Sample records for advanced mathematics coursework
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Mathematics Coursework Regulates Growth in Mathematics Achievement
ERIC Educational Resources Information Center
Ma, Xin; Wilkins, Jesse L. M.
2007-01-01
Using data from the Longitudinal Study of American Youth (LSAY), we examined the extent to which students' mathematics coursework regulates (influences) the rate of growth in mathematics achievement during middle and high school. Graphical analysis showed that students who started middle school with higher achievement took individual mathematics…
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The Relationship between Self-Efficacy and Advanced STEM Coursework in Female Secondary Students
ERIC Educational Resources Information Center
Bernasconi, Bethany
2017-01-01
Despite years of attention, gender inequity persists in science, technology, engineering, and mathematics (STEM). Female STEM faculty, positive social interactions, and enrollment in advanced STEM secondary coursework are supportive factors in promoting female students' persistence in STEM fields. To address the gap in understanding these factors,…
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Coursework in Cognition by Mathematics Undergraduates: A Seven Year Review.
ERIC Educational Resources Information Center
Nelson, David
2000-01-01
It has become increasingly possible for mathematics students to include a limited number of approved optional, non-traditional modules in their programs. Surveys coursework in four non-specialist modules over a seven-year period, and examines work in the area of mathematical cognition. (Contains 16 references.) (Author/ASK)
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NASA Astrophysics Data System (ADS)
Vijil, Veronica G.
2011-12-01
An overall increased awareness of the importance of science, technology, engineering, and mathematics (STEM) has prompted attention toward the continued underrepresentation of Hispanic women in this field. The purpose of this collective case study was to explore the support systems, perceived barriers, and prior experiences influencing high school Hispanic girls' decisions to pursue advanced coursework and related careers through a career pathway in science, technology, engineering, and mathematics (STEM) areas. Specifically, participants were interviewed regarding their mathematics and science experiences in elementary and middle schools, as well as perceived supports and barriers to their choices to pursue STEM careers and advanced coursework. Results indicated that the participants linked their elementary and middle school experiences with their teachers rather than specific activities. Accolades such as certificates and good grades for academic achievement contributed to the girls' strong self-efficacy at an early age. The participants possessed self-discipline and self-confidence, using intrinsic motivation to pursue their goals. Support systems included families and a few teachers. Barriers were revealed in different forms including derogatory comments by boys in class, difficult curricula with limited tutors available for higher level courses, and receipt of financial assistance to attend a university of their choice.
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ERIC Educational Resources Information Center
Povey, Hilary
2006-01-01
GCSE (General Certificate of Secondary Education) Handling Data coursework should be a golden opportunity to engage students in meaningful "real-life" mathematics. The marking criteria for GCSE handling data coursework puts emphasis on students' ability to plan and carry out a statistical project and to make meaningful analysis of the…
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Advanced Coursework Rates by Ethnicity: An 11-Year, Statewide Analysis
ERIC Educational Resources Information Center
Fowler, Janis C.
2013-01-01
Purpose: The purpose of this study was to examine advanced coursework completion rates, Advanced Placement (AP)/International Baccalaureate (IB) testing rates, AP/IB exam passage rates, and the percentage of AP/IB exam scores at or above the criterion that may exist among Texas public high school students from 2001 to 2012 to ascertain (a) the…
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Accounting for Advanced High School Coursework in College Admission Decisions
ERIC Educational Resources Information Center
Sadler, Philip M.; Tai, Robert H.
2007-01-01
The purpose of the current study is to investigate the feasibility of accounting for student performance in advanced high school coursework through the adjustment of high school grade point average (HSGPA) while separating out variables that are independently considered in the admission process, e.g., SAT/ACT scores, community affluence, type of…
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A Comparison of Adolescents' Friendship Networks by Advanced Coursework Participation Status
ERIC Educational Resources Information Center
Barber, Carolyn; Wasson, Jillian Woodford
2015-01-01
Friendships serve as a source of support and as a context for developing social competence. Although advanced coursework may provide a unique context for the development of friendships, more research is needed to explore exactly what differences exist. Using the National Longitudinal Study of Adolescent Health and the Adolescent Health and…
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Shifrer, Dara; Callahan, Rebecca
2010-09-01
Students identified with learning disabilities experience markedly lower levels of science and mathematics achievement than students who are not identified with a learning disability. Seemingly compounding their disadvantage, students with learning disabilities also complete more credits in non-core coursework-traditionally considered non-academic coursework-than students who are not identified with a learning disability. The Education Longitudinal Study of 2002, a large national dataset with both regular and special education high school students, is utilized to determine whether credit accumulation in certain types of non-core coursework, such as Technology and Communications courses, is associated with improved science and math course-taking outcomes for students with learning disabilities. Results show that credit accumulation in Technology and Communications coursework uniquely benefits the science course-taking, and comparably benefits the math course-taking, of students identified with learning disabilities in contrast to students who are not identified with a learning disability.
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Profiling Student Use of Calculators in the Learning of High School Mathematics
ERIC Educational Resources Information Center
Crowe, Cheryll E.; Ma, Xin
2010-01-01
Using data from the 2005 National Assessment of Educational Progress, students' use of calculators in the learning of high school mathematics was profiled based on their family background, curriculum background, and advanced mathematics coursework. A statistical method new to educational research--classification and regression trees--was applied…
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Shifrer, Dara; Callahan, Rebecca
2016-01-01
Students identified with learning disabilities experience markedly lower levels of science and mathematics achievement than students who are not identified with a learning disability. Seemingly compounding their disadvantage, students with learning disabilities also complete more credits in non-core coursework—traditionally considered non-academic coursework—than students who are not identified with a learning disability. The Education Longitudinal Study of 2002, a large national dataset with both regular and special education high school students, is utilized to determine whether credit accumulation in certain types of non-core coursework, such as Technology and Communications courses, is associated with improved science and math course-taking outcomes for students with learning disabilities. Results show that credit accumulation in Technology and Communications coursework uniquely benefits the science course-taking, and comparably benefits the math course-taking, of students identified with learning disabilities in contrast to students who are not identified with a learning disability. PMID:27695150
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Supervised Coursework as a Way of Improving Motivation in the Learning of Digital Electronics
ERIC Educational Resources Information Center
Rengel, R.; Martin, M. J.; Vasallo, B. G.
2012-01-01
This paper presents a series of activities and educational strategies related to the teaching of digital electronics in computer engineering. The main objective of these methodologies was to develop a final tutored coursework to be carried out by the students in small teams. This coursework was conceived as consisting of advanced problems or small…
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Racial Discourse in Mathematics and Its Impact on Student Learning, Identity, and Participation
ERIC Educational Resources Information Center
Shah, Niral
2013-01-01
Discussions of race in educational research have focused primarily on performance gaps and differential access to advanced coursework. Thus, very little is known about how race mediates the learning process, particularly with respect to classroom participation and student identity formation. This dissertation examines mathematics learning as a…
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Racial Differences in Mathematics Test Scores for Advanced Mathematics Students
ERIC Educational Resources Information Center
Minor, Elizabeth Covay
2016-01-01
Research on achievement gaps has found that achievement gaps are larger for students who take advanced mathematics courses compared to students who do not. Focusing on the advanced mathematics student achievement gap, this study found that African American advanced mathematics students have significantly lower test scores and are less likely to be…
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Connecting Advanced and Secondary Mathematics
ERIC Educational Resources Information Center
Murray, Eileen; Baldinger, Erin; Wasserman, Nicholas; Broderick, Shawn; White, Diana
2017-01-01
There is an ongoing debate among scholars in understanding what mathematical knowledge secondary teachers should have in order to provide effective instruction. We explore connections between advanced and secondary mathematics as an entry point into this debate. In many cases, advanced mathematics is considered relevant for secondary teachers…
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ALA Library Schools and Subject Reference Coursework: A Short Communication
ERIC Educational Resources Information Center
Condic, Kristine
2016-01-01
Reference librarians are exposed to the literature of different disciplines in a number of ways including advanced degrees, on the job training, and intellectual inquisitiveness. As students, many reference librarians were also exposed to library science programs offering coursework specializing in information sources and research within other…
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The Role of Advanced High School Coursework in Increasing STEM Career Interest
ERIC Educational Resources Information Center
Sadler, Philip M.; Sonnert, Gerhard; Hazari, Zahra; Tai, Robert
2014-01-01
Several avenues are open to students who wish to study advanced science or mathematics in high school, which include Advanced Placement courses and teacher-designed courses unaffiliated with organized programs. We employ a retrospective cohort study of 4,691 nationally representative college students at 34 randomly selected, colleges and…
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Cognitive correlates of performance in advanced mathematics.
Wei, Wei; Yuan, Hongbo; Chen, Chuansheng; Zhou, Xinlin
2012-03-01
Much research has been devoted to understanding cognitive correlates of elementary mathematics performance, but little such research has been done for advanced mathematics (e.g., modern algebra, statistics, and mathematical logic). To promote mathematical knowledge among college students, it is necessary to understand what factors (including cognitive factors) are important for acquiring advanced mathematics. We recruited 80 undergraduates from four universities in Beijing. The current study investigated the associations between students' performance on a test of advanced mathematics and a battery of 17 cognitive tasks on basic numerical processing, complex numerical processing, spatial abilities, language abilities, and general cognitive processing. The results showed that spatial abilities were significantly correlated with performance in advanced mathematics after controlling for other factors. In addition, certain language abilities (i.e., comprehension of words and sentences) also made unique contributions. In contrast, basic numerical processing and computation were generally not correlated with performance in advanced mathematics. Results suggest that spatial abilities and language comprehension, but not basic numerical processing, may play an important role in advanced mathematics. These results are discussed in terms of their theoretical significance and practical implications. ©2011 The British Psychological Society.
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Advanced Mathematical Thinking
ERIC Educational Resources Information Center
Dubinsky, Ed; McDonald, Michael A.; Edwards, Barbara S.
2005-01-01
In this article we propose the following definition for advanced mathematical thinking: Thinking that requires deductive and rigorous reasoning about mathematical notions that are not entirely accessible to us through our five senses. We argue that this definition is not necessarily tied to a particular kind of educational experience; nor is it…
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ERIC Educational Resources Information Center
Lee, Kyeong-Hwa
2017-01-01
This study investigated how 38 secondary mathematics prospective teachers modified textbook tasks for convergent and divergent thinking while learning to teach mathematics during university coursework. The coursework focused prospective teachers' attention on their analyses of textbook tasks in terms of potential affordances and constraints for…
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ERIC Educational Resources Information Center
Sublett, Cameron; Plasman, Jay Stratte
2017-01-01
Over the past decade, CTE has been highlighted as a means of promoting college and career readiness for high school students. Applied STEM coursework is a promising area of high school study that has particular relevance in the technologically progressive world of today. Previous research has illustrated that applied STEM coursework in high school…
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ERIC Educational Resources Information Center
Harwell, Michael; Moreno, Mario; Post, Thomas
2016-01-01
This study examined the relationship between the American College Testing (ACT) college mathematics readiness standard and college mathematics achievement using a sample of students who met or exceeded the minimum 3 years high school mathematics coursework recommended by ACT. According to ACT, a student who scores 22 or higher on the ACT…
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Understanding Predictors of Enrollment in Advanced Placement (AP) Coursework among Latina/o Students
ERIC Educational Resources Information Center
Cavazos, Lionel Javier, Jr.
2012-01-01
The purpose of this study was to (a) determine the extent to which Latina/o students' perceptions of support from high school teachers and counselors, as well as acculturation, predict enrollment in AP coursework; (b) examine Latina/o students' perceptions of different forms of support that appear to play a role in academic success (Hassinger…
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Examining Mathematics Teacher Content Knowledge: Policy and Practice
ERIC Educational Resources Information Center
Esprivalo Harrell, Pamela; Eddy, Colleen McLean
2012-01-01
This study examines mathematics teacher content knowledge in terms of state and national policymaker recommendations, college coursework and the Mathematics Texas Examination of Educator Standards (TExES) score. Results indicate differences between state and national policy recommendations and college degrees in mathematics. A statistically…
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Collaboration, Collusion and Plagiarism in Computer Science Coursework
ERIC Educational Resources Information Center
Fraser, Robert
2014-01-01
We present an overview of the nature of academic dishonesty with respect to computer science coursework. We discuss the efficacy of various policies for collaboration with regard to student education, and we consider a number of strategies for mitigating dishonest behaviour on computer science coursework by addressing some common causes. Computer…
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Cognitive Correlates of Performance in Advanced Mathematics
ERIC Educational Resources Information Center
Wei, Wei; Yuan, Hongbo; Chen, Chuansheng; Zhou, Xinlin
2012-01-01
Background: Much research has been devoted to understanding cognitive correlates of elementary mathematics performance, but little such research has been done for advanced mathematics (e.g., modern algebra, statistics, and mathematical logic).Aims: To promote mathematical knowledge among college students, it is necessary to understand what factors…
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ERIC Educational Resources Information Center
Koichu, Boris
2010-01-01
This article discusses an issue of inserting mathematical knowledge within the problem-solving processes. Relatively advanced mathematical knowledge is defined in terms of "three mathematical worlds"; relatively advanced problem-solving behaviours are defined in terms of taxonomies of "proof schemes" and "heuristic behaviours". The relationships…
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Developing the Parameters of Scholarship in Postgraduate Coursework Studies
ERIC Educational Resources Information Center
McLay, Allan F.
2013-01-01
Scholarship parameters, in relation to postgraduate coursework studies, are developed against the expectations of the Boyer classifications of scholarship (Boyer, 1990) with particular emphasis on the role of minor thesis development. An example is presented in which postgraduate coursework students are required to undertake a three semester minor…
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ERIC Educational Resources Information Center
Hübner, Nicolas; Wille, Eike; Cambria, Jenna; Oschatz, Kerstin; Nagengast, Benjamin; Trautwein, Ulrich
2017-01-01
Math achievement, math self-concept, and vocational interests are critical predictors of STEM careers and are closely linked to high school coursework. Young women are less likely to choose advanced math courses in high school, and encouraging young women to enroll in advanced math courses may therefore bring more women into STEM careers. We…
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Back to the Future: A Return to Coursework Explored
ERIC Educational Resources Information Center
Marshall, Bethan
2012-01-01
This paper examines the King's Oxfordshire Assessment Project, which took place in the UK and explored the use of coursework as a means of terminal assessment. In particular, it considers the findings of the six English teachers who were involved. In a standards-based curriculum all six teachers supported 100% coursework. The paper looks at how,…
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Medical Humanities Coursework Is Associated with Greater Measured Empathy in Medical Students.
Graham, Jeremy; Benson, Lauren M; Swanson, Judy; Potyk, Darryl; Daratha, Kenn; Roberts, Ken
2016-12-01
The primary focus of the study was to determine whether coursework in the medical humanities would ameliorate students' loss of and failure to develop empathy, a problem known to be common during medical education. Students were offered an elective course in the Medical Humanities for academic credit. The Jefferson Scale of Empathy Student Version (JSE-S) was administered at the beginning and end of an academic year in which humanities courses were offered. Changes in JSE-S scores among students who studied Medical Humanities were compared with changes in student who did not take any humanities coursework. Medical humanities coursework correlated with superior empathy outcomes among the medical students. Of students not enrolled in humanities courses, 71% declined or failed to increase in JSE-S score over the academic year. Of those who took humanities coursework, 46% declined or failed to increase in JSE-S scores. The difference was statistically significant (P = .03). The medical humanities curriculum correlated with favorable empathy outcomes as measured by the JSE-S. Elective medical humanities coursework correlated with improved empathy score outcomes in a group of US medical students. This may reflect a direct effect of the humanities coursework. Alternately, students' elective choice to take medical humanities coursework may be a marker for students with a propensity to favorable empathy outcomes. Copyright © 2016 Elsevier Inc. All rights reserved.
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Why Do Students Drop Advanced Mathematics?
ERIC Educational Resources Information Center
Horn, Ilana
2004-01-01
Students, especially black, Latino and Native American youth and students of low socio-economic status drop out of advanced mathematics. Teachers must coordinate their expectations, their knowledge of students and their teaching practices in order to stop struggling students from dropping out of advanced math classes.
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ERIC Educational Resources Information Center
Fisher, P. Brian; McAdams, Erin
2015-01-01
Purpose: This paper aims to examine how both the amount and type of coursework impact students' conceptualizations of sustainability. Previous research demonstrates that academic coursework influences students' environmental attitudes, yet few studies have examined the impact of coursework on how students conceptualize "sustainability".…
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Advanced Placement and Rural Schools: Access, Success, and Exploring Alternatives
ERIC Educational Resources Information Center
Gagnon, Douglas J.; Mattingly, Marybeth J.
2016-01-01
Completing Advanced Placement (AP) coursework is an important part of the selective college admissions process, and access to AP coursework can be viewed as a measure of equal opportunity. Relatively little research has fully examined how access to AP coursework is mediated by school characteristics. Rural schools are at a particular disadvantage…
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Developing Indicators of Student Coursework.
ERIC Educational Resources Information Center
McDonnell, Lorraine M.; Ormseth, Tor
The School Reform Assessment (SRA) project began in 1987 with the objective of developing indicators of student coursework that reliably and validly measure this central feature of schooling, while remaining sensitive to major policy changes and the information needs of policymakers, and efficiently collecting and reporting data. This paper…
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Self-Assessment in Coursework Essays.
ERIC Educational Resources Information Center
Longhurst, Nigel; Norton, Lin S.
1997-01-01
Self-assessments of coursework essays were compared with tutor grades for 67 college students. Students could accurately assess their overall essay grades and could give an overall rank for deep processing, but when judging essays on individual criteria they were not so accurate when compared to tutor evaluations. (SLD)
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Engineering Mathematics Assessment Using "MapleTA"
ERIC Educational Resources Information Center
Jones, Ian S.
2008-01-01
The assessment of degree level engineering mathematics students using the computer-aided assessment package MapleTA is discussed. Experience of academic and practical issues for both online coursework and examination assessments is presented, hopefully benefiting other academics in this novel area of activity. (Contains 6 figures and 1 table.)
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Gestures and Insight in Advanced Mathematical Thinking
ERIC Educational Resources Information Center
Yoon, Caroline; Thomas, Michael O. J.; Dreyfus, Tommy
2011-01-01
What role do gestures play in advanced mathematical thinking? We argue that the role of gestures goes beyond merely communicating thought and supporting understanding--in some cases, gestures can help generate new mathematical insights. Gestures feature prominently in a case study of two participants working on a sequence of calculus activities.…
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A Systematic Analysis of Transition Coursework Required for Special Education Licensure
ERIC Educational Resources Information Center
Williams-Diehm, Kendra L.; Rowe, Dawn A.; Johnson, Margaret C.; Guilmeus, Jean Francois
2018-01-01
The field of secondary special education and transition has long advocated for quality training at the preservice level. However, transition-focused coursework is not required for all special education licensure programs. Licensure programs requiring this coursework do not cover all transition-related knowledge and skills needed for teachers to…
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ERIC Educational Resources Information Center
Hodges, Thomas E.; Hodge, Lynn Liao
2017-01-01
This article explores the personal identities of two prospective elementary teachers as they progressed from mathematics methods coursework into their capstone student teaching semester. Results indicate that both prospective teachers perceived contrasting obligations of effective mathematics teaching in the teacher education and student teaching…
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Adding structure to the transition process to advanced mathematical activity
NASA Astrophysics Data System (ADS)
Engelbrecht, Johann
2010-03-01
The transition process to advanced mathematical thinking is experienced as traumatic by many students. Experiences that students had of school mathematics differ greatly to what is expected from them at university. Success in school mathematics meant application of different methods to get an answer. Students are not familiar with logical deductive reasoning, required in advanced mathematics. It is necessary to assist students in this transition process, in moving from general to mathematical thinking. In this article some structure is suggested for this transition period. This essay is an argumentative exposition supported by personal experience and international literature. This makes this study theoretical rather than empirical.
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Teacher Leaders: Advancing Mathematics Learning
ERIC Educational Resources Information Center
Kinzer, Cathy J.; Rincón, Mari; Ward, Jana; Rincón, Ricardo; Gomez, Lesli
2014-01-01
Four elementary school instructors offer insights into their classrooms, their unique professional roles, and their leadership approaches as they reflect on their journey to advance teacher and student mathematics learning. They note a "teacher leader" serves as an example to other educators and strives to impact student learning;…
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Teacher Questioning and Invitations to Participate in Advanced Mathematics Lectures
ERIC Educational Resources Information Center
Paoletti, Teo; Krupnik, Victoria; Papadopoulos, Dimitrios; Olsen, Joseph; Fukawa-Connelly, Tim; Weber, Keith
2018-01-01
We were interested in exploring the extent to which advanced mathematics lecturers provide students with opportunities to play a role in considering or generating course content. To do this, we examined the questioning practices of 11 lecturers who taught advanced mathematics courses at the university level. Because we are unaware of other studies…
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Conditional Inference and Advanced Mathematical Study: Further Evidence
ERIC Educational Resources Information Center
Inglis, Matthew; Simpson, Adrian
2009-01-01
In this paper, we examine the support given for the "theory of formal discipline" by Inglis and Simpson (Educational Studies Mathematics 67:187-204, "2008"). This theory, which is widely accepted by mathematicians and curriculum bodies, suggests that the study of advanced mathematics develops general thinking skills and, in particular, conditional…
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Faculty Perceptions of Online Accounting Coursework
ERIC Educational Resources Information Center
Grossman, Amanda M.; Johnson, Leigh R.
2015-01-01
The perceptions of faculty members, who design and evaluate online accounting coursework content, are an important consideration in determining the quality inherent in such content. This study reports the results of a survey which examines accounting faculty members' attitudes towards online education (measured as their willingness to accept…
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Social Capital, Information, and Socioeconomic Disparities in Math Coursework
Crosnoe, Robert; Schneider, Barbara
2011-01-01
Analysis of the National Education Longitudinal Study revealed that socioeconomically advantaged students persist in high school math at higher rates than their disadvantaged peers, even when they have the same initial placements and skill levels. These disparities are larger among students with prior records of low academic status because students from more privileged backgrounds persist in math coursework even when their prior performance predicts they will not. Among students with low middle school math performance, those from socioeconomically disadvantaged families appear to benefit from having consultants for coursework decisions, so that they make up ground with their socioeconomically advantaged peers. PMID:21743762
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Structural and Conceptual Interweaving of Mathematics Methods Coursework and Field Practica
ERIC Educational Resources Information Center
Bahr, Damon L.; Monroe, Eula Ewing; Eggett, Dennis
2014-01-01
This paper describes a study of observed relationships between the design of a preservice elementary mathematics methods course with accompanying field practicum and changes in the extent to which participating prospective teachers identified themselves with the mathematics reform movement after becoming practicing teachers. The curriculum of the…
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The Path to College Calculus: The Impact of High School Mathematics Coursework
ERIC Educational Resources Information Center
Sadler, Philip; Sonnert, Gerhard
2018-01-01
This study addresses a longstanding question among high school mathematics teachers and college mathematics professors: Which is the best preparation for college calculus-- (a) a high level of mastery of mathematics considered preparatory for calculus (algebra, geometry, precalculus) or (b) taking calculus itself in high school? We used a data set…
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Reassessing the Economic Value of Advanced Level Mathematics
ERIC Educational Resources Information Center
Adkins, Michael; Noyes, Andrew
2016-01-01
In the late 1990s, the economic return to Advanced level (A-level) mathematics was examined. The analysis was based upon a series of log-linear models of earnings in the 1958 National Child Development Survey (NCDS) and the National Survey of 1980 Graduates and Diplomates. The core finding was that A-level mathematics had a unique earnings premium…
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ERIC Educational Resources Information Center
Pike, Gary R.; Phillippi, Raymond H.
1989-01-01
Measures of student achievement must be linked to the characteristics of academic programs. The Differential Coursework Patterns Project at Iowa State University was used by the University of Tennessee at Knoxville as a method of linking outcome measures to program data. Results are discussed. (Author/MLW)
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Coursework for Promoting Teaching and Learning
ERIC Educational Resources Information Center
Kandamby, G. W. T. C.
2017-01-01
Teaching is to be amalgamated with learning environment where students attend work with interest. Coursework was designed and conducted for Quantity Surveying module from 2014 as a study and found that it has supported for promoting teaching and learning. It was revealed that encouragement made only for attendance is not sufficient to obtain high…
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Adding Structure to the Transition Process to Advanced Mathematical Activity
ERIC Educational Resources Information Center
Engelbrecht, Johann
2010-01-01
The transition process to advanced mathematical thinking is experienced as traumatic by many students. Experiences that students had of school mathematics differ greatly to what is expected from them at university. Success in school mathematics meant application of different methods to get an answer. Students are not familiar with logical…
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Undergraduate Coursework in Economics: A Survey Perspective
ERIC Educational Resources Information Center
Siegfried, John J.; Walstad, William B.
2014-01-01
Survey results from a large sample of economics departments describe offerings for principles courses, coursework requirements for economics majors, and program augmentations such as capstone courses, senior seminars, and honors programs. Findings are reported for all institutions, and institutions are subdivided into six different categories…
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Secondary School Advanced Mathematics, Chapter 3, Formal Geometry. Teacher's Commentary.
ERIC Educational Resources Information Center
Stanford Univ., CA. School Mathematics Study Group.
This manual was designed for use with the second of five texts in the Secondary School Advanced Mathematics (SSAM) series. Developed for students who have completed the Secondary School Mathematics (SSM) program and wish to continue their studies in mathematics, this series is designed to review, strengthen, and fill gaps in the material covered…
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ERIC Educational Resources Information Center
Li, Liang-Yi; Chen, Gwo-Dong
2009-01-01
Students can practice skills and acquire knowledge by doing coursework. However, in conventional coursework activities, each student is assigned the same exercises, without considering learners' diversity. Moreover, students typically have difficulty in receiving assistance for completing their exercises after class. Therefore, some students…
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Secondary School Advanced Mathematics, Chapter 3, Formal Geometry. Student's Text.
ERIC Educational Resources Information Center
Stanford Univ., CA. School Mathematics Study Group.
This text is the second of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. This volume is devoted to a rigorous development of theorems in plane geometry from 22…
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Beyond the Transcript: Factors Influencing the Pursuit of Science and Mathematics Coursework
ERIC Educational Resources Information Center
Haag, Susan; Megowan, Colleen
2012-01-01
The nation's middle schools suffer from a shortage of qualified science and mathematics teachers. To address this need, one university in the southwest has developed the Modeling Institute, a master's degree program for in-service elementary educators interested in teaching science and mathematics at the middle school level. Identifying the…
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ERIC Educational Resources Information Center
Bird, Katherine; Oppland-Cordell, Sarah; Hibdon, Joseph
2016-01-01
This paper describes the development, results, and future directions of the mathematics component of the EMERGE Summer Program at Northeastern Illinois University. Initiated summer 2014, EMERGE offered English and mathematics sessions for incoming freshmen. The mathematics session aimed to strengthen participants' mathematical foundations,…
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Secondary School Advanced Mathematics, Chapter 8, Systems of Equations. Teacher's Commentary.
ERIC Educational Resources Information Center
Stanford Univ., CA. School Mathematics Study Group.
This manual was designed for use with the last of five texts in the Secondary School Advanced Mathematics (SSAM) series. Developed for students who have completed the Secondary School Mathematics (SSM) program and wish to continue their studies in mathematics, this series is designed to review, strengthen, and fill gaps in the material covered in…
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Secondary School Advanced Mathematics, Chapter 8, Systems of Equations. Student's Text.
ERIC Educational Resources Information Center
Stanford Univ., CA. School Mathematics Study Group.
This text is the last of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. In this volume the solution of systems of linear and quadratic equations and inequalities in…
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Barriers to Advanced Placement for Latino Students at the High-School Level
ERIC Educational Resources Information Center
Walker, Susan A.; Pearsall, Laura D.
2012-01-01
In order to gain a better understanding about Latino student underrepresentation in advanced placement (AP) coursework, this investigation explored the factors that inhibit and/or encourage Latino student enrollment in AP coursework at one suburban public high school in the Western United States. Latino high-school students and their parents…
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Integrating Graduate Coursework to Prepare Alternatively Certified Teachers
ERIC Educational Resources Information Center
Heineke, Amy J.; Preach, Deborah
2013-01-01
In this article, we describe our innovative work as teacher educators to integrate coursework for alternatively certified teachers. Rather than maintain boundaries among individual courses for new elementary teachers, explicit connections support first-year teachers professional learning and aid in the immediate application to classroom practice.…
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Informal Content and Student Note-Taking in Advanced Mathematics Classes
ERIC Educational Resources Information Center
Fukawa-Connelly, Timothy; Weber, Keith; Mejía-Ramos, Juan Pablo
2017-01-01
This study investigates 3 hypotheses about proof-based mathematics instruction: (a) that lectures include informal content (ways of thinking and reasoning about advanced mathematics that are not captured by formal symbolic statements), (b) that informal content is usually presented orally but not written on the board, and (c) that students do not…
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General Chemistry Students' Goals for Chemistry Laboratory Coursework
ERIC Educational Resources Information Center
DeKorver, Brittland K.; Towns, Marcy H.
2015-01-01
Little research exists on college students' learning goals in chemistry, let alone specifically pertaining to laboratory coursework. Because students' learning goals are linked to achievement and dependent on context, research on students' goals in the laboratory context may lead to better understanding about the efficacy of lab curricula. This…
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Keyboarding Coursework and Employment, Earnings, and Educational Attainment.
ERIC Educational Resources Information Center
Hearn, James C.; And Others
1993-01-01
Survey data from 6,476 postsecondary students and 2,525 nonstudents were examined for postschool effects of student participation in typing and keyboarding coursework on employment, earnings, further education attainment, and related equity and cost-effectiveness issues. Results indicate significant positive effects on almost all aspects examined.…
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Teacher Views on the Effects of the Change from Coursework to Controlled Assessment in GCSEs
ERIC Educational Resources Information Center
Crisp, Victoria; Green, Sylvia
2013-01-01
When General Certificates of Secondary Education (GCSEs) were introduced in the late 1980s, coursework was included as a requirement in many subjects. Coursework was intended to help best represent students' attainments, but concerns about various issues (e.g., tasks becoming formulaic, authenticity of student work, workload) led to a review and…
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ERIC Educational Resources Information Center
Harwell, Michael R.; Medhanie, Amanuel; Post, Thomas R.; Norman, Ke; Dupuis, Danielle N.
2012-01-01
The purpose of this study was to examine the college mathematics achievement and course-taking of students at a large public research university who completed a commercially developed or standards-based (Core-Plus) high school mathematics curriculum, and who subsequently completed at least 2 college mathematics courses of difficulty level at or…
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The Impact of Advanced Curriculum on the Achievement of Mathematically Promising Elementary Students
ERIC Educational Resources Information Center
Gavin, M. Katherine; Casa, Tutita M.; Adelson, Jill L.; Carroll, Susan R.; Sheffield, Linda Jensen
2009-01-01
The primary aim of Project M[superscript 3]: Mentoring Mathematical Minds was to develop and field test advanced units for mathematically promising elementary students based on exemplary practices in gifted and mathematics education. This article describes the development of the units and reports on mathematics achievement results for students in…
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ERIC Educational Resources Information Center
Macugay, Eva B.; Bernardo, Allan B. I.
2013-01-01
Science coursework is an important element of the pre-service education of science teachers. In this study we test the hypothesis that more science coursework influences pedagogical beliefs of science teachers by studying the pedagogical beliefs of 305 Filipino science teachers. We compared pedagogical beliefs of primary school (less science…
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Where the girls aren't: High school girls and advanced placement physics enrollment
NASA Astrophysics Data System (ADS)
Barton, Susan O'brien
During the high school years, when many students first have some choice in course selection, research indicates that girls choose to enroll in more math and science courses, take more advanced placement courses, and take more honors courses in English, biology, chemistry, mathematics, and foreign languages than ever before. Yet, not only are boys more likely to take all of the three core science courses (biology, chemistry, and physics), boys enroll in advanced placement physics approximately three times as often as do girls. This study examines the perceptions, attitudes, and aspirations of thirty high school girls enrolled in senior-level science electives in an attempt to understand their high school science course choices, and what factors were influencing them. This is a qualitative investigation employing constructivist grounded theory methods. There are two main contributions of this study. First, it presents a new conceptual and analytical framework to investigate the problem of why some high school girls do not enroll in physics coursework. This framework is grounded in the data and is comprised of three existing feminist perspectives along the liberal/radical continuum of feminist thought. Second, this study illuminates a complex set of reasons why participants avoided high school physics (particularly advanced placement physics) coursework. These reasons emerged as three broad categories related to: (a) a lack of connectedness with physics curriculum and instruction; (b) prior negative experiences with physics and math classroom climates; and (c) future academic goals and career aspirations. Taken together, the findings of this study indicate that the problem of high school girls and physics enrollment---particularly advanced placement physics enrollment---is a problem that cannot be evaluated or considered from one perspective.
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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
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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
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Guidelines for Grades 9-12 Mathematics Curriculum. Toward Meeting Present and Future Needs.
ERIC Educational Resources Information Center
Peterson, Wayne, Ed.
Three sequences of coursework are detailed in the curriculum development guidelines provided in this document. The 4-year sequence, structured around problem-solving, applications, and the acquisition of theory, is designed for the college-bound student who plans to enter a mathematics-based field of study. The 3-year sequence is designed for…
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Advanced Mathematics 305--Optional Half Credit. Interim Guide.
ERIC Educational Resources Information Center
Manitoba Dept. of Education, Winnipeg.
