Evaluating the Effectiveness of the 2000-2001 NASA "Why?" Files Program

NASA Technical Reports Server (NTRS)

Pinelli, Thomas E.; Frank, Kari Lou; Ashcroft, Scott B.; Williams, Amy C.

2002-01-01

NASA 'Why?' Files, a research and standards-based, Emmy-award winning series of 60-minute instructional programs for grades 3-5, introduces students to NASA; integrates mathematics, science, and technology by using Problem-Based Learning (PBL), scientific inquiry, and the scientific method; and motivates students to become critical thinkers and active problem solvers. All four 2000-2001 NASA 'Why?' Files programs include an instructional broadcast, a lesson guide, an interactive web site, plus numerous instructional resources. In March 2001, 1,000 randomly selected program registrants participated in a survey. Of these surveys, 185 (154 usable) met the established cut-off date. Respondents reported that (1) they used the four programs in the 2000-2001 NASA 'Why?' Files series; (2) series goals and objectives were met; (3) programs met national mathematics, science, and technology standards; (4) program content was developmentally appropriate for grade level; and (5) programs enhanced/enriched the teaching of mathematics, science, and technology.

Scale and the Evolutionarily Based Approximate Number System: An Exploratory Study

ERIC Educational Resources Information Center

Delgado, Cesar; Jones, M. Gail; You, Hye Sun; Robertson, Laura; Chesnutt, Katherine; Halberda, Justin

2017-01-01

Crosscutting concepts such as "scale, proportion, and quantity" are recognised by U.S. science standards as a potential vehicle for students to integrate their scientific and mathematical knowledge; yet, U.S. students and adults trail their international peers in scale and measurement estimation. Culturally based knowledge of scale such…

A Case Study of Teachers' Development of Well-Structured Mathematical Modelling Activities

ERIC Educational Resources Information Center

Stohlmann, Micah; Maiorca, Cathrine; Allen, Charlie

2017-01-01

This case study investigated how three teachers developed mathematical modelling activities integrated with content standards through participation in a course on mathematical modelling. The class activities involved experiencing a mathematical modelling activity, reading and rating example mathematical modelling activities, reading articles about…

Integrating Security into the Curriculum

DTIC Science & Technology

1998-12-01

predicate calculus, discrete math , and finite-state machine the- ory. In addition to applying standard mathematical foundations to constructing hardware and...models, specifi- cations, and the use of formal methods for verification and covert channel analysis. The means for analysis is based on discrete math , information

Remodeling Science Education

ERIC Educational Resources Information Center

Hestenes, David

2013-01-01

Radical reform in science and mathematics education is needed to prepare citizens for challenges of the emerging knowledge-based global economy. We consider definite proposals to establish: (1) "Standards of science and math literacy" for all students. (2) "Integration of the science curriculum" with structure of matter,…

Teachers' Implementation of Pre-Constructed Dynamic Geometry Tasks in Technology-Intensive Algebra 1 Classrooms

ERIC Educational Resources Information Center

Cayton, Charity Sue-Adams

2012-01-01

Technology use and a focus on 21st century skills, coupled with recent adoption of Common Core State Standards for Mathematics, marks a new challenge for mathematics teachers. Communication, discourse, and tools for enhancing discourse (NCTM, 1991, 2000) play an integral role in successful implementation of technology and mathematics standards.…

MATHEMATICAL METHODS IN MEDICAL IMAGE PROCESSING

PubMed Central

ANGENENT, SIGURD; PICHON, ERIC; TANNENBAUM, ALLEN

2013-01-01

In this paper, we describe some central mathematical problems in medical imaging. The subject has been undergoing rapid changes driven by better hardware and software. Much of the software is based on novel methods utilizing geometric partial differential equations in conjunction with standard signal/image processing techniques as well as computer graphics facilitating man/machine interactions. As part of this enterprise, researchers have been trying to base biomedical engineering principles on rigorous mathematical foundations for the development of software methods to be integrated into complete therapy delivery systems. These systems support the more effective delivery of many image-guided procedures such as radiation therapy, biopsy, and minimally invasive surgery. We will show how mathematics may impact some of the main problems in this area, including image enhancement, registration, and segmentation. PMID:23645963

An Evaluation of Integrated Curriculum as It Exists in Mathematics and Science SSS as Well as the Subsequent Supportive Presentation of Those Standards in Eighth Grade Mathematics and Science Textbooks

ERIC Educational Resources Information Center

Gill, Clara Joanne Schneberger

2010-01-01

This study attempted to verify points of intersection (POIs) between mathematics and science in the eighth grade Sunshine State Standards (SSS), and to develop a valid and reliable instrument to evaluate these POIs as they were presented in the respective mathematics and science textbooks approved for use in Florida public schools. Shannon and…

Exploring the Impact of a Standards-Based Mathematics and Pedagogy Class on Preservice Teachers' Beliefs and Subject Matter Knowledge

ERIC Educational Resources Information Center

Stohlmann, Micah Stephen

2012-01-01

This case study explored the impact of a standards-based mathematics and pedagogy class on preservice elementary teachers' beliefs and conceptual subject matter knowledge of linear functions. The framework for the standards-based mathematics and pedagogy class in this study involved the National Council of Teachers of Mathematics Standards,…

Integrating STEM education through Project-Based Inquiry Learning (PIL) in topic space among year one pupils

NASA Astrophysics Data System (ADS)

Ng, Chee Hoe; Adnan, M.

2018-01-01

This research aims to investigate the effect of integrating STEM education through Project-based Inquiry Learning (PIL) and the users of the STEM modules which consists of five projects on topic Space in Year One Mathematics Syllabus in Kurikulum Standard Sekolah Rendah (KSSR) of Malaysia. STEM education in primary school focuses on the introduces and awareness of students about the importance of STEM education. The projects in STEM modules are covering the different ethnic cultures in Malaysia. The modules are designed using the four phases in PIL. Concepts and the explanation of STEM education on each project are emphasized and provided in the modules so the teachers able to carry out the projects by using the modules. By using the modules in primary Mathematics, the students and teachers will be more understanding on how to integrate the Mathematics’ concepts in STEM education.

Scale and the evolutionarily based approximate number system: an exploratory study

NASA Astrophysics Data System (ADS)

Delgado, Cesar; Jones, M. Gail; You, Hye Sun; Robertson, Laura; Chesnutt, Katherine; Halberda, Justin

2017-05-01

Crosscutting concepts such as scale, proportion, and quantity are recognised by U.S. science standards as a potential vehicle for students to integrate their scientific and mathematical knowledge; yet, U.S. students and adults trail their international peers in scale and measurement estimation. Culturally based knowledge of scale such as measurement units may be built on evolutionarily-based systems of number such as the approximate number system (ANS), which processes approximate representations of numerical magnitude. ANS is related to mathematical achievement in pre-school and early elementary students, but there is little research on ANS among older students or in science-related areas such as scale. Here, we investigate the relationship between ANS precision in public school U.S. seventh graders and their accuracy estimating the length of standard units of measurement in SI and U.S. customary units. We also explored the relationship between ANS and science and mathematics achievement. Accuracy estimating the metre was positively and significantly related to ANS precision. Mathematics achievement, science achievement, and accuracy estimating other units were not significantly related to ANS. We thus suggest that ANS precision may be related to mathematics understanding beyond arithmetic, beyond the early school years, and to the crosscutting concepts of scale, proportion, and quantity.

On Fences, Forms and Mathematical Modeling

ERIC Educational Resources Information Center

Lege, Jerry

2009-01-01

The white picket fence is an integral component of the iconic American townscape. But, for mathematics students, it can be a mathematical challenge. Picket fences in a variety of styles serve as excellent sources to model constant, step, absolute value, and sinusoidal functions. "Principles and Standards for School Mathematics" (NCTM 2000)…

Insights from a Convocation: Integrating Discovery-Based Research into the Undergraduate Curriculum

ERIC Educational Resources Information Center

Elgin, Sarah C. R.; Bangera, Gita; Decatur, Sean M.; Dolan, Erin L.; Guertin, Laura; Newstetter, Wendy C.; San Juan, Elvyra F.; Smith, Mary A.; Weaver, Gabriela C.; Wessler, Susan R.; Brenner, Kerry A.; Labov, Jay B.

2016-01-01

Recommendation 2 of the February 2012 report "Engage to Excel" from the President's Council of Advisors on Science and Technology (PCAST 2012) urges the science, technology, engineering, and mathematics (STEM) education community and funding agencies to "advocate and provide support for replacing standard laboratory courses with…

Modeling Nuclear Decay: A Point of Integration between Chemistry and Mathematics.

ERIC Educational Resources Information Center

Crippen, Kent J.; Curtright, Robert D.

1998-01-01

Describes four activities that use graphing calculators to model nuclear-decay phenomena. Students ultimately develop a notion about the radioactive waste produced by nuclear fission. These activities are in line with national educational standards and allow for the integration of science and mathematics. Contains 13 references. (Author/WRM)

An Investigation of the Engagement of Elementary Students in the NCTM Process Standards after One Year of Standards-Based Instruction

ERIC Educational Resources Information Center

Fillingim, Jennifer Gale

2010-01-01

Contemporary mathematics education reform has placed increased emphasis on K-12 mathematics curriculum. Reform-based curricula, often referred to as "Standards-based" due to philosophical alignment with the NCTM Process Standards, have generated controversy among families, educators, and researchers. The mathematics education research…

Problem Solving in the Digital Age: New Ideas for Secondary Mathematics Teacher Education

ERIC Educational Resources Information Center

Abramovich, Sergei; Connell, Michael

2017-01-01

The paper reflects on an earlier research on the use of technology in secondary mathematics teacher education through the lenses of newer digital tools (Wolfram Alpha, Maple), most recent standards for teaching mathematics, and recommendations for the preparation of schoolteachers. New ideas of technology integration into mathematics education…

Practical Insights into Curricula Integration for Primary Science

ERIC Educational Resources Information Center

Hudson, Peter

2012-01-01

As indicated in a previous Teaching Science article, effective planning for curricula integration requires using standards from two (or more) subject areas (e.g., Science and English, Science and Art or Science and Mathematics), which also becomes the assessment foci for teaching and learning. Curricula integration of standards into an activity…

Going with the Flow: Challenging Students to Make Assumptions

ERIC Educational Resources Information Center

Felton, Mathew D.; Anhalt, Cynthia O.; Cortez, Ricardo

2015-01-01

Many current and future teachers have little experience with modeling and how to integrate it into their teaching. However, with the introduction of the Common Core State Standards for Mathematics (CCSSM) and its emphasis on mathematical modeling in all grades (CCSSI 2010), this integration has become paramount. Therefore, middle-grades teachers…

Integration of Mathematical and Natural-Science Knowledge in School Students' Project-Based Activity

ERIC Educational Resources Information Center

Luneeva, Olga L.; Zakirova, Venera G.

2017-01-01

New educational standards implementation prioritizes the projective beginning of training in school education. Therefore, consideration of educational activity only as the process of obtaining ready knowledge should be abandoned. Thus the relevance of the studied problem is substantiated by the need to develop methodical works connected with the…

NASA CONNECT: Dancing in the Night Sky. [Videotape].

ERIC Educational Resources Information Center

National Aeronautics and Space Administration, Hampton, VA. Langley Research Center.

NASA CONNECT is a research and standards-based annual series of integrated mathematics, science, and technology instructional distance learning programs for students in grades 6-8. This program has three components: (1) a 30-minute television broadcast which can be viewed live or taped for later use; (2) a companion educator's guide including a…

Mathematical Knowledge for Teaching, Standards-Based Mathematics Teaching Practices, and Student Achievement in the Context of the "Responsive Classroom Approach"

ERIC Educational Resources Information Center

Ottmar, Erin R.; Rimm-Kaufman, Sara E.; Larsen, Ross A.; Berry, Robert Q.

2015-01-01

This study investigates the effectiveness of the Responsive Classroom (RC) approach, a social and emotional learning intervention, on changing the relations between mathematics teacher and classroom inputs (mathematical knowledge for teaching [MKT] and standards-based mathematics teaching practices) and student mathematics achievement. Work was…

Technology in K-12 Mathematics Classrooms

ERIC Educational Resources Information Center

Ozel, Serkan; Yetkiner, Zeynep Ebrar; Capraro, Robert M.

2008-01-01

Technology integration in mathematics classrooms is important to the field of education, not only because today's society is becoming more and more advanced and reliant upon technology but also because schools are beginning to embrace technology as an essential part of their curricula. The Principles and Standards for School Mathematics (National…

The Intersection of Inquiry-Based Science and Language: Preparing Teachers for ELL Classrooms

ERIC Educational Resources Information Center

Weinburgh, Molly; Silva, Cecilia; Smith, Kathy Horak; Groulx, Judy; Nettles, Jenesta

2014-01-01

As teacher educators, we are tasked with preparing prospective teachers to enter a field that has undergone significant changes in student population and policy since we were K-12 teachers. With the emphasis placed on connections, mathematics integration, and communication by the New Generation Science Standards (NGSS) (Achieve in Next generation…

Prospective Teachers' Perspectives on Mathematics Teaching and Learning: Lens for Interpreting Experiences in a Standards-Based Mathematics Course

ERIC Educational Resources Information Center

Chamberlin, Michelle T.

2013-01-01

In a mathematics course for prospective elementary teachers, we strove to model standards-based pedagogy. However, an end-of-class reflection revealed the prospective teachers were considering incorporating standards-based strategies in their future classrooms in ways different from our intent. Thus, we drew upon the framework presented by Simon,…

Rural High School Mathematics Teachers' Response to Mathematics Reform Curriculum Integration and Professional Development

ERIC Educational Resources Information Center

Cox, Teodora B.

2009-01-01

The purpose of this qualitative study was to examine rural high school mathematics teachers' responses to the initial implementation of Louisiana's "Comprehensive Curriculum" during their second year of involvement in a professional development program. The curriculum changes were the culmination of an alignment between standards,…

Best Known Problem Solving Strategies in "High-Stakes" Assessments

ERIC Educational Resources Information Center

Hong, Dae S.

2011-01-01

In its mathematics standards, National Council of Teachers of Mathematics (NCTM) states that problem solving is an integral part of all mathematics learning and exposure to problem solving strategies should be embedded across the curriculum. Furthermore, by high school, students should be able to use, decide and invent a wide range of strategies.…

Mathematical-Artificial Neural Network Hybrid Model to Predict Roll Force during Hot Rolling of Steel

NASA Astrophysics Data System (ADS)

Rath, S.; Sengupta, P. P.; Singh, A. P.; Marik, A. K.; Talukdar, P.

2013-07-01

Accurate prediction of roll force during hot strip rolling is essential for model based operation of hot strip mills. Traditionally, mathematical models based on theory of plastic deformation have been used for prediction of roll force. In the last decade, data driven models like artificial neural network have been tried for prediction of roll force. Pure mathematical models have accuracy limitations whereas data driven models have difficulty in convergence when applied to industrial conditions. Hybrid models by integrating the traditional mathematical formulations and data driven methods are being developed in different parts of world. This paper discusses the methodology of development of an innovative hybrid mathematical-artificial neural network model. In mathematical model, the most important factor influencing accuracy is flow stress of steel. Coefficients of standard flow stress equation, calculated by parameter estimation technique, have been used in the model. The hybrid model has been trained and validated with input and output data collected from finishing stands of Hot Strip Mill, Bokaro Steel Plant, India. It has been found that the model accuracy has been improved with use of hybrid model, over the traditional mathematical model.

The Relationship between Reading Level and Sixth Grade Students' Acquisition of Mathematics Standards

ERIC Educational Resources Information Center

Caruthers, Tarchell Peeples

2013-01-01

Current research shows that, despite standards-based mathematics reform, American students lag behind in mathematics achievement when compared to their counterparts in other countries. The purpose of this mixed methods study was to examine if reading level, as measured by the Scholastic Reading Inventory, is related to standards-based mathematics…

Material Encounters with Mathematics: The Case for Museum Based Cross-Curricular Integration

ERIC Educational Resources Information Center

de Freitas, Elizabeth; Bentley, Sean J.

2012-01-01

This paper reports on research from a network of high school and museum partnerships designed to explore techniques for integrating mathematics and physics learning experiences during the first year of high school. The foundation of the curriculum is a problem-based, museum-based, and hands-on approach to mathematics and physics. In this paper, we…

What Should We Grow in Our School Garden to Sell at the Farmers' Market? Initiating Statistical Literacy through Science and Mathematics Integration

ERIC Educational Resources Information Center

Selmer, Sarah J.; Rye, James A.; Malone, Elizabeth; Fernandez, Danielle; Trebino, Kathryn

2014-01-01

Statistical literacy is essential to scientific literacy, and the quest for such is best initiated in the elementary grades. The "Next Generation Science Standards and the Common Core State Standards for Mathematics" set forth practices (e.g., asking questions, using tools strategically to analyze and interpret data) and content (e.g.,…

Using Composition Techniques To Improve Classroom Instruction and Students' Understanding of Proof.

ERIC Educational Resources Information Center

Goff, Christopher Dale

2002-01-01

Describes an effort to incorporate standard composition exercises into a sophomore-level discrete mathematics class. Provides an example of how peer review can be integrated with a mathematical curriculum through the writing of proofs. (Author/KHR)

Equity in Standards-Based Elementary Mathematics Classrooms. Weaving Gender Equity into Math Reform.

ERIC Educational Resources Information Center

Perez, Christina

This article discusses the issue of equity in standards-based elementary mathematics classrooms. It is argued that while some of the gaps in mathematics achievement have slowly diminished (e.g., differences in mathematics grades and participation rates between girls and boys in K-12 education have decreased), others remain intractable. Other…

Construction of teacher knowledge in context: Preparing elementary teachers to teach mathematics and science

NASA Astrophysics Data System (ADS)

Lowery, Maye Norene Vail

1998-12-01

The purposes of this study were to further the understanding of how preservice teacher construct teacher knowledge and pedagogical content knowledge of elementary mathematics and science and to determine the extent of that knowledge in a school-based setting. Preservice teachers, university instructors, inservice teachers, and other school personnel were involved in this context-specific study. Evidence of the preservice teachers' knowledge construction (its acquisition, its dimensions, and the social context) was collected through the use of a qualitative methodology. Collected data included individual and group interviews, course documents, artifacts, and preservice teaching portfolios. Innovative aspects of this integrated mathematics and science elementary methods course included standards-based instruction with immediate access to field experiences. Grade-level teams of preservice and inservice teachers planned and implemented lessons in mathematics and science for elementary students. An on-site, portable classroom building served as a mathematics and science teaching and learning laboratory. A four-stage analysis was performed, revealing significant patterns of learning. An ecosystem of learning within a constructivist learning environment was identified to contain three systems: the university system; the school system; and the cohort of learners system. A mega system for the construction of teacher knowledge was revealed in the final analysis. Learning venues were discovered to be the conduits of learning in a situated learning context. Analysis and synthesis of data revealed an extensive acquisition of teacher knowledge and pedagogical content knowledge through identified learning components. Patience, flexibility, and communication were identified as necessities for successful teaching. Learning components included: collaboration with inservice teachers; implementation of discovery learning and hands-on/minds-on learning; small groupwork; lesson planning; classroom management; and application of standards-based instruction. Prolonged, extensive classroom involvement provided familiarity with the ability levels of elementary students. Gains in positive attitudes and confidence in teaching mathematics and science were identified as direct results of this experience. This may be attributed to the immersion in the school-based setting (hands-on) and the standards-based approach (minds-on) methods course. The results are written in case study form using thick description with an emphasis on preservice teachers.

Discourse-Based Instructional Strategies to Engage Middle School Students with Standards for Mathematical

ERIC Educational Resources Information Center

Cookson, Sandra

2017-01-01

Student achievement in mathematics is correlated with factors related to student engagement. Improving engagement has the potential to improve student achievement at the middle school level. The Common Core State Standards for Mathematics explicate eight specific Standards for Mathematical Practice (SMPs) that clarify the types of skills and…

Integrating First-Year Technology and Finite Mathematics Courses

ERIC Educational Resources Information Center

Shafii-Mousavi, Morteza; Kochanowski, Paul

2006-01-01

This paper describes an interdisciplinary project-based mathematics course linked to a computer technology course. The linkage encourages an appreciation of mathematics and technology as students see an immediate use for these skills in completing actual real-world projects. Linking mathematics and technology integrates subjects taught in…

Integrating to Learn and Learning to Integrate: A Case Study of an Online Master's Program on Science-Mathematics Integration for Middle School Teachers

ERIC Educational Resources Information Center

Lee, Mimi Miyoung; Chauvot, Jennifer; Plankis, Brian; Vowell, Julie; Culpepper, Shea

2011-01-01

iSMART (Integration of Science, Mathematics, and Reflective Teaching) Program is an online science and mathematics integrated graduate program for middle school teachers across the state of Texas. As part of a large design-based research project, this paper describes the initial stages of the design process of the iSMART program for its first…

Mechanical Model of Traditional Thai Massage for Integrated Healthcare.

PubMed

Rattanaphan, Salinee; Srichandr, Panya

2015-01-01

In this study, a mechanical model was developed, aiming to provide standardized and programmable traditional Thai massage (TTM) therapy to patients. The TTM was modeled and integrated into a mechanical hand (MH) system, and a prototype massage chair was built and tested for user satisfaction. Three fundamental principles of Thai massage were integrated: pull, press, and pin. Based on these principles, the mechanics of Thai massage was studied and a mathematical model was developed to describe the dynamics and conditions for the design and prototyping of an MH. On average, it was found that users were satisfied with the treatment and felt that the treatment was similar to that performed by human hands. According to the interview results, users indicated that they were likely to utilize the MH as an alternative to traditional massage. Therefore, integrated TTM with an MH may help healthcare providers deliver standardized, programmable massage therapy to patients as opposed to variable, inconsistent human massage.

Modelling of and Conjecturing on a Soccer Ball in a Korean Eighth Grade Mathematics Classroom

ERIC Educational Resources Information Center

Lee, Kyeong-Hwa

2011-01-01

The purpose of this article was to describe the task design and implementation of cultural artefacts in a mathematics lesson based on the integration of modelling and conjecturing perspectives. The conceived process of integrating a soccer ball into mathematics lessons via modelling- and conjecturing-based instruction was first detailed. Next, the…

"Standards"-Based Mathematics Curricula and the Promotion of Quantitative Literacy in Elementary School

ERIC Educational Resources Information Center

Wilkins, Jesse L. M.

2015-01-01

Background: Prior research has shown that students taught using "Standards"-based mathematics curricula tend to outperform students on measures of mathematics achievement. However, little research has focused particularly on the promotion of student quantitative literacy (QLT). In this study, the potential influence of the…

The Effect of an Integrated Science and Mathematics Content-Based Course on Science and Mathematics Teaching Efficacy of Preservice Elementary Teachers

ERIC Educational Resources Information Center

Moseley, Christine; Utley, Juliana

2006-01-01

The purpose of this study was to determine the effect of an earth systems science course (integrated mathematics and science content) on preservice elementary teachers' mathematics and science teaching efficacy. Paired t-tests revealed that the personal mathematics and science teaching efficacy and science teaching outcome expectancy significantly…

Implications of intelligent, integrated microsystems for product design and development

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

MYERS,DAVID R.; MCWHORTER,PAUL J.

2000-04-19

Intelligent, integrated microsystems combine some or all of the functions of sensing, processing information, actuation, and communication within a single integrated package, and preferably upon a single silicon chip. As the elements of these highly integrated solutions interact strongly with each other, the microsystem can be neither designed nor fabricated piecemeal, in contrast to the more familiar assembled products. Driven by technological imperatives, microsystems will best be developed by multi-disciplinary teams, most likely within the flatter, less hierarchical organizations. Standardization of design and process tools around a single, dominant technology will expedite economically viable operation under a common production infrastructure.more » The production base for intelligent, integrated microsystems has elements in common with the mathematical theory of chaos. Similar to chaos theory, the development of microsystems technology will be strongly dependent on, and optimized to, the initial product requirements that will drive standardization--thereby further rewarding early entrants to integrated microsystem technology.« less

Concerning the Integral dx/x[superscript m] (1+x)

ERIC Educational Resources Information Center

Walters, William; Huber, Michael

2010-01-01

Consider the integral dx/x[superscript m] (1+x). In the "CRC Standard Mathematical Tables," this integral can require repeated integral evaluations. Enter this integral into your favourite computer algebra system, and the results may be unrecognizable. In this article, we seek to provide a simpler evaluation for integrals of this form. We state up…

Variables that Affect Math Teacher Candidates' Intentions to Integrate Computer-Assisted Mathematics Education (CAME)

ERIC Educational Resources Information Center

Erdogan, Ahmet

2010-01-01

Based on Social Cognitive Carier Theory (SCCT) (Lent, Brown, & Hackett, 1994, 2002), this study tested the effects of mathematics teacher candidates' self-efficacy in, outcome expectations from, and interest in CAME on their intentions to integrate Computer-Assisted Mathematics Education (CAME). While mathematics teacher candidates' outcome…

Throw Away Your Mathematical Handbook! Undergraduate Physics with Wolfram|Alpha, a FREE(!) Internet-Based Mathematical Engine

NASA Astrophysics Data System (ADS)

Looney, Craig W.

2009-10-01

Wolfram|Alpha (http://www.wolframalpha.com/), a free internet-based mathematical engine released earlier this year, represents an orders-of magnitude advance in mathematical power freely available - without money, passwords, or downloads - on the web. Wolfram|Alpha is based on Mathematica, so it can plot functions, take derivatives, solve systems of equations, perform symbolic and numerical integration, and more. These capabilities (especially plotting and integration) will be explored in the context of topics covered in upper level undergraduate physics courses.

Are Three Sheets Enough? Using Toilet Paper to Teach Science and Mathematics

ERIC Educational Resources Information Center

Woolverton, Christopher J.; Woolverton, Lyssa N.

2006-01-01

Toilet paper (TP) composition and physical characteristics were used to model scientific investigations that combined several "National Science Education Standards." Experiments with TP permitted the integration of TP history, societal change resulting from invention, mathematics (including geometry and statistics), germ theory, and personal…

Integrating Technology, Pedagogy and Content in Mathematics Education

ERIC Educational Resources Information Center

Handal, Boris; Campbell, Chris; Cavanagh, Michael; Petocz, Peter; Kelly, Nick

2012-01-01

The need for appraising the effective integration of technologies into teaching and learning within a disciplinary context is crucial for upholding quality teaching standards in schools and formulating professional development programs. This paper describes the development and validation of an instrument aimed at characterising the integration of…

Bringing Stories to Life: Integrating Literature and Math Manipulatives

ERIC Educational Resources Information Center

Larson, Lotta C.; Rumsey, Chepina

2018-01-01

This Teaching Tip describes the use of children's literature to help second-grade students meet Common Core State Standards for English Language Arts and for Mathematics. During a shared reading experience, students used manipulatives to represent plot and characters while demonstrating mathematical reasoning. The article offers instructional…

Principles to Actions: Mathematics Programs as the Core for Student Learning

ERIC Educational Resources Information Center

Brahier, Daniel; Leinwand, Steve; Huniker, DeAnn

2014-01-01

The National Council of Teachers of Mathematics (NCTM) launched the "standards-based" education movement in North America in 1989 with the release of "Curriculum and Evaluation Standards for School Mathematics," an unprecedented action to promote systemic improvement in mathematics education. Now, twenty-five years later, the…

Implementing Standards-Based Mathematics Instruction: A Casebook for Professional Development.

ERIC Educational Resources Information Center

Stein, Mary Kay; Smith, Margaret Schwan; Henningsen, Marjorie A.; Silver, Edward A.

Teachers and teacher educators interested in synthesizing their current practice with new mathematics standards will welcome this highly useful volume. The QUASAR Project at the University of Pittsburgh presents prevalent cases of mathematics instruction drawn from their research of nearly 500 classroom lessons. The Mathematical Tasks…

Attitudes towards Science, Technology, Engineering and Mathematics (STEM) in a Project-Based Learning (PjBL) Environment

ERIC Educational Resources Information Center

Tseng, Kuo-Hung; Chang, Chi-Cheng; Lou, Shi-Jer; Chen, Wen-Ping

2013-01-01

Many scholars claimed the integration of science, technology, engineering and mathematics (STEM) education is beneficial to the national economy and teachers and institutes have been working to develop integrated education programs. This study examined a project-based learning (PjBL) activity that integrated STEM using survey and interview…

Utilizing the M-Scan to Measure Standards-Based Mathematics Teaching Practices: Affordances and Limitations

ERIC Educational Resources Information Center

Walkowiak, Temple A.; Berry, Robert Q.; Pinter, Holly H.; Jacobson, Erik D.

2018-01-01

The Mathematics Scan (M-Scan), a content-specific observational measure, was utilized to examine the extent to which "standards-based mathematics teaching practices" were present in three focal lessons. While previous studies have provided evidence of validity of the inferences drawn from M-Scan data, no prior work has investigated the…

Launching Astronomy: Standards and STEM Integration (LASSI)

NASA Astrophysics Data System (ADS)

French, Debbie; Burrows, Andrea C.; Myers, Adam D.

2015-01-01

While astronomy is prevalent in the Next Generation Science Standards, it is often relegated to the '4th nine-weeks' in middle and high school curricula. I.e., it is taught at the end of the year, if time permits. However, astronomy ties in many core ideas from chemistry, earth science, physics, and even biology (with astrobiology being an up-and-coming specialization) and mathematics. Recent missions to Mars have captured students' attention and have added excitement to the fields of engineering and technology. Using astronomy as a vehicle to teach science, technology, engineering, and mathematics (STEM) connects these disciplines in an engaging way. The workshop entitled, 'Launching Astronomy: Standards and STEM Integration,' (LASSI) is a year-long professional development (PD) opportunity for teachers in grades K-12 to use astronomy as a vehicle to teach STEM and implement science standards through astronomy. Eight teachers participated in a two-week summer workshop and six follow-up sessions are scheduled during the 2014-2015 school year. Additional teachers plan to participate in the upcoming follow-up sessions. We evaluate the effectiveness of the LASSI PD to identify and confront teachers' misconceptions in astronomy, and discuss whether teachers identified topics for which astronomy can be used as a vehicle for standards-based STEM curricula. Teachers from around Wyoming were invited to participate. Participating teachers were surveyed on the quality of the workshop, their astronomy content knowledge before and after listening to talks given by experts in the field, conducting standards-based inquiry activities, developing their own lessons, and their level of engagement throughout the workshop. Two-thirds of teachers planned to incorporate LASSI activities into their classrooms in this school year. Teachers' misconceptions and requests for astronomy-based curriculum were identified in the summer session. These will be addressed during the follow-up session. Ninety percent of teachers reported being highly engaged at least 75% of the time. The majority of teachers also anticipated using activities from LASSI in their classrooms.

Toward Technology Integration in Mathematics Education: A Technology-Integration Course Planning Assignment

ERIC Educational Resources Information Center

Kersaint, Gladis

2007-01-01

This article describes a technology integration course planning assignment that was developed to enhance preservice teachers' technological pedagogical content knowledge (TPCK). This assignment required preservice teachers work with peers to integrate various technological tools (e.g., graphing calculators, web-based mathematics applets, etc) in a…

Vertically Integrating Professional Skills throughout a Mathematics Major

ERIC Educational Resources Information Center

Dziak, Clarice; Leventhal, Brian; Luttman, Aaron; Skufca, Joseph

2014-01-01

In response to a university mandate to include "professional issues" as a component of every major, we have developed a vertically integrated approach to incorporating the study of professional skills and issues into the mathematics curriculum. Beginning in the first year of study, mathematics majors take an inquiry-based course in…

Meta-Modeling-Based Groundwater Remediation Optimization under Flexibility in Environmental Standard.

PubMed

He, Li; Xu, Zongda; Fan, Xing; Li, Jing; Lu, Hongwei

2017-05-01

  This study develops a meta-modeling based mathematical programming approach with flexibility in environmental standards. It integrates numerical simulation, meta-modeling analysis, and fuzzy programming within a general framework. A set of models between remediation strategies and remediation performance can well guarantee the mitigation in computational efforts in the simulation and optimization process. In order to prevent the occurrence of over-optimistic and pessimistic optimization strategies, a high satisfaction level resulting from the implementation of a flexible standard can indicate the degree to which the environmental standard is satisfied. The proposed approach is applied to a naphthalene-contaminated site in China. Results show that a longer remediation period corresponds to a lower total pumping rate and a stringent risk standard implies a high total pumping rate. The wells located near or in the down-gradient direction to the contaminant sources have the most significant efficiency among all of remediation schemes.

CCSSM: Getting Started in K-Grade 2

ERIC Educational Resources Information Center

White, Jeanne; Dauksas, Linda

2012-01-01

Rather than feeling overwhelmed at the thought of integrating the new Common Core State Standards for Mathematics (CCSSI 2010) into their teaching practice, teachers might view this as an opportunity to deeply embed mathematics into the K-grade 2 curriculum in the same way that literacy has long been rooted into early learning environments.…

The relationship between standards-based reporting systems and third-grade mathematics and science achievement

NASA Astrophysics Data System (ADS)

Prejean-Harris, Rose M.

Over the last decade, accountability has been the driving force for many changes in education in the United States. One major educational reform effort is the standards-based movement with a focus of combining a number of processes that involve aligning curriculum, instruction, assessment and feedback to specific standards that are measureable and indicative of student achievement. The purpose of this study is to determine if the type of report card is a possible predictor of third grade student achievement on standardized tests in mathematics and science for the 2012 Criterion-Referenced Competency Test (CRCT). The results of this study concluded that the difference in test scores in mathematics and science for students in the traditional report card group was not statistically significant when compared to the scores of students in the standards-based report card group when controlling for poverty level, school locale, and school district. However, students in the traditional report card group scored an average of 1.01 point higher in mathematics and 2.27 points higher in science than students in the standards-based report card group.

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

ERIC Educational Resources Information Center

Liang, Jiajuan; Pan, William S. Y.

2009-01-01

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

BiGG Models: A platform for integrating, standardizing and sharing genome-scale models

DOE PAGES

King, Zachary A.; Lu, Justin; Drager, Andreas; ...

2015-10-17

In this study, genome-scale metabolic models are mathematically structured knowledge bases that can be used to predict metabolic pathway usage and growth phenotypes. Furthermore, they can generate and test hypotheses when integrated with experimental data. To maximize the value of these models, centralized repositories of high-quality models must be established, models must adhere to established standards and model components must be linked to relevant databases. Tools for model visualization further enhance their utility. To meet these needs, we present BiGG Models (http://bigg.ucsd.edu), a completely redesigned Biochemical, Genetic and Genomic knowledge base. BiGG Models contains more than 75 high-quality, manually-curated genome-scalemore » metabolic models. On the website, users can browse, search and visualize models. BiGG Models connects genome-scale models to genome annotations and external databases. Reaction and metabolite identifiers have been standardized across models to conform to community standards and enable rapid comparison across models. Furthermore, BiGG Models provides a comprehensive application programming interface for accessing BiGG Models with modeling and analysis tools. As a resource for highly curated, standardized and accessible models of metabolism, BiGG Models will facilitate diverse systems biology studies and support knowledge-based analysis of diverse experimental data.« less

BiGG Models: A platform for integrating, standardizing and sharing genome-scale models

PubMed Central

King, Zachary A.; Lu, Justin; Dräger, Andreas; Miller, Philip; Federowicz, Stephen; Lerman, Joshua A.; Ebrahim, Ali; Palsson, Bernhard O.; Lewis, Nathan E.

2016-01-01

Genome-scale metabolic models are mathematically-structured knowledge bases that can be used to predict metabolic pathway usage and growth phenotypes. Furthermore, they can generate and test hypotheses when integrated with experimental data. To maximize the value of these models, centralized repositories of high-quality models must be established, models must adhere to established standards and model components must be linked to relevant databases. Tools for model visualization further enhance their utility. To meet these needs, we present BiGG Models (http://bigg.ucsd.edu), a completely redesigned Biochemical, Genetic and Genomic knowledge base. BiGG Models contains more than 75 high-quality, manually-curated genome-scale metabolic models. On the website, users can browse, search and visualize models. BiGG Models connects genome-scale models to genome annotations and external databases. Reaction and metabolite identifiers have been standardized across models to conform to community standards and enable rapid comparison across models. Furthermore, BiGG Models provides a comprehensive application programming interface for accessing BiGG Models with modeling and analysis tools. As a resource for highly curated, standardized and accessible models of metabolism, BiGG Models will facilitate diverse systems biology studies and support knowledge-based analysis of diverse experimental data. PMID:26476456

Content Integration as a Factor in Math-Game Effectiveness

ERIC Educational Resources Information Center

Vandercruysse, Sylke; ter Vrugte, Judith; de Jong, Ton; Wouters, Pieter; van Oostendorp, Herre; Verschaffel, Lieven; Elen, Jan

2017-01-01

In this study we focus on the integration of mathematical learning content (i.e., proportional reasoning) in game-based learning environments (GBLE). More specifically, two kinds of GBLEs are set up: an extrinsically integrated GBLE and an intrinsically integrated GBLE. In the former environment, the mathematical content is not part of the core…

Integrating Mathematical Modeling for Undergraduate Pre-Service Science Education Learning and Instruction in Middle School Classrooms

ERIC Educational Resources Information Center

Carrejo, David; Robertson, William H.

2011-01-01

Computer-based mathematical modeling in physics is a process of constructing models of concepts and the relationships between them in the scientific characteristics of work. In this manner, computer-based modeling integrates the interactions of natural phenomenon through the use of models, which provide structure for theories and a base for…

Managing Mathematics: How Does Classroom Management Affect the Maintenance of High Cognitive Demand Tasks during Lessons with Standards-Based Instructional Materials?

ERIC Educational Resources Information Center

Barriteau Phaire, Candace

2013-01-01

The teaching and learning of mathematics has been the subject of debate for over 30 years and the most recent reform efforts are in response to concerns regarding the mathematical competence of students in the United States (Ball, Hill, & Bass, 2005; Battista, 1994; Cavanagh, 2008). Standards-based Instructional Materials (SBIM) allows…

Listening to Early Career Teachers: How Can Elementary Mathematics Methods Courses Better Prepare Them to Utilize Standards-Based Practices in Their Classrooms?

