Sample records for progression mathematics

  1. Has Progress in Mathematics Slowed Down?

    ERIC Educational Resources Information Center

    Halmos, Paul R.

    1990-01-01

    Reported is whether and how mathematics has changed during the 75 years of the Mathematical Association of America's (MAA) existence. The progress of mathematics is organized into 9 concepts, 2 explosions, and 11 developments. (KR)

  2. Problematising the Pursuit of Progress in Mathematics Education

    ERIC Educational Resources Information Center

    Llewellyn, Anna

    2016-01-01

    In this article, I use a Foucauldian poststructural analysis to examine productions of progress within key discursive spaces of mathematics education. These sites of production are educational policy, mathematics education research and case studies of primary school student-teachers in England. From my analysis, I show how progress governs what is…

  3. The Nation's Report Card: Mathematics 2011. National Assessment of Educational Progress at Grades 4 and 8. NCES 2012-458

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2011

    2011-01-01

    This report presents results of the 2011 National Assessment of Educational Progress (NAEP) in mathematics at grades 4 and 8. Nationally representative samples of 209,000 fourth-graders and 175,200 eighth-graders participated in the 2011 National Assessment of Educational Progress (NAEP) in mathematics. At each grade, students responded to…

  4. Exploring grade 3 teachers' resistance to `take up' progressive mathematics teaching roles

    NASA Astrophysics Data System (ADS)

    Westaway, Lise; Graven, Mellony

    2018-03-01

    This article addresses the question: Why teachers of mathematics have yet to `take up' progressive roles? Drawing on the philosophy of critical realism and its methodological equivalent, social realism, we analyse interview and observation data of four grade 3 teachers, with the view to identifying the mechanisms conditioning the expression of teachers' identities. In so doing, we show how post-apartheid changes in systemic roles of teachers create contradictory tensions for teachers as these bring their own mathematical learning and teaching experiences into contradiction with the new post-apartheid roles they are mandated to enact. We examine how this contradiction, together with beliefs about mathematics, pedagogy and learners, is expressed in the teaching of grade 3 mathematics. We maintain that the complementarity between teachers' beliefs and old systemic roles provides an explanation for why teachers of grade 3 mathematics have yet to `take-up' progressive roles. The implications point to the need for teacher development that creates enablers that lead to changes in classroom practices that align with policy-designated, progressive roles in teaching mathematics.

  5. Examining the Relationships among Mathematics Coaches and Specialists, Student Achievement, and Disability Status: A Multilevel Analysis Using National Assessment of Educational Progress Data

    ERIC Educational Resources Information Center

    Harbour, Kristin E.; Adelson, Jill L.; Pittard, Caroline M.; Karp, Karen S.

    2018-01-01

    Using restricted-use data from the 2011 National Assessment of Educational Progress mathematics assessment, the current study examined the relationship between the presence of elementary mathematics coaches and specialists (MCSs) and the mathematics achievement of more than 190,000 fourth-grade students in more than 7,400 schools nationwide. In…

  6. The Nation's Report Card: A First Look--2013 Mathematics and Reading. National Assessment of Educational Progress at Grades 4 and 8. NCES 2014-451

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    The National Assessment of Educational Progress (NAEP) mathematics assessment measures students' knowledge and skills in mathematics and students' ability to apply their knowledge in problem-solving situations. At each grade, students responded to questions designed to measure what they know and can do across five mathematics content areas: number…

  7. 34 CFR 200.13 - Adequate yearly progress in general.

    Code of Federal Regulations, 2011 CFR

    2011-07-01

    ...) Measures progress separately for reading/language arts and for mathematics; (6) Is the same for all public... mathematics; and (ii) The proficient and advanced scores of students with disabilities based on the modified... assessed in reading/language arts and in mathematics. (3) A State's or LEA's number of proficient and...

  8. 34 CFR 200.13 - Adequate yearly progress in general.

    Code of Federal Regulations, 2012 CFR

    2012-07-01

    ...) Measures progress separately for reading/language arts and for mathematics; (6) Is the same for all public... mathematics; and (ii) The proficient and advanced scores of students with disabilities based on the modified... assessed in reading/language arts and in mathematics. (3) A State's or LEA's number of proficient and...

  9. 34 CFR 200.13 - Adequate yearly progress in general.

    Code of Federal Regulations, 2013 CFR

    2013-07-01

    ...) Measures progress separately for reading/language arts and for mathematics; (6) Is the same for all public... mathematics; and (ii) The proficient and advanced scores of students with disabilities based on the modified... assessed in reading/language arts and in mathematics. (3) A State's or LEA's number of proficient and...

  10. 34 CFR 200.13 - Adequate yearly progress in general.

    Code of Federal Regulations, 2014 CFR

    2014-07-01

    ...) Measures progress separately for reading/language arts and for mathematics; (6) Is the same for all public... mathematics; and (ii) The proficient and advanced scores of students with disabilities based on the modified... assessed in reading/language arts and in mathematics. (3) A State's or LEA's number of proficient and...

  11. Progress Monitoring in Middle School Mathematics: Options and Issues

    ERIC Educational Resources Information Center

    Foegen, Anne

    2008-01-01

    This study investigated the technical features of six potential progress-monitoring measures in mathematics appropriate for use at the middle school level, including two commercially available measures for sixth-grade mathematics, two measures used in previous middle school studies, and two new measures of numeracy concepts. Five hundred…

  12. Mathematics Framework for the 2011 National Assessment of Educational Progress

    ERIC Educational Resources Information Center

    National Assessment Governing Board, 2010

    2010-01-01

    Since 1973, the National Assessment of Educational Progress (NAEP) has gathered information about student achievement in mathematics. Results of these periodic assessments, produced in print and web-based formats, provide valuable information to a wide variety of audiences. The NAEP Assessment in mathematics has two components that differ in…

  13. 34 CFR 200.13 - Adequate yearly progress in general.

    Code of Federal Regulations, 2010 CFR

    2010-07-01

    ...) Measures progress separately for reading/language arts and for mathematics; (6) Is the same for all public... mathematics; and (ii) The proficient and advanced scores of students with disabilities based on the modified... assessed in reading/language arts and in mathematics. (3) A State's or LEA's number of proficient and...

  14. Ocular hemodynamics and glaucoma: the role of mathematical modeling.

    PubMed

    Harris, Alon; Guidoboni, Giovanna; Arciero, Julia C; Amireskandari, Annahita; Tobe, Leslie A; Siesky, Brent A

    2013-01-01

    To discuss the role of mathematical modeling in studying ocular hemodynamics, with a focus on glaucoma. We reviewed recent literature on glaucoma, ocular blood flow, autoregulation, the optic nerve head, and the use of mathematical modeling in ocular circulation. Many studies suggest that alterations in ocular hemodynamics play a significant role in the development, progression, and incidence of glaucoma. Although there is currently a limited number of studies involving mathematical modeling of ocular blood flow, regulation, and diseases (such as glaucoma), preliminary modeling work shows the potential of mathematical models to elucidate the mechanisms that contribute most significantly to glaucoma progression. Mathematical modeling is a useful tool when used synergistically with clinical and laboratory data in the study of ocular blood flow and glaucoma. The development of models to investigate the relationship between ocular hemodynamic alterations and glaucoma progression will provide a unique and useful method for studying the pathophysiology of glaucoma.

  15. Results from the Fourth Mathematics Assessment of the National Assessment of Educational Progress.

    ERIC Educational Resources Information Center

    Lindquist, Mary Montgomery, Ed.

    The National Assessment of Educational Progress (NAEP) completed its fourth mathematics assessment during the 1985-86 school year and finished the analyses of the results in 1988. This monograph, prepared by an interpretive team of the National Council of Teachers of Mathematics, represents a comprehensive discussion of the results of the fourth…

  16. An Examination of 40 Years of Mathematics Education among Norwegian Braille-Reading Students

    ERIC Educational Resources Information Center

    Klingenberg, Oliv G.; Fosse, Per; Augestad, Liv Berit

    2012-01-01

    Introduction: The study presented here estimated the occurrence of braille-reading students in Norway who were educated according to their grade-level progression in mathematics from 1967 to 2007. It also analyzed the association among these students' progression in mathematics and the causes of visual impairment, the age at which the diagnosis…

  17. Web-Based Mathematics Progress Monitoring in Second Grade

    ERIC Educational Resources Information Center

    Salaschek, Martin; Souvignier, Elmar

    2014-01-01

    We examined a web-based mathematics progress monitoring tool for second graders. The tool monitors the learning progress of two competences, number sense and computation. A total of 414 students from 19 classrooms in Germany were checked every 3 weeks from fall to spring. Correlational analyses indicate that alternate-form reliability was adequate…

  18. Developing a Learning Progression for Curriculum, Instruction, and Student Learning: An Example from Mathematics Education

    ERIC Educational Resources Information Center

    Fonger, Nicole L.; Stephens, Ana; Blanton, Maria; Isler, Isil; Knuth, Eric; Gardiner, Angela Murphy

    2018-01-01

    Learning progressions have been demarcated by some for science education, or only concerned with levels of sophistication in student thinking as determined by logical analyses of the discipline. We take the stance that learning progressions can be leveraged in mathematics education as a form of curriculum research that advances a linked…

  19. Evaluation of the Achievement Levels for Mathematics and Reading on the National Assessment of Educational Progress

    ERIC Educational Resources Information Center

    National Academies Press, 2016

    2016-01-01

    Since 1969, the National Assessment of Educational Progress (NAEP) has been providing policymakers, educators, and the public with reports on academic performance and progress of the nation's students. The assessment is given periodically in a variety of subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, U.S.…

  20. The Mathematical Education of Engineers.

    ERIC Educational Resources Information Center

    Gnedenko, B. V.; Khalil, Z.

    1979-01-01

    Several general aspects are discussed. These include the role of mathematics in scientific and technical progress, some deficiencies in training, the role of mathematics in engineering faculties, and methods of improving mathematical training. (MP)

  1. A Preliminary Report of National Estimates from the National Assessment of Educational Progress, 1992 Mathematics Assessment.

    ERIC Educational Resources Information Center

    Elliott, Emerson J., Comp.

    This report contains preliminary results from the 1992 mathematics assessment by the National Assessment of Educational Progress (NAEP) of nationally representative samples of about 26,000 4th, 8th and 12th grade students in 1,500 public schools and private schools in 44 states; and compares data to findings from the 1990 NAEP mathematics tests.…

  2. 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…

  3. The Development of K-8 Progress Monitoring Measures in Mathematics for Use with the 2% and General Education Populations: Kindergarten. Technical Report # 0921

    ERIC Educational Resources Information Center

    Alonzo, Julie; Tindal, Gerald

    2009-01-01

    In this technical report, we describe the development and piloting of a series of mathematics progress monitoring measures intended for use with students in kindergarten. These measures, available as part of easyCBM[TM], an online progress monitoring assessment system, were developed in 2008 and administered to approximately 2800 students from…

  4. Progress in Modeling Nonlinear Dendritic Evolution in Two and Three Dimensions, and Its Mathematical Justification

    NASA Technical Reports Server (NTRS)

    Tanveer, S.; Foster, M. R.

    2002-01-01

    We report progress in three areas of investigation related to dendritic crystal growth. Those items include: 1. Selection of tip features dendritic crystal growth; 2) Investigation of nonlinear evolution for two-sided model; and 3) Rigorous mathematical justification.

  5. Improving students’ mathematical representational ability through RME-based progressive mathematization

    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.

  6. The Development of K-8 Progress Monitoring Measures in Mathematics for Use with the 2% and General Education Populations: Grade 1. Technical Report # 0919

    ERIC Educational Resources Information Center

    Alonzo, Julie; Tindal, Gerald

    2009-01-01

    In this technical report, we describe the development and piloting of a series of mathematics progress monitoring measures intended for use with students in grade 1. These measures, available as part of easyCBM [TM], an online progress monitoring assessment system, were developed in 2008 and administered to approximately 2800 students from schools…

  7. The Development of K-8 Progress Monitoring Measures in Mathematics for Use with the 2% and General Education Populations: Grade 3. Technical Report # 09-02

    ERIC Educational Resources Information Center

    Alonzo, Julie; Lai, Cheng Fei; Tindal, Gerald

    2009-01-01

    In this technical report, we describe the development and piloting of a series of mathematics progress monitoring measures intended for use with students in grades kindergarten through eighth grade. These measures, available as part of easyCBM[TM], an online progress monitoring assessment system, were developed in 2007 and 2008 and administered to…

  8. The Development of K-8 Progress Monitoring Measures in Mathematics for Use with the 2% and General Education Populations: Grade 2. Technical Report # 0920

    ERIC Educational Resources Information Center

    Alonzo, Julie; Lai, Cheng Fei; Tindal, Gerald

    2009-01-01

    In this technical report, we describe the development and piloting of a series of mathematics progress monitoring measures intended for use with students in grades kindergarten through eighth grade. These measures, available as part of easyCBM[TM], an online progress monitoring assessment system, were developed in 2007 and 2008 and administered to…

  9. The Development of K-8 Progress Monitoring Measures in Mathematics for Use with the 2% and General Education Populations: Grade 5. Technical Report # 09-01

    ERIC Educational Resources Information Center

    Lai, Cheng Fei; Alonzo, Julie; Tindal, Gerald

    2009-01-01

    In this technical report, we describe the development and piloting of a series of mathematics progress monitoring measures intended for use with students in grades kindergarten through eighth grade. These measures, available as part of easyCBM[TM], an online progress monitoring assessment system, were developed in 2007 and 2008 and administered to…

  10. The Development of K-8 Progress Monitoring Measures in Mathematics for Use with the 2% and General Education Populations: Grade 4. Technical Report # 09-03

    ERIC Educational Resources Information Center

    Alonzo, Julie; Lai, Cheng Fei; Tindal, Gerald

    2009-01-01

    In this technical report, we describe the development and piloting of a series of mathematics progress monitoring measures intended for use with students in grades kindergarten through eighth grade. These measures, available as part of easyCBM[TM], an online progress monitoring assessment system, were developed in 2007 and 2008 and administered to…

  11. The Development of K-8 Progress Monitoring Measures in Mathematics for Use with the 2% and General Education Populations: Grade 7. Technical Report 0908

    ERIC Educational Resources Information Center

    Lai, Cheng Fei; Alonzo, Julie; Tindal, Gerald

    2009-01-01

    In this technical report, we describe the development and piloting of a series of mathematics progress monitoring measures intended for use with students in grades kindergarten through eighth grade. These measures, available as part of easyCBM[TM], an online progress monitoring assessment system, were developed in 2007 and 2008 and administered to…

  12. The Development of K-8 Progress Monitoring Measures in Mathematics for Use with the 2% and General Education Populations: Grade 8. Technical Report # 09-04

    ERIC Educational Resources Information Center

    Lai, Cheng Fei; Alonzo, Julie; Tindal, Gerald

    2009-01-01

    In this technical report, we describe the development and piloting of a series of mathematics progress monitoring measures intended for use with students in grades kindergarten through eighth grade. These measures, available as part of easyCBM[TM], an online progress monitoring assessment system, were developed in 2007 and 2008 and administered to…

  13. Mathematics Framework for the 2013 National Assessment of Educational Progress

    ERIC Educational Resources Information Center

    National Assessment Governing Board, 2012

    2012-01-01

    Since 1973, the National Assessment of Educational Progress (NAEP) has gathered information about student achievement in mathematics. Results of these periodic assessments, produced in print and web-based formats, provide valuable information to a wide variety of audiences. They inform citizens about the nature of students' comprehension of the…

  14. An Analysis of Mathematics Interventions: Increased Time-on-Task Compared with Computer-Assisted Mathematics Instruction

    ERIC Educational Resources Information Center

    Calhoun, James M., Jr.

    2011-01-01

    Student achievement is not progressing on mathematics as measured by state, national, and international assessments. Much of the research points to mathematics curriculum and instruction as the root cause of student failure to achieve at levels comparable to other nations. Since mathematics is regarded as a gate keeper to many educational…

  15. Illinois Inventory of Educational Progress: 1979 Mathematics Results, 4th Grade.

    ERIC Educational Resources Information Center

    Brennan, Mervin M.; And Others

    Presented is an overview of the 1979 Illinois Inventory of Educational Progress (IIEP) for fourth-grade mathematics. The IIEP is a systematic effort by the Illinois State Board of Education to collect information on the educational achievement of Illinois students in certain areas and to make that information available to education…

  16. Illinois Inventory of Educational Progress: 1979 Mathematics Results, 11th Grade.

    ERIC Educational Resources Information Center

    Brennan, Mervin M.; And Others

    Presented is an overview of the 1979 Illinois Inventory of Educational Progress (IIEP) for eleventh-grade mathematics. The IIEP is a systematic effort by the Illinois State Board of Education to collect information on the educational achievement of Illinois students in certain areas and to make that information available to educational…

  17. Illinois Inventory of Educational Progress: 1979 Mathematics Results, 8th Grade.

    ERIC Educational Resources Information Center

    Brennan, Mervin M.; And Others

    Presented is an overview of the 1979 Illinois Inventory of Educational Progress (IIEP) for eighth-grade mathematics. The IIEP is a systematic effort by the Illinois State Board of Education to collect information on the educational achievement of Illinois students in certain areas and to make that information available to educational…

  18. African Americans and Mathematics Outcomes on National Assessment of Educational Progress: Parental and Individual Influences

    ERIC Educational Resources Information Center

    Noble, Richard, III; Morton, Crystal Hill

    2013-01-01

    This study investigated within group differences between African American female and male students who participated in the 2009 National Assessment of Educational Progress mathematics assessment. Using results from participating states, we compare average scale scores of African American students based on home regulatory environment and interest…

  19. Learning over Time: Learning Trajectories in Mathematics Education

    ERIC Educational Resources Information Center

    Maloney, Alan P., Ed.; Confrey, Jere, Ed.; Nguyen, Kenny H., Ed.

    2014-01-01

    The driving forces behind mathematics learning trajectories is the need to understand how children actually learn and make sense of mathematics--how they progress from prior knowledge, through intermediate understandings, to the mathematics target understandings--and how to use these insights to improve instruction and student learning. In this…

  20. Examining the Impact of Writing and Literacy Connections on Mathematics Learning

    ERIC Educational Resources Information Center

    Martin, Christie; Polly, Drew

    2016-01-01

    In this study, we examine how literacy connections with multiple step mathematics problems affected mathematics learning for 4th grade students. Three fourth grade teachers incorporated writing activities in their mathematics classroom for two weeks. The level of teacher scaffolding decreased as students progressed through the problems. The…

  1. General Mathematics; Part 1. Mathematics Curriculum Guide (Career Oriented).

    ERIC Educational Resources Information Center

    Nuschler, Alexandra; And Others

    The curriculum guide for secondary level, career-oriented General Mathematics Part 1, correlates performance objectives in basic mathematics with career-oriented concepts and activities. The material is designed to lead the student in a systematic development that provides for continuous progress. The guide is in outline format, providing a…

  2. A Core Curriculum: Making Mathematics Count for Everyone. Curriculum and Evaluation Standards for School Mathematics Addenda Series, Grades 9-12.

    ERIC Educational Resources Information Center

    Meiring, Steven P.; And Others

    The 1989 document, "Curriculum and Evaluation Standards for School Mathematics," provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. When completed, it is expected that the Addenda Series will…

  3. Examining Teachers' Understanding of the Mathematical Learning Progression through Vertical Articulation during Lesson Study

    ERIC Educational Resources Information Center

    Suh, Jennifer; Seshaiyer, Padmanabhan

    2015-01-01

    This study examines elementary- and middle-grade teachers' understanding of the mathematical learning progression as they participated in a 6-month professional learning project. Teachers participated in a professional development project that consisted of a 1-week summer content-focused institute with school-based follow-up Lesson Study cycles in…

  4. Results and Interpretations of the 1990 through 2000 Mathematics Assessment of the National Assessment of Educational Progress

    ERIC Educational Resources Information Center

    Kloosterman, Peter, Ed.; Lester, Frank K., Jr., Ed.

    2004-01-01

    Often referred to as "The Nation's Report Card," the mathematics assessments of the National Assessment of Educational Progress (NAEP) have come to be regarded by many policymakers as the primary yardstick by which to judge our schools' success in meeting national expectations. This monograph reports and interprets trends in NAEP…

  5. MATHEMATICS PANEL PROGRESS REPORT FOR PERIOD MARCH 1, 1957 TO AUGUST 31, 1958

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Householder, A.S.

    1959-03-24

    ORACLE operation and programming are summarized, and progress is indicated on various current problems. Work is reviewed on numerical analysis, programming, basic mathematics, biometrics and statistics, ORACLE operations and special codes, and training. Publications and lectures for the report period are listed. (For preceding period see ORNL-2283.) (W.D.M.)

  6. Add+VantageMR® Assessments: A Case Study of Teacher and Student Gains

    ERIC Educational Resources Information Center

    Briand, Cathy

    2013-01-01

    This case study analyzes the effect of the Add+VantageMRRTM (AVMR) program on a teacher's pedagogy and on her students' progress in mathematics. AVMR, a professional development program in early mathematics, trains teachers to assess their students' progress and apply those insights to their teaching pedagogy. The AVMR assessment uses a…

  7. Progress Report for March, 1964; Cambridge Conference on School Mathematics; Feasibility Study No. 33.

    ERIC Educational Resources Information Center

    Lomon, Earle

    This report gives information regarding the mathematical classroom activities for the first six grades at Estabrook School from March 1964 to June 1965. A brief progress report is given regarding the instruction provided to teach such concepts as addition and subtraction, symmetry transformations of squares, open sentences and graphing,…

  8. Sex Differences in Mathematics and Science Achievement: A Meta-Analysis of National Assessment of Educational Progress Assessments

    ERIC Educational Resources Information Center

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

    2015-01-01

    Gender gaps in the development of mathematical and scientific literacy have important implications for the general public's understanding of scientific issues and for the underrepresentation of women in science, technology, engineering, and math. We subjected data from the National Assessment of Educational Progress to a meta-analysis to examine…

  9. The 1991 International Assessment of Educational Progress in Mathematics and Sciences: The Gender Differences Perspective.

    ERIC Educational Resources Information Center

    Beller, Michal; Gafni, Naomi

    1996-01-01

    Analysis of data from the 1991 International Assessment of Educational Progress for 34 countries and 3,300 students ages 9 and 13 years in each indicates that gender differences in performance were generally small in mathematics, but were larger for science, with male scores higher in both age groups. (SLD)

  10. Access and Opportunities to Learn Are Not Accidents: Engineering Mathematical Progress in Your School

    ERIC Educational Resources Information Center

    Tate. William F., IV

    2005-01-01

    This monograph represents an effort to build upon and extend beyond the literature on school mathematics as discussed in "Mathematics and Science: Critical Filters for the Future." Three significant changes in the political and educational landscape since 1985 are discussed. The first change is the introduction of mathematics standards…

  11. Invasion emerges from cancer cell adaptation to competitive microenvironments: Quantitative predictions from multiscale mathematical models

    PubMed Central

    Rejniak, Katarzyna A.; Gerlee, Philip

    2013-01-01

    Summary In this review we summarize our recent efforts using mathematical modeling and computation to simulate cancer invasion, with a special emphasis on the tumor microenvironment. We consider cancer progression as a complex multiscale process and approach it with three single-cell based mathematical models that examine the interactions between tumor microenvironment and cancer cells at several scales. The models exploit distinct mathematical and computational techniques, yet they share core elements and can be compared and/or related to each other. The overall aim of using mathematical models is to uncover the fundamental mechanisms that lend cancer progression its direction towards invasion and metastasis. The models effectively simulate various modes of cancer cell adaptation to the microenvironment in a growing tumor. All three point to a general mechanism underlying cancer invasion: competition for adaptation between distinct cancer cell phenotypes, driven by a tumor microenvironment with scarce resources. These theoretical predictions pose an intriguing experimental challenge: test the hypothesis that invasion is an emergent property of cancer cell populations adapting to selective microenvironment pressure, rather than culmination of cancer progression producing cells with the “invasive phenotype”. In broader terms, we propose that fundamental insights into cancer can be achieved by experimentation interacting with theoretical frameworks provided by computational and mathematical modeling. PMID:18524624

  12. Service-Learning and Mathematics

    ERIC Educational Resources Information Center

    Roemer, Cynthia Anne

    2009-01-01

    Contemporary educational theory has given increased attention to service-learning as valuable pedagogy. Ever-changing technology progress and applications demand a quantitatively literate population, supporting the need for experiential activities in mathematics. This study addresses service-learning pedagogy in mathematics through a study of the…

  13. Design Research on Mathematics Education: Investigating the Progress of Indonesian Fifth Grade Students' Learning on Multiplication of Fractions with Natural Numbers

    ERIC Educational Resources Information Center

    Shanty, Nenden Octavarulia; Hartono, Yusuf; Putri, Ratu Ilma Indra; de Haan, Dede

    2011-01-01

    This study aimed at investigating the progress of students' learning on multiplication fractions with natural numbers through the five activity levels based on Realistic Mathematics Education (RME) approach proposed by Streefland. Design research was chosen to achieve this research goal. In design research, the Hypothetical Learning Trajectory…

  14. Ability Grouping in English Secondary School: Effects on Attainment in English, Mathematics, and Science.

    ERIC Educational Resources Information Center

    Ireson, Judith; Hallam, Susan; Hack, Sarah; Clark, Helen; Plewis, Ian

    2002-01-01

    Studied the impact of ability grouping on attainment in a cohort of year-9 students in 45 mixed secondary schools in England representing a variety of grouping practices. In mathematics, students at higher levels by year 6 make more progress in sets, but those in lower levels make more progress in mixed ability classes. Discusses educational…

  15. School Effects on Educational Achievement in Mathematics and Science: 1985-86. National Assessment of Educational Progress. Research and Development Report.

    ERIC Educational Resources Information Center

    Arnold, Carolyn L.; Kaufman, Phillip D.

    This report examines the effects of both student and school characteristics on mathematics and science achievement levels in the third, seventh, and eleventh grades using data from the 1985-86 National Assessment of Educational Progress (NAEP). Analyses feature hierarchical linear models (HLM), a regression-like statistical technique that…

  16. Equity in Reform: Case Studies of Five Middle Schools Involved in Systemic Reform

    NASA Astrophysics Data System (ADS)

    Kahle, Jane Butler; Kelly, Mary Kay

    Science and mathematics education reform documents of the last decade have called for improved teaching and learning for all children. To overcome inequalities, a systemic approach to reform has been adopted. The case studies synthesized in this analysis arc part of a larger effort to reform science and mathematics education systemically and assess the progress of systemic reform. The purpose of this study was to assess the progress toward achieving equitable systemic reform in five middle schools. A multiple-case study design was used, and qualitative data were collected. Kahle's Equity Metric was used to analyze the schools' progress toward achieving equitable systemic reform of mathematics and science. Two results occurred: Various equity issues were identified in the five case studies, and the metric proved efficacious in identifying barriers to or facilitators of equitable reform in the schools. Overall, the study illustrates how schools might assess their commitments to providing high-quality science and mathematics education to all students.

  17. Notes for Applied Mathematics in Trigonometry and Earth Geometry/Navigation

    ERIC Educational Resources Information Center

    Faulkner, Peter

    2004-01-01

    As time has progressed, the role of applied mathematics has become increasingly important. Indeed there are now more students enrolled in applied mathematics courses in senior high schools and colleges than in pure mathematics. Such courses become more relevant both to the student and to future employers, if the same constants and equations that…

  18. 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…

  19. The Academic and the Everyday in Mathematicians' Talk: The Case of the Hyper-Bagel

    ERIC Educational Resources Information Center

    Barwell, Richard

    2013-01-01

    Mathematics curricula increasingly emphasise the importance of mathematical communication. Students are seen as progressing from the use of a more informal or everyday form of communication to a more mathematical approach. There have, however, been very few studies of how mathematicians actually talk about mathematics. This paper reports analysis…

  20. Data Analysis and Statistics across the Curriculum. Curriculum and Evaluation Standards for School Mathematics Addenda Series. Grades 9-12.