This manual outlines an advanced mathematics course for secondary school students in Manitoba (Canada). Included are eight different topics for a total of ten modules, with each module accounting for 18 40-minute periods. Teachers, or teachers and students cooperatively, should select the equivalent of five modules from the eight topics covered.…
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Advanced mathematics communication beyond modality of\\xA0sight
NASA Astrophysics Data System (ADS)
Sedaghatjou, Mina
2018-01-01
This study illustrates how mathematical communication and learning are inherently multimodal and embodied; hence, sight-disabled students are also able to conceptualize visuospatial information and mathematical concepts through tactile and auditory activities. Adapting a perceptuomotor integration approach, the study shows that the lack of access to visual fields in an advanced mathematics course does not obstruct a blind student's ability to visualize, but transforms it. The goal of this study is not to compare the visually impaired student with non-visually impaired students to address the 'differences' in understanding; instead, I discuss the challenges that a blind student, named Anthony, has encountered and the ways that we tackled those problems. I also demonstrate how the proper and precisely crafted tactile materials empowered Anthony to learn mathematical functions.
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ERIC Educational Resources Information Center
Neuman, Susan B.; Wright, Tanya S.
2010-01-01
This study examines the impact of 2 forms of professional development on prekindergarten teachers' early language and literacy practice: coursework and coaching. Participating teachers (N = 148) from 6 urban cities were randomly assigned to Group 1 (coursework), Group 2 (on-site coaching), or Group 3 (control group). Pre- and postassessments…
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Graduate Student Preferences for Practicing Faith in Online Coursework
ERIC Educational Resources Information Center
Yacapsin, M. S.
2014-01-01
The purpose of this investigation was to gain a better understanding of the expectations graduate students hold regarding the amount of and types of faith-related activities utilized in online coursework. Two groups of participants surveyed were enrolled at two different, faith-based institutions in Pennsylvania, United States; one a Catholic…
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Developing E-Government Coursework through the NASPAA Competencies Framework
ERIC Educational Resources Information Center
McQuiston, James M.; Manoharan, Aroon P.
2017-01-01
Information technology (IT) is often less emphasized in coursework related to public administration education, despite the growing need for technological capabilities in those joining the public sector workforce. This coupled with a lesser emphasis on e-government/IT skills by accreditation standards adds to the widening gap between theory and…
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Purvis, Caralyn J; McNeill, Brigid C; Everatt, John
2016-04-01
Low metalinguistic knowledge of pre-service and in-service teachers is likely to restrict the provision of evidence-based literacy instruction in the classroom. Despite such concerns, relatively few studies have examined the effects of teacher preparation coursework in building pre-service teachers' language structure knowledge. This study examined the effects of 7 h of language structure coursework, delivered over 7 weeks, on 121 New Zealand pre-service teachers in their initial year of study. Changes in participants' phonological awareness, morphological awareness, and orthographic knowledge were tracked across the teaching period. The impact of the coursework for participants who presented with strong spelling (n = 24) and poor spelling (n = 24) ability was also compared. The cohort demonstrated significant gains across all measures. Strong spellers responded more favourably to the teaching than poor spellers, even when accounting for initial levels of meta-linguistic knowledge. Implications for the development of teacher preparation programmes that enhance the provision of effective literacy instruction are discussed.
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Cooperative Learning in a Community College Setting: Developmental Coursework in Mathematics
ERIC Educational Resources Information Center
Rivera, Natalie
2013-01-01
This action research study, set in a community college in the southwestern United States, was designed to investigate the effects of implementing cooperative learning strategies in a developmental mathematics course. Introductory algebra was formerly taught in a lecture based format, and as such regularly had a low course completion rate. To…
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ERIC Educational Resources Information Center
Fouad, Nadya A.; Hackett, Gail; Smith, Philip L.; Kantamneni, Neeta; Fitzpatrick, Mary; Haag, Susan; Spencer, Dee
2010-01-01
This article presents three studies that provide an in-depth examination of STEM-related supports and barriers. These studies constructed an instrument to identify male and female perceptions of the barriers and supports for pursuing coursework and/or careers in mathematics and sciences domains; to pilot test and refine that instrument; and then…
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2016-01-01
Recent studies have highlighted the potential role of basic numerical processing in the acquisition of numerical and mathematical competences. However, it is debated whether high-level numerical skills and mathematics depends specifically on basic numerical representations. In this study mathematicians and nonmathematicians performed a basic number line task, which required mapping positive and negative numbers on a physical horizontal line, and has been shown to correlate with more advanced numerical abilities and mathematical achievement. We found that mathematicians were more accurate compared with nonmathematicians when mapping positive, but not negative numbers, which are considered numerical primitives and cultural artifacts, respectively. Moreover, performance on positive number mapping could predict whether one is a mathematician or not, and was mediated by more advanced mathematical skills. This finding might suggest a link between basic and advanced mathematical skills. However, when we included visuospatial skills, as measured by block design subtest, the mediation analysis revealed that the relation between the performance in the number line task and the group membership was explained by non-numerical visuospatial skills. These results demonstrate that relation between basic, even specific, numerical skills and advanced mathematical achievement can be artifactual and explained by visuospatial processing. PMID:26913930
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Origins of the brain networks for advanced mathematics in expert mathematicians
Amalric, Marie; Dehaene, Stanislas
2016-01-01
The origins of human abilities for mathematics are debated: Some theories suggest that they are founded upon evolutionarily ancient brain circuits for number and space and others that they are grounded in language competence. To evaluate what brain systems underlie higher mathematics, we scanned professional mathematicians and mathematically naive subjects of equal academic standing as they evaluated the truth of advanced mathematical and nonmathematical statements. In professional mathematicians only, mathematical statements, whether in algebra, analysis, topology or geometry, activated a reproducible set of bilateral frontal, Intraparietal, and ventrolateral temporal regions. Crucially, these activations spared areas related to language and to general-knowledge semantics. Rather, mathematical judgments were related to an amplification of brain activity at sites that are activated by numbers and formulas in nonmathematicians, with a corresponding reduction in nearby face responses. The evidence suggests that high-level mathematical expertise and basic number sense share common roots in a nonlinguistic brain circuit. PMID:27071124
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Origins of the brain networks for advanced mathematics in expert mathematicians.
Amalric, Marie; Dehaene, Stanislas
2016-05-03
The origins of human abilities for mathematics are debated: Some theories suggest that they are founded upon evolutionarily ancient brain circuits for number and space and others that they are grounded in language competence. To evaluate what brain systems underlie higher mathematics, we scanned professional mathematicians and mathematically naive subjects of equal academic standing as they evaluated the truth of advanced mathematical and nonmathematical statements. In professional mathematicians only, mathematical statements, whether in algebra, analysis, topology or geometry, activated a reproducible set of bilateral frontal, Intraparietal, and ventrolateral temporal regions. Crucially, these activations spared areas related to language and to general-knowledge semantics. Rather, mathematical judgments were related to an amplification of brain activity at sites that are activated by numbers and formulas in nonmathematicians, with a corresponding reduction in nearby face responses. The evidence suggests that high-level mathematical expertise and basic number sense share common roots in a nonlinguistic brain circuit.
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Using Extension Fieldwork to Incorporate Experiential Learning into University Coursework
ERIC Educational Resources Information Center
Curtis, Kynda; Mahon, Jennifer
2010-01-01
This article presents a strategy for incorporating experiential learning into university coursework through the use of Extension fieldwork projects. In this case, undergraduate agribusiness management students construct business plans for primary agricultural industries and proposed new industries, such as food processing. Results of the study…
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Exhaustion in University Students and the Effect of Coursework Involvement
ERIC Educational Resources Information Center
Law, Daniel W.
2007-01-01
Although researchers have examined exhaustion extensively in occupational studies, this work-specific variable--despite its widespread acceptance and negative outcomes--has received little attention in regard to university students and their coursework. Objective: The author examined the severity of exhaustion in students and the relationship…
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ERIC Educational Resources Information Center
Weber, Keith
2009-01-01
This paper presents a case study of a highly successful student whose exploration of an advanced mathematical concept relies predominantly on syntactic reasoning, such as developing formal representations of mathematical ideas and making logical deductions. This student is observed as he learns a new mathematical concept and then completes…
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ERIC Educational Resources Information Center
Travers, Steven T.
2017-01-01
Many developmental mathematics programs at community colleges in recent years have undergone a process of redesign in an attempt increase the historical poor rate of student successful completion of required developmental coursework. Various curriculum and instructional design models that incorporate methods of avoiding and accelerating the…
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Computer programming in the UK undergraduate mathematics curriculum
NASA Astrophysics Data System (ADS)
Sangwin, Christopher J.; O'Toole, Claire
2017-11-01
This paper reports a study which investigated the extent to which undergraduate mathematics students in the United Kingdom are currently taught to programme a computer as a core part of their mathematics degree programme. We undertook an online survey, with significant follow-up correspondence, to gather data on current curricula and received replies from 46 (63%) of the departments who teach a BSc mathematics degree. We found that 78% of BSc degree courses in mathematics included computer programming in a compulsory module but 11% of mathematics degree programmes do not teach programming to all their undergraduate mathematics students. In 2016, programming is most commonly taught to undergraduate mathematics students through imperative languages, notably MATLAB, using numerical analysis as the underlying (or parallel) mathematical subject matter. Statistics is a very popular choice in optional courses, using the package R. Computer algebra systems appear to be significantly less popular for compulsory first-year courses than a decade ago, and there was no mention of logic programming, functional programming or automatic theorem proving software. The modal form of assessment of computing modules is entirely by coursework (i.e. no examination).
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How High School Coursework Predicts Introductory College-Level Course Success
ERIC Educational Resources Information Center
Woods, Chenoa S.; Park, Toby; Hu, Shouping; Betrand Jones, Tamara
2018-01-01
Objective: In recent years, developmental education (DE) reform has led to a restructuring of the placement process, redesigning of course instructional modalities, or implementing student support services to supplement developmental coursework. In Florida, recent legislative changes allowed students to opt out of placement testing and enroll…
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Some observations on the interdigitation of advances in medical science and mathematics.
Glamore, Michael James; West, James L; O'leary, James Patrick
2013-12-01
The immense advancement of our understanding of disease processes has not been a uniform progression related to the passage of time. Advances have been made in "lurches" and "catches" since the advent of the written word. There has been a remarkable interdependency between such advances in medicine and advances in mathematics that has proved beneficial to both. This work explores some of these critical relationships and documents how the individuals involved contributed to advances in each.
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Sella, Francesco; Sader, Elie; Lolliot, Simon; Cohen Kadosh, Roi
2016-09-01
Recent studies have highlighted the potential role of basic numerical processing in the acquisition of numerical and mathematical competences. However, it is debated whether high-level numerical skills and mathematics depends specifically on basic numerical representations. In this study mathematicians and nonmathematicians performed a basic number line task, which required mapping positive and negative numbers on a physical horizontal line, and has been shown to correlate with more advanced numerical abilities and mathematical achievement. We found that mathematicians were more accurate compared with nonmathematicians when mapping positive, but not negative numbers, which are considered numerical primitives and cultural artifacts, respectively. Moreover, performance on positive number mapping could predict whether one is a mathematician or not, and was mediated by more advanced mathematical skills. This finding might suggest a link between basic and advanced mathematical skills. However, when we included visuospatial skills, as measured by block design subtest, the mediation analysis revealed that the relation between the performance in the number line task and the group membership was explained by non-numerical visuospatial skills. These results demonstrate that relation between basic, even specific, numerical skills and advanced mathematical achievement can be artifactual and explained by visuospatial processing. (PsycINFO Database Record (c) 2016 APA, all rights reserved).
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Gender Differences in the Use and Benefit of Advanced Learning Technologies for Mathematics
ERIC Educational Resources Information Center
Arroyo, Ivon; Burleson, Winslow; Tai, Minghui; Muldner, Kasia; Woolf, Beverly Park
2013-01-01
We provide evidence of persistent gender effects for students using advanced adaptive technology while learning mathematics. This technology improves each gender's learning and affective predispositions toward mathematics, but specific features in the software help either female or male students. Gender differences were seen in the students' style…
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Advanced Mathematical Study and the Development of Conditional Reasoning Skills
Attridge, Nina; Inglis, Matthew
2013-01-01
Since the time of Plato, philosophers and educational policy-makers have assumed that the study of mathematics improves one's general ‘thinking skills’. Today, this argument, known as the ‘Theory of Formal Discipline’ is used in policy debates to prioritize mathematics in school curricula. But there is no strong research evidence which justifies it. We tested the Theory of Formal Discipline by tracking the development of conditional reasoning behavior in students studying post-compulsory mathematics compared to post-compulsory English literature. In line with the Theory of Formal Discipline, the mathematics students did develop their conditional reasoning to a greater extent than the literature students, despite them having received no explicit tuition in conditional logic. However, this development appeared to be towards the so-called defective conditional understanding, rather than the logically normative material conditional understanding. We conclude by arguing that Plato may have been correct to claim that studying advanced mathematics is associated with the development of logical reasoning skills, but that the nature of this development may be more complex than previously thought. PMID:23869241
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The Frequency of Assistant Principal Coursework in Educational Leadership Programs
ERIC Educational Resources Information Center
James, Stephanie
2017-01-01
The purpose of this study was to determine the extent to which the assistant principalship is addressed in educational leadership program curricula through coursework in state-approved programs operating in a southern state in the United States. A survey was administered to Educational Leadership program directors, and gaps were found between what…
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Upper-Level Undergraduate Chemistry Students' Goals for Their Laboratory Coursework
ERIC Educational Resources Information Center
DeKorver, Brittland K.; Towns, Marcy H.
2016-01-01
Efforts to reform undergraduate chemistry laboratory coursework typically focus on the curricula of introductory-level courses, while upper-level courses are bypassed. This study used video-stimulated recall to interview 17 junior- and senior- level chemistry majors after they carried out an experiment as part of a laboratory course. It is assumed…
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Innovations in Science and Mathematics Education: Advanced Designs for Technologies of Learning.
ERIC Educational Resources Information Center
Jacobson, Michael J., Ed.; Kozma, Robert B., Ed.
This collection of essays consists of current work that addresses the challenge not just to put the newest technologies in schools, but to identify advanced ways to design and use these new technologies to advance learning. These essays are intended for science and mathematics educators, educational and cognitive researchers, instructional…
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ERIC Educational Resources Information Center
Jung, Eunjoo; Jin, Bora
2015-01-01
Research on the role of play coursework in future professionals' integration of play in education is essential in the colleges where future professionals are trained. However, the literature on this topic is very thin. It remains unclear whether college coursework on children's play is related to students' intentions to integrate play in early…
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NASA Astrophysics Data System (ADS)
Ganikhodjaev, Nasir; Mukhamedov, Farrukh; Hee, Pah Chin
2013-04-01
The 4th International Conference on the Advancement of Science and Technology 2012 (iCAST 2012), with theme 'Contemporary Mathematics, Mathematical Physics and their Applications', took place in Kuantan, Malaysia, from Wednesday 7 to Friday 9 November 2012. The conference was attended by more than 100 participants, and hosted about 160 oral and poster papers by more than 140 pre-registered authors. The key topics of the 4th iCAST 2012 include Pure Mathematics, Applied Mathematics, Theoretical/Mathematical Physics, Dynamical Systems, Statistics and Financial Mathematics. The scientific program was rather full since after the Keynote and Invited Talks in the morning, four parallel sessions ran every day. However, according to all attendees, the program was excellent with a high level of talks and the scientific environment was fruitful; thus all attendees had a creative time. The conference aimed to promote the knowledge and development of high-quality research in mathematical fields concerned with the application of other scientific fields as well as modern technological trends in physics, chemistry, biology, medicine, economics, sociology and environmental sciences. We would like to thank the Keynote and the Invited Speakers for their significant contributions to 4th iCAST 2012. We would also like to thank the members of the International Scientific Committee and the members of the Organizing Committee. We cannot end without expressing our many thanks to International Islamic University Malaysia and our sponsors for their financial support . This volume presents selected papers which have been peer-reviewed. The editors hope that it may be useful and fruitful for scholars, researchers, and advanced technical members of the industrial laboratory facilities for developing new tools and products. Guest Editors Nasir Ganikhodjaev, Farrukh Mukhamedov and Pah Chin Hee The PDF contains the committee lists, board list and biographies of the plenary speakers.
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Advanced Algebra and Calculus. High School Mathematics Curricula. Instructor's Guide.
ERIC Educational Resources Information Center
Natour, Denise M.
This manual is an instructor's guide for the utilization of the "CCA High School Mathematics Curricula: Advanced Algebra and Calculus" courseware developed by the Computer-based Education Research Laboratory (CERL). The curriculum comprises 34 algebra lessons within 12 units and 15 calculus lessons that are computer-based and require…
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Undergraduate Science Coursework: Teachers' Goal Statements and How Students Experience Research
ERIC Educational Resources Information Center
Van der Rijst, Roeland M.; Visser-Wijnveen, Gerda J.; Verloop, Nico; Van Driel, Jan H.
2013-01-01
Understanding the relation between teachers' goal statements and students' experiences about the position of research in undergraduate coursework can give use insight into ways to integrate research and teaching and foster undergraduate research. In this study, we examined to what extent teachers' goal statements agreed with students' experiences…
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Family Matters: An Investigation of Family Coursework in School Counseling Programs
ERIC Educational Resources Information Center
Joe, J. Richelle; Harris, Pamela N.
2016-01-01
School counselors are expected to form collaborative relationships with the families of students. Yet, school counselors have limited knowledge about families to form these partnerships, as a descriptive content analysis of the family coursework requirements in CACREP-accredited school counseling programs in the southern region revealed that most…
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Advanced Placement Academy: Case Study of a Program within a School
ERIC Educational Resources Information Center
Swanson, Julie Dingle; Nagy, Steven
2014-01-01
The focus of this study was the first year of implementation of the Advanced Placement Academy (APA), a program within a high school providing honors and Advanced Placement coursework for high-ability African American students with previously limited access to rigorous courses. The qualitative investigation explores practical solutions from…
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ERIC Educational Resources Information Center
Jaffe, Louise
2014-01-01
The adoption and implementation of the Common Core State Standards and Smarter Balanced assessments in mathematics are intended to provide all students in California with the knowledge and skills required to transition from high school to college-level coursework. This implementation will take time. Concurrent with these efforts, policymakers and…
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HIDDEN DISPARITIES: HOW COURSES AND CURRICULA SHAPE OPPORTUNITIES IN MATHEMATICS DURING HIGH SCHOOL1
Schiller, Kathryn S.; Schmidt, William H.; Muller, Chandra; Houang, Richard
2011-01-01
Efforts to promote academic achievement by increasing access to courses, especially in mathematics, may mask educational disparities if variations in curriculum are not also monitored. A multi-dimensional description of students’ mathematics curricula during high school was obtained from analyses of surveys, transcripts, and textbooks collected for a nationally representative study of adolescents during the mid-1990s. Few gaps in the number of years or credits in mathematics coursework were found. However, the quantity and cognitive challenge of instructional materials in textbooks adopted for those courses differed significantly both across and within mathematics tracks. Differences in the quality of curriculum accumulating during high school were also related to parents’ education level. Reducing such gaps in learning opportunities would require teachers to supplement adopted instructional materials to ensure that all students receive a high quality mathematics curriculum. PMID:23554547
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Postgraduate Coursework in Australia: Issues Emerging from University and Industry Collaboration
ERIC Educational Resources Information Center
Forsyth, H.; Laxton, R.; Moran, C.; van der werf, J.; Banks, R.; Taylor, R.
2009-01-01
Coursework masters degrees in Australia have experienced rapid, decentralised growth since deregulation at the end of the 1980s. The result is an extraordinarily high level of diversity and some confusion as to standards, strategic positioning, purpose and educational approaches. Throughout this period of growth, a sense that large-scale (often…
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ERIC Educational Resources Information Center
Ihrig, Lori M.; Lane, Erin; Mahatmya, Duhita; Assouline, Susan G.
2018-01-01
High-achieving students in economically disadvantaged, rural schools lack access to advanced coursework necessary to pursue science, technology, engineering, and mathematics (STEM) educational and employment goals at the highest levels, contributing to the excellence gap. Out-of-school STEM programming offers one pathway to students' talent…
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Students' Attitudes toward a Group Coursework Protocol and Peer Assessment System
ERIC Educational Resources Information Center
Moraes, Caroline; Michaelidou, Nina; Canning, Louise
2016-01-01
This paper addresses a knowledge gap by presenting an empirical investigation of a group coursework protocol and peer assessment system (GCP&PAS) used in a UK university to support postgraduate marketing students in their assessed group activities. The aim of the research was to examine students' understanding of the GCP&PAS and their…
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ERIC Educational Resources Information Center
Wells, Trent; Perry, Dustin K.; Anderson, Ryan G.; Shultz, Matthew J.; Paulsen, Thomas H.
2013-01-01
Agricultural mechanics coursework has historically been considered an important and necessary construct of the secondary agricultural education curriculum (Burris, Robinson, & Terry, 2005). With expectations of offering secondary agricultural mechanics coursework apparent, it is vital that agricultural education teachers be prepared to address…
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ERIC Educational Resources Information Center
McKim, Aaron J.; Velez, Jonathan J.
2017-01-01
To extend current understanding of school-based agriculture teacher development, this study explored the relationship between teacher development experiences and the self-efficacy of early career agriculture teachers. Three teacher development experiences were of interest: (a) preservice coursework, (b) student teaching, and (c) professional…
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Pre-Service Elementary Education Teachers: An International Approach to Music Methods Coursework
ERIC Educational Resources Information Center
VanAlstine, Sharri Kay
2011-01-01
An internationalized approach will enable classroom teachers to confidently integrate music within their classroom content and pedagogical approach to teaching within an international framework. There has been no research, however, into an internationalized approach to instruction in the music methods coursework for pre-service elementary…
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NASA Astrophysics Data System (ADS)
Shuster, R. D.; Grandgenett, N.
2007-12-01
The University of Nebraska at Omaha has been a state leader in helping Nebraska teachers embrace earth systems science education, with a special emphasis in online coursework. UNO was one of the initial members in the Earth Systems Science Education Alliance (ESSEA) and has offered three different ESSEA courses, with a total of 167 students having taken ESSEA courses at UNO for graduate credit. UNO is currently involved in expanding its earth system science courses, modules, and educational research. We are also integrating these courses into several degree programs, including a Masters of Science in Education, a new Middle School Endorsement, a Certificate in Urban Education, and the Graduate Program for the Department of Geography/Geology. UNO is beginning to examine teacher content learning and science reasoning within its coursework. Feedback surveys from earlier ESSEA offerings already indicate a strongly positive perception of the courses by the teachers enrolled in the coursework. Project impact has been documented in teacher projects, quotes, and lessons associated with the coursework activities. We will describe the UNO earth system science efforts (emphasizing ESSEA coursework), and describe past efforts and teacher perceptions, as well as new strategies being undertaken to more closely examine content learning and science reasoning impact with course participants. We will also describe online course modules being developed within the UNO online course efforts, including one on the global amphibian crisis, and also the impact of urbanization on a local native prairie environment.
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The Effect of Special Education Coursework upon the Preparation of Preservice Teachers.
ERIC Educational Resources Information Center
Powers, P. J.
The free appropriate public education (FAPE) of handicapped learners in the least restrictive environment as well as the Regular Education Initiative (REI) have resulted in many states requiring introductory level special education coursework for all preservice teacher education. This study was conducted to determine if minimally required…
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ERIC Educational Resources Information Center
O'Neill, Sue; Stephenson, Jennifer
2012-01-01
There has been conjecture that completing focused coursework units on classroom management during pre-service teacher preparation might lead to increased feelings of preparedness and confidence. This study reports the preparedness in managing specific problem behaviours, familiarity, and confidence in using management strategies and models of…
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ERIC Educational Resources Information Center
Cobbs, Joyce Bernice
2014-01-01
The literature on minority student achievement indicates that Black students are underrepresented in advanced mathematics courses. Advanced mathematics courses offer students the opportunity to engage with challenging curricula, experience rigorous instruction, and interact with quality teachers. The middle school years are particularly…
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Inclusive STEM High School Design: 10 Critical Components
ERIC Educational Resources Information Center
Peters-Burton, Erin E.; Lynch, Sharon J.; Behrend, Tara S.; Means, Barbara B.
2014-01-01
Historically, the mission of science, technology, engineering, and mathematics (STEM) schools emphasized providing gifted and talented students with advanced STEM coursework. However, a newer type of STEM school is emerging in the United States: inclusive STEM high schools (ISHSs). ISHSs have open enrollment and are focused on preparing…
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Latinas/os Succeeding in Academia: The Effect of Mentors and Multiethnic Coursework
ERIC Educational Resources Information Center
Cavazos, Alyssa G.
2016-01-01
Academia often devalues diverse identities, cultures, and languages through emphasis placed on academic values. To ascertain how established and new Latina/o academics achieved success in academia, the author conducted interviews with ten Latina/o academics; they noted mentoring and multiethnic coursework as influential in their success as…
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ERIC Educational Resources Information Center
Lew, Kristen; Fukawa-Connelly, Timothy Patrick; Mejía-Ramos , Juan Pablo; Weber, Keith
2016-01-01
We describe a case study in which we investigate the effectiveness of a lecture in advanced mathematics. We first videorecorded a lecture delivered by an experienced professor who had a reputation for being an outstanding instructor. Using video recall, we then interviewed the professor to determine the ideas that he intended to convey and how he…
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Advancement via Individual Determination: A Model for Equity in Secondary Mathematics
ERIC Educational Resources Information Center
Hodges, Cynthia D.
2013-01-01
This study examined the impact of Advancement Via Individual Determination (AVID) methodologies on the mathematics achievement of African American, European American, and Hispanic students as measured by the State of Texas Assessment of Academic Readiness (STAAR) End of Course (EOC) for Algebra I. This quantitative nonexperimental ex post facto…
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Academic Self-Perceptions of Ability and Course Planning among Academically Advanced Students
ERIC Educational Resources Information Center
Rudasill, Kathleen Moritz; Callahan, Carolyn M.
2010-01-01
The purpose of this study is to examine the contribution of gender to the academic self-perceptions of ability and related coursework plans for high school and college across academically advanced students. Participants were academically advanced students (N = 447) from grades 5 to 12. Findings revealed that (a) girls' self-perceptions of ability…
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ERIC Educational Resources Information Center
Gleason, James P.; Violette, Jayne L.
2012-01-01
Drawing on a theoretical framework based on "use-inspired" applied research and service learning practice (Honnet-Porter & Poulsen, 1989), this paper argues the relationship between a service-learning approach and Public Relations coursework is a natural and highly desirable fit. Through examination of the goals of both service-learning and public…
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ERIC Educational Resources Information Center
Grinstead, Mary L.
2013-01-01
This study explores the relationship between specific advanced mathematics courses and college readiness (as determined by ACT score). The ACT organization has found a consistent relationship between taking a minimum core number of mathematics courses and higher ACT scores (mathematics and composite) (ACT, Inc., 2012c). However, the extent to…
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Science and Mathematics Advanced Placement Exams: Growth and Achievement over Time
ERIC Educational Resources Information Center
Judson, Eugene
2017-01-01
Rapid growth of Advanced Placement (AP) exams in the last 2 decades has been paralleled by national enthusiasm to promote availability and rigor of science, technology, engineering, and mathematics (STEM). Trends were examined in STEM AP to evaluate and compare growth and achievement. Analysis included individual STEM subjects and disaggregation…
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ERIC Educational Resources Information Center
Treacy, Páraic Thomas
2018-01-01
Secondary level mathematics education in Ireland has recently experienced a period of significant change with the introduction of new curricula and the addition of an incentive to study upper secondary mathematics at the most advanced level (Higher Level). This incentive, typically referred to as 'bonus points', appears to have aided a significant…
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ERIC Educational Resources Information Center
Stanford Univ., CA. School Mathematics Study Group.
This manual was designed for use with the third of five texts in the Secondary School Advanced Mathematics (SSAM) series. Developed for students who have completed the Secondary School Mathematics (SSM) program and wish to continue their studies in mathematics, this series is designed to review, strengthen, and fill gaps in the material covered in…
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ERIC Educational Resources Information Center
Stanford Univ., CA. School Mathematics Study Group.
This text is the third of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. The first of the two chapters in this text deals with equations, inequalities and radicals.…
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ERIC Educational Resources Information Center
Walsh, Shari P.; Tucker, Kelly
2011-01-01
Master's degree by coursework students have been identified as a "forgotten" cohort by the Queensland University of Technology (QUT) Careers and Employment service. Traditionally, these students have been included in undergraduate career development activities. Master's degree students are arguably a specialised group due to the advanced…
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ERIC Educational Resources Information Center
Fiero, Diane M.
2013-01-01
Purpose: The purpose of this study was to determine which basic skills program factors were exhibited by successful basic skills programs that helped students advance to transfer-level mathematics. This study specifically examined California community college basic skills programs that assist students who place in mathematics courses 2 levels…
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Annual Perspectives in Mathematics Education 2016: Mathematical Modeling and Modeling Mathematics
ERIC Educational Resources Information Center
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…
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ERIC Educational Resources Information Center
Stanford Univ., CA. School Mathematics Study Group.
This text is the first of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. The first chapter, devoted to organizing geometric knowledge, deals with the distinction…
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ERIC Educational Resources Information Center
VanAlstine, Sharri K.; Holmes, Alena V.
2016-01-01
In higher education we aspire to prepare students to develop international-mindedness suited to become world citizens. The purpose of this study is (1) to investigate the development of international-mindedness during students' participation in music methods coursework and (2) to find out how international-mindedness is related to preference for…
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ERIC Educational Resources Information Center
Stanford Univ., CA. School Mathematics Study Group.
This manual was designed for use with the first of five texts in the Secondary School Advanced Mathematics (SSAM) series. Developed for students who have completed the Secondary School Mathematics (SSM) program and wish to continue their studies in mathematics, this series is designed to review, strengthen, and fill gaps in the material covered in…
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ERIC Educational Resources Information Center
Anderson, Rick
2006-01-01
The focus of this paper is a group of rural high school students and the factors that contributed to their participation in mathematics classes beyond those minimally required for high school graduation. The author follows Gutierrez (2002) in referring to participation as course taking, particularly in elective and advanced mathematics classes.…
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NASA Astrophysics Data System (ADS)
Treacy, Páraic Thomas
2018-04-01
Secondary level mathematics education in Ireland has recently experienced a period of significant change with the introduction of new curricula and the addition of an incentive to study upper secondary mathematics at the most advanced level (Higher Level). This incentive, typically referred to as 'bonus points', appears to have aided a significant increase in the number of students studying upper secondary mathematics at Higher Level. However, thematic analysis of interviews with experienced upper secondary mathematics examiners and exploration of mathematics diagnostic test data outlined in this paper suggest that the difficulty of the Higher Level upper secondary mathematics final examination in Ireland has reduced since the introduction of the bonus points initiative. The sharp increase in students attempting this examination coupled with a policy of maintaining a consistent proportion of students achieving passing grades was identified as a key reason for this possible reduction in standards.
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ERIC Educational Resources Information Center
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…
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ERIC Educational Resources Information Center
Jooganah, Kamila; Williams, Julian S.
2016-01-01
This article explores how contradictions, as framed by activity theory (Engeström, 1987), can explain first-year undergraduate students' experiences of learning advanced mathematics. Analysing qualitative interview and observational data of students and lecturers based in one university mathematics department, we argue that contradictions between…
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ERIC Educational Resources Information Center
Davis, Pamela; Davis, Michael P.; Mobley, Jerry A.
2014-01-01
This study describes the collaboration among a school counselor, a school counselor intern, an Advanced Placement Psychology teacher, and a counselor educator to improve African-American access to Advanced Placement (AP) coursework and increase success on the AP Psychology national examination. The team initiated a process that recruited African…
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Describing Learning in An Advanced Online Case-Based Course in Environmental Science
ERIC Educational Resources Information Center
Missett, Tracy C.; Reed, Christine B.; Scot, Tammy P.; Callahan, Carolyn M.; Slade, Mary
2010-01-01
Researchers increasingly embrace online courses to compensate for lack of access to educational opportunities otherwise available in traditional school settings. Researchers also recommend alternatives to traditional AP coursework to better meet the diverse learning styles and needs of advanced learners. These recommendations have particular…
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ERIC Educational Resources Information Center
Purvis, Caralyn J.; McNeill, Brigid C.; Everatt, John
2016-01-01
Low metalinguistic knowledge of pre-service and in-service teachers is likely to restrict the provision of evidence-based literacy instruction in the classroom. Despite such concerns, relatively few studies have examined the effects of teacher preparation coursework in building pre-service teachers' language structure knowledge. This study…
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Numeracy for Learners and Teachers: Evaluation of an MTeach Coursework Unit at Monash University
ERIC Educational Resources Information Center
Forgasz, Helen; Hall, Jennifer
2016-01-01
In 2015, a new MTeach coursework unit, "Numeracy for Learners and Teachers," was introduced at Monash University. The impetuses for this unit were the Australian Institute for Teaching and School Leadership numeracy standards for graduate teachers, and the inclusion of numeracy as a general capability in the Australian Curriculum. In…
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ERIC Educational Resources Information Center
Westerveld, Marleen F.; Barton, Georgina M.