ERIC Educational Resources Information Center

Coester, Lee Anne

2010-01-01

This study was designed to gather input from early career elementary teachers with the goal of finding ways to improve elementary mathematics methods courses. Multiple areas were explored including the degree to which respondents' elementary mathematics methods course focused on the NCTM Process Standards, the teachers' current standards-based…

A study of the continuum of integration of mathematics content with science concepts at the middle school level in West Virginia

NASA Astrophysics Data System (ADS)

Meisel, Edna Marie

The purpose of this study was to examine the practices and perceptions of regular education seventh grade middle school mathematics teachers in West Virginia concerning the integration of mathematics objectives with science concepts. In addition, this study also emphasized the use of integrated curriculum continuum models to study mathematics teachers' practices and perceptions for teaching mathematics objectives in connection with science concepts. It was argued that the integrated curriculum continuum model can be used to help educators begin to form a common definition of integrated curriculum. The population was described as the regular education seventh grade middle school mathematics teachers in West Virginia. The entire population (N = 173) was used as the participants in this study. Data was collected using an integrated curriculum practices and perceptions survey constructed by the researcher. This was a descriptive study that incorporated the Chi Square statistic to show trends in teacher practices and perceptions. Also, an ex post facto design, that incorporated the Mann-Whitney U statistic, was used to compare practices and perceptions between teachers grouped according to factors that influence teaching practices and perceptions. These factors included teaching certificate endorsement and teacher professional preparation. Results showed that the regular education seventh grade middle school mathematics teachers of West Virginia are teaching mathematics objectives mainly at a discipline-based level with no formal attempt for integration with science concepts. However, these teachers perceived that many of the mathematics objectives should be taught at varying levels of integration with science concepts. It was also shown that teachers who experienced professional preparation courses that emphasized integrated curriculum courses did teach many of the mathematics objectives at higher levels of integration with science than those teachers who did not experience integrated curriculum courses.

ICT integration in mathematics initial teacher training and its impact on visualization: the case of GeoGebra

NASA Astrophysics Data System (ADS)

Dockendorff, Monika; Solar, Horacio

2018-01-01

This case study investigates the impact of the integration of information and communications technology (ICT) in mathematics visualization skills and initial teacher education programmes. It reports on the influence GeoGebra dynamic software use has on promoting mathematical learning at secondary school and on its impact on teachers' conceptions about teaching and learning mathematics. This paper describes how GeoGebra-based dynamic applets - designed and used in an exploratory manner - promote mathematical processes such as conjectures. It also refers to the changes prospective teachers experience regarding the relevance visual dynamic representations acquire in teaching mathematics. This study observes a shift in school routines when incorporating technology into the mathematics classroom. Visualization appears as a basic competence associated to key mathematical processes. Implications of an early integration of ICT in mathematics initial teacher training and its impact on developing technological pedagogical content knowledge (TPCK) are drawn.

TPACK and Pre-Service Teacher Mathematics Education: Defining a Signature Pedagogy for Mathematics Education Using ICT and Based on the Metaphor "Mathematics Is a Language"

ERIC Educational Resources Information Center

Larkin, Kevin; Jamieson-Proctor, Romina; Finger, Glenn

2012-01-01

National professional standards for teachers in Australia (AITSL, 2011) expect teacher education graduates to demonstrate technological, pedagogical and content knowledge (TPACK). Those standards have emerged concurrently with the development of a new Australian mathematics curriculum. Thus, the expectation is that graduates can demonstrate the…

A case study of a mathematics teacher's and science teacher's use of teacher wisdom in integrating middle school mathematics and science content

NASA Astrophysics Data System (ADS)

Saam, Julie Reinhardt

The National Science Education Standards, the National Council of Teachers of Mathematics Curriculum Standards, the Interdisciplinary Team Organization structure and the Middle School movement collectively suggest to teachers to make connections between their subject areas. This case study of a middle school mathematics teacher and science teacher utilizes the framework of teacher wisdom to bring a unique perspective to the process of developing and implementing integrated curriculum. Data collection consisted of interviews with the teachers, students, and their principal; documents such lesson plans, team meeting minutes and teacher journal entries; and field notes acquired within team meetings and classroom instruction. The interpretations of this study reveal that teacher development of integrated curriculum occurs in two ways: naturally and intentionally. The natural label used to describe when teachers comfortably share information that could serve as connections between subjects. The intentional label used to describe when the teachers purposely plan integrated lessons and units. These findings also provide an image of middle school integration. This image exhibits more than connections between subject area content; it also shows connections with away-from-school skills and events, lifeskills, and lifelong guidelines. Although these teachers found it frustrating and overwhelming to meet the many views of integration, they assembled integration curriculum that followed their philosophy of education, coincided with their personal characteristics and met the needs of their students. The interpretations of this study reveal a new model of middle school integration. Teachers can use this model as a collection of integration examples. Integration researchers can use this model as a conceptual framework to analyze the integration efforts of middle level teachers. Additional research needs to focus on: developing new modeling and evaluation tools for teachers, evaluating middle school professional development programs, investigating middle school teachers' characteristics, and continuing the study of integration's worth. The results of this study and additional research may help: (a) administrators to target specific teachers for middle school positions, (b) educators to plan and implement new programs for inservice and preservice middle school teachers, and (c) teachers to experiment with new and innovative strategies for middle school integration.

Obtaining mathematical models for assessing efficiency of dust collectors using integrated system of analysis and data management STATISTICA Design of Experiments

NASA Astrophysics Data System (ADS)

Azarov, A. V.; Zhukova, N. S.; Kozlovtseva, E. Yu; Dobrinsky, D. R.

2018-05-01

The article considers obtaining mathematical models to assess the efficiency of the dust collectors using an integrated system of analysis and data management STATISTICA Design of Experiments. The procedure for obtaining mathematical models and data processing is considered by the example of laboratory studies on a mounted installation containing a dust collector in counter-swirling flows (CSF) using gypsum dust of various fractions. Planning of experimental studies has been carried out in order to reduce the number of experiments and reduce the cost of experimental research. A second-order non-position plan (Box-Bencken plan) was used, which reduced the number of trials from 81 to 27. The order of statistical data research of Box-Benken plan using standard tools of integrated system for analysis and data management STATISTICA Design of Experiments is considered. Results of statistical data processing with significance estimation of coefficients and adequacy of mathematical models are presented.

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

ERIC Educational Resources Information Center

McCulloch, Allison W.; Ernst, Jeremy V.

2012-01-01

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

Classroom-Based Integration of Text-Messaging in Mathematics Teaching-Learning Process

ERIC Educational Resources Information Center

Aunzo, Rodulfo T., Jr.

2017-01-01

A lot of teachers are complaining that students are "texting" inside the classroom even during class hours. With this, this research study "on students' perception before the integration and the students' attitude after the integration of text messaging inside the classroom during the mathematics teaching-learning process was…

Evaluating the Effectiveness of Integrative STEM Education: Teacher and Administrator Professional Development

ERIC Educational Resources Information Center

Havice, William; Havice, Pamela; Waugaman, Chelsea; Walker, Kristin

2018-01-01

The integration of science, technology, engineering, and mathematics (STEM) education, also referred to as integrative STEM education, is a relatively new interdisciplinary teaching technique that incorporates an engineering design-based learning approach with mathematics, science, technology, and engineering education (Sanders, 2010, 2012, 2013;…

Middle School Mathematics Teachers' Experiences with School-Based and District-Based Support and Its Relationship to Integrating Technology

ERIC Educational Resources Information Center

Hampshire, Onequa N.

2014-01-01

Technological advances play a major role in educating students' in mathematics. Research indicates that technology could create learning environments that support innovativeness and assist teachers in developing a positive attitude toward integrating technology. Unfortunately, teachers are not utilizing technology on a regular basis in mathematics…

Line integral on engineering mathematics

NASA Astrophysics Data System (ADS)

Wiryanto, L. H.

2018-01-01

Definite integral is a basic material in studying mathematics. At the level of calculus, calculating of definite integral is based on fundamental theorem of calculus, related to anti-derivative, as the inverse operation of derivative. At the higher level such as engineering mathematics, the definite integral is used as one of the calculating tools of line integral. the purpose of this is to identify if there is a question related to line integral, we can use definite integral as one of the calculating experience. The conclusion of this research says that the teaching experience in introducing the relation between both integrals through the engineer way of thinking can motivate and improve students in understanding the material.

Standards-Based Reform in the United States: History, Research, and Future Directions

DTIC Science & Technology

2008-12-01

conducted by professional organizations such as the National Council of Teachers of Mathematics . Although notions of what constitutes effective SBR have...some states and by various professional organizations, such as the curriculum standards developed by the National Council of Teachers of Mathematics ... NCTM ). The mathematics content frameworks developed in California in the 1980s and the 1989 NCTMCurriculum and Evaluation Standards for School

Strategy for integration of coastal culture in learning process of mathematics in junior high school

NASA Astrophysics Data System (ADS)

Suyitno, H.; Zaenuri; Florentinus, T. S.; Zakaria, E.

2018-03-01

Traditional life in the fishing family is part of the local culture. Many School-age children in the fishing family drop-outs due to lack of parents motivation and the environment was less supportive. The problems were: (1) How the strategy of integration of local culture in learning process of mathematics in Junior High School (JHS)? (2) How to prepare the Mathematics Student’s Book for grade 7 of JHS that based on coastal culture, that has an ISBN, has international level, applicable, and in accordance with the current curriculum? The purposes of this research were: (1) to obtain the strategy of integration of local culture in learning process of mathematics in JHS, through FGD between UNNES and UKM; (2) to obtain the experts validation, through Focus Group Discussion (FGD) between UNNES and UKM toward the draft of the Mathematics Student’s Book for grade 7 of JHS that based on coastal culture; (3) produces Mathematics Student’s Book for grade 7 SMP which based on coastal culture and has an ISBN, international, applicable, and in accordance with the curriculum. The research activity was a qualitative research, so that the research methods include: (1) data reduction, (2) display data, (3) data interpretation, and (4) conclusion/verification. The main activities of this research: drafting the Mathematics Student’s Book of Grade 7 which based on coastal culture; get the validation from international partners;conducting FGD at Education Faculty of Universiti Kebangsaan Malaysia through the program of visiting lecturers for getting the Mathematics Student’s Book of grade 7 which based on coastal culture, registering for ISBN, and publishing the reasearch results in International seminar and International Journals. The results of this research were as follows. (1) Getting a good strategy for integration of local culture in learning process of mathematics in JHS. (2) Getting the Mathematics Student’s Book for grade 7 of JHS that based on coastal culture, that has an ISBN, international level, applicable, and in accordance with the current curriculum.

Grade Five Curriculum: A Parent's Guide.

ERIC Educational Resources Information Center

Department of Defense Education Activity, Arlington, VA.

This publication from the Department of Defense Education Activity (DoDEA) is designed to inform parents about the department's Grade Five curriculum standards in four major areas: language arts/reading, mathematics, science, and social studies. The integrated language arts/reading standards require students to recognize and respond to different…

Grade Six Curriculum: A Parent's Guide.

ERIC Educational Resources Information Center

Department of Defense Education Activity, Arlington, VA.

This publication from the Department of Defense Education Activity (DoDEA) is designed to inform parents about the department's Grade Six curriculum standards in four major areas: language arts/reading, mathematics, science, and social studies. The integrated language arts/reading standards emphasize the student's evaluation of the effect of…

A Revision of Technical Mathematics Based on the NCTM Standards. Final Report.

ERIC Educational Resources Information Center

Near, Barbara

Between 1993 and 1996, Henry Ford Community College (Michigan) worked with business, industry, and technical instructors to revise their Technical Mathematics program in accordance with the National Council of Teachers of Mathematics (NCTM) Standards. The purpose of the project was to restructure the technical math curriculum and create a context…

Integration and Physical Education: A Review of Research

ERIC Educational Resources Information Center

Marttinen, Risto Harri Juhani; McLoughlin, Gabriella; Fredrick, Ray, III; Novak, Dario

2017-01-01

The Common Core State Standards Initiative has placed an increased focus on mathematics and English language arts. A relationship between physical activity and academic achievement is evident, but research on integration of academic subjects with physical education is still unclear. This literature review examined databases for the years…

Standards in Mathematics Teaching.

ERIC Educational Resources Information Center

Brookes, Bill

1978-01-01

This article is based on a lecture given at the 1978 Easter Course at Padgate College of Higher Education. The lecture is an analysis of the complexity of mathematics teaching and the setting of teaching standards. (MN)

Formalization of the Integral Calculus in the PVS Theorem Prover

NASA Technical Reports Server (NTRS)

Butler, Ricky W.

2004-01-01

The PVS Theorem prover is a widely used formal verification tool used for the analysis of safety-critical systems. The PVS prover, though fully equipped to support deduction in a very general logic framework, namely higher-order logic, it must nevertheless, be augmented with the definitions and associated theorems for every branch of mathematics and Computer Science that is used in a verification. This is a formidable task, ultimately requiring the contributions of researchers and developers all over the world. This paper reports on the formalization of the integral calculus in the PVS theorem prover. All of the basic definitions and theorems covered in a first course on integral calculus have been completed.The theory and proofs were based on Rosenlicht's classic text on real analysis and follow the traditional epsilon-delta method. The goal of this work was to provide a practical set of PVS theories that could be used for verification of hybrid systems that arise in air traffic management systems and other aerospace applications. All of the basic linearity, integrability, boundedness, and continuity properties of the integral calculus were proved. The work culminated in the proof of the Fundamental Theorem Of Calculus. There is a brief discussion about why mechanically checked proofs are so much longer than standard mathematics textbook proofs.

Authentic Integration: a model for integrating mathematics and science in the classroom

NASA Astrophysics Data System (ADS)

Treacy, Páraic; O'Donoghue, John

2014-07-01

Attempts at integrating mathematics and science have been made previously but no definitive, widely adopted teaching model has been developed to date. Research suggests that hands-on, practical, student-centred tasks should form a central element when designing an effective model for the integration of mathematics and science. Aided by this research, the author created a new model entitled 'Authentic Integration' which caters for the specific needs of integration of mathematics and science. This model requires that each lesson be based around a rich task which relates to the real world and ensures that hands-on group work, inquiry, and discussion are central to the lesson. It was found that Authentic Integration, when applied in four Irish post-primary schools, positively affected pupil understanding. The teachers who completed the intervention displayed a very positive attitude towards the approach, intimating that they would continue to implement the practice in their classrooms.

Allied Health Applications Integrated into Developmental Mathematics Using Problem Based Learning

ERIC Educational Resources Information Center

Shore, Mark; Shore, JoAnna; Boggs, Stacey

2004-01-01

For this FIPSE funded project, mathematics faculty attended allied health classes and allied health faculty attended developmental mathematics courses to incorporate health examples into the developmental mathematics curriculum. Through the course of this grant a 450-page developmental mathematics book was written with many problems from a variety…

College Preparatory Mathematics: Change from Within.

ERIC Educational Resources Information Center

Kysh, Judith M.

1995-01-01

The College Preparatory Mathematics: Change from Within Project (CPM) was created to develop a rich, integrated mathematics curriculum, based on the best current wisdom of how people learn and the mathematics needed in an era of computers, and involving teachers in materials development. (MKR)

Love It, Like It, or Leave It--Elementary Preservice Teachers' Field-Based Perspectives toward the Integration of Literature in Mathematics

ERIC Educational Resources Information Center

Nesmith, Suzanne M.; Purdum-Cassidy, Barbara; Cooper, Sandi; Rogers, Rachelle D.

2017-01-01

Integrating literature in mathematics is a powerful strategy used by many teachers to meet the reformative goals outlined by the National Council of Teachers of Mathematics. This article reports a teacher education study in which 15 elementary preservice teachers engaged in a task that challenged them to link the pedagogical strategy of…

Studying Challenges in Integrating Technology in Secondary Mathematics with Technological Pedagogical and Content Knowledge (TPACK)

ERIC Educational Resources Information Center

Stoilescu, Dorian

2014-01-01

This paper describes challenges encountered by two secondary mathematics teachers when they try to integrate ICT devices in their classes. These findings are based on using the Technological Pedagogical and Content Knowledge (TPACK) context, the four dimension framework developed by Niess: 1) overarching conceptions of integrating ICT, 2)…

Teacher Concerns and the Enacted Curriculum of the Common Core State Standards in High School Mathematics

ERIC Educational Resources Information Center

Diletti, Jeri S.

2017-01-01

The Common Core State Standards for Mathematics (CCSSM) highlight the importance of students' conceptual understanding, mathematical reasoning, and problem solving in order to prepare students for college and careers. However, the success of this reform effort largely depends on how teachers actually design and implement instruction based on the…

Evaluating the Effectiveness of the 2003-2004 NASA SCIence Files(trademark) Program

NASA Technical Reports Server (NTRS)

Caton, Randall H.; Ricles, Shannon S.; Pinelli, Thomas E.; Legg, Amy C.; Lambert, Matthew A.

2005-01-01

The NASA SCI Files is an Emmy award-winning series of instructional programs for grades 3-5. Produced by the NASA Center for Distance Learning, programs in the series are research-, inquiry-, standards-, teacher- and technology-based. Each NASA SCI Files program (1) integrates mathematics, science, and technology; (2) uses Problem-Based Learning (PBL) to enhance and enrich the teaching and learning of science; (3) emphasizes science as inquiry and the scientific method; (4) motivates students to become critical thinkers and active problem solvers; and (5) uses NASA research, facilities, and personnel to raise student awareness of careers and to exhibit the "real-world" application of mathematics, science, and technology. In April 2004, 1,500 randomly selected registered users of the NASA SCI Files were invited to complete a survey containing a series of questions. A total of 263 surveys were received. This report contains the quantitative and qualitative results of that survey.

Mathematics, Music, and Movement: Exploring Concepts and Connections.

ERIC Educational Resources Information Center

Shilling, Wynne A.

2002-01-01

Explores connections between mathematics, music, and movement in early childhood curriculum. Presents music activities in which mathematical concepts are embedded; focuses on activities providing experiences with time-based relationships and rhythmic patterns. Asserts that integrating movement and mathematics into music activities provides a way…

Mathematics Pedagogical Standards: A Suggested Model of Instruction in Enhancing the Mathematics Teacher’s Quality of Instruction

NASA Astrophysics Data System (ADS)

Saad, N. S.; Jemali, M.; Zakaria, Z. Hj; Yusof, Q.

2018-01-01

The paper aims at identifying the standards for teaching and learning of mathematics based on National Council of Teacher of Mathematics (NCTM, 2000), The Australian Association of Mathematics Teachers (AAMT, 2006) and Training and Development Agency for School (TDA, 2007). These known standards were used as a guide in identifying the constructs of the mathematics teacher’s instruction in the classroom. The survey method used in which a questionnaire instrument encompassed on the four identified constructs on the standards for teaching and learning of mathematics, namely professional practices, professional attributes, professional knowledge, and professional instructional processes. The instrument was tested during a pilot study and a Cronbach’s Alpha reliability index of greater than 0.85 was obtained. The actual research was carried out in Peninsular Malaysia involving 224 secondary schools with 1.120 mathematics teachers and 108 primary schools with 540 mathematics teachers. From the selected schools, only 820 secondary mathematics teachers (73.2%) and 361 primary teachers (66.9%) gave a response to the mailed questionnaires. The findings of the study revealed that the secondary and primary mathematics teachers strongly agreed on three constructs; professional practices, professional attributes and professional instructional processes.

Making mathematics and science integration happen: key aspects of practice

NASA Astrophysics Data System (ADS)

Ríordáin, Máire Ní; Johnston, Jennifer; Walshe, Gráinne

2016-02-01

The integration of mathematics and science teaching and learning facilitates student learning, engagement, motivation, problem-solving, criticality and real-life application. However, the actual implementation of an integrative approach to the teaching and learning of both subjects at classroom level, with in-service teachers working collaboratively, at second-level education, is under-researched due to the complexities of school-based research. This study reports on a year-long case study on the implementation of an integrated unit of learning on distance, speed and time, within three second-level schools in Ireland. This study employed a qualitative approach and examined the key aspects of practice that impact on the integration of mathematics and science teaching and learning. We argue that teacher perspective, teacher knowledge of the 'other subject' and of technological pedagogical content knowledge (TPACK), and teacher collaboration and support all impact on the implementation of an integrative approach to mathematics and science education.

An Investigation of Mathematical Modeling with Pre-Service Secondary Mathematics Teachers

ERIC Educational Resources Information Center

Thrasher, Emily Plunkett

2016-01-01

The goal of this thesis was to investigate and enhance our understanding of what occurs while pre-service mathematics teachers engage in a mathematical modeling unit that is broadly based upon mathematical modeling as defined by the Common Core State Standards for Mathematics (National Governors Association Center for Best Practices & Council…

Subject design and factors affecting achievement in mathematics for biomedical science

NASA Astrophysics Data System (ADS)

Carnie, Steven; Morphett, Anthony

2017-01-01

Reports such as Bio2010 emphasize the importance of integrating mathematical modelling skills into undergraduate biology and life science programmes, to ensure students have the skills and knowledge needed for biological research in the twenty-first century. One way to do this is by developing a dedicated mathematics subject to teach modelling and mathematical concepts in biological contexts. We describe such a subject at a research-intensive Australian university, and discuss the considerations informing its design. We also present an investigation into the effect of mathematical and biological background, prior mathematical achievement, and gender, on student achievement in the subject. The investigation shows that several factors known to predict performance in standard calculus subjects apply also to specialized discipline-specific mathematics subjects, and give some insight into the relative importance of mathematical versus biological background for a biology-focused mathematics subject.

Evaluative Case Study on the Efficacy of the ELPS Program in Mathematics

ERIC Educational Resources Information Center

Perez, Malia Ann

2013-01-01

The English Language Proficiency Standards (ELPS) program was developed to address the need to effectively integrate second language acquisition with quality content area instruction. English language learners (ELLs) have struggled on standardized tests and there has been little empirical evidence regarding the impact of the ELPS program on…

Voices of Reform: Infusion of Standards-Based Mathematics and Science Teaching in an Urban District.

ERIC Educational Resources Information Center

Huinker, DeAnn; Coan, Cheryl; Posnanski, Tracy

This study examined the impact of a systemic reform initiative to implement standards-based mathematics and science teaching and learning in one urban school district, noting its effect on teachers, principals, students, and classroom practice. Participants were a sample of elementary and secondary schools involved in the Milwaukee Urban Systemic…

The Effectiveness of Project-Based Learning on Mathematics Proficiency with African American Students

ERIC Educational Resources Information Center

Jenkins, Justina

2017-01-01

This sequential exploratory mixed methods study addressed the problem of low academic achievement in mathematics, specifically for African American middle school students who historically score below proficient levels on standardized mathematics assessments. The purpose was to investigate the effectiveness of the Project-Based Learning (PBL)…

Testing accommodation or modification? The effects of integrated object representation on enhancing geometry performance in children with and without geometry difficulties.

PubMed

Zhang, Dake; Wang, Qiu; Ding, Yi; Liu, Jeremy Jian

2014-01-01

According to the National Council of Teachers of Mathematics, geometry and spatial sense are fundamental components of mathematics learning. However, learning disabilities (LD) research has shown that many K-12 students encounter particular geometry difficulties (GD). This study examined the effect of an integrated object representation (IOR) accommodation on the test performance of students with GD compared to students without GD. Participants were 118 elementary students who took a researcher-developed geometry problem solving test under both a standard testing condition and an IOR accommodation condition. A total of 36 students who were classified with GD scored below 40% correct in the geometry problem solving test in the standard testing condition, and 82 students who were classified without GD scored equal to or above 40% correct in the same test and condition. All students were tested in both standard testing condition and IOR accommodation condition. The results from both ANOVA and regression discontinuity (RD) analyses suggested that students with GD benefited more than students without GD from the IOR accommodation. Implications of the study are discussed in terms of providing accommodations for students with mathematics learning difficulties and recommending RD design in LD research. © Hammill Institute on Disabilities 2013.

The Human Physiome: how standards, software and innovative service infrastructures are providing the building blocks to make it achievable

PubMed Central

2016-01-01

Reconstructing and understanding the Human Physiome virtually is a complex mathematical problem, and a highly demanding computational challenge. Mathematical models spanning from the molecular level through to whole populations of individuals must be integrated, then personalized. This requires interoperability with multiple disparate and geographically separated data sources, and myriad computational software tools. Extracting and producing knowledge from such sources, even when the databases and software are readily available, is a challenging task. Despite the difficulties, researchers must frequently perform these tasks so that available knowledge can be continually integrated into the common framework required to realize the Human Physiome. Software and infrastructures that support the communities that generate these, together with their underlying standards to format, describe and interlink the corresponding data and computer models, are pivotal to the Human Physiome being realized. They provide the foundations for integrating, exchanging and re-using data and models efficiently, and correctly, while also supporting the dissemination of growing knowledge in these forms. In this paper, we explore the standards, software tooling, repositories and infrastructures that support this work, and detail what makes them vital to realizing the Human Physiome. PMID:27051515

The Human Physiome: how standards, software and innovative service infrastructures are providing the building blocks to make it achievable.

PubMed

Nickerson, David; Atalag, Koray; de Bono, Bernard; Geiger, Jörg; Goble, Carole; Hollmann, Susanne; Lonien, Joachim; Müller, Wolfgang; Regierer, Babette; Stanford, Natalie J; Golebiewski, Martin; Hunter, Peter

2016-04-06

Reconstructing and understanding the Human Physiome virtually is a complex mathematical problem, and a highly demanding computational challenge. Mathematical models spanning from the molecular level through to whole populations of individuals must be integrated, then personalized. This requires interoperability with multiple disparate and geographically separated data sources, and myriad computational software tools. Extracting and producing knowledge from such sources, even when the databases and software are readily available, is a challenging task. Despite the difficulties, researchers must frequently perform these tasks so that available knowledge can be continually integrated into the common framework required to realize the Human Physiome. Software and infrastructures that support the communities that generate these, together with their underlying standards to format, describe and interlink the corresponding data and computer models, are pivotal to the Human Physiome being realized. They provide the foundations for integrating, exchanging and re-using data and models efficiently, and correctly, while also supporting the dissemination of growing knowledge in these forms. In this paper, we explore the standards, software tooling, repositories and infrastructures that support this work, and detail what makes them vital to realizing the Human Physiome.

Teachers' Evaluations and Use of Web-Based Curriculum Resources in Relation to the Common Core State Standards for Mathematics

ERIC Educational Resources Information Center

Webel, Corey; Krupa, Erin E.; McManus, Jason

2015-01-01

This study examines patterns in how a group of fifth- and sixth-grade teachers evaluated and reported using different types of curriculum resources to support their teaching in relation to the mathematical concepts outlined in the Common Core State Standards for Mathematics. In particular, it explores the use of resources that were available to…

Rationale and study protocol of the EASY Minds (Encouraging Activity to Stimulate Young Minds) program: cluster randomized controlled trial of a primary school-based physical activity integration program for mathematics.

PubMed

Riley, Nicholas; Lubans, David R; Holmes, Kathryn; Morgan, Philip J

2014-08-08

Novel strategies are required to increase school-based physical activity levels of children. Integrating physical activity in mathematics lessons may lead to improvements in students' physical activity levels as well as enjoyment, engagement and learning. The primary aim of this study is to evaluate the impact of a curriculum-based physical activity integration program known as EASY Minds (Encouraging Activity to Stimulate Young Minds) on children's daily school time physical activity levels. Secondary aims include exploring the impact of EASY Minds on their engagement and 'on task' behaviour in mathematics. Grade 5/6 classes from eight public schools in New South Wales, Australia will be randomly allocated to intervention (n = 4) or control (n = 4) groups. Teachers from the intervention group will receive one day of professional development, a resource pack and asked to adapt their lessons to embed movement-based learning in their daily mathematics program in at least three lessons per week over a six week period. Intervention support will be provided via a weekly email and three lesson observations. The primary outcomes will be children's physical activity levels (accelerometry) across both the school day and during mathematics lessons (moderate-to-vigorous physical activity and sedentary time). Children's 'on-task' behaviour, enjoyment of mathematics and mathematics attainment will be assessed as secondary outcomes. A detailed process evaluation will be undertaken. EASY Minds is an innovative intervention that has the potential to improve key physical and academic outcomes for primary school aged children and help guide policy and practice regarding the teaching of mathematics. Australian and New Zealand Clinical Trials Register ACTRN12613000637741 13/05/2013.

Reading and Mathematics Bound Together: Creating a Home Environment for Preschool Learning

ERIC Educational Resources Information Center

Godwin, Amber J.; Rupley, William H.; Capraro, Robert M.; Capraro, Mary Margaret

2016-01-01

The combination of mathematics and reading in family reading time can positively impact children's ability to make sense of representations in both mathematics and reading. Four families volunteered to participate in this field based inquiry to learn how to integrate mathematics and reading in parent-supported activities. Four parents and their…

Dual Standards of School Performance and Funding? Empirical Searches of School Funding Adequacy in Kentucky and Maine

ERIC Educational Resources Information Center

Lee, Jaekyung

2010-01-01

This study examines potential consequences of the discrepancies between national and state performance standards for school funding in Kentucky and Maine. Applying the successful schools observation method and cost function analysis method to integrated data-sets that match schools' eight-grade mathematics test performance measures to district…

Business Mathematics Curriculum Guide. Bulletin 1612. Revised.

ERIC Educational Resources Information Center

Louisiana State Dept. of Education, Baton Rouge. Div. of Academic Programs.

This curriculum guide for business mathematics was developed to establish statewide curriculum standards for the Louisiana Competency-based Education Program. Following an overview of the secondary school mathematics curriculum, eight goals for the business mathematics course are listed. A pacing chart with suggested time periods for each major…

The mathematical bases for qualitative reasoning

NASA Technical Reports Server (NTRS)

Kalagnanam, Jayant; Simon, Herbert A.; Iwasaki, Yumi

1991-01-01

The practices of researchers in many fields who use qualitative reasoning are summarized and explained. The goal is to gain an understanding of the formal assumptions and mechanisms that underlie this kind of analysis. The explanations given are based on standard mathematical formalisms, particularly on ordinal properties, continuous differentiable functions, and the mathematics of nonlinear dynamic systems.

Effect of Digital Game Based Learning on Ninth Grade Students' Mathematics Achievement

ERIC Educational Resources Information Center

Swearingen, Dixie K.

2011-01-01

This experimental study examined the effect of an educational massive multiplayer online game (MMOG) on achievement on a standards-based mathematics exam. It also examined the interaction of student characteristics (gender and socioeconomic status) with digital game play on mathematics achievement. Two hundred eighty ninth grade students from a…

Data-Driven Intervention: Correcting Mathematics Students' Misconceptions, Not Mistakes

ERIC Educational Resources Information Center

Holmes, Vicki-Lynn; Miedema, Chelsea; Nieuwkoop, Lindsay; Haugen, Nicholas

2013-01-01

In an age when reform is based on standards and instruction is based on research, this article gives practical advice for how mathematics teachers can analyze errors in student problems to create interventions that aid not only the individual's development, but the entire class's as well. By learning how to correct mathematics students'…

On the Importance of Set-Based Meanings for Categories and Connectives in Mathematical Logic

ERIC Educational Resources Information Center

Dawkins, Paul Christian

2017-01-01

Based on data from a series of teaching experiments on standard tools of mathematical logic, this paper characterizes a range of student meanings for mathematical properties and logical connectives. Some observed meanings inhibited students' adoption of logical structure, while others greatly facilitated it. "Reasoning with predicates"…

A Categorization Model for Educational Values of the History of Mathematics. An Empirical Study

NASA Astrophysics Data System (ADS)

Wang, Xiao-qin; Qi, Chun-yan; Wang, Ke

2017-11-01

There is not a clear consensus on the categorization framework of the educational values of the history of mathematics. By analyzing 20 Chinese teaching cases on integrating the history of mathematics into mathematics teaching based on the relevant literature, this study examined a new categorization framework of the educational values of the history of mathematics by combining the objectives of high school mathematics curriculum in China. This framework includes six dimensions: the harmony of knowledge, the beauty of ideas or methods, the pleasure of inquiries, the improvement of capabilities, the charm of cultures, and the availability of moral education. The results show that this framework better explained the all-educational values of the history of mathematics that all teaching cases showed. Therefore, the framework can guide teachers to better integrate the history of mathematics into teaching.

Dealing with dissatisfaction in mathematical modelling to integrate QFD and Kano’s model

NASA Astrophysics Data System (ADS)

Retno Sari Dewi, Dian; Debora, Joana; Edy Sianto, Martinus

2017-12-01

The purpose of the study is to implement the integration of Quality Function Deployment (QFD) and Kano’s Model into mathematical model. Voice of customer data in QFD was collected using questionnaire and the questionnaire was developed based on Kano’s model. Then the operational research methodology was applied to build the objective function and constraints in the mathematical model. The relationship between voice of customer and engineering characteristics was modelled using linier regression model. Output of the mathematical model would be detail of engineering characteristics. The objective function of this model is to maximize satisfaction and minimize dissatisfaction as well. Result of this model is 62% .The major contribution of this research is to implement the existing mathematical model to integrate QFD and Kano’s Model in the case study of shoe cabinet.

UTeach: Secondary Teacher Preparation in Science and Mathematics at the University of Texas at Austin

NASA Astrophysics Data System (ADS)

Marder, Michael

2006-03-01

The UTeach Program is a joint effort of the College of Natural Sciences, the College of Education and the Austin Independent School District to recruit, prepare and support math and science teachers for the State of Texas. UTeach uses early and on-going field experiences to capture the imagination of preservice teachers and provide a foundation for more advanced pedagogical courses. With over 400 students enrolled and over 80 graduates per year, UTeach is one of the largest programs producing secondary science, mathematics, and computer science teachers in the nation. Most UTeach students are undergraduates, but around 10% are people of many ages with strong backgrounds in mathematics or science who have decided to enter teaching. Hallmarks include: *Four-year degree plans that enable undergraduates to obtain certification at no cost in time or money. *Active recruitment and support including tuition reimbursement, paid internships, personal advising, and guidance by master teachers. *Emphasis on preparing teachers who will be knowledgeable of their discipline, experienced with involving students in scientific inquiry, and practiced in employing new technologies to enhance student learning. *A revised, streamlined professional education sequence drawing on research on learning, standards-based curricula, multiple forms of assessment, and proven strategies for achieving equity and integrating technology into math and science education. *Program flexibility with multiple entry points (from freshman to post baccalaureate), integrated degree plans, and proficiency-based assessment, including the development of individual teaching portfolios. For more information on UTeach, see http://uteach.utexas.edu

Curricular Controversy in the Math Wars: A Battle Without Winners.

ERIC Educational Resources Information Center

Reys, Robert E.

2001-01-01

Discusses the state of the mathematics textbook market and the debate surrounding the efforts to improve mathematics instruction, including the standards-based mathematics curriculum supported by the National Science Foundation. (Contains 12 references.) (PKP)

Exploring the Associations among Nutrition, Science, and Mathematics Knowledge for an Integrative, Food-Based Curriculum

ERIC Educational Resources Information Center

Stage, Virginia C.; Kolasa, Kathryn M.; Díaz, Sebastián R.; Duffrin, Melani W.

2018-01-01

Background: Explore associations between nutrition, science, and mathematics knowledge to provide evidence that integrating food/nutrition education in the fourth-grade curriculum may support gains in academic knowledge. Methods: Secondary analysis of a quasi-experimental study. Sample included 438 students in 34 fourth-grade classrooms across…

Common Grounds for Modelling Mathematics in Educational Software

ERIC Educational Resources Information Center

Neuper, Walther

2010-01-01

Two kinds of software, CAS and DGS, are starting to work towards mutual integration. This paper envisages common grounds for such integration based on principles of computer theorem proving (CTP). Presently, the CTP community seems to lack awareness as to which of their products' features might serve mathematics education from high-school to…

Integration science and distributed networks

NASA Astrophysics Data System (ADS)

Landauer, Christopher; Bellman, Kirstie L.

2002-07-01

Our work on integration of data and knowledge sources is based in a common theoretical treatment of 'Integration Science', which leads to systematic processes for combining formal logical and mathematical systems, computational and physical systems, and human systems and organizations. The theory is based on the processing of explicit meta-knowledge about the roles played by the different knowledge sources and the methods of analysis and semantic implications of the different data values, together with information about the context in which and the purpose for which they are being combined. The research treatment is primarily mathematical, and though this kind of integration mathematics is still under development, there are some applicable common threads that have emerged already. Instead of describing the current state of the mathematical investigations, since they are not yet crystallized enough for formalisms, we describe our applications of the approach in several different areas, including our focus area of 'Constructed Complex Systems', which are complex heterogeneous systems managed or mediated by computing systems. In this context, it is important to remember that all systems are embedded, all systems are autonomous, and that all systems are distributed networks.

From Specific Information Extraction to Inferences: A Hierarchical Framework of Graph Comprehension

DTIC Science & Technology

2004-09-01

The skill to interpret the information displayed in graphs is so important to have, the National Council of Teachers of Mathematics has created...guidelines to ensure that students learn these skills ( NCTM : Standards for Mathematics , 2003). These guidelines are based primarily on the extraction of...graphical perception. Human Computer Interaction, 8, 353-388. NCTM : Standards for Mathematics . (2003, 2003). Peebles, D., & Cheng, P. C.-H. (2002

Evaluating the Effectiveness of the 1999-2000 NASA CONNECT Program

NASA Technical Reports Server (NTRS)

Pinelli, Thomas E.; Frank, Kari Lou

2002-01-01

NASA CONNECT is a standards-based, integrated mathematics, science, and technology series of 30-minute instructional distance learning (satellite and television) programs for students in grades 6-8. Each of the five programs in the 1999-2000 NASA CONNECT series included a lesson, an educator guide, a student activity or experiment, and a web-based component. In March 2000, a mail (self-reported) survey (booklet) was sent to a randomly selected sample of 1,000 NASA CONNECT registrants. A total of 336 surveys (269 usable) were received by the established cut-off date. Most survey questions employed a 5-point Likert-type response scale. Survey topics included (1) instructional technology and teaching, (2) instructional programming and technology in the classroom, (3) the NASA CONNECT program, (4) classroom use of computer technology, and (5) demographics. About 73% of the respondents were female, about 92% identified "classroom teacher" as their present professional duty, about 90% worked in a public school, and about 62% held a master's degree or master's equivalency. Regarding NASA CONNECT, respondents reported that (1) they used the five programs in the 1999-2000 NASA CONNECT series; (2) the stated objectives for each program were met (4.54); (3) the programs were aligned with the national mathematics, science, and technology standards (4.57); (4) program content was developmentally appropriate for grade level (4.17); and (5) the programs in the 1999-2000 NASA CONNECT series enhanced/enriched the teaching of mathematics, science, and technology (4.51).

Evaluating the Effectiveness of the 1998-1999 NASA CONNECT Program

NASA Technical Reports Server (NTRS)

Pinelli, Thomas E.; Frank, Kari Lou; House, Patricia L.