    ERIC Educational Resources Information Center

    Burrill, Gail; And Others

    The 1989 document, "Curriculum and Evaluation Standards for School Mathematics" (the "Standards"), provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. When completed, it is expected…

  1. Editorial.

    ERIC Educational Resources Information Center

    Bybee, Rodger W.; Ferrini-Mundy, Joan

    1997-01-01

    Recalls the launch of Sputnik in the history of science and mathematics education. Discusses whether anything has changed or any progress in science and mathematics education has been made. (Author/ASK)

  2. Monitoring Progress: How the 2012 National Survey of Science and Mathematics Education Can Inform a National K-12 STEM Education Indicator System

    ERIC Educational Resources Information Center

    Fulkerson, William O.; Banilower, Eric R.

    2014-01-01

    "Monitoring Progress Toward Successful K-12 STEM Education: A Nation Advancing?" (National Research Council, 2013) describes a set of 14 indicators for assessing and tracking the health of pre-college STEM education in the United States. This 2012 National Survey of Science and Mathematics Education (NSSME), is the fifth in a series of…

  3. Defining as a Mathematical Activity: A Framework for Characterizing Progress from Informal to More Formal Ways of Reasoning

    ERIC Educational Resources Information Center

    Zandieh, Michelle; Rasmussen, Chris

    2010-01-01

    The purpose of this paper is to further the notion of defining as a mathematical activity by elaborating a framework that structures the role of defining in student progress from informal to more formal ways of reasoning. The framework is the result of a retrospective account of a significant learning experience that occurred in an undergraduate…

  4. Expanding your horizons in science and mathematics

    NASA Technical Reports Server (NTRS)

    Palmer, Cynthia E. A.

    1995-01-01

    The purpose of the 'Expanding Your Horizons in Science and Mathematics' program is to interest young women in grades six through twelve in a variety of careers where mathematics and science are important. Progress in encouraging young women to take courses in mathematics, science, and technological subjects is discussed. Also included are adult, student, and organizational information packets used for 'Expanding Your Horizons' conferences.

  5. Gender Difference in Mathematics Achievement and Its Relation with Reading Comprehension of Children at Upper Primary Stage

    ERIC Educational Resources Information Center

    Anjum, Sabahat

    2015-01-01

    The progress and prosperity of a country depends on the quality of mathematics taught in its school system. For people to survive and improve the quality of life, basic learning skills, reading, writing, arithmetic and life skills, are necessary and mathematics education is intended to develop these skills. The importance of mathematics transcends…

  6. Las normas de desempeno matematico desde el preescolar hasta el segundo grado (Mathematics Standards for Pre-Kindergarten through Grade 2). ERIC Digest.

    ERIC Educational Resources Information Center

    Richardson, Kathy

    The National Council of Teachers of Mathematics recently published "Principles and Standards for School Mathematics." For the first time, these new standards include pre-kindergarten standards, while outlining the mathematics that children should learn as they progress through school. The standards present a broad view of what…

  7. How Readability Factors Are Differentially Associated with Performance for Students of Different Backgrounds When Solving Mathematics Word Problems

    ERIC Educational Resources Information Center

    Walkington, Candace; Clinton, Virginia; Shivraj, Pooja

    2018-01-01

    The link between reading and mathematics achievement is well known, and an important question is whether readability factors in mathematics problems are differentially impacting student groups. Using 20 years of data from the National Assessment of Educational Progress and the Trends in International Mathematics and Science Study, we examine how…

  8. The Preschool Rating Instrument for Science and Mathematics (PRISM)

    ERIC Educational Resources Information Center

    Brenneman, Kimberly; Stevenson-Garcia, Judi; Jung, Kwanghee; Frede, Ellen

    2011-01-01

    Until recently, few valid and reliable assessments were available to measure young children's mathematics and science learning in a "comprehensive" way. Now, a number of mathematics assessments have been developed and subjected to testing (Klein, Starkey, & Wakeley, 2000; Ginsburg, 2008; Clements & Sarama, 2008), and progress has…

  9. Can Group Discussions and Individualized Assignments Help More Students Succeed in Developmental Mathematics?

    ERIC Educational Resources Information Center

    Jaafar, Reem

    2015-01-01

    Students taking developmental mathematics courses resist attempting word problems when they are presented to them. Although word problems can help students contextualize learning, develop better understanding of the concepts and apply world knowledge, they constitute an impediment to students' progress in developmental mathematics courses. A…

  10. Research in progress in applied mathematics, numerical analysis, and computer science

    NASA Technical Reports Server (NTRS)

    1990-01-01

    Research conducted at the Institute in Science and Engineering in applied mathematics, numerical analysis, and computer science is summarized. The Institute conducts unclassified basic research in applied mathematics in order to extend and improve problem solving capabilities in science and engineering, particularly in aeronautics and space.

  11. 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…

  12. Mathematical Working Spaces through Networking Lens

    ERIC Educational Resources Information Center

    Artigue, Michèle

    2016-01-01

    This issue of "ZDM" collects research works sharing a common reference to the theoretical framework of Mathematical Working Spaces (MWS), a construction which emerged about one decade ago, and has progressively found its way in the mathematics education community, thanks to the collaborative work of an international group of researchers.…

  13. Abstract Algebra for Algebra Teaching: Influencing School Mathematics Instruction

    ERIC Educational Resources Information Center

    Wasserman, Nicholas H.

    2016-01-01

    This article explores the potential for aspects of abstract algebra to be influential for the teaching of school algebra (and early algebra). Using national standards for analysis, four primary areas common in school mathematics--and their progression across elementary, middle, and secondary mathematics--where teaching may be transformed by…

  14. Unpacking Personal Identities for Teaching Mathematics within the Context of Prospective Teacher Education

    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…

  15. Expanding the "CBAL"™ Mathematics Assessments to Elementary Grades: The Development of a Competency Model and a Rational Number Learning Progression. Research Report. ETS RR-14-08

    ERIC Educational Resources Information Center

    Arieli-Attali, Meirav; Cayton-Hodges, Gabrielle

    2014-01-01

    Prior work on the "CBAL"™ mathematics competency model resulted in an initial competency model for middle school grades with several learning progressions (LPs) that elaborate central ideas in the competency model and provide a basis for connecting summative and formative assessment. In the current project, we created a competency model…

  16. Effects of Single-Sex versus Co-Educational Classes and Schools on Gender Differences in Progress in Language and Mathematics Achievement

    ERIC Educational Resources Information Center

    Van de gaer, Eva; Pustjens, Heidi; Van Damme, Jan; De Munter, Agnes

    2004-01-01

    In this study, the effects of single-sex versus co-educational classes and schools on the progress in language and mathematics of boys and girls at the end of the second year of secondary education are investigated. Data from the Longitudinaal Onderzoek Secundair Onderwijs project are used. Multilevel analyses were carried out on a sample of…

  17. A Study of the Alignment between the NAEP Mathematics Framework and the Common Core State Standards for Mathematics (CCSS-M)

    ERIC Educational Resources Information Center

    Hughes, Gerunda B.; Daro, Phil; Holtzman, Deborah; Middleton, Kyndra

    2013-01-01

    Introduction: For decades, prior to the inception of the Common Core State Standards (CCSS), the National Assessment of Educational Progress (NAEP) was the only vehicle through which states could assess the progress of their students using a common metric. Now, 45 states, 4 U.S. territories, and the District of Columbia have adopted the CCSS to…

  18. Quantitative imaging with Fucci and mathematics to uncover temporal dynamics of cell cycle progression.

    PubMed

    Saitou, Takashi; Imamura, Takeshi

    2016-01-01

    Cell cycle progression is strictly coordinated to ensure proper tissue growth, development, and regeneration of multicellular organisms. Spatiotemporal visualization of cell cycle phases directly helps us to obtain a deeper understanding of controlled, multicellular, cell cycle progression. The fluorescent ubiquitination-based cell cycle indicator (Fucci) system allows us to monitor, in living cells, the G1 and the S/G2/M phases of the cell cycle in red and green fluorescent colors, respectively. Since the discovery of Fucci technology, it has found numerous applications in the characterization of the timing of cell cycle phase transitions under diverse conditions and various biological processes. However, due to the complexity of cell cycle dynamics, understanding of specific patterns of cell cycle progression is still far from complete. In order to tackle this issue, quantitative approaches combined with mathematical modeling seem to be essential. Here, we review several studies that attempted to integrate Fucci technology and mathematical models to obtain quantitative information regarding cell cycle regulatory patterns. Focusing on the technological development of utilizing mathematics to retrieve meaningful information from the Fucci producing data, we discuss how the combined methods advance a quantitative understanding of cell cycle regulation. © 2015 Japanese Society of Developmental Biologists.

  19. The Nation's Report Card[TM]: Mathematics 2005: Performance in Puerto Rico. Focus on the Content Areas. NCES 2007-460

    ERIC Educational Resources Information Center

    Dion, Gloria S.; Haberstroh, Jeff G.; Dresher, Amy R.

    2007-01-01

    This report focuses on the performance of fourth-and eighth-grade students in Puerto Rico in various mathematics content areas on the 2005 National Assessment of Educational Progress (NAEP) in mathematics. The NAEP mathematics assessment was administered to public school students in Puerto Rico for the first time in 2003. Although NAEP had…

  20. Design Document for 12th Grade NAEP Preparedness Research Judgmental Standard Setting Studies: Setting Standards on the National Assessment of Educational Progress in Reading and Mathematics for 12th Grade Preparedness

    ERIC Educational Resources Information Center

    National Assessment Governing Board, 2010

    2010-01-01

    The National Assessment Governing Board adopted a Program of Preparedness Research in March 2009. Several categories of research studies were recommended to produce results for reporting 12th grade preparedness for the 2009 grade 12 National Assessment of Educational Progress (NAEP) in reading and mathematics. The categories included content…

  1. Achievement Gaps: How Hispanic and White Students in Public Schools Perform in Mathematics and Reading on the National Assessment of Educational Progress. Highlights. NCES 2011-485

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2011

    2011-01-01

    This report provides a detailed portrait of Hispanic and White academic achievement gaps and how students' performance has changed over time at both the national and state levels. The report presents achievement gaps using reading and mathematics assessment data from the National Assessment of Educational Progress (NAEP) for the 4th- and 8th-grade…

  2. Statistical Mechanics of Disordered Systems - Series: Cambridge Series in Statistical and Probabilistic Mathematics (No. 18)

    NASA Astrophysics Data System (ADS)

    Bovier, Anton

    2006-06-01

    Our mathematical understanding of the statistical mechanics of disordered systems is going through a period of stunning progress. This self-contained book is a graduate-level introduction for mathematicians and for physicists interested in the mathematical foundations of the field, and can be used as a textbook for a two-semester course on mathematical statistical mechanics. It assumes only basic knowledge of classical physics and, on the mathematics side, a good working knowledge of graduate-level probability theory. The book starts with a concise introduction to statistical mechanics, proceeds to disordered lattice spin systems, and concludes with a presentation of the latest developments in the mathematical understanding of mean-field spin glass models. In particular, recent progress towards a rigorous understanding of the replica symmetry-breaking solutions of the Sherrington-Kirkpatrick spin glass models, due to Guerra, Aizenman-Sims-Starr and Talagrand, is reviewed in some detail. Comprehensive introduction to an active and fascinating area of research Clear exposition that builds to the state of the art in the mathematics of spin glasses Written by a well-known and active researcher in the field

  3. Taking the Guesswork out of Locating Evidence-Based Mathematics Practices for Diverse Learners

    ERIC Educational Resources Information Center

    Hughes, Elizabeth M.; Powell, Sarah R.; Lembke, Erica S.; Riley-Tillman, T. Chris

    2016-01-01

    Approximately 5 to 7% of school-age students have a learning disability related to mathematics (Shalev, Auerbach, Manor, & Gross-Tsur, 2000), but the percentage of students who experience mathematics difficulty is much greater. For example, results from the 2015 National Assessment of Educational Progress (NAEP; National Center for Education…

  4. Elementary Teachers' Understanding and Use of Cognition Based Assessment Learning Progression Materials for Multiplication and Division

    ERIC Educational Resources Information Center

    Harrison, Ryan Matthew

    2012-01-01

    Teachers' knowledge of mathematical content and children's mathematical thinking have been identified as critical elements related to teachers' ability to effectively teach mathematics (Fennema & Franke, 1992; Kazemi & Franke, 2001; Ma, 1999; Peterson, Carpenter, & Fennema, 1989). Literature on teachers' knowledge…

  5. Mild Disability Students and Everyday Mathematics: Serving the Needs of This Population

    ERIC Educational Resources Information Center

    Brehe Pixler, Priscilla

    2009-01-01

    No Child Left Behind requires school districts to demonstrate adequate yearly progress in mathematics for all students, including the sub-population of disabled students. Given that more than 200 Ohio school districts have implemented Everyday Mathematics (EM) to achieve this mandate, districts need to know if this standards-based program meets…

  6. Calculator Use on NAEP: A Look at Fourth- and Eighth-Grade Mathematics Achievement

    ERIC Educational Resources Information Center

    Walcott, Crystal; Stickles, Paula R.

    2012-01-01

    This article summarizes research conducted on calculator block items from the 2007 fourth- and eighth-grade National Assessment of Educational Progress Main Mathematics. Calculator items from the assessment were categorized into two categories: problem-solving items and noncomputational mathematics concept items. A calculator has the potential to…

  7. Identification of Student- and Teacher-Level Variables in Modeling Variation of Mathematics Achievement Data

    ERIC Educational Resources Information Center

    Tarr, James E.; Ross, Daniel J.; McNaught, Melissa D.; Chavez, Oscar; Grouws, Douglas A.; Reys, Robert E.; Sears, Ruthmae; Taylan, R. Didem

    2010-01-01

    The Comparing Options in Secondary Mathematics: Investigating Curriculum (COSMIC) project is a longitudinal study of student learning from two types of mathematics curricula: integrated and subject-specific. Previous large-scale research studies such as the National Assessment of Educational Progress (NAEP) indicate that numerous variables are…

  8. GENERAL REPORT OF MATHEMATICS CONFERENCE AND TWO SPECIFIC REPORTS. (TITLE SUPPLIED).

    ERIC Educational Resources Information Center

    Educational Services, Inc., Watertown, MA.

    THE FIRST PAPER, "REPORT OF MATHEMATICS CONFERENCE," IS A SUMMARY OF DISCUSSIONS BY 29 PARTICIPANTS IN A CONFERENCE ON CURRENT PROBLEMS IN MATHEMATICS EDUCATION RESEARCH. REPORTED ARE (1) RECENT PROGRESS, PROBLEMS, AND PLANS OF CURRICULUM DEVELOPMENT GROUPS, (2) GENERAL FORMULATION OF CURRICULUM AND METHODS, (3) TEACHER TRAINING, (4)…

  9. The Efficacy of Sheltered Instruction Observation Protocol (SIOP) in Mathematics Instruction on English Language Learner Students

    ERIC Educational Resources Information Center

    Vidot, Jose L.

    2011-01-01

    Studies by the National Association for Educational Progress found that English Language Learner (ELL) students perform poorly compared to other students on standardized mathematics exams. The research problem addressed how Sheltered Instruction Observation Protocol (SIOP) affected the instructional practices of high school mathematics teachers.…

  10. 34 CFR 200.20 - Making adequate yearly progress.

    Code of Federal Regulations, 2010 CFR

    2010-07-01

    ... paragraph (a) or (b) of this section separately in reading/language arts and in mathematics. (a)(1) A school... reading/language arts and mathematics in grades 3 through 8 and once in grades 10 through 12 required... the reading/language arts and mathematics assessments in the three grade spans required under § 200.5...

  11. A Learning Progressions Approach to Early Algebra Research and Practice

    ERIC Educational Resources Information Center

    Fonger, Nicole L.; Stephens, Ana; Blanton, Maria; Knuth, Eric

    2015-01-01

    We detail a learning progressions approach to early algebra research and how existing work around learning progressions and trajectories in mathematics and science education has informed our development of a four-component theoretical framework consisting of: a curricular progression of learning goals across big algebraic ideas; an instructional…

  12. What Is Scientifically-Based Research on Progress Monitoring?

    ERIC Educational Resources Information Center

    Fuchs, Lynn S.; Fuchs, Douglas

    2001-01-01

    When teachers use systematic progress monitoring to track their students progress in reading, mathematics, or spelling, they are better able to identify students in need of additional or different forms of instruction, they design stronger instructional programs, and their students achieve better. This document first describes progress monitoring…

  13. Microcomputer-Assisted Mathematics: From Simple Interest to e.

    ERIC Educational Resources Information Center

    Kimberling, Clark

    1985-01-01

    The progression from simple interest to compound interest leads naturally and quickly to the number e, involving mathematical discovery learning through writing programs. Several programs are given, with suggestions for a teaching sequence. (MNS)

  14. Sam's Progress with Learning Mathematics

    ERIC Educational Resources Information Center

    Haslam, Lynne

    2007-01-01

    Sam is 18 years old and has Down syndrome. He achieved a grade in the standard assessment of mathematics (GCSE) at 16 years of age. This paper describes the part played in his success in school by the Kumon method of teaching mathematics, identifies the benefits of the small steps and lots of practice built in to the method and illustrates the…

  15. Middle School Mathematics Teachers' Perceptions of Differentiated Instruction for English Language Learners

    ERIC Educational Resources Information Center

    Murray, Vicki

    2013-01-01

    English language learner (ELL) mathematics students at a California middle school did not meet Adequate Yearly Progress (AYP) toward state standards in 2010. The purpose of this project study was to examine 6th and 7th grade mathematics teachers' perceptions regarding differentiated instruction for ELL students' specific academic needs and to…

  16. Effectiveness of a Language Based Program in School Mathematics on Students' Understanding of Statistics

    ERIC Educational Resources Information Center

    Wekesa, Duncan Wasike

    2006-01-01

    Mathematical knowledge and understanding is important not only for scientific progress and development but also for its day-to-day application in social sciences and arts, government, business and management studies and household chores. But the general performance in school mathematics in Kenya has been poor over the years. There is evidence that…

  17. The Influence of Reading Literacy on Mathematics and Science Achievement

    ERIC Educational Resources Information Center

    Caponera, Elisa; Sestito, Paolo; Russo, Paolo M.

    2016-01-01

    The aim of this study was to evaluate the influence of students' reading literacy, measured by the PIRLS (Progress in International Reading Literacy Study) test, on their performance in the TIMSS (Trends in International Mathematics and Science Study) mathematics and science tests. The data on 4,125 Italian students from 199 schools were analyzed:…

  18. The Meaning of Mathematics Instruction in Multilingual Classrooms: Analyzing the Importance of Responsibility for Learning

    ERIC Educational Resources Information Center

    Hansson, Ase

    2012-01-01

    In the multilingual mathematics classroom, the assignment for teachers to scaffold students by means of instruction and guidance in order to facilitate language progress and learning for all is often emphasized. In Sweden, where mathematics education is characterized by a low level of teacher responsibility for students' performance, this…

  19. Reading for Pleasure and Progress in Vocabulary and Mathematics

    ERIC Educational Resources Information Center

    Sullivan, Alice; Brown, Matt

    2015-01-01

    This paper examines inequalities in attainment in vocabulary and mathematics at age 16 for a nationally representative cohort of people born in Britain in 1970 (the 1970 British Cohort Study). Our analytical sample is n = 3,583 cohort members who completed vocabulary and mathematics tests at age 16. We explore whether inequalities as a result of…

  20. The Nation's Report Card Mathematics 2013 State Snapshot Report. Iowa. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2014

    2014-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2013 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for Iowa's 2013 student achievement in mathematics. In…

  1. The Nation's Report Card Mathematics 2013 State Snapshot Report. Florida. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2014

    2014-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2013 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for Florida's 2013 student achievement in mathematics.…

  2. The Nation's Report Card Mathematics 2013 State Snapshot Report. Arkansas. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2014

    2014-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2013 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for Arkansas' 2013 student achievement in mathematics.…

  3. The Nation's Report Card Mathematics 2013 State Snapshot Report. Idaho. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2014

    2014-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2013 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for Idaho's 2013 student achievement in mathematics.…

  4. The Nation's Report Card Mathematics 2009 State Snapshot Report. Idaho. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2010

    2010-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2009 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for Idaho's student achievement in mathematics. In…

  5. The Nation's Report Card Mathematics 2009 State Snapshot Report. Iowa. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2010

    2010-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2009 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for Iowa's student achievement in mathematics. In…

  6. The Nation's Report Card Mathematics 2009 State Snapshot Report. South Dakota. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2010

    2010-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2009 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This paper presents the results for South Dakota's student achievement in mathematics.…

  7. The Nation's Report Card Mathematics 2009 State Snapshot Report. Connecticut. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2010

    2010-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2009 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for Connecticut's student achievement in mathematics.…

  8. The Nation's Report Card Mathematics 2009 State Snapshot Report. New Jersey. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2010

    2010-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2009 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for New Jersey's student achievement in mathematics.…

  9. The Nation's Report Card Mathematics 2009 State Snapshot Report. Illinois. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2010

    2010-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2009 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for Illinois' student achievement in mathematics. In…

  10. The Nation's Report Card Mathematics 2009 State Snapshot Report. Florida. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2010

    2010-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2009 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for Florida's student achievement in mathematics. In…

  11. The Nation's Report Card Mathematics 2009 State Snapshot Report. Arkansas. Grade 12 Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2010

    2010-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2009 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for Arkansas' student achievement in mathematics. In…

  12. Doing Mathematics in the Workplace: A Brief Review of Selected Literature

    ERIC Educational Resources Information Center

    FitzSimons, Gail E.

    2013-01-01

    The aim of this review of selected literature on research into mathematics in the workplace is to offer researchers from the field of adult mathematics education an opportunity to become more familiar with this specialised area. In recent years much progress has been made, building on earlier research, but with increasingly nuanced understandings.…

  13. The Creativity-in-Progress Rubric on Proving: Two Teaching Implementations and Students' Reported Usage

    ERIC Educational Resources Information Center

    El Turkey, Houssein; Tang, Gail; Savic, Milos; Karakok, Gulden; Cilli-Turner, Emily; Plaxco, David

    2018-01-01

    A growing body of mathematics education research points to the importance of fostering students' mathematical creativity in undergraduate mathematics courses. However, there are not many research-based instructional practices that aim to accomplish this task. Our research group has been working to address this issue and created a formative…

  14. Predicting disease progression from short biomarker series using expert advice algorithm

    NASA Astrophysics Data System (ADS)

    Morino, Kai; Hirata, Yoshito; Tomioka, Ryota; Kashima, Hisashi; Yamanishi, Kenji; Hayashi, Norihiro; Egawa, Shin; Aihara, Kazuyuki

    2015-05-01

    Well-trained clinicians may be able to provide diagnosis and prognosis from very short biomarker series using information and experience gained from previous patients. Although mathematical methods can potentially help clinicians to predict the progression of diseases, there is no method so far that estimates the patient state from very short time-series of a biomarker for making diagnosis and/or prognosis by employing the information of previous patients. Here, we propose a mathematical framework for integrating other patients' datasets to infer and predict the state of the disease in the current patient based on their short history. We extend a machine-learning framework of ``prediction with expert advice'' to deal with unstable dynamics. We construct this mathematical framework by combining expert advice with a mathematical model of prostate cancer. Our model predicted well the individual biomarker series of patients with prostate cancer that are used as clinical samples.

  15. Predicting disease progression from short biomarker series using expert advice algorithm.

    PubMed

    Morino, Kai; Hirata, Yoshito; Tomioka, Ryota; Kashima, Hisashi; Yamanishi, Kenji; Hayashi, Norihiro; Egawa, Shin; Aihara, Kazuyuki

    2015-05-20

    Well-trained clinicians may be able to provide diagnosis and prognosis from very short biomarker series using information and experience gained from previous patients. Although mathematical methods can potentially help clinicians to predict the progression of diseases, there is no method so far that estimates the patient state from very short time-series of a biomarker for making diagnosis and/or prognosis by employing the information of previous patients. Here, we propose a mathematical framework for integrating other patients' datasets to infer and predict the state of the disease in the current patient based on their short history. We extend a machine-learning framework of "prediction with expert advice" to deal with unstable dynamics. We construct this mathematical framework by combining expert advice with a mathematical model of prostate cancer. Our model predicted well the individual biomarker series of patients with prostate cancer that are used as clinical samples.

  16. The Nation's Report Card Mathematics 2013 State Snapshot Report. Oregon. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth-and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and for…

  17. The Nation's Report Card Mathematics 2013 State Snapshot Report. Minnesota. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth-and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and for…

  18. The Nation's Report Card [TM]: Mathematics 2003 and 2005: Performance in Puerto Rico. Highlights. NCES 2007--459

    ERIC Educational Resources Information Center

    Baxter, G.P.; Bleeker, M.M.; Waits, T.L.; Salvucci, S.

    2007-01-01

    This report presents highlights of the results for fourth-and eighth-grade students in Puerto Rico for the 2003 and 2005 National Assessment of Educational Progress (NAEP) in mathematics. The NAEP mathematics assessment was administered to public school students in Puerto Rico for the first time in 2003. Although NAEP had previously administered…

  19. A Closer Look at Gender in NAEP Mathematics Achievement and Affect Data: Intersections with Achievement, Race/Ethnicity, and Socioeconomic Status

    ERIC Educational Resources Information Center

    McGraw, Rebecca; Lubienski, Sarah Theule; Strutchens, Marilyn E.

    2006-01-01

    In this article we describe gender gaps in mathematics achievement and attitude as measured by the U.S. National Assessment of Educational Progress (NAEP) from 1990 to 2003. Analyzing relationships among achievement and mathematical content, student proficiency and percentile levels, race, and socioeconomic status (SES), we found that gender gaps…

  20. Differentiating Instruction through Multiple Intelligences in a Middle School Mathematics Classroom

    ERIC Educational Resources Information Center

    Jones, Marcella

    2017-01-01

    Eighth grade students at a middle school in a southern state were required a mathematics pass rate of 67.6% to meet annual yearly progress (AYP). Black and Hispanic students performed below the required pass rate on state assessments; thus, the school did not make AYP from 2007-2010. In an attempt to address low test scores in mathematics, the…

  1. Affordance Access Matters: Preschool Children's Learning Progressions While Interacting with Touch-Screen Mathematics Apps

    ERIC Educational Resources Information Center

    Bullock, Emma P.; Shumway, Jessica F.; Watts, Christina M.; Moyer-Packenham, Patricia S.

    2017-01-01

    The purpose of this study was to contribute to the research on mathematics app use by very young children, and specifically mathematics apps for touch-screen mobile devices that contain virtual manipulatives. The study used a convergent parallel mixed methods design, in which quantitative and qualitative data were collected in parallel, analyzed…

  2. The Nation's Report Card Mathematics 2013 State Snapshot Report. Idaho. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth-and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and for…

  3. The Nation's Report Card Mathematics 2013 State Snapshot Report. New Hampshire. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth-and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and for…

  4. Mathematics for Water and Wastewater Treatment Plant Operators. Water and Wastewater Training Program.

    ERIC Educational Resources Information Center

    South Dakota Dept. of Environmental Protection, Pierre.

    This booklet is intended to aid the prospective waste treatment plant operator or drinking water plant operator in learning to solve mathematical problems, which is necessary for Class I certification. It deals with the basic mathematics which a Class I operator may require in accomplishing day-to-day tasks. The book also progresses into problems…

  5. Catch up Numeracy: A Targeted Intervention for Children Who Are Low-Attaining in Mathematics

    ERIC Educational Resources Information Center

    Holmes, Wayne; Dowker, Ann

    2013-01-01

    Many children who would not be identified as having special educational needs are low-attaining in mathematics, which often has a severe impact on their progress at school and their successes in later life. This paper describes Catch Up Numeracy, a non-intensive targeted intervention for children who are low-attaining in mathematics, which is…

  6. The Nation's Report Card Mathematics 2013 State Snapshot Report. Hawaii. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth-and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and for…

  7. The Nation's Report Card Mathematics 2013 State Snapshot Report. Wisconsin. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth-and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and for…

  8. TIMSS and PIRLS 2011: Relationships among Reading, Mathematics, and Science Achievement at the Fourth Grade--Implications for Early Learning

    ERIC Educational Resources Information Center

    Martin, Michael O., Ed.; Mullis, Ina V. S., Ed.