2017-01-01
The teaching of reading is a core priority across the education sector. In an attempt to better prepare our next generation of professional teachers of reading, academic staff at an Australian university implemented coursework changes that were designed to enhance the phonological awareness and orthographic knowledge of first-year preservice…
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ERIC Educational Resources Information Center
Githua, Bernard N.; Nyabwa, Rachel Angela
2008-01-01
Students have continued to perform poorly in KCSE examinations in certain mathematics topics taught in secondary schools in Kenya. One such topic is commercial arithmetic. Successful teaching of mathematics depends partly on correct use of teaching methods in classroom settings. This study sought to examine how the use of advance organisers during…
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ERIC Educational Resources Information Center
Glaude-Bolte, Katherine
2010-01-01
Educators seek to guide students through appropriate programs and courses that prepare them for future success, in more advanced coursework and in other challenges of life. Some middle schools offer Challenge, or honors, courses for students who have demonstrated high ability. High schools often offer Advanced Placement (AP) courses, which are…
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ERIC Educational Resources Information Center
Sangpom, Wasukree; Suthisung, Nisara; Kongthip, Yanin; Inprasitha, Maitree
2016-01-01
Mathematical teaching in Thai tertiary education still employs traditional methods of explanation and the use of rules, formulae, and theories in order for students to memorize and apply to their mathematical learning. This results in students' inability to concretely learn, fully comprehend and understand mathematical concepts and practice. In…
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Effect of Environment-Based Coursework on the Nature of Attitudes toward the Endangered Species Act.
ERIC Educational Resources Information Center
Bright, Alan D.; Tarrant, Michael A.
2002-01-01
Examines college students' attitudes and complexity of thinking about the Endangered Species Act (ESA) and the effects of environment-based coursework on their attitudes and thinking. Investigates attitudes in terms of their direction, extremity, ambivalence, and importance and measures complexity of thinking as integrative complexity. (Contains…
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Digital Literacy and Online Video: Undergraduate Students' Use of Online Video for Coursework
ERIC Educational Resources Information Center
Tiernan, Peter; Farren, Margaret
2017-01-01
This paper investigates how to enable undergraduate students' use of online video for coursework using a customised video retrieval system (VRS), in order to understand digital literacy with online video in practice. This study examines the key areas influencing the use of online video for assignments such as the learning value of video,…
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ERIC Educational Resources Information Center
Greenfield, Renée A.
2016-01-01
This study followed a mixed-methods sequential explanatory design. Phase I involved the collection of quantitative data to examine inservice teachers' (N = 69) attitudes about language and linguistic diversity as well as their teacher education coursework. All participants were graduates from the same teacher education program. Phase II included…
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ERIC Educational Resources Information Center
Niess, Margaret; Gillow-Wiles, Henry
2013-01-01
This primarily online Master's degree program focused on advancing K-8 teachers' interdisciplinary mathematical and science content knowledge while integrating appropriate digital technologies as learning and teaching tools. The mixed-method, interpretive study examined in-service teachers' technological, pedagogical, and content knowledge (TPACK)…
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ERIC Educational Resources Information Center
Davis, Cinda-Sue; And Others
This volume includes 10 reports that present findings and recommendations for advancing women in science, mathematics and engineering. Critical issues facing women in these disciplines are addressed, including demographic myths and realities at various educational levels; the educational pipeline for girls and women; involvement in education and…
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Handbook II: Advanced Teaching Strategies for Adjunct and Part-Time Faculty.
ERIC Educational Resources Information Center
Greive, Donald E., Ed.
This handbook is designed to help part-time and adjunct faculty who need professional enhancement but do not have the time for formal coursework. The focus is on the modern student, who differs in many ways from the traditional college student. The book provides more advanced strategies that those presented in the earlier "Handbook for…
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ERIC Educational Resources Information Center
Kimball, Bob
2007-01-01
Educators and marketing professionals agree that course-work must address interpersonal communication skills and ethical decision making in addition to traditional business functions and skills. This article describes an innovative approach to teaching the professional selling course in which students enhance their competency in these areas…
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ERIC Educational Resources Information Center
Pianta, Robert; Hamre, Bridget; Downer, Jason; Burchinal, Margaret; Williford, Amanda; LoCasale-Crouch, Jennifer; Howes, Carollee; La Paro, Karen; Scott-Little, Catherine
2017-01-01
Research Findings: Effects on children's school readiness were evaluated for 2 interventions focused on improving teacher-student interactions (coursework, coaching) implemented sequentially across 2 years. Teachers from public prekindergarten programs in 10 locations were assigned randomly to treatment or control conditions in each year.…
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Mathematical Modeling in the Undergraduate Curriculum
ERIC Educational Resources Information Center
Toews, Carl
2012-01-01
Mathematical modeling occupies an unusual space in the undergraduate mathematics curriculum: typically an "advanced" course, it nonetheless has little to do with formal proof, the usual hallmark of advanced mathematics. Mathematics departments are thus forced to decide what role they want the modeling course to play, both as a component of the…
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ERIC Educational Resources Information Center
Morewood, Aimee; Condo, Amy
2012-01-01
This case study looks closely at one preservice special education teacher candidate's views on how her coursework, program requirements, and practical experiences influenced her knowledge of teaching. Her perspectives are examined through the research-based frameworks of Hanline (2010), Shulman (1986), and Cochran-Smith and Lytle (1999). These…
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ERIC Educational Resources Information Center
Clery, Sue
2006-01-01
Using data from Achieving the Dream: Community Colleges Count, this issue examines the percentages and numbers of students who attempted and completed both developmental and college-level math. The analysis reveals that a large portion of students either do not attempt or do not complete developmental math coursework. Furthermore, the data show…
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Mandatory coursework assignments can be, and should be, eliminated!
NASA Astrophysics Data System (ADS)
Haugan, John; Lysebo, Marius; Lauvas, Per
2017-11-01
Formative assessment can serve as a catalyst for increased student effort and student learning. Yet, many engineering degree programmes are dominated by summative assessment and make limited use of formative assessment. The present case study serves as an example on how formative assessment can be used strategically to increase student effort and improve student learning. Within five courses of an engineering bachelor degree programme in Norway, the mandatory coursework assignments were removed and replaced by formative-only assessment. To facilitate the formative assessment, weekly student peer-assessment sessions were introduced. The main findings include an increase in student study hours and improved student performance on the examinations. Finally, interviews were conducted by an external consultant in an effort to identify key factors that attributed to the positive outcome.
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ERIC Educational Resources Information Center
DePountis, Vicki M.; Pogrund, Rona L.; Griffin-Shirley, Nora; Lan, William Y.
2015-01-01
This research examined the perspectives of teachers of students with visual impairments (TVIs) regarding the use and effectiveness of electronic assistive technology (EAT) purported to assist students who are blind in advanced mathematics subjects. The data for this study were collected via an online survey distributed to a convenience sample of…
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ERIC Educational Resources Information Center
Bahr, Damon; Monroe, Eula E.; Shaha, Steven H.
2013-01-01
The purpose of this study was to compare changes in beliefs of two groups of preservice teachers involved in two types of opportunities to immediately apply methods for teaching accompanying an elementary mathematics methods course. Students in one group applied the methods learned in class through weekly 30-minute peer-teaching sessions, while…
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ERIC Educational Resources Information Center
Boyd, Pete; Bloxham, Sue
2014-01-01
In the continuing concern about academic standards in the higher education sector a great deal of emphasis has been placed on quality assurance procedures rather than on considering how university tutors learn to grade the quality of work produced by students. As part of a larger research project focused on how tutors grade student coursework,…
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ERIC Educational Resources Information Center
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…
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In-Situ Assays Using a New Advanced Mathematical Algorithm - 12400
DOE Office of Scientific and Technical Information (OSTI.GOV)
Oginni, B.M.; Bronson, F.L.; Field, M.B.
2012-07-01
Current mathematical efficiency modeling software for in-situ counting, such as the commercially available In-Situ Object Calibration Software (ISOCS), typically allows the description of measurement geometries via a list of well-defined templates which describe regular objects, such as boxes, cylinder, or spheres. While for many situations, these regular objects are sufficient to describe the measurement conditions, there are occasions in which a more detailed model is desired. We have developed a new all-purpose geometry template that can extend the flexibility of current ISOCS templates. This new template still utilizes the same advanced mathematical algorithms as current templates, but allows the extensionmore » to a multitude of shapes and objects that can be placed at any location and even combined. In addition, detectors can be placed anywhere and aimed at any location within the measurement scene. Several applications of this algorithm to in-situ waste assay measurements, as well as, validations of this template using Monte Carlo calculations and experimental measurements are studied. Presented in this paper is a new template of the mathematical algorithms for evaluating efficiencies. This new template combines all the advantages of the ISOCS and it allows the use of very complex geometries, it also allows stacking of geometries on one another in the same measurement scene and it allows the detector to be placed anywhere in the measurement scene and pointing in any direction. We have shown that the template compares well with the previous ISOCS software within the limit of convergence of the code, and also compare well with the MCNPX and measured data within the joint uncertainties for the code and the data. The new template agrees with ISOCS to within 1.5% at all energies. It agrees with the MCNPX to within 10% at all energies and it agrees with most geometries within 5%. It finally agrees with measured data to within 10%. This mathematical algorithm can
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ERIC Educational Resources Information Center
Roschelle, Jeremy; Shechtman, Nicole; Tatar, Deborah; Hegedus, Stephen; Hopkins, Bill; Empson, Susan; Knudsen, Jennifer; Gallagher, Lawrence P.
2010-01-01
The authors present three studies (two randomized controlled experiments and one embedded quasi-experiment) designed to evaluate the impact of replacement units targeting student learning of advanced middle school mathematics. The studies evaluated the SimCalc approach, which integrates an interactive representational technology, paper curriculum,…
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ERIC Educational Resources Information Center
Hillman, Thomas
2014-01-01
This article examines mathematical activity with digital technology by tracing it from its development through its use in classrooms. Drawing on material-semiotic approaches from the field of Science and Technology Studies, it examines the visions of mathematical activity that developers had for an advanced graphing calculator. It then follows the…
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A Mathematics Software Database Update.
ERIC Educational Resources Information Center
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)
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ERIC Educational Resources Information Center
Liekar, Christine Y.
2012-01-01
Since the time of Sputnik, American educators and policymakers have recognized the need to raise expectations by increasing rigor in high schools across the United States. Copious studies attest to the fact that students who take Advanced Placement coursework experience success in college (Adelman, 1999; Camara, 2003; College Board, 2005;…
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ERIC Educational Resources Information Center
Stanford Univ., CA. School Mathematics Study Group.
This text is the fourth of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. This text begins with a brief discussion of quadratic equations which motivates the…
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ERIC Educational Resources Information Center
Stanford Univ., CA. School Mathematics Study Group.
This manual was designed for use with the fourth of five texts in the Secondary School Advanced Mathematics (SSAM) series. Developed for students who have completed the Secondary School Mathematics (SSM) program and wish to continue their studies in mathematics, this series is designed to review, strengthen, and fill gaps in the material covered…
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ERIC Educational Resources Information Center
Rice, Diana C.; Kaya, Sibel
2012-01-01
This study investigated the relations among preservice elementary teachers' ideas about evolution, their understanding of basic science concepts and college science coursework. Forty-two percent of 240 participants did not accept the theory of human evolution, but held inconsistent ideas about related topics, such as co-existence of humans and…
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Encouraging Young Women to Stay in the Mathematics Pipeline: Mathematics Camps for Young Women
ERIC Educational Resources Information Center
Chacon, Paul; Soto-Johnson, Hortensia
2003-01-01
For two summers, week-long residential mathematics programs were held for high school women, with the primary goal of encouraging them to continue their study of mathematics. The activities were designed to rekindle their excitement about mathematics and to support the idea that women should learn advanced mathematics. This paper reports the…
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TIMSS Advanced 2008 Assessment Frameworks
ERIC Educational Resources Information Center
Garden, Robert A.; Lie, Svein; Robitaille, David F.; Angell, Carl; Martin, Michael O.; Mullis, Ina V.S.; Foy, Pierre; Arora, Alka
2006-01-01
Developing the Trends in International Mathematics and Science Study (TIMSS) Advanced 2008 Assessment Frameworks was a collaborative venture involving mathematics and physics experts from around the world. The document contains two frameworks for implementing TIMSS Advanced 2008--one for advanced mathematics and one for physics. It also contains…
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ERIC Educational Resources Information Center
Gottfried, Michael; Owens, Ann; Williams, Darryl; Kim, Hui Yon; Musto, Michela
2017-01-01
In this study, we synthesized the literature on how informal contexts, namely friends and family social groups, shape high school students' likelihood of pursuing advanced math and science coursework. Extending scholarly understandings of STEM education, we turned to the body of literature with three guiding questions: (1) What influence do…
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ERIC Educational Resources Information Center
Wood, William B.
2002-01-01
A recently released National Research Council (NRC) report, "Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools", evaluated and recommended changes in the Advanced Placement (AP), International Baccalaureate (IB), and other advanced secondary school science programs. As part of this study,…
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Mathematical models of cell motility.
Flaherty, Brendan; McGarry, J P; McHugh, P E
2007-01-01
Cell motility is an essential biological action in the creation, operation and maintenance of our bodies. Developing mathematical models elucidating cell motility will greatly advance our understanding of this fundamental biological process. With accurate models it is possible to explore many permutations of the same event and concisely investigate their outcome. While great advancements have been made in experimental studies of cell motility, it now has somewhat fallen on mathematical models to taking a leading role in future developments. The obvious reason for this is the complexity of cell motility. Employing the processing power of today's computers will give researches the ability to run complex biophysical and biochemical scenarios, without the inherent difficulty and time associated with in vitro investigations. Before any great advancement can be made, the basics of cell motility will have to be well-defined. Without this, complicated mathematical models will be hindered by their inherent conjecture. This review will look at current mathematical investigations of cell motility, explore the reasoning behind such work and conclude with how best to advance this interesting and challenging research area.
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An Improved Mathematical Scheme for LTE-Advanced Coexistence with FM Broadcasting Service
Al-hetar, Abdulaziz M.
2016-01-01
Power spectral density (PSD) overlapping analysis is considered the surest approach to evaluate feasibility of compatibility between wireless communication systems. In this paper, a new closed-form for the Interference Signal Power Attenuation (ISPA) is mathematically derived to evaluate interference caused from Orthogonal Frequency Division Multiplexing (OFDM)-based Long Term Evolution (LTE)-Advanced into Frequency Modulation (FM) broadcasting service. In this scheme, ISPA loss due to PSD overlapping of both OFDM-based LTE-Advanced and FM broadcasting service is computed. The proposed model can estimate power attenuation loss more precisely than the Advanced Minimum Coupling Loss (A-MCL) and approximate-ISPA methods. Numerical results demonstrate that the interference power is less than that obtained using the A-MCL and approximate ISPA methods by 2.8 and 1.5 dB at the co-channel and by 5.2 and 2.2 dB at the adjacent channel with null guard band, respectively. The outperformance of this scheme over the other methods leads to more diminishing in the required physical distance between the two systems which ultimately supports efficient use of the radio frequency spectrum. PMID:27855216
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An Improved Mathematical Scheme for LTE-Advanced Coexistence with FM Broadcasting Service.
Shamsan, Zaid Ahmed; Al-Hetar, Abdulaziz M
2016-01-01
Power spectral density (PSD) overlapping analysis is considered the surest approach to evaluate feasibility of compatibility between wireless communication systems. In this paper, a new closed-form for the Interference Signal Power Attenuation (ISPA) is mathematically derived to evaluate interference caused from Orthogonal Frequency Division Multiplexing (OFDM)-based Long Term Evolution (LTE)-Advanced into Frequency Modulation (FM) broadcasting service. In this scheme, ISPA loss due to PSD overlapping of both OFDM-based LTE-Advanced and FM broadcasting service is computed. The proposed model can estimate power attenuation loss more precisely than the Advanced Minimum Coupling Loss (A-MCL) and approximate-ISPA methods. Numerical results demonstrate that the interference power is less than that obtained using the A-MCL and approximate ISPA methods by 2.8 and 1.5 dB at the co-channel and by 5.2 and 2.2 dB at the adjacent channel with null guard band, respectively. The outperformance of this scheme over the other methods leads to more diminishing in the required physical distance between the two systems which ultimately supports efficient use of the radio frequency spectrum.
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ERIC Educational Resources Information Center
McElwee, Christine B.; Regan, Kelley; Baker, Pamela Hudson; Weiss, Margaret P.
2018-01-01
The purpose of this study was to investigate to what extent context and relationships influence preservice teachers' appropriation of coursework during the clinical experience. While there is a dearth of research regarding the clinical experience in teacher preparation programs, there are even fewer studies investigating special education teacher…
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Driven by History: Mathematics Education Reform
ERIC Educational Resources Information Center
Permuth, Steve; Dalzell, Nicole
2013-01-01
The advancement of modern societies is fueled by mathematics, and mathematics education provides the foundation upon which future scientists and engineers will build. Society dictates how mathematics will be taught through the development and implementation of mathematics standards. When examining the progression of these standards, it is…
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ERIC Educational Resources Information Center
Scarborough, Jule Dee
2004-01-01
This document (book) reports on the Strategic Alliance to Advance Technological Education through Enhanced Mathematics, Science, Technology, and English Education at the Secondary Level, funded by National Science Foundation. It was a collaborative partnership involving the Rockford Public Schools, Rock Valley College, and Northern Illinois…
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NASA Astrophysics Data System (ADS)
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.
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Advanced Mathematics Communication beyond Modality of Sight
ERIC Educational Resources Information Center
Sedaghatjou, Mina
2018-01-01
This study illustrates how mathematical communication and learning are inherently multimodal and embodied; hence, sight-disabled students are also able to conceptualize visuospatial information and mathematical concepts through tactile and auditory activities. Adapting a perceptuomotor integration approach, the study shows that the lack of access…
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ERIC Educational Resources Information Center
Haga, Wayne; Moreno, Abel; Segall, Mark
2012-01-01
In this paper, we compare the performance of Computer Information Systems (CIS) majors on the Information Systems Analyst (ISA) Certification Exam. The impact that the form of delivery of information systems coursework may have on the exam score is studied. Using a sample that spans three years, we test for significant differences between scores…
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ERIC Educational Resources Information Center
DePountis, Vicki M.; Pogrund, Rona L.; Griffin-Shirley, Nora; Lan, William Y.
2015-01-01
Introduction: This research examined the perspectives of teachers of students who are visually impaired regarding the use and effectiveness of high-tech assistive technology purported to assist visually impaired students in advanced mathematics. Methods: The data for this study were collected via a mixed-methods online survey distributed through…
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Wood, William B
2002-01-01
A recently released National Research Council (NRC) report, Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools, evaluated and recommended changes in the Advanced Placement (AP), International Baccalaureate (IB), and other advanced secondary school science programs. As part of this study, discipline-specific panels were formed to evaluate advanced programs in biology, chemistry, physics, and mathematics. Among the conclusions of the Content Panel for Biology were that AP courses in particular suffer from inadequate quality control as well as excessive pressure to fulfill their advanced placement function, which encourages teachers to attempt coverage of all areas of biology and emphasize memorization of facts rather than in-depth understanding. In this essay, the Panel's principal findings are discussed, with an emphasis on its recommendation that colleges and universities should be strongly discouraged from using performance on either the AP examination or the IB examination as the sole basis for automatic placement out of required introductory courses for biology majors and distribution requirements for nonmajors.
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2002-01-01
A recently released National Research Council (NRC) report, Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools, evaluated and recommended changes in the Advanced Placement (AP), International Baccalaureate (IB), and other advanced secondary school science programs. As part of this study, discipline-specific panels were formed to evaluate advanced programs in biology, chemistry, physics, and mathematics. Among the conclusions of the Content Panel for Biology were that AP courses in particular suffer from inadequate quality control as well as excessive pressure to fulfill their advanced placement function, which encourages teachers to attempt coverage of all areas of biology and emphasize memorization of facts rather than in-depth understanding. In this essay, the Panel's principal findings are discussed, with an emphasis on its recommendation that colleges and universities should be strongly discouraged from using performance on either the AP examination or the IB examination as the sole basis for automatic placement out of required introductory courses for biology majors and distribution requirements for nonmajors. PMID:12669097
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Schlimm, Dirk
2013-04-01
This article looks at recent work in cognitive science on mathematical cognition from the perspective of history and philosophy of mathematical practice. The discussion is focused on the work of Lakoff and Núñez, because this is the first comprehensive account of mathematical cognition that also addresses advanced mathematics and its history. Building on a distinction between mathematics as it is presented in textbooks and as it presents itself to the researcher, it is argued that the focus of cognitive analyses of historical developments of mathematics has been primarily on the former, even if they claim to be about the latter. Copyright © 2013 Cognitive Science Society, Inc.
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TIMSS Advanced 2015 Assessment Frameworks
ERIC Educational Resources Information Center
Mullis, Ina V. S., Ed.; Martin, Michael O., Ed.
2014-01-01
The "TIMSS Advanced 2015 Assessment Frameworks" provides the foundation for the two international assessments to take place as part of the International Association for the Evaluation of Educational Achievement's TIMSS (Trends in International Mathematics and Science Study) Advanced 2015--Advanced Mathematics and Physics. Chapter 1 (Liv…
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Crank, J.
1976-01-01
The surgeon uses elementary mathematics just as much as any other educated layman. In his professional life, however, much of the knowledge and skill on which he relies has had a mathematical strand in its development, possibly woven into the supporting disciplines such as physics, chemistry, biology, and bioengineering. The valves and limitations of mathematical models are examined briefly in the general medical field and particularly in relation to the surgeon. Arithmetic and statistics are usually regarded as the most immediately useful parts of mathematics. Examples are cited, however, of medical postgraduate work which uses other highly advanced mathematical techniques. The place of mathematics in postgraduate and postexperience teaching courses is touched on. The role of a mathematical consultant in the medical team is discussed. PMID:942167
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Theoretical Explanations in Mathematical Physics
NASA Astrophysics Data System (ADS)
Rivadulla, Andrés
Many physicists wonder at the usefulness of mathematics in physics. According Madrid to Einstein mathematics is admirably appropriate to the objects of reality. Wigner asserts that mathematics plays an unreasonable important role in physics. James Jeans affirms that God is a mathematician, and that the first aim of physics is to discover the laws of nature, which are written in mathematical language. Dirac suggests that God may have used very advanced mathematics in constructing the universe. And Barrow adheres himself to Wigner's claim about the unreasonable effectiveness of mathematics for the workings of the physical world.
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Mathematics Content Coverage and Student Learning in Kindergarten
Engel, Mimi; Claessens, Amy; Watts, Tyler; Farkas, George
2017-01-01
Analyzing data from two nationally representative kindergarten cohorts, we examine the mathematics content teachers cover in kindergarten. We expand upon prior research, finding that kindergarten teachers report emphasizing basic mathematics content. Although teachers reported increased coverage of advanced content between the 1998–99 and 2010–11 school years, they continued to place more emphasis on basic content. We find that time on advanced content is positively associated with student learning, whereas time on basic content has a negative association with learning. We argue that increased exposure to more advanced mathematics content could benefit the vast majority of kindergartners. PMID:29353913
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NASA Astrophysics Data System (ADS)
Alpaslan, Mustafa; Işıksal, Mine; Haser, Çiğdem
2014-01-01
This study examined pre-service mathematics teachers' knowledge of history of mathematics and their attitudes and beliefs towards using history of mathematics in mathematics education based on year level in teacher education program and gender. The sample included 1,593 freshman, sophomore, junior, and senior pre-service middle school (grades 4-8) mathematics teachers from nine universities in Turkey. Data were collected through Knowledge of History of Mathematics Test and Attitudes and Beliefs towards the Use of History of Mathematics in Mathematics Education Questionnaire. Results indicate that pre-service teachers have moderate knowledge of history of mathematics and positive attitudes and beliefs towards using history of mathematics. Their knowledge scores increase as the year level in teacher education program advanced. Males' knowledge scores are significantly higher than females' scores in the first 2 years. This situation reverses in the last 2 years, but it is not statistically significant. Pre-service teachers have more positive attitudes and availing beliefs towards using history of mathematics as they progress in their teacher education program. Females have greater attitudes and beliefs mean scores than males in each of the years. The results indicate that the teacher education program may have enhanced the pre-service teachers' knowledge of history of mathematics by related courses. However, the moderate knowledge scores indicate that there is a need for revision of these courses. The pre-service teachers' positive attitudes and beliefs towards using history of mathematics stress the importance of teacher education program in order to prepare them for implementing this alternative strategy in the future.
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The link between middle school mathematics course placement and achievement.
Domina, Thurston
2014-01-01
The proportion of eighth graders in United States public schools enrolled in algebra or a more advanced mathematics course doubled between 1990 and 2011. This article uses Early Childhood Longitudinal Study's Kindergarten Cohort data to consider the selection process into advanced middle school mathematics courses and estimate the effects of advanced courses on students' mathematics achievement (n = 6,425; mean age at eighth grade = 13.7). Eighth-grade algebra and geometry course placements are academically selective, but considerable between-school variation exists in students' odds of taking these advanced courses. While analyses indicate that advanced middle school mathematics courses boost student achievement, these effects are most pronounced in content areas closely related to class content and may be contingent on student academic readiness. © 2014 The Author. Child Development © 2014 Society for Research in Child Development, Inc.
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ERIC Educational Resources Information Center
Liljedahl, Peter G.
2005-01-01
The AHA! experience-the moment of illumination on the heels of lengthy, and seemingly fruitless, intentional effort-has long been the basis for lore in mathematics. Unfortunately, such lore is often restricted to the discussion of these phenomena in the context of great mathematicians and great mathematical advancement. But are such experiences…
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Clinical Assessment in Mathematics: Learning the Craft.
ERIC Educational Resources Information Center
Hunting, Robert P.; Doig, Brian A.
1997-01-01
Discusses a professional development program called Clinical Approaches to Mathematics Assessment. Argues for the advanced training of mathematics teachers who understand knowledge construction processes of students; can use clinical tools for evaluating a student's unique mathematical "fingerprint"; and can create or adapt problems, tasks, or…
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Mathematical Creativity: Psychology, Progress and Caveats
ERIC Educational Resources Information Center
Sriraman, Bharath
2017-01-01
The aim of this paper is to provide a concise survey of advances in the study of the psychology of creativity, with an emphasis on literature that is typically not cited in mathematics education. In spite of claims that mathematical creativity is an ill-defined area of inquiry in mathematics education, the literature from psychology can serve as…
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Persistence patterns of mathematics and science majors: A profile of highly motivated freshmen
NASA Astrophysics Data System (ADS)
Gonzales, Erin E.
Despite an increasing demand for college graduates skilled in science, technology, engineering, and mathematics ("STEM") fields, a substantial number of students who choose these majors leave after taking their first-year "gateway" math and science coursework. Research has shown GPA to be a salient predictor of persistence in STEM majors: Students who earn high grades in gateway courses are more likely to continue, and those who earn low grades are more likely to leave. However, a small number of students defy that expectation: Despite a low gateway course GPA, they persist not just to the sophomore year but all the way to graduation. The purpose of this study was to determine what other experiences, motivations, or attributes aside from academic performance influence these students to persist. A qualitative approach was taken with the use of semi-structured interviews, which provided a means for analysis based on insights directly from students. An invitation was sent to a cohort of graduating math and science majors at a large public institution, and 10 eligible volunteers were chosen to participate. A thematic analysis was conducted to seek common themes in the students' interviews regarding their experiences in their gateway coursework, their feelings towards their chosen major, their beliefs about their academic proficiency, their motivations for continuing in their major, and other prominent characteristics they attributed to their persistence. Five themes were found: Ambition, dedication, achievement, culture shock, and resilience. Of the five themes, four are attributes of the students themselves: Ambition, dedication, achievement, and resilience. The fifth, culture shock, is something that happened to them, although it does contain information about the students insofar as how they handled the situation. The end result was the identification of a specific group of students: High achievers majoring in math and science who are self-driven and independent, as
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ERIC Educational Resources Information Center
Tularam, Gurudeo Anand
2013-01-01
This paper addresses the importance of teaching mathematics in business and finance schools of tertiary institutions of Australia. The paper explores the nature of thinking and reasoning required for advancement financial or economic studies involves the use of higher order thinking and creativity skills (HOTS) for teaching in mathematics classes.…
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Latent transition analysis of pre-service teachers' efficacy in mathematics and science
NASA Astrophysics Data System (ADS)
Ward, Elizabeth Kennedy
This study modeled changes in pre-service teacher efficacy in mathematics and science over the course of the final year of teacher preparation using latent transition analysis (LTA), a longitudinal form of analysis that builds on two modeling traditions (latent class analysis (LCA) and auto-regressive modeling). Data were collected using the STEBI-B, MTEBI-r, and the ABNTMS instruments. The findings suggest that LTA is a viable technique for use in teacher efficacy research. Teacher efficacy is modeled as a construct with two dimensions: personal teaching efficacy (PTE) and outcome expectancy (OE). Findings suggest that the mathematics and science teaching efficacy (PTE) of pre-service teachers is a multi-class phenomena. The analyses revealed a four-class model of PTE at the beginning and end of the final year of teacher training. Results indicate that when pre-service teachers transition between classes, they tend to move from a lower efficacy class into a higher efficacy class. In addition, the findings suggest that time-varying variables (attitudes and beliefs) and time-invariant variables (previous coursework, previous experiences, and teacher perceptions) are statistically significant predictors of efficacy class membership. Further, analyses suggest that the measures used to assess outcome expectancy are not suitable for LCA and LTA procedures.
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ERIC Educational Resources Information Center
Eubanks-Turner, Christina; Beaulieu, Patricia; Pal, Nabendu
2018-01-01
The Smooth Transition for Advancement to Graduate Education (STAGE) project was a three-year pilot project designed to mentor undergraduate students primarily from under-represented groups in the mathematical sciences. The STAGE pilot project focused on mentoring students as they transitioned from undergraduate education to either graduate school…
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All Students Need Advanced Mathematics. Math Works
ERIC Educational Resources Information Center
Achieve, Inc., 2013
2013-01-01
This fact sheet explains that to thrive in today's world, all students will need to graduate with very strong math skills. That can only mean one thing: advanced math courses are now essential math courses. Highlights of this paper include: (1) Advanced math equals college success; (2) Advanced math equals career opportunity; and (3) Advanced math…
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Predicting Mathematical Aptitude for Higher Education
ERIC Educational Resources Information Center
McDonald, Betty
2008-01-01
This present study seeks to predict mathematical aptitude for higher education by examining the relationship between mathematics results from the Caribbean Examinations Council (CXC) general proficiency examination and the results from the General Certificate of Education (GCE) advanced level examination. This present study arose from a more…
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NASA Astrophysics Data System (ADS)
Maltese, Adam V.
While the number of Bachelor's degrees awarded annually has nearly tripled over the past 40 years (NSF, 2008), the same cannot be said for degrees in the STEM (science, technology, engineering and mathematics) fields. The Bureau of Labor Statistics projects that by the year 2014 the combination of new positions and retirements will lead to 2 million job openings in STEM (BLS, 2005). Thus, the research questions I sought to answer with this study were: (1)What are the most common enrollment patterns for students who enter into and exit from the STEM pipeline during high school and college? (2) Controlling for differences in student background and early interest in STEM careers, what are the high school science and mathematics classroom experiences that characterize student completion of a college major in STEM? Using data from NELS:88 I analyzed descriptive statistics and completed logistic regressions to gain an understanding of factors related to student persistence in STEM. Approximately 4700 students with transcript records and who participated in all survey rounds were included in the analyses. The results of the descriptive analysis demonstrated that most students who went on to complete majors in STEM completed at least three or four years of STEM courses during high school, and enrolled in advanced high school mathematics and science courses at higher rates. At almost every pipeline checkpoint indicators of the level of coursework and achievement were significant in predicting student completion of a STEM degree. The results also support previous research that showed demographic variables have little effect on persistence once the sample is limited to those who have the intrinsic ability and desire to complete a college degree. The most significant finding is that measures of student interest and engagement in science and mathematics were significant in predicting completion of a STEM degree, above and beyond the effects of course enrollment and performance
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ERIC Educational Resources Information Center
Darlington, Ellie; Bowyer, Jessica
2017-01-01
An ongoing reform programme of the post-16 Advanced "A"-level qualifications in England and Wales means that pre-university mathematics content and assessment will change from 2017. Undergraduate engineering is a subject that relies heavily on mathematics, and applicants to engineering degree programmes in the UK are required to have…
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ERIC Educational Resources Information Center
Brandenburg, Sister M. Luka
2002-01-01
High-school mathematics teacher in Rock Island, Illinois, describes plan for using writing assignment to improve student understanding of advanced mathematics. Plan includes the following elements: Start small, be firm with students, make writing assignments count, and inform colleagues. (PKP)
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Mathematics in Literature and Cinema: An Interdisciplinary Course
ERIC Educational Resources Information Center
Chabrán, H. Rafael; Kozek, Mark
2016-01-01
We describe our team-taught, interdisciplinary course "Numb3rs in Lett3rs & Fi1ms: Mathematics in Literature and Cinema," which explores mathematics in the context of modern literature and cinema. Our goal with this course is to advance collaborations between mathematics and the written/theatre-based creative arts.
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[Research advances in mathematical model of coniferous trees cold hardiness].
Zhang, Gang; Wang, Ai-Fang
2007-07-01
Plant cold hardiness has complicated attributes. This paper introduced the research advances in establishing the dynamic models of coniferous trees cold hardiness, with the advantages and disadvantages of the models presented and the further studies suggested. In the models established initially, temperature was concerned as the only environmental factor affecting the cold hardiness, and the concept of stationary level of cold hardiness was introduced. Due to the obvious prediction errors of these models, the stationary level of cold hardiness was modeled later by assuming the existence of an additive effect of temperature and photoperiod on the increase of cold hardiness. Furthermore, the responses of the annual development phases for cold hardiness to environment were considered. The model researchers have paid more attention to the additive effect models, and run some experiments to test the additivity principle. However, the research results on Scots pine (Pinus sylvestris) indicated that its organs did not support the presumption of an additive response of cold hardiness by temperature and photoperiod, and the interaction between environmental factors should be taken into account. The mathematical models of cold hardiness need to be developed and improved.