2000-01-01

NASA CONNECT is a standards-based, integrated mathematics, science, and technology series of 30-minute instructional distance learning (satellite and television) programs for students in grades 5-8. Each of the five programs in the 1998-1999 NASA CONNECT series included a lesson, an educator guide, a student activity or experiment, and a web-based component. In March 1999, a mail (self-reported) survey (booklet) was sent to a randomly selected sample of 1,000 NASA CONNECT registrants. A total of 401 surveys (351 usable) were received by the established cut-off date. Most survey questions employed a 5-point Likert-type response scale. Survey topics included: (1) instructional technology and teaching, (2) instructional programming and technology in the classroom, (3) the NASA CONNECT program, (4) classroom use of computer technology, and (5) demographics. About 68% of the respondents were female, about 88% identified "classroom teacher" as their present professional duty, about 75% worked in a public school, and about 67% held a master's degree or master's equivalency. Regarding NASA CONNECT, respondents reported that: (1) they used the five programs in the 1998-1999 NASA CONNECT series; (2) the stated objectives for each program were met (4.49); (3) the programs were aligned with the national mathematics, science, and technology standards (4.61); (4) program content was developmentally appropriate for grade level (4.25); and (5) the programs in the 1998-1999 NASA CONNECT series enhanced/enriched the teaching of mathematics, science, and technology (4.45).

A Quantitative and Qualitative Study of Math Anxiety among Preservice Teachers

ERIC Educational Resources Information Center

Sloan, Tina Rye

2010-01-01

This project investigated the effects of a standards-based mathematics methods course on the mathematics anxiety levels of preservice teachers. The qualitative portion of the study examined aspects of a math methods course that affected mathematics anxiety levels and the antecedents of mathematics anxiety. Findings revealed a significant…

Mathematical Problem Solving Ability of Eleventh Standard Students

ERIC Educational Resources Information Center

Priya, J. Johnsi

2017-01-01

There is a general assertion among mathematics instructors that learners need to acquire problem solving expertise, figure out how to communicate using mathematics knowledge and aptitude, create numerical reasoning and thinking, to see the interconnectedness amongst mathematics and other subjects. Based on this perspective, the present study aims…

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…

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

NASA Astrophysics Data System (ADS)

Kouropatov, Anatoli; Dreyfus, Tommy

2013-07-01

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

Do School-Based Tutoring Programs Significantly Improve Student Performance on Standardized Tests?

ERIC Educational Resources Information Center

Rothman, Terri; Henderson, Mary

2011-01-01

This study used a pre-post, nonequivalent control group design to examine the impact of an in-district, after-school tutoring program on eighth grade students' standardized test scores in language arts and mathematics. Students who had scored in the near-passing range on either the language arts or mathematics aspect of a standardized test at the…

Connecting Mathematics Learning through Spatial Reasoning

ERIC Educational Resources Information Center

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

2018-01-01

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

A Categorization Model for Educational Values of the History of Mathematics: An Empirical Study

ERIC Educational Resources Information Center

Wang, Xiao-qin; Qi, Chun-yan; Wang, Ke

2017-01-01

There is not a clear consensus on the categorization framework of the educational values of the history of mathematics. By analyzing 20 Chinese teaching cases on integrating the history of mathematics into mathematics teaching based on the relevant literature, this study examined a new categorization framework of the educational values of the…

An adhesive contact mechanics formulation based on atomistically induced surface traction

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

Fan, Houfu; Ren, Bo; Li, Shaofan, E-mail: shaofan@berkeley.edu

2015-12-01

In this work, we have developed a novel multiscale computational contact formulation based on the generalized Derjuguin approximation for continua that are characterized by atomistically enriched constitutive relations in order to study macroscopic interaction between arbitrarily shaped deformable continua. The proposed adhesive contact formulation makes use of the microscopic interaction forces between individual particles in the interacting bodies. In particular, the double-layer volume integral describing the contact interaction (energy, force vector, matrix) is converted into a double-layer surface integral through a mathematically consistent approach that employs the divergence theorem and a special partitioning technique. The proposed contact model is formulatedmore » in the nonlinear continuum mechanics framework and implemented using the standard finite element method. With no large penalty constant, the stiffness matrix of the system will in general be well-conditioned, which is of great significance for quasi-static analysis. Three numerical examples are presented to illustrate the capability of the proposed method. Results indicate that with the same mesh configuration, the finite element computation based on the surface integral approach is faster and more accurate than the volume integral based approach. In addition, the proposed approach is energy preserving even in a very long dynamic simulation.« less

Effects of Teacher Lesson Introduction on Second Graders' Creativity in a Science/Literacy Integrated Unit on Health and Nutrition

ERIC Educational Resources Information Center

Webb, Angela Naomi; Rule, Audrey C.

2014-01-01

The focus on standardized testing in the areas of reading and mathematics in early elementary education often minimalizes science and the arts in the curriculum. The science topics of health and nutrition were integrated into the reading curriculum through read aloud books. Inclusion of creativity skills through figural transformation drawings…

Improving English Language Arts and Mathematics Teachers' Capabilities for Teaching Integrated Information Literacy Skills

ERIC Educational Resources Information Center

Ballard, Kevin

2013-01-01

Teachers in a large Illinois suburban school district will soon have to integrate the teaching of the Common Core State Standards into their content classes and may not feel prepared to do this effectively. Stephenson's definition of capability was used as the conceptual framework for this study, which holds that capable teachers are those who…

The CMETS Program: Grounding Middle Grade Mathematics and Technology Professional Development in Research-Based Best Practice

ERIC Educational Resources Information Center

Guerrero, Shannon; Dugdale, Sharon

2009-01-01

The past few decades have seen middle school teachers in the United States hit especially hard by contradictory messages about the use and importance of technology in support of their standards-based mathematics teaching. This paper considers this dichotomy with respect to the California Mathematics Education Technology Site (CMETS), a…

Calculator-Controlled Robots: Hands-On Mathematics and Science Discovery

ERIC Educational Resources Information Center

Tuchscherer, Tyson

2010-01-01

The Calculator Controlled Robots activities are designed to engage students in hands-on inquiry-based missions. These activities address National science and technology standards, as well as specifically focusing on mathematics content and process standards. There are ten missions and three exploration extensions that provide activities for up to…

The Right Time to Start Writing

ERIC Educational Resources Information Center

Casa, Tutita M.

2015-01-01

Communication has long been emphasized in standards-based instruction (NCTM 1991; 2000), yet little distinction has been made between oral and written forms. Nonetheless, both the mathematics and the English language arts Common Core State Standards (CCSS) documents continue to hint at the importance of writing mathematically (CCSSI 2010). The…

Preparation of Students Completing a Core-Plus or Commercially Developed High School Mathematics Curriculum for Intense College Mathematics Coursework

ERIC Educational Resources Information Center

Harwell, Michael R.; Medhanie, Amanuel; Post, Thomas R.; Norman, Ke; Dupuis, Danielle N.

2012-01-01

The purpose of this study was to examine the college mathematics achievement and course-taking of students at a large public research university who completed a commercially developed or standards-based (Core-Plus) high school mathematics curriculum, and who subsequently completed at least 2 college mathematics courses of difficulty level at or…

Opportunities and Challenges: Integration of ICT in Teaching and Learning Mathematics in Secondary Schools, Nairobi, Kenya

ERIC Educational Resources Information Center

Amuko, Sheila; Miheso, Marguerite; Ndeuthi, Sophie

2015-01-01

This presentation is based on a larger study whose purpose was to explore the various opportunities and challenges influencing integration of ICT in teaching and learning Mathematics in secondary schools in Nairobi County. The study, adopted a descriptive survey design. Three instruments questionnaires', a structured interview schedule and an…

Modelling and Optimizing Mathematics Learning in Children

ERIC Educational Resources Information Center

Käser, Tanja; Busetto, Alberto Giovanni; Solenthaler, Barbara; Baschera, Gian-Marco; Kohn, Juliane; Kucian, Karin; von Aster, Michael; Gross, Markus

2013-01-01

This study introduces a student model and control algorithm, optimizing mathematics learning in children. The adaptive system is integrated into a computer-based training system for enhancing numerical cognition aimed at children with developmental dyscalculia or difficulties in learning mathematics. The student model consists of a dynamic…

A Mathematical Mystery Tour: Higher-Thinking Math Tasks.

ERIC Educational Resources Information Center

Wahl, Mark

This book contains mathematics activities based upon the concepts of Fibonacci numbers and the Golden Ratio. The activities include higher order thinking skills, calculation practice, integration with different subject areas, mathematics history, extensions and home tasks, teaching notes, and questions for thought and comprehension. A visual map…

Reasoning About Nature: Graduate students and teachers integrating historic and modern science in high school math and science classes

NASA Astrophysics Data System (ADS)

Davis, J. B.; Rigsby, C. A.; Muston, C.; Robinson, Z.; Morehead, A.; Stellwag, E. J.; Shinpaugh, J.; Thompson, A.; Teller, J.

2010-12-01

Graduate students and faculty at East Carolina University are working with area high schools to address the common science and mathematics deficiencies of many high school students. Project RaN (Reasoning about Nature), an interdisciplinary science/math/education research project, addresses these deficiencies by focusing on the history of science and the relationship between that history and modern scientific thought and practice. The geological sciences portion of project RaN has three specific goals: (1) to elucidate the relationships among the history of scientific discovery, the geological sciences, and modern scientific thought; (2) to develop, and utilize in the classroom, instructional modules that are relevant to the modern geological sciences curriculum and that relate fundamental scientific discoveries and principles to multiple disciplines and to modern societal issues; and (3) to use these activity-based modules to heighten students’ interest in science disciplines and to generate enthusiasm for doing science in both students and instructors. The educational modules that result from this linkage of modern and historical scientific thought are activity-based, directly related to the National Science Standards for the high school sciences curriculum, and adaptable to fit each state’s standard course of study for the sciences and math. They integrate historic sciences and mathematics with modern science, contain relevant background information on both the concept(s) and scientist(s) involved, present questions that compel students to think more deeply (both qualitatively and quantitatively) about the subject matter, and include threads that branch off to related topics. Modules on topics ranging from the density to cladistics to Kepler’s laws of planetary motion have been developed and tested. Pre- and post-module data suggest that both students and teachers benefit from these interdisciplinary historically based classroom experiences.

Critical Analysis of the Mathematical Formalism of Theoretical Physics. I. Foundations of Differential and Integral Calculus

NASA Astrophysics Data System (ADS)

Kalanov, Temur Z.

2013-04-01

Critical analysis of the standard foundations of differential and integral calculus -- as mathematical formalism of theoretical physics -- is proposed. Methodological basis of the analysis is the unity of formal logic and rational dialectics. It is shown that: (a) the foundations (i.e. d 1ptyd,;=;δ,;->;0,;δ,δ,, δ,;->;0;δ,δ,;=;δ,;->;0;f,( x;+;δ, );-;f,( x )δ,;, d,;=;δ,, d,;=;δ, where y;=;f,( x ) is a continuous function of one argument x; δ, and δ, are increments; d, and d, are differentials) not satisfy formal logic law -- the law of identity; (b) the infinitesimal quantities d,, d, are fictitious quantities. They have neither algebraic meaning, nor geometrical meaning because these quantities do not take numerical values and, therefore, have no a quantitative measure; (c) expressions of the kind x;+;d, are erroneous because x (i.e. finite quantity) and d, (i.e. infinitely diminished quantity) have different sense, different qualitative determinacy; since x;,;,,,,onst under δ,;,;,, a derivative does not contain variable quantity x and depends only on constant c. Consequently, the standard concepts ``infinitesimal quantity (uninterruptedly diminishing quantity)'', ``derivative'', ``derivative as function of variable quantity'' represent incorrect basis of mathematics and theoretical physics.

Educational standardization and gender differences in mathematics achievement: A comparative study.

PubMed

Ayalon, Hanna; Livneh, Idit

2013-03-01

We argue that between-country variations in the gender gap in mathematics are related to the level of educational system standardization. In countries with standardized educational systems both genders are exposed to similar knowledge and are motivated to invest in studying mathematics, which leads to similar achievements. We hypothesize that national examinations and between-teacher uniformity in covering major mathematics topics are associated with a smaller gender gap in a country. Based on Trends of International Mathematical and Science Study (TIMSS) 2003, we use multilevel regression models to compare the link of these two factors to the gender gap in 32 countries, controlling for various country characteristics. The use of national examinations and less between-teacher instructional variation prove major factors in reducing the advantage of boys over girls in mathematics scores and in the odds of excelling. Factors representing gender stratification, often analyzed in comparative gender-gap research in mathematics, are at most marginal in respect of the gap. Copyright © 2012 Elsevier Inc. All rights reserved.

Effects of a Prekindergarten Mathematics Intervention on Mathematical Abilities of Preschoolers with Low Socioeconomic Status

ERIC Educational Resources Information Center

DeLoach, Debbie

2012-01-01

Many children who have attended Georgia's prekindergarten programs are unprepared to enter kindergarten and learn a standards-based mathematics curriculum. In addition, a majority of prekindergarten programs in Georgia struggle to provide high quality mathematics instructional support for children. One such program is a childcare center located in…

Direct integration of the inverse Radon equation for X-ray computed tomography.

PubMed

Libin, E E; Chakhlov, S V; Trinca, D

2016-11-22

A new mathematical appoach using the inverse Radon equation for restoration of images in problems of linear two-dimensional x-ray tomography is formulated. In this approach, Fourier transformation is not used, and it gives the chance to create the practical computing algorithms having more reliable mathematical substantiation. Results of software implementation show that for especially for low number of projections, the described approach performs better than standard X-ray tomographic reconstruction algorithms.

Findings From the EASY Minds Cluster Randomized Controlled Trial: Evaluation of a Physical Activity Integration Program for Mathematics in Primary Schools.

PubMed

Riley, Nicholas; Lubans, David R; Holmes, Kathryn; Morgan, Philip J

2016-02-01

To evaluate the impact of a primary school-based physical activity (PA) integration program delivered by teachers on objectively measured PA and key educational outcomes. Ten classes from 8 Australian public schools were randomly allocated to treatment conditions. Teachers from the intervention group were taught to embed movement-based learning in their students' (n = 142) daily mathematics program in 3 lessons per week for 6 weeks. The control group (n = 98) continued its regular mathematics program. The primary outcome was accelerometer-determined PA across the school day. Linear mixed models were used to analyze treatment effects. Significant intervention effects were found for PA across the school day (adjusted mean difference 103 counts per minute [CPM], 95% confidence interval [CI], 36.5-169.7, P = .008). Intervention effects were also found for PA (168 CPM, 95% CI, 90.1-247.4, P = .008) and moderate-to-vigorous PA (2.6%, 95% CI, 0.9-4.4, P = .009) in mathematics lessons, sedentary time across the school day (-3.5%, 95% CI, -7.0 to -0.13, P = .044) and during mathematics (-8.2%, CI, -13.0 to -2.0, P = .010) and on-task behavior (13.8%, 95% CI, 4.0-23.6, P = .011)-but not for mathematics performance or attitude. Integrating movement across the primary mathematics syllabus is feasible and efficacious.

Plants v. Pollutants

ERIC Educational Resources Information Center

Razzouk, Rabieh; Dyehouse, Melissa; Santone, Adam; Carr, Ronald

2014-01-01

Teachers typically teach subjects separately, but integrated science, technology, engineering, and mathematics (STEM) curriculums that focus on real-world practices are gaining momentum (NAE and NRC 2009). Before release of the "Next Generation of Science Standards" ("NGSS") (NGSS Lead States 2013), 36 states already had a…

Integrating Literature and Mathematics: A Mysterious Connection

ERIC Educational Resources Information Center

Wilburne, Jane Murphy; Napoli, Mary

2007-01-01

This article describes a mathematics and literature interdisciplinary project for preservice elementary teachers that was implemented in several urban middle school classrooms. This project, based on the novel Chasing Vermeer by Balliett (2004), involved a dramatization of one of the chapters from the book and a follow-up mathematical exploration.

Preservice Teacher Mobile Investigation and Interpretation of Everyday Mathematics across Settings

ERIC Educational Resources Information Center

Kalir, Jeremiah

2016-01-01

This study reports upon design-based research that enacted mobile mathematics learning for preservice teachers across classroom, community, and online settings. The integration of mobile learning within mathematics teacher education is understudied, and it is necessary to better understand mobile technology affordances when locating disciplinary…

Teaching Mathematics for Spatial Justice: An Investigation of the Lottery

ERIC Educational Resources Information Center

Rubel, Laurie H.; Lim, Vivian Y.; Hall-Wieckert, Maren; Sullivan, Mathew

2016-01-01

This article explores integrating place-based education with critical mathematics toward teaching mathematics for spatial justice. "Local Lotto," a curricular module with associated digital tools, was designed to investigate the lottery as a critical spatial phenomenon and piloted in urban high schools. This article describes findings…

Effects of Virtual Manipulatives with Different Approaches on Students' Knowledge of Slope

ERIC Educational Resources Information Center

Demir, Mustafa

2018-01-01

Virtual Manipulatives (VMs) are computer-based, dynamic, and visual representations of mathematical concepts, provide interactive learning environments to advance mathematics instruction (Moyer et al., 2002). Despite their broad use, few research explored the integration of VMs into mathematics instruction (Moyer-Packenham & Westenskow, 2013).…

Integrating the New Generation Science Standards (NGSS) into K- 6 teacher training and curricula

NASA Astrophysics Data System (ADS)

Pinter, S.; Carlson, S. J.

2017-12-01

The Next Generation Science Standards is an initiative, adopted by 26 states, to set national education standards that are "rich in content and practice, arranged in a coherent manner across disciplines and grades to provide all students an internationally benchmarked science education." Educators now must integrate these standards into existing curricula. Many grade-school (K-6) teachers face a particularly daunting task, as they were traditionally not required to teach science or only at a rudimentary level. The majority of K-6 teachers enter teaching from non-science disciplines, making this transition even more difficult. Since the NGSS emphasizes integrated and coherent progression of knowledge from grade to grade, prospective K-6 teachers must be able to deliver science with confidence and enthusiasm to their students. CalTeach/MAST (Mathematics and Science Teaching Program) at the University of California Davis, has created a two-quarter sequence of integrated science courses for undergraduate students majoring in non-STEM disciplines and intending to pursue multiple-subject K-6 credentials. The UCD integrated science course provides future primary school teachers with a basic, but comprehensive background in the physical and earth/space sciences. Key tools are taught for improving teaching methods, investigating complex science ideas, and solving problems relevant to students' life experiences that require scientific or technological knowledge. This approach allows prospective K-6 teachers to explore more effectively the connections between the disciplinary core ideas, crosscutting concepts, and scientific and engineering practices, as outlined in the NGSS. In addition, they develop a core set of science teaching skills based on inquiry activities and guided lab discussions. With this course, we deliver a solid science background to prospective K-6 teachers and facilitate their ability to teach science following the standards as articulated in the NGSS.

Integrating pedagogical content knowledge and pedagogical/psychological knowledge in mathematics.

PubMed

Harr, Nora; Eichler, Andreas; Renkl, Alexander

2014-01-01

In teacher education at universities, general pedagogical and psychological principles are often treated separately from subject matter knowledge and therefore run the risk of not being applied in the teaching subject. In an experimental study (N = 60 mathematics student teachers) we investigated the effects of providing aspects of general pedagogical/psychological knowledge (PPK) and pedagogical content knowledge (PCK) in an integrated or separated way. In both conditions ("integrated" vs. "separated"), participants individually worked on computer-based learning environments addressing the same topic: use and handling of multiple external representations, a central issue in mathematics. We experimentally varied whether PPK aspects and PCK aspects were treated integrated or apart from one another. As expected, the integrated condition led to greater application of pedagogical/psychological aspects and an increase in applying both knowledge types simultaneously compared to the separated condition. Overall, our findings indicate beneficial effects of an integrated design in teacher education.

Evaluating the Impact of Professional Development and Curricular Implementation on Student Mathematics Achievement: A Mixed Methods Study

ERIC Educational Resources Information Center

Krupa, Erin Elizabeth

2011-01-01

In this era of high-stakes testing and accountability, curricula are viewed as catalysts to improve high school students' mathematics performances and a critical question is whether single subject or integrated curricula produce stronger student outcomes. This study was designed to investigate the effects of an integrated reform-based curriculum,…

Pedagogical Factors Affecting Integration of Computers in Mathematics Instruction in Secondary Schools in Kenya

ERIC Educational Resources Information Center

Wanjala, Martin M. S.; Aurah, Catherine M.; Symon, Koros C.

2015-01-01

The paper reports findings of a study which sought to examine the pedagogical factors that affect the integration of computers in mathematics instruction as perceived by teachers in secondary schools in Kenya. This study was based on the Technology Acceptance Model (TAM). A descriptive survey design was used for this study. Stratified and simple…

Elementary Mathematics Teachers' Beliefs and Practices: Understanding the Influence of Teaching in a STEAM Setting

ERIC Educational Resources Information Center

Negreiros, Melissa

2017-01-01

Many elementary mathematics teachers hold beliefs about the teaching and learning of mathematics and enact practices that are not aligned with the recommendations of reform efforts in the field of mathematics education (Stigler & Hiebert, 2009). For standards-based reform to gain any significant success, many teachers will have to alter the…

Scale-dependent behavior of scale equations.

PubMed

Kim, Pilwon

2009-09-01

We propose a new mathematical framework to formulate scale structures of general systems. Stack equations characterize a system in terms of accumulative scales. Their behavior at each scale level is determined independently without referring to other levels. Most standard geometries in mathematics can be reformulated in such stack equations. By involving interaction between scales, we generalize stack equations into scale equations. Scale equations are capable to accommodate various behaviors at different scale levels into one integrated solution. On contrary to standard geometries, such solutions often reveal eccentric scale-dependent figures, providing a clue to understand multiscale nature of the real world. Especially, it is suggested that the Gaussian noise stems from nonlinear scale interactions.

Kindergarten Curriculum: A Parent's Guide.

ERIC Educational Resources Information Center

Department of Defense Education Activity, Arlington, VA.

This publication from the Department of Defense Education Activity (DoDEA) is designed to inform parents about the department's kindergarten curriculum in four major areas: language arts/reading, mathematics, science, and social studies. The integrated language arts/reading standards emphasize auditory likenesses and differences, and likenesses…

Performance Improvement of Receivers Based on Ultra-Tight Integration in GNSS-Challenged Environments

PubMed Central

Qin, Feng; Zhan, Xingqun; Du, Gang

2013-01-01

Ultra-tight integration was first proposed by Abbott in 2003 with the purpose of integrating a global navigation satellite system (GNSS) and an inertial navigation system (INS). This technology can improve the tracking performances of a receiver by reconfiguring the tracking loops in GNSS-challenged environments. In this paper, the models of all error sources known to date in the phase lock loops (PLLs) of a standard receiver and an ultra-tightly integrated GNSS/INS receiver are built, respectively. Based on these models, the tracking performances of the two receivers are compared to verify the improvement due to the ultra-tight integration. Meanwhile, the PLL error distributions of the two receivers are also depicted to analyze the error changes of the tracking loops. These results show that the tracking error is significantly reduced in the ultra-tightly integrated GNSS/INS receiver since the receiver's dynamics are estimated and compensated by an INS. Moreover, the mathematical relationship between the tracking performances of the ultra-tightly integrated GNSS/INS receiver and the quality of the selected inertial measurement unit (IMU) is derived from the error models and proved by the error comparisons of four ultra-tightly integrated GNSS/INS receivers aided by different grade IMUs.

Pedagogical alternatives for triple integrals: moving towards more inclusive and personalized learning

NASA Astrophysics Data System (ADS)

Tisdell, Christopher C.

2018-07-01

This paper is based on the presumption that teaching multiple ways to solve the same problem has academic and social value. In particular, we argue that such a multifaceted approach to pedagogy moves towards an environment of more inclusive and personalized learning. From a mathematics education perspective, our discussion is framed around pedagogical approaches to triple integrals seen in a standard multivariable calculus curriculum. We present some critical perspectives regarding the dominant and long-standing approach to the teaching of triple integrals currently seen in hegemonic calculus textbooks; and we illustrate the need for more diverse pedagogical methods. Finally, we take a constructive position by introducing a new and alternate pedagogical approach to solve some of the classical problems involving triple integrals from the literature through a simple application of integration by parts. This pedagogical alternative for triple integrals is designed to question the dominant one-size-fits-all approach of rearranging the order of integration and the privileging of graphical methods; and to enable a shift towards a more inclusive, enhanced and personalized learning experience.

And So It Grows: Using a Computer-Based Simulation of a Population Growth Model to Integrate Biology & Mathematics

ERIC Educational Resources Information Center

Street, Garrett M.; Laubach, Timothy A.

2013-01-01

We provide a 5E structured-inquiry lesson so that students can learn more of the mathematics behind the logistic model of population biology. By using models and mathematics, students understand how population dynamics can be influenced by relatively simple changes in the environment.

Pedagogical Usability of the Geometer's Sketchpad (GSP) Digital Module in the Mathematics Teaching

ERIC Educational Resources Information Center

Nordin, Norazah; Zakaria, Effandi; Mohamed, Nik Rahimah Nik; Embi, Mohamed Amin

2010-01-01

Teacher played an important role in ascertaining effective teaching of mathematics. The objective of this paper was to investigate the pedagogical usability of a digital module prototype that integrated a dynamic geometry software, Geometer's Sketchpad (GSP) in mathematics teaching. The prototype was developed based on Reiser's and Dick's…

Classroom-Based Professional Expertise: A Mathematics Teacher's Practice with Technology

ERIC Educational Resources Information Center

Bozkurt, Gulay; Ruthven, Kenneth

2017-01-01

This study examines the classroom practice and craft knowledge underpinning one teacher's integration of the use of GeoGebra software into mathematics teaching. The chosen teacher worked in an English secondary school and was professionally well regarded as an accomplished user of digital technology in mathematics teaching. Designed in accordance…

Technology Use and Mathematics Teaching: Teacher Change as Discursive Identity Work

ERIC Educational Resources Information Center

Chronaki, Anna; Matos, Anastasios

2014-01-01

Teacher change towards developing competences for technology use in mathematics teaching has been the focus of current educational reforms worldwide. However, a considerable amount of research denotes the extent to which teachers resist a full integration of technology in mathematics classrooms. The present paper is based on an ethnographic study…

A mathematical formulation for interface-based modular product design with geometric and weight constraints

NASA Astrophysics Data System (ADS)

Jung-Woon Yoo, John

2016-06-01

Since customer preferences change rapidly, there is a need for design processes with shorter product development cycles. Modularization plays a key role in achieving mass customization, which is crucial in today's competitive global market environments. Standardized interfaces among modularized parts have facilitated computational product design. To incorporate product size and weight constraints during computational design procedures, a mixed integer programming formulation is presented in this article. Product size and weight are two of the most important design parameters, as evidenced by recent smart-phone products. This article focuses on the integration of geometric, weight and interface constraints into the proposed mathematical formulation. The formulation generates the optimal selection of components for a target product, which satisfies geometric, weight and interface constraints. The formulation is verified through a case study and experiments are performed to demonstrate the performance of the formulation.

Profile of Metacognition of Mathematics and Mathematics Education Students in Understanding the Concept of Integral Calculus

NASA Astrophysics Data System (ADS)

Misu, La; Ketut Budayasa, I.; Lukito, Agung

2018-03-01

This study describes the metacognition profile of mathematics and mathematics education students in understanding the concept of integral calculus. The metacognition profile is a natural and intact description of a person’s cognition that involves his own thinking in terms of using his knowledge, planning and monitoring his thinking process, and evaluating his thinking results when understanding a concept. The purpose of this study was to produce the metacognition profile of mathematics and mathematics education students in understanding the concept of integral calculus. This research method is explorative method with the qualitative approach. The subjects of this study are mathematics and mathematics education students who have studied integral calculus. The results of this study are as follows: (1) the summarizing category, the mathematics and mathematics education students can use metacognition knowledge and metacognition skills in understanding the concept of indefinite integrals. While the definite integrals, only mathematics education students use metacognition skills; and (2) the explaining category, mathematics students can use knowledge and metacognition skills in understanding the concept of indefinite integrals, while the definite integrals only use metacognition skills. In addition, mathematics education students can use knowledge and metacognition skills in understanding the concept of both indefinite and definite integrals.

Numerical solution of linear and nonlinear Fredholm integral equations by using weighted mean-value theorem.

PubMed

Altürk, Ahmet

2016-01-01

Mean value theorems for both derivatives and integrals are very useful tools in mathematics. They can be used to obtain very important inequalities and to prove basic theorems of mathematical analysis. In this article, a semi-analytical method that is based on weighted mean-value theorem for obtaining solutions for a wide class of Fredholm integral equations of the second kind is introduced. Illustrative examples are provided to show the significant advantage of the proposed method over some existing techniques.

75 FR 62354 - Approval and Promulgation of Implementation Plans; Tennessee: Approval of Section 110(a)(1...

Federal Register 2010, 2011, 2012, 2013, 2014

2010-10-08

... conventional rounding rules, emission totals listed in Tables 1 and 2 may not reflect the absolute mathematical... absolute mathematical totals. As shown in Table 2 above, the Nashville Area is projected to steadily...-based standard, the air quality design value is simply the standard- related test statistic. Thus, for...

Research Commentary: Educational Technology--An Equity Challenge to the Common Core

ERIC Educational Resources Information Center

Kitchen, Richard; Berk, Sarabeth

2016-01-01

The implementation of the Common Core State Standards for Mathematics (National Governors Association Center for Best Practices & Council of Chief State School Officers, 2010) has the potential to move forward key features of standards-based reforms in mathematics that have been promoted in the United States for more than 2 decades (e.g.,…

The presence of mathematics and computer anxiety in nursing students and their effects on medication dosage calculations.

PubMed

Glaister, Karen

2007-05-01

To determine if the presence of mathematical and computer anxiety in nursing students affects learning of dosage calculations. The quasi-experimental study compared learning outcomes at differing levels of mathematical and computer anxiety when integrative and computer based learning approaches were used. Participants involved a cohort of second year nursing students (n=97). Mathematical anxiety exists in 20% (n=19) of the student nurse population, and 14% (n=13) experienced mathematical testing anxiety. Those students more anxious about mathematics and the testing of mathematics benefited from integrative learning to develop conditional knowledge (F(4,66)=2.52 at p<.05). Computer anxiety was present in 12% (n=11) of participants, with those reporting medium and high levels of computer anxiety performing less well than those with low levels (F(1,81)=3.98 at p<.05). Instructional strategies need to account for the presence of mathematical and computer anxiety when planning an educational program to develop competency in dosage calculations.

Ideas: NCTM Standards-Based Instruction, Grades K-4.

ERIC Educational Resources Information Center

Hynes, Michael C., Ed.

This document is a collection of activity-based mathematics lessons for grades K-4 from the "Ideas" department in "Arithmetic Teacher: Mathematics Education through the Middle Grades." Each lesson includes background information, objectives, directions, extensions, and student worksheets. A matrix is included which correlates…

Ideas: NCTM Standards-Based Instruction, Grades 5-8.

ERIC Educational Resources Information Center

Hynes, Michael C., Ed.

This document is a collection of activity-based mathematics lessons for grades 5-8 from the "Ideas" department in "Arithmetic Teacher: Mathematics Education through the Middle Grades." Each lesson includes background information, objectives, directions, extensions, and student worksheets. A matrix is included which correlates…

A Formal Model of Partitioning for Integrated Modular Avionics

NASA Technical Reports Server (NTRS)

DiVito, Ben L.

1998-01-01

The aviation industry is gradually moving toward the use of integrated modular avionics (IMA) for civilian transport aircraft. An important concern for IMA is ensuring that applications are safely partitioned so they cannot interfere with one another. We have investigated the problem of ensuring safe partitioning and logical non-interference among separate applications running on a shared Avionics Computer Resource (ACR). This research was performed in the context of ongoing standardization efforts, in particular, the work of RTCA committee SC-182, and the recently completed ARINC 653 application executive (APEX) interface standard. We have developed a formal model of partitioning suitable for evaluating the design of an ACR. The model draws from the mathematical modeling techniques developed by the computer security community. This report presents a formulation of partitioning requirements expressed first using conventional mathematical notation, then formalized using the language of SRI'S Prototype Verification System (PVS). The approach is demonstrated on three candidate designs, each an abstraction of features found in real systems.

Does Math Achievement "h'APP'en" when iPads and Game-Based Learning Are Incorporated into Fifth-Grade Mathematics Instruction?

ERIC Educational Resources Information Center

Carr, Jennie M.

2012-01-01

After 10 years of No Child Left Behind standards-focused education, mathematics scores have improved only marginally for elementary-aged students. Students who developed a solid conceptual mathematics foundation at the elementary level succeeded later in higher-level mathematics courses; thus, educators have sought ways to increase mathematics…

Developing Mathematical Thinking and Self-Regulated Learning: A Teaching Experiment in a Seventh-Grade Mathematics Classroom

ERIC Educational Resources Information Center

Pape, S. J.; Bell, C. V.; Yetkin, IE.

2003-01-01

Mathematics educators have found sociocultural models of teaching and learning to be powerful in their ability to describe and support the pursuit of instruction based on recent standards documents (e.g., National Council of Teachers of Mathematics [NCTM], 1989, 2000). These models of instruction, however, have been criticized for their lack of…

Factors Associated with Alignment between Teacher Survey Reports and Classroom Observation Ratings of Mathematics Instruction

ERIC Educational Resources Information Center

Kaufman, Julia Heath; Stein, Mary Kay; Junker, Brian

2016-01-01

We investigated the alignment between a teacher survey self-report measure and classroom observation measure of ambitious mathematics instructional practice among teachers in two urban school districts using two different standards-based mathematics curricula. Survey reports suggested mild differences in teachers' instructional practices between…

Designing Cognitive Complexity in Mathematical Problem-Solving Items

ERIC Educational Resources Information Center

Daniel, Robert C.; Embretson, Susan E.

2010-01-01

Cognitive complexity level is important for measuring both aptitude and achievement in large-scale testing. Tests for standards-based assessment of mathematics, for example, often include cognitive complexity level in the test blueprint. However, little research exists on how mathematics items can be designed to vary in cognitive complexity level.…

A Collaborative Approach to Incorporating Statistics in the Physiology Classroom

ERIC Educational Resources Information Center

Potterfield, April; Majerus, Mary

2008-01-01

Both the National Science Education Standards (NSES) and the National Council of Teachers of Mathematics (NCTM) recommend appropriately incorporating mathematics into other disciplines (NRC 1996; NRC 2003; NCTM 2000). With this in mind, an interdisciplinary, inquiry-based project was undertaken to incorporate mathematical analysis of data into a…

Teaching Primary School Mathematics and Statistics: Evidence-Based Practice

ERIC Educational Resources Information Center

Averill, Robin; Harvey, Roger

2010-01-01

Here is the only reference book you will ever need for teaching primary school mathematics and statistics. It is full of exciting and engaging snapshots of excellent classroom practice relevant to "The New Zealand Curriculum" and national mathematics standards. There are many fascinating examples of investigative learning experiences,…

The study of middle school mathematics and science teachers' practices, perceptions, and attitudes related to mathematics and science integration

NASA Astrophysics Data System (ADS)

Leszczynski, Eliza

The purpose of this qualitative study was to investigate the nature of mathematics and science connections made by sixth and seventh grade mathematics and science teachers in their classrooms. This study also examined the extent to which these connections represented mathematics and science integration and described the teachers' perceptions of and attitudes about mathematics and science integration. The primary data sources included classroom observations and teacher interviews. Findings suggested that teacher practices in making mathematics and science connections in the classroom incorporated many of the characteristics of integrated instruction presented in the literature. Teacher attitudes toward integration were found to be generally positive and supportive of integrated instruction. Mathematics teachers shared a common perception of integration being two separate lessons taught together in one lesson. In contrast, science teachers perceived integration to be a seamless blend of the two disciplines. The researcher related these perceptions and attitudes to the teachers' past experiences with mathematics and science connections and integration, and also to their practices of mathematics and science connections in the study.

Partial fourier and parallel MR image reconstruction with integrated gradient nonlinearity correction.

PubMed

Tao, Shengzhen; Trzasko, Joshua D; Shu, Yunhong; Weavers, Paul T; Huston, John; Gray, Erin M; Bernstein, Matt A

2016-06-01

To describe how integrated gradient nonlinearity (GNL) correction can be used within noniterative partial Fourier (homodyne) and parallel (SENSE and GRAPPA) MR image reconstruction strategies, and demonstrate that performing GNL correction during, rather than after, these routines mitigates the image blurring and resolution loss caused by postreconstruction image domain based GNL correction. Starting from partial Fourier and parallel magnetic resonance imaging signal models that explicitly account for GNL, noniterative image reconstruction strategies for each accelerated acquisition technique are derived under the same core mathematical assumptions as their standard counterparts. A series of phantom and in vivo experiments on retrospectively undersampled data were performed to investigate the spatial resolution benefit of integrated GNL correction over conventional postreconstruction correction. Phantom and in vivo results demonstrate that the integrated GNL correction reduces the image blurring introduced by the conventional GNL correction, while still correcting GNL-induced coarse-scale geometrical distortion. Images generated from undersampled data using the proposed integrated GNL strategies offer superior depiction of fine image detail, for example, phantom resolution inserts and anatomical tissue boundaries. Noniterative partial Fourier and parallel imaging reconstruction methods with integrated GNL correction reduce the resolution loss that occurs during conventional postreconstruction GNL correction while preserving the computational efficiency of standard reconstruction techniques. Magn Reson Med 75:2534-2544, 2016. © 2015 Wiley Periodicals, Inc. © 2015 Wiley Periodicals, Inc.

Integrating pedagogical content knowledge and pedagogical/psychological knowledge in mathematics

PubMed Central

Harr, Nora; Eichler, Andreas; Renkl, Alexander

2014-01-01

In teacher education at universities, general pedagogical and psychological principles are often treated separately from subject matter knowledge and therefore run the risk of not being applied in the teaching subject. In an experimental study (N = 60 mathematics student teachers) we investigated the effects of providing aspects of general pedagogical/psychological knowledge (PPK) and pedagogical content knowledge (PCK) in an integrated or separated way. In both conditions (“integrated” vs. “separated”), participants individually worked on computer-based learning environments addressing the same topic: use and handling of multiple external representations, a central issue in mathematics. We experimentally varied whether PPK aspects and PCK aspects were treated integrated or apart from one another. As expected, the integrated condition led to greater application of pedagogical/psychological aspects and an increase in applying both knowledge types simultaneously compared to the separated condition. Overall, our findings indicate beneficial effects of an integrated design in teacher education. PMID:25191300

Implications of the Next Generation Science Standards for Earth and Space Sciences

NASA Astrophysics Data System (ADS)

Wysession, M. E.; Colson, M.; Duschl, R. A.; Huff, K.; Lopez, R. E.; Messina, P.; Speranza, P.; Matthews, T.; Childress, J.