    2013-01-01

    TIMSS (Trends in International Mathematics and Science Study) is an international assessment of mathematics and science at the fourth and eighth grades that has been conducted every four years since 1995, with the most recent assessment in 2011. PIRLS (Progress in International Reading Literacy Study) is an international assessment of reading…

  9. The Nation's Report Card Mathematics 2013 State Snapshot Report. DoDEA. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth-and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and for…

  10. The Nation's Report Card Mathematics 2013 State Snapshot Report. Oregon. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  11. The Nation's Report Card Mathematics 2013 State Snapshot Report. Iowa. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  12. The Nation's Report Card Mathematics 2013 State Snapshot Report. Arkansas. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  13. The Nation's Report Card Mathematics 2013 State Snapshot Report. Colorado. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth-and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and for…

  14. The Nation's Report Card Mathematics 2013 State Snapshot Report. Michigan. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  15. The Nation's Report Card Mathematics 2013 State Snapshot Report. Virginia. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  16. The Nation's Report Card Mathematics 2013 State Snapshot Report. New York. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  17. The Nation's Report Card Mathematics 2013 State Snapshot Report. DoDEA. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  18. The Nation's Report Card Mathematics 2013 State Snapshot Report. Nevada. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  19. The Nation's Report Card Mathematics 2013 State Snapshot Report. Illinois. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  20. The Nation's Report Card Mathematics 2013 State Snapshot Report. Arizona. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  1. The Nation's Report Card Mathematics 2013 State Snapshot Report. New Hampshire. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  2. The Nation's Report Card Mathematics 2013 State Snapshot Report. Arizona. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  3. The Nation's Report Card Mathematics 2013 State Snapshot Report. Kansas. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  4. The Nation's Report Card Mathematics 2013 State Snapshot Report. Mississippi. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  5. The Nation's Report Card Mathematics 2013 State Snapshot Report. Alaska. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  6. The Nation's Report Card Mathematics 2013 State Snapshot Report. Maryland. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  7. The Nation's Report Card Mathematics 2013 State Snapshot Report. Minnesota. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  8. The Nation's Report Card Mathematics 2013 State Snapshot Report. Utah. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  9. The Nation's Report Card Mathematics 2013 State Snapshot Report. New Jersey. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  10. The Nation's Report Card Mathematics 2013 State Snapshot Report. Hawaii. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  11. The Nation's Report Card Mathematics 2013 State Snapshot Report. Florida. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  12. The Nation's Report Card Mathematics 2013 State Snapshot Report. Texas. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  13. The Nation's Report Card Mathematics 2013 State Snapshot Report. California. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth-and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and for…

  14. The Nation's Report Card Mathematics 2013 State Snapshot Report. Vermont. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  15. The Nation's Report Card Mathematics 2013 State Snapshot Report. West Virginia. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  16. The Nation's Report Card Mathematics 2013 State Snapshot Report. North Dakota. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  17. The Nation's Report Card Mathematics 2013 State Snapshot Report. Louisiana. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  18. The Nation's Report Card Mathematics 2013 State Snapshot Report. Rhode Island. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  19. The Nation's Report Card Mathematics 2013 State Snapshot Report. Oklahoma. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  20. The Nation's Report Card Mathematics 2013 State Snapshot Report. Montana. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  1. The Nation's Report Card Mathematics 2013 State Snapshot Report. Wisconsin. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  2. The Nation's Report Card Mathematics 2013 State Snapshot Report. Colorado. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  3. The Nation's Report Card Mathematics 2013 State Snapshot Report. New Mexico. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  4. The Nation's Report Card Mathematics 2013 State Snapshot Report. North Carolina. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  5. The Nation's Report Card Mathematics 2013 State Snapshot Report. Delaware. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  6. The Nation's Report Card Mathematics 2013 State Snapshot Report. Kentucky. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  7. The Nation's Report Card Mathematics 2013 State Snapshot Report. Nebraska. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  8. The Nation's Report Card Mathematics 2013 State Snapshot Report. Pennsylvania. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  9. The Nation's Report Card Mathematics 2013 State Snapshot Report. South Carolina. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  10. The Nation's Report Card Mathematics 2013 State Snapshot Report. Wyoming. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  11. The Nation's Report Card Mathematics 2013 State Snapshot Report. Missouri. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  12. The Nation's Report Card Mathematics 2013 State Snapshot Report. District of Columbia. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  13. The Nation's Report Card Mathematics 2013 State Snapshot Report. Maine. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  14. The Nation's Report Card Mathematics 2013 State Snapshot Report. South Dakota. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  15. The Nation's Report Card Mathematics 2013 State Snapshot Report. Ohio. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  16. The Nation's Report Card Mathematics 2013 State Snapshot Report. Indiana. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  17. The Nation's Report Card Mathematics 2013 State Snapshot Report. Tennessee. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  18. The Nation's Report Card Mathematics 2013 State Snapshot Report. Alaska. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth-and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and for…

  19. The Nation's Report Card Mathematics 2013 State Snapshot Report. Washington. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  20. The Nation's Report Card Mathematics 2013 State Snapshot Report. Idaho. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  1. The Nation's Report Card Mathematics 2013 State Snapshot Report. Massachusetts. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  2. The Nation's Report Card Mathematics 2013 State Snapshot Report. Connecticut. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  3. The Nation's Report Card Mathematics 2013 State Snapshot Report. Alabama. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth-and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and for…

  4. The Nation's Report Card Mathematics 2013 State Snapshot Report. Georgia. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  5. A Case Study Using CRA to Teach Students with Disabilities to Count Using Flexible Numbers: Applying Skip Counting to Multiplication

    ERIC Educational Resources Information Center

    Gibbs, Anna S.; Hinton, Vanessa M.; Flores, Margaret M.

    2018-01-01

    Children who struggle in mathematics have a limited understanding of the foundational processes of mathematics. A lack of conceptual understanding causes students to fall behind as they progress through the core curriculum. Children at high risk for developing mathematics disabilities fail to gain numeracy knowledge. The purpose of this case study…

  6. Sam's progress with learning mathematics.

    PubMed

    Haslam, Lynne

    2007-07-01

    Sam is 18 years old and has Down syndrome. He achieved a grade in the standard assessment of mathematics (GCSE) at 16 years of age. This paper describes the part played in his success in school by the Kumon method of teaching mathematics, identifies the benefits of the small steps and lots of practice built in to the method and illustrates the way Sam applied his Kumon learning in school.

  7. Student Participation and Accommodations Handbook: Grades 3, 4, 5, 6, 7, 8, 10. Spring 2007. Hawai'i State Reading and Mathematics Assessment

    ERIC Educational Resources Information Center

    State of Hawaii Department of Education, 2007

    2007-01-01

    The Hawai'i State Assessment is an annual testing program that measures student progress on Hawai'i's reading, writing, and mathematics standards. This handbook provides all Department of Education personnel at the school, complex area, and state levels with information about participation in the Hawai'i State Reading and Mathematics Assessment…

  8. An Evaluation of Curriculum-Based Measurement of Mathematics Word Problem--Solving Measures for Monitoring Third-Grade Students' Mathematics Competence

    ERIC Educational Resources Information Center

    Leh, Jayne M.; Jitendra, Asha K.; Caskie, Grace I. L.; Griffin, Cynthia C.

    2007-01-01

    The purpose of this study was to examine the tenability of a curriculum-based mathematical word problem-solving (WPS) measure as a progress-monitoring tool to index students' rate of growth or slope of achievement over time. Participants consisted of 58 third-grade students, who were assessed repeatedly over 16 school weeks. Students were measured…

  9. 25 CFR 30.107 - What must a tribal governing body or school board include in its alternative definition of AYP?

    Code of Federal Regulations, 2014 CFR

    2014-04-01

    ... assessment system that includes, at a minimum, academic assessments in mathematics and reading or language arts; (5) Measure progress separately for reading or language arts and for mathematics; (6) Unless...

  10. 25 CFR 30.107 - What must a tribal governing body or school board include in its alternative definition of AYP?

    Code of Federal Regulations, 2013 CFR

    2013-04-01

    ... assessment system that includes, at a minimum, academic assessments in mathematics and reading or language arts; (5) Measure progress separately for reading or language arts and for mathematics; (6) Unless...

  11. 25 CFR 30.107 - What must a tribal governing body or school board include in its alternative definition of AYP?

    Code of Federal Regulations, 2012 CFR

    2012-04-01

    ... assessment system that includes, at a minimum, academic assessments in mathematics and reading or language arts; (5) Measure progress separately for reading or language arts and for mathematics; (6) Unless...

  12. 25 CFR 30.107 - What must a tribal governing body or school board include in its alternative definition of AYP?

    Code of Federal Regulations, 2011 CFR

    2011-04-01

    ... assessment system that includes, at a minimum, academic assessments in mathematics and reading or language arts; (5) Measure progress separately for reading or language arts and for mathematics; (6) Unless...

  13. 25 CFR 30.107 - What must a tribal governing body or school board include in its alternative definition of AYP?

    Code of Federal Regulations, 2010 CFR

    2010-04-01

    ... assessment system that includes, at a minimum, academic assessments in mathematics and reading or language arts; (5) Measure progress separately for reading or language arts and for mathematics; (6) Unless...

  14. Engineering physics and mathematics division

    NASA Astrophysics Data System (ADS)

    Sincovec, R. F.

    1995-07-01

    This report provides a record of the research activities of the Engineering Physics and Mathematics Division for the period 1 Jan. 1993 - 31 Dec. 1994. This report is the final archival record of the EPM Division. On 1 Oct. 1994, ORELA was transferred to Physics Division and on 1 Jan. 1995, the Engineering Physics and Mathematics Division and the Computer Applications Division reorganized to form the Computer Science and Mathematics Division and the Computational Physics and Engineering Division. Earlier reports in this series are identified on the previous pages, along with the progress reports describing ORNL's research in the mathematical sciences prior to 1984 when those activities moved into the Engineering Physics and Mathematics Division.

  15. Handbook of International Research in Mathematics Education.

    ERIC Educational Resources Information Center

    English, Lyn D., Ed.

    This handbook brings together important mathematics education research that makes a difference in both theory and practice, research that anticipates problems and necessary knowledge before they become impediments to progress, interprets future-oriented problems into researchable issues, presents the implications of research and theory development…

  16. Performance on Monitoring Basic Skills Progress--Computation Probes in First, Second, and Third Grade: Is It a Predictor of Pennsylvania System of School Assessment Mathematics Achievement in Third Grade?

    ERIC Educational Resources Information Center

    Campbell, Adelle C.

    2017-01-01

    This study examined the predictive relationship of a brief computation measure administered in the fall, winter, and spring of first, second, and third grade with the mathematic portion of a state-mandated academic achievement test administered in the spring of third grade. The relationship between mathematical achievement and resource…

  17. Tracing the Assessment Triangle with Learning Progression-Aligned Assessments in Mathematics

    ERIC Educational Resources Information Center

    Lai, Emily R.; Kobrin, Jennifer L.; DiCerbo, Kristen E.; Holland, Laura R.

    2017-01-01

    We describe an application of the assessment triangle, using a learning progression as the "cognition" vertex. We summarize two studies to evaluate whether evidence of student performance is consistent with our progression. In Study 1, we conducted think alouds using draft assessment activities and evaluated responses in relation to the…

  18. Use of a Progress Monitoring System to Enable Teachers to Differentiate Mathematics Instruction

    ERIC Educational Resources Information Center

    Ysseldyke, Jim; Tardrew, Steve

    2007-01-01

    We explored how a progress monitoring and instructional management system can be used to help educators differentiate instruction and meet the wide-ranging learning needs of their increasingly diverse classrooms. We compared classrooms in 24 states that used a curriculum-based progress monitoring and instructional management system, Accelerated…

  19. Technology and Mathematics Education: A Survey of Recent Developments and Important Problems.

    ERIC Educational Resources Information Center

    Fey, James T.

    1989-01-01

    Provided is an overview and analysis of recent progress in applying electronic information technology to creation of new environments for intellectual work in mathematics. Describes the impact of numerical computation, graphic computation, symbolic computation, multiple representation of information, programing and information, and artificial…

  20. Using Curriculum-Based Measurement To Monitor Kindergarteners' Mathematics Development

    ERIC Educational Resources Information Center

    Seethaler, Pamela M.; Fuchs, Lynn S.

    2011-01-01

    The purpose of this study was to examine technical and instructional features of a kindergarten curriculum-based measurement (CBM) tool designed to track students' mathematics progress in terms of computational concepts, procedures, and counting strategies. Students in 10 kindergarten classrooms in three elementary schools completed alternate…

  1. Modeling Mathematical Ideas: Developing Strategic Competence in Elementary and Middle School

    ERIC Educational Resources Information Center

    Suh, Jennifer M.; Seshaiyer, Padmanabhan

    2016-01-01

    "Modeling Mathematical Ideas" combining current research and practical strategies to build teachers and students strategic competence in problem solving.This must-have book supports teachers in understanding learning progressions that addresses conceptual guiding posts as well as students' common misconceptions in investigating and…

  2. Pre-College Science and Mathematics Teachers: Supply, Demand, and Quality

    DTIC Science & Technology

    1990-12-01

    The most recent mathematics assessment from the National Assessment of Educational Progress (NAEP) found that "most students, even at age 17, do not...teachers in most states over the past decade (Association for School, College, and University Staffing ( ASCUS ), 1984, 1986), and there is some...physics and chemistry, for a number of years (Howe and Gerlovich, 1982; ASCUS , 1986). Other data suggest that many new mathematics and science teachers

  3. From Exploratory Talk to Abstract Reasoning: A Case for Far Transfer?

    ERIC Educational Resources Information Center

    Webb, Paul; Whitlow, J. W., Jr.; Venter, Danie

    2017-01-01

    Research has shown improvements in science, mathematics, and language scores when classroom discussion is employed in school-level science and mathematics classes. Studies have also shown statistically and practically significant gains in children's reasoning abilities as measured by the Raven's Standard Progressive Matrices test when employing…

  4. The Negative Sign and Exponential Expressions: Unveiling Students' Persistent Errors and Misconceptions

    ERIC Educational Resources Information Center

    Cangelosi, Richard; Madrid, Silvia; Cooper, Sandra; Olson, Jo; Hartter, Beverly

    2013-01-01

    The purpose of this study was to determine whether or not certain errors made when simplifying exponential expressions persist as students progress through their mathematical studies. College students enrolled in college algebra, pre-calculus, and first- and second-semester calculus mathematics courses were asked to simplify exponential…

  5. Beyond the Binary: Dexterous Teaching and Knowing in Mathematics Education

    ERIC Educational Resources Information Center

    Adam, Raoul; Chigeza, Philemon

    2015-01-01

    This paper identifies binary oppositions in the discourse of mathematics education and introduces a binary-epistemic model for (re)conceptualising these oppositions and the epistemic-pedagogic problems they represent. The model is attentive to the contextual relationships between pedagogically relevant binaries (e.g., traditional/progressive,…

  6. Mathematics Achievement Levels of Black and White Youth. Report No. 165.

    ERIC Educational Resources Information Center

    Jones, Lyle V.; And Others

    Based on data provided by the National Assessment of Educational Progress, this study examines mathematics achievement in relation to various background variables, contrasts achievement levels of black and white (females and males) youth, and evaluates group achievement differences in the light of group differences in background variables.…

  7. The Lessons of Williamstown.

    ERIC Educational Resources Information Center

    Maurer, Stephen B.

    In July 1982, a conference was held at Williams College in Williamstown, Massachusetts, to discuss the need for more discrete mathematics in the first two years of the core undergraduate mathematics curriculum. This paper reviews the recommendations that were made during the conference, the progress that has been made in the implementation of…

  8. Examining Individual and Collective Level Mathematical Progress

    ERIC Educational Resources Information Center

    Rasmussen, Chris; Wawro, Megan; Zandieh, Michelle

    2015-01-01

    A challenge in mathematics education research is to coordinate different analyses to develop a more comprehensive account of teaching and learning. We contribute to these efforts by expanding the constructs in Cobb and Yackel's (Educational Psychologist 31:175-190, 1996) interpretive framework that allow for coordinating social and individual…

  9. Is Educational Technology Useful to Mathematics Teachers Activists?

    ERIC Educational Resources Information Center

    Stoilescu, Dorian

    2009-01-01

    This in-progress study presents aspects of using educational technology in teaching mathematics education. More exactly, it explores ways in which educational technology might be used in order to improve teachers' cultural awareness and social activism. A rationale for a qualitative research study is presented by using multiple methods combining…

  10. The stability of colorectal cancer mathematical models

    NASA Astrophysics Data System (ADS)

    Khairudin, Nur Izzati; Abdullah, Farah Aini

    2013-04-01

    Colorectal cancer is one of the most common types of cancer. To better understand about the kinetics of cancer growth, mathematical models are used to provide insight into the progression of this natural process which enables physicians and oncologists to determine optimal radiation and chemotherapy schedules and develop a prognosis, both of which are indispensable for treating cancer. This thesis investigates the stability of colorectal cancer mathematical models. We found that continuous saturating feedback is the best available model of colorectal cancer growth. We also performed stability analysis. The result shows that cancer progress in sequence of genetic mutations or epigenetic which lead to a very large number of cells population until become unbounded. The cell population growth initiate and its saturating feedback is overcome when mutation changes causing the net per-capita growth rate of stem or transit cells exceed critical threshold.

  11. A Curricular-Sampling Approach to Progress Monitoring: Mathematics Concepts and Applications

    ERIC Educational Resources Information Center

    Fuchs, Lynn S.; Fuchs, Douglas; Zumeta, Rebecca O.

    2008-01-01

    Progress monitoring is an important component of effective instructional practice. Curriculum-based measurement (CBM) is a form of progress monitoring that has been the focus of rigorous research. Two approaches for formulating CBM systems exist. The first is to assess performance regularly on a task that serves as a global indicator of competence…

  12. Mathematics and statistics research progress report, period ending June 30, 1983

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Beauchamp, J. J.; Denson, M. V.; Heath, M. T.

    1983-08-01

    This report is the twenty-sixth in the series of progress reports of Mathematics and Statistics Research of the Computer Sciences organization, Union Carbide Corporation Nuclear Division. Part A records research progress in analysis of large data sets, applied analysis, biometrics research, computational statistics, materials science applications, numerical linear algebra, and risk analysis. Collaboration and consulting with others throughout the Oak Ridge Department of Energy complex are recorded in Part B. Included are sections on biological sciences, energy, engineering, environmental sciences, health and safety, and safeguards. Part C summarizes the various educational activities in which the staff was engaged. Part Dmore » lists the presentations of research results, and Part E records the staff's other professional activities during the report period.« less

  13. The mathematics of cancer: integrating quantitative models.

    PubMed

    Altrock, Philipp M; Liu, Lin L; Michor, Franziska

    2015-12-01

    Mathematical modelling approaches have become increasingly abundant in cancer research. The complexity of cancer is well suited to quantitative approaches as it provides challenges and opportunities for new developments. In turn, mathematical modelling contributes to cancer research by helping to elucidate mechanisms and by providing quantitative predictions that can be validated. The recent expansion of quantitative models addresses many questions regarding tumour initiation, progression and metastases as well as intra-tumour heterogeneity, treatment responses and resistance. Mathematical models can complement experimental and clinical studies, but also challenge current paradigms, redefine our understanding of mechanisms driving tumorigenesis and shape future research in cancer biology.

  14. Pythagoras, Measurement, and the Geoboard

    ERIC Educational Resources Information Center

    Watson, Elaine

    2007-01-01

    This article tells the story of an elementary school principal, a former high school mathematics teacher, who uses the geoboard in her work with a group of fifth-grade students. As the investigation of polygons progresses from symmetry to area to perimeter, hands-on applications of advanced mathematics topics such as the Pythagorean theorem and…

  15. An Evaluation of Causal Modeling Applied to Educational Productivity in Mathematics.

    ERIC Educational Resources Information Center

    Harnisch, Delwyn L.; Dunbar, Stephen B.

    To probe a psychological theory of educational productivity, background measures along with mathematics test scores and motivational measures of over 7,000 students (9-, 13- and 17-year olds from National Assessment of Educational Progress samples) were statistically related to each other and to indicators of constructs that prior research shows…

  16. Programming-Languages as a Conceptual Framework for Teaching Mathematics

    ERIC Educational Resources Information Center

    Feurzeig, Wallace; Papert, Seymour A.

    2011-01-01

    Formal mathematical methods remain, for most high school students, mysterious, artificial and not a part of their regular intuitive thinking. The authors develop some themes that could lead to a radically new approach. According to this thesis, the teaching of programming languages as a regular part of academic progress can contribute effectively…

  17. Factors Influencing Elementary Teachers' Positioning of African American Girls as Science and Mathematics Learners

    ERIC Educational Resources Information Center

    Pringle, Rose M.; Brkich, Katie Milton; Adams, Thomasenia Lott; West-Olatunii, Cirecie; Archer-Banks, Diane A.

    2012-01-01

    Despite recent progress toward gender equity in science and mathematics education, the underachievement of low-income African American girls remains a challenge when compared with their white counterparts. Furthermore, the causes of this persistent underachievement have not been explored thoroughly. We have initiated a three-year longitudinal…

  18. A Progress Report on an Exploratory Mathematics Course: Incorporating a Programming Component

    ERIC Educational Resources Information Center

    Goldberg, Robert; Waxman, Jerry

    2004-01-01

    This paper reports on an ongoing effort to incorporate a programming component into exploratory mathematics courses and analyzes some of the many practical considerations required for successfully managing such a course in large lecture hall classes. Two pedagogical paradigms (top-down and bottom-up) are compared and contrasted for teaching Visual…

  19. Relations among Brief Measures of Mathematics, Reading, and Processing Speed: A Construct Validity Study

    ERIC Educational Resources Information Center

    Maynard, Jennifer Leigh

    2012-01-01

    Emphasis on regular mathematics skill assessment, intervention, and progress monitoring under the RTI model has created a need for the development of assessment instruments that are psychometrically sound, reliable, universal, and brief. Important factors to consider when developing or selecting assessments for the school environment include what…

  20. Mathematics for Junior High School, Volume II (Part 2).

    ERIC Educational Resources Information Center

    Anderson, R. D.; And Others

    This is part two of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include real numbers, similar triangles, variation, non-metric…

  1. Mathematics Technical Report: Exercise Volume. National Assessment of Educational Progress. Report No. 04-MA-20.

    ERIC Educational Resources Information Center

    Education Commission of the States, Denver, CO. National Assessment of Educational Progress.

    Included in Chapter 1 of this report are background information on the 1972-73 mathematics assessment; details of the computational formulas used in reporting results; and explanations of the technical documentation, exercise presentation, documentation pages, scoring guides, and data tables for released and unreleased exercises. The remainder of…

  2. Effectiveness of a Middle School Summer Mathematics Remediation Program

    ERIC Educational Resources Information Center

    Chapman, Scott

    2013-01-01

    The No Child Left Behind Act of 2001 requires schools to show measureable improvement in student achievement in order to demonstrate Adequate Yearly Progress. Although the Georgia Department of Education has documented the short-comings of Georgia's students in mathematics on standardized tests, little research has been done on short-term…

  3. Defining Levels on the 1990 Mathematics Composite.

    ERIC Educational Resources Information Center

    Johnson, Eugene G.

    Procedures used to map the achievement levels, expressed as total expected scores on the full set of items presented to a grade, onto the Mathematics Composite of the 1990 National Assessment of Educational Progress (NAEP) are described. The Composite, defined as a weighted average of subdomain scores, provides a global measure of mathematics…

  4. Historical mathematics in the French eighteenth century.

    PubMed

    Richards, Joan L

    2006-12-01

    At least since the seventeenth century, the strange combination of epistemological certainty and ontological power that characterizes mathematics has made it a major focus of philosophical, social, and cultural negotiation. In the eighteenth century, all of these factors were at play as mathematical thinkers struggled to assimilate and extend the analysis they had inherited from the seventeenth century. A combination of educational convictions and historical assumptions supported a humanistic mathematics essentially defined by its flexibility and breadth. This mathematics was an expression of l'esprit humain, which was unfolding in a progressive historical narrative. The French Revolution dramatically altered the historical and educational landscapes that had supported this eighteenth-century approach, and within thirty years Augustin Louis Cauchy had radically reconceptualized and restructured mathematics to be rigorous rather than narrative.

  5. Clinical study and numerical simulation of brain cancer dynamics under radiotherapy

    NASA Astrophysics Data System (ADS)

    Nawrocki, S.; Zubik-Kowal, B.

    2015-05-01

    We perform a clinical and numerical study of the progression of brain cancer tumor growth dynamics coupled with the effects of radiotherapy. We obtained clinical data from a sample of brain cancer patients undergoing radiotherapy and compare it to our numerical simulations to a mathematical model of brain tumor cell population growth influenced by radiation treatment. We model how the body biologically receives a physically delivered dose of radiation to the affected tumorous area in the form of a generalized LQ model, modified to account for the conversion process of sublethal lesions into lethal lesions at high radiation doses. We obtain good agreement between our clinical data and our numerical simulations of brain cancer progression given by the mathematical model, which couples tumor growth dynamics and the effect of irradiation. The correlation, spanning a wide dataset, demonstrates the potential of the mathematical model to describe the dynamics of brain tumor growth influenced by radiotherapy.

  6. Mathematics and Statistics Research Department progress report, period ending June 30, 1982

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Denson, M.V.; Funderlic, R.E.; Gosslee, D.G.

    1982-08-01

    This report is the twenty-fifth in the series of progress reports of the Mathematics and Statistics Research Department of the Computer Sciences Division, Union Carbide Corporation Nuclear Division (UCC-ND). Part A records research progress in analysis of large data sets, biometrics research, computational statistics, materials science applications, moving boundary problems, numerical linear algebra, and risk analysis. Collaboration and consulting with others throughout the UCC-ND complex are recorded in Part B. Included are sections on biology, chemistry, energy, engineering, environmental sciences, health and safety, materials science, safeguards, surveys, and the waste storage program. Part C summarizes the various educational activities inmore » which the staff was engaged. Part D lists the presentations of research results, and Part E records the staff's other professional activities during the report period.« less

  7. Mathematics and statistics research department. Progress report, period ending June 30, 1981

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Lever, W.E.; Kane, V.E.; Scott, D.S.

    1981-09-01

    This report is the twenty-fourth in the series of progress reports of the Mathematics and Statistics Research Department of the Computer Sciences Division, Union Carbide Corporation - Nuclear Division (UCC-ND). Part A records research progress in biometrics research, materials science applications, model evaluation, moving boundary problems, multivariate analysis, numerical linear algebra, risk analysis, and complementary areas. Collaboration and consulting with others throughout the UCC-ND complex are recorded in Part B. Included are sections on biology and health sciences, chemistry, energy, engineering, environmental sciences, health and safety research, materials sciences, safeguards, surveys, and uranium resource evaluation. Part C summarizes the variousmore » educational activities in which the staff was engaged. Part D lists the presentations of research results, and Part E records the staff's other professional activities during the report period.« less

  8. An attempt at the computer-aided management of HIV infection

    NASA Astrophysics Data System (ADS)

    Ida, A.; Oharu, Y.; Sankey, O.

    2007-07-01

    The immune system is a complex and diverse system in the human body and HIV virus disrupts and destroys it through extremely complicated but surprisingly logical process. The purpose of this paper is to make an attempt to present a method for the computer-aided management of HIV infection process by means of a mathematical model describing the dynamics of the host pathogen interaction with HIV-1. Treatments for the AIDS disease must be changed to more efficient ones in accordance with the disease progression and the status of the immune system. The level of progression and the status are represented by parameters which are governed by our mathematical model. It is then exhibited that our model is numerically stable and uniquely solvable. With this knowledge, our mathematical model for HIV disease progression is formulated and physiological interpretations are provided. The results of our numerical simulations are visualized, and it is seen that our results agree with medical aspects from the point of view of antiretroviral therapy. It is then expected that our approach will take to address practical clinical issues and will be applied to the computer-aided management of antiretroviral therapies.

  9. Shadows Constructing a Relationship between Light and Color Pigments by Physical and Mathematical Perspectives

    ERIC Educational Resources Information Center

    Yurumezoglu, Kemal; Karabey, Burak; Koyunkaya, Melike Yigit

    2017-01-01

    Full shadows, partial shadows and multilayer shadows are explained based on the phenomenon of the linear dispersion of light. This paper focuses on progressing the understanding of shadows from physical and mathematical perspectives. A significant relationship between light and color pigments is demonstrated with the help of the concept of sets.…

  10. Learning by Doing: A Manual for Teaching and Assessing Higher-Order Thinking in Science and Mathematics.

    ERIC Educational Resources Information Center

    National Assessment of Educational Progress, Princeton, NJ.