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ERIC Educational Resources Information Center
Kiley, Margaret; Cumming, Jim
2014-01-01
The objective of this paper is to identify the impact of current national policies and emerging curricular practices on master's by coursework students in Australia. It is argued that the rate of top-down policy change, together with bottom-up innovation, is resulting in a high level of complexity that is challenging providers, staff and student…
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Technology in K-12 Mathematics Classrooms
ERIC Educational Resources Information Center
Ozel, Serkan; Yetkiner, Zeynep Ebrar; Capraro, Robert M.
2008-01-01
Technology integration in mathematics classrooms is important to the field of education, not only because today's society is becoming more and more advanced and reliant upon technology but also because schools are beginning to embrace technology as an essential part of their curricula. The Principles and Standards for School Mathematics (National…
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ERIC Educational Resources Information Center
Rogness, Jonathan
2011-01-01
Advances in computer graphics have provided mathematicians with the ability to create stunning visualizations, both to gain insight and to help demonstrate the beauty of mathematics to others. As educators these tools can be particularly important as we search for ways to work with students raised with constant visual stimulation, from video games…
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Handwritten mathematical symbols dataset.
Chajri, Yassine; Bouikhalene, Belaid
2016-06-01
Due to the technological advances in recent years, paper scientific documents are used less and less. Thus, the trend in the scientific community to use digital documents has increased considerably. Among these documents, there are scientific documents and more specifically mathematics documents. In this context, we present our own dataset of handwritten mathematical symbols composed of 10,379 images. This dataset gathers Arabic characters, Latin characters, Arabic numerals, Latin numerals, arithmetic operators, set-symbols, comparison symbols, delimiters, etc.
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Mathematical Rigor in the Common Core
ERIC Educational Resources Information Center
Hull, Ted H.; Balka, Don S.; Miles, Ruth Harbin
2013-01-01
A whirlwind of activity surrounds the topic of teaching and learning mathematics. The driving forces are a combination of changes in assessment and advances in technology that are being spurred on by the introduction of content in the Common Core State Standards for Mathematical Practice. Although the issues are certainly complex, the same forces…
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ERIC Educational Resources Information Center
Skinner, Ellen; Saxton, Emily; Currie, Cailin; Shusterman, Gwen
2017-01-01
As part of long-standing efforts to promote undergraduates' success in science, researchers have investigated the instructional strategies and motivational factors that promote student learning and persistence in science coursework and majors. This study aimed to create a set of brief measures that educators and researchers can use as tools to…
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Analyzing the Teaching of Advanced Mathematics Courses via the Enacted Example Space
ERIC Educational Resources Information Center
Fukawa-Connelly, Timothy Patrick; Newton, Charlene
2014-01-01
Examples are believed to be very important in developing conceptual understanding of mathematical ideas, useful both in mathematics research and instruction (Bills & Watson in "Educational Studies in Mathematics" 69:77-79, 2008; Mason & Watson, 2008; Bills & Tall, 1998; Tall & Vinner, 1981). In this study, we draw on the…
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NASA Astrophysics Data System (ADS)
Varsavsky, Cristina
2010-12-01
An increasing number of Australian students elect not to undertake studies in mathematical methods in the final years of their secondary schooling. Some higher education providers now offer pathways for these students to pursue mathematics studies up to a major specialization within the bachelor of science programme. This article analyses the performance in and engagement with mathematics of the students who elect to take up this option. Findings indicate that these are not very different when compared to students who enter university with an intermediate mathematics preparation. The biggest contrast in performance and engagement is with those students who have studied mathematics in senior secondary school to an advanced level.
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Pedagogical Applications from Real Analysis for Secondary Mathematics Teachers
ERIC Educational Resources Information Center
Wasserman, Nicholas; Weber, Keith
2017-01-01
In this article, we consider the potential influences of the study of proofs in advanced mathematics on secondary mathematics teaching. Thus far, the literature has highlighted the benefits of applying the conclusions of particular proofs to secondary content and of developing a more general sense of disciplinary practices in mathematics in…
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What do mathematics teachers and teacher trainees know about the history of mathematics?
NASA Astrophysics Data System (ADS)
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.
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Handwritten mathematical symbols dataset
Chajri, Yassine; Bouikhalene, Belaid
2016-01-01
Due to the technological advances in recent years, paper scientific documents are used less and less. Thus, the trend in the scientific community to use digital documents has increased considerably. Among these documents, there are scientific documents and more specifically mathematics documents. In this context, we present our own dataset of handwritten mathematical symbols composed of 10,379 images. This dataset gathers Arabic characters, Latin characters, Arabic numerals, Latin numerals, arithmetic operators, set-symbols, comparison symbols, delimiters, etc. PMID:27006975
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Mathematical biology modules based on modern molecular biology and modern discrete mathematics.
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.
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Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics
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
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Use of CAS in Secondary School: A Factor Influencing the Transition to University-Level Mathematics?
ERIC Educational Resources Information Center
Varsavsky, Cristina
2012-01-01
Australian secondary school systems offer three levels of senior (year 12) mathematics studies, none of them compulsory: elementary, intermediate and advanced. The intermediate and advanced studies prepare students for further mathematics studies at university level. In the state of Victoria, there are two versions of intermediate mathematics: one…
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ERIC Educational Resources Information Center
Dunst, Carl J.; Raab, Melinda; Hamby, Deborah W.; Long, Anna Lauren
2015-01-01
The results from a content analysis of coursework required and offered at the 58 North Carolina Community Colleges to obtain an Associate in Applied Sciences Degree in early childhood education are described. The analyses were conducted to determine the likelihood that the courses could include content knowledge or practice on 12 infant and child…
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NASA Astrophysics Data System (ADS)
Roberson, James Chadwick
The purpose of this study was to determine if supplementary mathematics materials (created to be complementary to a physical science course) could provide a significant change in the attitudes and performance of the students involved. The supplementary text was provided in the form of a booklet. Participants were students in a physical science class. Students were given surveys to evaluate existing knowledge of physical science, mathematics skill, and mathematics anxiety in the context of a science class. Students were divided into control and experimental groups by lab section, with the experimental group receiving a supplemental booklet. At the end of the semester, another anxiety survey was given. The anxiety surveys and test grades were compared between groups. Anxiety scores were compared between the beginning and end of the semester within each group. Too few students reported using the booklets for a reliable statistical comparison (of grades) to be made. A statistically significant difference in mathematics anxiety levels was found between the groups.
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Use of CAS in secondary school: a factor influencing the transition to university-level mathematics?
NASA Astrophysics Data System (ADS)
Varsavsky, Cristina
2012-01-01
Australian secondary school systems offer three levels of senior (year 12) mathematics studies, none of them compulsory: elementary, intermediate and advanced. The intermediate and advanced studies prepare students for further mathematics studies at university level. In the state of Victoria, there are two versions of intermediate mathematics: one where students learn and are examined with a computer algebra system (CAS) and another where students can only use scientific calculators. This study compares the performance of 1240 students as they transitioned to traditional university-level mathematics and according to whether they learned intermediate mathematics with or without the assistance of a CAS. This study concludes that students without CAS show a slight advantage, but the most important factor affecting student performance is the uptake of advanced-level mathematics studies in secondary school.
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Which Preschool Mathematics Competencies Are Most Predictive of Fifth Grade Achievement?
Nguyen, Tutrang; Watts, Tyler W.; Duncan, Greg J.; Clements, Douglas H.; Sarama, Julie S.; Wolfe, Christopher; Spitler, Mary Elaine
2016-01-01
In an effort to promote best practices regarding mathematics teaching and learning at the preschool level, national advisory panels and organizations have emphasized the importance of children’s emergent counting and related competencies, such as the ability to verbally count, maintain one-to-one correspondence, count with cardinality, subitize, and count forward or backward from a given number. However, little research has investigated whether the kind of mathematical knowledge promoted by the various standards documents actually predict later mathematics achievement. The present study uses longitudinal data from a primarily low-income and minority sample of children to examine the extent to which preschool mathematical competencies, specifically basic and advanced counting, predict fifth grade mathematics achievement. Using regression analyses, we find early numeracy abilities to be the strongest predictors of later mathematics achievement, with advanced counting competencies more predictive than basic counting competencies. Our results highlight the significance of preschool mathematics knowledge for future academic achievement. PMID:27057084
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Which Preschool Mathematics Competencies Are Most Predictive of Fifth Grade Achievement?
Nguyen, Tutrang; Watts, Tyler W; Duncan, Greg J; Clements, Douglas H; Sarama, Julie S; Wolfe, Christopher; Spitler, Mary Elaine
In an effort to promote best practices regarding mathematics teaching and learning at the preschool level, national advisory panels and organizations have emphasized the importance of children's emergent counting and related competencies, such as the ability to verbally count, maintain one-to-one correspondence, count with cardinality, subitize, and count forward or backward from a given number. However, little research has investigated whether the kind of mathematical knowledge promoted by the various standards documents actually predict later mathematics achievement. The present study uses longitudinal data from a primarily low-income and minority sample of children to examine the extent to which preschool mathematical competencies, specifically basic and advanced counting, predict fifth grade mathematics achievement. Using regression analyses, we find early numeracy abilities to be the strongest predictors of later mathematics achievement, with advanced counting competencies more predictive than basic counting competencies. Our results highlight the significance of preschool mathematics knowledge for future academic achievement.
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Mathematics Content Coverage and Student Learning in Kindergarten
ERIC Educational Resources Information Center
Engel, Mimi; Claessens, Amy; Watts, Tyler; Farkas, George
2016-01-01
Analyzing data from two nationally representative kindergarten cohorts, we examine the mathematics content teachers cover in kindergarten. We expand upon prior research, finding that kindergarten teachers report emphasizing basic mathematics content. Although teachers reported increased coverage of advanced content between the 1998-1999 and…
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Enhancing School Mathematics Culturally: A Path of Reconciliation
ERIC Educational Resources Information Center
Aikenhead, Glen S.
2017-01-01
Culturally responsive or place-based school mathematics that focuses on Indigenous students has an established presence in the research literature. This culture-based innovation represents a historical shift from conventional approaches to mathematics education. Moreover, it has demonstratively advanced the academic achievement for both Indigenous…
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Harrison, Theresa M.; Ching, Christopher R. K.; Andrews, Anne M.
2016-01-01
Neuroscience doctoral students must master specific laboratory techniques and approaches to complete their thesis work (hands-on learning). Due to the highly interdisciplinary nature of the field, learning about a diverse range of methodologies through literature surveys and coursework is also necessary for student success (hands-off learning). Traditional neuroscience coursework stresses what is known about the nervous system with relatively little emphasis on the details of the methods used to obtain this knowledge. Furthermore, hands-off learning is made difficult by a lack of detail in methods sections of primary articles, subfield-specific jargon and vague experimental rationales. We designed a student-taught course to enable first-year neuroscience doctoral students to overcome difficulties in hands-off learning by introducing a new approach to reading and presenting primary research articles that focuses on methodology. In our literature-based course students were encouraged to present a method with which they had no previous experience. To facilitate weekly discussions, “experts” were invited to class sessions. Experts were advanced graduate students who had hands-on experience with the method being covered and served as discussion co-leaders. Self-evaluation worksheets were administered on the first and last days of the 10-week course and used to assess students’ confidence in discussing research and methods outside of their primary research expertise. These evaluations revealed that the course significantly increased the students’ confidence in reading, presenting and discussing a wide range of advanced neuroscience methods. PMID:27980464
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Barlesi, Fabrice; Imbs, Diane-Charlotte; Tomasini, Pascale; Greillier, Laurent; Galloux, Melissa; Testot-Ferry, Albane; Garcia, Mélanie; Elharrar, Xavier; Pelletier, Annick; André, Nicolas; Mascaux, Céline; Lacarelle, Bruno; Cheikh, Raouf El; Serre, Raphaël; Ciccolini, Joseph; Barbolosi, Dominique
2017-07-18
Using mathematical modelling allows to select a treatment's regimen across infinite possibilities. Here, we report the phase I assessment of a new schedule for metronomic vinorelbine in treating refractory advanced NSCLC and mesothelioma patients. Overall, 13 patients were screened and 12 were treated (50% male, median age: 68yrs), including 9 NSCLC patients. All patients received at least one week (3 doses) of treatment. At data cut-off, the median length of treatment was 6.5 weeks (1-32+). All the patients presented with at least one adverse event (AE) and six patients with a severe AE (SAE). One partial response and 5 stable diseases were observed. The median OS was 6.4 months (95% CI, 4.8 to 12 months). The median and mean vinorelbine's AUC were 122 ng/ml*h and 159 ng/ml*h, respectively, with the higher plasmatic vinorelbine exposure associated with the best ORR (difference of AUC comparison between responders and non-responders, p-value 0.017). The mathematical modelling determined the administration of vinorelbine, 60 mg on Day 1, 30 mg on Day 2 and 60 mg on Day 4 weekly until progression, as the best schedule. Advanced NSCLC or mesothelioma patients progressing after standard treatment were eligible for the trial. NCT02555007. Responses with acceptable safety profile were observed in heavily pretreated NSCLC and mesothelioma patients using oral vinorelbine at this metronomic dosage based on a mathematic modeling. This study demonstrates the feasibility of this new type of approach, as mathematical modeling may help to rationally decide the better regimen to be clinically tested across infinite possibilities.
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Mathematics: Report of the Project 2061 Phase I Mathematics Panel.
ERIC Educational Resources Information Center
Blackwell, David; Henkin, Leon
This is one of five panel reports that have been prepared as part of the first phase of Project 2061, a long-term multipurpose undertaking of the American Association for the Advancement of Science designed to help reform science, mathematics, and technology education in the United States. Major sections included are: (1) "Introduction";…
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Do Advanced Mathematics Skills Predict Success in Biology and Chemistry Degrees?
ERIC Educational Resources Information Center
Adkins, Michael; Noyes, Andrew
2018-01-01
The mathematical preparedness of science undergraduates has been a subject of debate for some time. This paper investigates the relationship between school mathematics attainment and degree outcomes in biology and chemistry across England, a much larger scale of analysis than has hitherto been reported in the literature. A unique dataset which…
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The Jukes-Cantor Model of Molecular Evolution
ERIC Educational Resources Information Center
Erickson, Keith
2010-01-01
The material in this module introduces students to some of the mathematical tools used to examine molecular evolution. This topic is standard fare in many mathematical biology or bioinformatics classes, but could also be suitable for classes in linear algebra or probability. While coursework in matrix algebra, Markov processes, Monte Carlo…
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TEACHING OF ADVANCED MATHEMATICAL CONCEPTS TO CULTURALLY DISADVANTAGED ELEMENTARY SCHOOL CHILDREN.
ERIC Educational Resources Information Center
RUPLEY, WILLIAM H.
THE SUCCESS OF DISCOVERY MATHEMATICS TEACHING IN THE ELEMENTARY SCHOOL WAS TESTED OVER A 1-YEAR PERIOD. THE PROJECT WAS INTENDED TO SEE IF A TRAINED MATHEMATICIAN WORKING AT AN ELEMENTARY SCHOOL WITH DISADVANTAGED CHILDREN COULD (1) MOTIVATE THE CHILDREN TO BE INTERESTED IN SCHOOL WORK BY INTERESTING THEM IN MATHEMATICS AND (2) COMMUNICATE WITH…
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Wright, Ann; Provost, Joseph; Roecklein-Canfield, Jennifer A; Bell, Ellis
2013-01-01
Over the past two years, through an NSF RCN UBE grant, the ASBMB has held regional workshops for faculty members from around the country. The workshops have focused on developing lists of Core Principles or Foundational Concepts in Biochemistry and Molecular Biology, a list of foundational skills, and foundational concepts from Physics, Chemistry, and Mathematics that all Biochemistry or Molecular Biology majors must understand to complete their major coursework. The allied fields working group created a survey to validate foundational concepts from Physics, Chemistry, and Mathematics identified from participant feedback at various workshops. One-hundred twenty participants responded to the survey and 68% of the respondents answered yes to the question: "We have identified the following as the core concepts and underlying theories from Physics, Chemistry, and Mathematics that Biochemistry majors or Molecular Biology majors need to understand after they complete their major courses: 1) mechanical concepts from Physics, 2) energy and thermodynamic concepts from Physics, 3) critical concepts of structure from chemistry, 4) critical concepts of reactions from Chemistry, and 5) essential Mathematics. In your opinion, is the above list complete?" Respondents also delineated subcategories they felt should be included in these broad categories. From the results of the survey and this analysis the allied fields working group constructed a consensus list of allied fields concepts, which will help inform Biochemistry and Molecular Biology educators when considering the ASBMB recommended curriculum for Biochemistry or Molecular Biology majors and in the development of appropriate assessment tools to gauge student understanding of how these concepts relate to biochemistry and molecular biology. © 2013 by The International Union of Biochemistry and Molecular Biology.
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DOE Office of Scientific and Technical Information (OSTI.GOV)
Glimm, J.
2009-10-14
Progress for the past decade or so has been extraordinary. The solution of Fermat's Last Theorem [11] and of the Poincare Conjecture [1] have resolved two of the most outstanding challenges to mathematics. For both cases, deep and advanced theories and whole subfields of mathematics came into play and were developed further as part of the solutions. And still the future is wide open. Six of the original seven problems from the Clay Foundation challenge remain open, the 23 DARPA challenge problems are open. Entire new branches of mathematics have been developed, including financial mathematics and the connection between geometrymore » and string theory, proposed to solve the problems of quantized gravity. New solutions of the Einstein equations, inspired by shock wave theory, suggest a cosmology model which fits accelerating expansion of the universe possibly eliminating assumptions of 'dark matter'. Intellectual challenges and opportunities for mathematics are greater than ever. The role of mathematics in society continues to grow; with this growth comes new opportunities and some growing pains; each will be analyzed here. We see a broadening of the intellectual and professional opportunities and responsibilities for mathematicians. These trends are also occuring across all of science. The response can be at the level of the professional societies, which can work to deepen their interactions, not only within the mathematical sciences, but also with other scientific societies. At a deeper level, the choices to be made will come from individual mathematicians. Here, of course, the individual choices will be varied, and we argue for respect and support for this diversity of responses. In such a manner, we hope to preserve the best of the present while welcoming the best of the new.« less
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Advanced Mathematics. Training Module 1.303.3.77.
ERIC Educational Resources Information Center
Kirkwood Community Coll., Cedar Rapids, IA.
This document is an instructional module prepared in objective form for use by an instructor familiar with mathematics as applied to water and wastewater treatment plant operation. Included are objectives, instructor guides and student handouts. This is the third level of a three module series and is concerned with statistics, total head, steady…
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NASA Astrophysics Data System (ADS)
Cardamone, Carolin; Cobb, Bethany E.
2018-01-01
Over the last decade, web-based “citizen science” projects such as the Zooniverse have allowed volunteers and professional scientists to work together for the advancement of science. While much attention has been paid to the benefits to science from these new projects, less attention has been paid to their impact on the participants and, in particular, to the projects’ potential to impact students who might engage in these projects through coursework. We report on a study engaging students in introductory astronomy classes at the George Washington University and Wheelock College in an assignment in which each student individually contributed to a “physics” or “space” citizen science project of their choice, and groups of students worked together to understand and articulate the scientific purpose of a citizen science project to which they all contributed. Over the course of approximately four weeks, the students kept logs of their individual contributions to the project, and recorded a brief reflection on each of their visits (noting, for example, interesting or confusing things they might encounter along the way). The project culminated with each group delivering a creative presentation that demonstrated their understanding of both the science goals of the project and the value of their own contributions to the project. In this talk, we report on the experience of the students with the project and on an assessment of the students’ attitudes toward science and knowledge of the process of science completed before the introduction of the assignment and again at its conclusion.
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Statistics for wildlifers: how much and what kind?
Johnson, D.H.; Shaffer, T.L.; Newton, W.E.
2001-01-01
Quantitative methods are playing increasingly important roles in wildlife ecology and, ultimately, management. This change poses a challenge for wildlife practitioners and students who are not well-educated in mathematics and statistics. Here we give our opinions on what wildlife biologists should know about statistics, while recognizing that not everyone is inclined mathematically. For those who are, we recommend that they take mathematics coursework at least through calculus and linear algebra. They should take statistics courses that are focused conceptually , stressing the Why rather than the How of doing statistics. For less mathematically oriented wildlifers, introductory classes in statistical techniques will furnish some useful background in basic methods but may provide little appreciation of when the methods are appropriate. These wildlifers will have to rely much more on advice from statisticians. Far more important than knowing how to analyze data is an understanding of how to obtain and recognize good data. Regardless of the statistical education they receive, all wildlife biologists should appreciate the importance of controls, replication, and randomization in studies they conduct. Understanding these concepts requires little mathematical sophistication, but is critical to advancing the science of wildlife ecology.
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NASA Astrophysics Data System (ADS)
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
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Gendered Fields: Sports and Advanced Course Taking in High School
Pearson, Jennifer; Crissey, Sarah R.; Riegle-Crumb, Catherine
2010-01-01
This study explores the association between sports participation and course taking in high school, specifically comparing subjects with varied gendered legacies—science and foreign language. Analyses of a nationally representative longitudinal sample (N=5,447) of U.S. adolescents from the National Longitudinal Study of Adolescent Health and the linked Adolescent Health and Academic Achievement transcript study show that male and female athletes are more likely than non-athletes to take both advanced foreign language and Physics, largely because of their higher academic orientation. However, the association between sports participation and course taking was strongest for girls’ Physics coursework, suggesting that sports may provide girls with a unique opportunity to develop the skills and confidence to persevere in the masculine domain of science. PMID:20221304
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New Technologies in Mathematics.
ERIC Educational Resources Information Center
Sarmiento, Jorge
An understanding of past technological advancements can help educators understand the influence of new technologies in education. Inventions such as the abacus, logarithms, the slide rule, the calculating machine, computers, and electronic calculators have all found their place in mathematics education. While new technologies can be very useful,…
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Collaer, Marcia L; Hill, Erica M
2006-01-01
Visuospatial performance, assessed with the new, group-administered Judgment of Line Angle and Position test (JLAP-13), varied with sex and mathematical competence in a group of adolescents. The JLAP-13, a low-level perceptual task, was modeled after a neuropsychological task dependent upon functioning of the posterior region of the right hemisphere [Benton et al, 1994 Contributions to Neuropsychological Assessment: A Clinical Manual (New York: Oxford University Press)]. High-school boys (N = 52) performed better than girls (N = 62), with a large effect for sex (d = 1.11). Performance increased with mathematical competence, but the sex difference did not vary significantly across different levels of mathematics coursework. On the basis of earlier work, it was predicted that male, but not female, performance in line judgment would decline with disruptions to task geometry (page frame), and that the sex difference would disappear with disruptions to geometry. These predictions were supported by a number of univariate and sex-specific analyses, although an omnibus repeated-measures analysis did not detect the predicted interaction, most likely owing to limitations in power. Thus, there is partial support for the notion that attentional predispositions or strategies may contribute to visuospatial sex differences, with males more likely than females to attend to, and rely upon, internal or external representations of task geometry. Additional support for this hypothesis may require development of new measures or experimental manipulations with more powerful geometrical disruptions.
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Mathematical Modeling of Food Supply for Long Term Space Missions Using Advanced Life Support
NASA Technical Reports Server (NTRS)
Cruthirds, John E.
2003-01-01
A habitat for long duration missions which utilizes Advanced Life Support (ALS), the Bioregenerative Planetary Life Support Systems Test Complex (BIO-Plex), is currently being built at JSC. In this system all consumables will be recycled and reused. In support of this effort, a menu is being planned utilizing ALS crops that will meet nutritional and psychological requirements. The need exists in the food system to identify specific physical quantities that define life support systems from an analysis and modeling perspective. Once these quantities are defined, they need to be fed into a mathematical model that takes into consideration other systems in the BIO-Plex. This model, if successful, will be used to understand the impacts of changes in the food system on the other systems and vice versa. The Equivalent System Mass (ESM) metric has been used to describe systems and subsystems, including the food system options, in terms of the single parameter, mass. There is concern that this approach might not adequately address the important issues of food quality and psychological impact on crew morale of a supply of fiesh food items. In fact, the mass of food can also depend on the quality of the food. This summer faculty fellow project will involve creating an appropriate mathematical model for the food plan developed by the Food Processing System for BIO-Plex. The desired outcome of this work will be a quantitative model that can be applied to the various options of supplying food on long-term space missions.
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Modelling a Simple Mechanical System.
ERIC Educational Resources Information Center
Morland, Tim
1999-01-01
Provides an example of the modeling power of Mathematics, demonstrated in a piece of A-Level student coursework which was undertaken as part of the MEI Structured Mathematics scheme. A system of two masses and two springs oscillating in one dimension is found to be accurately modeled by a system of linear differential equations. (Author/ASK)
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NASA Astrophysics Data System (ADS)
Looney, Craig W.
2009-10-01
Wolfram|Alpha (http://www.wolframalpha.com/), a free internet-based mathematical engine released earlier this year, represents an orders-of magnitude advance in mathematical power freely available - without money, passwords, or downloads - on the web. Wolfram|Alpha is based on Mathematica, so it can plot functions, take derivatives, solve systems of equations, perform symbolic and numerical integration, and more. These capabilities (especially plotting and integration) will be explored in the context of topics covered in upper level undergraduate physics courses.
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A Case against Computer Symbolic Manipulation in School Mathematics Today.
ERIC Educational Resources Information Center
Waits, Bert K.; Demana, Franklin
1992-01-01
Presented are two reasons discouraging computer symbol manipulation systems use in school mathematics at present: cost for computer laboratories or expensive pocket computers; and impracticality of exact solution representations. Although development with this technology in mathematics education advances, graphing calculators are recommended to…
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Total Quality Management in the Classroom: Applications to University-Level Mathematics.
ERIC Educational Resources Information Center
Williams, Frank
1995-01-01
Describes a Total Quality Management-based system of instruction that is used in a variety of undergraduate mathematics courses. The courses that incorporate this approach include mathematics appreciation, introductory calculus, and advanced applied linear algebra. (DDR)
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Teaching Undergraduate Mathematics in Interactive Groups: How Does It Fit with Students' Learning?
ERIC Educational Resources Information Center
Sheryn, Louise; Ell, Fiona
2014-01-01
Debates about how undergraduate mathematics should be taught are informed by different views of what it is to learn and to do mathematics. In this qualitative study 10 students enrolled in an advanced undergraduate course in mathematics shared their views about how they best learn mathematics. After participating in a semester-long course in…
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Chaos: A Mathematical Introduction
NASA Astrophysics Data System (ADS)
Banks, John; Dragan, Valentina; Jones, Arthur
2003-06-01
This text presents concepts on chaos in discrete time dynamics that are accessible to anyone who has taken a first course in undergraduate calculus. Retaining its commitment to mathematical integrity, the book, originating in a popular one-semester middle level undergraduate course, constitutes the first elementary presentation of a traditionally advanced subject.
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TIMMS Advanced 2015 Assessment Frameworks
ERIC Educational Resources Information Center
Mullis, Ina V. S., Ed.; Martin, Michael O., Ed.
2014-01-01
It is critical for countries to ensure that capable secondary school students receive further preparation in advanced mathematics and science, so that they are ready to enter challenging university-level studies that prepare them for careers in science, technology, engineering, and mathematics (STEM) fields. This group of students will become the…
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Recent Advances of Malaria Parasites Detection Systems Based on Mathematical Morphology
Di Ruberto, Cecilia; Kocher, Michel
2018-01-01
Malaria is an epidemic health disease and a rapid, accurate diagnosis is necessary for proper intervention. Generally, pathologists visually examine blood stained slides for malaria diagnosis. Nevertheless, this kind of visual inspection is subjective, error-prone and time-consuming. In order to overcome the issues, numerous methods of automatic malaria diagnosis have been proposed so far. In particular, many researchers have used mathematical morphology as a powerful tool for computer aided malaria detection and classification. Mathematical morphology is not only a theory for the analysis of spatial structures, but also a very powerful technique widely used for image processing purposes and employed successfully in biomedical image analysis, especially in preprocessing and segmentation tasks. Microscopic image analysis and particularly malaria detection and classification can greatly benefit from the use of morphological operators. The aim of this paper is to present a review of recent mathematical morphology based methods for malaria parasite detection and identification in stained blood smears images. PMID:29419781
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Recent Advances of Malaria Parasites Detection Systems Based on Mathematical Morphology.
Loddo, Andrea; Di Ruberto, Cecilia; Kocher, Michel
2018-02-08
Malaria is an epidemic health disease and a rapid, accurate diagnosis is necessary for proper intervention. Generally, pathologists visually examine blood stained slides for malaria diagnosis. Nevertheless, this kind of visual inspection is subjective, error-prone and time-consuming. In order to overcome the issues, numerous methods of automatic malaria diagnosis have been proposed so far. In particular, many researchers have used mathematical morphology as a powerful tool for computer aided malaria detection and classification. Mathematical morphology is not only a theory for the analysis of spatial structures, but also a very powerful technique widely used for image processing purposes and employed successfully in biomedical image analysis, especially in preprocessing and segmentation tasks. Microscopic image analysis and particularly malaria detection and classification can greatly benefit from the use of morphological operators. The aim of this paper is to present a review of recent mathematical morphology based methods for malaria parasite detection and identification in stained blood smears images.
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ERIC Educational Resources Information Center
Markson, Craig
2013-01-01
The purpose of this study was to investigate the relationships between K-12 school leadership program graduates' descriptions of their coursework and internship preparedness in the Interstate School Leaders Licensure Consortium (ISLLC) Standards among three modes of instruction (online, hybrid, and face-to-face) and their scores on Parts I and II…
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Evidence of the Need to Prepare Prospective Teachers to Engage in Mathematics Consultations
ERIC Educational Resources Information Center
van Ingen, Sarah; Eskelson, Samuel L.; Allsopp, David
2016-01-01
The mathematics consultation represents a powerful opportunity for mathematics teachers to leverage the knowledge base of special education professionals to advance equity for students with special education needs. Yet, most teacher preparation programs do not specifically prepare prospective teachers to engage in mathematics-specific…
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Learning Mathematics in English at Basic Schools in Ghana: A Benefit or Hindrance?
ERIC Educational Resources Information Center
Fredua-Kwarteng, Eric; Ahia, Francis
2015-01-01
Facilitating effective mathematics learning and higher mathematics achievement have long been recognized as a key to the scientific and technological advancement of the African continent. While the central role that language proficiency plays in mathematics teaching and learning has received an overwhelming research attention in the literature…
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Fifty Years of A-Level Mathematics: Have Standards Changed?
ERIC Educational Resources Information Center
Jones, Ian; Wheadon, Chris; Humphries, Sara; Inglis, Matthew
2016-01-01
Advanced-level (A-level) mathematics is a high-profile qualification taken by many school leavers in England, Wales, Northern Ireland and around the world as preparation for university study. Concern has been expressed in these countries that standards in A-level mathematics have declined over time, and that school leavers enter university or the…
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Mathematical Heroes--No Longer Unsung
ERIC Educational Resources Information Center
Chin, Cynthia E.
2007-01-01
The history of Fermat's Last Theorem, recounted in the theatrical piece "Fermat's Last Tango," is a useful vehicle for introducing students to the variety of personalities, processes, and products involved in advanced mathematical investigation. The musical's accessible, informative, and positive portrayal of mathematicians and their work is…
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The Chess and Mathematics Connection: More than Just a Game
ERIC Educational Resources Information Center
Berkman, Robert M.
2004-01-01
This article describes connections between chess and mathematics, including examples of activities that connect chess with set theory, patterns, algebra, geometry, combinatorics, and Pascal's triangle. The author observes that competitive games play a dual purpose in advancing the work of mathematics educators: to reinforce a specific skill and to…
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When Traditional Won't Do: Experiences from a "Lower-Level" Mathematics Classroom
ERIC Educational Resources Information Center
Hill, Crystal
2010-01-01
As the last bell rings, students scurry to their respective classrooms, doors begin to close, and the class period begins. Imagine that you are in the hallway of the school and you look into an advanced mathematics class, into an Algebra I, Part I, mathematics class (a course designed for students who have not found success in mathematics). What…
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ERIC Educational Resources Information Center
Cohen, Miriam
2012-01-01
The outcome of American students' performances during international comparisons consistently scoring inadequately in mathematics exposes the crisis of deficient mathematics achievement thus causing deep concerns. Learners who acquire a strong theoretical foundation in mathematics at the primary level thrived later in more advanced level…
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A Multifaceted Mathematical Approach for Complex Systems
DOE Office of Scientific and Technical Information (OSTI.GOV)
Alexander, F.; Anitescu, M.; Bell, J.