2012-12-01

The Next Generation Science Standards (NGSS), due to be released in 2013, set a new direction for K-12 science education in America. These standards will put forth significant changes for Earth and space sciences. The NGSS are based upon the recommendations of the National Research Council's 2011 report "A Framework for K-12 Science Education: Practices, Cross-Cutting Concepts, and Core Ideas." The standards are being written by a large group of authors who represent many different constituencies, including 26 participating states, in a process led by Achieve, Inc. The standards encourage innovative ways to teach science at the K-12 level, including enhanced integration between the content, practices, and crosscutting ideas of science and greater assimilation among the sciences and engineering, and among the sciences, mathematics, and English language arts. The NGSS presents a greater emphasis on Earth and space sciences than in previous standards, recommending a year at both the middle and high school levels. The new standards also present a greater emphasis on areas of direct impact between humans and the Earth system, including climate change, natural hazards, resource management, and sustainability.

Regularity Results for a Class of Functionals with Non-Standard Growth

NASA Astrophysics Data System (ADS)

Acerbi, Emilio; Mingione, Giuseppe

We consider the integral functional under non-standard growth assumptions that we call p(x) type: namely, we assume that a relevant model case being the functional Under sharp assumptions on the continuous function p(x)>1 we prove regularity of minimizers. Energies exhibiting this growth appear in several models from mathematical physics.

Analytical Derivation: An Epistemic Game for Solving Mathematically Based Physics Problems

ERIC Educational Resources Information Center

Bajracharya, Rabindra R.; Thompson, John R.

2016-01-01

Problem solving, which often involves multiple steps, is an integral part of physics learning and teaching. Using the perspective of the epistemic game, we documented a specific game that is commonly pursued by students while solving mathematically based physics problems: the "analytical derivation" game. This game involves deriving an…

Integrating Multicultural Children's Math Books into Kindergarten through Sixth-Grade Classrooms: Preservice Teachers' Reflections

ERIC Educational Resources Information Center

Harding, Jenni; Hbaci, Ilham; Loyd, Stacy; Hamilton, Boni

2017-01-01

This case study of mathematics instruction using children's literature reports on the experiences 47 elementary preservice teachers had in their mathematics methods course while completing a microteaching assignment. As part of the microteaching assignment, preservice teachers were required to plan and teach mathematics lessons based on children's…

for Middle School Science and Mathematics Teachers

ERIC Educational Resources Information Center

Lee, Mimi Miyoung; Chauvot, Jennifer B.; Vowell, Julie; Culpepper, Shea Mosley; Plankis, Brian J.

2013-01-01

This paper is based on an online graduate program for middle school science and mathematics teachers in Texas titled Integration of Science, Mathematics and Reflective Teaching (iSMART). Launching the program for its first cohort in fall 2010, the authors attempted to answer the following two questions in this paper: (a) How do the members of the…

Becoming Mathematicians: Women and Students of Color Choosing and Leaving Doctoral Mathematics

ERIC Educational Resources Information Center

Herzig, Abbe H.

2004-01-01

Few women and even fewer African Americans, Latinos, and Native Americans complete doctoral degrees in mathematics in the United States. This article proposes a framework for understanding the small numbers of women and students of color who persist in doctoral mathematics based on the notion that academic and social integration are critical to…

A Mathematical Model of a Simple Amplifier Using a Ferroelectric Transistor

NASA Technical Reports Server (NTRS)

Sayyah, Rana; Hunt, Mitchell; MacLeod, Todd C.; Ho, Fat D.

2009-01-01

This paper presents a mathematical model characterizing the behavior of a simple amplifier using a FeFET. The model is based on empirical data and incorporates several variables that affect the output, including frequency, load resistance, and gate-to-source voltage. Since the amplifier is the basis of many circuit configurations, a mathematical model that describes the behavior of a FeFET-based amplifier will help in the integration of FeFETs into many other circuits.

Teacher Implementation of Reform-Based Mathematics and Implications for Algebra Readiness: A Qualitative Study of 4th Grade Classrooms

ERIC Educational Resources Information Center

Sher, Stephen Korb

2011-01-01

This study looked at 4th grade classrooms to see "how" teachers implement NCTM standards-based or reform-based mathematics instruction and then analyzed it for the capacity to improve students' "algebra readiness." The qualitative study was based on classroom observations, teacher and administrator interviews, and teacher surveys. The study took…

Conducting "Good" Equity Research in Mathematics Education: A Question of Methodology

ERIC Educational Resources Information Center

Bullock, Erika C.

2012-01-01

Hostetler (2005) describes "good" education research as that which attends to the well-being of students, teachers, and communities. In this essay, the author proposes measuring equity-based research in mathematics education against Hostetler's standard. She argues that current equity-based research has not adequately addressed the…

High-efficiency non-uniformity correction for wide dynamic linear infrared radiometry system

NASA Astrophysics Data System (ADS)

Li, Zhou; Yu, Yi; Tian, Qi-Jie; Chang, Song-Tao; He, Feng-Yun; Yin, Yan-He; Qiao, Yan-Feng

2017-09-01

Several different integration times are always set for a wide dynamic linear and continuous variable integration time infrared radiometry system, therefore, traditional calibration-based non-uniformity correction (NUC) are usually conducted one by one, and furthermore, several calibration sources required, consequently makes calibration and process of NUC time-consuming. In this paper, the difference of NUC coefficients between different integration times have been discussed, and then a novel NUC method called high-efficiency NUC, which combines the traditional calibration-based non-uniformity correction, has been proposed. It obtains the correction coefficients of all integration times in whole linear dynamic rangesonly by recording three different images of a standard blackbody. Firstly, mathematical procedure of the proposed non-uniformity correction method is validated and then its performance is demonstrated by a 400 mm diameter ground-based infrared radiometry system. Experimental results show that the mean value of Normalized Root Mean Square (NRMS) is reduced from 3.78% to 0.24% by the proposed method. In addition, the results at 4 ms and 70 °C prove that this method has a higher accuracy compared with traditional calibration-based NUC. In the meantime, at other integration time and temperature there is still a good correction effect. Moreover, it greatly reduces the number of correction time and temperature sampling point, and is characterized by good real-time performance and suitable for field measurement.

An integrative approach to space-flight physiology using systems analysis and mathematical simulation

NASA Technical Reports Server (NTRS)

Leonard, J. I.; White, R. J.; Rummel, J. A.

1980-01-01

An approach was developed to aid in the integration of many of the biomedical findings of space flight, using systems analysis. The mathematical tools used in accomplishing this task include an automated data base, a biostatistical and data analysis system, and a wide variety of mathematical simulation models of physiological systems. A keystone of this effort was the evaluation of physiological hypotheses using the simulation models and the prediction of the consequences of these hypotheses on many physiological quantities, some of which were not amenable to direct measurement. This approach led to improvements in the model, refinements of the hypotheses, a tentative integrated hypothesis for adaptation to weightlessness, and specific recommendations for new flight experiments.

Rethinking Teacher Leader Development: A Study of Early Career Mathematics Teachers

ERIC Educational Resources Information Center

Huggins, Kristin Shawn; Lesseig, Kristin; Rhodes, Heidi

2017-01-01

In the era of standards-based reforms, informal teacher leadership is a critical factor in realizing instructional improvement. In this paper, we report on data from a one-year study of four early career mathematics teachers engaging in professional development around Common Core mathematical practices and leadership. Our findings highlight how…

Teacher Leaders for Mathematics Success (TL=MS). Final Evaluation Report

ERIC Educational Resources Information Center

Fancsali, Cheri

2004-01-01

Teacher Leaders for Mathematics Success (TL=MS) is a five-year project designed to build the capacity of Bronx teachers and schools in supporting continued improvement in mathematics education for all students in a standards-based environment. The project, implemented by the Institute for Literacy Studies at Lehman College and funded by the…

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…

Impact of a Web-Based Adaptive Supplemental Digital Resource on Student Mathematics Performance

ERIC Educational Resources Information Center

Sharp, Laurie A.; Hamil, Marc

2018-01-01

Much literature has presented evidence that supplemental digital resources enhance student performance with mathematics. The purpose of this study was to explore the impact of a web-adaptive digital resource, Think Through Math©, on student performance with state-mandated annual standardized mathematics assessments. This study utilized a…

Judging Alignment of Curriculum-Based Measures in Mathematics and Common Core Standards

ERIC Educational Resources Information Center

Morton, Christopher

2013-01-01

Measurement literature supports the utility of alignment models for application with state standards and large-scale assessments. However, the literature is lacking in the application of these models to curriculum-based measures (CBMs) and common core standards. In this study, I investigate the alignment of CBMs and standards, with specific…

Packing Up for the Moon: Human Exploration Project Engineering Design Challenge. Design, Build and Evaluate. A Standards-Based Middle School Unit Guide. Engineering By Design: Advancing Technological Literacy--A Standards-Based Program Series

ERIC Educational Resources Information Center

NASA Educator Resource Center at Marshall Space Flight Center, 2007

2007-01-01

The Human Exploration Project (HEP) units have several common characteristics. All units: (1) Are based upon the Technological Literacy standards (ITEA, 2000/2002); (2) Coordinate with Science (AAAS, 1993) and Mathematics standards (NCTM, 2000); (3) Utilize a standards-based development approach (ITEA, 2005); (4) Stand alone and coordinate with…

A new standard model for milk yield in dairy cows based on udder physiology at the milking-session level.

PubMed

Gasqui, Patrick; Trommenschlager, Jean-Marie

2017-08-21

Milk production in dairy cow udders is a complex and dynamic physiological process that has resisted explanatory modelling thus far. The current standard model, Wood's model, is empirical in nature, represents yield in daily terms, and was published in 1967. Here, we have developed a dynamic and integrated explanatory model that describes milk yield at the scale of the milking session. Our approach allowed us to formally represent and mathematically relate biological features of known relevance while accounting for stochasticity and conditional elements in the form of explicit hypotheses, which could then be tested and validated using real-life data. Using an explanatory mathematical and biological model to explore a physiological process and pinpoint potential problems (i.e., "problem finding"), it is possible to filter out unimportant variables that can be ignored, retaining only those essential to generating the most realistic model possible. Such modelling efforts are multidisciplinary by necessity. It is also helpful downstream because model results can be compared with observed data, via parameter estimation using maximum likelihood and statistical testing using model residuals. The process in its entirety yields a coherent, robust, and thus repeatable, model.

Effects of a Reform High School Mathematics Curriculum on Student Achievement: Whom Does It Benefit?

ERIC Educational Resources Information Center

Krupa, Erin E.; Confrey, Jere

2017-01-01

This study compared the effects of an integrated reform-based curriculum to a subject-specific curriculum on student learning of 19,526 high school algebra students. Using hierarchical linear modelling to account for variation in student achievement, the impact of the reform-based "Core-Plus Mathematics" curricular materials on student…

Scan-To Output Validation: Towards a Standardized Geometric Quality Assessment of Building Information Models Based on Point Clouds

NASA Astrophysics Data System (ADS)

Bonduel, M.; Bassier, M.; Vergauwen, M.; Pauwels, P.; Klein, R.

2017-11-01

The use of Building Information Modeling (BIM) for existing buildings based on point clouds is increasing. Standardized geometric quality assessment of the BIMs is needed to make them more reliable and thus reusable for future users. First, available literature on the subject is studied. Next, an initial proposal for a standardized geometric quality assessment is presented. Finally, this method is tested and evaluated with a case study. The number of specifications on BIM relating to existing buildings is limited. The Levels of Accuracy (LOA) specification of the USIBD provides definitions and suggestions regarding geometric model accuracy, but lacks a standardized assessment method. A deviation analysis is found to be dependent on (1) the used mathematical model, (2) the density of the point clouds and (3) the order of comparison. Results of the analysis can be graphical and numerical. An analysis on macro (building) and micro (BIM object) scale is necessary. On macro scale, the complete model is compared to the original point cloud and vice versa to get an overview of the general model quality. The graphical results show occluded zones and non-modeled objects respectively. Colored point clouds are derived from this analysis and integrated in the BIM. On micro scale, the relevant surface parts are extracted per BIM object and compared to the complete point cloud. Occluded zones are extracted based on a maximum deviation. What remains is classified according to the LOA specification. The numerical results are integrated in the BIM with the use of object parameters.

Teaching Mathematics Bilingually for Kindergarten Students with Teaching Aids Based on Local Wisdom

ERIC Educational Resources Information Center

Ambarini, Ririn; Setyaji, Arso; Suneki, Sri

2018-01-01

Language and Mathematics are both skills and knowledge that need to master well so that it can be the provision for students' future life when mingling with the community or society. Because of that the integration of teaching both language and Mathematics in bilingual Math learning will give many benefits to the students. They will learn not only…

Experiencing teaching and learning quantitative reasoning in a project-based context

NASA Astrophysics Data System (ADS)

Muir, Tracey; Beswick, Kim; Callingham, Rosemary; Jade, Katara

2016-12-01

This paper presents the findings of a small-scale study that investigated the issues and challenges of teaching and learning about quantitative reasoning (QR) within a project-based learning (PjBL) context. Students and teachers were surveyed and interviewed about their experiences of learning and teaching QR in that context in contrast to teaching and learning mathematics in more traditional settings. The grade 9-12 student participants were characterised by a history of disengagement with mathematics and school in general, and the teacher participants were non-mathematics specialist teachers. Both students and teachers were new to the PjBL situation, which resulted in the teaching/learning relationship being a reciprocal one. The findings indicated that students and teachers viewed QR positively, particularly when compared with traditional mathematics teaching, yet tensions were identified for aspects such as implementation of curriculum and integration of relevant mathematics into projects. Both sets of participants identified situations where learning QR was particularly successful, along with concerns or difficulties about integrating QR into project work. The findings have implications for educators, who may need to examine their own approaches to mathematics teaching, particularly in terms of facilitating student engagement with the subject.

Utilizing the National Research Council's (NRC) Conceptual Framework for the Next Generation Science Standards (NGSS): A Self-Study in My Science, Engineering, and Mathematics Classroom

NASA Astrophysics Data System (ADS)

Corvo, Arthur Francis

Given the reality that active and competitive participation in the 21 st century requires American students to deepen their scientific and mathematical knowledge base, the National Research Council (NRC) proposed a new conceptual framework for K--12 science education. The framework consists of an integration of what the NRC report refers to as the three dimensions: scientific and engineering practices, crosscutting concepts, and core ideas in four disciplinary areas (physical, life and earth/spaces sciences, and engineering/technology). The Next Generation Science Standards (NGSS ), which are derived from this new framework, were released in April 2013 and have implications on teacher learning and development in Science, Technology, Engineering, and Mathematics (STEM). Given the NGSS's recent introduction, there is little research on how teachers can prepare for its release. To meet this research need, I implemented a self-study aimed at examining my teaching practices and classroom outcomes through the lens of the NRC's conceptual framework and the NGSS. The self-study employed design-based research (DBR) methods to investigate what happened in my secondary classroom when I designed, enacted, and reflected on units of study for my science, engineering, and mathematics classes. I utilized various best practices including Learning for Use (LfU) and Understanding by Design (UbD) models for instructional design, talk moves as a tool for promoting discourse, and modeling instruction for these designed units of study. The DBR strategy was chosen to promote reflective cycles, which are consistent with and in support of the self-study framework. A multiple case, mixed-methods approach was used for data collection and analysis. The findings in the study are reported by study phase in terms of unit planning, unit enactment, and unit reflection. The findings have implications for science teaching, teacher professional development, and teacher education.

The effects of an integrated Algebra 1/physical science curriculum on student achievement in Algebra 1, proportional reasoning and graphing abilities

NASA Astrophysics Data System (ADS)

Lawrence, Lettie Carol

1997-08-01

The purpose of this investigation was to determine if an integrated curriculum in algebra 1/physical science facilitates acquisition of proportional reasoning and graphing abilities better than a non-integrated, traditional, algebra 1 curriculum. Also, this study was to ascertain if the integrated algebra 1/physical science curriculum resulted in greater student achievement in algebra 1. The curriculum used in the experimental class was SAM 9 (Science and Mathematics 9), an investigation-based curriculum that was written to integrate physical science and basic algebra content. The experiment was conducted over one school year. The subjects in the study were 61 ninth grade students. The experimental group consisted of one class taught concurrently by a mathematics teacher and a physical science teacher. The control group consisted of three classes of algebra 1 students taught by one mathematics teacher and taking physical science with other teachers in the school who were not participating in the SAM 9 program. This study utilized a quasi-experimental non-randomized control group pretest-posttest design. The investigator obtained end-of-algebra 1 scores from student records. The written open-ended graphing instruments and the proportional reasoning instrument were administered to both groups as pretests and posttests. The graphing instruments were also administered as a midtest. A two sample t-test for independent means was used to determine significant differences in achievement on the end-of-course algebra 1 test. Quantitative data from the proportional reasoning and graphing instruments were analyzed using a repeated measures analysis of variance to determine differences in scores over time for the experimental and control groups. The findings indicate no significant difference between the experimental and control groups on the end-of-course algebra 1 test. Results also indicate no significant differences in proportional reasoning and graphing abilities between the two groups over time. However, all subjects (experimental and control groups) made significant improvement in graphing abilities over one school year. In this study, students participating in an investigation-based curriculum integrating algebra 1 and physical science performed as well on the instruments as the students in the traditional curriculum. Therefore, an argument can be made that instruction using an integrated curriculum (algebra l/physical science) is a viable alternative to instruction using a more traditional algebra 1 curriculum. Finally, the integrated curriculum adheres to the constructivist theoretical perspective (Krupnik-Gotlieb, 1995) and is more consistent with recommendations in the NCTM Standards (1992) than the traditional curriculum.

Entrez Neuron RDFa: a pragmatic semantic web application for data integration in neuroscience research.

PubMed

Samwald, Matthias; Lim, Ernest; Masiar, Peter; Marenco, Luis; Chen, Huajun; Morse, Thomas; Mutalik, Pradeep; Shepherd, Gordon; Miller, Perry; Cheung, Kei-Hoi

2009-01-01

The amount of biomedical data available in Semantic Web formats has been rapidly growing in recent years. While these formats are machine-friendly, user-friendly web interfaces allowing easy querying of these data are typically lacking. We present "Entrez Neuron", a pilot neuron-centric interface that allows for keyword-based queries against a coherent repository of OWL ontologies. These ontologies describe neuronal structures, physiology, mathematical models and microscopy images. The returned query results are organized hierarchically according to brain architecture. Where possible, the application makes use of entities from the Open Biomedical Ontologies (OBO) and the 'HCLS knowledgebase' developed by the W3C Interest Group for Health Care and Life Science. It makes use of the emerging RDFa standard to embed ontology fragments and semantic annotations within its HTML-based user interface. The application and underlying ontologies demonstrate how Semantic Web technologies can be used for information integration within a curated information repository and between curated information repositories. It also demonstrates how information integration can be accomplished on the client side, through simple copying and pasting of portions of documents that contain RDFa markup.

Preservice Teachers' Perceptions of the Integration of Mathematics, Reading, and Writing.

ERIC Educational Resources Information Center

Reinke, Kathryn; Mokhtari, Kouider; Willner, Elizabeth

1997-01-01

Examined the perceptions of preservice elementary teachers enrolled in reading, mathematics, and integrating reading and mathematics methods courses about integrating mathematics, reading, and writing instruction at the elementary/middle school level. Surveys indicated that all students were generally positive about instructional integration. They…

[An integrated assessment method of ecological quality status in coastal waters: taking Tong'an Bay as a case].

PubMed

Chen, Zhao-hua; Wu, Hai-yan; Chen, Ke-liang; Chen, Qing-hui; Wu, Ji-chun; Zhang, Jing-fei

2011-07-01

Based on the integrated assessment methods of ecological quality status (EcoQS) in coastal waters abroad as well as the domestic related research status, 11 indices were selected from the biotic and physicochemical elements of water and sediment to built an integrated EcoQS assessment index system, and, with the comprehensive consideration of domestic and international evaluation standards, 5 levels of EcoQS classified as "high, good, moderate, poor, and bad" were determined. Then, an integrated assessment method of EcoQS in coastal waters was established by using analytic hierarchy process (AHP) and fuzzy mathematics method, and tested by the analysis of the correlations between the EcoQS grade and the major anthropogenic disturbances and pollutant concentrations of Tong' an Bay. The EcoQS of Tong' an Bay was assessed as moderate, i.e., the Bay was moderately disturbed and in transitional to poor status. The established integrated assessment method could not only reflect the major anthropogenic environmental pressure and risk factors, but also give an early warning of the pollutants satisfied by law in the study area.

Investigating the Mathematical Equivalence of Written and Enacted Middle School "Standards"-Based Curricula: Focus on Rational Numbers

ERIC Educational Resources Information Center

Newton, Jill A.

2012-01-01

Although the question of whether written curricula are implemented according to the intentions of curriculum developers has already spurred much research, current methods for documenting curricular implementation seem to be missing a critical piece: the mathematics. To add a mathematical perspective to the discussion of the admittedly…

Implementing Reform Curriculum: Voicing the Experiences of an ESL/Mathematics Teacher

ERIC Educational Resources Information Center

Celedon-Pattichis, Sylvia

2010-01-01

The purpose of this 18-month case study is to highlight the successes and challenges that an ESL/mathematics teacher encountered as she made a shift from traditional mathematics curriculum to a standards-based curriculum as part of a statewide systemic initiative. The study was conducted in an urban, public middle school in Central Texas that…

Using a Functional Model to Develop a Mathematical Formula

ERIC Educational Resources Information Center

Otto, Charlotte A.; Everett, Susan A.; Luera, Gail R.

2008-01-01

The unifying theme of models was incorporated into a required Science Capstone course for pre-service elementary teachers based on national standards in science and mathematics. A model of a teeter-totter was selected for use as an example of a functional model for gathering data as well as a visual model of a mathematical equation for developing…

On the Nature of and Teachers' Goals for Students' Mathematical Argumentation in High School Classrooms

ERIC Educational Resources Information Center

Howell, Tracey H.

2013-01-01

In an era of new standards and emerging accountability systems, an understanding of the supports needed to aid teachers and students in making necessary transitions in mathematics teaching and learning is critical. Given the established research base demonstrating the importance of justification and reasoning in students' mathematics learning and…

Refocusing on Oral Language and Rich Representations to Develop the Early Mathematical Understandings of Indigenous Students

ERIC Educational Resources Information Center

McDonald, Susan; Warren, Elizabeth; DeVries, Eva

2011-01-01

This article examines the nature of oral language and representations used by teachers as they instruct young Indigenous Australian students at the beginning of formal schooling during play-based activities in mathematics. In particular, the use of Standard Australian English (SAE), the mathematical register used, and the interplay with…

Comparison of Virginia's 2009 Mathematics Standards of Learning with the Common Core State Standards for Mathematics

ERIC Educational Resources Information Center

Virginia Department of Education, 2011

2011-01-01

This first draft of the "Comparison of Virginia's 2009 Mathematics Standards of Learning (SOL) with the Common Core State Standards (CCSS) for Mathematics" provides a side-by-side overview demonstrating how the 2009 Mathematics SOL are aligned to the CCSS. The comparison was made using Virginia's complete standards program for supporting…

Dynamic Boolean Mathematics

ERIC Educational Resources Information Center

Bossé, Michael J.; Adu-Gyamfi, Kwaku; Chandler, Kayla; Lynch-Davis, Kathleen

2016-01-01

Dynamic mathematical environments allow users to reify mathematical concepts through multiple representations, transform mathematical relations and organically explore mathematical properties, investigate integrated mathematics, and develop conceptual understanding. Herein, we integrate Boolean algebra, the functionalities of a dynamic…

Development of Contextual Mathematics teaching Material integrated related sciences and realistic for students grade xi senior high school

NASA Astrophysics Data System (ADS)

Helma, H.; Mirna, M.; Edizon, E.

2018-04-01

Mathematics is often applied in physics, chemistry, economics, engineering, and others. Besides that, mathematics is also used in everyday life. Learning mathematics in school should be associated with other sciences and everyday life. In this way, the learning of mathematics is more realstic, interesting, and meaningful. Needs analysis shows that required contextual mathematics teaching materials integrated related sciences and realistic on learning mathematics. The purpose of research is to produce a valid and practical contextual mathematics teaching material integrated related sciences and realistic. This research is development research. The result of this research is a valid and practical contextual mathematics teaching material integrated related sciences and realistic produced

Integrated methodology for standard-setting norms of innovative product in the new competitive environment

NASA Astrophysics Data System (ADS)

Polyakova, Marina; Rubin, Gennadiy

2017-07-01

Modern theory of technological and economical development is based on long-term cycles. So far it has been proved that the technological structure of the economy can be subdivided into groups of technological complexes, which are inter-related with each other by similar technological links, so called technological modes. Technological mode is defined as a complex of interrelated production units of similar technological level, which develop simultaneously. In order to provide competitiveness of products in the new changing conditions, it is necessary to make sure that they meet all the regulatory requirements specified in standards. But the existing and the fast changing situation on the merchandise markets causes disbalance between the growing customer requirements and the technological capabilities of the manufacturer. This makes the issue of standardization development even more urgent both from the point of view of establishing the current positions and from the point of view of possible promising development trends in technology. In the paper scientific and engineering principles of developing standardization as a science are described. It is shown that further development of standardization is based on the principles of advanced standardization the main idea of which is to set up the prospective requirements to the innovative product. Modern approaches of advanced standardization are shown in this paper. The complexity of the negotiation procedure between customer and manufacturer as a whole and achieving of consensus, in particular, make it necessary to find conceptually new approaches to developing mathematical models. The developed methodology picture the process of achieving the consensus between customer and manufacturer while developing the standard norms in the form of decreasing S-curve diagram. It means that in the end of the negotiation process, there is no difference between customer and manufacturer positions. It makes it possible to provide the basics of the assessment using the differential equation of the relationship between the rate of change of quality assessment and the distance of the estimated parameter value from the best value to the worst one. The obtained mathematical model can be used in the practice of standardization decreasing time of setting standard norms.

Geometry and Integrability

NASA Astrophysics Data System (ADS)

Mason, Lionel; Nutku, Yavuz

2003-12-01

Based on courses held at the Feza GÜrsey Institute, this collection of survey articles introduces advanced graduate students to an exciting area on the border of mathematics and mathematical physics. Including articles by key names such as Calogero, Donagi and Mason, it features the algebro-geometric material from Donagi as well as the twistor space methods in Woodhouse's contribution, forming a bridge between the pure mathematics and the more physical approaches.

How Can We Best Use Our School Garden Space? Exploring the Concepts of Area and Perimeter in an Authentic Learning Context

ERIC Educational Resources Information Center

Selmer, Sarah; Valentine, Keri; Luna, Melissa; Rummel, Sarah; Rye, James

2016-01-01

Using Garden Based Learning (GBL) as an integrated mathematics and science unit, this article describes the mathematical journey of students as they work through the process of designing their own garden beds.

An Evaluation of an Elementary Mathematics Program at a Medium-Sized Suburban School District in North Carolina

ERIC Educational Resources Information Center

Honeycutt, Robin A.

2013-01-01

Math instruction has undergone a tremendous amount of change since the late 1950s. "New math" of the 1960s, the standards movement, back to the basics in the early 90s, and now the common core standards have all had an impact on how mathematics is taught. This study examined the Math Expressions program, a conceptually based program…

The Effectiveness of Professional Development Using a Checklist of Common Core State Standards for Mathematical Practice for Designing and Delivering Instruction on Algebra I Achievement

ERIC Educational Resources Information Center

Peretin, Janeen

2014-01-01

This study was designed to determine whether or not the use of focused professional development using a checklist based on the Common Core State Standards Mathematical Practices impacted students' math scores as measured by an assessment that requires the use of the practices. Additionally, the researcher sought to determine whether or not the use…

Video Analysis Software and the Investigation of the Conservation of Mechanical Energy

ERIC Educational Resources Information Center

Bryan, Joel

2004-01-01

National science and mathematics standards stress the importance of integrating technology use into those fields of study at all levels of education. In order to fulfill these directives, it is necessary to introduce both in-service and preservice teachers to various forms of technology while modeling its appropriate use in investigating…

Professional Development for the Integration of Engineering in High School STEM Classrooms

ERIC Educational Resources Information Center

Singer, Jonathan E.; Ross, Julia M.; Jackson-Lee, Yvette

2016-01-01

Science, Technology, Engineering, and Mathematics (STEM) education in the U.S. is in transition. The recently published "A Framework for K-12 Science Education: Practices, Crosscutting Concepts, and Core Ideas" as well as the "Next Generation Science Standards" are responsive to this call and clearly articulate a vision that…

Middle-School Mathematics Teachers' Beliefs in NCTM's Vision

ERIC Educational Resources Information Center

Perrin, John Robert

2012-01-01

This study examined the extent to which seventh- and eighth-grade mathematics teachers are aware of National Council of Teachers of Mathematics (NCTM) standards documents, Curriculum and Evaluation Standards for School Mathematics and Principles and Standards for School Mathematics and agree with NCTM's vision of school mathematics as expressed in…

Practical Math Skills: Situations--Strategies--Solutions. Intermediate Level. Grades 4-5-6.

ERIC Educational Resources Information Center

Duncan, Jim

This material is a supplement to existing mathematics programs for young learners. The activities presented are based on assumptions about the young problem solver which are difficult to address in standard mathematics texts. In these pages it is assumed that each learner brings to the problem-solving effort a very personal experience base and a…

"Better to Be a Pessimist": A Narrative Inquiry into Mathematics Teachers' Experience of the Transition to the Common Core

ERIC Educational Resources Information Center

Martinie, Sherri L.; Kim, Jeong-Hee; Abernathy, Deborah

2016-01-01

The Common Core State Standards (CCSS) are a focus of state education policy today influencing curriculum implementation and assessment in public schools. The purpose of this narrative inquiry is to understand how high school mathematics teachers experience the transition period. Based on interviews with mathematics teachers in a high school in…

Utilizing Model Eliciting Activities (MEA's) to engage middle school teachers and students in storm water management practices to mitigate human impacts of land development

NASA Astrophysics Data System (ADS)

Tazaz, A.; Wilson, R. M.; Schoen, R.; Blumsack, S.; King, L.; Dyehouse, M.

2013-12-01

'The Integrating STEM Project' engaged 6-8 grade teachers through activities incorporating mathematics, science and technology incorporating both Next Generation Science Standards (NGSS) and Common Core State Standards-Mathematics (CCSS-Math). A group of researchers from Oceanography, Mathematics, and Education set out to provide middle school teachers with a 2 year intensive STEM integration professional development with a focus on environmental topics and to monitor the achievement outcomes in their students. Over the course of 2 years the researchers created challenging professional development sessions to expand teacher knowledge and teachers were tasked to transform the information gained during the professional development sessions for classroom use. One lesson resource kit presented to the teachers, which was directly applicable to the classroom, included Model Eliciting Activities (MEA's) to explore the positive and negative effects land development has on climate and the environment, and how land development impacts storm water management. MEA's were developed to encourage students to create models to solve complex problems and to allow teachers to investigate students thinking. MEA's are a great curriculum technique used in engineering fields to help engage students by providing hands on activities using real world data and problems. We wish to present the Storm Water Management Resource toolkit including the MEA and present the outcomes observed from student engagement in this activity.

Generating Cultures for Mathematical Microworld Development in a Multi-Organizational Context.

ERIC Educational Resources Information Center

Kynigos, Chronis

2002-01-01

Discusses methodological issues of mathematical microworld development integrated with generating innovation in school settings. Includes experiences in developing a component architecture for educational software based on Logo as a scripting language and discusses problems of collaboration between organizations and people of differing expertise…

The Integration of technology in teaching mathematics

NASA Astrophysics Data System (ADS)

Muhtadi, D.; Wahyudin; Kartasasmita, B. G.; Prahmana, R. C. I.

2017-12-01

This paper presents the Transformation of Technological Pedagogical and Content Knowledge (TPACK) of three pre-service math teacher. They participate in technology-based learning modules aligned with teaching practice taught school and became characteristic of teaching method by using the mathematical software. ICT-based learning environment has been the demands in practice learning to build a more effective approach to the learning process of students. Also, this paper presents the results of research on learning mathematics in middle school that shows the influence of design teaching on knowledge of math content specifically.

An overview of methods to identify and manage uncertainty for modelling problems in the water-environment-agriculture cross-sector

DOE PAGES

Jakeman, Anthony J.; Jakeman, John Davis

2018-03-14

Uncertainty pervades the representation of systems in the water–environment–agriculture cross-sector. Successful methods to address uncertainties have largely focused on standard mathematical formulations of biophysical processes in a single sector, such as partial or ordinary differential equations. More attention to integrated models of such systems is warranted. Model components representing the different sectors of an integrated model can have less standard, and different, formulations to one another, as well as different levels of epistemic knowledge and data informativeness. Thus, uncertainty is not only pervasive but also crosses boundaries and propagates between system components. Uncertainty assessment (UA) cries out for more eclecticmore » treatment in these circumstances, some of it being more qualitative and empirical. Here in this paper, we discuss the various sources of uncertainty in such a cross-sectoral setting and ways to assess and manage them. We have outlined a fast-growing set of methodologies, particularly in the computational mathematics literature on uncertainty quantification (UQ), that seem highly pertinent for uncertainty assessment. There appears to be considerable scope for advancing UA by integrating relevant UQ techniques into cross-sectoral problem applications. Of course this will entail considerable collaboration between domain specialists who often take first ownership of the problem and computational methods experts.« less

An overview of methods to identify and manage uncertainty for modelling problems in the water-environment-agriculture cross-sector

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

Jakeman, Anthony J.; Jakeman, John Davis

Uncertainty pervades the representation of systems in the water–environment–agriculture cross-sector. Successful methods to address uncertainties have largely focused on standard mathematical formulations of biophysical processes in a single sector, such as partial or ordinary differential equations. More attention to integrated models of such systems is warranted. Model components representing the different sectors of an integrated model can have less standard, and different, formulations to one another, as well as different levels of epistemic knowledge and data informativeness. Thus, uncertainty is not only pervasive but also crosses boundaries and propagates between system components. Uncertainty assessment (UA) cries out for more eclecticmore » treatment in these circumstances, some of it being more qualitative and empirical. Here in this paper, we discuss the various sources of uncertainty in such a cross-sectoral setting and ways to assess and manage them. We have outlined a fast-growing set of methodologies, particularly in the computational mathematics literature on uncertainty quantification (UQ), that seem highly pertinent for uncertainty assessment. There appears to be considerable scope for advancing UA by integrating relevant UQ techniques into cross-sectoral problem applications. Of course this will entail considerable collaboration between domain specialists who often take first ownership of the problem and computational methods experts.« less

Connecting mathematics learning through spatial reasoning

NASA Astrophysics Data System (ADS)

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

2018-03-01

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

Visuospatial training improves elementary students' mathematics performance.

PubMed

Lowrie, Tom; Logan, Tracy; Ramful, Ajay

2017-06-01

Although spatial ability and mathematics performance are highly correlated, there is scant research on the extent to which spatial ability training can improve mathematics performance. This study evaluated the efficacy of a visuospatial intervention programme within classrooms to determine the effect on students' (1) spatial reasoning and (2) mathematics performance as a result of the intervention. The study involved grade six students (ages 10-12) in eight classes. There were five intervention classes (n = 120) and three non-intervention control classes (n = 66). A specifically designed 10-week spatial reasoning programme was developed collaboratively with the participating teachers, with the intervention replacing the standard mathematics curriculum. The five classroom teachers in the intervention programme presented 20 hr of activities aimed at enhancing students' spatial visualization, mental rotation, and spatial orientation skills. The spatial reasoning programme led to improvements in both spatial ability and mathematics performance relative to the control group who received standard mathematics instruction. Our study is the first to show that a classroom-based spatial reasoning intervention improves elementary school students' mathematics performance. © 2017 The British Psychological Society.

Improving preschoolers' mathematics achievement with tablets: a randomized controlled trial

NASA Astrophysics Data System (ADS)

Schacter, John; Jo, Booil

2017-09-01

With a randomized field experiment of 433 preschoolers, we tested a tablet mathematics program designed to increase young children's mathematics learning. Intervention students played Math Shelf, a comprehensive iPad preschool and year 1 mathematics app, while comparison children received research-based hands-on mathematics instruction delivered by their classroom teachers. After 22 weeks, there was a large and statistically significant effect on mathematics achievement for Math Shelf students (Cohen's d = .94). Moderator analyses demonstrated an even larger effect for low achieving children (Cohen's d = 1.27). These results suggest that early education teachers can improve their students' mathematics outcomes by integrating experimentally proven tablet software into their daily routines.

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…

Getting Real: Implementing Assessment Alternatives in Mathematics.

ERIC Educational Resources Information Center

Hopkins, Martha H.

1997-01-01

Recounts experiences of a university professor who returned to the elementary classroom and attempted to implement the National Council of Teachers of Mathematics Standards and appropriate assessment methods, including nontraditional paper-and-pencil tasks, journal-like writing assignments, focused observations, and performance-based assessments…

A Computer-Assisted Framework Based on a Cognitivist Learning Theory for Teaching Mathematics in the Early Primary Years

ERIC Educational Resources Information Center

Moradmand, Nasrin; Datta, Amitava; Oakley, Grace

2012-01-01

With the world moving rapidly into digital media and information, the ways in which learning activities in mathematics can be created and delivered are changing. However, to get the best results from the integration of ICTs in education, any application's design and development needs to be based on pedagogically appropriate principles, in terms of…

A Problem Based Learning (PBL) Application for the Teaching of Mathematics and Chemistry in Higher Schools and Tertiary Education: An Integrative Approach

ERIC Educational Resources Information Center

Fatokun, J. O.; Fatokun, K. V. F.

2013-01-01

In this paper, we present the concept of problem-based learning as a tool for learning Mathematics and Chemistry, and in fact, all sciences, using life situations or simulated scenario. The methodology involves some level of brain storming. Here, active learning takes place and knowledge gained by students either way through a collaborative…

Integrating Physics and Math through Microcomputer-Based Laboratories (MBL): Effects on Discourse Type, Quality, and Mathematization

ERIC Educational Resources Information Center

BouJaoude, Saouma B.; Jurdak, Murad E.

2010-01-01

The purposes of this study were to understand the nature of discourse in terms of knowledge types and cognitive process, source of utterances (student or teacher), and time use in microcomputer-based labs (MBL) and verification type labs (VTL) and to gain an understanding of the role of MBL in promoting mathematization. The study was conducted in…

Literacy in the National Science and Mathematics Standards: Communication and Reasoning. Report Series 3.14.

ERIC Educational Resources Information Center

Kouba, Vicky L.; Champagne, Audrey B.; Piscitelli, Michael; Havasy, Monique; White, Kara; Hurley, Marlene

A study analyzed in detail the perspectives in science and mathematics literacy found in the national standards for science and mathematics. The National Science Education Standards (NSES), the Benchmarks for Science Literacy, the Curriculum and Evaluation Standards for School Mathematics, and the Professional Teaching Standards for School…

An implicit boundary integral method for computing electric potential of macromolecules in solvent

NASA Astrophysics Data System (ADS)

Zhong, Yimin; Ren, Kui; Tsai, Richard

2018-04-01

A numerical method using implicit surface representations is proposed to solve the linearized Poisson-Boltzmann equation that arises in mathematical models for the electrostatics of molecules in solvent. The proposed method uses an implicit boundary integral formulation to derive a linear system defined on Cartesian nodes in a narrowband surrounding the closed surface that separates the molecule and the solvent. The needed implicit surface is constructed from the given atomic description of the molecules, by a sequence of standard level set algorithms. A fast multipole method is applied to accelerate the solution of the linear system. A few numerical studies involving some standard test cases are presented and compared to other existing results.