    The National Assessment of Educational Progress (NAEP), the Nation's Report Card, has developed and pilot-tested a variety of hands-on science and mathematics tasks. These tasks were developed as prototypes for use in future national assessments, but the concepts measured and the innovative approaches used are equally suitable for classroom…

  11. The Nation's Report Card Mathematics 2011 State Snapshot Report. Oregon. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2011

    2011-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2011 mathematics assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. Overall results, achievement level percentages and average score results, comparison of the average score in 2011 to…

  12. The Nation's Report Card Mathematics 2011 State Snapshot Report. Oregon. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2011

    2011-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2011 mathematics assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. Overall results, achievement level percentages and average score results, comparison of the average score in 2011 to…

  13. The Nation's Report Card Mathematics 2011 State Snapshot Report. Minnesota. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2011

    2011-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2011 mathematics assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. Overall results, achievement level percentages and average score results, comparison of the average score in 2011 to…

  14. Educational Equity and Adequacy for Disadvantaged Minority Students: School and Teacher Resource Gaps toward National Mathematics Proficiency Standard

    ERIC Educational Resources Information Center

    Lee, Jaekyung

    2012-01-01

    This study addresses the issue of educational inadequacy and inequity for disadvantaged minority students. It estimates desired national standards and examines interrelated gaps in key school-teacher resources and mathematics achievement by linking national education data sets (National Assessment of Educational Progress [NAEP], Common Core of…

  15. The Nation's Report Card Mathematics 2013 State Snapshot Report. New Hampshire. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2014

    2014-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2013 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for New Hampshire's 2013 student achievement in…

  16. The Nation's Report Card Mathematics 2013 State Snapshot Report. New Jersey. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2014

    2014-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2013 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for New Jersey's 2013 student achievement in…

  17. The Nation's Report Card Mathematics 2013 State Snapshot Report. South Dakota. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2014

    2014-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2013 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for South Dakota's 2013 student achievement in…

  18. Teacher Questioning Strategies in Mathematical Classroom Discourse: A Case Study of Two Grade Eight Teachers in Tennessee, USA

    ERIC Educational Resources Information Center

    McCarthy, Peter; Sithole, Alec; McCarthy, Paul; Cho, Jea-pil; Gyan, Emmanuel

    2016-01-01

    Teacher questioning in mathematics is an important diagnostic tool for teaching as well as measuring the academic progression and comprehension of the learner. While teacher questioning enhances student learning and self-assessment of the teacher's lesson delivery effectiveness, if not presented properly can have negative impacts on the student…

  19. The Nation's Report Card Mathematics 2011 State Snapshot Report. West Virginia. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2011

    2011-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2011 mathematics assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. Overall results, achievement level percentages and average score results, comparison of the average score in 2011 to…

  20. The Nation's Report Card Mathematics 2009 State Snapshot Report. West Virginia. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2010

    2010-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2009 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for West Virginia's student achievement in reading. In…

  1. The Nation's Report Card Mathematics 2011 State Snapshot Report. West Virginia. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2011

    2011-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2011 mathematics assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. Overall results, achievement level percentages and average score results, comparison of the average score in 2011 to…

  2. NAEP 1992 Mathematics State Report for the Virgin Islands. The Trial State Assessment Program.

    ERIC Educational Resources Information Center

    National Assessment of Educational Progress, Princeton, NJ.

    In 1990, the National Assessment of Educational Progress (NAEP) included a Trial State Assessment which, for the first time in the NAEP's history, made voluntary state-by-state assessments. This 1992 mathematics report marks the first attempt of the National Center for Education Statistics to shift to standards-based reporting of National…

  3. Measurement Approach to Teaching Fractions: A Design Experiment in a Pre-Service Course for Elementary Teachers

    ERIC Educational Resources Information Center

    Bobos, Georgeana; Sierpinska, Anna

    2017-01-01

    In this paper, we present a design experiment in a "Teaching Mathematics" course for prospective elementary teachers where we sought to develop a "measurement approach" to fractions. We focus on the conceptualization of the mathematical content of the approach. We attribute our progress in the conceptualization to our efforts…

  4. What Form of Mathematics Are Assessments Assessing? The Case of Multiplication and Division in Fourth Grade NAEP Items

    ERIC Educational Resources Information Center

    Kosko Karl W.; Singh, Rashmi

    2018-01-01

    Multiplicative reasoning is a key concept in elementary school mathematics. Item statistics reported by the National Assessment of Educational Progress (NAEP) assessment provide the best current indicator for how well elementary students across the U.S. understand this, and other concepts. However, beyond expert reviews and statistical analysis,…

  5. Comparing Computer Adaptive and Curriculum-Based Measures of Math in Progress Monitoring

    ERIC Educational Resources Information Center

    Shapiro, Edward S.; Dennis, Minyi Shih; Fu, Qiong

    2015-01-01

    The purpose of the study was to compare the use of a Computer Adaptive Test and Curriculum-Based Measurement in the assessment of mathematics. This study also investigated the degree to which slope or rate of change predicted student outcomes on the annual state assessment of mathematics above and beyond scores of single point screening…

  6. First-Year Seminar Intervention: Enhancing First-Year Mathematics Performance at the University of Johannesburg

    ERIC Educational Resources Information Center

    Jacobs, Melanie; Pretorius, Estherna

    2016-01-01

    South Africa has opened up access to higher education over the past 20 years. The massive increase in enrolments (with almost 70% first-generation students) substantially affects progress and graduation rates in Science programmes in higher education. First-year students in Science realise that university mathematics requires knowledge and skills…

  7. Covariation between Variables in a Modelling Process: The ACODESA (Collaborative Learning, Scientific Debate and Self-Reflection) Method

    ERIC Educational Resources Information Center

    Hitt, Fernando; González-Martín, Alejandro S.

    2015-01-01

    Semiotic representations have been an important topic of study in mathematics education. Previous research implicitly placed more importance on the development of institutional representations of mathematical concepts in students rather than other types of representations. In the context of an extensive research project, in progress since 2005,…

  8. The Development of Everyday Mathematics in Brazilian Children with Limited Formal Education.

    ERIC Educational Resources Information Center

    Guberman, Steven R.

    1996-01-01

    Studied the sociocultural context in which Brazilian children acquire and use everyday mathematics in terms of currency use. Participants were 105 children, ages 4 to 11, and their parents. Found decreased use of currency with increasing age. Children also used currency to aid their problem solving and progressed from global estimates to the…

  9. The Nation's Report Card Mathematics 2011 State Snapshot Report. Idaho. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2011

    2011-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2011 mathematics assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. Overall results, achievement level percentages and average score results, comparison of the average score in 2011 to…

  10. The Nation's Report Card Mathematics 2011 State Snapshot Report. New Hampshire. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2011

    2011-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2011 mathematics assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. Overall results, achievement level percentages and average score results, comparison of the average score in 2011 to…

  11. The Nation's Report Card Mathematics 2013 State Snapshot Report. Tennessee. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2014

    2014-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2013 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for Tennessee's 2013 student achievement in…

  12. The Nation's Report Card Mathematics 2013 State Snapshot Report. Michigan. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2014

    2014-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2013 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for Michigan's 2013 student achievement in…

  13. The Nation's Report Card Mathematics 2013 State Snapshot Report. Connecticut. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2014

    2014-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2013 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for Connecticut's 2013 student achievement in…

  14. The Nation's Report Card Mathematics 2013 State Snapshot Report. Massachusetts. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2014

    2014-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2013 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for Massachusetts' 2013 student achievement in…

  15. The Nation's Report Card Mathematics 2013 State Snapshot Report. West Virginia. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2014

    2014-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2013 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for West Virginia's 2013 student achievement in…

  16. The Nation's Report Card Mathematics 2013 State Snapshot Report. Illinois. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2014

    2014-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2013 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for Illinois's 2013 student achievement in…

  17. The Nation's Report Card Mathematics 2009 State Snapshot Report. New Hampshire. Grade 12, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2010

    2010-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2009 Grade 12 Reading and Mathematics State Pilot assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. This report presents the results for New Hampshire's student achievement in…

  18. Positive Biases in Self-Assessment of Mathematics Competence, Achievement Goals, and Mathematics Performance

    ERIC Educational Resources Information Center

    Dupeyrat, Caroline; Escribe, Christian; Huet, Nathalie; Regner, Isabelle

    2011-01-01

    The study examined how biases in self-evaluations of math competence relate to achievement goals and progress in math achievement. It was expected that performance goals would be related to overestimation and mastery goals to accurate self-assessments. A sample of French high-school students completed a questionnaire measuring their math…

  19. The Nation's Report Card Mathematics 2011 State Snapshot Report. Hawaii. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2011

    2011-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2011 mathematics assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. Overall results, achievement level percentages and average score results, comparison of the average score in 2011 to…

  20. The Nation's Report Card: Mathematics 2011. Trial Urban District Assessment Results at Grades 4 and 8. NCES 2012-452

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2011

    2011-01-01

    Representative samples of fourth- and eighth-grade public school students from 21 urban districts participated in the 2011 National Assessment of Educational Progress (NAEP) in mathematics. Eighteen of the districts participating in the 2011 NAEP Trial Urban District Assessment (TUDA) participated in earlier assessment years, while three districts…

  1. Progress Report on Coordinating Federal Science, Technology, Engineering, and Mathematics (STEM) Education

    ERIC Educational Resources Information Center

    Executive Office of the President, 2016

    2016-01-01

    As called for in the America COMPETES Reauthorization Act of 2010, the National Science and Technology Council's (NSTC) Committee on STEM Education (CoSTEM) released, in May of 2013, the Federal Science, Technology, Engineering, and Mathematics (STEM) Education 5- Year Strategic Plan (Strategic Plan). As required by the Act, this report includes…

  2. The Nation's Report Card Mathematics 2011 State Snapshot Report. DoDEA. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2011

    2011-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2011 mathematics assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. Overall results, achievement level percentages and average score results, comparison of the average score in 2011 to…

  3. The Nation's Report Card Mathematics 2011 State Snapshot Report. DoDEA. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2011

    2011-01-01

    Each state and jurisdiction that participated in the National Assessment of Educational Progress (NAEP) 2011 mathematics assessment receives a one-page snapshot report that presents key findings and trends in a condensed format. Overall results, achievement level percentages and average score results, comparison of the average score in 2011 to…

  4. Changes in Teachers' Knowledge and Beliefs about Mathematics and Mathematics Teaching: A Case Study

    ERIC Educational Resources Information Center

    Lomas, Laurinda; Clarke, Doug

    2016-01-01

    As teaching is a cultural activity embedded in a unique context, professional development opportunities for teachers may be best placed amid the relevance of everyday classroom practice, and supported by an innovative curriculum. This progress paper reports on data collected as part of doctoral research studying the changes in mathematical…

  5. A Framework for Understanding and Cultivating the Transition from Arithmetic to Algebraic Reasoning

    ERIC Educational Resources Information Center

    Nathan, Mitchell J.; Koellner, Karen

    2007-01-01

    Algebraic reasoning stands as a formidable gatekeeper for students in their efforts to progress in mathematics and science, and to obtain economic opportunities (Ladson-Billings, 1998; RAND, 2003). Currently, mathematics education research has focused on algebra in order to provide access and opportunities for more students. There is now a growing…

  6. Factors Impacting Academic Yearly Progress Success in Mathematics Achievement

    ERIC Educational Resources Information Center

    Carter, Lauren

    2010-01-01

    The demands of No Child Left Behind (NCLB) increase each year, requiring all students to be proficient in mathematics by 2014. The county in this project study will not meet requirements of NCLB by 2014 if current trends continue. The guiding research question for this project study investigated the most effective way to meet the needs of all…

  7. Shadows constructing a relationship between light and color pigments by physical and mathematical perspectives

    NASA Astrophysics Data System (ADS)

    Yurumezoglu, Kemal; Karabey, Burak; Yigit Koyunkaya, Melike

    2017-03-01

    Full shadows, partial shadows and multilayer shadows are explained based on the phenomenon of the linear dispersion of light. This paper focuses on progressing the understanding of shadows from physical and mathematical perspectives. A significant relationship between light and color pigments is demonstrated with the help of the concept of sets. This integration of physical and mathematical reasoning not only manages an operational approach to the concept of shadows, it also outputs a model that can be used in science, technology, engineering and mathematics (STEM) curricula by providing a concrete and physical example for abstract concept of the empty set.

  8. Academic Progress of Students across Inclusive and Traditional Settings

    ERIC Educational Resources Information Center

    Cole, Cassandra M.; Waldron, Nancy; Majd, Massoumeh

    2004-01-01

    Effects of inclusive school settings for students in six Indiana school corporations were investigated. Results reveal that students without disabilities educated in inclusive settings made significantly greater academic progress in mathematics and reading. For students with disabilities, there were no significant differences in reading and math…

  9. Transport theory and fluid dynamics

    NASA Astrophysics Data System (ADS)

    Greenberg, W.; Zweifel, P. F.

    We report progress in various areas of applied mathematics relevant to transport theory under the subjects: abstract transport theory, explicit transport models and computation, and fluid dynamics. We present a brief review of progress during the past year and personnel supported, and we indicate the direction of our future research.

  10. Mathematical models used in segmentation and fractal methods of 2-D ultrasound images

    NASA Astrophysics Data System (ADS)

    Moldovanu, Simona; Moraru, Luminita; Bibicu, Dorin

    2012-11-01

    Mathematical models are widely used in biomedical computing. The extracted data from images using the mathematical techniques are the "pillar" achieving scientific progress in experimental, clinical, biomedical, and behavioural researches. This article deals with the representation of 2-D images and highlights the mathematical support for the segmentation operation and fractal analysis in ultrasound images. A large number of mathematical techniques are suitable to be applied during the image processing stage. The addressed topics cover the edge-based segmentation, more precisely the gradient-based edge detection and active contour model, and the region-based segmentation namely Otsu method. Another interesting mathematical approach consists of analyzing the images using the Box Counting Method (BCM) to compute the fractal dimension. The results of the paper provide explicit samples performed by various combination of methods.

  11. Accelerated Math®. Primary Mathematics. What Works Clearinghouse Intervention Report

    ERIC Educational Resources Information Center

    What Works Clearinghouse, 2017

    2017-01-01

    "Accelerated Math®," published by Renaissance Learning, is a software tool that provides practice problems for students in grades K-12 and provides teachers with reports to monitor student progress. "Accelerated Math®" creates individualized student assignments, scores the assignments, and generates reports on student progress.…

  12. Science Education Reform in Qatar: Progress and Challenges

    ERIC Educational Resources Information Center

    Said, Ziad

    2016-01-01

    Science education reform in Qatar has had limited success. In the Trends in International Mathematics and Science Study (TIMMS), Qatari 4th and 8th grade students have shown progress in science achievement, but they remain significantly below the international average. Also, in the Program for International Student Assessment (PISA), Qatari…

  13. Civics Framework for the 2010 National Assessment of Educational Progress

    ERIC Educational Resources Information Center

    National Assessment Governing Board, 2009

    2009-01-01

    The National Assessment of Educational Progress (NAEP) is a survey mandated by the U.S. Congress to collect and report information about student achievement in various academic subjects, such as mathematics, science, reading, writing, history, geography, and civics. The National Assessment Governing Board sets policy and the overall dimensions…

  14. Prospects for School Mathematics. Seventy-Five Years of Progress.

    ERIC Educational Resources Information Center

    Carl, Iris M., Ed.

    This book offers a broad view for a varied audience of what the vision expressed in all three National Council of Teachers of Mathematics' Standards documents will look like when aligned with practice and outlines ways in which desired changes can be realized. Six sections and 21 chapters in the book are: Section I--History: (1) "Paths to the…

  15. easyCBM[R] Mathematics Criterion Related Validity Evidence: Oregon State Test. Technical Report #1011

    ERIC Educational Resources Information Center

    Anderson, Daniel; Alonzo, Julie; Tindal, Gerald

    2010-01-01

    In this technical report, we present the results of a study examining the relation between the math measures available on the easyCBM[R] online benchmark and progress monitoring assessment system and the Oregon statewide assessment of mathematics. Designed for use within a response to intervention (RTI) framework, easyCBM[R] is intended to help…

  16. The Nation's Report Card Reading 2013 State Snapshot Report. Oregon. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  17. The Nation's Report Card Reading 2013 State Snapshot Report. Minnesota. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  18. The Nation's Report Card Reading 2013 State Snapshot Report. Minnesota. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  19. Posing Complex Problems Requiring Multiplicative Thinking Prompts Students to Use Sophisticated Strategies and Build Mathematical Connections

    ERIC Educational Resources Information Center

    Downton, Ann; Sullivan, Peter

    2017-01-01

    While the general planning advice offered to mathematics teachers seems to be to start with simple examples and build complexity progressively, the research reported in this article is a contribution to the body of literature that argues the reverse. That is, posing of appropriately complex tasks may actually prompt the use of more sophisticated…

  20. Technical Report of the NAEP Mathematics Assessment in Puerto Rico: Focus on Statistical Issues. NCES 2007-462

    ERIC Educational Resources Information Center

    Baxter, G. P.; Ahmed, S.; Sikali, E.; Waits, T.; Sloan, M.; Salvucci, S.

    2007-01-01

    In 2003, a trial National Assessment of Educational Progress (NAEP) mathematics assessment was administered in Spanish to public school students at grades 4 and 8 in Puerto Rico. Based on preliminary analyses of the 2003 data, changes were made in administration and translation procedures for the 2005 NAEP administration in Puerto Rico. This…

  1. The Impact of After School Tutoring on Math Achievement: Perceptions of African American Males and Those Who Teach Them

    ERIC Educational Resources Information Center

    Brown, Eric L.

    2017-01-01

    Despite increases in overall academic achievement, African American males continue to struggle in the area of mathematics. Data from the National Assessment of Educational Progress (NAEP) indicates that eighth grade African American males had the lowest levels of mathematics success of all subgroups in 2013, with only 13% performing at or above…

  2. Mathematics for Critical Numeracy: A Case Study of a Social Justice Mathematics Course for Preservice Elementary Teachers

    ERIC Educational Resources Information Center

    Bateiha, Summer R.

    2010-01-01

    In spite of undeniable technological progress in our Western society, injustice continues to plague the twenty-first century. More than ever in human history, our civilization faces many obstacles that require our attention. Although some educators have contended that the primary goal of education should be to ensure social well-being, many still…

  3. Gender Gap Trends on Mathematics Exams Position Girls and Young Women for STEM Careers

    ERIC Educational Resources Information Center

    Beekman, John A.; Ober, David

    2015-01-01

    Nine years of results on 4.2 million of Indiana's Indiana Statewide Testing for Educational Progress (ISTEP) mathematics (math) exams (grades 3-10) taken after the implementation of No Child Left Behind have been used to determine gender gaps and their associated trends. Sociocultural factors were investigated by comparing math gender gaps and gap…

  4. Cognitive Neuroscience and Mathematics Learning: How Far Have We Come? Where Do We Need to Go?

    ERIC Educational Resources Information Center

    Ansari, Daniel; Lyons, Ian M.

    2016-01-01

    In this commentary on the ZDM special issue: "Cognitive neuroscience and mathematics learning--revisited after 5 years," we explore the progress that has been made since ZDM published a similar special issue in 2010. We consider the extent to which future frontiers and methodological concerns raised in the commentary on the 2010 issue by…

  5. Applying NAEP to Improve Mathematics Content and Methods Courses for Preservice Elementary and Middle School Teachers

    ERIC Educational Resources Information Center

    Goodson-Espy, Tracy; Cifarelli, Victor V.; Pugalee, David; Lynch-Davis, Kathleen; Morge, Shelby; Salinas, Tracie

    2014-01-01

    This study explored how mathematics content and methods courses for preservice elementary and middle school teachers could be improved through the integration of a set of instructional materials based on the National Assessment of Educational Progress (NAEP). A set of eight instructional modules was developed and tested. The study involved 7…

  6. Excellence without Equity in Student Mathematics Performance: The Case of Taiwan from an International Perspective

    ERIC Educational Resources Information Center

    Huang, Min-Hsiung

    2017-01-01

    As Taiwanese students progress from elementary to junior high school, there is a remarkable increase in the inequality of achievement in mathematics. This increase is of a magnitude not seen in other countries. Findings show that the widening-gap phenomenon is accompanied by an exceptional increase in the percentage of students reaching the…

  7. The Nation's Report Card Reading 2013 State Snapshot Report. New Hampshire. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  8. Computational Typologies of Multidimensional End-of-Primary-School Performance Profiles from an Educational Perspective of Large-Scale TIMSS and PIRLS Surveys

    ERIC Educational Resources Information Center

    Unlu, Ali; Schurig, Michael

    2015-01-01

    Recently, performance profiles in reading, mathematics and science were created using the data collectively available in the Trends in International Mathematics and Science Study (TIMSS) and the Progress in International Reading Literacy Study (PIRLS) 2011. In addition, a classification of children to the end of their primary school years was…

  9. International Perspectives on the Nature of Mathematical Knowledge for Secondary Teaching: Progress and Dilemmas. Research Forum

    ERIC Educational Resources Information Center

    Doerr, Helen M.; Wood, Terry

    2004-01-01

    This research forum addresses the question: what is the nature of the mathematical knowledge that is needed for secondary teaching? Six international contributors: (1) Australia (Kaye Stacey); (2) Brazil (Marcelo Borba); (3) Israel (Ruhama Even); (4) Norway (Bodil Kleve and Barbara Jaworski); (5) Taiwan (Fou-Lai Lin); and (6) USA (Helen Doerr)…

  10. Concepts of Mathematics for Students of Physics and Engineering: A Dictionary

    NASA Technical Reports Server (NTRS)

    Kolecki, Joseph C.

    2003-01-01

    A physicist with an engineering background, the author presents a mathematical dictionary containing material encountered over many years of study and professional work at NASA. This work is a compilation of the author's experience and progress in the field of study represented and consists of personal notes and observations that can be used by students in physics and engineering.

  11. The Nation's Report Card Reading 2013 State Snapshot Report. Hawaii. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  12. Factors Affecting Student Learning Outcomes: A School-Level Analysis of the 1990 NAEP Mathematics Trial State Assessment.

    ERIC Educational Resources Information Center

    Kim, Lori Yoonkyung

    Data from the 1990 National Assessment of Educational Progress (NAEP) Trial State Assessment (TSA) in mathematics were analyzed to determine what educational factors influence student learning, how these factors influence learning, and how important these factors are to student achievement. NAEP TSA data were collected from more than 100,000…

  13. Exploring the Mathematical Knowledge for Teaching Geometry and Measurement through the Design and Use of Rich Assessment Tasks

    ERIC Educational Resources Information Center

    Steele, Michael D.

    2013-01-01

    While recent national and international assessments have shown mathematical progress being made by US students, little to no gains are evident in the areas of geometry and measurement. These reports also suggest that practicing teachers have traditionally had few opportunities to engage in content learning around topics in geometry and…

  14. The Nation's Report Card Reading 2013 State Snapshot Report. Wisconsin. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  15. The Nation's Report Card Reading 2013 State Snapshot Report. Wisconsin. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  16. The Nation's Report Card Reading 2013 State Snapshot Report. DoDEA. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  17. The Nation's Report Card Reading 2013 State Snapshot Report. Iowa. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  18. The Nation's Report Card Reading 2013 State Snapshot Report. Florida. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  19. The Nation's Report Card Reading 2013 State Snapshot Report. Alabama. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  20. The Nation's Report Card Reading 2013 State Snapshot Report. Tennessee. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  1. The Nation's Report Card Reading 2013 State Snapshot Report. South Carolina. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  2. The Nation's Report Card Reading 2013 State Snapshot Report. Colorado. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  3. The Nation's Report Card Reading 2013 State Snapshot Report. Colorado. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  4. The Nation's Report Card Reading 2013 State Snapshot Report. Alabama. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  5. The Nation's Report Card Reading 2013 State Snapshot Report. California. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  6. The Nation's Report Card Reading 2013 State Snapshot Report. Maine. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  7. The Nation's Report Card Reading 2013 State Snapshot Report. Oregon. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  8. The Nation's Report Card Reading 2013 State Snapshot Report. Maryland. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  9. The Nation's Report Card Reading 2013 State Snapshot Report. California. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  10. The Nation's Report Card Reading 2013 State Snapshot Report. Arizona. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  11. The Nation's Report Card Reading 2013 State Snapshot Report. New Mexico. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  12. The Nation's Report Card Reading 2013 State Snapshot Report. Arkansas. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  13. The Nation's Report Card Reading 2013 State Snapshot Report. Ohio. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  14. The Nation's Report Card Reading 2013 State Snapshot Report. Delaware. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  15. The Nation's Report Card Reading 2013 State Snapshot Report. Idaho. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  16. The Nation's Report Card Reading 2013 State Snapshot Report. Ohio. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  17. The Nation's Report Card Reading 2013 State Snapshot Report. District of Columbia. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  18. The Nation's Report Card Reading 2013 State Snapshot Report. Alaska. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  19. The Nation's Report Card Reading 2013 State Snapshot Report. Virginia. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  20. The Nation's Report Card Reading 2013 State Snapshot Report. Connecticut. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  1. The Nation's Report Card Reading 2013 State Snapshot Report. Hawaii. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  2. The Nation's Report Card Reading 2013 State Snapshot Report. Connecticut. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  3. The Nation's Report Card Reading 2013 State Snapshot Report. Idaho. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  4. The Nation's Report Card Reading 2013 State Snapshot Report. Kentucky. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  5. The Nation's Report Card Reading 2013 State Snapshot Report. Alaska. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  6. The Nation's Report Card Reading 2013 State Snapshot Report. Rhode Island. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  7. The Nation's Report Card Reading 2013 State Snapshot Report. Kansas. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  8. The Nation's Report Card Reading 2013 State Snapshot Report. Louisiana. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  9. The Nation's Report Card Reading 2013 State Snapshot Report. Georgia. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  10. The Nation's Report Card Reading 2013 State Snapshot Report. DoDEA. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  11. The Nation's Report Card Reading 2013 State Snapshot Report. North Dakota. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  12. The Nation's Report Card Reading 2013 State Snapshot Report. Indiana. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  13. The Nation's Report Card Reading 2013 State Snapshot Report. New Hampshire. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  14. The Nation's Report Card Reading 2013 State Snapshot Report. Delaware. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  15. The Nation's Report Card Reading 2013 State Snapshot Report. Georgia. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  16. The Nation's Report Card Reading 2013 State Snapshot Report. Iowa. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  17. The Nation's Report Card Reading 2013 State Snapshot Report. Tennessee. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  18. The Nation's Report Card Reading 2013 State Snapshot Report. Massachusetts. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  19. The Nation's Report Card Reading 2013 State Snapshot Report. Mississippi. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  20. The Nation's Report Card Reading 2013 State Snapshot Report. Arkansas. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  1. The Nation's Report Card Reading 2013 State Snapshot Report. Washington. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  2. The Nation's Report Card Reading 2013 State Snapshot Report. Washington. Grade 8, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  3. The Nation's Report Card Reading 2013 State Snapshot Report. District of Columbia. Grade 4, Public Schools

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    Results from the 2013 NAEP assessments show fourth- and eighth-graders making progress in mathematics and reading. Nationally representative samples of more than 376,000 fourth-graders and 341,000 eighth-graders were assessed in either mathematics or reading in 2013. Results are reported for public and private school students in the nation, and…

  4. The Alignment of easyCBM[R] Math Measures to Curriculum Standards. Technical Report #1002

    ERIC Educational Resources Information Center

    Nese, Joseph F. T.; Lai, Cheng-Fei; Anderson, Daniel; Park, Bitnara Jasmine; Tindal, Gerald; Alonzo, Julie

    2010-01-01

    The purpose of this study was to examine the alignment of the easyCBM[R] mathematics benchmark and progress monitoring measures to the National Council of Teachers of Mathematics "Curriculum Focal Points" (NCTM, 2006). Based on Webb's alignment model (1997, 2002), we collected expert judgments on individual math items across a sampling of forms…

  5. The Use of Mathematical Modelling for Improving the Tissue Engineering of Organs and Stem Cell Therapy.

    PubMed

    Lemon, Greg; Sjoqvist, Sebastian; Lim, Mei Ling; Feliu, Neus; Firsova, Alexandra B; Amin, Risul; Gustafsson, Ylva; Stuewer, Annika; Gubareva, Elena; Haag, Johannes; Jungebluth, Philipp; Macchiarini, Paolo

    2016-01-01

    Regenerative medicine is a multidisciplinary field where continued progress relies on the incorporation of a diverse set of technologies from a wide range of disciplines within medicine, science and engineering. This review describes how one such technique, mathematical modelling, can be utilised to improve the tissue engineering of organs and stem cell therapy. Several case studies, taken from research carried out by our group, ACTREM, demonstrate the utility of mechanistic mathematical models to help aid the design and optimisation of protocols in regenerative medicine.