2012-03-07
Applied mathematics has an important role to play in developing the tools needed for the analysis, simulation, and optimization of complex problems. These efforts require the development of the mathematical foundations for scientific discovery, engineering design, and risk analysis based on a sound integrated approach for the understanding of complex systems. However, maximizing the impact of applied mathematics on these challenges requires a novel perspective on approaching the mathematical enterprise. Previous reports that have surveyed the DOE's research needs in applied mathematics have played a key role in defining research directions with the community. Although these reports have had significantmore » impact, accurately assessing current research needs requires an evaluation of today's challenges against the backdrop of recent advances in applied mathematics and computing. To address these needs, the DOE Applied Mathematics Program sponsored a Workshop for Mathematics for the Analysis, Simulation and Optimization of Complex Systems on September 13-14, 2011. The workshop had approximately 50 participants from both the national labs and academia. The goal of the workshop was to identify new research areas in applied mathematics that will complement and enhance the existing DOE ASCR Applied Mathematics Program efforts that are needed to address problems associated with complex systems. This report describes recommendations from the workshop and subsequent analysis of the workshop findings by the organizing committee.« less
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Mathematical Models for Immunology: Current State of the Art and Future Research Directions.
Eftimie, Raluca; Gillard, Joseph J; Cantrell, Doreen A
2016-10-01
The advances in genetics and biochemistry that have taken place over the last 10 years led to significant advances in experimental and clinical immunology. In turn, this has led to the development of new mathematical models to investigate qualitatively and quantitatively various open questions in immunology. In this study we present a review of some research areas in mathematical immunology that evolved over the last 10 years. To this end, we take a step-by-step approach in discussing a range of models derived to study the dynamics of both the innate and immune responses at the molecular, cellular and tissue scales. To emphasise the use of mathematics in modelling in this area, we also review some of the mathematical tools used to investigate these models. Finally, we discuss some future trends in both experimental immunology and mathematical immunology for the upcoming years.
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Blended Learning, E-Learning and Mobile Learning in Mathematics Education
ERIC Educational Resources Information Center
Borba, Marcelo C.; Askar, Petek; Engelbrecht, Johann; Gadanidis, George; Llinares, Salvador; Aguilar, Mario Sánchez
2016-01-01
In this literature survey we focus on identifying recent advances in research on digital technology in the field of mathematics education. To conduct the survey we have used internet search engines with keywords related to mathematics education and digital technology and have reviewed some of the main international journals, including the ones in…
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A Framework for Mathematical Thinking: The Case of Linear Algebra
ERIC Educational Resources Information Center
Stewart, Sepideh; Thomas, Michael O. J.
2009-01-01
Linear algebra is one of the unavoidable advanced courses that many mathematics students encounter at university level. The research reported here was part of the first author's recent PhD study, where she created and applied a theoretical framework combining the strengths of two major mathematics education theories in order to investigate the…
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ERIC Educational Resources Information Center
What Works Clearinghouse, 2011
2011-01-01
The "University of Chicago School Mathematics Project ("UCSMP") 6-12 Curriculum" is a series of yearlong courses--(1) Transition Mathematics; (2) Algebra; (3) Geometry; (4) Advanced Algebra; (5) Functions, Statistics, and Trigonometry; and (6) Precalculus and Discrete Mathematics--emphasizing problem solving, real-world applications, and the use…
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For the Technologically Challenged: Four Free Online Tools to Liven up a Mathematics Classroom
ERIC Educational Resources Information Center
Northcote, Maria
2015-01-01
Use of technology in the mathematics classroom has the potential to advance children's learning of mathematics and enhance their attitudes about mathematics. When used in conjunction with purposeful planning, teachers can use technological tools to reinforce their pedagogical intentions and to facilitate relevant learning activities for students.…
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ERIC Educational Resources Information Center
Singer, Florence Mihaela; Sheffield, Linda Jensen; Leikin, Roza
2017-01-01
Creativity and giftedness in mathematics education research are topics of an increased interest in the education community during recent years. This introductory paper to the special issue on Mathematical Creativity and Giftedness in Mathematics Education has a twofold purpose: to offer a brief historical perspective on the study of creativity and…
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A Phenomenological Exploration of Mathematical Engagement: Approaching an Old Metaphor Anew.
ERIC Educational Resources Information Center
Handa, Yuichi
2003-01-01
Investigates the heart of the experience of mathematical engagement and the meaning derived from such activities. Analyzes dialogue between five people, two of whom are professional mathematicians, another two who are graduate students in either engineering or education, and one who lacks advanced mathematical training but maintains a positive…
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ERIC Educational Resources Information Center
Lazzaro, Christopher; Jones, Lee; Webb, David C.; Grover, Ryan; Di Giacomo, F. Tony; Marino, Katherine Adele
2016-01-01
This report will determine to what degree the AP Physics 1 and 2 and AP Calculus AB and BC frameworks are aligned with the Trends in International Mathematics and Science Study (TIMSS) Advanced Physics and Mathematics frameworks. This will enable an exploration of any differences in content coverage and levels of complexity, and will set the stage…
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Heuristic Biases in Mathematical Reasoning
ERIC Educational Resources Information Center
Inglis, Matthew; Simpson, Adrian
2005-01-01
In this paper we briefly describe the dual process account of reasoning, and explain the role of heuristic biases in human thought. Concentrating on the so-called matching bias effect, we describe a piece of research that indicates a correlation between success at advanced level mathematics and an ability to override innate and misleading…
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Widening and Increasing Post-16 Mathematics Participation: Pathways, Pedagogies and Politics
ERIC Educational Resources Information Center
Noyes, Andrew; Wake, Geoff; Drake, Pat
2011-01-01
This paper explores the potential impact of a national pilot initiative in England aimed at increasing and widening participation in advanced mathematical study through the creation of a new qualification for 16- to 18-year-olds. This proposed qualification pathway--"Use of Mathematics"--sits in parallel with long-established,…
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Fostering Teacher Learning of Conjecturing, Generalising and Justifying through Mathematics Studio
ERIC Educational Resources Information Center
Lesseig, Kristin
2016-01-01
Calls to advance students' ability to engage in mathematical reasoning practices including conjecturing, generalising and justifying (CGJ) place significant new demands on teachers. This case study examines how Mathematics Studio provided opportunities for a team of U.S. middle school teachers to learn about these practices and ways to promote…
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ERIC Educational Resources Information Center
Parker, Frieda; Bartell, Tonya Gau; Novak, Jodie D.
2017-01-01
Research advances in teaching, learning, curriculum, and assessment have not changed the continued underperformance of marginalized students in mathematics education. Culturally responsive teaching is a means of addressing the needs of these students. It is sometimes challenging, however, to convince secondary mathematics teachers about the…
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ERIC Educational Resources Information Center
Ruthven, Kenneth
2014-01-01
Reports from 13 Further Mathematics Knowledge Networks supported by the National Centre for Excellence in the Teaching of Mathematics [NCETM] are analysed. After summarizing basic characteristics of the networks regarding leadership, composition and pattern of activity, each of the following aspects is examined in greater depth: Developmental aims…
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Mathematical Literacy Teachers' Engagement with Contextual Tasks Based on Personal Finance
ERIC Educational Resources Information Center
Bansilal, Sarah; Mkhwanazi, Thokozani; Mahlabela, Patisizwe
2012-01-01
This article reports on a study carried out with a group of 108 practising Mathematical Literacy (ML) teachers who participated in an Advanced Certificate in Education (ACE) programme. The purpose of the qualitative study was to identify and describe the teachers' varying levels of engagement with mathematics tools and resources. The teachers were…
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ERIC Educational Resources Information Center
Mumcu, Hayal Yavuz
2016-01-01
The purpose of this theoretical study is to explore the relationships between the concepts of using mathematics in the daily life, mathematical applications, mathematical modelling, and mathematical literacy. As these concepts are generally taken as independent concepts in the related literature, they are confused with each other and it becomes…
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Accelerating Mathematics Achievement Using Heterogeneous Grouping
ERIC Educational Resources Information Center
Burris, Carol Corbett; Heubert, Jay P.; Levin, Henry M.
2006-01-01
This longitudinal study examined the effects of providing an accelerated mathematics curriculum in heterogeneously grouped middle school classes in a diverse suburban school district. A quasi-experimental cohort design was used to evaluate subsequent completion of advanced high school math courses as well as academic achievement. Results showed…
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Collegiate Mathematics Teaching: An Unexamined Practice
ERIC Educational Resources Information Center
Speer, Natasha M.; Smith, John P., III; Horvath, Aladar
2010-01-01
Though written accounts of collegiate mathematics teaching exist (e.g., mathematicians' reflections and analyses of learning and teaching in innovative courses), research on collegiate teachers' actual classroom teaching practice is virtually non-existent. We advance this claim based on a thorough review of peer-reviewed journals where scholarship…
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Mathematics Course Placement Using Holistic Measures: Possibilities for Community College Students
ERIC Educational Resources Information Center
Ngo, Federick; Chi, W. Edward; Park, Elizabeth So Yun
2018-01-01
Background/Context: Most community colleges across the country use a placement test to determine students' readiness for college-level coursework, yet these tests are admittedly imperfect instruments. Researchers have documented significant problems stemming from overreliance on placement testing, including placement error and misdiagnosis of…
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Robeva, Raina
2009-01-01
The remarkable advances in the field of biology in the last decade, specifically in the areas of biochemistry, genetics, genomics, proteomics, and systems biology, have demonstrated how critically important mathematical models and methods are in addressing questions of vital importance for these disciplines. There is little doubt that the need for utilizing and developing mathematical methods for biology research will only grow in the future. The rapidly increasing demand for scientists with appropriate interdisciplinary skills and knowledge, however, is not being reflected in the way undergraduate mathematics and biology courses are structured and taught in most colleges and universities nationwide. While a number of institutions have stepped forward and addressed this need by creating and offering interdisciplinary courses at the juncture of mathematics and biology, there are still many others at which there is little, if any, interdisciplinary interaction between the curricula. This chapter describes an interdisciplinary course and a textbook in mathematical biology developed collaboratively by faculty from Sweet Briar College and the University of Virginia School of Medicine. The course and textbook are designed to provide a bridge between the mathematical and biological sciences at the lower undergraduate level. The course is developed for and is being taught in a liberal arts setting at Sweet Briar College, Virginia, but some of the advanced modules are used in a course at the University of Virginia for advanced undergraduate and beginning graduate students. The individual modules are relatively independent and can be used as stand-alone projects in conventional mathematics and biology courses. Except for the introductory material, the course and textbook topics are based on current biomedical research.
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Drone Class: Keeping Coursework Current as Technology Advances
ERIC Educational Resources Information Center
Hanssen, Sarah
2016-01-01
Today's students prioritize employment; they want to be sure that there will be work for them upon graduation. Film and media students, in particular, need a long list of computer software and film equipment skills on their resumes, especially newer technologies that professionals in the workforce have not yet mastered. Consider, in this regard,…
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The semantic system is involved in mathematical problem solving.
Zhou, Xinlin; Li, Mengyi; Li, Leinian; Zhang, Yiyun; Cui, Jiaxin; Liu, Jie; Chen, Chuansheng
2018-02-01
Numerous studies have shown that the brain regions around bilateral intraparietal cortex are critical for number processing and arithmetical computation. However, the neural circuits for more advanced mathematics such as mathematical problem solving (with little routine arithmetical computation) remain unclear. Using functional magnetic resonance imaging (fMRI), this study (N = 24 undergraduate students) compared neural bases of mathematical problem solving (i.e., number series completion, mathematical word problem solving, and geometric problem solving) and arithmetical computation. Direct subject- and item-wise comparisons revealed that mathematical problem solving typically had greater activation than arithmetical computation in all 7 regions of the semantic system (which was based on a meta-analysis of 120 functional neuroimaging studies on semantic processing). Arithmetical computation typically had greater activation in the supplementary motor area and left precentral gyrus. The results suggest that the semantic system in the brain supports mathematical problem solving. Copyright © 2017 Elsevier Inc. All rights reserved.
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Implications of Eighth Grade Algebra I on High School Mathematics Achievement
ERIC Educational Resources Information Center
Bayard, Robert
2012-01-01
As of 2008, approximately 40% of eighth grade students in the United States enroll in Algebra I (National Council of Teachers of Mathematics, 2008). Although research has shown that students have more opportunities to take advanced mathematics courses by taking eighth grade Algebra I, in the United States, approximately only one-third to one-half…
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Mathematics Readiness of First-Year University Students
ERIC Educational Resources Information Center
Atuahene, Francis; Russell, Tammy A.
2016-01-01
The majority of high school students, particularly underrepresented minorities (URMs) from low socioeconomic backgrounds are graduating from high school less prepared academically for advanced-level college mathematics. Using 2009 and 2010 course enrollment data, several statistical analyses (multiple linear regression, Cochran Mantel Haenszel…
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Influence of a Mathematics Teachers' Circle on Elementary Teachers' Use of Problem Solving
ERIC Educational Resources Information Center
Garner, Mary L.; Watson, Virginia; Rogers, Beth; Head, Catherine
2017-01-01
Math teachers' circles are a form of professional development that is recommended by the Conference Board of the Mathematical Sciences in their publication Mathematical Education of Teachers II (2012). However, little research has been published on how effective math teachers' circles are in advancing the mathematical knowledge of teachers and…
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ERIC Educational Resources Information Center
Ko, Yi-Yin; Knuth, Eric
2009-01-01
In advanced mathematical thinking, proving and refuting are crucial abilities to demonstrate whether and why a proposition is true or false. Learning proofs and counterexamples within the domain of continuous functions is important because students encounter continuous functions in many mathematics courses. Recently, a growing number of studies…
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Consumer Economics and Consumer Mathematics Textbooks.
ERIC Educational Resources Information Center
Eastern Michigan Univ., Ypsilanti. National Inst. for Consumer Education.
This publication lists a selection of consumer economics and consumer mathematics textbooks available for review from the National Institute for Consumer Education. Twenty-six textbooks for the secondary level are cited. Nine advanced level texts are also listed. These texts are generally considered college level texts but could be adapted for…
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NASA Astrophysics Data System (ADS)
Díaz, Verónica; Poblete, Alvaro
2017-07-01
This paper describes part of a research and development project carried out in public elementary schools. Its objective was to update the mathematical and didactic knowledge of teachers in two consecutive levels in urban and rural public schools of Region de Los Lagos and Region de Los Rios of southern Chile. To that effect, and by means of an advanced training project based on a professional competences model, didactic interventions based on types of problems and types of mathematical competences with analysis of contents and learning assessment were designed. The teachers' competence regarding the didactic strategy used and its results, as well as the students' learning achievements are specified. The project made possible to validate a strategy of lifelong improvement in mathematics, based on the professional competences of teachers and their didactic transposition in the classroom, as an alternative to consolidate learning in areas considered vulnerable in two regions of the country.
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ERIC Educational Resources Information Center
Kennedy, Michael J.; Wexler, Jade
2013-01-01
Literacy and other content-specific demands presented within science, technology, engineering, and mathematics (STEM) coursework can overwhelm all students and especially students with learning challenges. Although STEM content is often complex in itself (e.g., numerous multisyllabic words, lengthy expository texts, abstract concepts), some…
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ERIC Educational Resources Information Center
Hwang, Jiwon; Riccomini, Paul J.
2016-01-01
Requirements for reasoning, explaining, and generalizing mathematical concepts increase as students advance through the educational system; hence, improving overall mathematical proficiency is critical. Mathematical proficiency requires students to interpret quantities and their corresponding relationships during problem-solving tasks as well as…
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The Use of Software in Academic Stream High School Mathematics Teaching
ERIC Educational Resources Information Center
Clay, Simon; Fotou, Nikolaos; Monaghan, John
2017-01-01
This paper reports on classroom observations of senior high school mathematics lessons with a focus on the use of digital technology. The observations were of teachers enrolled in an in-service course, Teaching Advanced Mathematics. The paper reports selected results and comments on: software that was observed to have been used; the use (or not)…
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Science and Mathematics in Astronomy
NASA Technical Reports Server (NTRS)
Woolack, Edward
2009-01-01
A brief historical introduction to the development of observational astronomy will be presented. The close historical relationship between the successful application of mathematical concepts and advances in astronomy will be presented. A variety of simple physical demonstrations, hands-on group activities, and puzzles will be used to understand how the properties of light can be used to understand the contents of our universe.
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How Young Children View Mathematical Representations: A Study Using Eye-Tracking Technology
ERIC Educational Resources Information Center
Bolden, David; Barmby, Patrick; Raine, Stephanie; Gardner, Matthew
2015-01-01
Background: It has been shown that mathematical representations can aid children's understanding of mathematical concepts but that children can sometimes have difficulty in interpreting them correctly. New advances in eye-tracking technology can help in this respect because it allows data to be gathered concerning children's focus of attention and…
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The Technological Enframing of Mathematics Education
ERIC Educational Resources Information Center
Thornton, Steve
2014-01-01
In this paper I seek to critique pervasive notions of what counts in mathematics education using Heidegger's notion of the technological enframing. I suggest that early childhood and schooling have become technologies in themselves, casting students and teachers as part of the standing reserve within the inexorable drive for economic advancement.…
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Hua Loo-Keng and the Movement of Popularizing Mathematics in the People's Republic of China
ERIC Educational Resources Information Center
Richard, Jean W.
2010-01-01
This paper examines the mathematical and teaching practices of the renowned self-taught Chinese mathematician Hua Loo-keng in the movement of popularizing mathematics in the People's Republic of China. In this movement, Hua Loo-keng taught industrial workers and peasants with a low level of education how to use fairly advanced mathematical methods…
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NASA Astrophysics Data System (ADS)
Burt, Stacey M.
The problem addressed in this project is the lack of mathematically gifted females choosing to pursue advanced science, technology, engineering, and mathematics (STEM) courses in secondary education due to deficiencies in self-efficacy. The purpose of this project was to study the effects of a child-guided robotics program as it relates to the self-efficacy of mathematically gifted 6th grade female students and their future course choices in the advanced STEM content areas. This mixed-model study utilized a STEM attitude survey, artifacts, interviews, field notes, and standardized tests as measurement tools. Significance was found between genders in the treatment group for the standardized science scores, indicating closure in the achievement gap. Research suggests that STEM enrichment is beneficial for mathematically gifted females.
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Mathematical modelling of skeletal repair.
MacArthur, B D; Please, C P; Taylor, M; Oreffo, R O C
2004-01-23
Tissue engineering offers significant promise as a viable alternative to current clinical strategies for replacement of damaged tissue as a consequence of disease or trauma. Since mathematical modelling is a valuable tool in the analysis of complex systems, appropriate use of mathematical models has tremendous potential for advancing the understanding of the physical processes involved in such tissue reconstruction. In this review, the potential benefits, and limitations, of theoretical modelling in tissue engineering applications are examined with specific emphasis on tissue engineering of bone. A central tissue engineering approach is the in vivo implantation of a biomimetic scaffold seeded with an appropriate population of stem or progenitor cells. This review will therefore consider the theory behind a number of key factors affecting the success of such a strategy including: stem cell or progenitor population expansion and differentiation ex vivo; cell adhesion and migration, and the effective design of scaffolds; and delivery of nutrient to avascular structures. The focus will be on current work in this area, as well as on highlighting limitations and suggesting possible directions for future work to advance health-care for all.
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Mathematics anxiety and mathematics achievement
NASA Astrophysics Data System (ADS)
Sherman, Brian F.; Wither (Post.), David P.
2003-09-01
This paper is a distillation of the major result from the 1998 Ph.D. thesis of the late David Wither. It details a longitudinal study over five years of the relationship between mathematics anxiety and mathematics achievement. It starts from the already well documented negative correlation between the two, and seeks to establish one of the three hypotheses—that mathematics anxiety causes an impairment of mathematics achievement; that lack of mathematics achievement causes mathematics anxiety; or that there is a third underlying cause of the two.
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Preservice Elementary Teachers and the Fundamentals of Probability
ERIC Educational Resources Information Center
Dollard, Clark
2011-01-01
This study examined how preservice elementary teachers think about situations involving probability. Twenty-four preservice elementary teachers who had not yet studied probability as part of their preservice elementary mathematics coursework were interviewed using a task-based interview. The participants' responses showed a wide variety of…
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ERIC Educational Resources Information Center
Rule, Audrey C.; Stefanich, Greg P.
2012-01-01
Students with sensory or motor disabilities are often dissuaded from pursuing science, technology, engineering, or mathematics (STEM) careers. They are frequently under-prepared to succeed in post-secondary STEM coursework because of inadequate high school preparation and limited post-secondary accommodations. A two-day working conference…
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ERIC Educational Resources Information Center
Rozek, Christopher S.; Hyde, Janet S.; Svoboda, Ryan C.; Hulleman, Chris S.; Harackiewicz, Judith M.
2015-01-01
A foundation in science, technology, engineering, and mathematics (STEM) education is critical for students' college and career advancement, but many U.S. students fail to take advanced mathematics and science classes in high school. Research has neglected the potential role of parents in enhancing students' motivation for pursuing STEM courses.…
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Nathan, Mitchell J; Walkington, Candace
2017-01-01
We develop a theory of grounded and embodied mathematical cognition (GEMC) that draws on action-cognition transduction for advancing understanding of how the body can support mathematical reasoning. GEMC proposes that participants' actions serve as inputs capable of driving the cognition-action system toward associated cognitive states. This occurs through a process of transduction that promotes valuable mathematical insights by eliciting dynamic depictive gestures that enact spatio-temporal properties of mathematical entities. Our focus here is on pre-college geometry proof production. GEMC suggests that action alone can foster insight but is insufficient for valid proof production if action is not coordinated with language systems for propositionalizing general properties of objects and space. GEMC guides the design of a video game-based learning environment intended to promote students' mathematical insights and informal proofs by eliciting dynamic gestures through in-game directed actions. GEMC generates several hypotheses that contribute to theories of embodied cognition and to the design of science, technology, engineering, and mathematics (STEM) education interventions. Pilot study results with a prototype video game tentatively support theory-based predictions regarding the role of dynamic gestures for fostering insight and proof-with-insight, and for the role of action coupled with language to promote proof-with-insight. But the pilot yields mixed results for deriving in-game interventions intended to elicit dynamic gesture production. Although our central purpose is an explication of GEMC theory and the role of action-cognition transduction, the theory-based video game design reveals the potential of GEMC to improve STEM education, and highlights the complex challenges of connecting embodiment research to education practices and learning environment design.
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Middle School Mathematics: 2006-07 to 2008-09. Impact Evaluation. E&R Report No. 10.11
ERIC Educational Resources Information Center
Paeplow, Colleen
2010-01-01
In 2006-07, seven Wake County Public School System (WCPSS) middle schools piloted Algebraic Thinking as an alternate approach to teaching middle school mathematics. Algebraic Thinking was developed to help students in grade 6 reach higher mathematics courses by combining the regular and advanced middle school mathematics courses into one…
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Socioeconomic variation, number competence, and mathematics learning difficulties in young children.
Jordan, Nancy C; Levine, Susan C
2009-01-01
As a group, children from disadvantaged, low-income families perform substantially worse in mathematics than their counterparts from higher-income families. Minority children are disproportionately represented in low-income populations, resulting in significant racial and social-class disparities in mathematics learning linked to diminished learning opportunities. The consequences of poor mathematics achievement are serious for daily functioning and for career advancement. This article provides an overview of children's mathematics difficulties in relation to socioeconomic status (SES). We review foundations for early mathematics learning and key characteristics of mathematics learning difficulties. A particular focus is the delays or deficiencies in number competencies exhibited by low-income children entering school. Weaknesses in number competence can be reliably identified in early childhood, and there is good evidence that most children have the capacity to develop number competence that lays the foundation for later learning.
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Johannes Kepler and his contribution to Applied Mathematics
NASA Astrophysics Data System (ADS)
Pichler, Franz
The worldwide renown of Johannes Kepler is based above all on his contribution to astronomy. The 3 Kepler's Laws relating to the planets are well known and will ensure that his name is remembered by future generations. Besides his astronomical work, Kepler also made important contributions in the fields of theology, physics, phylosophy and mathematics. The actual paper discusses the advances by Kepler in the application of mathematics to the solution of "real life problems". The author made a concise account of some of the disciples by Kepler: Klug, Wieleitner, Caspar, Hammer, paying particular attention to works published by Kepler while he was living in Linz (1612-1628). The Kepler's contribution to applied mathematics is an example supremely worthy of emulation, the author concludes.
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ERIC Educational Resources Information Center
Clarke, Doug; Roche, Anne; Wilkie, Karina; Wright, Vince; Brown, Jill; Downton, Ann; Horne, Marj; Knight, Rose; McDonough, Andrea; Sexton, Matthew; Worrall, Chris
2013-01-01
As part of a teacher professional learning project in mathematics education, university mathematics educators taught demonstration lessons in project primary schools. These lessons were part of a "pre-brief, teaching, and debrief" process, in which up to eight teachers observed each lesson. Using brief questionnaires completed in advance of the…
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Role of linguistic skills in fifth-grade mathematics.
Kleemans, Tijs; Segers, Eliane; Verhoeven, Ludo
2018-03-01
The current study investigated the direct and indirect relations between basic linguistic skills (i.e., phonological skills and grammatical ability) and advanced linguistic skills (i.e., academic vocabulary and verbal reasoning), on the one hand, and fifth-grade mathematics (i.e., arithmetic, geometry, and fractions), on the other, taking working memory and general intelligence into account and controlling for socioeconomic status, age, and gender. The results showed the basic linguistic representations of 167 fifth graders to be indirectly related to their geometric and fraction skills via arithmetic. Furthermore, advanced linguistic skills were found to be directly related to geometry and fractions after controlling for arithmetic. It can be concluded that linguistic skills directly and indirectly relate to mathematical ability in the upper grades of primary education, which highlights the importance of paying attention to such skills in the school curriculum. Copyright © 2017 Elsevier Inc. All rights reserved.
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E-Sponsor Mentoring: Support for Students in Developmental Education
ERIC Educational Resources Information Center
Hodges, Russ; Payne, Emily Miller; Dietz, Albert; Hajovsky, Michelle
2014-01-01
Researchers investigated the use of two mentoring programs for students who were part of a support component of Fundamentals of Conceptual Understanding and Success (FOCUS), a comprehensive intervention grant for students enrolled in developmental mathematics coursework at a large public Texas university. The technology-based mentoring program,…
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ERIC Educational Resources Information Center
Schmidt, Kathleen M.; Kelter, Paul
2017-01-01
Little is known about the impact of science fair participation on student science inquiry learning. Furthermore, there is only a small research base relating to science fair participation and student attitudes toward science, technology, engineering, and mathematics (STEM) careers and coursework. In this study, 41 seventh-grade science fair…
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ERIC Educational Resources Information Center
McEvoy, Suzanne
2012-01-01
With the changing U.S. demographics, higher numbers of diverse, low-income, first-generation students are underprepared for the academic rigors of four-year institutions oftentimes requiring assistance, and remedial and/or developmental coursework in English and mathematics. Without intervention approaches these students are at high risk for…
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Virtual Mentoring and Persistence in STEM for Students with Disabilities
ERIC Educational Resources Information Center
Gregg, Noel; Galyardt, April; Wolfe, Gerri; Moon, Nathan; Todd, Robert
2017-01-01
The purpose of this study was to investigate the effectiveness of virtual mentoring for enhancing the persistence of secondary and postsecondary students with disabilities engaged in science, technology, engineering, and mathematics (STEM) learning. The student participants (N = 189) were all engaged in STEM coursework and enrolled in a…
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Advancing Inclusive Mathematics Education: Strategies and Resources for Effective IEP Practices
ERIC Educational Resources Information Center
Tan, Paulo
2017-01-01
Personal experiences promoting inclusive mathematics education for my own child have mostly been met with staunch resistance on the part of educators, and a resulting breakdown in collaborative efforts during individualized education program (IEP) meetings. However, I found that utilizing certain strategies and introducing innovative mathematics…
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ERIC Educational Resources Information Center
Joyce, Christopher; Hine, Gregory; Anderton, Ryan
2017-01-01
In recent years, there has been a significant decline in the rate of participation in secondary school mathematics courses within Australia, particularly in advanced or higher level mathematics. The aim of this study was to investigate how grade point average (GPA) differed between five health science degrees at an Australian university. The…
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NASA Technical Reports Server (NTRS)
Aiken, E. W.
1980-01-01
A mathematical model of an advanced helicopter is described. The model is suitable for use in control/display research involving piloted simulation. The general design approach for the six degree of freedom equations of motion is to use the full set of nonlinear gravitational and inertial terms of the equations and to express the aerodynamic forces and moments as the reference values and first order terms of a Taylor series expansion about a reference trajectory defined as a function of longitudinal airspeed. Provisions for several different specific and generic flight control systems are included in the model. The logic required to drive various flight control and weapon delivery symbols on a pilot's electronic display is also provided. Finally, the model includes a simplified representation of low altitude wind and turbulence effects. This model was used in a piloted simulator investigation of the effects of control system and display variations for an attack helicopter mission.
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Current advances in mathematical modeling of anti-cancer drug penetration into tumor tissues.
Kim, Munju; Gillies, Robert J; Rejniak, Katarzyna A
2013-11-18
Delivery of anti-cancer drugs to tumor tissues, including their interstitial transport and cellular uptake, is a complex process involving various biochemical, mechanical, and biophysical factors. Mathematical modeling provides a means through which to understand this complexity better, as well as to examine interactions between contributing components in a systematic way via computational simulations and quantitative analyses. In this review, we present the current state of mathematical modeling approaches that address phenomena related to drug delivery. We describe how various types of models were used to predict spatio-temporal distributions of drugs within the tumor tissue, to simulate different ways to overcome barriers to drug transport, or to optimize treatment schedules. Finally, we discuss how integration of mathematical modeling with experimental or clinical data can provide better tools to understand the drug delivery process, in particular to examine the specific tissue- or compound-related factors that limit drug penetration through tumors. Such tools will be important in designing new chemotherapy targets and optimal treatment strategies, as well as in developing non-invasive diagnosis to monitor treatment response and detect tumor recurrence.
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Students in Rural Schools Have Limited Access to Advanced Mathematics Courses. Issue Brief No. 7
ERIC Educational Resources Information Center
Graham, Suzanne E.
2009-01-01
This Carsey brief reveals that students in rural areas and small towns have less access to higher-level mathematics courses than students in urban settings, which results in serious educational consequences, including lower scores on assessment tests and fewer qualified students entering science, technology, engineering, and mathematics (STEM) job…
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Research Methods in Healthcare Epidemiology and Antimicrobial Stewardship-Mathematical Modeling.
Barnes, Sean L; Kasaie, Parastu; Anderson, Deverick J; Rubin, Michael
2016-11-01
Mathematical modeling is a valuable methodology used to study healthcare epidemiology and antimicrobial stewardship, particularly when more traditional study approaches are infeasible, unethical, costly, or time consuming. We focus on 2 of the most common types of mathematical modeling, namely compartmental modeling and agent-based modeling, which provide important advantages-such as shorter developmental timelines and opportunities for extensive experimentation-over observational and experimental approaches. We summarize these advantages and disadvantages via specific examples and highlight recent advances in the methodology. A checklist is provided to serve as a guideline in the development of mathematical models in healthcare epidemiology and antimicrobial stewardship. Infect Control Hosp Epidemiol 2016;1-7.
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Walsh, Kathleen A
2008-01-01
This research explored nursing students' mathematics anxiety, beliefs about mathematics, and mathematics self-efficacy in relation to performance on a medication mathematics test. Results revealed that the participants experienced some mathematics anxiety and had positive beliefs about mathematics and mathematics self-efficacy. Qualitative responses indicated that participants worried about the consequences of failing the medication mathematics test and that practice helped reduce this anxiety. In addition, participants acknowledged the importance of correct dosage calculations for nursing practice. Implications for nursing education are discussed.
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Engaging Pre-Service Teachers in Multinational, Multi-Campus Scientific and Mathematical Inquiry
ERIC Educational Resources Information Center
Wilhelm, Jennifer Anne; Smith, Walter S.; Walters, Kendra L.; Sherrod, Sonya E.; Mulholland, Judith
2008-01-01
Pre-service teachers from Texas and Indiana in the United States and from Queensland, Australia, observed the Moon for a semester and compared and contrasted their findings in asynchronous Internet discussion groups. The 188 pre-service teachers were required to conduct inquiry investigations for their methods coursework which included an initial…
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ERIC Educational Resources Information Center
Unlu, Melihan; Ertekin, Erhan; Dilmac, Bulent
2017-01-01
The purpose of the research is to investigate the relationships between self-efficacy beliefs toward mathematics, mathematics anxiety and self-efficacy beliefs toward mathematics teaching, mathematics teaching anxiety variables and testing the relationships between these variables with structural equation model. The sample of the research, which…
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On the role of visual experience in mathematical development: Evidence from blind mathematicians.
Amalric, Marie; Denghien, Isabelle; Dehaene, Stanislas
2018-04-01
Advanced mathematical reasoning, regardless of domain or difficulty, activates a reproducible set of bilateral brain areas including intraparietal, inferior temporal and dorsal prefrontal cortex. The respective roles of genetics, experience and education in the development of this math-responsive network, however, remain unresolved. Here, we investigate the role of visual experience by studying the exceptional case of three professional mathematicians who were blind from birth (n=1) or became blind during childhood (n=2). Subjects were scanned with fMRI while they judged the truth value of spoken mathematical and nonmathematical statements. Blind mathematicians activated the classical network of math-related areas during mathematical reflection, similar to that found in a group of sighted professional mathematicians. Thus, brain networks for advanced mathematical reasoning can develop in the absence of visual experience. Additional activations were found in occipital cortex, even in individuals who became blind during childhood, suggesting that either mental imagery or a more radical repurposing of visual cortex may occur in blind mathematicians. Copyright © 2017 The Authors. Published by Elsevier Ltd.. All rights reserved.
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Clickers and Classroom Voting in a Transition to Advanced Mathematics Course
ERIC Educational Resources Information Center
Lockard, Shannon R.; Metcalf, Rebecca C.