An Integrated, Problem-Based Learning Material: The "Satellite" Module

ERIC Educational Resources Information Center

Selcuk, Gamze Sezgin; Emiroglu, Handan Byacioglu; Tarakci, Mehmet; Ozel, Mustafa

2011-01-01

The purpose of this study is to introduce a problem-based learning material, the Satellite Module, that has integrated some of the subjects included in the disciplines of physics and mathematics at an introductory level in undergraduate education. The reason why this modular and problem-based material has been developed is to enable students to…

Challenges of Integrating Mobile Technology into Mathematics Instruction in Secondary Schools: An Indonesian Context

ERIC Educational Resources Information Center

Abidin, Zaenal; Mathrani, Anuradha; Hunter, Roberta; Parsons, David

2017-01-01

Implementing mobile learning in curriculum-based educational settings faces challenges related to perceived ethical and learning issues. This study investigated the affordances of mobile technologies to support mathematics instruction by teachers. An exploratory study employing questionnaires and semi-structured interviews revealed that, while…

Students' Attitude towards STEM Education

ERIC Educational Resources Information Center

Popa, Roxana-Alexandra; Ciascai, Liliana

2017-01-01

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

Mathematizing: An Emergent Math Curriculum Approach for Young Children

ERIC Educational Resources Information Center

Rosales, Allen C.

2015-01-01

Based on years of research with early childhood teachers, author Allen Rosales provides an approach to create an emergent math curriculum that integrates children's interests with math concepts. The mathematizing approach is different from traditional math curriculums, as it immerses children in a process that is designed to develop their…

Beyond Epistemological Deficits: Dynamic Explanations of Engineering Students' Difficulties with Mathematical Sense-Making

ERIC Educational Resources Information Center

Gupta, Ayush; Elby, Andrew

2011-01-01

Researchers have argued against deficit-based explanations of students' difficulties with mathematical sense-making, pointing instead to factors such as epistemology. Students' beliefs about knowledge and learning can hinder the activation and integration of productive knowledge they have. Such explanations, however, risk falling into a…

The Mathematical Analysis of Style: A Correlation-Based Approach.

ERIC Educational Resources Information Center

Oppenheim, Rosa

1988-01-01

Examines mathematical models of style analysis, focusing on the pattern in which literary characteristics occur. Describes an autoregressive integrated moving average model (ARIMA) for predicting sentence length in different works by the same author and comparable works by different authors. This technique is valuable in characterizing stylistic…

Pre-Service Teacher Training on Game-Enhanced Mathematics Teaching and Learning

ERIC Educational Resources Information Center

Meletiou-Mavrotheris, Maria; Prodromou, Theodosia

2016-01-01

The paper reports the main insights from a study aimed at equipping a group of pre-service teachers with the knowledge, skills, and practical experience required to effectively integrate educational games within the mathematics curriculum. An instructional intervention based on the Technological Pedagogical and Content Knowledge framework was…

Trajectories of Mathematics and Technology Education Pointing to Engineering Design

ERIC Educational Resources Information Center

Daugherty, Jenny L.; Reese, George C.; Merrill, Chris

2010-01-01

A brief examination and comparison of mathematics and technology education provides the background for a discussion of integration. In particular, members of each field have responded to the increasing pressures to better prepare students for the technologically rich, globally competitive future. Approaches based within each discipline are varied…

Online Resources in Mathematics, Teachers' Geneses and Didactical Techniques

ERIC Educational Resources Information Center

Bueno-Ravel, Laetitia; Gueudet, Ghislaine

2009-01-01

The study we present here concerns the consequences of integrating online resources into the teaching of mathematics. We focus on the interaction between teachers and specific online resources they draw on: e-exercise bases. We propose a theoretical approach to study the associated phenomena, combining instrumental and anthropological…

A global solution to the Schrödinger equation: From Henstock to Feynman

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

Nathanson, Ekaterina S., E-mail: enathanson@ggc.edu; Jørgensen, Palle E. T., E-mail: palle-jorgensen@uiowa.edu

2015-09-15

One of the key elements of Feynman’s formulation of non-relativistic quantum mechanics is a so-called Feynman path integral. It plays an important role in the theory, but it appears as a postulate based on intuition, rather than a well-defined object. All previous attempts to supply Feynman’s theory with rigorous mathematics underpinning, based on the physical requirements, have not been satisfactory. The difficulty comes from the need to define a measure on the infinite dimensional space of paths and to create an integral that would possess all of the properties requested by Feynman. In the present paper, we consider a newmore » approach to defining the Feynman path integral, based on the theory developed by Muldowney [A Modern Theory of Random Variable: With Applications in Stochastic Calcolus, Financial Mathematics, and Feynman Integration (John Wiley & Sons, Inc., New Jersey, 2012)]. Muldowney uses the Henstock integration technique and deals with non-absolute integrability of the Fresnel integrals, in order to obtain a representation of the Feynman path integral as a functional. This approach offers a mathematically rigorous definition supporting Feynman’s intuitive derivations. But in his work, Muldowney gives only local in space-time solutions. A physical solution to the non-relativistic Schrödinger equation must be global, and it must be given in the form of a unitary one-parameter group in L{sup 2}(ℝ{sup n}). The purpose of this paper is to show that a system of one-dimensional local Muldowney’s solutions may be extended to yield a global solution. Moreover, the global extension can be represented by a unitary one-parameter group acting in L{sup 2}(ℝ{sup n})« less

Learning to Assess and Assessing to Learn: A Descriptive Study of a District-Wide Mathematics Assessment Implementation

ERIC Educational Resources Information Center

Ringer, Catharina W.

2013-01-01

In today's mathematics education, there is an increasing emphasis on students' understanding of the mathematics set forth in standards documents such as the "Principles and Standards for School Mathematics" (National Council of Teachers of Mathematics, 2000) and, most recently, the "Common Core State Standards for Mathematics"…

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

Thompson, S.

This report describes the use of several subroutines from the CORLIB core mathematical subroutine library for the solution of a model fluid flow problem. The model consists of the Euler partial differential equations. The equations are spatially discretized using the method of pseudo-characteristics. The resulting system of ordinary differential equations is then integrated using the method of lines. The stiff ordinary differential equation solver LSODE (2) from CORLIB is used to perform the time integration. The non-stiff solver ODE (4) is used to perform a related integration. The linear equation solver subroutines DECOMP and SOLVE are used to solve linearmore » systems whose solutions are required in the calculation of the time derivatives. The monotone cubic spline interpolation subroutines PCHIM and PCHFE are used to approximate water properties. The report describes the use of each of these subroutines in detail. It illustrates the manner in which modules from a standard mathematical software library such as CORLIB can be used as building blocks in the solution of complex problems of practical interest. 9 refs., 2 figs., 4 tabs.« less

Practical Math Skills: Situations--Strategies--Solutions. Junior High Level. Grades 7-8-9.

ERIC Educational Resources Information Center

Duncan, Jim

This material is a supplement to existing mathematics programs for young learners. The activities presented are based on assumptions about the young problem solver which are difficult to address in standard mathematics texts. In these pages it is assumed that each learner brings to the problem-solving effort a very personal experience base and a…

The NASA "Why?" Files: The Case of the "Wright" Invention. A Lesson Guide with Activities in Mathematics, Science, and Technology.

ERIC Educational Resources Information Center

National Aeronautics and Space Administration, Hampton, VA. Langley Research Center.

This lesson guide for instruction of students in grades 3-5 contains activities in mathematics, science, and technology. The NASA "Why?" Files is a series of instructional programs consisting of broadcast, print, and online elements. Emphasizing standards-based instruction, Problem-Based Learning, and science as inquiry, the series seeks to…

The Integration of Science and Mathematics Education: Highlights from the NSF/SSMA Wingspread Conference Plenary Papers.

ERIC Educational Resources Information Center

Berlin, Donna F.

1994-01-01

Summarizes plenary papers presented at the NSF/SSMA Wingspread Conference to explore ways to improve science and mathematics education through integration. Themes included analysis of integration; divergence of mathematics education from science education; technological perspectives; promoting mathematical and scientific inquiry; and school…

Using General Education Student Data to Calibrate a Mathematics Alternate Assessment Based on Modified Academic Achievement Standards

ERIC Educational Resources Information Center

Jung, Eunju

2012-01-01

The U.S. Department of Education released regulations governing the development of alternate assessments for students with persistent learning problems who are eligible for Modified Academic Achievement Standards (MAAS) in 2007. To date, state regular assessments or alternate assessments based on Alternate Academic Achievement Standards have not…

Evaluating the Effectiveness of the 2003-2004 NASA CONNECT(trademark)Program

NASA Technical Reports Server (NTRS)

Caton, Randall H.; Pinelli, Thomas E.; Giersch, Christopher E.; Holmes, Ellen B.; Lambert, Matthew A.

2005-01-01

NASA CONNECT is an Emmy-award-winning series of instructional (distance learning) programs for grades 6-8. Produced by the NASA Center for Distance Learning, the nine programs in the 2003-2004 NASA CONNECT series are research-, inquiry-, standards-, teacher-, and technology-based and include a 30-minute program, an educator guide containing a hands-on activity, and a web-based component. The 1,500 randomly selected NASA CONNECT registered users were invited to complete an electronic (self-reported) survey that employed a 5-point Likert-type scale. Regarding NASA CONNECT, respondents reported that the programs (1) enhance the teaching of mathematics, science, and technology (4.53); (2) are aligned with the national mathematics, science, and technology standards (4.52); (3) raise student awareness of careers requiring mathematics, science, and technology (4.48); (4) demonstrate the application of mathematics, science, and technology (4.47); and (5) present women and minorities performing challenging engineering and science tasks (4.50).

Standards for Technological Literacy and STEM Education Delivery through Career and Technical Education Programs

ERIC Educational Resources Information Center

Asunda, Paul A.

2012-01-01

At a minimum, employers rely on career and technical education (CTE) and workforce training systems to supply workers able to perform in their jobs. In CTE classes that seek to integrate science, technology, engineering, and mathematics (STEM) concepts, it falls to the instructors to design and sequence the learning experiences that will promote…

Effect of Directed Study of Mathematics Vocabulary on Standardized Mathematics Assessment Questions

ERIC Educational Resources Information Center

Waite, Adel Marlane

2017-01-01

The problems under investigation included (a) Did a directed study of mathematics vocabulary significantly affect student performance levels on standardized mathematical questions? and (b) Did the strategies used in this study significantly affect student performance levels on standardized mathematical questions? The population consisted of…

Robust Combining of Disparate Classifiers Through Order Statistics

NASA Technical Reports Server (NTRS)

Tumer, Kagan; Ghosh, Joydeep

2001-01-01

Integrating the outputs of multiple classifiers via combiners or meta-learners has led to substantial improvements in several difficult pattern recognition problems. In this article we investigate a family of combiners based on order statistics, for robust handling of situations where there are large discrepancies in performance of individual classifiers. Based on a mathematical modeling of how the decision boundaries are affected by order statistic combiners, we derive expressions for the reductions in error expected when simple output combination methods based on the the median, the maximum and in general, the ith order statistic, are used. Furthermore, we analyze the trim and spread combiners, both based on linear combinations of the ordered classifier outputs, and show that in the presence of uneven classifier performance, they often provide substantial gains over both linear and simple order statistics combiners. Experimental results on both real world data and standard public domain data sets corroborate these findings.

Report from the NSF/SSMA Wingspread Conference: A Network for Integrated Science and Mathematics Teaching and Learning.

ERIC Educational Resources Information Center

Berlin, Donna F.; White, Arthur L.

1992-01-01

Reports the proceedings of the Wingspread conference on integrating science and mathematics teaching and learning. Discusses (1) a literature review on integration of science and mathematics education; (2) development of definitions of integration; (3) specification of guidelines for infusing integrated teaching and learning into science and…

Mathematics Intervention for Prevention of Neurocognitive Deficits in Childhood Leukemia

PubMed Central

Moore (Ki), Ida M.; Hockenberry, Marilyn J.; Anhalt, Cynthia; McCarthy, Kathy; Krull, Kevin R.

2011-01-01

Background Despite evidence that CNS treatment is associated with cognitive and academic impairment, interventions to prevent or mitigate these problems are limited. The purpose was to determine if early intervention can prevent declines in mathematics abilities. Procedures Fifty-seven children with ALL were enrolled and randomized to a Mathematics Intervention or Standard Care. Subjects completed neurocognitive assessments prior to the intervention, post intervention, and one year later. Parents received written results and recommendations for use with their school. The Mathematics Intervention was based on Multiple Representation Theory and delivered individually over one year. Results Thirty-two of 57 subjects completed the study and were included in data analyses. These 32 subjects completed all neurocognitive assessments and, for those in the intervention group, 40–50 hours of the mathematics intervention. There were no group differences on relevant demographic variables; risk stratification; number of intrathecal methotrexate injections or high dose systemic methotrexate. Significant improvements in calculation and applied mathematics from baseline to post-intervention (p = 0.003 and 0.002, respectively) and in visual working memory from baseline to one year follow-up (p = 0.02) were observed in the Intervention but not the Standard Care group. Results from repeated measures ANOVA demonstrated significant between group differences for applied mathematics (F[2, 29] 12.47, p<0.001) and visual working memory (F[2 29]= 5.53, p=0.009). Conclusions The Mathematics Intervention improved mathematics abilities and visual working memory compared to standard care. Future studies are needed to translate the Mathematics Intervention into a “virtual” delivery method more readily available to parents and children. PMID:21938763

Mathematics intervention for prevention of neurocognitive deficits in childhood leukemia.

PubMed

Moore, Ida M; Hockenberry, Marilyn J; Anhalt, Cynthia; McCarthy, Kathy; Krull, Kevin R

2012-08-01

Despite evidence that CNS treatment is associated with cognitive and academic impairment, interventions to prevent or mitigate these problems are limited. The purpose was to determine if early intervention can prevent declines in mathematics abilities. Fifty-seven children with ALL were enrolled and randomized to a Mathematics Intervention or Standard Care. Subjects completed neurocognitive assessments prior to the intervention, post-intervention, and 1 year later. Parents received written results and recommendations for use with their school. The Mathematics Intervention was based on Multiple Representation Theory and delivered individually over 1 year. Thirty-two of 57 subjects completed the study and were included in data analyses. These 32 subjects completed all neurocognitive assessments and, for those in the Intervention Group, 40-50 hours of the Mathematics Intervention. There were no group differences on relevant demographic variables; risk stratification; number of intrathecal methotrexate injections; or high dose systemic methotrexate. Significant improvements in calculation and applied mathematics from Baseline to Post-Intervention (P = 0.003 and 0.002, respectively) and in visual working memory from Baseline to 1 year Follow-up (P = 0.02) were observed in the Intervention but not the Standard Care Group. Results from repeated measures ANOVA demonstrated significant between group differences for applied mathematics [F(2,29) = 12.47, P < 0.001] and visual working memory [F(2,29) = 5.53, P = 0.009]. The Mathematics Intervention improved mathematics abilities and visual working memory compared to standard care. Future studies are needed to translate the Mathematics Intervention into a "virtual" delivery method more readily available to parents and children. Copyright © 2011 Wiley Periodicals, Inc.

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…

Mathematics and online learning experiences: a gateway site for engineering students

NASA Astrophysics Data System (ADS)

Masouros, Spyridon D.; Alpay, Esat

2010-03-01

This paper focuses on the preliminary design of a multifaceted computer-based mathematics resource for undergraduate and pre-entry engineering students. Online maths resources, while attractive in their flexibility of delivery, have seen variable interest from students and teachers alike. Through student surveys and wide consultations, guidelines have been developed for effectively collating and integrating learning, support, application and diagnostic tools to produce an Engineer's Mathematics Gateway. Specific recommendations include: the development of a shared database of engineering discipline-specific problems and examples; the identification of, and resource development for, troublesome mathematics topics which encompass ideas of threshold concepts and mastery components; the use of motivational and promotional material to raise student interest in learning mathematics in an engineering context; the use of general and lecture-specific concept maps and matrices to identify the needs and relevance of mathematics to engineering topics; and further exploration of the facilitation of peer-based learning through online resources.

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.

Neurocognitive Predictors of Academic Outcomes among Childhood Leukemia Survivors

PubMed Central

(Ki) Moore, Ida M.; Lupo, Philip J.; Insel, Kathleen; Harris, Lynnette L.; Pasvogel, Alice; Koerner, Kari M.; Adkins, Kristin B.; Taylor, Olga A.; Hockenberry, Marilyn J.

2015-01-01

Background Acute lymphoblastic leukemia (ALL) is the most common pediatric cancer and survival approaches 90%. ALL survivors are more likely than healthy peers or siblings to experience academic underachievement yet little is known about neurocognitive predictors of academic outcomes. Objective Objectives were to compare neurocognitive abilities to age-adjusted standardized norms; to examine change over time in neurocognitive abilities; and to establish neurocognitive predictors of academic outcomes. Methods Seventy-one children were followed over the course of therapy. Cognitive abilities were assessed during Induction when the child was in remission (Baseline) and annually for 3 years (Year 1, Year 2, Year 3). Reading and mathematics abilities were assessed at Year 3. Results Fine motor dexterity was significantly below age-adjusted norms at all data points, but showed improvement over time. Baseline visual-motor integration was within the normal range but significantly declined by Year 3, and mean scores at Years 2 and 3 were significantly below age-adjusted norms. Verbal short-term memory was significantly below age-adjusted norms at all assessments. Visual-motor integration predicted reading and mathematic abilities. Verbal short-term memory predicted reading abilities, and visual short-term memory predicted mathematic abilities. Conclusions CNS-directed therapy is associated with specific neurocognitive problems. Visual spatial skills, verbal and visual short term memory predict academic outcomes. Implications for practice Early assessment of visual spatial perception and short-term memory can identify children at risk for academic problems. Children who are at risk for academic problems could benefit from a school based Individual Educational Program and/or educational intervention. PMID:26166361

Integrating Mathematics and Science: Ecology and Venn Diagrams

ERIC Educational Resources Information Center

Leszczynski, Eliza; Munakata, Mika; Evans, Jessica M.; Pizzigoni, Francesca

2014-01-01

Efforts to integrate mathematics and science have been widely recognized by mathematics and science educators. However, successful integration of these two important school disciplines remains a challenge. In this article, a mathematics and science activity extends the use of Venn diagrams to a life science context and then circles back to a…

Theorizing the Nexus of STEAM Practice

ERIC Educational Resources Information Center

Peppler, Kylie; Wohlwend, Karen

2018-01-01

Recent advances in arts education policy, as outlined in the latest National Core Arts Standards, advocate for bringing digital media into the arts education classroom. The promise of such Science, Technology, Engineering, Arts, and Mathematics (STEAM)-based approaches is that, by coupling Science, Technology, Engineering, and Mathematics (STEM)…

Public Conceptions of Algorithms and Representations in the Common Core State Standards for Mathematics

ERIC Educational Resources Information Center

Nanna, Robert J.

2016-01-01

Algorithms and representations have been an important aspect of the work of mathematics, especially for understanding concepts and communicating ideas about concepts and mathematical relationships. They have played a key role in various mathematics standards documents, including the Common Core State Standards for Mathematics. However, there have…

An Exploratory Framework for Handling the Complexity of Mathematical Problem Posing in Small Groups

ERIC Educational Resources Information Center

Kontorovich, Igor; Koichu, Boris; Leikin, Roza; Berman, Avi

2012-01-01

The paper introduces an exploratory framework for handling the complexity of students' mathematical problem posing in small groups. The framework integrates four facets known from past research: task organization, students' knowledge base, problem-posing heuristics and schemes, and group dynamics and interactions. In addition, it contains a new…

Stirring the Pot: Supporting and Challenging General Education Science, Technology, Engineering, and Mathematics Faculty to Change Teaching and Assessment Practice

ERIC Educational Resources Information Center

Stieha, Vicki; Shadle, Susan E.; Paterson, Sharon

2016-01-01

Evidence-based instructional practices (ebips) have been associated with positive student outcomes; however, institutions struggle to catalyze widespread adoption of these practices in general education science, technology, engineering, and mathematics (stem) courses. Further, linking ebips with integrated learning assessment is rarely discussed…

Infusing Alcohol and Drug Prevention with Existing Classroom Study Units: Mathematics.

ERIC Educational Resources Information Center

Valencia Community Coll., Orlando, FL.

This curriculum module, one of seven in "Infusion Project", offers information and lessons on drug use prevention for integration into an existing seventh-grade middle school mathematics curriculum. The module, based on a type of interactive learning called infusion learning, contains eight lessons each providing objectives, a list of…

Enhancing Mathematical Communication for Virtual Math Teams

ERIC Educational Resources Information Center

Stahl, Gerry; Çakir, Murat Perit; Weimar, Stephen; Weusijana, Baba Kofi; Ou, Jimmy Xiantong

2010-01-01

The Math Forum is an online resource center for pre-algebra, algebra, geometry and pre-calculus. Its Virtual Math Teams (VMT) service provides an integrated web-based environment for small teams of people to discuss math and to work collaboratively on math problems or explore interesting mathematical micro-worlds together. The VMT Project studies…

Effects of Game-Based Learning in an Opensim-Supported Virtual Environment on Mathematical Performance

ERIC Educational Resources Information Center

Kim, Heesung; Ke, Fengfeng

2017-01-01

This experimental study was intended to examine whether the integration of game characteristics in the OpenSimulator-supported virtual reality (VR) learning environment can improve mathematical achievement for elementary school students. In this pre- and posttest experimental comparison study, data were collected from 132 fourth graders through an…

Listening Responsively

ERIC Educational Resources Information Center

Callahan, Kadian M.

2011-01-01

Standards documents, such as the Common Core State Standards for Mathematics and "Principles and Standards for School Mathematics", expect teachers to foster mathematics learning by engaging students in meaningful mathematical discourse to expose students to different ways of thinking about and solving problems and positively influence their…

Entrez Neuron RDFa: a pragmatic Semantic Web application for data integration in neuroscience research

PubMed Central

Samwald, Matthias; Lim, Ernest; Masiar, Peter; Marenco, Luis; Chen, Huajun; Morse, Thomas; Mutalik, Pradeep; Shepherd, Gordon; Miller, Perry; Cheung, Kei-Hoi

2013-01-01

The amount of biomedical data available in Semantic Web formats has been rapidly growing in recent years. While these formats are machine-friendly, user-friendly web interfaces allowing easy querying of these data are typically lacking. We present “Entrez Neuron”, a pilot neuron-centric interface that allows for keyword-based queries against a coherent repository of OWL ontologies. These ontologies describe neuronal structures, physiology, mathematical models and microscopy images. The returned query results are organized hierarchically according to brain architecture. Where possible, the application makes use of entities from the Open Biomedical Ontologies (OBO) and the ‘HCLS knowledgebase’ developed by the W3C Interest Group for Health Care and Life Science. It makes use of the emerging RDFa standard to embed ontology fragments and semantic annotations within its HTML-based user interface. The application and underlying ontologies demonstrates how Semantic Web technologies can be used for information integration within a curated information repository and between curated information repositories. It also demonstrates how information integration can be accomplished on the client side, through simple copying and pasting of portions of documents that contain RDFa markup. PMID:19745321

An interdisciplinary collaboration between computer engineering and mathematics/bilingual education to develop a curriculum for underrepresented middle school students

NASA Astrophysics Data System (ADS)

Celedón-Pattichis, Sylvia; LópezLeiva, Carlos Alfonso; Pattichis, Marios S.; Llamocca, Daniel

2013-12-01

There is a strong need in the United States to increase the number of students from underrepresented groups who pursue careers in Science, Technology, Engineering, and Mathematics. Drawing from sociocultural theory, we present approaches to establishing collaborations between computer engineering and mathematics/bilingual education faculty to address this need. We describe our work through the Advancing Out-of-School Learning in Mathematics and Engineering project by illustrating how an integrated curriculum that is based on mathematics with applications in image and video processing can be designed and how it can be implemented with middle school students from underrepresented groups.

Outcomes and process evaluation of a programme integrating physical activity into the primary school mathematics curriculum: The EASY Minds pilot randomised controlled trial.

PubMed

Riley, Nicholas; Lubans, David R; Morgan, Philip J; Young, Myles

2015-11-01

This study evaluated the feasibility of the 'Encouraging Activity to Stimulate Young (EASY) Minds' programme, a school-based intervention for integrating physical activity (PA) into mathematics lessons. Randomised controlled trial. Two classes from a single school (n = 54) were randomised to receive either the 6-week EASY Minds intervention (n = 27) or follow their usual school programme (n = 27). The intervention involved the embedding of PA across the pre-existing mathematics programme for 3 × 60 min sessions per week. Changes in PA were measured using accelerometers and 'on task' behaviour was measured using momentary time sampling observation. Using intention-to-treat analysis, significant intervention effects were found for MVPA (9.7%, 95%CI = 7.6, 11.8, p ≤ 0.001) and sedentary time (-22.4%, CI = -24.9, -12.2, p ≤ 0.001) for the intervention group during Mathematics lessons (9.30 am-10.30 am). Significant intervention effects were also shown for MVPA 8.7% (95% CI = 5.8, 11.6, p ≤ 0.001 and sedentary time -18.6% (95% CI = -24.9, -12.2, p ≤ 0.001) across the whole school day. Furthermore, children displayed significantly greater 'on-task' behaviour across the intervention period with a 19.9% (95%CI = 2.4, 37.4, p ≤ 0.03) mean difference between groups. The EASY Minds programme demonstrated that integrating movement across the primary mathematics syllabus is feasible and efficacious in enhancing school based-PA and improving on-task behaviour in mathematics lessons. Copyright © 2014 Sports Medicine Australia. Published by Elsevier Ltd. All rights reserved.

Promoting Mathematical Argumentation

ERIC Educational Resources Information Center

Rumsey, Chepina; Langrall, Cynthia W.

2016-01-01

The Standards for Mathematical Practice (SMP) in the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) highlight the mathematical habits that educators should be fostering in mathematics classrooms throughout K-grade 12 education. That argumentation and discourse are important components of developing mathematically proficient…

The Integration of Mathematics in Middle School Science: Student and Teacher Impacts Related to Science Achievement and Attitudes Towards Integration

NASA Astrophysics Data System (ADS)

McHugh, Luisa

Contemporary research has suggested that in order for students to compete globally in the 21st century workplace, pedagogy must shift to include the integration of science and mathematics, where teachers effectively incorporate the two disciplines seamlessly. Mathematics facilitates a deeper understanding of science concepts and has been linked to improved student perception of the integration of science and mathematics. Although there is adequate literature to substantiate students' positive responses to integration in terms of attitudes, there has been little empirical data to support significant academic improvement when both disciplines are taught in an integrated method. This research study, conducted at several school districts on Long Island and New York City, New York, examined teachers' attitudes toward integration and students' attitudes about, and achievement on assessments in, an integrated 8th grade science classroom compared to students in a non-integrated classroom. An examination of these parameters was conducted to analyze the impact of the sizeable investment of time and resources needed to teach an integrated curriculum effectively. These resources included substantial teacher training, planning time, collaboration with colleagues, and administration of student assessments. The findings suggest that students had positive outcomes associated with experiencing an integrated science and mathematics curriculum, though these were only weakly correlated with teacher confidence in implementing the integrated model successfully. The positive outcomes included the ability of students to understand scientific concepts within a concrete mathematical framework, improved confidence in applying mathematics to scientific ideas, and increased agreement with the usefulness of mathematics in interpreting science concepts. Implications of these research findings may be of benefit to educators and policymakers looking to adapt integrated curricula in order to improve the preparation of students to learn and achieve in a global society.

Reaching the Mountaintop: Addressing the Common Core Standards in Mathematics for Students with Mathematics Difficulties

ERIC Educational Resources Information Center

Powell, Sarah R.; Fuchs, Lynn S.; Fuchs, Doug

2013-01-01

The Common Core State Standards provide teachers with a framework of necessary mathematics skills across grades K-12, which vary considerably from previous mathematics standards. In this article, we discuss concerns about the implications of the Common Core for students with mathematics difficulties (MD), given that students with MD, by…

Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education. Studies in Mathematical Thinking and Learning Series

ERIC Educational Resources Information Center

Clements, Douglas H., Ed.; DiBiase, Ann-Marie, Ed.; Sarama, Julie, Ed.

2004-01-01

This book brings together the combined wisdom of a diverse group of experts involved with early childhood mathematics. The book originates from the landmark 2000 Conference on Standards for Pre-kindergarten and Kindergarten Mathematics Education, attended by representatives from almost every state developing standards for young children's…

Equity-Directed Instructional Practices: Beyond the Dominant Perspective

ERIC Educational Resources Information Center

Rubel, Laurie H.

2017-01-01

In this article, the author synthesizes four equity-directed instructional practices: standards-based mathematics instruction, complex instruction, culturally relevant pedagogy (CRP), and teaching mathematics for social justice (TMfSJ). The author organizes these practices according to the dominant and critical axes in Gutiérrez's (2007a) equity…

Math Interventions for Students with Autism Spectrum Disorder: A Best-Evidence Synthesis

ERIC Educational Resources Information Center

King, Seth A.; Lemons, Christopher J.; Davidson, Kimberly A.

2016-01-01

Educators need evidence-based practices to assist students with disabilities in meeting increasingly rigorous standards in mathematics. Students with autism spectrum disorder (ASD) are increasingly expected to demonstrate learning of basic and advanced mathematical concepts. This review identifies math intervention studies involving children and…

Five Keys for Teaching Mental Math

ERIC Educational Resources Information Center

Olsen, James R.

2015-01-01

After studying the Common Core State Standards for Mathematics (CCSSM) and brain-based learning research, James Olsen believes mental math instruction in secondary school mathematics (grades 7-12) and in teacher education programs needs increased attention. The purpose of this article is to share some keys for teaching mental math. Olsen also…

Negotiating Contexts to Construct an Identity as a Mathematics Teacher

ERIC Educational Resources Information Center

Hodges, Thomas E.; Cady, Jo Ann

2012-01-01

The authors focused on 1 middle-grades mathematics teacher's identity and her efforts to implement standards-based instructional practices. As professionals, teachers participate in multiple professional communities and must negotiate and manage conflicting agendas. The authors analyze how the contexts of these communities influence the teacher's…

77 FR 24938 - National Assessment Governing Board; Meeting

Federal Register 2010, 2011, 2012, 2013, 2014

2012-04-26

... to individuals with disabilities. DATES: May 17-19, 2012. Times May 17 Committee Meetings Assessment... Dissemination Committee (R&D): Open Session: 10 a.m.- 12:30 p.m. Committee on Standards, Design and Methodology... May 18 will be a briefing on the NAEP mathematics special studies: the Mathematics Computer-based...

A Well-Clear Volume Based on Time to Entry Point

NASA Technical Reports Server (NTRS)

Narkawicz, Anthony J.; Munoz, Cesar A.; Upchurch, Jason M.; Chamberlain, James P.; Consiglio, Maria C.

2014-01-01

A well-clear volume is a key component of NASA's Separation Assurance concept for the integration of UAS in the NAS. This paper proposes a mathematical definition of the well-clear volume that uses, in addition to distance thresholds, a time threshold based on time to entry point (TEP). The mathematical model that results from this definition is more conservative than other candidate definitions of the wellclear volume that are based on range over closure rate and time to closest point of approach.

K-12 Louisiana Student Standards for Mathematics. Louisiana Student Standards: Mathematics

ERIC Educational Resources Information Center

Louisiana Department of Education, 2016

2016-01-01

The Louisiana mathematics standards were created by over one hundred Louisiana educators with input by thousands of parents and teachers from across the state. Educators envisioned what mathematically proficient students should know and be able to do to compete in society and focused their efforts on creating standards that would allow them to do…

Standards-Based External Exams and Students' Science-Related Career Expectations: An International Perspective

ERIC Educational Resources Information Center

Han, Seong Won

2016-01-01

Students' science-related career expectations are important for predicting their future science, technology, engineering, and mathematics (STEM)-related educational and occupational attainments. This study examines the degree to which standards-based external examinations are associated with a student's propensity for pursuing science-related…

Oki-Doku: Number Puzzles

ERIC Educational Resources Information Center

Gomez, Cristina; Novak, Dani

2014-01-01

The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) emphasize the Standards for Mathematical Practice (SMP) that describe processes and proficiencies included in the NCTM Process Standards (NCTM 2000) and in the Strands for Mathematical Proficiency (NRC 2001). The development of these mathematical practices should happen in…

The Pythagorean Roots of Introductory Physics

NASA Astrophysics Data System (ADS)

Clarage, James B.

2013-03-01

Much of the mathematical reasoning employed in the typical introductory physics course can be traced to Pythagorean roots planted over two thousand years ago. Besides obvious examples involving the Pythagorean theorem, I draw attention to standard physics problems and derivations which often unknowingly rely upon the Pythagoreans' work on proportion, music, geometry, harmony, the golden ratio, and cosmology. Examples are drawn from mechanics, electricity, sound, optics, energy conservation and relativity. An awareness of the primary sources of the mathematical techniques employed in the physics classroom could especially benefit students and educators at schools which encourage integration of their various courses in history, science, philosophy, and the arts.

A Network for Integrated Science and Mathematics Teaching and Learning Conference Plenary Papers. NSF/SSMA Wingspread Conference (Racine, Wisconsin, April 1991). School Science and Mathematics Association Topics for Teachers Series Number 7.

ERIC Educational Resources Information Center

Berlin, Donna F., Ed.

The integration of mathematics and science is not a new concept. However, during recent years it has been a major focus in education reform. A Wingspread conference promoted discussion regarding the integration of mathematics and science and explored ways to improve science and mathematics education in grades K-12. Papers from the conference…

Using Arts Integration to Make Science Learning Memorable in the Upper Elementary Grades: A Quasi-Experimental Study

ERIC Educational Resources Information Center

Graham, Nicholas James; Brouillette, Liane

2016-01-01

The Next Generation Science Standards (NGSS) have brought a stronger emphasis on engineering into K-12 STEM (science, technology, engineering and mathematics) instruction. Introducing the design process used in engineering into science classrooms simulated a dialogue among some educators about adding the arts to the mix. This led to proposals for…

Integrating Mathematics across the Curriculum. NCTM-Aligned Activities.

ERIC Educational Resources Information Center

Martin, Hope

An effective curriculum gives students the opportunity to perceive relationships among different topics in mathematics, use mathematics in their everyday lives, and apply mathematical thinking and problem solving to other curriculum areas. This book contains fun and creative ways to integrate mathematics across the curriculum with a diversity of…

Graphing Calculator Exposure of Mathematics Learning in a Partially Technology Incorporated Environment

ERIC Educational Resources Information Center

Kharuddin, Azrul Fazwan; Ismail, Noor Azina

2017-01-01

Integrating technology in the mathematics curriculum has become a necessary task for curriculum developers as well as mathematics practitioners across the world and time. In general research studies seeking a better understanding of how best to integrate mathematics analysis tools with mathematics subject matter normally observe mathematics…

Authentic Integration: A Model for Integrating Mathematics and Science in the Classroom

ERIC Educational Resources Information Center

Treacy, Páraic; O'Donoghue, John

2014-01-01

Attempts at integrating mathematics and science have been made previously but no definitive, widely adopted teaching model has been developed to date. Research suggests that hands-on, practical, student-centred tasks should form a central element when designing an effective model for the integration of mathematics and science. Aided by this…

Project Based-Content Language Integrated Learning (CLIL) at Mathematics Department Universitas Lampung

ERIC Educational Resources Information Center

Yufrizal, Hery; Huzairin; Hasan, Basturi

2017-01-01

This article aims at exploring whether project based content language integrated learning (CLIL) has a significant effect on the oral capability of students of science department of the University of Lampung. The number of students involved in this study was 88 students. Quantitative data was obtained from the value of students' English…

U.S. Middle School Mathematics Teachers' Perceptions of the Standards for Mathematical Practice by Textbook Type

ERIC Educational Resources Information Center

Davis, Jon D.; Choppin, Jeffrey; Drake, Corey; Roth McDuffie, Amy; Carson, Cynthia

2018-01-01

An important component of the Common Core State Standards for Mathematics (CCSSM), used by the majority of states in the U.S., has the eight standards for mathematical practice (SMPs). While surveys have investigated teachers' perceptions of the CCSSM few have investigated middle school mathematics teachers' (MSMTs') (grades 6-8) perceptions of…

Managing a Standards-Based Classroom

ERIC Educational Resources Information Center

Edwards, Susan

2011-01-01

Many preservice teachers are introduced to NCTM's "Principles and Standards for School Mathematics" (2000) and practices that support those Standards as part of their teacher education programs. They often appear to accept the underlying principles, and many intend to implement this type of instruction in their own classrooms. Unfortunately, as…

Threading Mathematics through Symbols, Sketches, Software, Silicon, and Wood: Teachers Produce and Maintain Cohesion to Support STEM Integration

ERIC Educational Resources Information Center

Nathan, Mitchell J.; Wolfgram, Matthew; Srisurichan, Rachaya; Walkington, Candace; Alibali, Martha W.

2017-01-01

This classroom-based investigation sought to document how, in real time, STEM teachers and students attempt to locate the invariant mathematical relations that are threaded through the range of activities and representations in these classes, and how highlighting this common thread influences student participation and learning. The authors…

Triangles with Integer Side Lengths and Rational Internal Radius P and External Radius R

ERIC Educational Resources Information Center

Zelator, Konstantine

2005-01-01

This paper is written on a level accessible to college/university students of mathematics who are taking second-year, algebra based, mathematics courses beyond calculus I. This article combines material from geometry, trigonometry, and number theory. This integration of various techniques is an excellent experience for the serious student. The…

Integration of Bioinformatics into an Undergraduate Biology Curriculum and the Impact on Development of Mathematical Skills

ERIC Educational Resources Information Center

Wightman, Bruce; Hark, Amy T.