  6. Generalizability of New Standards Project, 1993 Pilot Study Tasks in Mathematics. Technical Issues in Procedures To Link State Results to a Common National Standard. Project 2.4 Quantitative Models To Monitor the Status and Progress of Learning and Performance and Their Antecedents.

    ERIC Educational Resources Information Center

    Linn, Robert L.

    The New Standards Project conducted a pilot test of a series of performance-based assessment tasks in mathematics and English language arts at Grades 4 and 8 in the spring of 1993. This paper reports the results of a series of generalizability analyses conducted for a subset of the 1993 pilot study data in mathematics. Generalizability analyses…

  7. The mathematics of virus shell assembly. Progress report 1995--1996

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Berger, B.

    1996-08-01

    This research focuses on applying computational and mathematical techniques to problems in biology, and more specifically to problems in protein folding. Significant progress has been made in the following areas relating to virus shell assembly: the local rules theory has been further developed; development has begun on a second-generation simulator which provides a more physically realistic model of assembly, collaborative efforts have continued with an experimental biologist to verify and inspire the local rules theory; an investigation has been initiated into the mechanics of virus shell assembly; laboratory experiments have been conducted on bacteriophage T4 which verify that the previouslymore » believed structure for the core may be incorrect.« less

  8. Mathematical Models of Breast and Ovarian Cancers

    PubMed Central

    Botesteanu, Dana-Adriana; Lipkowitz, Stanley; Lee, Jung-Min; Levy, Doron

    2016-01-01

    Women constitute the majority of the aging United States (US) population, and this has substantial implications on cancer population patterns and management practices. Breast cancer is the most common women's malignancy, while ovarian cancer is the most fatal gynecological malignancy in the US. In this review we focus on these subsets of women's cancers, seen more commonly in postmenopausal and elderly women. In order to systematically investigate the complexity of cancer progression and response to treatment in breast and ovarian malignancies, we assert that integrated mathematical modeling frameworks viewed from a systems biology perspective are needed. Such integrated frameworks could offer innovative contributions to the clinical women's cancers community, since answers to clinical questions cannot always be reached with contemporary clinical and experimental tools. Here, we recapitulate clinically known data regarding the progression and treatment of the breast and ovarian cancers. We compare and contrast the two malignancies whenever possible, in order to emphasize areas where substantial contributions could be made by clinically inspired and validated mathematical modeling. We show how current paradigms in the mathematical oncology community focusing on the two malignancies do not make comprehensive use of, nor substantially reflect existing clinical data, and we highlight the modeling areas in most critical need of clinical data integration. We emphasize that the primary goal of any mathematical study of women's cancers should be to address clinically relevant questions. PMID:27259061

  9. Early mathematics development and later achievement: Further evidence

    NASA Astrophysics Data System (ADS)

    Aubrey, Carol; Godfrey, Ray; Dahl, Sarah

    2006-05-01

    There is a growing international recognition of the importance of the early years of schooling as well as an interest being shown in the relationship of early education to later achievement. This article focuses on a cohort of English pupils who have been tracked through primary school during the first five years of the new National Numeracy Strategy. It reports a limited longitudinal study of young children's early mathematical development, initially within three testing cycles: at the mid-point and towards the end of their reception year (at five years-of-age) and again at the mid-point of Year 1 (at six years-ofage). These cycles were located within the broader context of progress through to the end of Key Stage 1 (at seven years) and Key Stage 2 (at eleven years) on the basis of national standardised assessment tests (SATs). Results showed that children who bring into school early mathematical knowledge do appear to be advantaged in terms of their mathematical progress through primary school. Numerical attainment increases in importance across the primary years and practical problem solving remains an important element of this. This finding is significant given the current emphasis on numerical calculation in the English curriculum. It is concluded that without active intervention, it is likely that children with little mathematical knowledge at the beginning of formal schooling will remain low achievers throughout their primary years and, probably, beyond.

  10. The challenge of computer mathematics.

    PubMed

    Barendregt, Henk; Wiedijk, Freek

    2005-10-15

    Progress in the foundations of mathematics has made it possible to formulate all thinkable mathematical concepts, algorithms and proofs in one language and in an impeccable way. This is not in spite of, but partially based on the famous results of Gödel and Turing. In this way statements are about mathematical objects and algorithms, proofs show the correctness of statements and computations, and computations are dealing with objects and proofs. Interactive computer systems for a full integration of defining, computing and proving are based on this. The human defines concepts, constructs algorithms and provides proofs, while the machine checks that the definitions are well formed and the proofs and computations are correct. Results formalized so far demonstrate the feasibility of this 'computer mathematics'. Also there are very good applications. The challenge is to make the systems more mathematician-friendly, by building libraries and tools. The eventual goal is to help humans to learn, develop, communicate, referee and apply mathematics.

  11. Mathematical modelling as a proof of concept for MPNs as a human inflammation model for cancer development.

    PubMed

    Andersen, Morten; Sajid, Zamra; Pedersen, Rasmus K; Gudmand-Hoeyer, Johanne; Ellervik, Christina; Skov, Vibe; Kjær, Lasse; Pallisgaard, Niels; Kruse, Torben A; Thomassen, Mads; Troelsen, Jesper; Hasselbalch, Hans Carl; Ottesen, Johnny T

    2017-01-01

    The chronic Philadelphia-negative myeloproliferative neoplasms (MPNs) are acquired stem cell neoplasms which ultimately may transform to acute myelogenous leukemia. Most recently, chronic inflammation has been described as an important factor for the development and progression of MPNs in the biological continuum from early cancer stage to the advanced myelofibrosis stage, the MPNs being described as "A Human Inflammation Model for Cancer Development". This novel concept has been built upon clinical, experimental, genomic, immunological and not least epidemiological studies. Only a few studies have described the development of MPNs by mathematical models, and none have addressed the role of inflammation for clonal evolution and disease progression. Herein, we aim at using mathematical modelling to substantiate the concept of chronic inflammation as an important trigger and driver of MPNs.The basics of the model describe the proliferation from stem cells to mature cells including mutations of healthy stem cells to become malignant stem cells. We include a simple inflammatory coupling coping with cell death and affecting the basic model beneath. First, we describe the system without feedbacks or regulatory interactions. Next, we introduce inflammatory feedback into the system. Finally, we include other feedbacks and regulatory interactions forming the inflammatory-MPN model. Using mathematical modeling, we add further proof to the concept that chronic inflammation may be both a trigger of clonal evolution and an important driving force for MPN disease progression. Our findings support intervention at the earliest stage of cancer development to target the malignant clone and dampen concomitant inflammation.

  12. Two-Way Bilingual Education: A Progress Report on the Amigos Program. Research Report: 7.

    ERIC Educational Resources Information Center

    Cazabon, Mary; And Others

    The progress report on the Amigos two-way bilingual education program in the Cambridge (Massachusetts) public schools describes: research on the achievement in mathematics, Spanish, and English of Amigos students and students in control/comparison groups; data gathered on students' and parents' attitudes toward bilingualism and biculturalism;…

  13. Assessing Pupils' Progress

    ERIC Educational Resources Information Center

    Ollerton, Mike

    2010-01-01

    In this article, the author explores what Assessing Pupils' Progress (APP) is about. He contends that the predilection for testing is a catastrophe as far as the teaching and learning of mathematics is concerned; it is an outcome of the drive for collecting so-called "data" on pupils. What those people, who should know better, either choose to…

  14. 34 CFR 200.20 - Making adequate yearly progress.

    Code of Federal Regulations, 2014 CFR

    2014-07-01

    ... adequate yearly progress. A school or LEA makes AYP if it complies with paragraph (c) and with either paragraph (a) or (b) of this section separately in reading/language arts and in mathematics. (a)(1) A school... school or LEA, respectively, meets or exceeds the State's other academic indicators under § 200.19. (2...

  15. 34 CFR 200.20 - Making adequate yearly progress.

    Code of Federal Regulations, 2013 CFR

    2013-07-01

    ... adequate yearly progress. A school or LEA makes AYP if it complies with paragraph (c) and with either paragraph (a) or (b) of this section separately in reading/language arts and in mathematics. (a)(1) A school... school or LEA, respectively, meets or exceeds the State's other academic indicators under § 200.19. (2...

  16. 34 CFR 200.20 - Making adequate yearly progress.

    Code of Federal Regulations, 2012 CFR

    2012-07-01

    ... adequate yearly progress. A school or LEA makes AYP if it complies with paragraph (c) and with either paragraph (a) or (b) of this section separately in reading/language arts and in mathematics. (a)(1) A school... school or LEA, respectively, meets or exceeds the State's other academic indicators under § 200.19. (2...

  17. 34 CFR 200.20 - Making adequate yearly progress.

    Code of Federal Regulations, 2011 CFR

    2011-07-01

    ... adequate yearly progress. A school or LEA makes AYP if it complies with paragraph (c) and with either paragraph (a) or (b) of this section separately in reading/language arts and in mathematics. (a)(1) A school... school or LEA, respectively, meets or exceeds the State's other academic indicators under § 200.19. (2...

  18. Monitoring Progress toward Successful K-12 STEM Education: A Nation Advancing?

    ERIC Educational Resources Information Center

    National Academies Press, 2013

    2013-01-01

    Following a 2011 report by the National Research Council (NRC) on successful K-12 education in science, technology, engineering, and mathematics (STEM), Congress asked the National Science Foundation to identify methods for tracking progress toward the report's recommendations. In response, the NRC convened the Committee on an Evaluation Framework…

  19. Students' Progression of Understanding the Matter Concept from Elementary to High School

    ERIC Educational Resources Information Center

    Liu, Xiufeng; Lesniak, Kathleen M.

    2005-01-01

    Using the US national sample from the Third International Mathematics and Science Study (TIMSS) and the Rasch modeling method, this study identified the conceptual progression sequence of various matter concept aspects, and compared students' latent abilities against the sequence. We found that the four matter aspects, i.e. conservation, physical…

  20. The Upward Progress of Unusually Good Ideas in a Four-Tier Hierarchy.

    ERIC Educational Resources Information Center

    Dunning, Robert Scott; Sincoff, Michael Z.

    In long established research organizations, it is necessary to safeguard good research ideas originating at lower organizational levels. The upward progress of unusually good ideas in an organizational hierarchy may be compared with that of ordinary ideas by means of a mathematical model, with the assumption that ideas follow a Poisson…

  1. Shifting more than the goal posts: developing classroom norms of inquiry-based learning in mathematics

    NASA Astrophysics Data System (ADS)

    Makar, Katie; Fielding-Wells, Jill

    2018-03-01

    The 3-year study described in this paper aims to create new knowledge about inquiry norms in primary mathematics classrooms. Mathematical inquiry addresses complex problems that contain ambiguities, yet classroom environments often do not adopt norms that promote curiosity, risk-taking and negotiation needed to productively engage with complex problems. Little is known about how teachers and students initiate, develop and maintain norms of mathematical inquiry in primary classrooms. The research question guiding this study is, "How do classroom norms develop that facilitate student learning in primary classrooms which practice mathematical inquiry?" The project will (1) analyse a video archive of inquiry lessons to identify signature practices that enhance productive classroom norms of mathematical inquiry and facilitate learning, (2) engage expert inquiry teachers to collaborate to identify and design strategies for assisting teachers to develop and sustain norms over time that are conducive to mathematical inquiry and (3) support and study teachers new to mathematical inquiry adopting these practices in their classrooms. Anticipated outcomes include identification and illustration of classroom norms of mathematical inquiry, signature practices linked to these norms and case studies of primary teachers' progressive development of classroom norms of mathematical inquiry and how they facilitate learning.

  2. Mathematics--An Approach for Slow Learners. Section 2--The Beginnings of Number. Notes for Teachers of Mathematics, Volume 6.

    ERIC Educational Resources Information Center

    Leeds Education Authority (England). Mathematics Curriculum Study Group.

    This is one of a series of monographs developed by teachers in elementary schools near Leeds, England. This document focuses on early instruction of number concepts. It is considered essential that these ideas be presented first in concrete form. The working group attempted to provide a detailed progression in the developmental stages leading to…

  3. Opportunity To Learn: Instructional Practices in Eighth-Grade Mathematics: Data from the 1990 NAEP Trial State Assessment. CPRE Research Report Series Report #32.

    ERIC Educational Resources Information Center

    Goertz, Margaret E.

    This paper uses data from the 1990 National Assessment of Educational Progress (NAEP) Trial State Assessment to describe educational opportunities for students in eighth-grade mathematics in 1990. The first section of the paper summarizes the methodology used here and in the 1990 NAEP Trial State Assessment. The second section summarizes findings…

  4. Mathematics Evaluation Procedures K-2. For Use by Teachers With Children in Years K-4.

    ERIC Educational Resources Information Center

    Australian Council for Educational Research, Hawthorn.

    This book was written in response to a need expressed by Infant's Mistresses in the North Sydney Region of the New South Wales Department of Education. They felt there was a need to evaluate children's progress in mathematics in order to diagnose the causes of individual failures, and they discovered there was no readily available information on…

  5. In Service Training of Head Start Teachers to Overcome Early Risks of Mathematics Failure: The Mathstaar Program

    ERIC Educational Resources Information Center

    Geist, Eugene A.; Geist, Kamile

    2009-01-01

    This action research project is designed as a music-based intervention to address and overcome some of the risk factors for low achievement in mathematics that research has linked to poverty level. The National Assessment of Educational Progress found that children who are eligible for school lunch programs in 4th grade score on average 13 points…

  6. Not just a theory--the utility of mathematical models in evolutionary biology.

    PubMed

    Servedio, Maria R; Brandvain, Yaniv; Dhole, Sumit; Fitzpatrick, Courtney L; Goldberg, Emma E; Stern, Caitlin A; Van Cleve, Jeremy; Yeh, D Justin

    2014-12-01

    Progress in science often begins with verbal hypotheses meant to explain why certain biological phenomena exist. An important purpose of mathematical models in evolutionary research, as in many other fields, is to act as “proof-of-concept” tests of the logic in verbal explanations, paralleling the way in which empirical data are used to test hypotheses. Because not all subfields of biology use mathematics for this purpose, misunderstandings of the function of proof-of-concept modeling are common. In the hope of facilitating communication, we discuss the role of proof-of-concept modeling in evolutionary biology.

  7. Models of Pilot Behavior and Their Use to Evaluate the State of Pilot Training

    NASA Astrophysics Data System (ADS)

    Jirgl, Miroslav; Jalovecky, Rudolf; Bradac, Zdenek

    2016-07-01

    This article discusses the possibilities of obtaining new information related to human behavior, namely the changes or progressive development of pilots' abilities during training. The main assumption is that a pilot's ability can be evaluated based on a corresponding behavioral model whose parameters are estimated using mathematical identification procedures. The mean values of the identified parameters are obtained via statistical methods. These parameters are then monitored and their changes evaluated. In this context, the paper introduces and examines relevant mathematical models of human (pilot) behavior, the pilot-aircraft interaction, and an example of the mathematical analysis.

  8. Research in progress in applied mathematics, numerical analysis, fluid mechanics, and computer science

    NASA Technical Reports Server (NTRS)

    1994-01-01

    This report summarizes research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, fluid mechanics, and computer science during the period October 1, 1993 through March 31, 1994. The major categories of the current ICASE research program are: (1) applied and numerical mathematics, including numerical analysis and algorithm development; (2) theoretical and computational research in fluid mechanics in selected areas of interest to LaRC, including acoustics and combustion; (3) experimental research in transition and turbulence and aerodynamics involving LaRC facilities and scientists; and (4) computer science.

  9. Caring teaching practices in multiethnic mathematics classrooms: attending to health and well-being

    NASA Astrophysics Data System (ADS)

    Averill, Robin

    2012-06-01

    Factors that contribute to strong teacher-student relationships are vital to understand because of the influence these relationships have on achievement and motivation, particularly for minority group students. This article draws from a substantial quantity of empirical data, grounded in a wide theoretical and cultural base, regarding aspects of caring teacher practice to discuss mathematics teacher behaviours in relation to an existing model of health and well-being that encompasses cognitive, social, spiritual, and physical dimensions. Drawing from 100 Year 10 mathematics lesson observations involving six teachers and their classes across three urban schools, evidence emerged that for many indigenous (Māori), New Zealand Pacific, and New Zealand European students, caring teacher behaviours important for student engagement and achievement both include, and range beyond, traditional teaching practices. Examples include capitalising on student reactions and shared endeavours within the context of mathematics learning, expecting mathematical progress, showing respect for students and for their mathematics learning, being explicit about practice and expectations, incorporating one-to-one interactions, making opportunities within mathematics learning for sharing personal identities, and incorporating movement. This research illustrates how mathematics educators can attend to the specific and holistic mathematical learning needs of their students, including those often marginalised.

  10. Reporting Florida's Annual Measurable Objectives (AMOs) in Compliance with ESEA Flexibility Requirements: Guide to Calculations for 2013-14

    ERIC Educational Resources Information Center

    Florida Department of Education, 2014

    2014-01-01

    This Annual Measurable Objective (AMO) is designed to keep Florida moving forward toward national and international competitiveness. Florida will compare its National Assessment of Educational Progress (NAEP) scores to those of the top five states and its Trends in International Mathematics and Science Study (TIMSS), Progress in International…

  11. The Achievement Progress of English Learner Students in Nevada. REL 2016-154

    ERIC Educational Resources Information Center

    Haas, Eric; Huang, Min; Tran, Loan; Yu, Airong

    2016-01-01

    The purpose of this study was to examine the cumulative progress of English learner students in Nevada in English language proficiency (ELP) and in academic content knowledge in both reading and mathematics. This study identified students in grades kindergarten, 3, and 6 who were designated as English learner students in 2006/07 and examined their…

  12. Technical Adequacy of Early Numeracy Curriculum-Based Progress Monitoring Measures for Kindergarten and First-Grade Students

    ERIC Educational Resources Information Center

    Hampton, David D.; Lembke, Erica S.; Lee, Young-Sun; Pappas, Sandra; Chiong, Cynthia; Ginsburg, Herbert P.

    2012-01-01

    The purpose of this study was to examine six early numeracy measures used to monitor the mathematics progress of kindergarten and first-grade students. Seventy-one kindergarten students and 75 first-grade students were administered the measures each week. Delayed-alternate form reliability was adequate for instructional decision making on some…

  13. Students' Progress throughout Examination Process as a Markov Chain

    ERIC Educational Resources Information Center

    Hlavatý, Robert; Dömeová, Ludmila

    2014-01-01

    The paper is focused on students of Mathematical methods in economics at the Czech university of life sciences (CULS) in Prague. The idea is to create a model of students' progress throughout the whole course using the Markov chain approach. Each student has to go through various stages of the course requirements where his success depends on the…

  14. Learning Problems in Kindergarten Students with Extremely Preterm Birth

    PubMed Central

    Taylor, H. Gerry; Klein, Nancy; Anselmo, Marcia G.; Minich, Nori; Espy, Kimberly A.; Hack, Maureen

    2012-01-01

    Objective To assess learning problems in extremely preterm children in kindergarten and identify risk factors. Design Cohort study. Setting Children’s hospital. Participants A cohort of extremely preterm children born January 2001 – December 2003 (n=148), defined as <28 weeks gestation and/or <1000 g birth weight, and term-born normal birth weight classmate controls (n=111). Main Interventions The children were enrolled during their first year in kindergarten and assessed on measures of learning progress. Main Outcome Measures Achievement testing, teacher ratings of learning progress, and individual educational assistance. Results The extremely preterm children had lower mean standard scores than controls on tests of spelling (8.52 points, 95% CI: 4.58, 12.46) and applied mathematics (11.02 points, 95% CI: 6.76, 15.28). They also had higher rates of substandard learning progress by teacher report in written language (OR = 4.23, 95% CI: 2.32, 7.73) and mathematics (OR = 7.08, 95% CI: 2.79, 17.95). Group differences on mathematics achievement and in teacher ratings of learning progress were significant even in children without neurosensory deficits or low global cognitive ability. Neonatal risk factors, early childhood neurodevelopmental impairment, and socioeconomic status predicted learning problems in extremely preterm children, yet many of the children with problems were not in a special education program. Conclusion Learning problems in extremely preterm children are evident in kindergarten and are associated with neonatal and early childhood risk factors. The findings support efforts to provide more extensive monitoring and interventions both prior to and during the first year in school. PMID:21893648

  15. Spreaders and Sponges define metastasis in lung cancer: A Markov chain Monte Carlo Mathematical Model

    PubMed Central

    Newton, Paul K.; Mason, Jeremy; Bethel, Kelly; Bazhenova, Lyudmila; Nieva, Jorge; Norton, Larry; Kuhn, Peter

    2013-01-01

    The classic view of metastatic cancer progression is that it is a unidirectional process initiated at the primary tumor site, progressing to variably distant metastatic sites in a fairly predictable, though not perfectly understood, fashion. A Markov chain Monte Carlo mathematical approach can determine a pathway diagram that classifies metastatic tumors as ‘spreaders’ or ‘sponges’ and orders the timescales of progression from site to site. In light of recent experimental evidence highlighting the potential significance of self-seeding of primary tumors, we use a Markov chain Monte Carlo (MCMC) approach, based on large autopsy data sets, to quantify the stochastic, systemic, and often multi-directional aspects of cancer progression. We quantify three types of multi-directional mechanisms of progression: (i) self-seeding of the primary tumor; (ii) re-seeding of the primary tumor from a metastatic site (primary re-seeding); and (iii) re-seeding of metastatic tumors (metastasis re-seeding). The model shows that the combined characteristics of the primary and the first metastatic site to which it spreads largely determine the future pathways and timescales of systemic disease. For lung cancer, the main ‘spreaders’ of systemic disease are the adrenal gland and kidney, whereas the main ‘sponges’ are regional lymph nodes, liver, and bone. Lung is a significant self-seeder, although it is a ‘sponge’ site with respect to progression characteristics. PMID:23447576

  16. The Solar Cycle and, How Do We Know What We Know?

    NASA Technical Reports Server (NTRS)

    Adams, Mitzi

    2013-01-01

    Through the use of observations, mathematics, mathematical tools (such as graphs), inference, testing, and prediction we have gathered evidence that there are sunspots, a solar cycle, and have begun to understand more about our star, the Sun. We are making progress in understanding the cause of the solar cycle. We expect solar cycle 24 to peak soon. Cycle 24 will be the smallest cycle in 100 years.

  17. The Nation's Report Card[TM]: Mathematics 2007 Performance of Public School Students in Puerto Rico--Focus on the Content Areas. NCES 2009-451

    ERIC Educational Resources Information Center

    Dion, G. S.; Kuang, M.; Dresher, A. R.

    2008-01-01

    In 2007, public school students in Puerto Rico at grades 4 and 8 participated in a Spanish-language version of the National Assessment of Educational Progress (NAEP) in mathematics. A representative sample of approximately 2,800 students from 100 public schools was assessed at each grade. This report contains performance results on NAEP…

  18. Mathematical formulation and numerical simulation of bird flu infection process within a poultry farm

    NASA Astrophysics Data System (ADS)

    Putri, Arrival Rince; Nova, Tertia Delia; Watanabe, M.

    2016-02-01

    Bird flu infection processes within a poultry farm are formulated mathematically. A spatial effect is taken into account for the virus concentration with a diffusive term. An infection process is represented in terms of a traveling wave solutions. For a small removal rate, a singular perturbation analysis lead to existence of traveling wave solutions, that correspond to progressive infection in one direction.

  19. An Analysis of Mathematics Achievement Disparities between Black and White Students and Socioeconomically Disadvantaged and Advantaged Students across Content Strands by Elementary and Middle School Level in a Diverse Virginia School District

    ERIC Educational Resources Information Center

    Lewis, Benjamin L.

    2013-01-01

    Student achievement gaps between Black and White students, and socioeconomically disadvantaged and advantaged students, have been observed and formally documented since the National Assessment of Educational Progress (NAEP) began in the 1970s. In particular, the mathematics achievement gap between these historically disadvantaged populations has…

  20. Academic Growth Trajectories of ELLs in NAEP Data: The Case of Fourth- and Eighth-Grade ELLs and Non-ELLs on Mathematics and Reading Tests

    ERIC Educational Resources Information Center

    Polat, Nihat; Zarecky-Hodge, Ashley; Schreiber, James B.

    2016-01-01

    Utilizing the National Assessment of Educational Progress (NAEP) data, this study examined (1) how fourth and eighth-grade ELLs' mathematics and reading scores on national tests compared to their non-ELL peers' scores over the testing period between 2003 and 2011, and (2) if gender and ethnicity contributed to variation in the growth patterns…

  1. Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (25th, Utrecht, The Netherlands, July 12-17, 2001). Volumes 1-4.

    ERIC Educational Resources Information Center

    van den Heuvel-Panhuizen, Marja, Ed.

    This document contains the proceedings of the 25th annual Conference of the International Group for the Psychology of Mathematics Education (PME). It features plenary lectures, research forums, discussion groups, working sessions, short oral communications, and poster presentations. Papers in Volume 1 include: (1) "The P in PME: Progress and…

  2. Mathematical Learning Disabilities in Special Populations: Phenotypic Variation and Cross-Disorder Comparisons

    PubMed Central

    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

  3. A Self-paced Course in Pharmaceutical Mathematics Using Web-based Databases

    PubMed Central

    Bourne, David W.A.; Davison, A. Machelle

    2006-01-01

    Objective To transform a pharmaceutical mathematics course to a self-paced instructional format using Web-accessed databases for student practice and examination preparation. Design The existing pharmaceutical mathematics course was modified from a lecture style with midsemester and final examinations to a self-paced format in which students had multiple opportunities to complete online, nongraded self-assessments as well as in-class module examinations. Assessment Grades and course evaluations were compared between students taking the class in lecture format with midsemester and final examinations and students taking the class in the self-paced instructional format. The number of times it took students to pass examinations was also analyzed. Conclusions Based on instructor assessment and student feedback, the course succeeded in giving students who were proficient in pharmaceutical mathematics a chance to progress quickly and students who were less skillful the opportunity to receive instruction at their own pace and develop mathematical competence. PMID:17149445

  4. A self-paced course in pharmaceutical mathematics using web-based databases.

    PubMed

    Bourne, David W A; Davison, A Machelle

    2006-10-15

    To transform a pharmaceutical mathematics course to a self-paced instructional format using Web-accessed databases for student practice and examination preparation. The existing pharmaceutical mathematics course was modified from a lecture style with midsemester and final examinations to a self-paced format in which students had multiple opportunities to complete online, nongraded self-assessments as well as in-class module examinations. Grades and course evaluations were compared between students taking the class in lecture format with midsemester and final examinations and students taking the class in the self-paced instructional format. The number of times it took students to pass examinations was also analyzed. Based on instructor assessment and student feedback, the course succeeded in giving students who were proficient in pharmaceutical mathematics a chance to progress quickly and students who were less skillful the opportunity to receive instruction at their own pace and develop mathematical competence.

  5. Will the digital computer transform classical mathematics?

    PubMed

    Rotman, Brian

    2003-08-15

    Mathematics and machines have influenced each other for millennia. The advent of the digital computer introduced a powerfully new element that promises to transform the relation between them. This paper outlines the thesis that the effect of the digital computer on mathematics, already widespread, is likely to be radical and far-reaching. To articulate this claim, an abstract model of doing mathematics is introduced based on a triad of actors of which one, the 'agent', corresponds to the function performed by the computer. The model is used to frame two sorts of transformation. The first is pragmatic and involves the alterations and progressive colonization of the content and methods of enquiry of various mathematical fields brought about by digital methods. The second is conceptual and concerns a fundamental antagonism between the infinity enshrined in classical mathematics and physics (continuity, real numbers, asymptotic definitions) and the inherently real and material limit of processes associated with digital computation. An example which lies in the intersection of classical mathematics and computer science, the P=NP problem, is analysed in the light of this latter issue.

