of a reversible cancer stem cell phenotype for therapeutic interventions. We find that higher levels of dedifferentiation substantially reduce the effectiveness of therapy directed at cancer stem cells by leading to higher rates of resistance. We conclude that plasticity of the cancer stem cell phenotype is an important determinant of the prognosis of tumors. This model represents the first mathematical investigation of this tumor trait and contributes to a quantitative understanding of cancer.

Research Commentary: The Promise of Qualitative Metasynthesis for Mathematics Education

Science.gov (United States)

Thunder, Kateri; Berry, Robert Q., III.

2016-01-01

Mathematics education has benefited from qualitative methodological approaches over the past 40 years across diverse topics. Although the number, type, and quality of qualitative research studies in mathematics education has changed, little is known about how a collective body of qualitative research findings contributes to our understanding of a…

Basic engineering mathematics

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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...

Partial differential equations of mathematical physics

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Sobolev, S L

1964-01-01

Partial Differential Equations of Mathematical Physics emphasizes the study of second-order partial differential equations of mathematical physics, which is deemed as the foundation of investigations into waves, heat conduction, hydrodynamics, and other physical problems. The book discusses in detail a wide spectrum of topics related to partial differential equations, such as the theories of sets and of Lebesgue integration, integral equations, Green's function, and the proof of the Fourier method. Theoretical physicists, experimental physicists, mathematicians engaged in pure and applied math

International Conference on Advances in Applied Mathematics

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Hammami, Mohamed; Masmoudi, Afif

2015-01-01

This contributed volume presents some recent theoretical advances in mathematics and its applications in various areas of science and technology.   Written by internationally recognized scientists and researchers, the chapters in this book are based on talks given at the International Conference on Advances in Applied Mathematics (ICAAM), which took place December 16-19, 2013, in Hammamet, Tunisia.  Topics discussed at the conference included spectral theory, operator theory, optimization, numerical analysis, ordinary and partial differential equations, dynamical systems, control theory, probability, and statistics.  These proceedings aim to foster and develop further growth in all areas of applied mathematics.

Green Action through Education: A Model for Fostering Positive Attitudes about STEM

Science.gov (United States)

Wheland, Ethel R.; Donovan, William J.; Dukes, J. Thomas; Qammar, Helen K.; Smith, Gregory A.; Williams, Bonnie L.

2013-01-01

This paper describes an innovative collaboration between instructors of non-STEM (science, technology, engineering, and mathematics) courses and scientists who teach STEM courses in the GATE (Green Action Through Education) learning community. The scientists in this project presented engaging science--in such diverse locations as a sewage…

The Impact of STEM Outreach Programs in Addressing Teacher Efficacy and Broader Issues in STEM Education

Science.gov (United States)

Myszkal, Philip Ian

This study explores the potential of the Outreach Workshops in STEM (OWS) to affect Science, Technology, Engineering, and Mathematics (STEM) teachers' content knowledge, self-efficacy, and pedagogical approaches, as well as its viability as a potential form of professional development (PD). The data for the thesis is taken from a larger longitudinal study looking at the potential of OWS to influence middle school students' and teachers' attitudes and beliefs around STEM. The study employs a mixed-methods design, utilizing surveys, open-ended questions, interviews, and observations. The findings show that there were no significant changes in teachers' content knowledge, confidence, or pedagogical approaches. However, the majority of participants reported that they learned new teaching ideas and considered the workshops to be an effective PD opportunity.

Mathematical Systems Theory : from Behaviors to Nonlinear Control

CERN Document Server

Julius, A; Pasumarthy, Ramkrishna; Rapisarda, Paolo; Scherpen, Jacquelien

2015-01-01

This treatment of modern topics related to mathematical systems theory forms the proceedings of a workshop, Mathematical Systems Theory: From Behaviors to Nonlinear Control, held at the University of Groningen in July 2015. The workshop celebrated the work of Professors Arjan van der Schaft and Harry Trentelman, honouring their 60th Birthdays. The first volume of this two-volume work covers a variety of topics related to nonlinear and hybrid control systems. After giving a detailed account of the state of the art in the related topic, each chapter presents new results and discusses new directions. As such, this volume provides a broad picture of the theory of nonlinear and hybrid control systems for scientists and engineers with an interest in the interdisciplinary field of systems and control theory. The reader will benefit from the expert participants’ ideas on exciting new approaches to control and system theory and their predictions of future directions for the subject that were discussed at the worksho...