2012-01-01

The development of fields such as bioinformatics and genomics has created new challenges and opportunities for undergraduate biology curricula. Students preparing for careers in science, technology, and medicine need more intensive study of bioinformatics and more sophisticated training in the mathematics on which this field is based. In this…

The Tacit-Explicit Dimension of the Learning of Mathematics: An Investigation Report

ERIC Educational Resources Information Center

Frade, Cristina; Borges, Oto

2006-01-01

This paper reports on study that investigated the tacit-explicit dimension of the learning of mathematics. The study was carried out in a secondary school and consisted of an episode analysis related to a class discussion about the difference between plane figures and spatial figures. The data analysis was based on integration between some aspects…

Building "Consciousness and Legacies": Integrating Community, Critical, and Classical Knowledge Bases in a Precalculus Class

ERIC Educational Resources Information Center

Gutierrez, Rodrigo Jorge

2013-01-01

Grounded in Freire's (1970) notion that the purpose of education in an unjust society is to bring about equality and justice, Critical Mathematics (CM) scholars consider mathematics to be a tool to understand, critique, and change the world by deconstructing power structures that marginalize certain groups. In particular, Gutstein's (2006)…

Web-Delivered Supplemental Instruction: Dynamic Customizing of Search Algorithms to Enhance Independent Learning for Developmental Mathematics Students

ERIC Educational Resources Information Center

Taksa, Isak; Goldberg, Robert

2004-01-01

Traditional peer-to-peer Supplemental Instruction (SI) was introduced into higher education over a quarter of a century ago and promptly became an integral part of the developmental mathematics curricula in many senior and community colleges. Later, some colleges introduced Video-based Supplemental Instruction (VSI) and, in recent years,…

Instruments for Assessment of Instructional Practices in Standards-Based Teaching

NASA Astrophysics Data System (ADS)

Wainwright, Camille L.

2006-12-01

This paper describes the development of two forms of an instrument used as a classroom observation protocol, designed to document the impact of reform-based professional development with undergraduate mathematics and science faculty and its impact on the resultant preparation of teachers (PreK 12). A rationale for the development and utilization of this instrument (known as the OTOP, or the Oregon Teacher Observation Protocol) is provided. Constructed upon review of the research on teaching and standards documents in mathematics and science, the protocol formed the basis for data collection in a three-year longitudinal study of teaching practice among early career teachers as well as undergraduate college faculty. In addition, this paper suggests further applications of the observation protocol beyond the original research study purpose. One prominent use for the protocol is in supervisor observations of mathematics and science student teachers.

Kansas Extended Curricular Standards for Mathematics.

ERIC Educational Resources Information Center

Kansas State Board of Education, Topeka.

This document is an extension of the Kansas Curricular Standards for Mathematics. These standards, benchmarks, and examples are intended to be used in developing curricular materials for students who are eligible for the alternative assessment. One difference in the extended mathematics standards from the general education standards is that grade…

Exploring Human Growth: Using a Calculator to Integrate Mathematics and Science.

ERIC Educational Resources Information Center

Wandersee, James H.

1992-01-01

Presents integrated activities for mathematics and biology appropriate for various levels from grades five through eight. Explores interesting aspects of human fingernails and hair growth and their mathematical relationship to time. Provides suggestions to integrate the activities with technology. (MDH)

Bridging the divide: a model-data approach to Polar and Alpine microbiology.

PubMed

Bradley, James A; Anesio, Alexandre M; Arndt, Sandra

2016-03-01

Advances in microbial ecology in the cryosphere continue to be driven by empirical approaches including field sampling and laboratory-based analyses. Although mathematical models are commonly used to investigate the physical dynamics of Polar and Alpine regions, they are rarely applied in microbial studies. Yet integrating modelling approaches with ongoing observational and laboratory-based work is ideally suited to Polar and Alpine microbial ecosystems given their harsh environmental and biogeochemical characteristics, simple trophic structures, distinct seasonality, often difficult accessibility, geographical expansiveness and susceptibility to accelerated climate changes. In this opinion paper, we explain how mathematical modelling ideally complements field and laboratory-based analyses. We thus argue that mathematical modelling is a powerful tool for the investigation of these extreme environments and that fully integrated, interdisciplinary model-data approaches could help the Polar and Alpine microbiology community address some of the great research challenges of the 21st century (e.g. assessing global significance and response to climate change). However, a better integration of field and laboratory work with model design and calibration/validation, as well as a stronger focus on quantitative information is required to advance models that can be used to make predictions and upscale processes and fluxes beyond what can be captured by observations alone. © FEMS 2016.

Bridging the divide: a model-data approach to Polar and Alpine microbiology

PubMed Central

Bradley, James A.; Anesio, Alexandre M.; Arndt, Sandra

2016-01-01

Advances in microbial ecology in the cryosphere continue to be driven by empirical approaches including field sampling and laboratory-based analyses. Although mathematical models are commonly used to investigate the physical dynamics of Polar and Alpine regions, they are rarely applied in microbial studies. Yet integrating modelling approaches with ongoing observational and laboratory-based work is ideally suited to Polar and Alpine microbial ecosystems given their harsh environmental and biogeochemical characteristics, simple trophic structures, distinct seasonality, often difficult accessibility, geographical expansiveness and susceptibility to accelerated climate changes. In this opinion paper, we explain how mathematical modelling ideally complements field and laboratory-based analyses. We thus argue that mathematical modelling is a powerful tool for the investigation of these extreme environments and that fully integrated, interdisciplinary model-data approaches could help the Polar and Alpine microbiology community address some of the great research challenges of the 21st century (e.g. assessing global significance and response to climate change). However, a better integration of field and laboratory work with model design and calibration/validation, as well as a stronger focus on quantitative information is required to advance models that can be used to make predictions and upscale processes and fluxes beyond what can be captured by observations alone. PMID:26832206

Fermilab Today

Science.gov Websites

standard for special mathematical functions A new standard for mathematical special functions in C++ has the standard are frequently used in applications of high-energy physics and other mathematical

Utah's New Mathematics Core

ERIC Educational Resources Information Center

Utah State Office of Education, 2011

2011-01-01

Utah has adopted more rigorous mathematics standards known as the Utah Mathematics Core Standards. They are the foundation of the mathematics curriculum for the State of Utah. The standards include the skills and understanding students need to succeed in college and careers. They include rigorous content and application of knowledge and reflect…

Second-Graders' Mathematical Practices for Solving Fraction Tasks

ERIC Educational Resources Information Center

Moyer-Packenham, Patricia S.; Bolyard, Johnna J.; Tucker, Stephen I.

2014-01-01

Recently, over 40 states in the United States adopted the Common Core State Standards for Mathematics (CCSSM) which include standards for content and eight standards for mathematical practices. The purpose of this study was to better understand the nature of young children's mathematical practices through an exploratory examination of the…

The 6th International Conference on Computer Science and Computational Mathematics (ICCSCM 2017)

NASA Astrophysics Data System (ADS)

2017-09-01

The ICCSCM 2017 (The 6th International Conference on Computer Science and Computational Mathematics) has aimed to provide a platform to discuss computer science and mathematics related issues including Algebraic Geometry, Algebraic Topology, Approximation Theory, Calculus of Variations, Category Theory; Homological Algebra, Coding Theory, Combinatorics, Control Theory, Cryptology, Geometry, Difference and Functional Equations, Discrete Mathematics, Dynamical Systems and Ergodic Theory, Field Theory and Polynomials, Fluid Mechanics and Solid Mechanics, Fourier Analysis, Functional Analysis, Functions of a Complex Variable, Fuzzy Mathematics, Game Theory, General Algebraic Systems, Graph Theory, Group Theory and Generalizations, Image Processing, Signal Processing and Tomography, Information Fusion, Integral Equations, Lattices, Algebraic Structures, Linear and Multilinear Algebra; Matrix Theory, Mathematical Biology and Other Natural Sciences, Mathematical Economics and Financial Mathematics, Mathematical Physics, Measure Theory and Integration, Neutrosophic Mathematics, Number Theory, Numerical Analysis, Operations Research, Optimization, Operator Theory, Ordinary and Partial Differential Equations, Potential Theory, Real Functions, Rings and Algebras, Statistical Mechanics, Structure Of Matter, Topological Groups, Wavelets and Wavelet Transforms, 3G/4G Network Evolutions, Ad-Hoc, Mobile, Wireless Networks and Mobile Computing, Agent Computing & Multi-Agents Systems, All topics related Image/Signal Processing, Any topics related Computer Networks, Any topics related ISO SC-27 and SC- 17 standards, Any topics related PKI(Public Key Intrastructures), Artifial Intelligences(A.I.) & Pattern/Image Recognitions, Authentication/Authorization Issues, Biometric authentication and algorithms, CDMA/GSM Communication Protocols, Combinatorics, Graph Theory, and Analysis of Algorithms, Cryptography and Foundation of Computer Security, Data Base(D.B.) Management & Information Retrievals, Data Mining, Web Image Mining, & Applications, Defining Spectrum Rights and Open Spectrum Solutions, E-Comerce, Ubiquitous, RFID, Applications, Fingerprint/Hand/Biometrics Recognitions and Technologies, Foundations of High-performance Computing, IC-card Security, OTP, and Key Management Issues, IDS/Firewall, Anti-Spam mail, Anti-virus issues, Mobile Computing for E-Commerce, Network Security Applications, Neural Networks and Biomedical Simulations, Quality of Services and Communication Protocols, Quantum Computing, Coding, and Error Controls, Satellite and Optical Communication Systems, Theory of Parallel Processing and Distributed Computing, Virtual Visions, 3-D Object Retrievals, & Virtual Simulations, Wireless Access Security, etc. The success of ICCSCM 2017 is reflected in the received papers from authors around the world from several countries which allows a highly multinational and multicultural idea and experience exchange. The accepted papers of ICCSCM 2017 are published in this Book. Please check http://www.iccscm.com for further news. A conference such as ICCSCM 2017 can only become successful using a team effort, so herewith we want to thank the International Technical Committee and the Reviewers for their efforts in the review process as well as their valuable advices. We are thankful to all those who contributed to the success of ICCSCM 2017. The Secretary

Elementary Teachers Integrate Music Activities into Regular Mathematics Lessons: Effects on Students' Mathematical Abilities

ERIC Educational Resources Information Center

An, Song; Capraro, Mary Margaret; Tillman, Daniel A.

2013-01-01

This article presents exploratory research investigating the way teachers integrate music into their regular mathematics lessons as well as the effects of music-mathematics interdisciplinary lessons on elementary school students' mathematical abilities of modeling, strategy and application. Two teachers and two classes of first grade and third…

History of Modern Applied Mathematics in Mathematics Education

ERIC Educational Resources Information Center

Jankvist, Uffe Thomas

2009-01-01

This article discusses the integration of history of modern applied mathematics in mathematics education as well as the possible teaching and learning benefits of introducing a newer history of mathematics over an old(er) one--something that seems to be done most often when integrating history. Three cases of the history of modern applied…

Using Writing To Teach Mathematics. MAA Notes, Number 16.

ERIC Educational Resources Information Center

Sterrett, Andrew, Ed.

Integrating mathematics with other disciplines is an important issue for mathematics education. Writing is one such discipline that can be usefully integrated with mathematics instruction. This collection of essays on the use of writing to teach mathematics is an outgrowth of sessions of contributed papers presented at the 1988 and 1989 Annual…

An instructional package integrating science and social studies instruction at the fifth-grade level

NASA Astrophysics Data System (ADS)

Hulley, Kathy Louise Sullivan

Integrative education is being implemented by classroom teachers who want to immerse students in an environment rich in problem-solving skills, critical analysis skills, ethics, valuing of knowledge, and communication of learning. Several subject areas in the curriculum have been integrated, such as literature with social studies and mathematics with science. The focus of this dissertation is on the integration of science and social studies at the fifth grade level using the Mississippi State Department of Education Curriculum Guidelines and Objectives (MSDE, 1995) and the National Science Education Standards (National Research Council (NRC), 1996). An instructional package of lesson plans that teachers can use as ideas to create their own plans for an integrated curriculum of science and social studies was devised. The Mississippi State Department of Education Curriculum Guidelines and Objectives for Social Studies (MSDE, 1995) at the fifth grade level contain fifteen competencies. Three standards from the National Science Education Standards (NRC, 1996) were chosen. They include (a) science and technology, (b) science in personal and social perspectives, and (c) the history and nature of science. Each competency for social studies has three lesson plans written that integrate the three chosen standards from the National Science Education Standards. A total of forty-five lesson plans were written integrating science and social studies. Each lesson plan includes an objective, materials, procedures, and evaluation for teachers. Teachers are encouraged to use the lesson plans as a guide in creating their own lesson plans that would correspond to their school's particular curriculum guidelines. Consideration should be given to the learning levels and styles of their classroom. This qualitative study was done to create lesson plans that integrate science and social studies with the hope that teachers will expand upon them and implement them into their curricula.

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

ERIC Educational Resources Information Center

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

2016-01-01

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

Using Covariation Reasoning to Support Mathematical Modeling

ERIC Educational Resources Information Center

Jacobson, Erik

2014-01-01

For many students, making connections between mathematical ideas and the real world is one of the most intriguing and rewarding aspects of the study of mathematics. In the Common Core State Standards for Mathematics (CCSSI 2010), mathematical modeling is highlighted as a mathematical practice standard for all grades. To engage in mathematical…

Slope across the Curriculum: Principles and Standards for School Mathematics and Common Core State Standards

ERIC Educational Resources Information Center

Nagle, Courtney; Moore-Russo, Deborah

2014-01-01

This article provides an initial comparison of the Principles and Standards for School Mathematics and the Common Core State Standards for Mathematics by examining the fundamental notion of slope. Each set of standards is analyzed using eleven previously identified conceptualizations of slope. Both sets of standards emphasize Functional Property,…

Analytical derivation: An epistemic game for solving mathematically based physics problems

NASA Astrophysics Data System (ADS)

Bajracharya, Rabindra R.; Thompson, John R.

2016-06-01

Problem solving, which often involves multiple steps, is an integral part of physics learning and teaching. Using the perspective of the epistemic game, we documented a specific game that is commonly pursued by students while solving mathematically based physics problems: the analytical derivation game. This game involves deriving an equation through symbolic manipulations and routine mathematical operations, usually without any physical interpretation of the processes. This game often creates cognitive obstacles in students, preventing them from using alternative resources or better approaches during problem solving. We conducted hour-long, semi-structured, individual interviews with fourteen introductory physics students. Students were asked to solve four "pseudophysics" problems containing algebraic and graphical representations. The problems required the application of the fundamental theorem of calculus (FTC), which is one of the most frequently used mathematical concepts in physics problem solving. We show that the analytical derivation game is necessary, but not sufficient, to solve mathematically based physics problems, specifically those involving graphical representations.

Mathematics and Science Learning Opportunities in Preschool Classrooms

PubMed Central

Piasta, Shayne B.; Pelatti, Christina Yeager; Miller, Heather Lynnine

2014-01-01

Research findings The present study observed and coded instruction in 65 preschool classrooms to examine (a) overall amounts and (b) types of mathematics and science learning opportunities experienced by preschool children as well as (c) the extent to which these opportunities were associated with classroom and program characteristics. Results indicated that children were afforded an average of 24 and 26 minutes of mathematics and science learning opportunities, respectively, corresponding to spending approximately 25% of total instructional time in each domain. Considerable variability existed, however, in the amounts and types of mathematics and science opportunities provided to children in their classrooms; to some extent, this variability was associated with teachers’ years of experience, teachers’ levels of education, and the socioeconomic status of children served in the program. Practice/policy Although results suggest greater integration of mathematics and science in preschool classrooms than previously established, there was considerable diversity in the amounts and types of learning opportunities provided in preschool classrooms. Affording mathematics and science experiences to all preschool children, as outlined in professional and state standards, may require additional professional development aimed at increasing preschool teachers’ understanding and implementation of learning opportunities in these two domains in their classrooms. PMID:25489205

Low- and High-Achieving Sixth-Grade Students' Access to Participation during Mathematics Discourse

ERIC Educational Resources Information Center

Lack, Brian; Swars, Susan Lee; Meyers, Barbara

2014-01-01

A descriptive, holistic, multiple-case methodology was applied to examine the nature of participation in discourse of two low- and two high-achieving grade 6 students while solving mathematical tasks in a standards-based classroom. Data collected via classroom observations and student interviews were analyzed through a multiple-cycle coding…

Effects of Vigorous Intensity Physical Activity on Mathematics Test Performance

ERIC Educational Resources Information Center

Phillips, David S.; Hannon, James C.; Castelli, Darla M.

2015-01-01

The effect of an acute bout of physical activity on academic performance in school-based settings is under researched. The purpose of this study was to examine associations between a single, vigorous (70-85%) bout of physical activity completed during physical education on standardized mathematics test performance among 72, eighth grade students…

Developing an Assessment Instrument to Measure Early Elementary Teachers' Mathematical Knowledge for Teaching

ERIC Educational Resources Information Center

Schoen, Robert C.; Bray, Wendy; Wolfe, Christopher; Tazaz, Amanda M.; Nielsen, Lynne

2017-01-01

This study reports on the development and field study of K-TEEM, a web-based assessment instrument designed to measure mathematical knowledge for teaching (MKT) at the early elementary level. The development process involved alignment with early elementary curriculum standards, expert review of items and scoring criteria, cognitive interviews with…

Saxon Math. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2010

2010-01-01

"Saxon Math" is a textbook series covering grades K-12 based on incremental development and continual review of mathematical concepts to give students time to learn and practice concepts throughout the year. The series is aligned with standards of the National Council of Teachers of Mathematics (NCTM) and various states, and can be…

Urban Middle-Grade Student Mathematics Achievement Growth under Comprehensive School Reform

ERIC Educational Resources Information Center

Mac Iver, Martha Abele; Mac Iver, Douglas J.

2009-01-01

Recognizing the need to implement standards-based instructional materials with school-wide coherence led some Philadelphia schools to adopt whole-school reform (WSR) models during the late 1990s. The authors report on the relation between mathematics achievement growth for middle-grade students on the Pennsylvania System of School Assessments and…

An Examination of the Implementation of Mathematics Lessons in a Chinese Kindergarten Classroom in the Setting of Standards Reform

ERIC Educational Resources Information Center

Hu, Bi Ying; Quebec Fuentes, Sarah; Ma, Jingjing; Ye, Feiwei; Roberts, Sherron Killingsworth

2017-01-01

In China, the "2001 Kindergarten Education Guidelines (Trial)", or "New Outline", delineates what constitutes high-quality, developmentally appropriate practices in all early childhood education curriculum domains, including mathematics. The "New Outline" is known for advocating a child-centered, play-based approach…

A Case Study of the Implementation of Chinese Kindergarten Mathematics Curriculum

ERIC Educational Resources Information Center

Hu, Bi Ying; Fuentes, Sarah Quebec; Wang, Chun Yan; Ye, Feiwei

2014-01-01

In 2001, the Chinese Ministry of Education issued Guidelines for Preschool Education (GPE) (trial version) to call on early childhood practitioners to use a child-centered and play-based approach to teaching and learning. The guidelines also include mathematics within the science domain and described its standards in a way that significantly…

Examining Parents' Experiences in a Standards-Based Mathematics Classroom

ERIC Educational Resources Information Center

Blume, Deborah

2012-01-01

Recent efforts to reform mathematics education in the United States have caused confusion for those at home. Parents and caregivers who learned math through traditional approaches are unsure how to help their children with math taught in unfamiliar ways (Peressini, 1998; Remillard & Jackson, 2006). Many educational researchers believe that, in…

From Peasant to Princess: A Standards Conversion Story with a Twist

ERIC Educational Resources Information Center

Grover, Jeanette M.; Monroe, Eula Ewing; Jacobs, James S.

2007-01-01

The first author, a student in a graduate children's literature class, designed a project to locate "good" mathematics-based children's literature selections. However, the reference tools usually consulted (e.g., "Books in Print") to locate books by topic were of little help, and those she located under individual mathematics topics were mostly…

Virginia's College and Career Readiness Initiative

ERIC Educational Resources Information Center

Virginia Department of Education, 2010

2010-01-01

In 1995, Virginia began a broad educational reform program that resulted in revised, rigorous content standards, the Virginia Standards of Learning (SOL), in the content areas of English, mathematics, science, and history and social science. These grade-by-grade and course-based standards were developed over 14 months with revision teams including…

Mathematical foundations of the GraphBLAS

DOE PAGES

Kepner, Jeremy; Aaltonen, Peter; Bader, David; ...

2016-12-01

The GraphBLAS standard (GraphBlas.org) is being developed to bring the potential of matrix-based graph algorithms to the broadest possible audience. Mathematically, the GraphBLAS defines a core set of matrix-based graph operations that can be used to implement a wide class of graph algorithms in a wide range of programming environments. This study provides an introduction to the mathematics of the GraphBLAS. Graphs represent connections between vertices with edges. Matrices can represent a wide range of graphs using adjacency matrices or incidence matrices. Adjacency matrices are often easier to analyze while incidence matrices are often better for representing data. Fortunately, themore » two are easily connected by matrix multiplication. A key feature of matrix mathematics is that a very small number of matrix operations can be used to manipulate a very wide range of graphs. This composability of a small number of operations is the foundation of the GraphBLAS. A standard such as the GraphBLAS can only be effective if it has low performance overhead. Finally, performance measurements of prototype GraphBLAS implementations indicate that the overhead is low.« less

Neurocognitive mechanisms of mathematical giftedness: A literature review.

PubMed

Zhang, Li; Gan, John Q; Wang, Haixian

2017-01-01

Mathematically gifted children/adolescents have demonstrated exceptional abilities and traits in logical reasoning, mental imagery, and creative thinking. In the field of cognitive neuroscience, the past studies on mathematically gifted brains have concentrated on investigating event-related brain activation regions, cerebral laterality of cognitive functions, functional specialization that is uniquely dedicated for specific cognitive purposes, and functional interactions among discrete brain regions. From structural and functional perspectives, these studies have witnessed both "general" and "unique" neural characteristics of mathematically gifted brains. In this article, the theoretical background, empirical studies, and neurocognitive mechanisms of mathematically gifted children/adolescents are reviewed. Based on the integration of the findings, some potential directions for the future research are identified and discussed.

Teaching mathematical word problem solving: the quality of evidence for strategy instruction priming the problem structure.

PubMed

Jitendra, Asha K; Petersen-Brown, Shawna; Lein, Amy E; Zaslofsky, Anne F; Kunkel, Amy K; Jung, Pyung-Gang; Egan, Andrea M

2015-01-01

This study examined the quality of the research base related to strategy instruction priming the underlying mathematical problem structure for students with learning disabilities and those at risk for mathematics difficulties. We evaluated the quality of methodological rigor of 18 group research studies using the criteria proposed by Gersten et al. and 10 single case design (SCD) research studies using criteria suggested by Horner et al. and the What Works Clearinghouse. Results indicated that 14 group design studies met the criteria for high-quality or acceptable research, whereas SCD studies did not meet the standards for an evidence-based practice. Based on these findings, strategy instruction priming the mathematics problem structure is considered an evidence-based practice using only group design methodological criteria. Implications for future research and for practice are discussed. © Hammill Institute on Disabilities 2013.

Integrating Mathematics and Composition Instruction.

ERIC Educational Resources Information Center

Kirtland, Joseph; Hoh, Pau-San

2002-01-01

Describes the development of an integrated approach for teaching mathematics and writing to freshmen. The goals are to strengthen mathematical skills, develop writing competencies, and foster interdisciplinary awareness. (Author/MM)

High School Mathematics: State-Level Curriculum Standards and Graduation Requirements

ERIC Educational Resources Information Center

Reys, Barbara J.; Dingman, Shannon; Nevels, Nevels; Teuscher, Dawn

2007-01-01

In a continuing effort to improve student-learning opportunities in mathematics, state departments of education have focused on articulating standards or learning goals at all levels, including high school mathematics. A review of K-8 mathematics curriculum standards (many of which have been published since 2002) compiled by staff from the Center…

Mission Mathematics: Linking Aerospace and the NCTM Standards, K-6.

ERIC Educational Resources Information Center

Hynes, Mary Ellen, Ed.

This book is designed to present mathematical problems and tasks that focus on the National Council of Teachers of Mathematics (NCTM) curriculum and evaluation standards in the context of aerospace activities. It aims at actively engaging students in NCTM's four process standards: (1) problem solving; (2) mathematical reasoning; (3) communicating…

Stabilized FE simulation of prototype thermal-hydraulics problems with integrated adjoint-based capabilities

NASA Astrophysics Data System (ADS)

Shadid, J. N.; Smith, T. M.; Cyr, E. C.; Wildey, T. M.; Pawlowski, R. P.

2016-09-01

A critical aspect of applying modern computational solution methods to complex multiphysics systems of relevance to nuclear reactor modeling, is the assessment of the predictive capability of specific proposed mathematical models. In this respect the understanding of numerical error, the sensitivity of the solution to parameters associated with input data, boundary condition uncertainty, and mathematical models is critical. Additionally, the ability to evaluate and or approximate the model efficiently, to allow development of a reasonable level of statistical diagnostics of the mathematical model and the physical system, is of central importance. In this study we report on initial efforts to apply integrated adjoint-based computational analysis and automatic differentiation tools to begin to address these issues. The study is carried out in the context of a Reynolds averaged Navier-Stokes approximation to turbulent fluid flow and heat transfer using a particular spatial discretization based on implicit fully-coupled stabilized FE methods. Initial results are presented that show the promise of these computational techniques in the context of nuclear reactor relevant prototype thermal-hydraulics problems.

Stabilized FE simulation of prototype thermal-hydraulics problems with integrated adjoint-based capabilities

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

Shadid, J.N., E-mail: jnshadi@sandia.gov; Department of Mathematics and Statistics, University of New Mexico; Smith, T.M.

A critical aspect of applying modern computational solution methods to complex multiphysics systems of relevance to nuclear reactor modeling, is the assessment of the predictive capability of specific proposed mathematical models. In this respect the understanding of numerical error, the sensitivity of the solution to parameters associated with input data, boundary condition uncertainty, and mathematical models is critical. Additionally, the ability to evaluate and or approximate the model efficiently, to allow development of a reasonable level of statistical diagnostics of the mathematical model and the physical system, is of central importance. In this study we report on initial efforts tomore » apply integrated adjoint-based computational analysis and automatic differentiation tools to begin to address these issues. The study is carried out in the context of a Reynolds averaged Navier–Stokes approximation to turbulent fluid flow and heat transfer using a particular spatial discretization based on implicit fully-coupled stabilized FE methods. Initial results are presented that show the promise of these computational techniques in the context of nuclear reactor relevant prototype thermal-hydraulics problems.« less

Reaching All Students with Mathematics.

ERIC Educational Resources Information Center

Cuevas, Gilbert, Ed.; Driscoll, Mark, Ed.

The National Council of Teachers of Mathematics'"Curriculum and Evaluation Standards for School Mathematics" and "Professional Standards for Teaching Mathematics" reflect the belief that all students can learn a significant core of high-quality mathematics. Recognizing the magnitude of the task of reaching all students, this…

The Impact of Design-Based STEM Integration Curricula on Student Achievement in Engineering, Science, and Mathematics

NASA Astrophysics Data System (ADS)

Selcen Guzey, S.; Harwell, Michael; Moreno, Mario; Peralta, Yadira; Moore, Tamara J.

2017-04-01

The new science education reform documents call for integration of engineering into K-12 science classes. Engineering design and practices are new to most science teachers, meaning that implementing effective engineering instruction is likely to be challenging. This quasi-experimental study explored the influence of teacher-developed, engineering design-based science curriculum units on learning and achievement among grade 4-8 students of different races, gender, special education status, and limited English proficiency (LEP) status. Treatment and control students ( n = 4450) completed pretest and posttest assessments in science, engineering, and mathematics as well as a state-mandated mathematics test. Single-level regression results for science outcomes favored the treatment for one science assessment (physical science, heat transfer), but multilevel analyses showed no significant treatment effect. We also found that engineering integration had different effects across race and gender and that teacher gender can reduce or exacerbate the gap in engineering achievement for student subgroups depending on the outcome. Other teacher factors such as the quality of engineering-focused science units and engineering instruction were predictive of student achievement in engineering. Implications for practice are discussed.

Summative and Formative Assessments in Mathematics Supporting the Goals of the Common Core Standards

ERIC Educational Resources Information Center

Schoenfeld, Alan H.

2015-01-01

Being proficient in mathematics involves having rich and connected mathematical knowledge, being a strategic and reflective thinker and problem solver, and having productive mathematical beliefs and dispositions. This broad set of mathematics goals is central to the Common Core State Standards for Mathematics. High-stakes testing often drives…

The Multicultural Mathematics Classroom: Culturally Aware Teaching through Cooperative Learning & Multiple Representations

ERIC Educational Resources Information Center

Jao, Limin

2012-01-01

The National Council of Teachers of Mathematics (NCTM, 2000) has created a set of standards to reform mathematics teaching procedures to ensure that all students understand mathematics and learn to think mathematically. The standards also require teachers to use strategies that allow all students to reason and communicate mathematically and…

Assessing Understanding through Reading and Writing in Mathematics

ERIC Educational Resources Information Center

Adu-Gyamfi, Kwaku; Bosse, Michael J.; Faulconer, Johna

2010-01-01

The mathematics education community recognizes the integrality of reading and writing in learning and communicating mathematics knowledge. Unfortunately, many students have yet to significantly experience this integrality in their mathematics classrooms despite the power these tools offer teachers for assessing student knowledge. This paper…

The Mathematics of Medical Imaging in the Classroom.

ERIC Educational Resources Information Center

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

2002-01-01

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

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…

Integrating Touch-Enabled and Mobile Devices into Contemporary Mathematics Education

ERIC Educational Resources Information Center

Meletiou-Mavrotheris, Maria, Ed.; Mavrou, Katerina, Ed.; Paparistodemou, Efi, Ed.

2015-01-01

Despite increased interest in mobile devices as learning tools, the amount of available primary research studies on their integration into mathematics teaching and learning is still relatively small due to the novelty of these technologies. "Integrating Touch-Enabled and Mobile Devices into Contemporary Mathematics Education" presents…

Integrating Literature into the Teaching of Mathematics

ERIC Educational Resources Information Center

Cox, Teodora

2016-01-01

Mathematics teachers are frequently looking for real-life applications and meaningful integration of mathematics and other content areas. Many genuinely seek to reach out to students and help them make connections between the often abstract topics taught in school. In this article the author presents ideas on integrating literature and mathematics…

Software for Training in Pre-College Mathematics

NASA Technical Reports Server (NTRS)

Shelton, Robert O.; Moebes, Travis A.; VanAlstine, Scot

2003-01-01

The Intelligent Math Tutor (IMT) is a computer program for training students in pre-college and college-level mathematics courses, including fundamentals, intermediate algebra, college algebra, and trigonometry. The IMT can be executed on a server computer for access by students via the Internet; alternatively, it can be executed on students computers equipped with compact- disk/read-only-memory (CD-ROM) drives. The IMT provides interactive exercises, assessment, tracking, and an on-line graphing calculator with algebraic-manipulation capabilities. The IMT provides an innovative combination of content, delivery mechanism, and artificial intelligence. Careful organization and presentation of the content make it possible to provide intelligent feedback to the student based on performance on exercises and tests. The tracking and feedback mechanisms are implemented within the capabilities of a commercial off-the-shelf development software tool and are written in the Unified Modeling Language to maximize reuse and minimize development cost. The graphical calculator is a standard feature of most college and pre-college algebra and trigonometry courses. Placing this functionality in a Java applet decreases the cost, provides greater capabilities, and provides an opportunity to integrate the calculator with the lessons.

Facilitating Student Understanding of Buffering by an Integration of Mathematics and Chemical Concepts

ERIC Educational Resources Information Center

Curtright, Robert; Emry, Randall; Heaton, Ruth M.; Markwell, John

2004-01-01

We describe a simple undergraduate exercise involving the titration of a weak acid by a strong base using a pH meter and a micropipette. Students then use their data and carry out graphical analyses with a spreadsheet. The analyses involve using mathematical concepts such as first-derivative and semi-log plots and provide an opportunity for…

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…

The CASPER Virtual Physics Circus

NASA Astrophysics Data System (ADS)

Carmona-Reyes, Jorge; Harris, Brandon; Chen, Mudi; Matthews, Lorin; Hyde, Truell

2013-10-01

CASPER's Virtual Physics Circus (VPC) is based on the long-running CASPER Physics Circus and is the most recent component in CASPER's ``Seamless Pathway'' educational outreach initiative. The VPC was developed by an interdisciplinary group of physicists, web-designers and educators and employs both web and video game environments to provide students and teachers with engaging, fast-paced educational activities. Access to an integrated curriculum and video library, aligned to both the TEKS (Texas Essentials Knowledge and Skill) and the National Science and Mathematics Standards, is also part of the VPC package. In this talk an initial beta-test of the VPC, conducted for a central Texas independent school district, will be discussed. Future plans for both expansion and translation into Spanish will also be discussed.

Assessing the Quality of the Common Core State Standards for Mathematics

ERIC Educational Resources Information Center

Cobb, Paul; Jackson, Kara

2011-01-01

The authors comment on Porter, McMaken, Hwang, and Yang's recent analysis of the Common Core State Standards for Mathematics by critiquing their measures of the focus of the standards and the absence of an assessment of coherence. The authors then consider whether the standards are an improvement over most state mathematics standards by discussing…

Sustaining Integrated Technology in Undergraduate Mathematics

ERIC Educational Resources Information Center

Oates, Greg

2011-01-01

The effective integration of technology into the teaching and learning of mathematics remains one of the critical challenges facing contemporary tertiary mathematics. This article reports on some significant findings of a wider study investigating the use of technology in undergraduate mathematics. It first discusses a taxonomy developed to…

Illuminating NCTM's "Principles and Standards for School Mathematics."

ERIC Educational Resources Information Center

Keller, Brian A.; Hart, Eric W.; Martin, W. Gary

2001-01-01

Describes electronic resources designed to illuminate the National Council of Teachers of Mathematics' (NCTM) "Principles and Standards for School Mathematics". Provides a vehicle for further discussion of the vision put forth in the Standards. (Author/MM)

The Effectiveness of Instructional Mathematics Coaching: A Study on How the Implementation of Instructional Mathematics Coaches in Elementary Schools Impacts Student Achievement and Promotes Teacher Self-Efficacy

ERIC Educational Resources Information Center

Taylor, Janice E.

2017-01-01

The State of Illinois adopted the Illinois Learning Standards for Mathematics on June 24, 2010 as a means for students to succeed in college, in a career and in life. The new standards had instructional shifts in content and practice that differed from the 1999 Illinois Learning Standards. The new mathematics standards contained fewer topics for…

An Examination of the Statistical Problem-Solving Process as a Potential Means for Developing an Understanding of Argumentation

ERIC Educational Resources Information Center

Smith Baum, Brittany Deshae

2017-01-01

As part of the recent history of the mathematics curriculum, reasoning and argument have been emphasized throughout mathematics curriculum standards. Specifically, as part of the Common Core State Standards for Mathematics, the Standards for Mathematical Practice were presented, which included the expectation that students develop arguments and…

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…

Mathematical Communication in State Standards before the Common Core

ERIC Educational Resources Information Center

Kosko, Karl Wesley; Gao, Yang

2017-01-01

Mathematical communication has been an important feature of standards documents since National Council of Teachers of Mathematics' (NCTM) (1989) "Curriculum and Evaluation Standards." Such an emphasis has influenced content standards of states from then to present. This study examined how effective the prevalence of various forms of…

Preservice Secondary Teachers Perceptions of College-Level Mathematics Content Connections with the Common Core State Standards for Mathematics

ERIC Educational Resources Information Center

Olson, Travis A.

2016-01-01

Preservice Secondary Mathematics Teachers (PSMTs) were surveyed to identify if they could connect early-secondary mathematics content (Grades 7-9) in the Common Core State Standards for Mathematics (CCSSM) with mathematics content studied in content courses for certification in secondary teacher preparation programs. Respondents were asked to…

Entering into dialogue about the mathematical value of contextual mathematising tasks

NASA Astrophysics Data System (ADS)

Yoon, Caroline; Chin, Sze Looi; Moala, John Griffith; Choy, Ban Heng

2018-03-01

Our project seeks to draw attention to the rich mathematical thinking that is generated when students work on contextual mathematising tasks. We use a design-based research approach to create ways of reporting that raise the visibility of this rich mathematical thinking while retaining and respecting its complexity. These reports will be aimed for three classroom stakeholders: (1) students, who wish to reflect on and enhance their mathematical learning; (2) teachers, who wish to integrate contextual mathematising tasks into their teaching practice and (3) researchers, who seek rich tasks for generating observable instances of mathematical thinking and learning. We anticipate that these reports and the underlying theoretical framework for creating them will contribute to greater awareness of and appreciation for the mathematical value of contextual mathematising tasks in learning, teaching and research.

Changing Pre-Service Mathematics Teachers' Beliefs about Using Computers for Teaching and Learning Mathematics: The Effect of Three Different Models

ERIC Educational Resources Information Center

Karatas, Ilhan

2014-01-01

This study examines the effect of three different computer integration models on pre-service mathematics teachers' beliefs about using computers in mathematics education. Participants included 104 pre-service mathematics teachers (36 second-year students in the Computer Oriented Model group, 35 fourth-year students in the Integrated Model (IM)…

Development of an Instrument to Assess and Deliberate on the Integration of Mathematics into Student-Centered Science Learning

ERIC Educational Resources Information Center

Judson, Eugene

2013-01-01

It has long been noted in research literature that there does not exist a shared definition of integration of science and mathematics. Classifying a particular set of integration practices by one of many labels has limited value. Moving past the definition debate, this study describes the development and testing of the Mathematics Integrated into…

Good Questions: Great Ways to Differentiate Mathematics Instruction in the Standards-Based Classroom. Third Edition

ERIC Educational Resources Information Center

Small, Marian

2017-01-01

Now in its Third Edition--expanded with over 100 new tasks and questions--this bestselling resource helps experienced and novice teachers to effectively and efficiently differentiate mathematics instruction in grades K-8. Math education expert Marian Small shows teachers how to get started and become expert at using two powerful and universal…

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…

The Impact of Higher Expectations in Math on the Perception of Achievement of High School Students with Disabilities

ERIC Educational Resources Information Center

Przybylinski, Vincent S., Jr.

2016-01-01

There exists a dearth of research on strategies that will help students with disabilities gain greater access to standards-based mathematics and close the mathematics achievement gap between general education students and students with disabilities (Browder et al., 2012; Jitendra, 2013; van Garderen, Scheuermann, Jackson, & Hampton, 2009).…

A Proposed Pedagogical Approach for Preparing Teacher Candidates to Incorporate Academic Language in Mathematics Classrooms

ERIC Educational Resources Information Center

Lim, Woong; Stallings, Lynn; Kim, Dong Joong

2015-01-01

The purpose of this article is to present issues related to prioritizing academic language in teaching performance assessments and to propose a pedagogical approach that prepares middle grades mathematics teacher candidates to teach academic language. Based on our experience with teacher candidates and our knowledge of edTPA standards involving…

Understanding Problem-Solving Errors by Students with Learning Disabilities in Standards-Based and Traditional Curricula

ERIC Educational Resources Information Center

Bouck, Emily C.; Bouck, Mary K.; Joshi, Gauri S.; Johnson, Linley

2016-01-01

Students with learning disabilities struggle with word problems in mathematics classes. Understanding the type of errors students make when working through such mathematical problems can further describe student performance and highlight student difficulties. Through the use of error codes, researchers analyzed the type of errors made by 14 sixth…

Patterns of Teacher's Instructional Moves: What Makes Mathematical Instructional Practices Unique?