  6. Construct Validity and Measurement Invariance of Computerized Adaptive Testing: Application to Measures of Academic Progress (MAP) Using Confirmatory Factor Analysis

    ERIC Educational Resources Information Center

    Wang, Shudong; McCall, Marty; Jiao, Hong; Harris, Gregg

    2012-01-01

    The purposes of this study are twofold. First, to investigate the construct or factorial structure of a set of Reading and Mathematics computerized adaptive tests (CAT), "Measures of Academic Progress" (MAP), given in different states at different grades and academic terms. The second purpose is to investigate the invariance of test…

  7. The Achievement Progress of English Learner Students in Utah. REL 2016-155

    ERIC Educational Resources Information Center

    Haas, Eric; Huang, Min; Tran, Loan; Yu, Airong

    2016-01-01

    The purpose of this study was to examine the cumulative progress of English learner students in Utah in English language proficiency (ELP) and in academic content knowledge in both English language arts (ELA) and mathematics. This study identified students in grades kindergarten, 3, and 6 who were designated as English learner students in 2006/07…

  8. Straight A's: Public Education Policy and Progress. Volume 10, Number 23

    ERIC Educational Resources Information Center

    Alliance for Excellent Education, 2010

    2010-01-01

    "Straight A's: Public Education Policy and Progress" is a biweekly newsletter that focuses on education news and events both in Washington, DC and around the country. The following articles are included in this issue: (1) Getting Back to Average: American Fifteen-Year-Olds Rank 14th in Reading, 17th in Science, and 25th in Mathematics,…

  9. A Learning Progression for Geometrical Measurement in One, Two, and Three Dimensions. Research Report. ETS RR-17-55

    ERIC Educational Resources Information Center

    Kim, Eun Mi; Haberstroh, Jeff; Peters, Stephanie; Howell, Heather; Olah, Leslie Nabors

    2017-01-01

    As part of the CBAL® learning and assessment initiative in mathematics, we developed a hypothesized learning progression (LP) for geometrical measurement in 1, 2, and 3 dimensions based on a synthesis of empirical literature in this field and through expert review. The geometrical measurement LP is intended to represent a developmental progression…

  10. Learning Trajectories in Mathematics: A Foundation for Standards, Curriculum, Assessment, and Instruction. CPRE Research Report # RR-68

    ERIC Educational Resources Information Center

    Daro, Phil; Mosher, Frederic A.; Corcoran, Tom

    2011-01-01

    The concept of learning progressions offers one promising approach to developing the knowledge needed to define the "track" that students may be on, or should be on Learning progressions can inform teachers about what to expect from their students. They provide an empirical basis for choices about when to teach what to whom Learning…

  11. The National Assessment of Educational Progress: Changes in Reporting and Dissemination for 1992 and Beyond.

    ERIC Educational Resources Information Center

    Fromboluti, Carol Sue

    Changes that have been made in reporting and disseminating information from the National Assessment of Educational Progress are discussed, focusing on those changes brought about by the first Trial State Assessment (TSA). The TSA collected data on the mathematics performance of students in grades 4, 8, and 12 in public and private schools in 40…

  12. Celestial mechanics during the last two decades

    NASA Technical Reports Server (NTRS)

    Szebehely, V.

    1978-01-01

    The unprecedented progress in celestial mechanics (orbital mechanics, astrodynamics, space dynamics) is reviewed from 1957 to date. The engineering, astronomical and mathematical aspects are synthesized. The measuring and computational techniques developed parallel with the theoretical advances are outlined. Major unsolved problem areas are listed with proposed approaches for their solutions. Extrapolations and predictions of the progress for the future conclude the paper.

  13. The Mathematics Assessment Resource Services (MARS) Toolkit: Resources for Leaders in Mathematics Education--Lessons Learned from an Experiment to Develop Tools to Support Change Agents

    ERIC Educational Resources Information Center

    St. John, Mark; Regan, Mary; Tambe, Pamela; Heenan, Barbara

    2007-01-01

    The purpose of this report is two-fold. First, it is intended to describe the work and progress of the "MARS Toolkit for Change" project. Toward that end the report provides documentation and portrayal of the project from an outside perspective. The second and primary purpose of the report is to illuminate the lessons learned about the overall…

  14. Pre-service Mathematics Teachers' Knowledge of History of Mathematics and Their Attitudes and Beliefs Towards Using History of Mathematics in Mathematics Education

    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.

  15. Mathematical études: embedding opportunities for developing procedural fluency within rich mathematical contexts

    NASA Astrophysics Data System (ADS)

    Foster, Colin

    2013-07-01

    In a high-stakes assessment culture, it is clearly important that learners of mathematics develop the necessary fluency and confidence to perform well on the specific, narrowly defined techniques that will be tested. However, an overemphasis on the training of piecemeal mathematical skills at the expense of more independent engagement with richer, multifaceted tasks risks devaluing the subject and failing to give learners an authentic and enjoyable experience of being a mathematician. Thus, there is a pressing need for mathematical tasks which embed the practice of essential techniques within a richer, exploratory and investigative context. Such tasks can be justified to school management or to more traditional mathematics teachers as vital practice of important skills; at the same time, they give scope to progressive teachers who wish to work in more exploratory ways. This paper draws on the notion of a musical étude to develop a powerful and versatile approach in which these apparently contradictory aspects of teaching mathematics can be harmoniously combined. I illustrate the tactic in three central areas of the high-school mathematics curriculum: plotting Cartesian coordinates, solving linear equations and performing enlargements. In each case, extensive practice of important procedures takes place alongside more thoughtful and mathematically creative activity.

  16. [Mathematic Model for Prediction of Liver Fibrosis Progression Rate in Patients with Chronic Hepatitis C Based on Combination of Genomic Markers].

    PubMed

    Samokhodskaia, L M; Starostina, E E; Yarovaya, E B; Krasnova, T N; Mukhin, N A; Tkachuk, V A; Sadovnichy, V A

    2015-01-01

    To evaluate clinical significance of different combinations of gene polymorphisms IL-1b, IL-6, IL-10, TNF, HFE, TGF-b, ATR1, N0S3894, CYBA, AGT, MTHFR, FII, FV, FVII, FXIII, ITGA2, ITGB3, FBG, PAI and their prognostic value for prediction of liver fibrosis progression rate in patients with chronic hepatitis C (CHC). 118 patients with CHC were divided into "fast" and "slow" (fibrosis rate progression ≥ 0.13 and < 0.13 fibrosis units/yr; n = 64 and n = 54) fibrosis groups. Gene polymorphisms were determined. Statistical analysis was performed using Statistica 10. A allele (p = 0.012) and genotype AA (p = 0.024) of AGT G-6T gene, as well as T allele (p = 0.013) and MT+TT genotypes (p = 0.005) of AGT 235 M/T gene were significantly more common in "fast fibrosers" than in "slow fibrosers". Patients with genotype TT of CYBA 242 C/T had a higher fibrosis progression rate than patients with CC+CT genotype (p = 0.02). Our analysis showed a protective effect of TTgenotype of ITGA2 807 C/T on fibrosis progression rate (p = 0.03). There was a trend (p < 0.15) to higher fibrosis progression rate in patients with mutant alleles and genotypes of TGFb +915 G/C, FXIII 103 G/T, PAI-675 5G/4G genes. Other gene polymorphisms were not associated with enhanced liver fibrosis. To build a mathematical modelfor prediction of liverfibrosis progression rate we performed coding with scores for genotypes and virus genotype. Total score correlated with the fibrosis progression rate (R = 0.39, p = 0.000). Determination of genetic profile of the patient and virus genotype allows to predict the course of CHC.

  17. Increasing Racial Isolation and Test Score Gaps in Mathematics: A 30-Year Perspective

    ERIC Educational Resources Information Center

    Berends, Mark; Penaloza, Roberto V.

    2010-01-01

    Background/Context: Although there has been progress in closing the test score gaps among student groups over past decades, that progress has stalled. Many researchers have speculated why the test score gaps closed between the early 1970s and the early 1990s, but only a few have been able to empirically study how changes in school factors and…

  18. 'Basic' Level Tough Going for Urban Pupils: Still, Progress under Way in Some School Districts, Especially on Math NAEP

    ERIC Educational Resources Information Center

    Manzo, Kathleen Kennedy

    2005-01-01

    This paper reports the results of a special urban study of the 2005 National Assessment of Education Progress which indicates that city school districts may be seeing some payoff from years of work to improve mathematics instruction. However, similar initiatives to raise reading achievement have not led to significant gains. While, most of the 11…

  19. Matematicas Para El Primer Ciclo Secundario, Volumen II (Parte 2). Traduccion Preliminar de la Edicion en Ingles Revisada. (Mathematics for Junior High School, Volume II, Part 2. Preliminary Translation of the Revised English Edition).

    ERIC Educational Resources Information Center

    Anderson, R. D.; And Others

    This is part two of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include real numbers, similar triangles, variation, polyhedrons,…

  20. Early identification and interventions for students with mathematics difficulties.

    PubMed

    Gersten, Russell; Jordan, Nancy C; Flojo, Jonathan R

    2005-01-01

    This article highlights key findings from the small body of research on mathematics difficulties (MD) relevant to early identification and early intervention. The research demonstrates that (a) for many children, mathematics difficulties are not stable over time; (b) the presence of reading difficulties seems related to slower progress in many aspects of mathematics; (c) almost all students with MD demonstrate problems with accurate and automatic retrieval of basic arithmetic combinations, such as 6 + 3. The following measures appear to be valid and reliable indicators of potential MD in kindergartners: (a) magnitude comparison (i.e., knowing which digit in a pair is larger), (b) sophistication of counting strategies, (c) fluent identification of numbers, and (d) working memory (as evidenced by reverse digit span). These are discussed in terms of the components of number sense. Implications for early intervention strategies are explored.

  1. Embedded Mathematics in Chemistry: A Case Study of Students' Attitudes and Mastery

    NASA Astrophysics Data System (ADS)

    Preininger, Anita M.

    2017-02-01

    There are many factors that shape students' attitudes toward science, technology, engineering and mathematics. This exploratory study of high school students examined the effect of enriching chemistry with math on chemistry students' attitudes toward math and careers involving math. To measure student attitudes, a survey was administered before and after the 18-week chemistry class; results from the chemistry class were compared to survey results from students in an elective science class that did not emphasize mathematics. At the end of the 18-week period, only the chemistry students exhibited more positive views toward their abilities in mathematics and careers that involve mathematics, as compared to their views at the outset of the course. To ensure that chemistry mastery was not hindered by the additional emphasis on math, and that mastery on state end-of-course examinations reflected knowledge acquired during the math-intensive chemistry class, a chemistry progress test was administered at the start and end of the term. This exploratory study suggests that emphasizing mathematical approaches in chemistry may positively influence attitudes toward math in general, as well as foster mastery of chemistry content.

  2. Early math matters: kindergarten number competence and later mathematics outcomes.

    PubMed

    Jordan, Nancy C; Kaplan, David; Ramineni, Chaitanya; Locuniak, Maria N

    2009-05-01

    Children's number competencies over 6 time points, from the beginning of kindergarten to the middle of 1st grade, were examined in relation to their mathematics achievement over 5 later time points, from the end of 1st grade to the end of 3rd grade. The relation between early number competence and mathematics achievement was strong and significant throughout the study period. A sequential process growth curve model showed that kindergarten number competence predicted rate of growth in mathematics achievement between 1st and 3rd grades as well as achievement level through 3rd grade. Further, rate of growth in early number competence predicted mathematics performance level in 3rd grade. Although low-income children performed more poorly than their middle-income counterparts in mathematics achievement and progressed at a slower rate, their performance and growth were mediated through relatively weak kindergarten number competence. Similarly, the better performance and faster growth of children who entered kindergarten at an older age were explained by kindergarten number competence. The findings show the importance of early number competence for setting children's learning trajectories in elementary school mathematics. Copyright 2009 APA, all rights reserved

  3. Early Math Matters: Kindergarten Number Competence and Later Mathematics Outcomes

    PubMed Central

    Jordan, Nancy C.; Kaplan, David; Ramineni, Chaitanya; Locuniak, Maria N.

    2009-01-01

    Children’s number competencies over 6 time points, from the beginning of kindergarten to the middle of 1st grade, were examined in relation to their mathematics achievement over 5 later time points, from the end of 1st grade to the end of 3rd grade. The relation between early number competence and mathematics achievement was strong and significant throughout the study period. A sequential process growth curve model showed that kindergarten number competence predicted rate of growth in mathematics achievement between 1st and 3rd grades as well as achievement level through 3rd grade. Further, rate of growth in early number competence predicted mathematics performance level in 3rd grade. Although low-income children performed more poorly than their middle-income counterparts in mathematics achievement and progressed at a slower rate, their performance and growth were mediated through relatively weak kindergarten number competence. Similarly, the better performance and faster growth of children who entered kindergarten at an older age were explained by kindergarten number competence. The findings show the importance of early number competence for setting children’s learning trajectories in elementary school mathematics. PMID:19413436

  4. Summary of research in progress at ICASE

    NASA Technical Reports Server (NTRS)

    1993-01-01

    This report summarizes research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, fluid mechanics, and computer science during the period October 1, 1992 through March 31, 1993.

  5. Cooperative General Science Project-A Progress Report

    ERIC Educational Resources Information Center

    Puri, Om P.

    1971-01-01

    A two-semester program which includes topics from biological and physical sciences at the conceptual level with limited mathematics. The program utilizes multimedia and includes some history of science and science processes. (TS)

  6. Achilles and the tortoise: Some caveats to mathematical modeling in biology.

    PubMed

    Gilbert, Scott F

    2018-01-31

    Mathematical modeling has recently become a much-lauded enterprise, and many funding agencies seek to prioritize this endeavor. However, there are certain dangers associated with mathematical modeling, and knowledge of these pitfalls should also be part of a biologist's training in this set of techniques. (1) Mathematical models are limited by known science; (2) Mathematical models can tell what can happen, but not what did happen; (3) A model does not have to conform to reality, even if it is logically consistent; (4) Models abstract from reality, and sometimes what they eliminate is critically important; (5) Mathematics can present a Platonic ideal to which biologically organized matter strives, rather than a trial-and-error bumbling through evolutionary processes. This "Unity of Science" approach, which sees biology as the lowest physical science and mathematics as the highest science, is part of a Western belief system, often called the Great Chain of Being (or Scala Natura), that sees knowledge emerge as one passes from biology to chemistry to physics to mathematics, in an ascending progression of reason being purification from matter. This is also an informal model for the emergence of new life. There are now other informal models for integrating development and evolution, but each has its limitations. Copyright © 2018 Elsevier Ltd. All rights reserved.

  7. Mathematical Psychology: Prospects For The 21st Century1: A Guest Editorial

    PubMed Central

    Townsend, James T.

    2008-01-01

    The twenty-first century is certainly in progress by now, but hardly well underway. Therefore, I will take that modest elasticity in concept as a frame for this essay. This frame will serve as background for some of my hopes and gripes about contemporary psychology and mathematical psychology’s place therein. It will also act as platform for earnest, if wistful thoughts about what might have (and perhaps can still) aid us in forwarding our agenda and what I see as some of the promising avenues for the future. I loosely structure the essay into a section about mathematical psychology in the context of psychology at large and then a section devoted to prospects within mathematical psychology proper. The essay can perhaps be considered as in a similar spirit, although differing in content, to previous editorial-like reviews of general or specific aspects of mathematical psychology such as Estes (1975), Falmagne (2005), Luce (1997) that have appeared in this journal. PMID:19802342

  8. Some observations on the interdigitation of advances in medical science and mathematics.

    PubMed

    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.

  9. Matematicas Para El Primer Ciclo Secundario, Volumen II (Parte 1). Traduccion Preliminar de la Edicion en Ingles Revisada. (Mathematics for Junior High School, Volume II, Part 1. Preliminary Translation of the Revised English Edition).

    ERIC Educational Resources Information Center

    Anderson, R. D.; And Others

    This is part one of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include number line and coordinates, equations, scientific notation,…

  10. The difficult legacy of Turing's wager.

    PubMed

    Thwaites, Andrew; Soltan, Andrew; Wieser, Eric; Nimmo-Smith, Ian

    2017-08-01

    Describing the human brain in mathematical terms is an important ambition of neuroscience research, yet the challenges remain considerable. It was Alan Turing, writing in 1950, who first sought to demonstrate how time-consuming such an undertaking would be. Through analogy to the computer program, Turing argued that arriving at a complete mathematical description of the mind would take well over a thousand years. In this opinion piece, we argue that - despite seventy years of progress in the field - his arguments remain both prescient and persuasive.

  11. [Professor Jules Gavarret (1809-1890) and the application of mathematics and physics to medicine].

    PubMed

    Beyneix, A

    2001-01-01

    Professor Jules Gavarret has undertaken pretigious offices, has accumulated various titles and honours and has left an abundant bibliography about physics and chemistry of life phenomenon. To recount the career of one of the academics who were benefited the traditional medicine of the progress achieved in physical and mathematical sciences give us the opportunity of recalling one of the great Parisian personalities of 19th Century who had not been appreciated for too long.

  12. Development Of Maneuvering Autopilot For Flight Tests

    NASA Technical Reports Server (NTRS)

    Menon, P. K. A.; Walker, R. A.

    1992-01-01

    Report describes recent efforts to develop automatic control system operating under supervision of pilot and making airplane follow prescribed trajectories during flight tests. Report represents additional progress on this project. Gives background information on technology of control of test-flight trajectories; presents mathematical models of airframe, engine and command-augmentation system; focuses on mathematical modeling of maneuvers; addresses design of autopilots for maneuvers; discusses numerical simulation and evaluation of results of simulation of eight maneuvers under control of simulated autopilot; and presents summary and discussion of future work.

  13. INSERVICE EDUCATION OF HIGH SCHOOL MATEMATICS TEACHER. (REPORT OF A CONFERENCE UNDER THE JOINT AUSPICES OF THE U.S. DEPT. OF HEALTH, EDUCATION, AND WELFARE AND THE NATIONAL COUNCIL OF TEACHERS OF MATHEMATICS, WASHINGTON, MARCH 17-19,1960).

    ERIC Educational Resources Information Center

    BROWN, KENNETH E.; SNADER, DANIEL W.

    A CONFERENCE OF EDUCATORS WAS CALLED TO DEAL WITH THE NEED FOR IMPROVED HIGH SCHOOL MATHEMATICS TEACHING. SPECIFICALLY THE CONFERENCE CONSIDERED THE NEED FOR INSERVICE EDUCATION FOR TEACHING NEW IMPROVED PROGRAMS, THE KINDS OF PROGRAMS NOW IN PROGRESS, AND THE ROLE OF SCHOOL ADMINISTRATORS IN IMPLEMENTING THEM. INCLUDED ARE THE ADDRESSES AND THE…

  14. Mathematical modelling of phenotypic plasticity and conversion to a stem-cell state under hypoxia

    NASA Astrophysics Data System (ADS)

    Dhawan, Andrew; Madani Tonekaboni, Seyed Ali; Taube, Joseph H.; Hu, Stephen; Sphyris, Nathalie; Mani, Sendurai A.; Kohandel, Mohammad

    2016-02-01

    Hypoxia, or oxygen deficiency, is known to be associated with breast tumour progression, resistance to conventional therapies and poor clinical prognosis. The epithelial-mesenchymal transition (EMT) is a process that confers invasive and migratory capabilities as well as stem cell properties to carcinoma cells thus promoting metastatic progression. In this work, we examined the impact of hypoxia on EMT-associated cancer stem cell (CSC) properties, by culturing transformed human mammary epithelial cells under normoxic and hypoxic conditions, and applying in silico mathematical modelling to simulate the impact of hypoxia on the acquisition of CSC attributes and the transitions between differentiated and stem-like states. Our results indicate that both the heterogeneity and the plasticity of the transformed cell population are enhanced by exposure to hypoxia, resulting in a shift towards a more stem-like population with increased EMT features. Our findings are further reinforced by gene expression analyses demonstrating the upregulation of EMT-related genes, as well as genes associated with therapy resistance, in hypoxic cells compared to normoxic counterparts. In conclusion, we demonstrate that mathematical modelling can be used to simulate the role of hypoxia as a key contributor to the plasticity and heterogeneity of transformed human mammary epithelial cells.

  15. Mathematical modeling for Phase I cancer trials: A study of metronomic vinorelbine for advanced non-small cell lung cancer (NSCLC) and mesothelioma patients.

    PubMed

    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.

  16. A population-based study of stimulant drug treatment of ADHD and academic progress in children.

    PubMed

    Zoëga, Helga; Rothman, Kenneth J; Huybrechts, Krista F; Ólafsson, Örn; Baldursson, Gísli; Almarsdóttir, Anna B; Jónsdóttir, Sólveig; Halldórsson, Matthías; Hernández-Diaz, Sonia; Valdimarsdóttir, Unnur A

    2012-07-01

    We evaluated the hypothesis that later start of stimulant treatment of attention-deficit/hyperactivity disorder adversely affects academic progress in mathematics and language arts among 9- to 12-year-old children. We linked nationwide data from the Icelandic Medicines Registry and the Database of National Scholastic Examinations. The study population comprised 11,872 children born in 1994-1996 who took standardized tests in both fourth and seventh grade. We estimated the probability of academic decline (drop of ≥ 5.0 percentile points) according to drug exposure and timing of treatment start between examinations. To limit confounding by indication, we concentrated on children who started treatment either early or later, but at some point between fourth-grade and seventh-grade standardized tests. In contrast with nonmedicated children, children starting stimulant treatment between their fourth- and seventh-grade tests were more likely to decline in test performance. The crude probability of academic decline was 72.9% in mathematics and 42.9% in language arts for children with a treatment start 25 to 36 months after the fourth-grade test. Compared with those starting treatment earlier (≤ 12 months after tests), the multivariable adjusted risk ratio (RR) for decline was 1.7 (95% confidence interval [CI]: 1.2-2.4) in mathematics and 1.1 (95% CI: 0.7-1.8) in language arts. The adjusted RR of mathematics decline with later treatment was higher among girls (RR, 2.7; 95% CI: 1.2-6.0) than boys (RR, 1.4; 95% CI: 0.9-2.0). Later start of stimulant drug treatment of attention-deficit/hyperactivity disorder is associated with academic decline in mathematics.

  17. Book Review: Conceptual mathematics: a first introduction to categories. F. William Lawvere and Stephen H. Schanuel, Cambridge University Press, Cambridge, 1997 (reprinted with corrections 1998), xvi+358 pp., index, hbk, ISBN 0-521-47249-0, pbk, ISBN 0-521-47817-0

    NASA Astrophysics Data System (ADS)

    Corfield, David

    Casting scientific or mathematical research activity in the form of programmes with a view to gauging its progressiveness is no straightforward business, as Imre Lakatos discovered. The category theory "programme", now over half a century old, has certainly become too large to be judged as a united enterprise whose members share a common mission. Speaking about Bayesian statistics, Edwin Jaynes could imagine a time when its methods had become so pervasive that its practitioners found their common interests insufficiently extensive to cause them to gather together for conferences, just as the time when researchers could meet up to discuss the uses of Fourier transforms is long past. Well, category theory has already progressed a certain way towards this stage. Its penetration into the various branches of mathematics has been uneven, but in some cases it has been profound. For instance, any algebraic topologist or algebraic geometer just must use a considerable amount of category theory as part of their job. It has also made inroads into logic and, from there, to theoretical computer science (see e.g., Taylor, 1999). Its reach even extends to mathematical physics where, for example, we find topological quantum field theories defined in terms of functors between categories (Atiyah, 1988), and the intriguing prospect that higher-dimensional categories will feature in subsequent developments.

  18. Solving Differential Equations in R

    EPA Science Inventory

    Although R is still predominantly applied for statistical analysis and graphical representation, it is rapidly becoming more suitable for mathematical computing. One of the fields where considerable progress has been made recently is the solution of differential equations. Here w...

  19. Reproducible research in vadose zone sciences

    USDA-ARS?s Scientific Manuscript database

    A significant portion of present-day soil and Earth science research is computational, involving complex data analysis pipelines, advanced mathematical and statistical models, and sophisticated computer codes. Opportunities for scientific progress are greatly diminished if reproducing and building o...

  20. Model-Based Phenotypic Signatures Governing the Dynamics of the Stem and Semi-differentiated Cell Populations in Dysplastic Colonic Crypts.

    PubMed

    Nikolov, Svetoslav; Santos, Guido; Wolkenhauer, Olaf; Vera, Julio

    2018-02-01

    Mathematical modeling of cell differentiated in colonic crypts can contribute to a better understanding of basic mechanisms underlying colonic tissue organization, but also its deregulation during carcinogenesis and tumor progression. Here, we combined bifurcation analysis to assess the effect that time delay has in the complex interplay of stem cells and semi-differentiated cells at the niche of colonic crypts, and systematic model perturbation and simulation to find model-based phenotypes linked to cancer progression. The models suggest that stem cell and semi-differentiated cell population dynamics in colonic crypts can display chaotic behavior. In addition, we found that clinical profiling of colorectal cancer correlates with the in silico phenotypes proposed by the mathematical model. Further, potential therapeutic targets for chemotherapy resistant phenotypes are proposed, which in any case will require experimental validation.

  1. Hybrid Spreading Mechanisms and T Cell Activation Shape the Dynamics of HIV-1 Infection

    PubMed Central

    Zhang, Changwang; Zhou, Shi; Groppelli, Elisabetta; Pellegrino, Pierre; Williams, Ian; Borrow, Persephone; Chain, Benjamin M.; Jolly, Clare

    2015-01-01

    HIV-1 can disseminate between susceptible cells by two mechanisms: cell-free infection following fluid-phase diffusion of virions and by highly-efficient direct cell-to-cell transmission at immune cell contacts. The contribution of this hybrid spreading mechanism, which is also a characteristic of some important computer worm outbreaks, to HIV-1 progression in vivo remains unknown. Here we present a new mathematical model that explicitly incorporates the ability of HIV-1 to use hybrid spreading mechanisms and evaluate the consequences for HIV-1 pathogenenesis. The model captures the major phases of the HIV-1 infection course of a cohort of treatment naive patients and also accurately predicts the results of the Short Pulse Anti-Retroviral Therapy at Seroconversion (SPARTAC) trial. Using this model we find that hybrid spreading is critical to seed and establish infection, and that cell-to-cell spread and increased CD4+ T cell activation are important for HIV-1 progression. Notably, the model predicts that cell-to-cell spread becomes increasingly effective as infection progresses and thus may present a considerable treatment barrier. Deriving predictions of various treatments’ influence on HIV-1 progression highlights the importance of earlier intervention and suggests that treatments effectively targeting cell-to-cell HIV-1 spread can delay progression to AIDS. This study suggests that hybrid spreading is a fundamental feature of HIV infection, and provides the mathematical framework incorporating this feature with which to evaluate future therapeutic strategies. PMID:25837979

  2. Nuclear Power Plant Mechanical Component Flooding Fragility Experiments Status

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    Pope, C. L.; Savage, B.; Johnson, B.

    This report describes progress on Nuclear Power Plant mechanical component flooding fragility experiments and supporting research. The progress includes execution of full scale fragility experiments using hollow-core doors, design of improvements to the Portal Evaluation Tank, equipment procurement and initial installation of PET improvements, designation of experiments exploiting the improved PET capabilities, fragility mathematical model development, Smoothed Particle Hydrodynamic simulations, wave impact simulation device research, and pipe rupture mechanics research.

  3. Using Constant Time Delay to Teach Braille and the Nemeth Code for Mathematics and Science Notation to Students Making the Transition from Print to Braille

    ERIC Educational Resources Information Center

    Ivy, Sarah E.; Hooper, Jonathan D.

    2015-01-01

    Introduction: Many students with adventitious vision loss or progressive vision loss need to transition from print to braille as a primary literacy medium. It is important that this transition is handled efficiently so that the student can have continued access to a literacy medium and make progress in the core curriculum. For this study, we used…

  4. The biology and mathematical modelling of glioma invasion: a review

    PubMed Central

    Talkenberger, K.; Seifert, M.; Klink, B.; Hawkins-Daarud, A.; Swanson, K. R.; Hatzikirou, H.