Methods of applied mathematics with a software overview

CERN Document Server

Davis, Jon H

2016-01-01

This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them. The text emphasizes the computational aspects of problem solving as well as the limitations and implicit assumptions inherent in the formal methods. Readers are also given a sense of the wide variety of problems in which the presented techniques are useful. Broadly organized around the theme of applied Fourier analysis, the treatment covers classical applications in partial differential equations and boundary value problems, and a substantial number of topics associated with Laplace, Fourier, and discrete transform theories. Some advanced topics are explored in the final chapters such as short-time Fourier analysis and geometrically based transforms applicable to boundary value problems. The topics covered are useful in a variety of applied fields such as continuum mechanics, mathematical physics, control theory, and si...

Effects of Participation in a STEM Camp on STEM Attitudes and Anticipated Career Choices of Middle School Girls: A Mixed Methods Study

Science.gov (United States)

Kager, Elisabeth

Middle school is a critical time for the development of girls' attitudes toward science, technology, engineering, and mathematics (STEM). Existing research has indicated declining positive attitudes toward these fields among girls throughout adolescence. This study investigated how, to what extent, and for whom participation in a summer STEM Camp at a Midwestern college in the United States affected the STEM attitudes and career aspirations of 23 female participants, ages 10-14 years. Using a concurrent triangulation design, the researcher collected pre- and post-questionnaire data (N = 20), interviewed participants (N = 9), read journal entries (N = 22), and wrote field notes. The researcher adapted the Fennema-Sherman Attitude Scales (FSAS) to measure five of the original nine attitude scales concerning STEM: Male Domain, Confidence, Usefulness, Success, and Motivation. In addition to these standardized, Likert-type scale questions, the questionnaire included demographic items to gauge participants' anticipated career choices and the level of STEM motivation (e.g., extracurricular activities and guardians' STEM involvement). The interview questions elicited information about the participants' Camp experiences and the Camp's influence on participants' attitudes and career aspirations. The journal prompts provoked participants to think about their perceptions of, and relationship with, science and mathematics as well as how supportive their parents and peers had been regarding these two fields. Participants' incoming STEM attitudes were positive. Accordingly, there was no statistically significant difference between pre- and post-scores of attitudes toward STEM. Nevertheless, qualitative results showed that the Camp did strengthen participants' positive attitudes through enthusiastic instructors, STEM-motivated peers, and hands-on activities that allowed for creative freedom. Participating in the STEM Camp challenged participants' prior career aspirations by

NASA Science4Girls: Engaging Girls in STEM at Their Local Library

Science.gov (United States)

Meinke, B.; Smith, D.; Bleacher, L.; Hauck, K.; Soeffing, C.; NASA SMD EPO Community

2014-07-01

The NASA Science Mission Directorate (SMD) Science Education and Public Outreach Forums coordinate the participation of SMD education and public outreach (EPO) programs in Women's History Month through the NASA Science4Girls and Their Families initiative. The initiative partners NASA science education programs with public libraries to provide NASA-themed hands-on education activities for girls and their families. The initiative has expanded from the successful 2012 Astro4Girls pilot to engage girls in all four NASA science discipline areas, which broadens the impact of the pilot by enabling audiences to experience the full range of NASA science topics and the different career skills each requires. The events focus on engaging underserved and underrepresented audiences in Science, Technology, Engineering, and Mathematics (STEM) via use of research-based best practices, collaborations with libraries, partnerships with local and national organizations, and remote engagement of audiences.