2015-01-01
Clickers and classroom voting are used across a number of disciplines in a variety of institutions. There are several papers that describe the use of clickers in mathematics classrooms such as precalculus, calculus, statistics, and even differential equations. This paper describes a method of incorporating clickers and classroom voting in a…
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ERIC Educational Resources Information Center
Harris, David E.; Hannum, Lynn; Gupta, Sat
2004-01-01
A study of students of a traditional two-semester Anatomy and Physiology class was made to determine factors that contributed to success in the coursework. The test established a co-relation between the amount of study in mathematics and science done previously in school and final grades in the subject.
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ERIC Educational Resources Information Center
Horn, Ilana Seidel; Campbell, Sara Sunshine
2015-01-01
A common critique of teacher education centres on the gap between coursework and schools, with ample evidence that novice teachers seldom bring ambitious forms of instruction into classroom placements. We describe a 6-year design experiment conducted in a university teacher education program secondary mathematics methods course focused squarely on…
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Explorations with 142857: Connecting the Elementary with the Advanced
ERIC Educational Resources Information Center
Flores, Alfinio
2008-01-01
University mathematics education courses do not always provide the opportunity to make connections between advanced topics and the mathematics taught in middle school or high school. Activities like the ones described in this article invite such connections. Analyzing concrete or particular examples provides a better grasp of abstract concepts.…
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ERIC Educational Resources Information Center
Loch, Birgit; Jordan, Camilla R.; Lowe, Tim W.; Mestel, Ben D.
2014-01-01
Basic calculus skills that are prerequisites for advanced mathematical studies continue to be a problem for a significant proportion of higher education students. While there are many types of revision material that could be offered to students, in this paper we investigate whether short, narrated video recordings of mathematical explanations…
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Advanced classical thermodynamics
NASA Astrophysics Data System (ADS)
Emanuel, George
The theoretical and mathematical foundations of thermodynamics are presented in an advanced text intended for graduate engineering students. Chapters are devoted to definitions and postulates, the fundamental equation, equilibrium, the application of Jacobian theory to thermodynamics, the Maxwell equations, stability, the theory of real gases, critical-point theory, and chemical thermodynamics. Diagrams, graphs, tables, and sample problems are provided.
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The Effect of Mathematics Research on Mathematics Majors' Mathematical Beliefs
ERIC Educational Resources Information Center
Goodson, Joshua E.
2012-01-01
This is a dissertation about the beliefs that mathematics majors have about mathematics and how their beliefs are affected by the introduction of mathematics research. The mathematics research presented to the students dealt with counting regular orbits of an action. Research has shown that the beliefs that teachers hold about mathematics…
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Teaching undergraduate mathematics in interactive groups: how does it fit with students' learning?
NASA Astrophysics Data System (ADS)
Sheryn, Louise; Ell, Fiona
2014-08-01
Debates about how undergraduate mathematics should be taught are informed by different views of what it is to learn and to do mathematics. In this qualitative study 10 students enrolled in an advanced undergraduate course in mathematics shared their views about how they best learn mathematics. After participating in a semester-long course in combinatorics, taught using a non-traditional, formal group work approach, the 10 students shared their views about how such an approach fitted in with their experience of learning mathematics. A descriptive thematic analysis of the students' responses revealed that despite being very comfortable with the traditional approach to learning new mathematics, most students were open to a formal group work approach and could see benefits from it after their participation. The students' prior conceptions of the goal of undergraduate mathematics learning and their view of themselves as 'mathematicians' framed their experience of learning mathematics in a non-traditional class.
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Teachers' Mathematics as Mathematics-at-Work
ERIC Educational Resources Information Center
Bednarz, Nadine; Proulx, Jérôme
2017-01-01
Through recognising mathematics teachers as professionals who use mathematics in their workplace, this article traces a parallel between the mathematics enacted by teachers in their practice and the mathematics used in workplaces found in studies of professionals (e.g. nurses, engineers, bankers). This parallel is developed through the five…
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The Impact of Taking a College Pre-Calculus Course on Students' College Calculus Performance
ERIC Educational Resources Information Center
Sonnert, Gerhard; Sadler, Philip M.
2014-01-01
Poor performance on placement exams keeps many US students who pursue a STEM (science, technology, engineering, mathematics) career from enrolling directly in college calculus. Instead, they must take a pre-calculus course that aims to better prepare them for later calculus coursework. In the USA, enrollment in pre-calculus courses in two- and…
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On the mathematical modeling of wound healing angiogenesis in skin as a reaction-transport process.
Flegg, Jennifer A; Menon, Shakti N; Maini, Philip K; McElwain, D L Sean
2015-01-01
Over the last 30 years, numerous research groups have attempted to provide mathematical descriptions of the skin wound healing process. The development of theoretical models of the interlinked processes that underlie the healing mechanism has yielded considerable insight into aspects of this critical phenomenon that remain difficult to investigate empirically. In particular, the mathematical modeling of angiogenesis, i.e., capillary sprout growth, has offered new paradigms for the understanding of this highly complex and crucial step in the healing pathway. With the recent advances in imaging and cell tracking, the time is now ripe for an appraisal of the utility and importance of mathematical modeling in wound healing angiogenesis research. The purpose of this review is to pedagogically elucidate the conceptual principles that have underpinned the development of mathematical descriptions of wound healing angiogenesis, specifically those that have utilized a continuum reaction-transport framework, and highlight the contribution that such models have made toward the advancement of research in this field. We aim to draw attention to the common assumptions made when developing models of this nature, thereby bringing into focus the advantages and limitations of this approach. A deeper integration of mathematical modeling techniques into the practice of wound healing angiogenesis research promises new perspectives for advancing our knowledge in this area. To this end we detail several open problems related to the understanding of wound healing angiogenesis, and outline how these issues could be addressed through closer cross-disciplinary collaboration.
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On the mathematical modeling of wound healing angiogenesis in skin as a reaction-transport process
Flegg, Jennifer A.; Menon, Shakti N.; Maini, Philip K.; McElwain, D. L. Sean
2015-01-01
Over the last 30 years, numerous research groups have attempted to provide mathematical descriptions of the skin wound healing process. The development of theoretical models of the interlinked processes that underlie the healing mechanism has yielded considerable insight into aspects of this critical phenomenon that remain difficult to investigate empirically. In particular, the mathematical modeling of angiogenesis, i.e., capillary sprout growth, has offered new paradigms for the understanding of this highly complex and crucial step in the healing pathway. With the recent advances in imaging and cell tracking, the time is now ripe for an appraisal of the utility and importance of mathematical modeling in wound healing angiogenesis research. The purpose of this review is to pedagogically elucidate the conceptual principles that have underpinned the development of mathematical descriptions of wound healing angiogenesis, specifically those that have utilized a continuum reaction-transport framework, and highlight the contribution that such models have made toward the advancement of research in this field. We aim to draw attention to the common assumptions made when developing models of this nature, thereby bringing into focus the advantages and limitations of this approach. A deeper integration of mathematical modeling techniques into the practice of wound healing angiogenesis research promises new perspectives for advancing our knowledge in this area. To this end we detail several open problems related to the understanding of wound healing angiogenesis, and outline how these issues could be addressed through closer cross-disciplinary collaboration. PMID:26483695
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ERIC Educational Resources Information Center
Hebert, Michael A.; Powell, Sarah R.
2016-01-01
Increasingly, students are expected to write about mathematics. Mathematics writing may be informal (e.g., journals, exit slips) or formal (e.g., writing prompts on high-stakes mathematics assessments). In order to develop an effective mathematics-writing intervention, research needs to be conducted on how students organize mathematics writing and…
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Access to Mathematics: "A Possessive Investment in Whiteness"
ERIC Educational Resources Information Center
Battey, Dan
2013-01-01
While mathematics education gives access to elite universities, higher-paying jobs, and the accumulation of wealth, it continues to be framed as a neutral curricular domain. However, data continually show differential access provided to students of color and their White peers through tracking, the availability of Advance Placement courses, and…
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Teaching Mathematical Modeling in Mathematics Education
ERIC Educational Resources Information Center
Saxena, Ritu; Shrivastava, Keerty; Bhardwaj, Ramakant
2016-01-01
Mathematics is not only a subject but it is also a language consisting of many different symbols and relations. Taught as a compulsory subject up the 10th class, students are then able to choose whether or not to study mathematics as a main subject. The present paper discusses mathematical modeling in mathematics education. The article provides…
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ERIC Educational Resources Information Center
Papanastasiou, Elena C.; Zembylas, Michalinos
2006-01-01
The data obtained from high-school seniors for the Third International Mathematics and Science Study (TIMSS) for the country of Cyprus appear to be contradictory. Although Cypriot students did not perform well in mathematics in elementary school, middle school, and in the non-advanced sectors of high school, students in advanced mathematics…
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Mathematical Modeling and Pure Mathematics
ERIC Educational Resources Information Center
Usiskin, Zalman
2015-01-01
Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics. The purpose of this article is to illustrate how the mathematical modeling that is present in everyday situations can be naturally embedded in…
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ERIC Educational Resources Information Center
Sella, Francesco; Sader, Elie; Lolliot, Simon; Cohen Kadosh, Roi
2016-01-01
Recent studies have highlighted the potential role of basic numerical processing in the acquisition of numerical and mathematical competences. However, it is debated whether high-level numerical skills and mathematics depends specifically on basic numerical representations. In this study mathematicians and nonmathematicians performed a basic…
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Ni, Bing-Jie; Yuan, Zhiguo
2015-12-15
Nitrous oxide (N2O) can be emitted from wastewater treatment contributing to its greenhouse gas footprint significantly. Mathematical modeling of N2O emissions is of great importance toward the understanding and reduction of the environmental impact of wastewater treatment systems. This article reviews the current status of the modeling of N2O emissions from wastewater treatment. The existing mathematical models describing all the known microbial pathways for N2O production are reviewed and discussed. These included N2O production by ammonia-oxidizing bacteria (AOB) through the hydroxylamine oxidation pathway and the AOB denitrification pathway, N2O production by heterotrophic denitrifiers through the denitrification pathway, and the integration of these pathways in single N2O models. The calibration and validation of these models using lab-scale and full-scale experimental data is also reviewed. We conclude that the mathematical modeling of N2O production, while is still being enhanced supported by new knowledge development, has reached a maturity that facilitates the estimation of site-specific N2O emissions and the development of mitigation strategies for a wastewater treatment plant taking into the specific design and operational conditions of the plant. Copyright © 2015 Elsevier Ltd. All rights reserved.
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Taking the mystery out of mathematical model applications to karst aquifers—A primer
Kuniansky, Eve L.
2014-01-01
Advances in mathematical model applications toward the understanding of the complex flow, characterization, and water-supply management issues for karst aquifers have occurred in recent years. Different types of mathematical models can be applied successfully if appropriate information is available and the problems are adequately identified. The mathematical approaches discussed in this paper are divided into three major categories: 1) distributed parameter models, 2) lumped parameter models, and 3) fitting models. The modeling approaches are described conceptually with examples (but without equations) to help non-mathematicians understand the applications.
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ERIC Educational Resources Information Center
Bates, Alan B.; Latham, Nancy; Kim, Jin-ah
2011-01-01
This study examined preservice teachers' mathematics self-efficacy and mathematics teaching efficacy and compared them to their mathematical performance. Participants included 89 early childhood preservice teachers at a Midwestern university. Instruments included the Mathematics Self-Efficacy Scale (MSES), Mathematics Teaching Efficacy Beliefs…
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ERIC Educational Resources Information Center
Darlington, Ellie
2014-01-01
This article describes part of a study which investigated the role of questions in students' approaches to learning mathematics at the secondary-tertiary interface, focussing on the enculturation of students at the University of Oxford. Use of the Mathematical Assessment Task Hierarchy taxonomy revealed A-level Mathematics and Further Mathematics…
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Mathematical modeling in realistic mathematics education
NASA Astrophysics Data System (ADS)
Riyanto, B.; Zulkardi; Putri, R. I. I.; Darmawijoyo
2017-12-01
The purpose of this paper is to produce Mathematical modelling in Realistics Mathematics Education of Junior High School. This study used development research consisting of 3 stages, namely analysis, design and evaluation. The success criteria of this study were obtained in the form of local instruction theory for school mathematical modelling learning which was valid and practical for students. The data were analyzed using descriptive analysis method as follows: (1) walk through, analysis based on the expert comments in the expert review to get Hypothetical Learning Trajectory for valid mathematical modelling learning; (2) analyzing the results of the review in one to one and small group to gain practicality. Based on the expert validation and students’ opinion and answers, the obtained mathematical modeling problem in Realistics Mathematics Education was valid and practical.
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Advanced Placement Mathematics Calculus, Grade 12 Curriculum Guide.
ERIC Educational Resources Information Center
Scharf, John; And Others
This document is a guide to the advanced placement program in calculus for grade 12 in the city schools in Warren, Ohio. The program covers analytic geometry, differential and integral calculus of algebraic functions, elementary transcendental functions, and applications of differentiation and integration. The philosophy and aims of the program…
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The Challenge of Learning Physics before Mathematics: A Case Study of Curriculum Change in Taiwan
ERIC Educational Resources Information Center
Chiu, Mei-Shiu
2016-01-01
The aim of this study was to identify challenges in implementing a physics-before- 10 mathematics curriculum. Obviously, students need to learn necessary mathematics skills in order to develop advanced physics knowledge. In the 2010 high school curriculum in Taiwan, however, grade 11 science students study two-dimensional motion in physics without…
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Mathematics in Chemistry: Indeterminate Forms and Their Meaning
ERIC Educational Resources Information Center
Segurado, Manuel A. P.; Silva, Margarida F. B.; Castro, Rita
2011-01-01
The mathematical language and its tools are complementary to the formalism in chemistry, in particular at an advanced level. It is thus crucial, for its understanding, that students acquire a solid knowledge in Calculus and that they know how to apply it. The frequent occurrence of indeterminate forms in multiple areas, particularly in Physical…
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ERIC Educational Resources Information Center
Norman, Ke Wu; Medhanie, Amanuel G.; Harwell, Michael R.; Anderson, Edwin; Post, Thomas R.
2011-01-01
Recent "math wars" have drawn attention to how well various high school mathematics curricula prepare students for college-level mathematics. The purpose of this study was to investigate the relationship between the high school mathematics curricula and students' post-secondary mathematics placement recommendation, specifically how…
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Using Mathematics Literature with Prospective Secondary Mathematics Teachers
ERIC Educational Resources Information Center
Jett, Christopher C.
2014-01-01
Literature in mathematics has been found to foster positive improvements in mathematics learning. This manuscript reports on a mathematics teacher educator's use of literature via literature circles with 11 prospective secondary mathematics teachers in a mathematics content course. Using survey and reflection data, the author found that…
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Democratizing education? Examining access and usage patterns in massive open online courses.
Hansen, John D; Reich, Justin
2015-12-04
Massive open online courses (MOOCs) are often characterized as remedies to educational disparities related to social class. Using data from 68 MOOCs offered by Harvard and MIT between 2012 and 2014, we found that course participants from the United States tended to live in more-affluent and better-educated neighborhoods than the average U.S. resident. Among those who did register for courses, students with greater socioeconomic resources were more likely to earn a certificate. Furthermore, these differences in MOOC access and completion were larger for adolescents and young adults, the traditional ages where people find on-ramps into science, technology, engineering, and mathematics (STEM) coursework and careers. Our findings raise concerns that MOOCs and similar approaches to online learning can exacerbate rather than reduce disparities in educational outcomes related to socioeconomic status. Copyright © 2015, American Association for the Advancement of Science.
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Mathematical Language Skills of Mathematics Prospective Teachers
ERIC Educational Resources Information Center
Gürefe, Nejla
2018-01-01
Effective mathematics teaching can be actualized only with correct use of the mathematical content language which comprises mathematical rules, concepts, symbols and terms. In this research, it was aimed to examine the mathematics prospective teachers' content language skills in some basic geometric concepts which are ray, angle, polygon,…
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Cognitive Technologies for Mathematics Education. Technical Report No. 37.
ERIC Educational Resources Information Center
Pea, Roy D.
This paper provides an historical perspective on the possible roles of cognitive technologies in thinking as "reorganizers" of the mind. It suggests that by understanding the transformational roles of advanced technologies for mathematical thinking, positive contributions can be made to research and practice on the use of computers in…
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Proceedings, Conference on the Computing Environment for Mathematical Software
NASA Technical Reports Server (NTRS)
1981-01-01
Recent advances in software and hardware technology which make it economical to create computing environments appropriate for specialized applications are addressed. Topics included software tools, FORTRAN standards activity, and features of languages, operating systems, and hardware that are important for the development, testing, and maintenance of mathematical software.
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Doing Mathematics with Purpose: Mathematical Text Types
ERIC Educational Resources Information Center
Dostal, Hannah M.; Robinson, Richard
2018-01-01
Mathematical literacy includes learning to read and write different types of mathematical texts as part of purposeful mathematical meaning making. Thus in this article, we describe how learning to read and write mathematical texts (proof text, algorithmic text, algebraic/symbolic text, and visual text) supports the development of students'…
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Math Task Force's Bad Calculation
ERIC Educational Resources Information Center
Winders, Mike; Bisk, Richard
2014-01-01
The number of incoming college students who require development mathematics coursework is a national problem. This is an enormous area of concern for a number of reasons--such as the monetary cost to students who must take courses for which they are not granted credit, and colleges and universities who must pay instructors to teach such courses.…
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METSAT: Advanced Microwave Sounding Unit-A2 (AMSU-A2) structural mathematical model
NASA Technical Reports Server (NTRS)
Ely, Wayne
1995-01-01
This plan describes the Structural Mathematical Model of the METSAT AMSU-A2 instrument. The model is used to verify the structural adequacy of the AMSU-A2 instrument for the specified loading environments.
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ERIC Educational Resources Information Center
Clark, Kathleen Michelle
2012-01-01
The use of the history of mathematics in teaching has long been considered a tool for enriching students' mathematical learning. However, in the USA few, if any, research efforts have investigated how the study of history of mathematics contributes to a person's mathematical knowledge for teaching. In this article, I present the results of…
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Mathematics for Life: Sustainable Mathematics Education
ERIC Educational Resources Information Center
Renert, Moshe
2011-01-01
Ecological sustainability has not been a major focus of mathematics education research, even though it has attracted considerable attention in other areas of educational research in the past decade. The connections between mathematics education and ecological sustainability are not readily apparent. This paper explores how mathematics educators…
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Federal Register 2010, 2011, 2012, 2013, 2014
2011-04-13
... personnel: Type A programs are designed to prepare, at the advanced graduate level, higher education faculty... elsewhere in this notice. Type B programs are designed to prepare, at the graduate or advanced graduate... designed to integrate coursework with practicum opportunities (e.g., interning in a program or school...
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ERIC Educational Resources Information Center
Holtzman, Mellisa
2018-01-01
Cornerstone courses bridge introductory content from lower-level survey courses with the more advanced theoretical and methodological content of upper-level, major-only courses. Cornerstones are implemented with the goal of better preparing students for advanced coursework and/or assisting them with understanding their major and its associated…
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Cooperative Learning in the Advanced Algebra and Trigonometry Mathematics High School Classroom
ERIC Educational Resources Information Center
Jozsa, Alison
2017-01-01
Over the past three decades, researchers have found cooperative learning to have positive effects on student achievement in various subject areas and levels in education. However, there are limited studies on the impact of cooperative learning on student achievement in the area of high school mathematics. This study examined the impact of…
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Schaid, Daniel J
2010-01-01
Measures of genomic similarity are the basis of many statistical analytic methods. We review the mathematical and statistical basis of similarity methods, particularly based on kernel methods. A kernel function converts information for a pair of subjects to a quantitative value representing either similarity (larger values meaning more similar) or distance (smaller values meaning more similar), with the requirement that it must create a positive semidefinite matrix when applied to all pairs of subjects. This review emphasizes the wide range of statistical methods and software that can be used when similarity is based on kernel methods, such as nonparametric regression, linear mixed models and generalized linear mixed models, hierarchical models, score statistics, and support vector machines. The mathematical rigor for these methods is summarized, as is the mathematical framework for making kernels. This review provides a framework to move from intuitive and heuristic approaches to define genomic similarities to more rigorous methods that can take advantage of powerful statistical modeling and existing software. A companion paper reviews novel approaches to creating kernels that might be useful for genomic analyses, providing insights with examples [1]. Copyright © 2010 S. Karger AG, Basel.
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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
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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.
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Experimental Mathematics and Mathematical Physics
DOE Office of Scientific and Technical Information (OSTI.GOV)
Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David
2009-06-26
One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting numerical values. Recently these techniques have been applied with great success to problems in mathematical physics. Notable among these applications are the identification of some key multi-dimensional integrals that arise in Ising theory, quantum field theory and in magnetic spin theory.
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Molecular modeling: An open invitation for applied mathematics
NASA Astrophysics Data System (ADS)
Mezey, Paul G.
2013-10-01
Molecular modeling methods provide a very wide range of challenges for innovative mathematical and computational techniques, where often high dimensionality, large sets of data, and complicated interrelations imply a multitude of iterative approximations. The physical and chemical basis of these methodologies involves quantum mechanics with several non-intuitive aspects, where classical interpretation and classical analogies are often misleading or outright wrong. Hence, instead of the everyday, common sense approaches which work so well in engineering, in molecular modeling one often needs to rely on rather abstract mathematical constraints and conditions, again emphasizing the high level of reliance on applied mathematics. Yet, the interdisciplinary aspects of the field of molecular modeling also generates some inertia and perhaps too conservative reliance on tried and tested methodologies, that is at least partially caused by the less than up-to-date involvement in the newest developments in applied mathematics. It is expected that as more applied mathematicians take up the challenge of employing the latest advances of their field in molecular modeling, important breakthroughs may follow. In this presentation some of the current challenges of molecular modeling are discussed.
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Biological Physics major as a means to stimulate an undergraduate physics program
NASA Astrophysics Data System (ADS)
Jaeger, Herbert; Eid, Khalid; Yarrison-Rice, Jan
2013-03-01
In an effort to stress the cross-disciplinary nature of modern physics we added a Biological Physics major. Drawing from coursework in physics, biology, chemistry, mathematics, and related disciplines, it combines a broad curriculum with physical and mathematical rigor in preparation for careers in biophysics, medical physics, and biomedical engineering. Biological Physics offers a new path of studies to a large pool of life science students. We hope to grow our physics majors from 70-80 to more than 100 students and boost our graduation rate from the mid-teens to the mid-twenties. The new major brought about a revision of our sophomore curriculum to make room for modern topics without sidelining fundamentals. As a result, we split our 1-semester long Contemporary Physics course (4 cr hrs) into a year-long sequence Contemporary Physics Foundations and Contemporary Physics Frontiers (both 3 cr hrs). Foundations starts with relativity, then focuses on 4 quantum mechanics topics: wells, spin 1/2, oscillators, and hydrogen. Throughout the course applications are woven in whenever the opportunity arises, e.g. magnetism and NMR with spin 1/2. The following semester Frontiers explores scientific principles and technological advances that make quantum science and resulting technologies different from the large scale. Frontiers covers enabling techniques from atomic, molecular, condensed matter, and particle physics, as well as advances in nanotechnology, quantum optics, and biophysics.
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The University of Nebraska at Omaha Center for Space Data Use in Teaching and Learning
NASA Technical Reports Server (NTRS)
Grandgenett, Neal
2000-01-01
Within the context of innovative coursework and other educational activities, we are proposing the establishment of a University of Nebraska at Omaha (UNO) Center for the Use of Space Data in Teaching and Learning. This Center will provide an exciting and motivating process for educators at all levels to become involved in professional development and training which engages real life applications of mathematics, science, and technology. The Center will facilitate innovative courses (including online and distance education formats), systematic degree programs, classroom research initiatives, new instructional methods and tools, engaging curriculum materials, and various symposiums. It will involve the active participation of several Departments and Colleges on the UNO campus and be well integrated into the campus environment. It will have a direct impact on pre-service and in-service educators, the K12 (kindergarten through 12th grade) students that they teach, and other college students of various science, mathematics, and technology related disciplines, in which they share coursework. It is our belief that there are many exciting opportunities represented by space data and imagery, as a context for engaging mathematics, science, and technology education. The UNO Center for Space Data Use in Teaching and Learning being proposed in this document will encompass a comprehensive training and dissemination strategy that targets the improvement of K-12 education, through changes in the undergraduate and graduate preparation of teachers in science, mathematics and technology education.
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Abstraction in Mathematics and Mathematics Learning
ERIC Educational Resources Information Center
Mitchelmore, Michael; White, Paul
2004-01-01
It is claimed that, since mathematics is essentially a self-contained system, mathematical objects may best be described as "abstract-apart." On the other hand, fundamental mathematical ideas are closely related to the real world and their learning involves empirical concepts. These concepts may be called "abstract-general" because they embody…
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Investigating Participation in Advanced Level Mathematics: A Study of Student Drop-Out
ERIC Educational Resources Information Center
Noyes, Andrew; Sealey, Paula
2012-01-01
There has, for some years, been a growing concern about participation in university-entrance level mathematics in England and across the developed world. Extensive statistical analyses present the decline but offer little to help us understand the causes. In this paper we explore a concern which cannot be explored through national data-sets,…
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Mathematical Modelling Approach in Mathematics Education
ERIC Educational Resources Information Center
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…
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Exploring mathematics anxiety and attitude: Mathematics students' experiences
NASA Astrophysics Data System (ADS)
Sahri, Nurul Ashikin; Kamaruzaman, Wan Nur Farahdalila Wan; Jamil, Jastini Mohd.; Shaharanee, Izwan Nizal Mohd.
2017-11-01
A quantitative and correlational, survey methods were used to investigate the relationships among mathematical anxiety and attitude toward student's mathematics performance. Participants were 100 students volunteer to enroll in undergraduate Industrial Statistics, Decision Sciences and Business Mathematics at one of northern university in Malaysia. Survey data consisted of demographic items and Likert scale items. The collected data was analyzed by using the idea of correlation and regression analysis. The results indicated that there was a significant positive relationship between students' attitude and mathematics anxiety. Results also indicated that a substantial positive effect of students' attitude and mathematics anxiety in students' achievement. Further study can be conducted on how mathematical anxiety and attitude toward mathematics affects can be used to predict the students' performance in the class.
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A Capstone Mathematics Course for Prospective Secondary Mathematics Teachers
ERIC Educational Resources Information Center
Artzt, Alice F.; Sultan, Alan; Curcio, Frances R.; Gurl, Theresa
2012-01-01
This article describes an innovative capstone mathematics course that links college mathematics with school mathematics and pedagogy. It describes how college juniors in a secondary mathematics teacher preparation program engage in leadership experiences that enable them to learn mathematics for teaching while developing student-centered…
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Hands-On Mathematics: Two Cases from Ancient Chinese Mathematics
ERIC Educational Resources Information Center
Wang, Youjun
2009-01-01
In modern mathematical teaching, it has become increasingly emphasized that mathematical knowledge should be taught by problem-solving, hands-on activities, and interactive learning experiences. Comparing the ideas of modern mathematical education with the development of ancient Chinese mathematics, we find that the history of mathematics in…
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On Mathematical Understanding: Perspectives of Experienced Chinese Mathematics Teachers
ERIC Educational Resources Information Center
Cai, Jinfa; Ding, Meixia
2017-01-01
Researchers have long debated the meaning of mathematical understanding and ways to achieve mathematical understanding. This study investigated experienced Chinese mathematics teachers' views about mathematical understanding. It was found that these mathematics teachers embrace the view that understanding is a web of connections, which is a result…
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NASA Astrophysics Data System (ADS)
Stöltzner, Michael
Answering to the double-faced influence of string theory on mathematical practice and rigour, the mathematical physicists Arthur Jaffe and Frank Quinn have contemplated the idea that there exists a `theoretical' mathematics (alongside `theoretical' physics) whose basic structures and results still require independent corroboration by mathematical proof. In this paper, I shall take the Jaffe-Quinn debate mainly as a problem of mathematical ontology and analyse it against the backdrop of two philosophical views that are appreciative towards informal mathematical development and conjectural results: Lakatos's methodology of proofs and refutations and John von Neumann's opportunistic reading of Hilbert's axiomatic method. The comparison of both approaches shows that mitigating Lakatos's falsificationism makes his insights about mathematical quasi-ontology more relevant to 20th century mathematics in which new structures are introduced by axiomatisation and not necessarily motivated by informal ancestors. The final section discusses the consequences of string theorists' claim to finality for the theory's mathematical make-up. I argue that ontological reductionism as advocated by particle physicists and the quest for mathematically deeper axioms do not necessarily lead to identical results.
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Exploring Differential Effects of Mathematics Courses on Mathematics Achievement
ERIC Educational Resources Information Center
Ma, Xin; McIntyre, Laureen J.
2005-01-01
Using data from the Longitudinal Study of Mathematics Participation (N = 1,518 students from 34 schools), we investigated the effects of pure and applied mathematics courses on mathematics achievement, controlling for prior mathematics achievement. Results of multilevel modelling showed that the effects of pure mathematics were significant after…
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Mathematics, the Computer, and the Impact on Mathematics Education.
ERIC Educational Resources Information Center
Tooke, D. James
2001-01-01
Discusses the connection between mathematics and the computer; mathematics curriculum; mathematics instruction, including teachers learning to use computers; and the impact of the computer on learning mathematics. (LRW)
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Finite Mathematics and Discrete Mathematics: Is There a Difference?
ERIC Educational Resources Information Center
Johnson, Marvin L.
Discrete mathematics and finite mathematics differ in a number of ways. First, finite mathematics has a longer history and is therefore more stable in terms of course content. Finite mathematics courses emphasize certain particular mathematical tools which are useful in solving the problems of business and the social sciences. Discrete mathematics…
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CSP - The 19th European Conference on Mathematics for Industry (ECMI 2016)
2017-03-02
Quality physics in game cinematics. Conclusions Most significant advance reported The ECMI 2016 exceeded by far the expectations of the Organizing... games . 15. SUBJECT TERMS Industrial mathematics; numerical simulation ; optimization; modelling; innovation. 16. SECURITY CLASSIFICATION OF: 17
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Mathematical Intelligence and Mathematical Creativity: A Causal Relationship
ERIC Educational Resources Information Center
Tyagi, Tarun Kumar
2017-01-01
This study investigated the causal relationship between mathematical creativity and mathematical intelligence. Four hundred thirty-nine 8th-grade students, age ranged from 11 to 14 years, were included in the sample of this study by random cluster technique on which mathematical creativity and Hindi adaptation of mathematical intelligence test…
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Effectiveness of Pearson's SuccessMaker Mathematics for Students with Disabilities
ERIC Educational Resources Information Center
McKissick, Steven K.
2017-01-01
SuccessMaker mathematics is an instructional learning system rooted in behaviorist instructional theory. Previous research efforts have left much to be desired and have produced inconsistent results. Recent research for this program appears to be tapering off, despite advances in technology signaling integration of concepts from other theoretical…
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ERIC Educational Resources Information Center
Hole, Arne; Grønmo, Liv Sissel; Onstad, Torgeir
2018-01-01
Background: This paper discusses a framework for analyzing the dependence on mathematical theory in test items, that is, a framework for discussing to what extent knowledge of mathematical theory is helpful for the student in solving the item. The framework can be applied to any test in which some knowledge of mathematical theory may be useful,…
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ERIC Educational Resources Information Center
Tow, Tamara
2011-01-01
High-stakes assessments have encouraged educators to ignore the needs of the top performers. Therefore, the Oakwood School District decided to implement a mathematics pilot enrichment program in order to meet the needs of the advanced mathematics students. As a result, this study used quantitative data to determine if there was a significant…
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ERIC Educational Resources Information Center
Livy, Sharyn
2012-01-01
The theoretical understanding that underpins a teacher's foundation knowledge draws on their common content knowledge (CCK) and influences their mathematics' teaching (Rowland, Turner, Thwaites, & Huckstep, 2009). Teachers who have specialised content knowledge (SCK) demonstrate a unique kind of content knowledge which is more than knowing the…
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Learning Mathematics for Teaching Mathematics: Non-Specialist Teachers' Mathematics Teacher Identity
ERIC Educational Resources Information Center
Crisan, Cosette; Rodd, Melissa
2017-01-01
A non-specialist teacher of mathematics is a school teacher who qualified to teach in a subject other than mathematics yet teaches mathematics to students in secondary school. There is an emerging interest internationally in this population, a brief report of which is given in the paper. Because of concerns about the quality of non-specialists'…
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ERIC Educational Resources Information Center
Yilmaz, Suha; Tekin-Dede, Ayse
2016-01-01
Mathematization competency is considered in the field as the focus of modelling process. Considering the various definitions, the components of the mathematization competency are determined as identifying assumptions, identifying variables based on the assumptions and constructing mathematical model/s based on the relations among identified…
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Why Go Modular? A Review of Modular A-Level Mathematics.
ERIC Educational Resources Information Center
Taverner, Sally; Wright, Martin
1997-01-01
Attitudes, academic intentions, and attainment of students gaining a grade in A-level (Advanced level) mathematics were compared for those who followed a modular course and those assessed at the end of two years of study. Overall, the final grades of those assessed modularly were half a grade higher. (JOW)
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ERIC Educational Resources Information Center
Sriraman, Bharath, Ed.
2012-01-01
The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at…
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ERIC Educational Resources Information Center
Battista, Michael T.