    2017-01-01

    Adult gliomas are aggressive brain tumours associated with low patient survival rates and limited life expectancy. The most important hallmark of this type of tumour is its invasive behaviour, characterized by a markedly phenotypic plasticity, infiltrative tumour morphologies and the ability of malignant progression from low- to high-grade tumour types. Indeed, the widespread infiltration of healthy brain tissue by glioma cells is largely responsible for poor prognosis and the difficulty of finding curative therapies. Meanwhile, mathematical models have been established to analyse potential mechanisms of glioma invasion. In this review, we start with a brief introduction to current biological knowledge about glioma invasion, and then critically review and highlight future challenges for mathematical models of glioma invasion. PMID:29118112

  5. Learning to teach secondary mathematics using an online learning system

    NASA Astrophysics Data System (ADS)

    Cavanagh, Michael; Mitchelmore, Michael

    2011-12-01

    We report the results of a classroom study of three secondary mathematics teachers who had no prior experience teaching with technology as they began to use an online mathematics learning system in their lessons. We gave the teachers only basic instruction on how to operate the system and then observed them intensively over four school terms as they taught using it. We documented changes in the teachers' Pedagogical Technology Knowledge and subsequently classified their various roles as technology bystanders, adopters, adaptors and innovators. Results show that all teachers made some progress toward using the system in more sophisticated ways, but the improvements were not uniform across the teachers. We suggest possible reasons to explain the variation and discuss some implications for teacher professional development.

  6. Research in progress at the Institute for Computer Applications in Science and Engineering

    NASA Technical Reports Server (NTRS)

    1987-01-01

    This report summarizes research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, numerical analysis, and computer science during the period April 1, 1987 through October 1, 1987.

  7. Comparative evolution of the inverse problems (Introduction to an interdisciplinary study of the inverse problems)

    NASA Technical Reports Server (NTRS)

    Sabatier, P. C.

    1972-01-01

    The progressive realization of the consequences of nonuniqueness imply an evolution of both the methods and the centers of interest in inverse problems. This evolution is schematically described together with the various mathematical methods used. A comparative description is given of inverse methods in scientific research, with examples taken from mathematics, quantum and classical physics, seismology, transport theory, radiative transfer, electromagnetic scattering, electrocardiology, etc. It is hoped that this paper will pave the way for an interdisciplinary study of inverse problems.

  8. Coordinating Federal Science, Technology, Engineering, and Mathematics (STEM) Education Investments: Progress Report. A Report from the Federal Coordination in STEM Education Task Force Committee on STEM Education National Science and Technology Council: In Response to the Requirements of the America COMPETES Reauthorization Act of 2010

    ERIC Educational Resources Information Center

    Executive Office of the President, 2012

    2012-01-01

    The America COMPETES Reauthorization Act of 2013 directs the Office of Science and Technology Policy (OSTP) to create an interagency committee under the National Science and Technology Council (NSTC) to develop a 5-year Federal science, technology, engineering, and mathematics (STEM) education strategic plan that includes: (1) annual and long-term…

  9. Effectiveness of working memory training among children with dyscalculia: evidence for transfer effects on mathematical achievement-a pilot study.

    PubMed

    Layes, Smail; Lalonde, Robert; Bouakkaz, Yamina; Rebai, Mohamed

    2017-12-22

    We examined whether the working memory (WM) capacity of developmentally dyscalculic children can be improved by a WM training program and whether outcomes relate to mathematical performance. The experimental design comprised two groups with developmental dyslexia with grade 4 schooling: an experimental group (n = 14; mean age = 129.74 months) and a control group (n = 14; mean age = 126.9 months). All participants were assessed on measures of WM, mathematic attainment, and nonverbal mental ability (Raven test) before and after training. The WM training program focused on manipulating and maintaining arithmetic information. The results show that both WM and mathematical performances improved significantly after intervention, indicating a strong relationship between these two constructs. The control group improved slightly in Raven's progressive matrices and a reading number task. These findings are discussed in terms of near and far transfer toward trained and untrained skills and stress the positive impact of WM training on learning mathematics in children with dyscalculia.

  10. 2013 Reading Assessment Report Card: Summary Data Tables for National and State Sample Sizes, Participation Rates, and Proportions of SD and ELL Students Identified. [Technical Appendix. NCES 2014-451

    ERIC Educational Resources Information Center

    National Center for Education Statistics, 2013

    2013-01-01

    This document represents one of three appendices associated with "The Nation's Report Card: A First Look--2013 Mathematics and Reading. National Assessment of Educational Progress at Grade 4 and 8. NCES 2014-451." It includes tabular data relating to the reading portion of the National Assessment of Education Progress at Grade 4 and 8.…

  11. Modeling dynamics for oncogenesis encompassing mutations and genetic instability.

    PubMed

    Fassoni, Artur C; Yang, Hyun M

    2018-06-27

    Tumorigenesis has been described as a multistep process, where each step is associated with a genetic alteration, in the direction to progressively transform a normal cell and its descendants into a malignant tumour. Into this work, we propose a mathematical model for cancer onset and development, considering three populations: normal, premalignant and cancer cells. The model takes into account three hallmarks of cancer: self-sufficiency on growth signals, insensibility to anti-growth signals and evading apoptosis. By using a nonlinear expression to describe the mutation from premalignant to cancer cells, the model includes genetic instability as an enabling characteristic of tumour progression. Mathematical analysis was performed in detail. Results indicate that apoptosis and tissue repair system are the first barriers against tumour progression. One of these mechanisms must be corrupted for cancer to develop from a single mutant cell. The results also show that the presence of aggressive cancer cells opens way to survival of less adapted premalignant cells. Numerical simulations were performed with parameter values based on experimental data of breast cancer, and the necessary time taken for cancer to reach a detectable size from a single mutant cell was estimated with respect to some parameters. We find that the rates of apoptosis and mutations have a large influence on the pace of tumour progression and on the time it takes to become clinically detectable.

  12. SOME MATHEMATICAL AND COMPUTATIONAL PROBLEMS IN REACTIVE FLOW. (R827116)

    EPA Science Inventory

    The perspectives, information and conclusions conveyed in research project abstracts, progress reports, final reports, journal abstracts and journal publications convey the viewpoints of the principal investigator and may not represent the views and policies of ORD and EPA. Concl...

  13. ANNUAL REPORT, JULY 1, 1960

    DOE Office of Scientific and Technical Information (OSTI.GOV)

    None

    1961-10-31

    Research facilities, general construction progress, research activities, and administration are discussed and a financial statement is given. Fairly detailed accounts are given of research programs in the fields of physics, accelerator development, instrumentation, applied mathematics, chemistry, nuclear engineering, biology, and medicine. (M.C.G.)

  14. Mathematics as a Conduit for Translational Research in Post-Traumatic Osteoarthritis

    PubMed Central

    Ayati, Bruce P.; Kapitanov, Georgi I.; Coleman, Mitchell C.; Anderson, Donald D.; Martin, James A.

    2016-01-01

    Biomathematical models offer a powerful method of clarifying complex temporal interactions and the relationships among multiple variables in a system. We present a coupled in silico biomathematical model of articular cartilage degeneration in response to impact and/or aberrant loading such as would be associated with injury to an articular joint. The model incorporates fundamental biological and mechanical information obtained from explant and small animal studies to predict post-traumatic osteoarthritis (PTOA) progression, with an eye toward eventual application in human patients. In this sense, we refer to the mathematics as a “conduit of translation”. The new in silico framework presented in this paper involves a biomathematical model for the cellular and biochemical response to strains computed using finite element analysis. The model predicts qualitative responses presently, utilizing system parameter values largely taken from the literature. To contribute to accurate predictions, models need to be accurately parameterized with values that are based on solid science. We discuss a parameter identification protocol that will enable us to make increasingly accurate predictions of PTOA progression using additional data from smaller scale explant and small animal assays as they become available. By distilling the data from the explant and animal assays into parameters for biomathematical models, mathematics can translate experimental data to clinically relevant knowledge. PMID:27653021

  15. [Mathematical modeling: an essential tool for the study of therapeutic targeting in solid tumors].

    PubMed

    Saidak, Zuzana; Giacobbi, Anne-Sophie; Morisse, Mony Chenda; Mammeri, Youcef; Galmiche, Antoine

    2017-12-01

    Recent progress in biology has made the study of the medical treatment of cancer more effective, but it has also revealed the large complexity of carcinogenesis and cell signaling. For many types of cancer, several therapeutic targets are known and in some cases drugs against these targets exist. Unfortunately, the target proteins often work in networks, resulting in functional adaptation and the development of resilience/resistance to medical treatment. The use of mathematical modeling makes it possible to carry out system-level analyses for improved study of therapeutic targeting in solid tumours. We present the main types of mathematical models used in cancer research and we provide examples illustrating the relevance of these approaches in molecular oncobiology. © 2017 médecine/sciences – Inserm.

  16. Mathematization in introductory physics

    NASA Astrophysics Data System (ADS)

    Brahmia, Suzanne M.

    Mathematization is central to STEM disciplines as a cornerstone of the quantitative reasoning that characterizes these fields. Introductory physics is required for most STEM majors in part so that students develop expert-like mathematization. This dissertation describes coordinated research and curriculum development for strengthening mathematization in introductory physics; it blends scholarship in physics and mathematics education in the form of three papers. The first paper explores mathematization in the context of physics, and makes an original contribution to the measurement of physics students' struggle to mathematize. Instructors naturally assume students have a conceptual mastery of algebra before embarking on a college physics course because these students are enrolled in math courses beyond algebra. This paper provides evidence that refutes the validity of this assumption and categorizes some of the barriers students commonly encounter with quantification and representing ideas symbolically. The second paper develops a model of instruction that can help students progress from their starting points to their instructor's desired endpoints. Instructors recognize that the introductory physics course introduces new ideas at an astonishing rate. More than most physicists realize, however, the way that mathematics is used in the course is foreign to a large portion of class. This paper puts forth an instructional model that can move all students toward better quantitative and physical reasoning, despite the substantial variability of those students' initial states. The third paper describes the design and testing of curricular materials that foster mathematical creativity to prepare students to better understand physics reasoning. Few students enter introductory physics with experience generating equations in response to specific challenges involving unfamiliar quantities and units, yet this generative use of mathematics is typical of the thinking involved in doing physics. It contrasts with their more common experience with mathematics as the practice of specified procedures to improve efficiency. This paper describes new curricular materials based on invention instruction provide students with opportunities to generate mathematical relationships in physics, and the paper presents preliminary evidence of the effectiveness of this method with mathematically underprepared engineering students.

  17. Mechanobiology by the numbers: a close relationship between biology and physics.

    PubMed

    Schwarz, Ulrich S

    2017-12-01

    Studies of mechanobiology lie at the interface of various scientific disciplines from biology to physics. Accordingly, quantification and mathematical modelling have been instrumental in fuelling the progress in this rapidly developing research field, assisting experimental work on many levels.

  18. To Infinity. . .and beyond!

    ERIC Educational Resources Information Center

    Larson, Jeffrey M.; Jacobson, Michael S.; Den Ouden, Katherine M.; Basile, Carole G.

    2012-01-01

    Developmentally, middle school students progress from being concrete thinkers and learners to abstract thinkers. Traditional middle school mathematics instruction introduces a curriculum that is intuitive and taught within a natural trajectory of the content. However, with this traditional approach, students may miss out on being exposed to…

  19. Lily Pad Doubling: Proportional Reasoning Development

    ERIC Educational Resources Information Center

    Robichaux-Davis, Rebecca R.

    2017-01-01

    Progressing from additive to multiplicative thinking is critical for the development of middle school students' proportional reasoning abilities. Yet, many middle school mathematics teachers lack a thorough understanding of additive versus multiplicative situations. This article describes a sequence of instructional activities used to develop the…

  20. Using Learning Trajectories to Enhance Formative Assessment

    ERIC Educational Resources Information Center

    Ebby, Caroline B.; Petit, Marjorie

    2017-01-01

    A learning trajectory describes the progression of student thinking and strategies over time in terms of sophistication of both conceptual understanding and procedural fluency. Currently, learning trajectories exist in the research literature for many mathematical domains, including counting, addition and subtraction, multiplicative thinking,…

  1. A Genome-Wide Association Study Identifies Genetic Variants Associated with Mathematics Ability

    PubMed Central

    Chen, Huan; Gu, Xiao-hong; Zhou, Yuxi; Ge, Zeng; Wang, Bin; Siok, Wai Ting; Wang, Guoqing; Huen, Michael; Jiang, Yuyang; Tan, Li-Hai; Sun, Yimin

    2017-01-01

    Mathematics ability is a complex cognitive trait with polygenic heritability. Genome-wide association study (GWAS) has been an effective approach to investigate genetic components underlying mathematic ability. Although previous studies reported several candidate genetic variants, none of them exceeded genome-wide significant threshold in general populations. Herein, we performed GWAS in Chinese elementary school students to identify potential genetic variants associated with mathematics ability. The discovery stage included 494 and 504 individuals from two independent cohorts respectively. The replication stage included another cohort of 599 individuals. In total, 28 of 81 candidate SNPs that met validation criteria were further replicated. Combined meta-analysis of three cohorts identified four SNPs (rs1012694, rs11743006, rs17778739 and rs17777541) of SPOCK1 gene showing association with mathematics ability (minimum p value 5.67 × 10−10, maximum β −2.43). The SPOCK1 gene is located on chromosome 5q31.2 and encodes a highly conserved glycoprotein testican-1 which was associated with tumor progression and prognosis as well as neurogenesis. This is the first study to report genome-wide significant association of individual SNPs with mathematics ability in general populations. Our preliminary results further supported the role of SPOCK1 during neurodevelopment. The genetic complexities underlying mathematics ability might contribute to explain the basis of human cognition and intelligence at genetic level. PMID:28155865

  2. A Genome-Wide Association Study Identifies Genetic Variants Associated with Mathematics Ability.

    PubMed

    Chen, Huan; Gu, Xiao-Hong; Zhou, Yuxi; Ge, Zeng; Wang, Bin; Siok, Wai Ting; Wang, Guoqing; Huen, Michael; Jiang, Yuyang; Tan, Li-Hai; Sun, Yimin

    2017-02-03

    Mathematics ability is a complex cognitive trait with polygenic heritability. Genome-wide association study (GWAS) has been an effective approach to investigate genetic components underlying mathematic ability. Although previous studies reported several candidate genetic variants, none of them exceeded genome-wide significant threshold in general populations. Herein, we performed GWAS in Chinese elementary school students to identify potential genetic variants associated with mathematics ability. The discovery stage included 494 and 504 individuals from two independent cohorts respectively. The replication stage included another cohort of 599 individuals. In total, 28 of 81 candidate SNPs that met validation criteria were further replicated. Combined meta-analysis of three cohorts identified four SNPs (rs1012694, rs11743006, rs17778739 and rs17777541) of SPOCK1 gene showing association with mathematics ability (minimum p value 5.67 × 10 -10 , maximum β -2.43). The SPOCK1 gene is located on chromosome 5q31.2 and encodes a highly conserved glycoprotein testican-1 which was associated with tumor progression and prognosis as well as neurogenesis. This is the first study to report genome-wide significant association of individual SNPs with mathematics ability in general populations. Our preliminary results further supported the role of SPOCK1 during neurodevelopment. The genetic complexities underlying mathematics ability might contribute to explain the basis of human cognition and intelligence at genetic level.

  3. Improving science and mathematics education with computational modelling in interactive engagement environments

    NASA Astrophysics Data System (ADS)

    Neves, Rui Gomes; Teodoro, Vítor Duarte

    2012-09-01

    A teaching approach aiming at an epistemologically balanced integration of computational modelling in science and mathematics education is presented. The approach is based on interactive engagement learning activities built around computational modelling experiments that span the range of different kinds of modelling from explorative to expressive modelling. The activities are designed to make a progressive introduction to scientific computation without requiring prior development of a working knowledge of programming, generate and foster the resolution of cognitive conflicts in the understanding of scientific and mathematical concepts and promote performative competency in the manipulation of different and complementary representations of mathematical models. The activities are supported by interactive PDF documents which explain the fundamental concepts, methods and reasoning processes using text, images and embedded movies, and include free space for multimedia enriched student modelling reports and teacher feedback. To illustrate, an example from physics implemented in the Modellus environment and tested in undergraduate university general physics and biophysics courses is discussed.

  4. How Did the Dengue Fever Outbreak Progress in Yoyogi Park, Tokyo, in 2014?-Evaluation Based on a Mathematical Model.

    PubMed

    Ishikawa, Hirofumi; Shimogawara, Rieko; Fueda, Kaoru

    2017-01-01

    In the summer of 2014, an outbreak of autochthonous dengue fever occurred in Yoyogi Park and its vicinity, Tokyo, Japan. In this study, we investigated how the dengue fever outbreak progressed in Yoyogi Park using a mathematical model. This study was limited to the transmission of the dengue virus in Yoyogi Park and its vicinity. We estimated the distributions of the intrinsic incubation period and infection dates on the basis of epidemiological information on the dengue outbreak in 2014. We searched for an assumption that satisfactorily explains the outbreak in 2014 using rough estimates of secondary and tertiary infection cases. We constructed a mathematical model for the transmission of the dengue virus between humans and Aedes albopictus. We carried out 1,000-trial stochastic simulations for all combinations of three kinds of assumption about Ae. albopictus and asymptomatic infection with each of three levels. Simulation results showed that the scale of the outbreak was markedly affected by the daily survival rate of Ae. albopictus. The outbreak involved a small number of secondary infection cases, reached a peak at tertiary infection, and transformed to termination at the fourth infection. Under some assumptions, the daily progress of onset cases was within a range between the 1st-3rd quartiles of 1,000 trials for 87% of dates and within a range between the minimum and maximum for all dates. It is important to execute plans to detect asymptomatic cases and reduce the survival rate of Ae. albopictus to prevent the spread of tertiary infections unless an outbreak is suppressed at the secondary infection stage.

  5. Touchscreen Tablets: Coordinating Action and Perception for Mathematical Cognition.

    PubMed

    Duijzer, Carolien A C G; Shayan, Shakila; Bakker, Arthur; Van der Schaaf, Marieke F; Abrahamson, Dor

    2017-01-01

    Proportional reasoning is important and yet difficult for many students, who often use additive strategies, where multiplicative strategies are better suited. In our research we explore the potential of an interactive touchscreen tablet application to promote proportional reasoning by creating conditions that steer students toward multiplicative strategies. The design of this application (Mathematical Imagery Trainer) was inspired by arguments from embodied-cognition theory that mathematical understanding is grounded in sensorimotor schemes. This study draws on a corpus of previously treated data of 9-11 year-old students, who participated individually in semi-structured clinical interviews, in which they solved a manipulation task that required moving two vertical bars at a constant ratio of heights (1:2). Qualitative analyses revealed the frequent emergence of visual attention to the screen location halfway along the bar that was twice as high as the short bar. The hypothesis arose that students used so-called "attentional anchors" (AAs)-psychological constructions of new perceptual structures in the environment that people invent spontaneously as their heuristic means of guiding effective manual actions for managing an otherwise overwhelming task, in this case keeping vertical bars at the same proportion while moving them. We assumed that students' AAs on the mathematically relevant points were crucial in progressing from additive to multiplicative strategies. Here we seek farther to promote this line of research by reanalyzing data from 38 students (aged 9-11). We ask: (1) What quantitative evidence is there for the emergence of AAs?; and (2) How does the transition from additive to multiplicative reasoning take place when solving embodied proportions tasks in interaction with the touchscreen tablet app? We found that: (a) AAs appeared for all students; (b) the AA-types were few across the students; (c) the AAs were mathematically relevant (top of the bars and halfway along the tall bar); (d) interacting with the tablet was crucial for the AAs' emergence; and (e) the vast majority of students progressed from additive to multiplicative strategies (as corroborated with oral utterances). We conclude that touchscreen applications have the potential to create interaction conditions for coordinating action and perception into mathematical cognition.

  6. Touchscreen Tablets: Coordinating Action and Perception for Mathematical Cognition

    PubMed Central

    Duijzer, Carolien A. C. G.; Shayan, Shakila; Bakker, Arthur; Van der Schaaf, Marieke F.; Abrahamson, Dor

    2017-01-01

    Proportional reasoning is important and yet difficult for many students, who often use additive strategies, where multiplicative strategies are better suited. In our research we explore the potential of an interactive touchscreen tablet application to promote proportional reasoning by creating conditions that steer students toward multiplicative strategies. The design of this application (Mathematical Imagery Trainer) was inspired by arguments from embodied-cognition theory that mathematical understanding is grounded in sensorimotor schemes. This study draws on a corpus of previously treated data of 9–11 year-old students, who participated individually in semi-structured clinical interviews, in which they solved a manipulation task that required moving two vertical bars at a constant ratio of heights (1:2). Qualitative analyses revealed the frequent emergence of visual attention to the screen location halfway along the bar that was twice as high as the short bar. The hypothesis arose that students used so-called “attentional anchors” (AAs)—psychological constructions of new perceptual structures in the environment that people invent spontaneously as their heuristic means of guiding effective manual actions for managing an otherwise overwhelming task, in this case keeping vertical bars at the same proportion while moving them. We assumed that students’ AAs on the mathematically relevant points were crucial in progressing from additive to multiplicative strategies. Here we seek farther to promote this line of research by reanalyzing data from 38 students (aged 9–11). We ask: (1) What quantitative evidence is there for the emergence of AAs?; and (2) How does the transition from additive to multiplicative reasoning take place when solving embodied proportions tasks in interaction with the touchscreen tablet app? We found that: (a) AAs appeared for all students; (b) the AA-types were few across the students; (c) the AAs were mathematically relevant (top of the bars and halfway along the tall bar); (d) interacting with the tablet was crucial for the AAs’ emergence; and (e) the vast majority of students progressed from additive to multiplicative strategies (as corroborated with oral utterances). We conclude that touchscreen applications have the potential to create interaction conditions for coordinating action and perception into mathematical cognition. PMID:28228739

  7. Research in progress and other activities of the Institute for Computer Applications in Science and Engineering

    NASA Technical Reports Server (NTRS)

    1993-01-01

    This report summarizes research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics and computer science during the period April 1, 1993 through September 30, 1993. The major categories of the current ICASE research program are: (1) applied and numerical mathematics, including numerical analysis and algorithm development; (2) theoretical and computational research in fluid mechanics in selected areas of interest to LaRC, including acoustic and combustion; (3) experimental research in transition and turbulence and aerodynamics involving LaRC facilities and scientists; and (4) computer science.

  8. Fundamental remote science research program. Part 2: Status report of the mathematical pattern recognition and image analysis project

    NASA Technical Reports Server (NTRS)

    Heydorn, R. P.

    1984-01-01

    The Mathematical Pattern Recognition and Image Analysis (MPRIA) Project is concerned with basic research problems related to the study of he Earth from remotely sensed measurements of its surface characteristics. The program goal is to better understand how to analyze the digital image that represents the spatial, spectral, and temporal arrangement of these measurements for purposing of making selected inferences about the Earth. This report summarizes the progress that has been made toward this program goal by each of the principal investigators in the MPRIA Program.

  9. Canadian Policy Responses to International Comparison Testing

    ERIC Educational Resources Information Center

    Volante, Louis

    2013-01-01

    This paper examines policy responses across Canada to international student assessment programs such as the program for international student assessment, trends in international mathematics and science study, and progress in international reading and literacy study. Literature reviewed included refereed and non-refereed journal articles,…

  10. Integrating Formal and Grounded Representations in Combinatorics Learning

    ERIC Educational Resources Information Center

    Braithwaite, David W.; Goldstone, Robert L.

    2013-01-01

    The terms "concreteness fading" and "progressive formalization" have been used to describe instructional approaches to science and mathematics that use grounded representations to introduce concepts and later transition to more formal representations of the same concepts. There are both theoretical and empirical reasons to…

  11. Probability and Statistics: A Prelude.

    ERIC Educational Resources Information Center

    Goodman, A. F.; Blischke, W. R.

    Probability and statistics have become indispensable to scientific, technical, and management progress. They serve as essential dialects of mathematics, the classical language of science, and as instruments necessary for intelligent generation and analysis of information. A prelude to probability and statistics is presented by examination of the…

  12. Progress in Mathematical Programming.

    DTIC Science & Technology

    1987-03-04

    Philip Gill, Neal Glassman, Donald Goldfarb, Clovis Gonzaga, Harvey Greenberg , Peter Gritzmann, James K. Ho, Alan Hoffman, T. C. Hu, Hiroshi Imai...polar polytope P’ if 0 E P. The image trajectories are geodesics of a projectively invariant geometry on P 0 , Hilbert geometry. This work relates

  13. Stochastic modelling of slow-progressing tumors: Analysis and applications to the cell interplay and control of low grade gliomas

    NASA Astrophysics Data System (ADS)

    Rodríguez, Clara Rojas; Fernández Calvo, Gabriel; Ramis-Conde, Ignacio; Belmonte-Beitia, Juan

    2017-08-01

    Tumor-normal cell interplay defines the course of a neoplastic malignancy. The outcome of this dual relation is the ultimate prevailing of one of the cells and the death or retreat of the other. In this paper we study the mathematical principles that underlay one important scenario: that of slow-progressing cancers. For this, we develop, within a stochastic framework, a mathematical model to account for tumor-normal cell interaction in such a clinically relevant situation and derive a number of deterministic approximations from the stochastic model. We consider in detail the existence and uniqueness of the solutions of the deterministic model and study the stability analysis. We then focus our model to the specific case of low grade gliomas, where we introduce an optimal control problem for different objective functionals under the administration of chemotherapy. We derive the conditions for which singular and bang-bang control exist and calculate the optimal control and states.

  14. Numerical solving of equations in the work of José Mariano Vallejo

    NASA Astrophysics Data System (ADS)

    Pacheco Castelao, José-Miguel; Pérez-Fern; ández, F. Javier; Suárez Alemán, Carlos-Oswaldo

    2007-09-01

    The progress of Mathematics during the nineteenth century was characterised both by an enormous acquisition of new knowledge and by the attempts to introduce rigour in reasoning patterns and mathematical writing. Cauchy's presentation of Mathematical Analysis was not immediately accepted, and many writers, though aware of that new style, did not use it in their own mathematical production. This paper is devoted to an episode of this sort that took place in Spain during the first half of the century: It deals with the presentation of a method for numerically solving algebraic equations by José Mariano Vallejo, a late Spanish follower of the Enlightenment ideas, politician, writer, and mathematician who published it in the fourth (1840) edition of his book Compendio de Mathemáticas Puras y Mistas, claiming to have discovered it on his own. Vallejo's main achievement was to write down the whole procedure in a very careful way taking into account the different types of roots, although he paid little attention to questions such as convergence checks and the fulfilment of the hypotheses of Rolle's Theorem. For sure this lack of mathematical care prevented Vallejo to occupy a place among the forerunners of Computational Algebra.

  15. From biology to mathematical models and back: teaching modeling to biology students, and biology to math and engineering students.

    PubMed

    Chiel, Hillel J; McManus, Jeffrey M; Shaw, Kendrick M

    2010-01-01

    We describe the development of a course to teach modeling and mathematical analysis skills to students of biology and to teach biology to students with strong backgrounds in mathematics, physics, or engineering. The two groups of students have different ways of learning material and often have strong negative feelings toward the area of knowledge that they find difficult. To give students a sense of mastery in each area, several complementary approaches are used in the course: 1) a "live" textbook that allows students to explore models and mathematical processes interactively; 2) benchmark problems providing key skills on which students make continuous progress; 3) assignment of students to teams of two throughout the semester; 4) regular one-on-one interactions with instructors throughout the semester; and 5) a term project in which students reconstruct, analyze, extend, and then write in detail about a recently published biological model. Based on student evaluations and comments, an attitude survey, and the quality of the students' term papers, the course has significantly increased the ability and willingness of biology students to use mathematical concepts and modeling tools to understand biological systems, and it has significantly enhanced engineering students' appreciation of biology.

  16. Systems oncology: towards patient-specific treatment regimes informed by multiscale mathematical modelling.

    PubMed

    Powathil, Gibin G; Swat, Maciej; Chaplain, Mark A J

    2015-02-01

    The multiscale complexity of cancer as a disease necessitates a corresponding multiscale modelling approach to produce truly predictive mathematical models capable of improving existing treatment protocols. To capture all the dynamics of solid tumour growth and its progression, mathematical modellers need to couple biological processes occurring at various spatial and temporal scales (from genes to tissues). Because effectiveness of cancer therapy is considerably affected by intracellular and extracellular heterogeneities as well as by the dynamical changes in the tissue microenvironment, any model attempt to optimise existing protocols must consider these factors ultimately leading to improved multimodal treatment regimes. By improving existing and building new mathematical models of cancer, modellers can play important role in preventing the use of potentially sub-optimal treatment combinations. In this paper, we analyse a multiscale computational mathematical model for cancer growth and spread, incorporating the multiple effects of radiation therapy and chemotherapy in the patient survival probability and implement the model using two different cell based modelling techniques. We show that the insights provided by such multiscale modelling approaches can ultimately help in designing optimal patient-specific multi-modality treatment protocols that may increase patients quality of life. Copyright © 2014 Elsevier Ltd. All rights reserved.