ERIC Educational Resources Information Center

Pinter, Holly Henderson

2013-01-01

The purpose of this study was to examine patterns in fourth-grade teachers' use of instructional moves in the implementation of standards-based mathematical teaching practices. Using a mixed methods sequential explanatory design, the study consisted of two phases: quantitative selection and qualitative analysis. The first phase of the study…

Developing an Assessment Instrument to Measure Early Elementary Teachers' Mathematical Knowledge for Teaching

ERIC Educational Resources Information Center

Schoen, Robert C.; Bray, Wendy; Wolfe, Christopher; Tazaz, Amanda M.; Nielsen, Lynne

2017-01-01

This study reports on the development and field study of K-TEEM, a web-based assessment instrument designed to measure mathematical knowledge for teaching (MKT) at the early elementary level. The development process involved alignment with early elementary curriculum standards, expert review of items and scoring criteria, cognitive interviews with…

Supporting Classroom Instruction: The Textbook Navigator/Journal

ERIC Educational Resources Information Center

Cogan, Leland S.; Burroughs, Nathan; Schmidt, William H.

2015-01-01

Researchers at the Center for the Study of Curriculum at Michigan State University have developed a tool to help teachers implement the Common Core State Standards in mathematics by letting standards, not textbooks, guide their instruction. Using the web-based Textbook Navigator/Journal, teachers can pick a standard and ask which portions of the…

How One State Established School Library/Technology Standards

ERIC Educational Resources Information Center

Bartow, Colet

2009-01-01

Educational standards continue to be hot topics of discussion for this year and, no doubt, beyond. The Council of Chief State School Officials (CCSSO) and the National Governors' Association Center for Best Practices (NGA Center) has initiated a study based on "Common Core" English/Language Arts and Mathematics Standards. The release of…

Measuring Mathematics Teacher Educators' Knowledge of Technology Integrated Teaching: Instrument Development

ERIC Educational Resources Information Center

Getenet, Seyum Tekeher; Beswick, Kim

2013-01-01

This study describes the construction of a questionnaire instrument to measure mathematics teacher educators' knowledge for technology integrated mathematics teaching. The study was founded on a reconceptualisation of the generic Technological Pedagogical Content Knowledge framework in the specific context of mathematics teaching. Steps in the…

The Objective Borderline Method: A Probabilistic Method for Standard Setting

ERIC Educational Resources Information Center

Shulruf, Boaz; Poole, Phillippa; Jones, Philip; Wilkinson, Tim

2015-01-01

A new probability-based standard setting technique, the Objective Borderline Method (OBM), was introduced recently. This was based on a mathematical model of how test scores relate to student ability. The present study refined the model and tested it using 2500 simulated data-sets. The OBM was feasible to use. On average, the OBM performed well…

Mathematical Modeling: A Structured Process

ERIC Educational Resources Information Center

Anhalt, Cynthia Oropesa; Cortez, Ricardo

2015-01-01

Mathematical modeling, in which students use mathematics to explain or interpret physical, social, or scientific phenomena, is an essential component of the high school curriculum. The Common Core State Standards for Mathematics (CCSSM) classify modeling as a K-12 standard for mathematical practice and as a conceptual category for high school…

Helping Children Learn Mathematics through Multiple Intelligences and Standards for School Mathematics.

ERIC Educational Resources Information Center

Adams, Thomasenia Lott

2001-01-01

Focuses on the National Council of Teachers of Mathematics 2000 process-oriented standards of problem solving, reasoning and proof, communication, connections, and representation as providing a framework for using the multiple intelligences that children bring to mathematics learning. Presents ideas for mathematics lessons and activities to…

Communication and Representation as Elements in Mathematical Literacy

ERIC Educational Resources Information Center

Thompson, Denisse R.; Chappell, Michaele F.

2007-01-01

The process standards of communication and representation in the "Principles and Standards for School Mathematics" are critical tools to help students develop mathematical literacy. In the mathematics classroom, students need to be encouraged to use speaking, listening, reading, and writing to communicate their understanding of mathematics words,…

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.

Resonance Parameter Adjustment Based on Integral Experiments

DOE PAGES

Sobes, Vladimir; Leal, Luiz; Arbanas, Goran; ...

2016-06-02

Our project seeks to allow coupling of differential and integral data evaluation in a continuous-energy framework and to use the generalized linear least-squares (GLLS) methodology in the TSURFER module of the SCALE code package to update the parameters of a resolved resonance region evaluation. We recognize that the GLLS methodology in TSURFER is identical to the mathematical description of a Bayesian update in SAMMY, the SAMINT code was created to use the mathematical machinery of SAMMY to update resolved resonance parameters based on integral data. Traditionally, SAMMY used differential experimental data to adjust nuclear data parameters. Integral experimental data, suchmore » as in the International Criticality Safety Benchmark Experiments Project, remain a tool for validation of completed nuclear data evaluations. SAMINT extracts information from integral benchmarks to aid the nuclear data evaluation process. Later, integral data can be used to resolve any remaining ambiguity between differential data sets, highlight troublesome energy regions, determine key nuclear data parameters for integral benchmark calculations, and improve the nuclear data covariance matrix evaluation. Moreover, SAMINT is not intended to bias nuclear data toward specific integral experiments but should be used to supplement the evaluation of differential experimental data. Using GLLS ensures proper weight is given to the differential data.« less

The COPD Knowledge Base: enabling data analysis and computational simulation in translational COPD research.

PubMed

Cano, Isaac; Tényi, Ákos; Schueller, Christine; Wolff, Martin; Huertas Migueláñez, M Mercedes; Gomez-Cabrero, David; Antczak, Philipp; Roca, Josep; Cascante, Marta; Falciani, Francesco; Maier, Dieter

2014-11-28

Previously we generated a chronic obstructive pulmonary disease (COPD) specific knowledge base (http://www.copdknowledgebase.eu) from clinical and experimental data, text-mining results and public databases. This knowledge base allowed the retrieval of specific molecular networks together with integrated clinical and experimental data. The COPDKB has now been extended to integrate over 40 public data sources on functional interaction (e.g. signal transduction, transcriptional regulation, protein-protein interaction, gene-disease association). In addition we integrated COPD-specific expression and co-morbidity networks connecting over 6 000 genes/proteins with physiological parameters and disease states. Three mathematical models describing different aspects of systemic effects of COPD were connected to clinical and experimental data. We have completely redesigned the technical architecture of the user interface and now provide html and web browser-based access and form-based searches. A network search enables the use of interconnecting information and the generation of disease-specific sub-networks from general knowledge. Integration with the Synergy-COPD Simulation Environment enables multi-scale integrated simulation of individual computational models while integration with a Clinical Decision Support System allows delivery into clinical practice. The COPD Knowledge Base is the only publicly available knowledge resource dedicated to COPD and combining genetic information with molecular, physiological and clinical data as well as mathematical modelling. Its integrated analysis functions provide overviews about clinical trends and connections while its semantically mapped content enables complex analysis approaches. We plan to further extend the COPDKB by offering it as a repository to publish and semantically integrate data from relevant clinical trials. The COPDKB is freely available after registration at http://www.copdknowledgebase.eu.

Integrating Interactive Simulations into the Mathematics Classroom: Supplementing, Enhancing, or Driving?

ERIC Educational Resources Information Center

Findley, Kelly; Whitacre, Ian; Hensberry, Karina

2017-01-01

High-tech tools can be integrated to serve a number of purposes in the mathematics classroom, with different purposes being appropriate for different learning goals. We focus specifically on the various purposes for interactive simulations (sims). This study followed three experienced middle-school mathematics teachers integrating PhET sims into…

Preparing Middle Level Preservice Teachers to Integrate Mathematics and Science: Problems and Possibilities

ERIC Educational Resources Information Center

Koirala, Hari P.; Bowman, Jacqueline K.

2003-01-01

Many members of the mathematics and science education community believe that the integration of mathematics and science enhances students' understanding of both subjects. Despite this belief, attempts to integrate these subjects have frequently been unsuccessful. This study examines the development and implementation of a team-taught integrated…

Going beyond the lesson: Self-generating new factual knowledge in the classroom

PubMed Central

Esposito, Alena G.; Bauer, Patricia J.

2016-01-01

For children to build a knowledge base, they must integrate and extend knowledge acquired across separate episodes of new learning. Children’s performance was assessed in a task requiring them to self-generate new factual knowledge from the integration of novel facts presented through separate lessons in the classroom. Whether self-generation performance predicted academic outcomes in reading comprehension and mathematics was also examined. The 278 participating children were in grades K-3 (mean age 7.7 years; range 5.5–10.3 years). Children self-generated new factual knowledge through integration in the classroom; age-related increases were observed. Self-generation performance predicted both reading comprehension and mathematics academic outcomes, even when controlling for caregiver education. PMID:27728784

VERTICAL INTEGRATION OF THREE-PHASE FLOW EQUATIONS FOR ANALYSIS OF LIGHT HYDROCARBON PLUME MOVEMENT

EPA Science Inventory

A mathematical model is derived for areal flow of water and light hydrocarbon in the presence of gas at atmospheric pressure. Closed-form expressions for the vertically integrated constitutive relations are derived based on a three-phase extension of the Brooks-Corey saturation-...

Teaching Basic Quantum Mechanics in Secondary School Using Concepts of Feynman Path Integrals Method

ERIC Educational Resources Information Center

Fanaro, Maria de los Angeles; Otero, Maria Rita; Arlego, Marcelo

2012-01-01

This paper discusses the teaching of basic quantum mechanics in high school. Rather than following the usual formalism, our approach is based on Feynman's path integral method. Our presentation makes use of simulation software and avoids sophisticated mathematical formalism. (Contains 3 figures.)

Enhanced Sensitivity to Rapid Input Fluctuations by Nonlinear Threshold Dynamics in Neocortical Pyramidal Neurons.

PubMed

Mensi, Skander; Hagens, Olivier; Gerstner, Wulfram; Pozzorini, Christian

2016-02-01

The way in which single neurons transform input into output spike trains has fundamental consequences for network coding. Theories and modeling studies based on standard Integrate-and-Fire models implicitly assume that, in response to increasingly strong inputs, neurons modify their coding strategy by progressively reducing their selective sensitivity to rapid input fluctuations. Combining mathematical modeling with in vitro experiments, we demonstrate that, in L5 pyramidal neurons, the firing threshold dynamics adaptively adjust the effective timescale of somatic integration in order to preserve sensitivity to rapid signals over a broad range of input statistics. For that, a new Generalized Integrate-and-Fire model featuring nonlinear firing threshold dynamics and conductance-based adaptation is introduced that outperforms state-of-the-art neuron models in predicting the spiking activity of neurons responding to a variety of in vivo-like fluctuating currents. Our model allows for efficient parameter extraction and can be analytically mapped to a Generalized Linear Model in which both the input filter--describing somatic integration--and the spike-history filter--accounting for spike-frequency adaptation--dynamically adapt to the input statistics, as experimentally observed. Overall, our results provide new insights on the computational role of different biophysical processes known to underlie adaptive coding in single neurons and support previous theoretical findings indicating that the nonlinear dynamics of the firing threshold due to Na+-channel inactivation regulate the sensitivity to rapid input fluctuations.

Preservice Mathematics and Science Teachers in an Integrated Teacher Preparation Program for Grades 7-12: A 3-Year Study of Attitudes and Perceptions Related to Integration

ERIC Educational Resources Information Center

Berlin, Donna F.; White, Arthur L.

2010-01-01

The purpose of this article is twofold: (a) to describe a unique teacher licensure program for grades 7-12 that integrates mathematics, science, and technology education and (b) to explore the attitudes and perceptions related to the integration of mathematics, science, and technology education of three cohorts of preservice teachers enrolled in…

Evolutionary game theory using agent-based methods.

PubMed

Adami, Christoph; Schossau, Jory; Hintze, Arend

2016-12-01

Evolutionary game theory is a successful mathematical framework geared towards understanding the selective pressures that affect the evolution of the strategies of agents engaged in interactions with potential conflicts. While a mathematical treatment of the costs and benefits of decisions can predict the optimal strategy in simple settings, more realistic settings such as finite populations, non-vanishing mutations rates, stochastic decisions, communication between agents, and spatial interactions, require agent-based methods where each agent is modeled as an individual, carries its own genes that determine its decisions, and where the evolutionary outcome can only be ascertained by evolving the population of agents forward in time. While highlighting standard mathematical results, we compare those to agent-based methods that can go beyond the limitations of equations and simulate the complexity of heterogeneous populations and an ever-changing set of interactors. We conclude that agent-based methods can predict evolutionary outcomes where purely mathematical treatments cannot tread (for example in the weak selection-strong mutation limit), but that mathematics is crucial to validate the computational simulations. Copyright © 2016 Elsevier B.V. All rights reserved.

Integrating Mathematics, Science, and Language Arts Instruction Using the World Wide Web.

ERIC Educational Resources Information Center

Clark, Kenneth; Hosticka, Alice; Kent, Judi; Browne, Ron

1998-01-01

Addresses issues of access to World Wide Web sites, mathematics and science content-resources available on the Web, and methods for integrating mathematics, science, and language arts instruction. (Author/ASK)

Felix Klein and the NCTM's Standards: A Mathematician Considers Mathematics Education.

ERIC Educational Resources Information Center

McComas, Kim Krusen

2000-01-01

Discusses the parallels between Klein's position at the forefront of a movement to reform mathematics education and that of the National Council of Teachers of Mathematics' (NCTM) Standards. Draws a picture of Klein as an important historical figure who saw equal importance in studying pure mathematics, applying mathematics, and teaching…

Leaning on Mathematical Habits of Mind

ERIC Educational Resources Information Center

Sword, Sarah; Matsuura, Ryota; Cuoco, Al; Kang, Jane; Gates, Miriam

2018-01-01

Mathematical modeling has taken on increasing curricular importance in the past decade due in no small measure to the Common Core State Standards in Mathematics (CCSSM) identifying modeling as one of the Standards for Mathematical Practice (SMP 4, CCSSI 2010, p. 7). Although researchers have worked on mathematical modeling (Lesh and Doerr 2003;…

Integrated learning of mathematics, science and technology concepts through LEGO/Logo projects

NASA Astrophysics Data System (ADS)

Wu, Lina

This dissertation examined integrated learning in the domains of mathematics, science and technology based on Piaget's constructivism, Papert's constructionism, and project-based approach to education. Ten fifth grade students were involved in a two-month long after school program where they designed and built their own computer-controlled LEGO/Logo projects that required the use of gears, ratios and motion concepts. The design of this study centered on three notions of integrated learning: (1) integration in terms of what educational materials/settings provide, (2) integration in terms of students' use of those materials, and (3) integration in the psychological sense. In terms of the first notion, the results generally showed that the LEGO/Logo environment supported the integrated learning of math, science and technology concepts. Regarding the second notion, the students all completed impressive projects of their own design. They successfully combined gears, motors, and LEGO parts together to create motion and writing control commands to manipulate the motion. But contrary to my initial expectations, their successful designs did not require numerical reasoning about ratios in designing effective gear systems. When they did reason about gear relationships, they worked with "qualitative" ratios, e.g., "a larger driver gear with a smaller driven gear increases the speed." In terms of the third notion of integrated learning, there was evidence in all four case study students of the psychological processes involved in linking mathematical, scientific, and/or technological concepts together to achieve new conceptual units. The students not only made connections between ideas and experiences, but also recognized decisive patterns and relationships in their project work. The students with stronger overall project performances showed more evidence of synthesis than the students with relatively weaker performances did. The findings support the conclusion that all three notions of the integrated learning are important for understanding what the students learned from their project work. By considering these notions together, and by deliberating about their interrelations, we take a step towards understanding the integrated learning.

An Investigation into Student Perceptions towards Mathematics and Their Performance in First Year Chemistry: Introduction of Online Maths Skills Support

ERIC Educational Resources Information Center

Johnston, Peter R.; Watters, Dianne J.; Brown, Christopher L.; Loughlin, Wendy A.

2016-01-01

An online Maths Skills Site was developed as an integrated support programme for first year Chemistry students, the content of which, was based on an analysis of their high-school mathematical backgrounds. This study examined the students' perceptions of Maths, their patterns of usage of the Maths Skills Site and whether there was a relationship…

Hierarchical hybrid control of manipulators: Artificial intelligence in large scale integrated circuits

NASA Technical Reports Server (NTRS)

Greene, P. H.

1972-01-01

Both in practical engineering and in control of muscular systems, low level subsystems automatically provide crude approximations to the proper response. Through low level tuning of these approximations, the proper response variant can emerge from standardized high level commands. Such systems are expressly suited to emerging large scale integrated circuit technology. A computer, using symbolic descriptions of subsystem responses, can select and shape responses of low level digital or analog microcircuits. A mathematical theory that reveals significant informational units in this style of control and software for realizing such information structures are formulated.

Effects of Mathematics Integration in a Teaching Methods Course on Self-Efficacy of Preservice Agricultural Education Teachers

ERIC Educational Resources Information Center

Stripling, Christopher T.; Roberts, T. Grady

2013-01-01

Teachers who are efficacious persevere through challenges in the learning environment and put forth more effort in designing learning activities. The purpose of this study was to determine the effects of mathematics teaching and integration strategies (MTIS) on preservice agricultural teachers' personal mathematics efficacy, mathematics teaching…

An investigation of mathematics and science instruction in English and Spanish for English language learners

NASA Astrophysics Data System (ADS)

Rodriguez-Esquivel, Marina

The contextual demands of language in content area are difficult for ELLS. Content in the native language furthers students' academic development and native language skills, while they are learning English. Content in English integrates pedagogical strategies for English acquisition with subject area instruction. The following models of curriculum content are provided in most Miami Dade County Public Schools: (a) mathematics instruction in the native language with science instruction in English or (b) science instruction in the native language with mathematics instruction in English. The purpose of this study was to investigate which model of instruction is more contextually supportive for mathematics and science achievement. A pretest and posttest, nonequivalent group design was used with 94 fifth grade ELLs who received instruction in curriculum model (a) or (b). This allowed for statistical analysis that detected a difference in the means of .5 standard deviations with a power of .80 at the .05 level of significance. Pretreatment and post-treatment assessments of mathematics, reading, and science achievement were obtained through the administration of Aprenda-Segunda Edicion and the Florida Comprehensive Achievement Test. The results indicated that students receiving mathematics in English and Science in Spanish scored higher on achievement tests in both Mathematics and Science than the students who received Mathematics in Spanish and Science in English. In addition, the mean score of students on the FCAT mathematics examination was higher than their mean score on the FCAT science examination regardless of the language of instruction.

How to Enlarge the Scope of the Curriculum Integration of Mathematics and Science (CIMAS): A Delphi Study

ERIC Educational Resources Information Center

Kim, Minkee; Aktan, Tugba

2014-01-01

Studies have not yet consented whether integrating mathematics into science would enhance students' learning or confuse their understanding of abstract mathematical concepts. In spite of the social need for solving social-scientific problems with multiple facets, there has not been a holistic integration model of the disciplines. Hence, this study…

Integrating STEM in Elementary Classrooms Using Model-Eliciting Activities: Responsive Professional Development for Mathematics Coaches and Teachers

ERIC Educational Resources Information Center

Baker, Courtney K.; Galanti, Terrie M.

2017-01-01

Background: This research highlights a school-university collaboration to pilot a professional development framework for integrating STEM in K-6 mathematics classrooms in a mid-Atlantic suburban school division. Because mathematics within STEM integration is often characterized as the calculations or the data representations in science classrooms,…

The etiology of mathematical self-evaluation and mathematics achievement: understanding the relationship using a cross-lagged twin study from age 9 to 12

PubMed Central

Luo, Yu L.L.; Kovas, Yulia; Haworth, Claire M.A.; Plomin, Robert

2011-01-01

The genetic and environmental origins of individual differences in mathematical self-evaluation over time and its association with later mathematics achievement were investigated in a UK sample of 2138 twin pairs at ages 9 and 12. Self-evaluation indexed how good children think they are at mathematical activities and how much they like those activities. Mathematics achievement was assessed by teachers based on UK National Curriculum standards. At both ages self-evaluation was approximately 40% heritable, with the rest of the variance explained by non-shared environment. The results also suggested moderate reciprocal associations between self-evaluation and mathematics achievement across time, with earlier self-evaluation predicting later performance and earlier performance predicting later self-evaluation. These cross-lagged relationships were genetically rather than environmentally mediated. PMID:22102781

Does Mathletics, a Supplementary Digital Math Tool, Improve Student Learning and Teaching Methods at Three Private Catholic Schools in Florida?--A Mixed Methods Study

ERIC Educational Resources Information Center

Stephan, Kelly Purdy

2017-01-01

Improving mathematical student performance in K-12 education has been a focus in the U.S. Students in the U.S. score lower on standardized math assessments than students in other countries. Preparing students for a successful future in a global society requires schools to integrate effective digital technologies in math classroom curricula.…

Experimental Mathematics and Mathematical Physics

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

Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David

2009-06-26

One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting numerical values. Recently these techniques have been applied with great success to problems in mathematical physics. Notable among these applications are the identification of some key multi-dimensional integrals that arise in Ising theory, quantum field theory and in magnetic spin theory.

Exploration of Patterns in a Calendar

ERIC Educational Resources Information Center

Huang, Rongjin; Prince, Kyle M.; Schmidt, Teresa

2014-01-01

The importance of developing reasoning and justification has been highlighted in "Principles and Standards for School Mathematics" (NCTM 2000). The Common Core State Standards for Mathematics (CCSSI 2010) further reiterates the importance of reasoning and proof in several standards for mathematical practice. Students of all grades are…

Generating Linear Equations Based on Quantitative Reasoning

ERIC Educational Resources Information Center

Lee, Mi Yeon

2017-01-01

The Common Core's Standards for Mathematical Practice encourage teachers to develop their students' ability to reason abstractly and quantitatively by helping students make sense of quantities and their relationships within problem situations. The seventh-grade content standards include objectives pertaining to developing linear equations in…

Unified framework for information integration based on information geometry

PubMed Central

Oizumi, Masafumi; Amari, Shun-ichi

2016-01-01

Assessment of causal influences is a ubiquitous and important subject across diverse research fields. Drawn from consciousness studies, integrated information is a measure that defines integration as the degree of causal influences among elements. Whereas pairwise causal influences between elements can be quantified with existing methods, quantifying multiple influences among many elements poses two major mathematical difficulties. First, overestimation occurs due to interdependence among influences if each influence is separately quantified in a part-based manner and then simply summed over. Second, it is difficult to isolate causal influences while avoiding noncausal confounding influences. To resolve these difficulties, we propose a theoretical framework based on information geometry for the quantification of multiple causal influences with a holistic approach. We derive a measure of integrated information, which is geometrically interpreted as the divergence between the actual probability distribution of a system and an approximated probability distribution where causal influences among elements are statistically disconnected. This framework provides intuitive geometric interpretations harmonizing various information theoretic measures in a unified manner, including mutual information, transfer entropy, stochastic interaction, and integrated information, each of which is characterized by how causal influences are disconnected. In addition to the mathematical assessment of consciousness, our framework should help to analyze causal relationships in complex systems in a complete and hierarchical manner. PMID:27930289

STEM Gives Meaning to Mathematics

ERIC Educational Resources Information Center

Hefty, Lukas J.

2015-01-01

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

The method of expected number of deaths, 1786-1886-1986.

PubMed

Keiding, N

1987-04-01

"The method of expected number of deaths is an integral part of standardization of vital rates, which is one of the oldest statistical techniques. The expected number of deaths was calculated in 18th century actuarial mathematics...but the method seems to have been forgotten, and was reinvented in connection with 19th century studies of geographical and occupational variations of mortality.... It is noted that standardization of rates is intimately connected to the study of relative mortality, and a short description of very recent developments in the methodology of that area is included." (SUMMARY IN FRE) excerpt

Computer-Based Mathematics Instructions for Engineering Students

NASA Technical Reports Server (NTRS)

Khan, Mustaq A.; Wall, Curtiss E.

1996-01-01

Almost every engineering course involves mathematics in one form or another. The analytical process of developing mathematical models is very important for engineering students. However, the computational process involved in the solution of some mathematical problems may be very tedious and time consuming. There is a significant amount of mathematical software such as Mathematica, Mathcad, and Maple designed to aid in the solution of these instructional problems. The use of these packages in classroom teaching can greatly enhance understanding, and save time. Integration of computer technology in mathematics classes, without de-emphasizing the traditional analytical aspects of teaching, has proven very successful and is becoming almost essential. Sample computer laboratory modules are developed for presentation in the classroom setting. This is accomplished through the use of overhead projectors linked to graphing calculators and computers. Model problems are carefully selected from different areas.

The Effects of a Teacher In-Service on Low-Achieving Grade 7 and 8 Mathematics Students

ERIC Educational Resources Information Center

Ross, John A.; Xu, YunMei; Ford, John

2008-01-01

Previous research (e.g., Woodward & Baxter, 1997) found that Standards-based mathematics teaching provides marginal or no benefits for low achievers, in contrast with positive effects for middle and high ability students. A randomized quasi-experiment in 52 Canadian schools found that low achieving grade 7 and 8 students who received support…

Rethinking Critical Mathematics: A Comparative Analysis of Critical, Reform, and Traditional Geometry Instructional Texts

ERIC Educational Resources Information Center

Brantlinger, Andrew

2011-01-01

This paper presents findings from a comparative analysis of three similar secondary geometry texts, one critical unit, one standards-based reform unit, and one specialist chapter. I developed the critical unit as I took the tenets of critical mathematics (CM) and substantiated them in printed curricular materials in which to teach as part of a…

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…

Exploring Yellowstone National Park with Mathematical Modeling

ERIC Educational Resources Information Center

Wickstrom, Megan H.; Carr, Ruth; Lackey, Dacia

2017-01-01

Mathematical modeling, a practice standard in the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010), is a process by which students develop and use mathematics as a tool to make sense of the world around them. Students investigate a real-world situation by asking mathematical questions; along the way, they need to decide how to use…

Using assessment to individualize early mathematics instruction.

PubMed

Connor, Carol McDonald; Mazzocco, Michèle M M; Kurz, Terri; Crowe, Elizabeth C; Tighe, Elizabeth L; Wood, Taffeta S; Morrison, Frederick J

2018-02-01

Accumulating evidence suggests that assessment-informed personalized instruction, tailored to students' individual skills and abilities, is more effective than more one-size-fits-all approaches. In this study, we evaluate the efficacy of Individualizing Student Instruction in Mathematics (ISI-Math) compared to Reading (ISI-Reading) where classrooms were randomly assigned to ISI-Math or ISI-Reading. The literature on child characteristics X instruction or skill X treatment interaction effects point to the complexities of tailoring instruction for individual students who present with constellations of skills. Second graders received mathematics instruction in small flexible learning groups based on their assessed learning needs. Results of the study (n=32 teachers, 370 students) revealed significant treatment effects on standardized mathematics assessments. With effect sizes (d) of 0.41-0.60, we show that we can significantly improve 2nd graders' mathematics achievement, including for children living in poverty, by using assessment data to individualize the mathematics instruction they receive. The instructional regime, ISI-Math, was implemented by regular classroom teachers and it led to about a 4-month achievement advantage on standardized mathematics tests when compared to students in control classrooms. These results were realized within one school year. Moreover, treatment effects were the same regardless of school-level poverty and students' gender, initial mathematics or vocabulary scores. Copyright © 2017 Society for the Study of School Psychology. Published by Elsevier Ltd. All rights reserved.

Modeling of a data exchange process in the Automatic Process Control System on the base of the universal SCADA-system

NASA Astrophysics Data System (ADS)

Topolskiy, D.; Topolskiy, N.; Solomin, E.; Topolskaya, I.

2016-04-01

In the present paper the authors discuss some ways of solving energy saving problems in mechanical engineering. In authors' opinion one of the ways of solving this problem is integrated modernization of power engineering objects of mechanical engineering companies, which should be intended for the energy supply control efficiency increase and electric energy commercial accounting improvement. The author have proposed the usage of digital current and voltage transformers for these purposes. To check the compliance of this equipment with the IEC 61850 International Standard, we have built a mathematic model of the data exchange process between measuring transformers and a universal SCADA-system. The results of modeling show that the discussed equipment corresponds to the mentioned Standard requirements and the usage of the universal SCADA-system for these purposes is preferable and economically reasonable. In modeling the authors have used the following software: MasterScada, Master OPC_DI_61850, OPNET.

Effects of Mathematics Integration in a Teaching Methods Course on Mathematics Ability of Preservice Agricultural Education Teachers

ERIC Educational Resources Information Center

Stripling, Christopher T.; Roberts, T. Grady

2014-01-01

The purpose of this study was to determine the effects of incorporating mathematics teaching and integration strategies (MTIS) in a teaching methods course on preservice agricultural teachers' mathematics ability. The research design was quasi-experimental and utilized a nonequivalent control group. The MTIS treatment had a positive effect on the…

Understanding the Technological, Pedagogical, and Mathematical Issues That Emerge as Secondary Mathematics Teachers Design Lessons That Integrate Technology

ERIC Educational Resources Information Center

Gonzalez, Marggie Denise

2016-01-01

This multiple case study examines four groups of secondary mathematics teachers engaged in a Lesson Study approach to professional development where they planned and taught lessons that integrate technology. Informed by current literature, a framework was developed to focus on the dimensions of teacher's knowledge to teach mathematics with…

Do the Standards Go Far Enough? Power, Policy, and Practice in Mathematics Education.

ERIC Educational Resources Information Center

Apple, Michael W.

1992-01-01

Discusses the ideological and social grounding and effects of the NCTM's "Curriculum and Evaluation Standards for School Mathematics" and "Professional Standards for Teaching Mathematics." Includes issues regarding the financial crisis in education, inequality in schools, the possibilities and limitations of a mathematics…

Comparison of Virginia's College and Career Ready Mathematics Performance Expectations with the Common Core State Standards for Mathematics

ERIC Educational Resources Information Center

Virginia Department of Education, 2010

2010-01-01

This paper presents a comparison of Virginia's mathematics performance expectations with the common core state standards for mathematics. The comparison focuses on number and quantity, algebra, functions, geometry, and statistics and probability. (Contains 1 footnote.)

Learning to Write about Mathematics

ERIC Educational Resources Information Center

Parker, Renee; Breyfogle, M. Lynn

2011-01-01

Beginning in third grade, Pennsylvania students are required to take the Pennsylvania State Standardized Assessment (PSSA), which presents multiple-choice mathematics questions and open-ended mathematics problems. Consistent with the Communication Standard of the National Council of Teachers of Mathematics, while solving the open-ended problems,…

A Longitudinal Look at Attitudes and Perceptions Related to the Integration of Mathematics, Science, and Technology Education

ERIC Educational Resources Information Center

Berlin, Donna F.; White, Arthur L.

2012-01-01

The purpose of this study is to provide an in-depth analysis of attitudes and perceptions related to the integration of mathematics, science, and technology education of preservice teachers preparing to teach STEM disciplines. Longitudinal data by individual cohort and across 7 years of the Integrated Mathematics, Science, and Technology (MSAT)…

The Integration of Mathematics in Middle School Science: Student and Teacher Impacts Related to Science Achievement and Attitudes towards Integration

ERIC Educational Resources Information Center

McHugh, Luisa

2016-01-01

Contemporary research has suggested that in order for students to compete globally in the 21st century workplace, pedagogy must shift to include the integration of science and mathematics, where teachers effectively incorporate the two disciplines seamlessly. Mathematics facilitates a deeper understanding of science concepts and has been linked to…

Development of early mathematical skills with a tablet intervention: a randomized control trial in Malawi.

PubMed

Pitchford, Nicola J

2015-01-01

Evaluation of educational interventions is necessary prior to wide-scale rollout. Yet very few rigorous studies have been conducted on the effectiveness of tablet-based interventions, especially in the early years and in developing countries. This study reports a randomized control trial to evaluate the effectiveness of a tablet intervention for supporting the development of early mathematical skills in primary school children in Malawi. A total sample of 318 children, spanning Standards 1-3, attending a medium-sized urban primary school, were randomized to one of three groups: maths tablet intervention, non-maths tablet control, and standard face-to-face practice. Children were pre-tested using tablets at the start of the school year on two tests of mathematical knowledge and a range of basic skills related to scholastic progression. Class teachers then delivered the intervention over an 8-weeks period, for the equivalent of 30-min per day. Technical support was provided from the local Voluntary Service Overseas (VSO). Children were then post-tested on the same assessments as given at pre-test. A final sample of 283 children, from Standards 1-3, present at both pre- and post-test, was analyzed to investigate the effectiveness of the maths tablet intervention. Significant effects of the maths tablet intervention over and above standard face-to-face practice or using tablets without the maths software were found in Standards 2 and 3. In Standard 3 the greater learning gains shown by the maths tablet intervention group compared to both of the control groups on the tablet-based assessments transferred to paper and pencil format, illustrating generalization of knowledge gained. Thus, tablet technology can effectively support early years mathematical skills in developing countries if the software is carefully designed to engage the child in the learning process and the content is grounded in a solid well-constructed curriculum appropriate for the child's developmental stage.

Development of early mathematical skills with a tablet intervention: a randomized control trial in Malawi

PubMed Central

Pitchford, Nicola J.

2015-01-01

Evaluation of educational interventions is necessary prior to wide-scale rollout. Yet very few rigorous studies have been conducted on the effectiveness of tablet-based interventions, especially in the early years and in developing countries. This study reports a randomized control trial to evaluate the effectiveness of a tablet intervention for supporting the development of early mathematical skills in primary school children in Malawi. A total sample of 318 children, spanning Standards 1–3, attending a medium-sized urban primary school, were randomized to one of three groups: maths tablet intervention, non-maths tablet control, and standard face-to-face practice. Children were pre-tested using tablets at the start of the school year on two tests of mathematical knowledge and a range of basic skills related to scholastic progression. Class teachers then delivered the intervention over an 8-weeks period, for the equivalent of 30-min per day. Technical support was provided from the local Voluntary Service Overseas (VSO). Children were then post-tested on the same assessments as given at pre-test. A final sample of 283 children, from Standards 1–3, present at both pre- and post-test, was analyzed to investigate the effectiveness of the maths tablet intervention. Significant effects of the maths tablet intervention over and above standard face-to-face practice or using tablets without the maths software were found in Standards 2 and 3. In Standard 3 the greater learning gains shown by the maths tablet intervention group compared to both of the control groups on the tablet-based assessments transferred to paper and pencil format, illustrating generalization of knowledge gained. Thus, tablet technology can effectively support early years mathematical skills in developing countries if the software is carefully designed to engage the child in the learning process and the content is grounded in a solid well-constructed curriculum appropriate for the child’s developmental stage. PMID:25954236

Integrated Formulation of Beacon-Based Exception Analysis for Multimissions

NASA Technical Reports Server (NTRS)

Mackey, Ryan; James, Mark; Park, Han; Zak, Mickail

2003-01-01

Further work on beacon-based exception analysis for multimissions (BEAM), a method of real-time, automated diagnosis of a complex electromechanical systems, has greatly expanded its capability and suitability of application. This expanded formulation, which fully integrates physical models and symbolic analysis, is described. The new formulation of BEAM expands upon previous advanced techniques for analysis of signal data, utilizing mathematical modeling of the system physics, and expert-system reasoning,

Evaluation of an Integrated Curriculum in Physics, Mathematics, Engineering, and Chemistry

NASA Astrophysics Data System (ADS)

Beichner, Robert

1997-04-01

An experimental, student centered, introductory curriculum called IMPEC (for Integrated Mathematics, Physics, Engineering, and Chemistry curriculum) is in its third year of pilot-testing at NCSU. The curriculum is taught by a multidisciplinary team of professors using a combination of traditional lecturing and alternative instructional methods including cooperative learning, activity-based class sessions, and extensive use of computer modeling, simulations, and the world wide web. This talk will discuss the research basis for our design and implementation of the curriculum, the qualitative and quantitative methods we have been using to assess its effectiveness, and the educational outcomes we have noted so far.

Phoenix Rising: Bringing the Common Core State Mathematics Standards to Life

ERIC Educational Resources Information Center

Wu, Hung-Hsi

2011-01-01

Many sets of state and national mathematics standards have come and gone in the past two decades. The Common Core State Mathematics Standards (CCSMS), which were released in June of 2010, have been adopted by almost all states and will be phased in across the nation in 2014. The main difference between these standards and most of the others is…

Assessing CLIL at Primary School: A Longitudinal Study

ERIC Educational Resources Information Center

Serra, Cecilia

2007-01-01

This paper presents aspects of a longitudinal study assessing integrative bilingual learning based on Content and Language Integrated Learning (CLIL), implemented in three Swiss primary schools. From Grades 1 to 6, three classes of German-speaking pupils were taught 50% of the curriculum, notably mathematics, in Italian or in Romansh as a second…

Integrating Worked Examples into Problem Posing in a Web-Based Learning Environment

ERIC Educational Resources Information Center

Hsiao, Ju-Yuan; Hung, Chun-Ling; Lan, Yu-Feng; Jeng, Yoau-Chau

2013-01-01

Most students always lack of experience and perceive difficult regarding problem posing. The study hypothesized that worked examples may have benefits for supporting students' problem posing activities. A quasi-experiment was conducted in the context of a business mathematics course for examining the effects of integrating worked examples into…

[Mathematical exploration of essence of herbal properties based on "Three-Elements" theory].

PubMed

Jin, Rui; Zhao, Qian; Zhang, Bing

2014-10-01

Herbal property theory of traditional Chinese medicines is the theoretical guidance on authentication of medicinal plants, herborization, preparation of herbal medicines for decoction and clinical application, with important theoretical value and prac- tical significance. Our research team proposed the "three-element" theory for herbal properties for the first time, conducted a study by using combined methods of philology, chemistry, pharmacology and mathematics, and then drew the research conclusion that herbal properties are defined as the chemical compositions-based comprehensive expression with complex and multi-level (positive/negative) biological effects in specific organism state. In this paper, researchers made a systematic mathematical analysis in four aspects--the correlation between herbal properties and chemical component factors, the correlation between herbal properties and organism state fac- tor, the correlation between herbal properties and biological effect factor and the integration study of the three elements, proposed future outlook, and provided reference to mathematical studies and mathematical analysis of herbal properties.

A Math-Box Tale

ERIC Educational Resources Information Center

Nelson, Catherine J.