1986-01-01
Examined how preservice elementary teachers' (N=38) mathematical knowledge and mathematics anxiety affect their success in a mathematics methods course. Also examined the hypothesis that a mathematics methods course can reduce the mathematics anxiety of these teachers. One finding is that mathematics anxiety does not inhibit their learning of…
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ERIC Educational Resources Information Center
Fuson, Karen C.
2009-01-01
This article provides an overview of some perspectives about special issues in classroom mathematical teaching and learning that have stemmed from the huge explosion of research in children's mathematical thinking stimulated by Piaget. It concentrates on issues that are particularly important for less-advanced learners and for those who might be…
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ERIC Educational Resources Information Center
Nicholas, Karen; Fletcher, Jo
2017-01-01
Advances in learning approaches can enhance deeper levels of mathematical thinking and engagement through the use of new digital environments and technologies. The growing utilisation of portable digital devices in schools has meant there are enhanced tools to support mathematical learning and understandings. This article focused on those who work…
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ERIC Educational Resources Information Center
Briley, Jason S.
2012-01-01
Ninety-five elementary pre-service teachers enrolled in a mathematics content course for elementary school teachers completed 3 surveys to measure mathematics teaching efficacy, mathematics self-efficacy, and mathematical beliefs. The pre-service teachers who reported stronger beliefs in their capabilities to teach mathematics effectively were…
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Applied Mathematics at the U.S. Department of Energy: Past, Present and a View to the Future
DOE Office of Scientific and Technical Information (OSTI.GOV)
Brown, D L; Bell, J; Estep, D
2008-02-15
Over the past half-century, the Applied Mathematics program in the U.S. Department of Energy's Office of Advanced Scientific Computing Research has made significant, enduring advances in applied mathematics that have been essential enablers of modern computational science. Motivated by the scientific needs of the Department of Energy and its predecessors, advances have been made in mathematical modeling, numerical analysis of differential equations, optimization theory, mesh generation for complex geometries, adaptive algorithms and other important mathematical areas. High-performance mathematical software libraries developed through this program have contributed as much or more to the performance of modern scientific computer codes as themore » high-performance computers on which these codes run. The combination of these mathematical advances and the resulting software has enabled high-performance computers to be used for scientific discovery in ways that could only be imagined at the program's inception. Our nation, and indeed our world, face great challenges that must be addressed in coming years, and many of these will be addressed through the development of scientific understanding and engineering advances yet to be discovered. The U.S. Department of Energy (DOE) will play an essential role in providing science-based solutions to many of these problems, particularly those that involve the energy, environmental and national security needs of the country. As the capability of high-performance computers continues to increase, the types of questions that can be answered by applying this huge computational power become more varied and more complex. It will be essential that we find new ways to develop and apply the mathematics necessary to enable the new scientific and engineering discoveries that are needed. In August 2007, a panel of experts in applied, computational and statistical mathematics met for a day and a half in Berkeley, California to understand the
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ERIC Educational Resources Information Center
Ernest, Paul, Ed.
This book illustrates the breadth of theoretical and philosophical perspectives that can be brought to bear on mathematics and education. Part 1, "Constructivism and the Learning of Mathematics," contains the following chapters: (1) "A Radical Constructivist View of Basic Mathematical Concepts" (E. von Glasersfeld); (2) "Interaction and Children's…
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Improving the Graduate School Experience for Women in Mathematics: the Edge Program
NASA Astrophysics Data System (ADS)
Bozeman, Sylvia T.; Hughes, Rhonda J.
For over a decade, Spelman College and Bryn Mawr College have collaborated on initiatives designed to increase the presence of women, with a special focus on women of color, in the upper ranks of mathematical science. The most recent initiative is the EDGE Program (Enhancing Diversity in Graduate Education), which addresses this challenge by attempting to decrease the loss of talent from U.S. graduate programs. To this end, the program provides structures that help women make successful transitions from undergraduate into graduate mathematics programs, redirect or refocus their ambitions when programs are inappropriate or unsuitable, and, ultimately, enable them to "accumulate advantages" that will empower them and foster success in their careers. A broader goal of this program is to diversify the mathematics community by creating models for mathematics programs that allow people from all backgrounds and cultures to thrive, advance, and contribute to the profession.
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NASA Astrophysics Data System (ADS)
Papanastasiou, Elena C.; Zembylas, Michalinos
2006-12-01
AN EMPIRICAL INVESTIGATION OF DIFFERENCES BETWEEN MATHEMATICS SPECIALISTS AND NON-SPECIALISTS AT THE HIGH-SCHOOL LEVEL in Cyprus - The data obtained from high-school seniors for the Third International Mathematics and Science Study (TIMSS) for the country of Cyprus appear to be contradictory. Although Cypriot students did not perform well in mathematics in elementary school, middle school, and in the non-advanced sectors of high school, students in advanced mathematics courses in high school managed to perform exceptionally well. In seeking to account for this apparent disparity, the present study examines the differences between mathematics specialists and non-specialists at the high-school level and discusses the implications that these have for teaching practice. It shows how students educated in an environment that might not be optimal for producing high-achieving students in mathematics and science in elementary and middle school (according to the TIMSS) might nonetheless manage to excel in these fields at the end of their schooling. In conclusion, the authors address the implications of their study for similar educational systems in other developing countries.
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Mathematical Modelling in Engineering: An Alternative Way to Teach Linear Algebra
ERIC Educational Resources Information Center
Domínguez-García, S.; García-Planas, M. I.; Taberna, J.
2016-01-01
Technological advances require that basic science courses for engineering, including Linear Algebra, emphasize the development of mathematical strengths associated with modelling and interpretation of results, which are not limited only to calculus abilities. Based on this consideration, we have proposed a project-based learning, giving a dynamic…
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Discrete Mathematics and the Secondary Mathematics Curriculum.
ERIC Educational Resources Information Center
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…
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Mathematics Self-Efficacy and Flow in Developmental Mathematics Students
ERIC Educational Resources Information Center
Golnabi, Laura
2017-01-01
This study examined mathematics self-efficacy and the characteristics of flow in the context of performing mathematical tasks. In particular, it explored the subjective experiences of 113 undergraduate students enrolled in a developmental mathematics course while they were independently solving certain mathematical problems. This study…
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Mathematics in Mind, Brain, and Education: A Neo-Piagetian Approach
ERIC Educational Resources Information Center
Norton, Anderson; Deater-Deckard, Kirby
2014-01-01
Because of their focus on psychological structures and operations, neo-Piagetian approaches to learning lend themselves to neurological hypotheses. Recent advances in neural imaging and educational technology now make it possible to test some of these claims. Here, we take a neo-Piagetian approach to mathematical learning in order to frame two…
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Mathematics Teachers' Self-Captured Video and Opportunities for Learning
ERIC Educational Resources Information Center
Sherin, Miriam Gamoran; Dyer, Elizabeth B.
2017-01-01
Numerous video-based programs have been developed to support mathematics teachers in reflecting on and examining classrooms interactions without the immediate demands of instruction. An important premise of such work is that teacher learning occurs at the time that the video is viewed and discussed with teachers. Recent advances in technology,…
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Exploring mathematics outside the classroom with the help of GPS-enabled mobile phone application
NASA Astrophysics Data System (ADS)
Cahyono, A. N.; Ludwig, M.
2018-03-01
The aim of the study is to explore the potential of the mobile app-supported math trail program in promoting students’ intrinsic motivation for the engagement in mathematics and the opportunities of mathematical outdoor activity in particular. Explorative design research was conducted on nine secondary schools in the city of Semarang, Indonesia, with 272 students and nine teachers. Data were gathered using participatory observation, interviews, questionnaires, and student worksheets. The findings indicate that students were highly intrinsically motivated to be involved in mathematics learning. They found it easy to engage in the activities and gain relevant mathematical experiences. Students indicated they learned to use advanced technology for outdoor activity and to do the mathematization. The study suggests that school and public can take advantage of the result of this study. Further research in other places is needed to exploit its potential and future development.
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ERIC Educational Resources Information Center
Doherty, Brooks
2016-01-01
Driven by faculty-based action research, redesigned residential and online courses, and changes to placement testing, Rasmussen College increased its developmental education pass rates by double digits while decreasing the number and percentage of students who require remedial coursework. Like many institutions of higher education, Rasmussen…
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Family Socioeconomic Status, Peers, and The Path to College
Crosnoe, Robert; Muller, Chandra
2014-01-01
Drawing on the primary/secondary effects perspective of educational inequality, this mixed methods study investigated connections between high school students’ trajectories through college preparatory coursework and their relationships with parents and peers as a channel in the intergenerational transmission of socioeconomic inequality. Growth curve and multilevel analyses of national survey and transcript data revealed that having college-educated parents differentiated students’ enrollment in advanced coursework at the start of high school and that this initial disparity was stably maintained over subsequent years. During this starting period of high school, exposure to school-based peer groups characterized by higher levels of parent education appeared to amplify these coursework disparities between students with and without college-educated parents. Ethnographic data from a single high school pointed to possible mechanisms for these patterns, including the tendency for students with college-educated parents to have more information about the relative weight of grades, core courses, and electives in college-going and for academically-relevant information from school peers with college-educated parents to matter most to students’ coursework when it matched what was coming from their own parents. PMID:25544782
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ERIC Educational Resources Information Center
Alsaeed, Maha Saad
2012-01-01
Teachers in Saudi Arabia are attempting to advance their teaching in mathematics to address specific reforms by the Ministry of Education. Saudi teachers must improve their students' thinking through engagement in problem solving. This qualitative study investigated how teachers use knowledge of student mathematical learning and how they promote…
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Mathematical modeling of physiological systems: an essential tool for discovery.
Glynn, Patric; Unudurthi, Sathya D; Hund, Thomas J
2014-08-28
Mathematical models are invaluable tools for understanding the relationships between components of a complex system. In the biological context, mathematical models help us understand the complex web of interrelations between various components (DNA, proteins, enzymes, signaling molecules etc.) in a biological system, gain better understanding of the system as a whole, and in turn predict its behavior in an altered state (e.g. disease). Mathematical modeling has enhanced our understanding of multiple complex biological processes like enzyme kinetics, metabolic networks, signal transduction pathways, gene regulatory networks, and electrophysiology. With recent advances in high throughput data generation methods, computational techniques and mathematical modeling have become even more central to the study of biological systems. In this review, we provide a brief history and highlight some of the important applications of modeling in biological systems with an emphasis on the study of excitable cells. We conclude with a discussion about opportunities and challenges for mathematical modeling going forward. In a larger sense, the review is designed to help answer a simple but important question that theoreticians frequently face from interested but skeptical colleagues on the experimental side: "What is the value of a model?" Copyright © 2014 Elsevier Inc. All rights reserved.
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ERIC Educational Resources Information Center
Reys, Robert; Reys, Rustin
2011-01-01
In their dual roles as mathematics teachers and tennis coaches, the authors have worked with tennis players who have never thought about how a knowledge of mathematics might help them become "better" tennis players. They have also worked with many mathematics students who have never considered how much mathematics is associated with tennis. This…
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Mathematical Selfies: Students' Real-World Mathematics
ERIC Educational Resources Information Center
Jaqua, Kathy M. C.
2017-01-01
The activity of snapping photographs to document all parts of daily life and sharing them with friends is the norm for many students. What if we could make mathematics as natural a part of daily life through "mathematical selfies"? The author's goal is to use students' love of selfies to help them see that mathematics is already part of…
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Lai, Yinghui; Zhu, Xiaoshuang; Chen, Yinghe; Li, Yanjun
2015-01-01
Mathematics is one of the most objective, logical, and practical academic disciplines. Yet, in addition to cognitive skills, mathematical problem solving also involves affective factors. In the current study, we first investigated effects of mathematics anxiety (MA) and mathematical metacognition on word problem solving (WPS). We tested 224 children (116 boys, M = 10.15 years old, SD = 0.56) with the Mathematics Anxiety Scale for Children, the Chinese Revised-edition Questionnaire of Pupil's Metacognitive Ability in Mathematics, and WPS tasks. The results indicated that mathematical metacognition mediated the effect of MA on WPS after controlling for IQ. Second, we divided the children into four mathematics achievement groups including high achieving (HA), typical achieving (TA), low achieving (LA), and mathematical learning difficulty (MLD). Because mathematical metacognition and MA predicted mathematics achievement, we compared group differences in metacognition and MA with IQ partialled out. The results showed that children with MLD scored lower in self-image and higher in learning mathematics anxiety (LMA) than the TA and HA children, but not in mathematical evaluation anxiety (MEA). MLD children's LMA was also higher than that of their LA counterparts. These results provide insight into factors that may mediate poor WPS performance which emerges under pressure in mathematics. These results also suggest that the anxiety during learning mathematics should be taken into account in mathematical learning difficulty interventions.
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Lai, Yinghui; Zhu, Xiaoshuang; Chen, Yinghe; Li, Yanjun
2015-01-01
Mathematics is one of the most objective, logical, and practical academic disciplines. Yet, in addition to cognitive skills, mathematical problem solving also involves affective factors. In the current study, we first investigated effects of mathematics anxiety (MA) and mathematical metacognition on word problem solving (WPS). We tested 224 children (116 boys, M = 10.15 years old, SD = 0.56) with the Mathematics Anxiety Scale for Children, the Chinese Revised-edition Questionnaire of Pupil’s Metacognitive Ability in Mathematics, and WPS tasks. The results indicated that mathematical metacognition mediated the effect of MA on WPS after controlling for IQ. Second, we divided the children into four mathematics achievement groups including high achieving (HA), typical achieving (TA), low achieving (LA), and mathematical learning difficulty (MLD). Because mathematical metacognition and MA predicted mathematics achievement, we compared group differences in metacognition and MA with IQ partialled out. The results showed that children with MLD scored lower in self-image and higher in learning mathematics anxiety (LMA) than the TA and HA children, but not in mathematical evaluation anxiety (MEA). MLD children’s LMA was also higher than that of their LA counterparts. These results provide insight into factors that may mediate poor WPS performance which emerges under pressure in mathematics. These results also suggest that the anxiety during learning mathematics should be taken into account in mathematical learning difficulty interventions. PMID:26090806
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Areepattamannil, Shaljan; Khine, Myint Swe; Melkonian, Michael; Welch, Anita G; Al Nuaimi, Samira Ahmed; Rashad, Fatimah F
2015-10-01
Drawing on data from the 2012 Program for International Student Assessment (PISA) and employing multilevel modeling as an analytic strategy, this study examined the relations of adolescent children's perceptions of their parents' attitudes towards mathematics to their own attitudes towards mathematics and mathematics achievement among a sample of 5116 adolescents from 384 schools in the United Arab Emirates. The results of this cross-sectional study revealed that adolescents who perceived that their parents liked mathematics and considered mathematics was important for their children not only to study but also for their career tended to report higher levels of intrinsic and instrumental motivation to learn mathematics, mathematics self-concept and self-efficacy, and mathematics work ethic. Moreover, adolescents who perceived that their parents liked mathematics and considered mathematics was important for their children's career tended to report positive intentions and behaviors toward mathematics. However, adolescents who perceived that their parents considered mathematics was important for their children's career tended to report higher levels of mathematics anxiety. Finally, adolescents who perceived that their parents considered mathematics was important for their children to study performed significantly better on the mathematics assessment than did their peers whose parents disregarded the importance of learning mathematics. Copyright © 2015 The Foundation for Professionals in Services for Adolescents. Published by Elsevier Ltd. All rights reserved.
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Crypt dynamics and colorectal cancer: advances in mathematical modelling.
van Leeuwen, I M M; Byrne, H M; Jensen, O E; King, J R
2006-06-01
Mathematical modelling forms a key component of systems biology, offering insights that complement and stimulate experimental studies. In this review, we illustrate the role of theoretical models in elucidating the mechanisms involved in normal intestinal crypt dynamics and colorectal cancer. We discuss a range of modelling approaches, including models that describe cell proliferation, migration, differentiation, crypt fission, genetic instability, APC inactivation and tumour heterogeneity. We focus on the model assumptions, limitations and applications, rather than on the technical details. We also present a new stochastic model for stem-cell dynamics, which predicts that, on average, APC inactivation occurs more quickly in the stem-cell pool in the absence of symmetric cell division. This suggests that natural niche succession may protect stem cells against malignant transformation in the gut. Finally, we explain how we aim to gain further understanding of the crypt system and of colorectal carcinogenesis with the aid of multiscale models that cover all levels of organization from the molecular to the whole organ.
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ERIC Educational Resources Information Center
Yang, Xinrong; Leung, Frederick K. S.
2015-01-01
This paper investigated pre-service mathematics teachers' mathematics beliefs, beliefs about information and communication technology (ICT), and their relationships. 787 pre-service mathematics teachers in China completed a survey questionnaire measuring their beliefs about the nature of mathematics, beliefs about mathematics learning and…
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Prospective Mathematics Teachers' Attitudes Towards Learning Mathematics with Technology
ERIC Educational Resources Information Center
Ipek, A. Sabri; Berigel, Muhammed; Albayrak, Mustafa
2007-01-01
Role of technology which is an important tool for new approaches in learning mathematics is rapidly increasing at focus point of learning mathematics with new designs. One of the biggest factors at learning and instructing technology based mathematic education is attitudes of mathematics teachers towards technology. At this study, attitudes of…
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Pre-Service Teachers' Mathematics Self-Efficacy and Mathematics Teaching Self-Efficacy
ERIC Educational Resources Information Center
Zuya, Habila Elisha; Kwalat, Simon Kevin; Attah, Bala Galle
2016-01-01
Pre-service mathematics teachers' mathematics self-efficacy and mathematics teaching self-efficacy were investigated in this study. The purpose was to determine the confidence levels of their self-efficacy in mathematics and mathematics teaching. Also, the study was aimed at finding whether their mathematics self-efficacy and teaching…
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ERIC Educational Resources Information Center
Areepattamannil, Shaljan; Kaur, Berinderjeet
2013-01-01
This study, drawing on data from the Trends in International Mathematics and Science Study (TIMSS) 2011, examined whether mathematics teachers' perceptions of their students' mathematical competence were related to mathematics achievement, affect toward mathematics, and engagement in mathematics lessons among Grade 8 students in Singapore and…
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ERIC Educational Resources Information Center
Bossé, Michael J.; Adu-Gyamfi, Kwaku; Chandler, Kayla; Lynch-Davis, Kathleen
2016-01-01
Dynamic mathematical environments allow users to reify mathematical concepts through multiple representations, transform mathematical relations and organically explore mathematical properties, investigate integrated mathematics, and develop conceptual understanding. Herein, we integrate Boolean algebra, the functionalities of a dynamic…
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Mathematical Modeling in Mathematics Education: Basic Concepts and Approaches
ERIC Educational Resources Information Center
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…
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Mathematics of gravitational lensing: multiple imaging and magnification
NASA Astrophysics Data System (ADS)
Petters, A. O.; Werner, M. C.
2010-09-01
The mathematical theory of gravitational lensing has revealed many generic and global properties. Beginning with multiple imaging, we review Morse-theoretic image counting formulas and lower bound results, and complex-algebraic upper bounds in the case of single and multiple lens planes. We discuss recent advances in the mathematics of stochastic lensing, discussing a general formula for the global expected number of minimum lensed images as well as asymptotic formulas for the probability densities of the microlensing random time delay functions, random lensing maps, and random shear, and an asymptotic expression for the global expected number of micro-minima. Multiple imaging in optical geometry and a spacetime setting are treated. We review global magnification relation results for model-dependent scenarios and cover recent developments on universal local magnification relations for higher order caustics.
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ERIC Educational Resources Information Center
Tella, Adedeji
2007-01-01
In our match towards scientific and technological advancement, we need nothing short of good performance in mathematics at all levels of schooling. In an effort to achieve this, this study investigated the impact of motivation on students' school academic achievement in mathematics in secondary schools using motivation for academic preference…
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Using Mathematics in Science: Working with Your Mathematics Department
ERIC Educational Resources Information Center
Lyon, Steve
2014-01-01
Changes to the mathematics and science curriculums are designed to increase rigour in mathematics, and place greater emphasis on mathematical content in science subjects at key stages 3, 4 and 5 (ages 11-18). One way to meet the growing challenge of providing increased emphasis on mathematics in the science curriculum is greater collaboration…
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Advanced Mathematical Tools in Metrology III
NASA Astrophysics Data System (ADS)
Ciarlini, P.
The Table of Contents for the book is as follows: * Foreword * Invited Papers * The ISO Guide to the Expression of Uncertainty in Measurement: A Bridge between Statistics and Metrology * Bootstrap Algorithms and Applications * The TTRSs: 13 Oriented Constraints for Dimensioning, Tolerancing & Inspection * Graded Reference Data Sets and Performance Profiles for Testing Software Used in Metrology * Uncertainty in Chemical Measurement * Mathematical Methods for Data Analysis in Medical Applications * High-Dimensional Empirical Linear Prediction * Wavelet Methods in Signal Processing * Software Problems in Calibration Services: A Case Study * Robust Alternatives to Least Squares * Gaining Information from Biomagnetic Measurements * Full Papers * Increase of Information in the Course of Measurement * A Framework for Model Validation and Software Testing in Regression * Certification of Algorithms for Determination of Signal Extreme Values during Measurement * A Method for Evaluating Trends in Ozone-Concentration Data and Its Application to Data from the UK Rural Ozone Monitoring Network * Identification of Signal Components by Stochastic Modelling in Measurements of Evoked Magnetic Fields from Peripheral Nerves * High Precision 3D-Calibration of Cylindrical Standards * Magnetic Dipole Estimations for MCG-Data * Transfer Functions of Discrete Spline Filters * An Approximation Method for the Linearization of Tridimensional Metrology Problems * Regularization Algorithms for Image Reconstruction from Projections * Quality of Experimental Data in Hydrodynamic Research * Stochastic Drift Models for the Determination of Calibration Intervals * Short Communications * Projection Method for Lidar Measurement * Photon Flux Measurements by Regularised Solution of Integral Equations * Correct Solutions of Fit Problems in Different Experimental Situations * An Algorithm for the Nonlinear TLS Problem in Polynomial Fitting * Designing Axially Symmetric Electromechanical Systems of
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NASA Astrophysics Data System (ADS)
Warsito; Darhim; Herman, T.
2018-01-01
This study aims to determine the differences in the improving of mathematical representation ability based on progressive mathematization with realistic mathematics education (PMR-MP) with conventional learning approach (PB). The method of research is quasi-experiments with non-equivalent control group designs. The study population is all students of class VIII SMPN 2 Tangerang consisting of 6 classes, while the sample was taken two classes with purposive sampling technique. The experimental class is treated with PMR-MP while the control class is treated with PB. The instruments used are test of mathematical representation ability. Data analysis was done by t-test, ANOVA test, post hoc test, and descriptive analysis. The result of analysis can be concluded that: 1) there are differences of mathematical representation ability improvement between students treated by PMR-MP and PB, 2) no interaction between learning approach (PMR-MP, PB) and prior mathematics knowledge (PAM) to improve students’ mathematical representation; 3) Students’ mathematical representation improvement in the level of higher PAM is better than medium, and low PAM students. Thus, based on the process of mathematization, it is very important when the learning direction of PMR-MP emphasizes on the process of building mathematics through a mathematical model.
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Dennis, Maureen; Berch, Daniel B.; Mazzocco, Michèle M.M.
2011-01-01
What is mathematical learning disability (MLD)? The reviews in this special issue adopt different approaches to defining the construct of MLD. Collectively, they demonstrate the current status of efforts to establish a consensus definition and the challenges faced in this endeavor. In this commentary, we reflect upon the proposed pathways to mathematical learning difficulties and disabilities presented across the reviews. Specifically we consider how each of the reviews contributes to identifying the MLD phenotype by specifying the range of assets and deficits in mathematics, identifying sources of individual variation, and characterizing the natural progression of MLD over the life course. We show how principled comparisons across disorders address issues about the cognitive and behavioral co-morbidities of MLD, and whether commonalities in brain dysmorphology are associated with common mathematics performance profiles. We project the status of MLD research ten years hence with respect to theoretical gains, advances in methodology, and principled intervention studies. PMID:19213019
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Bridging the Geoscientist Workforce Gap: Advanced High School Geoscience Programs
NASA Astrophysics Data System (ADS)
Schmidt, Richard William
The purpose of this participatory action research was to create a comprehensive evaluation of advanced geoscience education in Pennsylvania public high schools and to ascertain the possible impact of this trend on student perceptions and attitudes towards the geosciences as a legitimate academic subject and possible career option. The study builds on an earlier examination of student perceptions conducted at Northern Arizona University in 2008 and 2009 but shifts the focus to high school students, a demographic not explored before in this context. The study consisted of three phases each examining a different facet of the advanced geoscience education issue. Phase 1 examined 572 public high schools in 500 school districts across Pennsylvania and evaluated the health of the state's advanced geoscience education through the use of an online survey instrument where districts identified the nature of their geoscience programs (if any). Phase 2 targeted two groups of students at one suburban Philadelphia high school with an established advanced geoscience courses and compared the attitudes and perceptions of those who had been exposed to the curricula to a similar group of students who had not. Descriptive and statistically significant trends were then identified in order to assess the impact of an advanced geoscience education. Phase 3 of the study qualitatively explored the particular attitudes and perceptions of a random sampling of the advanced geoscience study group through the use of one-on-one interviews that looked for more in-depth patterns of priorities and values when students considered such topics as course enrollment, career selection and educational priorities. The results of the study revealed that advanced geoscience coursework was available to only 8% of the state's 548,000 students, a percentage significantly below that of the other typical K-12 science fields. It also exposed several statistically significant differences between the perceptions and
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Promoting Mathematical Argumentation
ERIC Educational Resources Information Center
Rumsey, Chepina; Langrall, Cynthia W.
2016-01-01
The Standards for Mathematical Practice (SMP) in the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) highlight the mathematical habits that educators should be fostering in mathematics classrooms throughout K-grade 12 education. That argumentation and discourse are important components of developing mathematically proficient…
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Sharing the Treats of Mathematics in a Senior Capstone Course
ERIC Educational Resources Information Center
Shifflet, Daniel R.
2013-01-01
In this paper we discuss why a senior capstone course is the perfect setting to reward graduating seniors with some of the more fun and interesting aspects of advanced mathematics. We provide a beginner's list of topics to consider as well as a method of implementing these tidbits outside of the classroom if time is an issue.
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ERIC Educational Resources Information Center
Okigbo, Ebele C.; Osuafor, Abigail M.
2008-01-01
The study investigated the effect of using mathematics laboratory in teaching on students' achievement in Junior Secondary School Mathematics. A total of 100 JS 3 Mathematics students were involved in the study. The study is a quasi-experimental research. Results were analyzed using mean, standard deviation and analysis of covariance (ANCOVA).…
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Teaching Mathematics to Non-Mathematics Majors through Applications
ERIC Educational Resources Information Center
Abramovich, Sergei; Grinshpan, Arcadii Z.
2008-01-01
This article focuses on the important role of applications in teaching mathematics to students with career paths other than mathematics. These include the fields as diverse as education, engineering, business, and life sciences. Particular attention is given to instructional computing as a means for concept development in mathematics education…
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ERIC Educational Resources Information Center
Huang, Rongjin; Gong, Zikun; Han, Xue
2016-01-01
Lesson study (LS) has been practiced in China as an effective way to advance teachers' professional development for decades. This study explores how LS improves teaching that promotes students' understanding. A LS group including didacticians (practice-based teaching research specialist and University-based mathematics educators) and mathematics…
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Gender Gap Linked to Differential Socialization for High-Achieving Senior Mathematics Students.
ERIC Educational Resources Information Center
Campbell, James R.; Beaudry, Jeffrey S.
1998-01-01
Examined whether 11th-grade girls and boys enrolled in advanced mathematics courses nationwide were socialized in similar ways, using Campbell's differential socialization paradigm. Results uncovered a gender gap favoring boys. Self-imposed pressure and persistence had important direct effects on achievement. Self-concept had important direct…
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NASA Astrophysics Data System (ADS)
Celedón-Pattichis, Sylvia; LópezLeiva, Carlos Alfonso; Pattichis, Marios S.; Llamocca, Daniel
2013-12-01
There is a strong need in the United States to increase the number of students from underrepresented groups who pursue careers in Science, Technology, Engineering, and Mathematics. Drawing from sociocultural theory, we present approaches to establishing collaborations between computer engineering and mathematics/bilingual education faculty to address this need. We describe our work through the Advancing Out-of-School Learning in Mathematics and Engineering project by illustrating how an integrated curriculum that is based on mathematics with applications in image and video processing can be designed and how it can be implemented with middle school students from underrepresented groups.
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Learning Results from the Viewpoint of Equity: Boys, Girls and Mathematics.
ERIC Educational Resources Information Center
Pehkonen, Erkki
1997-01-01
Explores why girls successful in mathematics choose advanced courses in upper secondary school less than did boys. Analyzes the results of tests and a student questionnaire (N=739) in Finland. Findings indicate that in the case of word problems and calculation without calculators, boys are significantly better than girls. Reports that the boys…
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Inside the UTeach Program: Implications for Research in Mathematics Teacher Education
ERIC Educational Resources Information Center
Wasserman, Nicholas H.
2010-01-01
As the national impetus to advance education continues to look toward improving the teachers sent into the classroom, more research needs to be done to in the area of mathematics teacher education. A number of recent studies have summarized, synthesized, and developed useful information about what should be viewed as important in mathematics…
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Interest in mathematics and science among students having high mathematics aptitude
NASA Astrophysics Data System (ADS)
Ely, Jane Alice
The study investigates why men and women differ in their interest in mathematics and science and in the pursuit of careers in mathematics and science. The most persistent gender differential in educational standard testing is the scores in mathematics achievement. The mean Scholastic Aptitude Test (Mathematics) scores for women are consistently below that of men by about 40 points. One result of this gender differential in mathematics is that few women entertain a career requiring a robust knowledge of higher mathematics (i.e. engineering, computing, or the physical sciences). A large body of literature has been written attempting to explain why this is happening. Biological, cultural, structural and psychological explanations have been suggested and empirically examined. Controlling for mathematical ability is one method of sorting out these explanations. Eliminating mathematical ability as a factor, this dissertation reports the results of a study of men and women college students who all had high mathematics ability. Thus, any differences we found among them would have to be a result of other variables. Using a Mathematics Placement Exam and the SAT-M, forty-two students (12 males and 30 females) with high scores in both were interviewed. Student were asked about their experiences in high school and college mathematics, their career choices, and their attitudes toward mathematics. The findings, that there were no gender differences in the course selection, attitudes towards mathematics, and career choice, differed from my initial expectations. This negative finding suggests that women with high ability in mathematics are just as likely as men to pursue interests in mathematics and related courses in college and in selecting careers.
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Mathematical thinking styles of undergraduate students and their achievement in mathematics
NASA Astrophysics Data System (ADS)
Risnanosanti
2017-08-01
The main purpose of this study is to analyze the role of mathematical thinking styles in students' achievement in mathematics. On the basis of this study, it is also to generate recommendation for classroom instruction. The two specific aims are; first to observe students' mathematical thinking styles during problem solving, the second to asses students' achievement in mathematics. The data were collected by using Mathematical Thinking Styles questionnaires and test of students' achievement in mathematics. The subject in this study was 35 students from third year at mathematics study program of Muhammadiyah University of Bengkulu in academic year 2016/2017. The result of this study was that the students have three mathematical thinking styles (analytic, visual, and integrated), and the students who have analytic styles have better achievement than those who have visual styles in mathematics.
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Quotable Quotes in Mathematics
ERIC Educational Resources Information Center
Lo, Bruce W. N.
1983-01-01
As a way to dispel negative feelings toward mathematics, a variety of quotations are given. They are categorized by: what mathematics is, mathematicians, mathematics and other disciplines, different areas of mathematics, mathematics and humor, applications of mathematics, and pure versus applied mathematics. (MNS)
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Elementary Mathematics Teachers' Perceptions and Lived Experiences on Mathematical Communication
ERIC Educational Resources Information Center
Kaya, Defne; Aydin, Hasan
2016-01-01
Mathematical thinking skills and meaningful mathematical understanding are among the goals of current mathematics education. There is a wide consensus among scholars about the purpose of developing mathematical understanding and higher order thinking skills in students. However, how to develop those skills in classroom settings is an area that…
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History of Modern Applied Mathematics in Mathematics Education
ERIC Educational Resources Information Center
Jankvist, Uffe Thomas
2009-01-01
This article discusses the integration of history of modern applied mathematics in mathematics education as well as the possible teaching and learning benefits of introducing a newer history of mathematics over an old(er) one--something that seems to be done most often when integrating history. Three cases of the history of modern applied…
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Elementary Pre-Service Teachers' Mathematics Anxiety and Mathematics Teaching Anxiety
ERIC Educational Resources Information Center
Haciomeroglu, Guney
2014-01-01
The present study examined the structure of elementary pre-service teachers' mathematics anxiety and mathematics teaching anxiety by asking whether the two systems of anxiety are related. The Turkish Mathematics Anxiety Rating Scale Short Version and the Mathematics Teaching Anxiety Scale were administered to 260 elementary pre-service teachers.…
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Foundations of mathematics and literacy: The role of executive functioning components.