  17. Sex-related Differences in the Determinants and Process of Science and Mathematics Choice in Pre-university Education

    NASA Astrophysics Data System (ADS)

    van Langen, Annemarie; Rekers-Mombarg, Lyset; Dekkers, Hetty

    2006-01-01

    The more science and mathematics subjects that pupils in pre-university education include in their final examination package, the more future academic routes are available to them. Equality of educational opportunity is thus threatened when groups of pupils, distinguished by sex and family background but otherwise of equal capacities and achievement, are found to differ in their choices. This proposition is examined using data from a large Dutch cohort. Multilevel analyses show that the choice of science and mathematics subjects by girls is influenced by their family background while the choice by boys is not. The influence of various pupil and family variables on the subject selection process is explored via path analyses. The results confirm the importance of viewing subject choice as a chronological process that progresses differently for boys and girls.

  18. Making instruction and assessment responsive to diverse students' progress: group-administered dynamic assessment in teaching mathematics.

    PubMed

    Jeltova, Ida; Birney, Damian; Fredine, Nancy; Jarvin, Linda; Sternberg, Robert J; Grigorenko, Elena L

    2011-01-01

    This study entailed a 3 (instructional intervention) × 2 (assessment-type) between-subjects experimental design employing a pretest-intervention-posttest methodology. The instructional interventions were administered between subjects in three conditions: (a) dynamic instruction, (b) triarchic or theory of successful intelligence-control instruction, and (c) standard-control instruction. The assessment-type consisted between subjects of either (a) a group-administered dynamic posttest or (b) the same group-administered posttest interspersed with a control filler activity. Performance in different mathematics content areas taught in fourth grade was investigated. In total, 1,332 students and 63 classroom teachers in 24 schools across six school districts participated in the study. The results indicate the advantages of using dynamic instruction and assessment in regular classrooms while teaching mathematics, especially when the student body is highly ethnically diverse.

  19. How can mathematical models advance tuberculosis control in high HIV prevalence settings?

    PubMed

    Houben, R M G J; Dowdy, D W; Vassall, A; Cohen, T; Nicol, M P; Granich, R M; Shea, J E; Eckhoff, P; Dye, C; Kimerling, M E; White, R G

    2014-05-01

    Existing approaches to tuberculosis (TB) control have been no more than partially successful in areas with high human immunodeficiency virus (HIV) prevalence. In the context of increasingly constrained resources, mathematical modelling can augment understanding and support policy for implementing those strategies that are most likely to bring public health and economic benefits. In this paper, we present an overview of past and recent contributions of TB modelling in this key area, and suggest a way forward through a modelling research agenda that supports a more effective response to the TB-HIV epidemic, based on expert discussions at a meeting convened by the TB Modelling and Analysis Consortium. The research agenda identified high-priority areas for future modelling efforts, including 1) the difficult diagnosis and high mortality of TB-HIV; 2) the high risk of disease progression; 3) TB health systems in high HIV prevalence settings; 4) uncertainty in the natural progression of TB-HIV; and 5) combined interventions for TB-HIV. Efficient and rapid progress towards completion of this modelling agenda will require co-ordination between the modelling community and key stakeholders, including advocates, health policy makers, donors and national or regional finance officials. A continuing dialogue will ensure that new results are effectively communicated and new policy-relevant questions are addressed swiftly.

  20. Development of a computational model of glucose toxicity in the progression of diabetes mellitus.

    PubMed

    Perez-Rivera, Danilo T; Torres-Torres, Veronica L; Torres-Colon, Abraham E; Cruz-Aponte, Maytee

    2016-10-01

    Diabetes mellitus is a disease characterized by a range of metabolic complications involving an individual's blood glucose levels, and its main regulator, insulin. These complications can vary largely from person to person depending on their current biophysical state. Biomedical research day-by-day makes strides to impact the lives of patients of a variety of diseases, including diabetes. One large stride that is being made is the generation of techniques to assist physicians to ``personalize medicine''. From available physiological data, biological understanding of the system, and dimensional analysis, a differential equation-based mathematical model was built in a sequential matter, to be able to elucidate clearly how each parameter correlates to the patient's current physiological state. We developed a simple mathematical model that accurately simulates the dynamics between glucose, insulin, and pancreatic $\\beta$-cells throughout disease progression with constraints to maintain biological relevance. The current framework is clearly capable of tracking the patient's current progress through the disease, dependent on factors such as latent insulin resistance or an attrite $\\beta$-cell population. Further interests would be to develop tools that allow the direct and feasible testing of how effective a given plan of treatment would be at returning the patient to a desirable biophysical state.

  1. Regulatory design governing progression of population growth phases in bacteria.

    PubMed

    Martínez-Antonio, Agustino; Lomnitz, Jason G; Sandoval, Santiago; Aldana, Maximino; Savageau, Michael A

    2012-01-01

    It has long been noted that batch cultures inoculated with resting bacteria exhibit a progression of growth phases traditionally labeled lag, exponential, pre-stationary and stationary. However, a detailed molecular description of the mechanisms controlling the transitions between these phases is lacking. A core circuit, formed by a subset of regulatory interactions involving five global transcription factors (FIS, HNS, IHF, RpoS and GadX), has been identified by correlating information from the well- established transcriptional regulatory network of Escherichia coli and genome-wide expression data from cultures in these different growth phases. We propose a functional role for this circuit in controlling progression through these phases. Two alternative hypotheses for controlling the transition between the growth phases are first, a continuous graded adjustment to changing environmental conditions, and second, a discontinuous hysteretic switch at critical thresholds between growth phases. We formulate a simple mathematical model of the core circuit, consisting of differential equations based on the power-law formalism, and show by mathematical and computer-assisted analysis that there are critical conditions among the parameters of the model that can lead to hysteretic switch behavior, which--if validated experimentally--would suggest that the transitions between different growth phases might be analogous to cellular differentiation. Based on these provocative results, we propose experiments to test the alternative hypotheses.

  2. Developing Multiplicative Thinking from Additive Reasoning

    ERIC Educational Resources Information Center

    Tobias, Jennifer M.; Andreasen, Janet B.

    2013-01-01

    As students progress through elementary school, they encounter mathematics concepts that shift from additive to multiplicative situations (NCTM 2000). When they encounter fraction problems that require multiplicative thinking, they tend to incorrectly extend additive properties from whole numbers (Post et al. 1985). As a result, topics such as …

  3. A MATHEMATICAL MODEL OF PHYTOREMEDIATION FOR PETROLEUM CONTAMINATED SOIL: SENSITIVITY ANALYSIS. (R827015C018)

    EPA Science Inventory

    The perspectives, information and conclusions conveyed in research project abstracts, progress reports, final reports, journal abstracts and journal publications convey the viewpoints of the principal investigator and may not represent the views and policies of ORD and EPA. Concl...

  4. Community College Pathways: 2013-2014 Descriptive Report

    ERIC Educational Resources Information Center

    Sowers, Nicole; Yamada, Hiroyuki

    2015-01-01

    The Community College Pathways initiative consists of two pathways, Statway® and Quantway®, that accelerate post-secondary students' progress through their developmental mathematics sequence and a college-level course for credit. Launched in 2011, the Pathways have been remarkably successful, helping thousands of students achieve success in…

  5. News and Views.

    ERIC Educational Resources Information Center

    Journal of Blacks in Higher Education, 1999

    1999-01-01

    Presents a collection of articles that offer information on such issues as the progress of black student matriculations at the highest-ranking U.S. colleges; black historians teaching black history; Blacks in academic accounting; banishing the stereotype that African Americans cannot do mathematics; campus crime rates at black colleges; and the…

  6. Metal Fabricating Specialist (AFSC 55252).

    ERIC Educational Resources Information Center

    Air Univ., Gunter AFS, Ala. Extension Course Inst.

    This seven-volume student text is designed for use by Air Force personnel enrolled in a self-study extension course for metal fabricating specialists. Covered in the individual volumes are general subjects (career progression, management of activities and resources, shop mathematics, and characteristics of metals); sheet metal tools and equipment…

  7. What Teaching for Understanding Looks Like.

    ERIC Educational Resources Information Center

    Unger, Chris

    1994-01-01

    To apply four principles of Teaching for Understanding framework developed at Harvard University, researchers worked with team of four teachers at two Massachusetts high schools. One history teacher revised Industrial Revolution unit to emphasize human progress. Mathematics teacher had students design a dance floor based on several different…

  8. Coaching positively influences the effects of working memory training on visual working memory as well as mathematical ability.

    PubMed

    Nelwan, Michel; Vissers, Constance; Kroesbergen, Evelyn H

    2018-05-01

    The goal of the present study was to test whether the amount of coaching influenced the results of working memory training on both visual and verbal working memory. Additionally, the effects of the working memory training on the amount of progress after specific training in mathematics were evaluated. In this study, 23 children between 9 and 12 years of age with both attentional and mathematical difficulties participated in a working memory training program with a high amount of coaching, while another 25 children received no working memory training. Results of these groups were compared to 21 children who completed the training with a lower amount of coaching. The quality of working memory, as well as mathematic skills, were measured three times using untrained transfer tasks. Bayesian statistics were used to test informative hypotheses. After receiving working memory training, the highly coached group performed better than the group that received less coaching on visual working memory and mathematics, but not on verbal working memory. The highly coached group retained their advantage in mathematics, even though the effect on visual working memory decreased. However, no added effect of working memory training was found on the learning curve during mathematical training. Moreover, the less-coached group was outperformed by the group that did not receive working memory training, both in visual working memory and mathematics. These results suggest that motivation and proper coaching might be crucial for ensuring compliance and effects of working memory training, and that far transfer might be possible. Copyright © 2018 Elsevier Ltd. All rights reserved.

  9. Mathematical modeling of atopic dermatitis reveals "double-switch" mechanisms underlying 4 common disease phenotypes.

    PubMed

    Domínguez-Hüttinger, Elisa; Christodoulides, Panayiotis; Miyauchi, Kosuke; Irvine, Alan D; Okada-Hatakeyama, Mariko; Kubo, Masato; Tanaka, Reiko J

    2017-06-01

    The skin barrier acts as the first line of defense against constant exposure to biological, microbial, physical, and chemical environmental stressors. Dynamic interplay between defects in the skin barrier, dysfunctional immune responses, and environmental stressors are major factors in the development of atopic dermatitis (AD). A systems biology modeling approach can yield significant insights into these complex and dynamic processes through integration of prior biological data. We sought to develop a multiscale mathematical model of AD pathogenesis that describes the dynamic interplay between the skin barrier, environmental stress, and immune dysregulation and use it to achieve a coherent mechanistic understanding of the onset, progression, and prevention of AD. We mathematically investigated synergistic effects of known genetic and environmental risk factors on the dynamic onset and progression of the AD phenotype, from a mostly asymptomatic mild phenotype to a severe treatment-resistant form. Our model analysis identified a "double switch," with 2 concatenated bistable switches, as a key network motif that dictates AD pathogenesis: the first switch is responsible for the reversible onset of inflammation, and the second switch is triggered by long-lasting or frequent activation of the first switch, causing irreversible onset of systemic T H 2 sensitization and worsening of AD symptoms. Our mathematical analysis of the bistable switch predicts that genetic risk factors decrease the threshold of environmental stressors to trigger systemic T H 2 sensitization. This analysis predicts and explains 4 common clinical AD phenotypes from a mild and reversible phenotype through to severe and recalcitrant disease and provides a mechanistic explanation for clinically demonstrated preventive effects of emollient treatments against development of AD. Copyright © 2016 The Authors. Published by Elsevier Inc. All rights reserved.

  10. The development of a stochastic mathematical model of Alzheimer’s disease to help improve the design of clinical trials of potential treatments

    PubMed Central

    Ower, Alison K.; de Wolf, Frank; Anderson, Roy M.

    2018-01-01

    Alzheimer’s disease (AD) is a neurodegenerative disorder characterised by a slow progressive deterioration of cognitive capacity. Drugs are urgently needed for the treatment of AD and unfortunately almost all clinical trials of AD drug candidates have failed or been discontinued to date. Mathematical, computational and statistical tools can be employed in the construction of clinical trial simulators to assist in the improvement of trial design and enhance the chances of success of potential new therapies. Based on the analysis of a set of clinical data provided by the Alzheimer's Disease Neuroimaging Initiative (ADNI) we developed a simple stochastic mathematical model to simulate the development and progression of Alzheimer’s in a longitudinal cohort study. We show how this modelling framework could be used to assess the effect and the chances of success of hypothetical treatments that are administered at different stages and delay disease development. We demonstrate that the detection of the true efficacy of an AD treatment can be very challenging, even if the treatment is highly effective. An important reason behind the inability to detect signals of efficacy in a clinical trial in this therapy area could be the high between- and within-individual variability in the measurement of diagnostic markers and endpoints, which consequently results in the misdiagnosis of an individual’s disease state. PMID:29377891

  11. The development of a stochastic mathematical model of Alzheimer's disease to help improve the design of clinical trials of potential treatments.

    PubMed

    Hadjichrysanthou, Christoforos; Ower, Alison K; de Wolf, Frank; Anderson, Roy M

    2018-01-01

    Alzheimer's disease (AD) is a neurodegenerative disorder characterised by a slow progressive deterioration of cognitive capacity. Drugs are urgently needed for the treatment of AD and unfortunately almost all clinical trials of AD drug candidates have failed or been discontinued to date. Mathematical, computational and statistical tools can be employed in the construction of clinical trial simulators to assist in the improvement of trial design and enhance the chances of success of potential new therapies. Based on the analysis of a set of clinical data provided by the Alzheimer's Disease Neuroimaging Initiative (ADNI) we developed a simple stochastic mathematical model to simulate the development and progression of Alzheimer's in a longitudinal cohort study. We show how this modelling framework could be used to assess the effect and the chances of success of hypothetical treatments that are administered at different stages and delay disease development. We demonstrate that the detection of the true efficacy of an AD treatment can be very challenging, even if the treatment is highly effective. An important reason behind the inability to detect signals of efficacy in a clinical trial in this therapy area could be the high between- and within-individual variability in the measurement of diagnostic markers and endpoints, which consequently results in the misdiagnosis of an individual's disease state.

  12. An application of the discrete-time Toda lattice to the progressive algorithm by Lanczos and related problems

    NASA Astrophysics Data System (ADS)

    Nakamura, Yoshimasa; Sekido, Hiroto

    2018-04-01

    The finite or the semi-infinite discrete-time Toda lattice has many applications to various areas in applied mathematics. The purpose of this paper is to review how the Toda lattice appears in the Lanczos algorithm through the quotient-difference algorithm and its progressive form (pqd). Then a multistep progressive algorithm (MPA) for solving linear systems is presented. The extended Lanczos parameters can be given not by computing inner products of the extended Lanczos vectors but by using the pqd algorithm with highly relative accuracy in a lower cost. The asymptotic behavior of the pqd algorithm brings us some applications of MPA related to eigenvectors.

  13. Longitudinal mathematics development of students with learning disabilities and students without disabilities: a comparison of linear, quadratic, and piecewise linear mixed effects models.

    PubMed

    Kohli, Nidhi; Sullivan, Amanda L; Sadeh, Shanna; Zopluoglu, Cengiz

    2015-04-01

    Effective instructional planning and intervening rely heavily on accurate understanding of students' growth, but relatively few researchers have examined mathematics achievement trajectories, particularly for students with special needs. We applied linear, quadratic, and piecewise linear mixed-effects models to identify the best-fitting model for mathematics development over elementary and middle school and to ascertain differences in growth trajectories of children with learning disabilities relative to their typically developing peers. The analytic sample of 2150 students was drawn from the Early Childhood Longitudinal Study - Kindergarten Cohort, a nationally representative sample of United States children who entered kindergarten in 1998. We first modeled students' mathematics growth via multiple mixed-effects models to determine the best fitting model of 9-year growth and then compared the trajectories of students with and without learning disabilities. Results indicate that the piecewise linear mixed-effects model captured best the functional form of students' mathematics trajectories. In addition, there were substantial achievement gaps between students with learning disabilities and students with no disabilities, and their trajectories differed such that students without disabilities progressed at a higher rate than their peers who had learning disabilities. The results underscore the need for further research to understand how to appropriately model students' mathematics trajectories and the need for attention to mathematics achievement gaps in policy. Copyright © 2015 Society for the Study of School Psychology. Published by Elsevier Ltd. All rights reserved.

  14. 77 FR 24933 - Notice of Proposed Information Collection Requests; Office of the Secretary; Race to the Top...

    Federal Register 2010, 2011, 2012, 2013, 2014

    2012-04-26

    ... on their progress in the four core education reform areas and in Science, Technology, Engineering..., and ensuring student preparation for success in college and careers; and implementing ambitious plans... reform areas and in Science, Technology, Engineering, and Mathematics. This reporting includes narrative...

  15. STEM Gets a Boost from Business

    ERIC Educational Resources Information Center

    Rosen, Linda

    2012-01-01

    STEM--science, technology, engineering, and mathematics--has become a fixture of the education debate, and much effort already has been put toward improving student performance. Yet troubling statistics persist: On the latest round of testing for the National Assessment of Educational Progress (NAEP), only 40 percent of fourth graders nationwide…

  16. Persona-Based Journaling: Striving for Authenticity in Representing the Problem-Solving Process

    ERIC Educational Resources Information Center

    Liljedahl, Peter

    2007-01-01

    Students' mathematical problem-solving experiences are fraught with failed attempts, wrong turns, and partial successes that move in fits and jerks, oscillating between periods of inactivity, stalled progress, rapid advancement, and epiphanies. Students' problem-solving journals, however, do not always reflect this rather organic process. Without…

  17. Odyssey Math. What Works Clearinghouse Intervention Report

    ERIC Educational Resources Information Center

    What Works Clearinghouse, 2009

    2009-01-01

    "Odyssey Math," published by CompassLearning[R], is an interactive, software-based K-8 mathematics curriculum. It includes individualized instructional and assessment tools, as well as an administrative function that allows teachers to track student performance and progress and to generate reports. Lessons employ real-world contexts in which…

  18. Progress in catalytic ignition fabrication, modeling and infrastructure : (part 2) development of a multi-zone engine model simulated using MATLAB software.

    DOT National Transportation Integrated Search

    2014-02-01

    A mathematical model was developed for the purpose of providing students with data : acquisition and engine modeling experience at the University of Idaho. In developing the : model, multiple heat transfer and emissions models were researched and com...

  19. The Accountable Curriculum: A Merit-Based High School Diploma Program.

    ERIC Educational Resources Information Center

    Stumpo, Vincent M.

    1997-01-01

    Recent research on student achievement conducted by the National Assessment for Educational Progress (NAEP) indicates that American students are deficient in reading, mathematics, writing, and other skills. To reverse this trend, the Accountable Curriculum, a program that raises expectations for students was created. The program is a departure…

  20. An Engineering Mentor's Take on "FIRST" Robotics

    ERIC Educational Resources Information Center

    Jackson, Jim

    2013-01-01

    In this article, the author describes a program that he says has "made being smart cool." "FIRST" (For Inspiration and Recognition of Science and Technology) Robotics has made a significant contribution toward progress in advancing science, technology, engineering, and mathematics (STEM) courses and STEM careers with young people. "FIRST" Robotics…

  1. ADVANCing the Agenda for Gender Equity

    ERIC Educational Resources Information Center

    Laursen, Sandra L.; Austin, Ann E.; Soto, Melissa; Martinez, Dalinda

    2015-01-01

    In recent years, women's representation in the science, technology, engineering, and mathematics (STEM) fields has grown at the undergraduate level, with STEM degrees earned by US women reaching parity in some fields and making notable progress in others. Yet the faculty with whom these undergraduates interact in classes and labs are much less…

  2. Real-Life Maths and Science

    ERIC Educational Resources Information Center

    Shields, Tanya

    2012-01-01

    As a primary teacher in a large junior school the author would spend many Sunday afternoons planning exciting science lessons only to find they did not include sufficient mathematical knowledge and skills. At the time, the Numeracy Strategy was spreading through classrooms like wildfire. Meanwhile, science lessons were progressing under the…

  3. [Upon scientific accuracy scheme at clinical specialties].

    PubMed

    Ortega Calvo, M

    2006-11-01

    Will be medical specialties like sciences in the future? Yes, progressively they will. Accuracy in clinical specialties will be dissimilar in the future because formal-logic mathematics, quantum physics advances and relativity theory utilities. Evidence based medicine is now helping to clinical specialties on scientific accuracy by the way of decision theory.

  4. National Assessment Technical Quality.

    ERIC Educational Resources Information Center

    Chelimsky, Eleanor

    In 1991 the National Assessment Governing Board (NAGB) released a report interpreting the achievement of U.S. students in mathematics on the 1990 National Assessment of Educational Progress in terms of a set of performance standards. The NAGB had been designing and implementing an approach to defining basic, proficient, and advanced levels of…

  5. Mathematics Skills and NAEP Results over a Generation

    ERIC Educational Resources Information Center

    Rutledge, Zachary; Kloosterman, Peter; Kenney, Patricia Anne

    2009-01-01

    This article describes the performance of seventeen-year-olds on the Long-Term Trend program of the National Assessment of Educational Progress. The analysis focuses on a selection of questions from the assessment on which performance has changed significantly between 1982 and 2004. (Contains 2 tables and 5 figures.)

  6. First Graders' Number Knowledge

    ERIC Educational Resources Information Center

    Thomas, Jonathan N.; Tabor, Pamela D.; Wright, Robert J.

    2010-01-01

    As young children make sense of mathematics, they begin to see with new eyes. What once was uncertain may now be determined. Objects become countable; fingers become tools; and numbers become more than just names. Educators revel in such developments--which mark significant progress toward more sophisticated understanding of number--and work…

  7. STEM Careers Days at City and Islington College

    ERIC Educational Resources Information Center

    Swinscoe, David

    2011-01-01

    In many UK secondary schools, pupils, parents and teachers have limited knowledge about careers available through studying Science, Technology, Engineering and Mathematics (STEM) subjects and the progression pathways to these careers. Pupils need confidence that studying science will lead them to something useful and of value to them in the…

  8. Procedures for Empirical Determination of En-Route Criterion Levels.

    ERIC Educational Resources Information Center

    Moncrief, Michael H.

    En-route Criterion Levels (ECLs) are defined as decision rules for predicting pupil readiness to advance through an instructional sequence. This study investigated the validity of present ELCs in an individualized mathematics program and tested procedures for empirically determining optimal ECLs. Retest scores and subsequent progress were…

  9. Arizona's Instrument to Measure Standards (AIMS DPA). Student Guide, Grade 8

    ERIC Educational Resources Information Center

    Arizona Department of Education, 2006

    2006-01-01

    Arizona's Instrument to Measure Standards (AIMS), a Standards-Based test, provides educators and the public with valuable information regarding the progress of Arizona's students toward mastering Arizona's reading, writing and mathematics Standards. This specific test, Arizona's Instrument to Measure Standards Dual Purpose Assessment (AIMS DPA) is…

  10. Validating a Learning Progression in Mathematical Functions for College Readiness

    ERIC Educational Resources Information Center

    Wilmot, Diana Bernbaum; Schoenfeld, Alan; Wilson, Mark; Champney, Danielle; Zahner, William

    2011-01-01

    Current college admissions tests inadequately predict college success (Geiser & Studley, 2002) and provide insufficient information for students and teachers regarding college readiness at earlier stages of students' academic careers (Olson, 2006). This article reports on the creation and validation of a more informative test rooted in college…

  11. The Leaning (Toppling?) Tower of PISA

    ERIC Educational Resources Information Center

    Bracey, Gerald W.

    2008-01-01

    One can not help but notice that the education community's professional fear-mongers focus heavily on PISA (Program of International Student Assessment) and rarely mention TIMSS (Trends in International Mathematics and Science Study) or PIRLS (Progress in International Reading Study) in their discussion of the state of education in the United…

  12. 12 CFR 213.4 - Content of disclosures.

    Code of Federal Regulations, 2010 CFR

    2010-01-01

    ... mathematical progression of how the scheduled periodic payment is derived, in a format substantially similar to... the end of the lease term; and the amount or a description of the method for determining the amount of... specify the amount or method for determining any charge for excess mileage. (i) Purchase option. A...

  13. Turkish Students' Science Performance and Related Factors in PISA 2006 and 2009

    ERIC Educational Resources Information Center

    Topçu, Mustafa Sami; Arikan, Serkan; Erbilgin, Evrim

    2015-01-01

    The OECD's Programme for International Student Assessment (PISA) enables participating countries to monitor 15-year old students' progress in reading, mathematics, and science literacy. The present study investigates persistent factors that contribute to science performance of Turkish students in PISA 2006 and PISA 2009. Additionally, the study…

  14. EFFICIENCY OF CAPPING CONTAMINATED SEDIMENTS IN SITU: 2. MATHEMATICS OF DIFFUSION-ADSORPTION IN THE CAPPING LAYER. (R825513C009)

    EPA Science Inventory

    The perspectives, information and conclusions conveyed in research project abstracts, progress reports, final reports, journal abstracts and journal publications convey the viewpoints of the principal investigator and may not represent the views and policies of ORD and EPA. Concl...

  15. Writing in Maths

    ERIC Educational Resources Information Center

    Australian Primary Mathematics Classroom, 2009

    2009-01-01

    Students write definitions or explanations of mathematical words or symbols in their own words. These can be collated and added to as the year progresses to form a class dictionary that all students can access as required, or students could create their own personal dictionaries. This article presents a collection of ideas for incorporating…

  16. English Learners' (ELs') Trends from the Nation's Report Card. Fast Facts

    ERIC Educational Resources Information Center

    Office of English Language Acquisition, US Department of Education, 2016

    2016-01-01

    The National Assessment of Educational Progress (NAEP), also known as the Nation's Report Card, is the largest continuing and nationally representative assessment of what students know about mathematics, reading, science, writing, the arts, civics, economics, geography, U.S. history, and technology and engineering literacy. This fact sheet reports…

  17. Algebra 2u, Mathematics (Experimental): 5216.26.

    ERIC Educational Resources Information Center

    Crawford, Glenda

    The sixth in a series of six guidebooks on minimum course content for second-year algebra, this booklet presents an introduction to sequences, series, permutation, combinations, and probability. Included are arithmetic and geometric progressions and problems solved by counting and factorials. Overall course goals are specified, a course outline is…

  18. Progress Report, June 1974: Reaching Out...

    ERIC Educational Resources Information Center

    Research for Better Schools, Inc., Philadelphia, PA.

    This report reviews programs of individualized instruction in the basic skills of mathematics, language arts, science, and social education as well as in new curriculums which foster the skills needed for social education as well and emotional growth. The development and operation of an experience-based model for career education is described, and…

  19. Research on Curricular Development for Pre-Kindergarten Mathematics and Science

    ERIC Educational Resources Information Center

    Kinzie, Mable B.; Whittaker, Jessica Vick; McGuire, Pat; Lee, Youngju; Kilday, Carolyn

    2015-01-01

    Background/Context: As increasing attention is paid to preparing students to succeed in school, the development and adoption of research-based curricula have become progressively more important. However, many curricular designs lack a basis in scientific evidence; research and curricular design are frequently treated as two separate enterprises.…

  20. Modeling Tumor Clonal Evolution for Drug Combinations Design.

    PubMed

    Zhao, Boyang; Hemann, Michael T; Lauffenburger, Douglas A

    2016-03-01

    Cancer is a clonal evolutionary process. This presents challenges for effective therapeutic intervention, given the constant selective pressure towards drug resistance. Mathematical modeling from population genetics, evolutionary dynamics, and engineering perspectives are being increasingly employed to study tumor progression, intratumoral heterogeneity, drug resistance, and rational drug scheduling and combinations design. In this review, we discuss promising opportunities these inter-disciplinary approaches hold for advances in cancer biology and treatment. We propose that quantitative modeling perspectives can complement emerging experimental technologies to facilitate enhanced understanding of disease progression and improved capabilities for therapeutic drug regimen designs.

Some links on this page may take you to non-federal websites. Their policies may differ from this site.
Top