2012-01-01

The author is a strong proponent of incorporating the Content and Process Standards (NCTM 2000) into the teaching of mathematics. For candidates in her methods course, she models research-based best practices anchored in the Standards. Her students use manipulatives, engage in problem-solving activities, listen to children's literature, and use…

Achieving Standards in a Fiber Optic Mathematics Classroom.

ERIC Educational Resources Information Center

Zbiek, Rose Mary; Foletta, Gina M.

1995-01-01

In response to standards set by the National Council of Teachers of Mathematics, K-12 teachers were interviewed to investigate issues related to implementing standards in K-12 fiber optic mathematics classes. Issues include: achieving student-centered classrooms; incorporating technology into distance education; and structuring assessment so more…

The String Task: Not Just for High School

ERIC Educational Resources Information Center

Isler, Isil; Marum, Tim; Stephens, Ana; Blanton, Maria; Knuth, Eric; Gardiner, Angela Murphy

2014-01-01

The study of functions has traditionally received the most attention at the secondary level, both in curricula and in standards documents--for example, the Common Core State Standards for Mathematics (CCSSI 2010) and "Principles and Standards for School Mathematics" (National Council of Teachers of Mathematics [NCTM] 2000). However, the…

Standards for Reporting Mathematics Professional Development in Research Studies

ERIC Educational Resources Information Center

Sztajn, Paola

2011-01-01

This Research Commentary addresses the need for standards for describing mathematics professional development in mathematics education research reports. Considering that mathematics professional development is an emerging research field, it is timely to set expectations for what constitutes high-quality reporting in this field. (Contains 2 tables.)

Motor-Enriched Learning Activities Can Improve Mathematical Performance in Preadolescent Children.

PubMed

Beck, Mikkel M; Lind, Rune R; Geertsen, Svend S; Ritz, Christian; Lundbye-Jensen, Jesper; Wienecke, Jacob

2016-01-01

Objective: An emerging field of research indicates that physical activity can benefit cognitive functions and academic achievements in children. However, less is known about how academic achievements can benefit from specific types of motor activities (e.g., fine and gross) integrated into learning activities. Thus, the aim of this study was to investigate whether fine or gross motor activity integrated into math lessons (i.e., motor-enrichment) could improve children's mathematical performance. Methods: A 6-week within school cluster-randomized intervention study investigated the effects of motor-enriched mathematical teaching in Danish preadolescent children ( n = 165, age = 7.5 ± 0.02 years). Three groups were included: a control group (CON), which received non-motor enriched conventional mathematical teaching, a fine motor math group (FMM) and a gross motor math group (GMM), which received mathematical teaching enriched with fine and gross motor activity, respectively. The children were tested before (T0), immediately after (T1) and 8 weeks after the intervention (T2). A standardized mathematical test (50 tasks) was used to evaluate mathematical performance. Furthermore, it was investigated whether motor-enriched math was accompanied by different effects in low and normal math performers. Additionally, the study investigated the potential contribution of cognitive functions and motor skills on mathematical performance. Results: All groups improved their mathematical performance from T0 to T1. However, from T0 to T1, the improvement was significantly greater in GMM compared to FMM (1.87 ± 0.71 correct answers) ( p = 0.02). At T2 no significant differences in mathematical performance were observed. A subgroup analysis revealed that normal math-performers benefitted from GMM compared to both CON 1.78 ± 0.73 correct answers ( p = 0.04) and FMM 2.14 ± 0.72 correct answers ( p = 0.008). These effects were not observed in low math-performers. The effects were partly accounted for by visuo-spatial short-term memory and gross motor skills. Conclusion: The study demonstrates that motor enriched learning activities can improve mathematical performance. In normal math performers GMM led to larger improvements than FMM and CON. This was not the case for the low math performers. Future studies should further elucidate the neurophysiological mechanisms underlying the observed behavioral effects.

Motor-Enriched Learning Activities Can Improve Mathematical Performance in Preadolescent Children

PubMed Central

Beck, Mikkel M.; Lind, Rune R.; Geertsen, Svend S.; Ritz, Christian; Lundbye-Jensen, Jesper; Wienecke, Jacob

2016-01-01

Objective: An emerging field of research indicates that physical activity can benefit cognitive functions and academic achievements in children. However, less is known about how academic achievements can benefit from specific types of motor activities (e.g., fine and gross) integrated into learning activities. Thus, the aim of this study was to investigate whether fine or gross motor activity integrated into math lessons (i.e., motor-enrichment) could improve children's mathematical performance. Methods: A 6-week within school cluster-randomized intervention study investigated the effects of motor-enriched mathematical teaching in Danish preadolescent children (n = 165, age = 7.5 ± 0.02 years). Three groups were included: a control group (CON), which received non-motor enriched conventional mathematical teaching, a fine motor math group (FMM) and a gross motor math group (GMM), which received mathematical teaching enriched with fine and gross motor activity, respectively. The children were tested before (T0), immediately after (T1) and 8 weeks after the intervention (T2). A standardized mathematical test (50 tasks) was used to evaluate mathematical performance. Furthermore, it was investigated whether motor-enriched math was accompanied by different effects in low and normal math performers. Additionally, the study investigated the potential contribution of cognitive functions and motor skills on mathematical performance. Results: All groups improved their mathematical performance from T0 to T1. However, from T0 to T1, the improvement was significantly greater in GMM compared to FMM (1.87 ± 0.71 correct answers) (p = 0.02). At T2 no significant differences in mathematical performance were observed. A subgroup analysis revealed that normal math-performers benefitted from GMM compared to both CON 1.78 ± 0.73 correct answers (p = 0.04) and FMM 2.14 ± 0.72 correct answers (p = 0.008). These effects were not observed in low math-performers. The effects were partly accounted for by visuo-spatial short-term memory and gross motor skills. Conclusion: The study demonstrates that motor enriched learning activities can improve mathematical performance. In normal math performers GMM led to larger improvements than FMM and CON. This was not the case for the low math performers. Future studies should further elucidate the neurophysiological mechanisms underlying the observed behavioral effects. PMID:28066215

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

ERIC Educational Resources Information Center

Chonkaew, Patcharee; Sukhummek, Boonnak; Faikhamta, Chatree

2016-01-01

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

A study of structural properties of gene network graphs for mathematical modeling of integrated mosaic gene networks.

PubMed

Petrovskaya, Olga V; Petrovskiy, Evgeny D; Lavrik, Inna N; Ivanisenko, Vladimir A

2017-04-01

Gene network modeling is one of the widely used approaches in systems biology. It allows for the study of complex genetic systems function, including so-called mosaic gene networks, which consist of functionally interacting subnetworks. We conducted a study of a mosaic gene networks modeling method based on integration of models of gene subnetworks by linear control functionals. An automatic modeling of 10,000 synthetic mosaic gene regulatory networks was carried out using computer experiments on gene knockdowns/knockouts. Structural analysis of graphs of generated mosaic gene regulatory networks has revealed that the most important factor for building accurate integrated mathematical models, among those analyzed in the study, is data on expression of genes corresponding to the vertices with high properties of centrality.

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…

A Study of the Relationship between the ACT College Mathematics Readiness Standard and College Mathematics Achievement

ERIC Educational Resources Information Center

Harwell, Michael; Moreno, Mario; Post, Thomas

2016-01-01

This study examined the relationship between the American College Testing (ACT) college mathematics readiness standard and college mathematics achievement using a sample of students who met or exceeded the minimum 3 years high school mathematics coursework recommended by ACT. According to ACT, a student who scores 22 or higher on the ACT…

A Comparative Study of the Empirical Relationship in Student Performance between Physics and Other STEM Subjects

NASA Astrophysics Data System (ADS)

Guerra, Maricela

The Next Generation Science Standards (NGSS) advocated by the National Research Council emphasize the connections among Science, Technology, Engineering, and Mathematics (STEM) disciplines. By design, NGSS is expected to replace the previous science education standards to enhance the quality of STEM education across the nation. To support this initiative, this investigation was conducted to fill a void in the research literature by developing an empirical indicator for the relationship of student performance across STEM subjects using a large-scale database from the Trends in Mathematics and Science Study (TIMSS). In particular, an innovative approach has been taken in this study to support the canonical correlation analysis of student plausible scores between physics and other STEM subjects at different grade levels and in a cross-country context. Results from this doctoral research revealed the need to strengthen the alignment between the intended, implemented, and attained curricula to support the integration of STEM disciplines in the United States.

Vita Mathematica: Historical Research and Integration with Teaching. Mathematical Association of America Notes Series, No. 40.

ERIC Educational Resources Information Center

Calinger, Ronald, Ed.

This book brings together papers by scholars from around the globe on the historiography and history of mathematics and their integration with mathematical pedagogy. Of the three articles in Part 1, "Historiography and Sources", one identifies research trends in the history of mathematics, the second discusses the centrality of problems, and the…

The Opinions of Middle School Mathematics Teachers on the Integration of Mathematics Course and Social Issues

ERIC Educational Resources Information Center

Turhan Turkkan, Buket; Karakus, Memet

2018-01-01

The purpose of this study is to examine the opinions of middle school mathematics teachers on the integration of mathematics course and social issues. For this purpose, qualitative research method was used in this study. As for determining the participants of the research, criterion sampling among purposeful sampling methods was used. Being a…

Deformed Calogero-Sutherland model and fractional quantum Hall effect

NASA Astrophysics Data System (ADS)

Atai, Farrokh; Langmann, Edwin

2017-01-01

The deformed Calogero-Sutherland (CS) model is a quantum integrable system with arbitrary numbers of two types of particles and reducing to the standard CS model in special cases. We show that a known collective field description of the CS model, which is based on conformal field theory (CFT), is actually a collective field description of the deformed CS model. This provides a natural application of the deformed CS model in Wen's effective field theory of the fractional quantum Hall effect (FQHE), with the two kinds of particles corresponding to electrons and quasi-hole excitations. In particular, we use known mathematical results about super-Jack polynomials to obtain simple explicit formulas for the orthonormal CFT basis proposed by van Elburg and Schoutens in the context of the FQHE.

Structurally Sound Statistics Instruction

ERIC Educational Resources Information Center

Casey, Stephanie A.; Bostic, Jonathan D.

2016-01-01

The Common Core's Standards for Mathematical Practice (SMP) call for all K-grade 12 students to develop expertise in the processes and proficiencies of doing mathematics. However, the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) as a whole addresses students' learning of not only mathematics but also statistics. This situation…

Mathematical Communication in the Classroom: A Teacher Makes a Difference

ERIC Educational Resources Information Center

Cooke, Bessie Davis; Buchholz, Dilek

2005-01-01

The National Council of Teachers of Mathematics (NCTM) states that "Communication is an essential part of mathematics and mathematics education" (2000, p. 60). In fact, communication is one of the five process standards emphasized by NCTM. The communication standard highlights the importance of young children communicating their mathematical…

Missing the Promise of Mathematical Modeling

ERIC Educational Resources Information Center

Meyer, Dan

2015-01-01

The Common Core State Standards for Mathematics (CCSSM) have exerted enormous pressure on every participant in a child's education. Students are struggling to meet new standards for mathematics learning, and parents are struggling to understand how to help them. Teachers are growing in their capacity to develop new mathematical competencies, and…

NCTM Principles and Standards for Mathematically Talented Students

ERIC Educational Resources Information Center

Deal, Linda J.; Wismer, Michael G.

2010-01-01

The "Principles and Standards for School Mathematics" published in 2000 by the National Council of Teachers of Mathematics (NCTM) created a vision of mathematical concepts and processes to establish core educational guidelines for instruction from grades K to 12. The overall plan does emphasize higher level thinking, problem solving, and…

Stabilized FE simulation of prototype thermal-hydraulics problems with integrated adjoint-based capabilities

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

Shadid, J. N.; Smith, T. M.; Cyr, E. C.

A critical aspect of applying modern computational solution methods to complex multiphysics systems of relevance to nuclear reactor modeling, is the assessment of the predictive capability of specific proposed mathematical models. The understanding of numerical error, the sensitivity of the solution to parameters associated with input data, boundary condition uncertainty, and mathematical models is critical. Additionally, the ability to evaluate and or approximate the model efficiently, to allow development of a reasonable level of statistical diagnostics of the mathematical model and the physical system, is of central importance. In our study we report on initial efforts to apply integrated adjoint-basedmore » computational analysis and automatic differentiation tools to begin to address these issues. The study is carried out in the context of a Reynolds averaged Navier–Stokes approximation to turbulent fluid flow and heat transfer using a particular spatial discretization based on implicit fully-coupled stabilized FE methods. We present the initial results that show the promise of these computational techniques in the context of nuclear reactor relevant prototype thermal-hydraulics problems.« less

Stabilized FE simulation of prototype thermal-hydraulics problems with integrated adjoint-based capabilities

DOE PAGES

Shadid, J. N.; Smith, T. M.; Cyr, E. C.; ...

2016-05-20

A critical aspect of applying modern computational solution methods to complex multiphysics systems of relevance to nuclear reactor modeling, is the assessment of the predictive capability of specific proposed mathematical models. The understanding of numerical error, the sensitivity of the solution to parameters associated with input data, boundary condition uncertainty, and mathematical models is critical. Additionally, the ability to evaluate and or approximate the model efficiently, to allow development of a reasonable level of statistical diagnostics of the mathematical model and the physical system, is of central importance. In our study we report on initial efforts to apply integrated adjoint-basedmore » computational analysis and automatic differentiation tools to begin to address these issues. The study is carried out in the context of a Reynolds averaged Navier–Stokes approximation to turbulent fluid flow and heat transfer using a particular spatial discretization based on implicit fully-coupled stabilized FE methods. We present the initial results that show the promise of these computational techniques in the context of nuclear reactor relevant prototype thermal-hydraulics problems.« less

Role Playing Based on Multicultural for Understanding Fraction in Primary School

NASA Astrophysics Data System (ADS)

Aryanto, S.; Budiarti, T.; Rahmatullah, R.; Utami, S. R.; Jupri, A.

2017-09-01

Multicultural serve as a reference in the development of innovative mathematical learning materials and is expected to be a solution in improving the ability of students in understanding the fraction matter based on social and mathematical approach, so this study aims to determine the improvement of students’ understanding in fraction matter through role playing by integrating multicultural concepts as development learning content. Classroom Action Research conducted on 34 students in elementary school class proves that students’ understanding in fraction matter shows improvement in cycle II as much as 67% of students are able to apply the concept or formula exactly when compared with the result of cycles I of 33%. This research is expected to be the reference of teachers in developing innovative mathematical learning, let alone explicitly, this concept not only emphasizes the cognitive abilities of students, but implicitly can develop their social skills in mathematical perspective.

Predictors of Information Technology Integration in Secondary Schools: Evidence from a Large Scale Study of More than 30,000 Students

PubMed Central

Hew, Khe Foon; Tan, Cheng Yong

2016-01-01

The present study examined the predictors of information technology (IT) integration in secondary school mathematics lessons. The predictors pertained to IT resource availability in schools, school contextual/institutional variables, accountability pressure faced by schools, subject culture in mathematics, and mathematics teachers’ pedagogical beliefs and practices. Data from 32,256 secondary school students from 2,519 schools in 16 developed economies who participated in the Program for International Student Assessment (PISA) 2012 were analyzed using hierarchical linear modeling (HLM). Results showed that after controlling for student-level (gender, prior academic achievement and socioeconomic status) and school-level (class size, number of mathematics teachers) variables, students in schools with more computers per student, with more IT resources, with higher levels of IT curricular expectations, with an explicit policy on the use of IT in mathematics, whose teachers believed in student-centered teaching-learning, and whose teachers provided more problem-solving activities in class reported higher levels of IT integration. On the other hand, students who studied in schools with more positive teacher-related school learning climate, and with more academically demanding parents reported lower levels of IT integration. Student-related school learning climate, principal leadership behaviors, schools’ public posting of achievement data, tracking of school’s achievement data by administrative authorities, and pedagogical and curricular differentiation in mathematics lessons were not related to levels of IT integration. Put together, the predictors explained a total of 15.90% of the school-level variance in levels of IT integration. In particular, school IT resource availability, and mathematics teachers’ pedagogical beliefs and practices stood out as the most important determinants of IT integration in mathematics lessons. PMID:27997593

Predictors of Information Technology Integration in Secondary Schools: Evidence from a Large Scale Study of More than 30,000 Students.

PubMed

Hew, Khe Foon; Tan, Cheng Yong

2016-01-01

The present study examined the predictors of information technology (IT) integration in secondary school mathematics lessons. The predictors pertained to IT resource availability in schools, school contextual/institutional variables, accountability pressure faced by schools, subject culture in mathematics, and mathematics teachers' pedagogical beliefs and practices. Data from 32,256 secondary school students from 2,519 schools in 16 developed economies who participated in the Program for International Student Assessment (PISA) 2012 were analyzed using hierarchical linear modeling (HLM). Results showed that after controlling for student-level (gender, prior academic achievement and socioeconomic status) and school-level (class size, number of mathematics teachers) variables, students in schools with more computers per student, with more IT resources, with higher levels of IT curricular expectations, with an explicit policy on the use of IT in mathematics, whose teachers believed in student-centered teaching-learning, and whose teachers provided more problem-solving activities in class reported higher levels of IT integration. On the other hand, students who studied in schools with more positive teacher-related school learning climate, and with more academically demanding parents reported lower levels of IT integration. Student-related school learning climate, principal leadership behaviors, schools' public posting of achievement data, tracking of school's achievement data by administrative authorities, and pedagogical and curricular differentiation in mathematics lessons were not related to levels of IT integration. Put together, the predictors explained a total of 15.90% of the school-level variance in levels of IT integration. In particular, school IT resource availability, and mathematics teachers' pedagogical beliefs and practices stood out as the most important determinants of IT integration in mathematics lessons.

Introducing geometry concept based on history of Islamic geometry

NASA Astrophysics Data System (ADS)

Maarif, S.; Wahyudin; Raditya, A.; Perbowo, K. S.

2018-01-01

Geometry is one of the areas of mathematics interesting to discuss. Geometry also has a long history in mathematical developments. Therefore, it is important integrated historical development of geometry in the classroom to increase’ knowledge of how mathematicians earlier finding and constructing a geometric concept. Introduction geometrical concept can be started by introducing the Muslim mathematician who invented these concepts so that students can understand in detail how a concept of geometry can be found. However, the history of mathematics development, especially history of Islamic geometry today is less popular in the world of education in Indonesia. There are several concepts discovered by Muslim mathematicians that should be appreciated by the students in learning geometry. Great ideas of mathematicians Muslim can be used as study materials to supplement religious character values taught by Muslim mathematicians. Additionally, by integrating the history of geometry in teaching geometry are expected to improve motivation and geometrical understanding concept.

Linear Water Waves

NASA Astrophysics Data System (ADS)

Kuznetsov, N.; Maz'ya, V.; Vainberg, B.

2002-08-01

This book gives a self-contained and up-to-date account of mathematical results in the linear theory of water waves. The study of waves has many applications, including the prediction of behavior of floating bodies (ships, submarines, tension-leg platforms etc.), the calculation of wave-making resistance in naval architecture, and the description of wave patterns over bottom topography in geophysical hydrodynamics. The first section deals with time-harmonic waves. Three linear boundary value problems serve as the approximate mathematical models for these types of water waves. The next section uses a plethora of mathematical techniques in the investigation of these three problems. The techniques used in the book include integral equations based on Green's functions, various inequalities between the kinetic and potential energy and integral identities which are indispensable for proving the uniqueness theorems. The so-called inverse procedure is applied to constructing examples of non-uniqueness, usually referred to as 'trapped nodes.'

The Journey Begins: First Year Activities of the MUSI Mathematics/Science Resource Teachers. A Report on the Milwaukee Urban Systemic Initiative.

ERIC Educational Resources Information Center

Huinker, DeAnn; Pearson, Gretchen

The Urban Systemic Initiatives (USI) program is an effort sponsored by the National Science Foundation (NSF) that targets large urban school systems with the goal of sustainable implementation of high-quality, standards-based teaching for the purpose of attaining system-wide increases in students' learning of challenging mathematics and science.…

Predicting Student Performance in Statewide High-Stakes Tests for Middle School Mathematics Using the Results from Third Party Testing Instruments

ERIC Educational Resources Information Center

Meylani, Rusen; Bitter, Gary G.; Castaneda, Rene

2014-01-01

In this study regression and neural networks based methods are used to predict statewide high-stakes test results for middle school mathematics using the scores obtained from third party tests throughout the school year. Such prediction is of utmost significance for school districts to live up to the state's educational standards mandated by the…

A Five-Year Study of the First Edition of the Core-Plus Mathematics Curriculum

ERIC Educational Resources Information Center

Schoen, Harold, Ed.; Ziebarth, Steven W., Ed.; Hirsch, Christian R., Ed.; BrckaLorenz, Allison, Ed.

2010-01-01

The study reported in this volume adds to the growing body of evaluation studies that focus on the use of NSF-funded Standards-based high school mathematics curricula. Most previous evaluations have studied the impact of field-test versions of a curriculum. Since these innovative curricula were so new at the time of many of these studies, students…

Developmental Relations Among Motor and Cognitive Processes and Mathematics Skills.

PubMed

Kim, Helyn; Duran, Chelsea A K; Cameron, Claire E; Grissmer, David

2018-03-01

This study explored transactional associations among visuomotor integration, attention, fine motor coordination, and mathematics skills in a diverse sample of one hundred thirty-five 5-year-olds (kindergarteners) and one hundred nineteen 6-year-olds (first graders) in the United States who were followed over the course of 2 school years. Associations were dynamic, with more reciprocal transactions occurring in kindergarten than in the later grades. Specifically, visuomotor integration and mathematics exhibited ongoing reciprocity in kindergarten and first grade, attention contributed to mathematics in kindergarten and first grade, mathematics contributed to attention across the kindergarten year only, and fine motor coordination contributed to mathematics indirectly, through visuomotor integration, across kindergarten and first grade. Implications of examining the hierarchical interrelations among processes underlying the development of children's mathematics skills are discussed. © 2017 The Authors. Child Development © 2017 Society for Research in Child Development, Inc.

Antioxidant Capacity: Experimental Determination by EPR Spectroscopy and Mathematical Modeling.

PubMed

Polak, Justyna; Bartoszek, Mariola; Chorążewski, Mirosław

2015-07-22

A new method of determining antioxidant capacity based on a mathematical model is presented in this paper. The model was fitted to 1000 data points of electron paramagnetic resonance (EPR) spectroscopy measurements of various food product samples such as tea, wine, juice, and herbs with Trolox equivalent antioxidant capacity (TEAC) values from 20 to 2000 μmol TE/100 mL. The proposed mathematical equation allows for a determination of TEAC of food products based on a single EPR spectroscopy measurement. The model was tested on the basis of 80 EPR spectroscopy measurements of herbs, tea, coffee, and juice samples. The proposed model works for both strong and weak antioxidants (TEAC values from 21 to 2347 μmol TE/100 mL). The determination coefficient between TEAC values obtained experimentally and TEAC values calculated with proposed mathematical equation was found to be R(2) = 0.98. Therefore, the proposed new method of TEAC determination based on a mathematical model is a good alternative to the standard EPR method due to its being fast, accurate, inexpensive, and simple to perform.

The State of State Standards--and the Common Core--in 2010

ERIC Educational Resources Information Center

Carmichael, Sheila Byrd; Martino, Gabrielle; Porter-Magee, Kathleen; Wilson, W. Stephen

2010-01-01

This review of state English language arts (ELA) and mathematics standards is the latest in a series of Fordham evaluations dating back to 1997. It comes at a critical juncture, as states across the land consider adoption of the Common Core State Standards. These are the authors' major findings: (1) Based on their criteria, the Common Core…

Learning by Experience in a Standardized Testing Culture: Investigation of a Middle School Experiential Learning Program

ERIC Educational Resources Information Center

Scogin, Stephen C.; Kruger, Christopher J.; Jekkals, Regan E.; Steinfeldt, Chelsea

2017-01-01

Standardized testing pressure sometimes discourages schools from broadly implementing experiential learning opportunities. However, some K-12 schools are challenging the trend with greater commitment to learning by experience. STREAM (science, technology, reading, engineering, arts, mathematics) school is a project-based program providing students…

Modeling in the Common Core State Standards

ERIC Educational Resources Information Center

Tam, Kai Chung

2011-01-01

The inclusion of modeling and applications into the mathematics curriculum has proven to be a challenging task over the last fifty years. The Common Core State Standards (CCSS) has made mathematical modeling both one of its Standards for Mathematical Practice and one of its Conceptual Categories. This article discusses the need for mathematical…

New Standards Require Teaching More Statistics: Are Preservice Secondary Mathematics Teachers Ready?

ERIC Educational Resources Information Center

Lovett, Jennifer N.; Lee, Hollylynne S.

2017-01-01

Mathematics teacher education programs often need to respond to changing expectations and standards for K-12 curriculum and accreditation. New standards for high school mathematics in the United States include a strong emphasis in statistics. This article reports results from a mixed methods cross-institutional study examining the preparedness of…

Personalizing oncology treatments by predicting drug efficacy, side-effects, and improved therapy: mathematics, statistics, and their integration.

PubMed

Agur, Zvia; Elishmereni, Moran; Kheifetz, Yuri

2014-01-01

Despite its great promise, personalized oncology still faces many hurdles, and it is increasingly clear that targeted drugs and molecular biomarkers alone yield only modest clinical benefit. One reason is the complex relationships between biomarkers and the patient's response to drugs, obscuring the true weight of the biomarkers in the overall patient's response. This complexity can be disentangled by computational models that integrate the effects of personal biomarkers into a simulator of drug-patient dynamic interactions, for predicting the clinical outcomes. Several computational tools have been developed for personalized oncology, notably evidence-based tools for simulating pharmacokinetics, Bayesian-estimated tools for predicting survival, etc. We describe representative statistical and mathematical tools, and discuss their merits, shortcomings and preliminary clinical validation attesting to their potential. Yet, the individualization power of mathematical models alone, or statistical models alone, is limited. More accurate and versatile personalization tools can be constructed by a new application of the statistical/mathematical nonlinear mixed effects modeling (NLMEM) approach, which until recently has been used only in drug development. Using these advanced tools, clinical data from patient populations can be integrated with mechanistic models of disease and physiology, for generating personal mathematical models. Upon a more substantial validation in the clinic, this approach will hopefully be applied in personalized clinical trials, P-trials, hence aiding the establishment of personalized medicine within the main stream of clinical oncology. © 2014 Wiley Periodicals, Inc.

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

NASA Astrophysics Data System (ADS)

García-García, Javier; Dolores-Flores, Crisólogo

2018-02-01

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

Integrating Mathematics into the Introductory Biology Laboratory Course

ERIC Educational Resources Information Center

White, James D.; Carpenter, Jenna P.

2008-01-01

Louisiana Tech University has an integrated science curriculum for its mathematics, chemistry, physics, computer science, biology-research track and secondary mathematics and science education majors. The curriculum focuses on the calculus sequence and introductory labs in biology, physics, and chemistry. In the introductory biology laboratory…

Preservice Teachers' Perceptions about Teaching Mathematics through Music

ERIC Educational Resources Information Center

An, Song A.; Tillman, Daniel; Shaheen, Andrea; Boren, Rachel

2014-01-01

This study examined preservice teachers' perceptions about teaching elementary level mathematics lessons integrated with music. It also sought to determine how preservice teachers would strategize the integration of music activities when introducing elementary level mathematics lessons. The participants, 53 undergraduate preservice teachers at a…

Integration of bioinformatics into an undergraduate biology curriculum and the impact on development of mathematical skills.

PubMed

Wightman, Bruce; Hark, Amy T

2012-01-01

The development of fields such as bioinformatics and genomics has created new challenges and opportunities for undergraduate biology curricula. Students preparing for careers in science, technology, and medicine need more intensive study of bioinformatics and more sophisticated training in the mathematics on which this field is based. In this study, we deliberately integrated bioinformatics instruction at multiple course levels into an existing biology curriculum. Students in an introductory biology course, intermediate lab courses, and advanced project-oriented courses all participated in new course components designed to sequentially introduce bioinformatics skills and knowledge, as well as computational approaches that are common to many bioinformatics applications. In each course, bioinformatics learning was embedded in an existing disciplinary instructional sequence, as opposed to having a single course where all bioinformatics learning occurs. We designed direct and indirect assessment tools to follow student progress through the course sequence. Our data show significant gains in both student confidence and ability in bioinformatics during individual courses and as course level increases. Despite evidence of substantial student learning in both bioinformatics and mathematics, students were skeptical about the link between learning bioinformatics and learning mathematics. While our approach resulted in substantial learning gains, student "buy-in" and engagement might be better in longer project-based activities that demand application of skills to research problems. Nevertheless, in situations where a concentrated focus on project-oriented bioinformatics is not possible or desirable, our approach of integrating multiple smaller components into an existing curriculum provides an alternative. Copyright © 2012 Wiley Periodicals, Inc.

IBM techexplorer and MathML: Interactive Multimodal Scientific Documents

NASA Astrophysics Data System (ADS)

Diaz, Angel

2001-06-01

The World Wide Web provides a standard publishing platform for disseminating scientific and technical articles, books, journals, courseware, or even homework on the internet; however, the transition from paper to web-based interactive content has brought new opportunities for creating interactive content. Students, scientists, and engineers are now faced with the task of rendering the 2D presentational structure of mathematics, harnessing the wealth of scientific and technical software, and creating truly accessible scientific portals across international boundaries and markets. The recent emergence of World Wide Web Consortium (W3C) standards such as the Mathematical Markup Language (MathML), Language (XSL), and Aural CSS (ACSS) provide a foundation whereby mathematics can be displayed, enlivened, computed, and audio formatted. With interoperability ensured by standards, software applications can be easily brought together to create extensible and interactive scientific content. In this presentation we will provide an overview of the IBM techexplorer Hypermedia Browser, a web browser plug-in and ActiveX control aimed at bringing interactive mathematics to the masses across platforms and applications. We will demonstrate "live" mathematics where documents that contain MathML expressions can be edited and computed right inside your favorite web browser. This demonstration will be generalized as we show how MathML can be used to enliven even PowerPoint presentations. Finally, we will close the loop by demonstrating a novel approach to spoken mathematics based on MathML, DOM, XSL, ACSS, techexplorer, and IBM ViaVoice. By making use of techexplorer as the glue that binds the rendered content to the web browser, the back-end computation software, the Java applets that augment the exposition, and voice-rendering systems such as ViaVoice, authors can indeed create truly extensible and interactive scientific content. For more information see: [http://www.software.ibm.com/techexplorer] [http://www.alphaworks.ibm.com] [http://www.w3.org

The Views of Mathematics Teachers on the Factors Affecting the Integration of Technology in Mathematics Courses

ERIC Educational Resources Information Center

Kaleli-Yilmaz, Gül

2015-01-01

The aim of this study was to determine the views of mathematics teachers on the factors that affect the integration of technology in mathematic courses. It is a qualitative case study. The sample size of the study is 10 teachers who are receiving postgraduate education in a university in Turkey. The current study was conducted in three stages. At…

The Intersection of Inquiry-Based Science and Language: Preparing Teachers for ELL Classrooms

NASA Astrophysics Data System (ADS)

Weinburgh, Molly; Silva, Cecilia; Smith, Kathy Horak; Groulx, Judy; Nettles, Jenesta

2014-08-01

As teacher educators, we are tasked with preparing prospective teachers to enter a field that has undergone significant changes in student population and policy since we were K-12 teachers. With the emphasis placed on connections, mathematics integration, and communication by the New Generation Science Standards (NGSS) (Achieve in Next generation science standards, 2012), more research is needed on how teachers can accomplish this integration (Bunch in Rev Res Educ 37:298-341, 2013; Lee et al. in Educ Res 42(4):223-233, 2013). Science teacher educators, in response to the NGSS, recognize that it is necessary for pre-service and in-service teachers to know more about how instructional strategies in language and science can complement one another. Our purpose in this study was to explore a model of integration that can be used in classrooms. To do this, we examined the change in science content knowledge and academic vocabulary for English language learners (ELLs) as they engaged in inquiry-based science experience utilizing the 5R Instructional Model. Two units, erosion and wind turbines, were developed using the 5R Instructional Model and taught during two different years in a summer school program for ELLs. We analyzed data from interviews to assess change in conceptual understanding and science academic vocabulary over the 60 h of instruction. The statistics show a clear trend of growth supporting our claim that ELLs did construct more sophisticated understanding of the topics and use more language to communicate their knowledge. As science teacher educators seek ways to prepare elementary teachers to help preK-12 students to learn science and develop the language of science, the 5R Instructional Model is one pathway.

A Study of Prospective Secondary Mathematics Teachers' Evolving Understanding of Reasoning-and-Proving

ERIC Educational Resources Information Center

Boyle, Justin D.

2012-01-01

Proof is a foundational mathematical activity that has been underrepresented in school mathematics. The recently adopted Common Core State Standards in Mathematics includes eight process standards, several of which promote the inclusion of reasoning and proof across all grades, courses, and students. If students are to reach the expectations…

Mathematically Rich, Investigative Tasks for Teaching Algebra

ERIC Educational Resources Information Center

Day, Lorraine

2015-01-01

A challenge for teachers is to incorporate the Standards for Mathematical Practice (CCSSI 2010) throughout their teaching of mathematics so that the Common Core Standards do not revert back to a purely content-driven curriculum. One way to achieve this is through the use of mathematically rich, investigative tasks. These tasks encourage students…

Establishing and Sustaining an Effective Pre-Kindergarten Math Intervention at Scale

ERIC Educational Resources Information Center

Klein, Alice; Starkey, Prentice; DeFlorio, Lydia; Brown, E. Todd

2012-01-01

Educators are increasingly concerned about the low level of mathematics performance of U.S. students on the TIMSS and other international assessments of mathematics (National Mathematics Advisory Panel, 2008) as well as their insufficient preparation for mathematics standards, such as the Common Core State Standards. Students from low-income and…

Fracking: Drilling into Math and Social Justice

ERIC Educational Resources Information Center

Hendrickson, Katie A.

2015-01-01

Mathematical modeling, a focus of the Common Core State Standards for School Mathematics (CCSSI 2010) and one of the Standards for Mathematical Practice, is generally considered to be the process of exploring a real-world situation and making sense of it using mathematics (Lesh and Zawojewski 2007). Teachers need to create opportunities for…

MIST: An Open Source Environmental Modelling Programming Language Incorporating Easy to Use Data Parallelism.

NASA Astrophysics Data System (ADS)

Bellerby, Tim

2014-05-01

Model Integration System (MIST) is open-source environmental modelling programming language that directly incorporates data parallelism. The language is designed to enable straightforward programming structures, such as nested loops and conditional statements to be directly translated into sequences of whole-array (or more generally whole data-structure) operations. MIST thus enables the programmer to use well-understood constructs, directly relating to the mathematical structure of the model, without having to explicitly vectorize code or worry about details of parallelization. A range of common modelling operations are supported by dedicated language structures operating on cell neighbourhoods rather than individual cells (e.g.: the 3x3 local neighbourhood needed to implement an averaging image filter can be simply accessed from within a simple loop traversing all image pixels). This facility hides details of inter-process communication behind more mathematically relevant descriptions of model dynamics. The MIST automatic vectorization/parallelization process serves both to distribute work among available nodes and separately to control storage requirements for intermediate expressions - enabling operations on very large domains for which memory availability may be an issue. MIST is designed to facilitate efficient interpreter based implementations. A prototype open source interpreter is available, coded in standard FORTRAN 95, with tools to rapidly integrate existing FORTRAN 77 or 95 code libraries. The language is formally specified and thus not limited to FORTRAN implementation or to an interpreter-based approach. A MIST to FORTRAN compiler is under development and volunteers are sought to create an ANSI-C implementation. Parallel processing is currently implemented using OpenMP. However, parallelization code is fully modularised and could be replaced with implementations using other libraries. GPU implementation is potentially possible.

Stochastic calibration and learning in nonstationary hydroeconomic models

NASA Astrophysics Data System (ADS)

Maneta, M. P.; Howitt, R.

2014-05-01

Concern about water scarcity and adverse climate events over agricultural regions has motivated a number of efforts to develop operational integrated hydroeconomic models to guide adaptation and optimal use of water. Once calibrated, these models are used for water management and analysis assuming they remain valid under future conditions. In this paper, we present and demonstrate a methodology that permits the recursive calibration of economic models of agricultural production from noisy but frequently available data. We use a standard economic calibration approach, namely positive mathematical programming, integrated in a data assimilation algorithm based on the ensemble Kalman filter equations to identify the economic model parameters. A moving average kernel ensures that new and past information on agricultural activity are blended during the calibration process, avoiding loss of information and overcalibration for the conditions of a single year. A regularization constraint akin to the standard Tikhonov regularization is included in the filter to ensure its stability even in the presence of parameters with low sensitivity to observations. The results show that the implementation of the PMP methodology within a data assimilation framework based on the enKF equations is an effective method to calibrate models of agricultural production even with noisy information. The recursive nature of the method incorporates new information as an added value to the known previous observations of agricultural activity without the need to store historical information. The robustness of the method opens the door to the use of new remote sensing algorithms for operational water management.

The integrated contaminant elution and tracer test toolkit, ICET3, for improved characterization of mass transfer, attenuation, and mass removal

NASA Astrophysics Data System (ADS)

Brusseau, Mark L.; Guo, Zhilin

2018-01-01

It is evident based on historical data that groundwater contaminant plumes persist at many sites, requiring costly long-term management. High-resolution site-characterization methods are needed to support accurate risk assessments and to select, design, and operate effective remediation operations. Most subsurface characterization methods are generally limited in their ability to provide unambiguous, real-time delineation of specific processes affecting mass-transfer, transformation, and mass removal, and accurate estimation of associated rates. An integrated contaminant elution and tracer test toolkit, comprising a set of local-scale groundwater extraction-and injection tests, was developed to ameliorate the primary limitations associated with standard characterization methods. The test employs extended groundwater extraction to stress the system and induce hydraulic and concentration gradients. Clean water can be injected, which removes the resident aqueous contaminant mass present in the higher-permeability zones and isolates the test zone from the surrounding plume. This ensures that the concentrations and fluxes measured within the isolated area are directly and predominantly influenced by the local mass-transfer and transformation processes controlling mass removal. A suite of standard and novel tracers can be used to delineate specific mass-transfer and attenuation processes that are active at a given site, and to quantify the associated mass-transfer and transformation rates. The conceptual basis for the test is first presented, followed by an illustrative application based on simulations produced with a 3-D mathematical model and a brief case study application.

Mathematics and Computer Science: Exploring a Symbiotic Relationship

ERIC Educational Resources Information Center

Bravaco, Ralph; Simonson, Shai

2004-01-01

This paper describes a "learning community" designed for sophomore computer science majors who are simultaneously studying discrete mathematics. The learning community consists of three courses: Discrete Mathematics, Data Structures and an Integrative Seminar/Lab. The seminar functions as a link that integrates the two disciplines. Participation…