Purpura, David J; Schmitt, Sara A; Ganley, Colleen M
2017-01-01
The current study investigated the relations between the three cognitive processes that comprise executive functioning (EF)-response inhibition, working memory, and cognitive flexibility-and individual components of mathematics and literacy skills in preschool children. Participants were 125 preschool children ranging in age from 3.12 to 5.26years (M=4.17years, SD=0.58). Approximately 53.2% were female, and the sample was predominantly Caucasian (69.8%). Results suggest that the components of EF may be differentially related to the specific components of early mathematics and literacy. For mathematics, response inhibition was broadly related to most components. Working memory was related to more advanced mathematics skills that involve comparison or combination of numbers and quantities. Cognitive flexibility was related to more conceptual or abstract mathematics skills. For early literacy, response inhibition and cognitive flexibility were related to print knowledge, and working memory was related only to phonological awareness. None of the EF components was related to vocabulary. These findings provide initial evidence for better understanding the ways in which EF components and academic skills are related and measured. Furthermore, the findings provide a foundation for further study of the components of each domain using a broader and more diverse array of measures. Copyright © 2016 Elsevier Inc. All rights reserved.
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ERIC Educational Resources Information Center
Bell, Max S., Ed.
This is a collection of articles dealing with mathematical applications for use by high school teachers and students. The articles are intended to illustrate several themes: (1) how mathematics is applied via construction of mathematical models; (2) the various types of activities in applied mathematics; (3) the role of pure mathematics in applied…
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Batchelder, William H
2010-09-01
Mathematical psychology is a sub-field of psychology that started in the 1950s and has continued to grow as an important contributor to formal psychological theory, especially in the cognitive areas of psychology such as learning, memory, classification, choice response time, decision making, attention, and problem solving. In addition, there are several scientific sub-areas that were originated by mathematical psychologists such as the foundations of measurement, stochastic memory models, and psychologically motivated reformulations of expected utility theory. Mathematical psychology does not include all uses of mathematics and statistics in psychology, and indeed there is a long history of such uses especially in the areas of perception and psychometrics. What is most unique about mathematical psychology is its approach to theory construction. While accepting the behaviorist dictum that the data in psychology must be observable and replicable, mathematical models are specified in terms of unobservable formal constructs that can predict detailed aspects of data across multiple experimental and natural settings. By now almost all the substantive areas of cognitive and experimental psychology have formal mathematical models and theories, and many of these are due to researchers that identify with mathematical psychology. Copyright © 2010 John Wiley & Sons, Ltd. For further resources related to this article, please visit the WIREs website. Copyright © 2010 John Wiley & Sons, Ltd.
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Mathematical marriages: intercourse between mathematics and Semiotic choice.
Wagner, Roy
2009-04-01
This paper examines the interaction between Semiotic choices and the presentation and solution of a family of contemporary mathematical problems centred around the so-called 'stable marriage problem'. I investigate how a socially restrictive choice of signs impacts mathematical production both in terms of problem formation and of solutions. I further note how the choice of gendered language ends up constructing a reality, which duplicates the very structural framework that it imported into mathematical analysis in the first place. I go on to point out some semiotic lines of flight from this interlocking grip of mathematics and gendered language.
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ERIC Educational Resources Information Center
Wai, Jonathan; Lubinski, David; Benbow, Camilla P.; Steiger, James H.
2010-01-01
Two studies examined the relationship between precollegiate advanced/enriched educational experiences and adult accomplishments in science, technology, engineering, and mathematics (STEM). In Study 1, 1,467 13-year-olds were identified as mathematically talented on the basis of scores [greater than or equal to] 500 (top 0.5%) on the math section…
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ERIC Educational Resources Information Center
Hong, Hee Kyung
2012-01-01
The purpose of this study was to simultaneously examine relationships between teacher quality and instructional time and mathematics and science achievement of 8th grade cohorts in 18 advanced and developing economies. In addition, the study examined changes in mathematics and science performance across the two groups of economies over time using…
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ERIC Educational Resources Information Center
Garcia-Santillán, Arturo; Moreno-Garcia, Elena; Escalera-Chávez, Milka E.; Rojas-Kramer, Carlos A.; Pozos-Texon, Felipe
2016-01-01
Most mathematics students show a definite tendency toward an attitudinal deficiency, which can be primarily understood as intolerance to the matter, affecting their scholar performance adversely. In addition, information and communication technologies have been gradually included within the process of teaching mathematics. Such adoption of…
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Between the Academic Mathematics and the Mathematics Education Worlds.
ERIC Educational Resources Information Center
Moreira, Candida Queiroz
1997-01-01
Investigated stresses confronted by Portuguese secondary mathematics teachers during the first semester in a master's course, Perspectives on Mathematics Education, noting how they negatively affected teachers' self-confidence and morale and discussing fundamental issues teachers addressed in bridging the academic mathematics and mathematics…
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[Research advances in dendrochronology].
Fang, Ke-Yan; Chen, Qiu-Yan; Liu, Chang-Zhi; Cao, Chun-Fu; Chen, Ya-Jun; Zhou, Fei-Fei
2014-07-01
Tree-ring studies in China have achieved great advances since the 1990s, particularly for the dendroclimatological studies which have made some influence around the world. However, because of the uneven development, limited attention has been currently paid on the other branches of dendrochronology. We herein briefly compared the advances of dendrochronology in China and of the world and presented suggestions on future dendrochronological studies. Large-scale tree-ring based climate reconstructions in China are highly needed by employing mathematical methods and a high quality tree-ring network of the ring-width, density, stable isotope and wood anatomy. Tree-ring based field climate reconstructions provide potentials on explorations of climate forcings during the reconstructed periods via climate diagnosis and process simulation.
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NASA Astrophysics Data System (ADS)
Scott, Catherine Elizabeth
This study examined the characteristics of 10 science, technology, engineering, and mathematics (STEM) focused high schools. A comparative case designed was used to identify key components of STEM school designs. Schools were selected from various regions across the United States. Data collected included websites, national statistics database, standardized test scores, interviews and published articles. Results from this study indicate that there is a variety of STEM high school programs designed to increase students' ability to pursue college degrees in STEM fields. The school mission statements influence the overall school design. Students at STEM schools must submit an application to be admitted to STEM high schools. Half of the STEM high schools used a lottery system to select students. STEM high schools have a higher population of black students and a lower population of white and Hispanic students than most schools in the United States. They serve about the same number of economically disadvantaged students. The academic programs at STEM high schools are more rigorous with electives focused on STEM content. In addition to coursework requirements, students must also complete internships and/or a capstone project. Teachers who teach in STEM schools are provided regularly scheduled professional development activities that focus on STEM content and pedagogy. Teachers provide leadership in the development and delivery of the professional development activities.
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Perez-Felkner, Lara; Nix, Samantha; Thomas, Kirby
2017-01-01
Do mathematics ability beliefs explain gender gaps in the physical science, engineering, mathematics, and computer science fields (PEMC) and other science fields? We leverage U.S. nationally representative longitudinal data to estimate gendered differences in girls' and boys' perceptions of mathematics ability with the most difficult or challenging material. Our analyses examine the potentially interacting effects of gender and these ability beliefs on students' pathways to scientific careers. Specifically, we study how beliefs about ability with challenging mathematics influence girls' and boys' choices to pursue PEMC degrees, evaluating educational milestones over a 6-year period: advanced science course completion in secondary school and postsecondary major retention and selection. Our findings indicate even at the same levels of observed ability, girls' mathematics ability beliefs under challenge are markedly lower than those of boys. These beliefs matter over time, potentially tripling girls' chances of majoring in PEMC sciences, over and above biological science fields, all else being equal. Implications and potential interventions are discussed. PMID:28428762
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Perez-Felkner, Lara; Nix, Samantha; Thomas, Kirby
2017-01-01
Do mathematics ability beliefs explain gender gaps in the physical science, engineering, mathematics, and computer science fields (PEMC) and other science fields? We leverage U.S. nationally representative longitudinal data to estimate gendered differences in girls' and boys' perceptions of mathematics ability with the most difficult or challenging material. Our analyses examine the potentially interacting effects of gender and these ability beliefs on students' pathways to scientific careers. Specifically, we study how beliefs about ability with challenging mathematics influence girls' and boys' choices to pursue PEMC degrees, evaluating educational milestones over a 6-year period: advanced science course completion in secondary school and postsecondary major retention and selection. Our findings indicate even at the same levels of observed ability, girls' mathematics ability beliefs under challenge are markedly lower than those of boys. These beliefs matter over time, potentially tripling girls' chances of majoring in PEMC sciences, over and above biological science fields, all else being equal. Implications and potential interventions are discussed.
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The materiality of mathematics: presenting mathematics at the blackboard.
Greiffenhagen, Christian
2014-09-01
Sociology has been accused of neglecting the importance of material things in human life and the material aspects of social practices. Efforts to correct this have recently been made, with a growing concern to demonstrate the materiality of social organization, not least through attention to objects and the body. As a result, there have been a plethora of studies reporting the social construction and effects of a variety of material objects as well as studies that have explored the material dimensions of a diversity of practices. In different ways these studies have questioned the Cartesian dualism of a strict separation of 'mind' and 'body'. However, it could be argued that the idea of the mind as immaterial has not been entirely banished and lingers when it comes to discussing abstract thinking and reasoning. The aim of this article is to extend the material turn to abstract thought, using mathematics as a paradigmatic example. This paper explores how writing mathematics (on paper, blackboards, or even in the air) is indispensable for doing and thinking mathematics. The paper is based on video recordings of lectures in formal logic and investigates how mathematics is presented at the blackboard. The paper discusses the iconic character of blackboards in mathematics and describes in detail a number of inscription practices of presenting mathematics at the blackboard (such as the use of lines and boxes, the designation of particular regions for specific mathematical purposes, as well as creating an 'architecture' visualizing the overall structure of the proof). The paper argues that doing mathematics really is 'thinking with eyes and hands' (Latour 1986). Thinking in mathematics is inextricably interwoven with writing mathematics. © London School of Economics and Political Science 2014.
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AP: Not a Replacement for Challenging College Coursework
ERIC Educational Resources Information Center
Walsh, Margaret
2016-01-01
College affordability is weighing heavily this year on the minds of students, parents, faculty, and the U.S. electorate. Intent on saving money on college tuition as well as impressing college admissions committees, high-achieving students frequently start college-level work early through Advanced Placement courses. However, these courses do not…
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Should I Stay or Should I Go? Persistence in Postsecondary Mathematics Coursework
ERIC Educational Resources Information Center
Ntow, Forster D.; Covington Clarkson, Lesa M.; Chidthachack, Sousada; Crotty, Elizabeth A.
2017-01-01
This paper draws on self-determination theory (SDT) to explore reasons for college students' decisions to either continue or change directions (and hence their persistence) from their STEM-intending majors. We therefore sought to gain insight into why some college students persisted in their STEM-intending degree programs while others, faced with…
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ERIC Educational Resources Information Center
Kilpatrick, Jeremy
2014-01-01
This paper addresses the contested way that ethnomathematics has sometimes been received by mathematicians and others and what that disagreement might suggest about issues in mathematics education; namely, (a) the relation of ethnomathematics to academic mathematics; (b) recent efforts to reform secondary school mathematics so that it prepares…
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Mathematical Model of the Jet Engine Fuel System
NASA Astrophysics Data System (ADS)
Klimko, Marek
2015-05-01
The paper discusses the design of a simplified mathematical model of the jet (turbo-compressor) engine fuel system. The solution will be based on the regulation law, where the control parameter is a fuel mass flow rate and the regulated parameter is the rotational speed. A differential equation of the jet engine and also differential equations of other fuel system components (fuel pump, throttle valve, pressure regulator) will be described, with respect to advanced predetermined simplifications.
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ERIC Educational Resources Information Center
Campbell, Sara Sunshine
2012-01-01
Teacher education programs have been criticized as too theoretical with university courses disconnected from the practical realities of classrooms. This single case study investigates a model of teacher education that worked to bridge the coursework-fieldwork gap in teacher education. The Mediated Field Experience (MFE) is a field experience…
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Gibiansky, Leonid; Gibiansky, Ekaterina
2018-02-01
The emerging discipline of mathematical pharmacology occupies the space between advanced pharmacometrics and systems biology. A characteristic feature of the approach is application of advance mathematical methods to study the behavior of biological systems as described by mathematical (most often differential) equations. One of the early application of mathematical pharmacology (that was not called this name at the time) was formulation and investigation of the target-mediated drug disposition (TMDD) model and its approximations. The model was shown to be remarkably successful, not only in describing the observed data for drug-target interactions, but also in advancing the qualitative and quantitative understanding of those interactions and their role in pharmacokinetic and pharmacodynamic properties of biologics. The TMDD model in its original formulation describes the interaction of the drug that has one binding site with the target that also has only one binding site. Following the framework developed earlier for drugs with one-to-one binding, this work aims to describe a rigorous approach for working with similar systems and to apply it to drugs that bind to targets with two binding sites. The quasi-steady-state, quasi-equilibrium, irreversible binding, and Michaelis-Menten approximations of the model are also derived. These equations can be used, in particular, to predict concentrations of the partially bound target (RC). This could be clinically important if RC remains active and has slow internalization rate. In this case, introduction of the drug aimed to suppress target activity may lead to the opposite effect due to RC accumulation.
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ERIC Educational Resources Information Center
Fox, Rebecca K.; Muccio, Leah S.; White, C. Stephen; Tian, Jie
2015-01-01
Since closing the gap between different levels of professional development for teachers has been identified as a particular need in our profession, capturing the results of professional coursework can help teacher educators better understand and meet the unique needs of teachers with different levels of experience. This study examined the effects…
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Exploring Mathematical Capital: An Essential Construct for Mathematical Success?
ERIC Educational Resources Information Center
Baber, Marla Ann Lasswell
2017-01-01
In the United States students have traditionally struggled with mathematics. Many students leave the educational system with limited mathematical literacy that can adversely affect their success as a college student, a consumer and citizen. In turn, lack of mathematical literacy affects their socioeconomic status. Through improving their…
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From Mathematical Reading to Mathematical Literacy
ERIC Educational Resources Information Center
Beaudine, Gregory
2018-01-01
If teachers have a deeper comprehension of their students' reading ability, it may lead to students' improved literacy and understanding of the subject. The account presented in this article of the author's growing interest in mathematical literacy specifically involves mathematical reading. This shift in interest began with a six-week…
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ERIC Educational Resources Information Center
Gavrilovic, Daniel Miodrag
2013-01-01
The No Child Left Behind Act of 2001 has put many schools under a lot of pressure to meet its high demands. In this quantitative study, the effects that the NCLB act has had on students' opportunity to learn (OTL) and Subject Level Success (SS) from 2004 to 2012 in 9th, 10th, and 11th grade math coursework (Algebra 1, Geometry, Algebra 2, and…
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Mathematical Modeling: Challenging the Figured Worlds of Elementary Mathematics
ERIC Educational Resources Information Center
Wickstrom, Megan H.
2017-01-01
This article is a report on a teacher study group that focused on three elementary teachers' perceptions of mathematical modeling in contrast to typical mathematics instruction. Through the theoretical lens of figured worlds, I discuss how mathematics instruction was conceptualized across the classrooms in terms of artifacts, discourse, and…
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Mathematics Teachers' Ideas about Mathematical Models: A Diverse Landscape
ERIC Educational Resources Information Center
Bautista, Alfredo; Wilkerson-Jerde, Michelle H.; Tobin, Roger G.; Brizuela, Bárbara M.
2014-01-01
This paper describes the ideas that mathematics teachers (grades 5-9) have regarding mathematical models of real-world phenomena, and explores how teachers' ideas differ depending on their educational background. Participants were 56 United States in-service mathematics teachers. We analyzed teachers' written responses to three open-ended…
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Enhancing Core Mathematics Courses
ERIC Educational Resources Information Center
Billings, Esther; Schlicker, Steven; Novotny, Karen; Tefera, Akalu
2004-01-01
The Departments of Mathematics and Statistics at Grand Valley State University are engaged in a project to address the mathematical preparation of all its majors, including prospective elementary and secondary mathematics teachers. In this article, we describe how the mathematics and mathematics education faculty in our mathematics department…
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The Challenge of Learning Physics Before Mathematics: A Case Study of Curriculum Change in Taiwan
NASA Astrophysics Data System (ADS)
Chiu, Mei-Shiu
2016-12-01
The aim of this study was to identify challenges in implementing a physics-before- 10 mathematics curriculum. Obviously, students need to learn necessary mathematics skills in order to develop advanced physics knowledge. In the 2010 high school curriculum in Taiwan, however, grade 11 science students study two-dimensional motion in physics without prior learning experiences of trigonometry in mathematics. The perspectives of three curriculum developers, 22 mathematics and physics teachers, two principals, and 45 science students were obtained by interview. The results of qualitative data analysis revealed six challenges and suggested likely solutions. The national level includes political and social challenges, resolved by respecting teachers as professionals; the teacher level includes knowledge and teaching challenges, resolved by increasing teacher trans-literal capacities; and the student level includes learning and justice challenges, resolved by focusing on students' diverse developments in cross-domain learning.
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Mathematics and engineering in real life through mathematical competitions
NASA Astrophysics Data System (ADS)
More, M.
2018-02-01
We bring out an experience of organizing mathematical competitions that can be used as a medium to motivate the student and teacher minds in new directions of thinking. This can contribute to fostering research, innovation and provide a hands-on experience of mathematical concepts with the real world. Mathematical competitions can be used to build curiosity and give an understanding of mathematical applications in real life. Participation in the competition has been classified under four broad categories. Student can showcase their findings in various forms of expression like model, poster, soft presentation, animation, live performance, art and poetry. The basic focus of the competition is on using open source computation tools and modern technology, to emphasize the relationship of mathematical concepts with engineering applications in real life.
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The relative importance of two different mathematical abilities to mathematical achievement.
Nunes, Terezinha; Bryant, Peter; Barros, Rossana; Sylva, Kathy
2012-03-01
Two distinct abilities, mathematical reasoning and arithmetic skill, might make separate and specific contributions to mathematical achievement. However, there is little evidence to inform theory and educational practice on this matter. The aims of this study were (1) to assess whether mathematical reasoning and arithmetic make independent contributions to the longitudinal prediction of mathematical achievement over 5 years and (2) to test the specificity of this prediction. Data from Avon Longitudinal Study of Parents and Children (ALSPAC) were available on 2,579 participants for analyses of KS2 achievement and on 1,680 for the analyses of KS3 achievement. Hierarchical regression analyses were used to assess the independence and specificity of the contribution of mathematical reasoning and arithmetic skill to the prediction of achievement in KS2 and KS3 mathematics, science, and English. Age, intelligence, and working memory (WM) were controls in these analyses. Mathematical reasoning and arithmetic did make independent contributions to the prediction of mathematical achievement; mathematical reasoning was by far the stronger predictor of the two. These predictions were specific in so far as these measures were more strongly related to mathematics than to science or English. Intelligence and WM were non-specific predictors; intelligence contributed more to the prediction of science than of maths, and WM predicted maths and English equally well. There is clear justification for making a distinction between mathematical reasoning and arithmetic skills. The implication is that schools must plan explicitly to improve mathematical reasoning as well as arithmetic skills. ©2011 The British Psychological Society.
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Mathematics for Language, Language for Mathematics
ERIC Educational Resources Information Center
Prochazkova, Lenka Tejkalova
2013-01-01
The author discusses the balance and mutual influence of the language of instruction and mathematics in the context of CLIL, Content and Language Integrated Learning. Different aspects of the relationship of language and Mathematics teaching and learning are discussed: the benefits of using a foreign language of instruction, as well as the…
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Sex and mathematical background as predictors of anxiety and self-efficacy in mathematics.
Lussier, G
1996-12-01
Anxiety and self-efficacy in mathematics as a function of sex and mathematical background were investigated. This study employed an ex post facto 2 x 2 factorial design in which sex and mathematical background were classification variables. It was predicted that men would report lower anxiety scores and higher self-efficacy scores than women and that students with a high mathematical background would report lower anxiety scores and higher self-efficacy scores than those with a low background in mathematics. An interaction between sex and mathematical background was also predicted. 51 subjects were given the revised Mathematics Anxiety Scale and the Mathematics Self-efficacy Scale. Results supported the hypotheses with respect to background in mathematics for anxiety in mathematics, and all of the hypotheses were supported for self-efficacy in mathematics.
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ERIC Educational Resources Information Center
Ritzhaupt, Albert; Higgins, Heidi; Allred, Beth
2011-01-01
This study investigated the effects of modern educational game playing on middle school students' attitudes towards mathematics, mathematics self-efficacy, and mathematics achievement. Two hundred twenty-five middle school students from four different Title 1 schools in two different counties in the southeastern United States were recruited.…
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ERIC Educational Resources Information Center
Vukovic, Rose K.; Kieffer, Michael J.; Bailey, Sean P.; Harari, Rachel R.
2013-01-01
This study explored mathematics anxiety in a longitudinal sample of 113 children followed from second to third grade. We examined how mathematics anxiety related to different types of mathematical performance concurrently and longitudinally and whether the relations between mathematics anxiety and mathematical performance differed as a function of…
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Mathematics Lessons without ...
ERIC Educational Resources Information Center
Cross, Kath; Hibbs, John
2006-01-01
In the Association of Teachers of Mathematics (ATM) Easter conference, 2006, the authors presented a list of important aspects of mathematics lessons, recommended for students to have a positive attitude to mathematics and for teachers to acquire effective teaching. The following are discussed in detail: (1) Mathematics lessons without good…
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ERIC Educational Resources Information Center
Lowe, James; Carter, Merilyn; Cooper, Tom
2018-01-01
Mathematical models are conceptual processes that use mathematics to describe, explain, and/or predict the behaviour of complex systems. This article is written for teachers of mathematics in the junior secondary years (including out-of-field teachers of mathematics) who may be unfamiliar with mathematical modelling, to explain the steps involved…
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Dilemma in Teaching Mathematics
ERIC Educational Resources Information Center
Md Kamaruddin, Nafisah Kamariah; Md Amin, Zulkarnain
2012-01-01
The challenge in mathematics education is finding the best way to teach mathematics. When students learn the reasoning and proving in mathematics, they will be proficient in mathematics. Students must know mathematics before they can apply it. Symbolism and logic is the key to both the learning of mathematics and its effective application to…
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Mathematics Teacher Candidates' Metaphors about the Concept of "Mathematics"
ERIC Educational Resources Information Center
Erdogan, Ahmet; Yazlik, Derya Ozlem; Erdik, Cengiz
2014-01-01
The main purpose of this study was to research mathematics teacher candidates' perceptions about the concept of "mathematics" through the use of metaphors. The research is conducted during 2012-2013 academic year, on a group of 111 mathematics teacher candidates at the Education Faculty of a University in Turkey. To collect the research…
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ERIC Educational Resources Information Center
Areepattamannil, Shaljan; Kaur, Berinderjeet
2012-01-01
This study, drawing on data from the Trends in International Mathematics and Science Study (TIMSS) 2007, examined the influences of self-perceived competence in mathematics and positive affect toward mathematics on mathematics achievement of adolescents in Singapore. Ordinary least squares (OLS) regression analyses revealed the positive influences…
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The DREME Network: Research and Interventions in Early Childhood Mathematics.
Day-Hess, Crystal; Clements, Douglas H
2017-01-01
The DREME Network was created to advance the field of early mathematics research and improves the opportunities to develop math competencies offered to children birth through age 8 years, with an emphasis on the preschool years. All four main Network projects will have implications for interventions. Section 1 introduces the Network and its four projects. The remainder of the chapter focuses on one of these four projects, Making More of Math (MMM), in depth. MMM is directly developing an intervention for children, based on selecting high-quality instructional activities culled from the burgeoning curriculum resources. We first report a review of 457 activities from 6 research-based curricula, which describes the number of activities by content focus, type (nature), and setting of each activity. Given the interest in higher-order thinking skills and self-regulation, we then identified activities that had the potential to, develop both mathematics and executive function (EF) proficiencies. We rated these, selecting the top 10 for extensive coding by mathematics content and EF processes addressed. We find a wide divergence across curricula in all these categories and provide comprehensive reports for those interested in selecting, using, or developing early mathematics curricula. © 2017 Elsevier Inc. All rights reserved.
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ERIC Educational Resources Information Center
Cain, David
2007-01-01
This article presents the first part of the closing address given by the author to the 2007 Association of Teachers of Mathematics (ATM) Easter conference at Loughborough. In his closing address, the author focuses on functioning mathematically as opposed to functional mathematics. His view of functional mathematics is that the focus is on someone…
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DOE Office of Scientific and Technical Information (OSTI.GOV)
Philip, Bobby
2012-06-01
The Advanced Multi-Physics (AMP) code, in its present form, will allow a user to build a multi-physics application code for existing mechanics and diffusion operators and extend them with user-defined material models and new physics operators. There are examples that demonstrate mechanics, thermo-mechanics, coupled diffusion, and mechanical contact. The AMP code is designed to leverage a variety of mathematical solvers (PETSc, Trilinos, SUNDIALS, and AMP solvers) and mesh databases (LibMesh and AMP) in a consistent interchangeable approach.
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Mathematics and Engineering in Real Life through Mathematical Competitions
ERIC Educational Resources Information Center
More, M.
2018-01-01
We bring out an experience of organizing mathematical competitions that can be used as a medium to motivate the student and teacher minds in new directions of thinking. This can contribute to fostering research, innovation and provide a hands-on experience of mathematical concepts with the real world. Mathematical competitions can be used to build…
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Mathematical Fiction: Its Place in Secondary-School Mathematics Learning
ERIC Educational Resources Information Center
Padula, Janice
2005-01-01
This article contains a small selection of mathematical fiction chosen with the teaching of mathematics in secondary school in mind. However, an attempt is made to classify the works and provide a few ideas about how these items may be used by mathematics teachers, sometimes, but not necessarily, in collaboration with science and humanities…
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ERIC Educational Resources Information Center
Campos, Daniel G.
2010-01-01
I articulate Charles S. Peirce's philosophy of mathematical education as related to his conception of mathematics, the nature of its method of inquiry, and especially, the reasoning abilities required for mathematical inquiry. The main thesis is that Peirce's philosophy of mathematical education primarily aims at fostering the development of the…
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An Investigation of Mathematical Modeling with Pre-Service Secondary Mathematics Teachers
ERIC Educational Resources Information Center
Thrasher, Emily Plunkett
2016-01-01
The goal of this thesis was to investigate and enhance our understanding of what occurs while pre-service mathematics teachers engage in a mathematical modeling unit that is broadly based upon mathematical modeling as defined by the Common Core State Standards for Mathematics (National Governors Association Center for Best Practices & Council…
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Advanced Physiological Estimation of Cognitive Status (APECS)
2009-09-15
REPORT Advanced Physiological Estimation of Cognitive Status (APECS) Final Report 14. ABSTRACT 16. SECURITY CLASSIFICATION OF: EEG...fitness and transmit data to command and control systems. Some of the signals that the physiological sensors measure are readily interpreted, such as...electroencephalogram (EEG) and other signals requires a complex series of mathematical transformations or algorithms. Overall, research on algorithms
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Exemplarity in Mathematics Education: From a Romanticist Viewpoint to a Modern Hermeneutical One
ERIC Educational Resources Information Center
Patronis, Tasos; Spanos, Dimitris
2013-01-01
This paper proposes a setting of "exemplarity" different from the already known one, which is basically a Romanticist philosophical setting. Our general aim is to describe and explore the nature of some "exemplary themes" and "interpretive models" in advanced mathematics teaching and learning. In order to do so, we…
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A Conceptual Model of Mathematical Reasoning for School Mathematics
ERIC Educational Resources Information Center
Jeannotte, Doris; Kieran, Carolyn
2017-01-01
The development of students' mathematical reasoning (MR) is a goal of several curricula and an essential element of the culture of the mathematics education research community. But what mathematical reasoning consists of is not always clear; it is generally assumed that everyone has a sense of what it is. Wanting to clarify the elements of MR,…
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Grounded Blends and Mathematical Gesture Spaces: Developing Mathematical Understandings via Gestures
ERIC Educational Resources Information Center
Yoon, Caroline; Thomas, Michael O. J.; Dreyfus, Tommy
2011-01-01
This paper examines how a person's gesture space can become endowed with mathematical meaning associated with mathematical spaces and how the resulting mathematical gesture space can be used to communicate and interpret mathematical features of gestures. We use the theory of grounded blends to analyse a case study of two teachers who used gestures…
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Mathemaphobia and Teaching Learning Materials as Correlates of Pupils Achievement in Mathematics
ERIC Educational Resources Information Center
Oyegoke, D. A.; Oyelabi, O.; Nnaji, C. C.
2016-01-01
The importance of mathematics to the effective daily living and contributions to the scientific and technological advancement of the society cannot be over-emphasized. As important as this subject is, there seems to be a lot variable that promote or inhibit the pupils' performance in it as various level of Nigerian educational system. The study…
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Some unsolved problems in discrete mathematics and mathematical cybernetics
NASA Astrophysics Data System (ADS)
Korshunov, Aleksei D.
2009-10-01
There are many unsolved problems in discrete mathematics and mathematical cybernetics. Writing a comprehensive survey of such problems involves great difficulties. First, such problems are rather numerous and varied. Second, they greatly differ from each other in degree of completeness of their solution. Therefore, even a comprehensive survey should not attempt to cover the whole variety of such problems; only the most important and significant problems should be reviewed. An impersonal choice of problems to include is quite hard. This paper includes 13 unsolved problems related to combinatorial mathematics and computational complexity theory. The problems selected give an indication of the author's studies for 50 years; for this reason, the choice of the problems reviewed here is, to some extent, subjective. At the same time, these problems are very difficult and quite important for discrete mathematics and mathematical cybernetics. Bibliography: 74 items.
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ERIC Educational Resources Information Center
Howe, Christine; Luthman, Stefanie; Ruthven, Kenneth; Mercer, Neil; Hofmann, Riikka; Ilie, Sonia; Guardia, Paula
2015-01-01
Reflecting concerns about student attainment and participation in mathematics and science, the Effecting Principled Improvement in STEM Education ("epiSTEMe") project attempted to support pedagogical advancement in these two disciplines. Using principles identified as effective in the research literature (and combining these in a novel…
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ERIC Educational Resources Information Center
Evans, Michael A.; Pruett, Jordan; Chang, Mido; Nino, Miguel
2014-01-01
Middle school mathematics education is subject to ongoing reform based on advances in digital instructional technologies, especially learning games, leading to recent calls for investment in "personalized learning." Through an extensive literature review, this investigation identified three priority areas that should be taken into…
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NASA Astrophysics Data System (ADS)
van der Hoff, Quay
2017-08-01
The science of biology has been transforming dramatically and so the need for a stronger mathematical background for biology students has increased. Biological students reaching the senior or post-graduate level often come to realize that their mathematical background is insufficient. Similarly, students in a mathematics programme, interested in biological phenomena, find it difficult to master the complex systems encountered in biology. In short, the biologists do not have enough mathematics and the mathematicians are not being taught enough biology. The need for interdisciplinary curricula that includes disciplines such as biology, physical science, and mathematics is widely recognized, but has not been widely implemented. In this paper, it is suggested that students develop a skill set of ecology, mathematics and technology to encourage working across disciplinary boundaries. To illustrate such a skill set, a predator-prey model that contains self-limiting factors for both predator and prey is suggested. The general idea of dynamics, is introduced and students are encouraged to discover the applicability of this approach to more complex biological systems. The level of mathematics and technology required is not advanced; therefore, it is ideal for inclusion in a senior-level or introductory graduate-level course for students interested in mathematical biology.
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Supporting Online AP Students: The Rural Facilitator and Considerations for Training
ERIC Educational Resources Information Center
Hendrix, Nicole; Degner, Katherine
2016-01-01
Online courses supplemented by on-site facilitators help many rural students pursue advanced coursework, but research is warranted to better understand facilitator role and training needs. This study examined facilitation experiences, demographic characteristics, and professional development activities of rural on-site facilitators associated with…
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Mathematics and Sports. Mathematical World. Volume 3.
ERIC Educational Resources Information Center
Sadovskii, L. E.; Sadovskii, A. L.
This volume contains some examples of mathematical applications in sports. Sports discussed include tennis, figure skating, gymnastics, track and field, soccer, skiing, hockey, and swimming. Problems and situations are posed and answers with thorough explanations are provided. Chapters include: (1) Mathematics and Sports; (2) What Is Applied…
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Growing-Making Mathematics: A Dynamic Perspective on People, Materials, and Movement in Classrooms
ERIC Educational Resources Information Center
Roth, Wolff-Michael
2016-01-01
Recent theoretical advances on learning (mathematics) emphasize the fact that what results from engagement with curriculum materials is not entirely in the control of the students in the way classical theories of knowing and learning suggest. These new theories distinguish themselves by either invoking distributed agency, some of which is…
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ERIC Educational Resources Information Center
Cheshire, Daniel C.
2017-01-01
The introduction to general topology represents a challenging transition for students of advanced mathematics. It requires the generalization of their previous understanding of ideas from fields like geometry, linear algebra, and real or complex analysis to fit within a more abstract conceptual system. Students must adopt a new lexicon of…
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Mathematical Creativity and Mathematical Aptitude: A Cross-Lagged Panel Analysis
ERIC Educational Resources Information Center
Tyagi, Tarun Kumar
2016-01-01
Cross-lagged panel correlation (CLPC) analysis has been used to identify causal relationships between mathematical creativity and mathematical aptitude. For this study, 480 8th standard students were selected through a random cluster technique from 9 intermediate and high schools of Varanasi, India. Mathematical creativity and mathematical…
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Mathematical Models of Elementary Mathematics Learning and Performance. Final Report.
ERIC Educational Resources Information Center
Suppes, Patrick
This project was concerned with the development of mathematical models of elementary mathematics learning and performance. Probabilistic finite automata and register machines with a finite number of registers were developed as models and extensively tested with data arising from the elementary-mathematics strand curriculum developed by the…