Relevant bibliographies by topics / Non routine mathematical problems

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Non routine mathematical problems'

Author: Grafiati
Published: 4 June 2021
Last updated: 5 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Non routine mathematical problems.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Non routine mathematical problems"

1

Murdiyani, N. M. "Developing non-routine problems for assessing students’ mathematical literacy." Journal of Physics: Conference Series 983 (March 2018): 012115. http://dx.doi.org/10.1088/1742-6596/983/1/012115.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Santo-Trigo, M. "Can routine problems be transformed into non-routine problems?" Teaching Mathematics and its Applications 17, no. 3 (1998): 132–35. http://dx.doi.org/10.1093/teamat/17.3.132.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Abdullah, Abdul Halim, Sharifah Nurarfah S. Abd Rahman, and Mohd Hilmi Hamzah. "Metacognitive Skills of Malaysian Students in Non-Routine Mathematical Problem Solving." Bolema: Boletim de Educação Matemática 31, no. 57 (2017): 310–22. http://dx.doi.org/10.1590/1980-4415v31n57a15.

Full text
Abstract:
Abstract Metacognitive skills play an important role in solving mathematical problems. However, there is a lack of empirical studies on the role of metacognitive skills in solving mathematical problems, particularly non-routine ones. Therefore, this study was undertaken to identify students' metacognitive skills and the impact of such skills on non-routine mathematical problem solving. By using a quantitative method, a total of 304 students in Johor Bahru district were involved in the study. A Self-Monitoring Questionnaire (SMQ) and a mathematical test were used in data collection. Data were analysed using descriptive and inferential statistics such as frequency, percentage, mean, the Mann-Whitney U test, and the Kruskal-Wallis H test. Results showed that the level of the students' performance in solving non-routine mathematical problems was very low. There was also a significant difference in the metacognitive skills among students with different performance levels in solving non-routine mathematical problems, and we concluded that these metacognitive skills should be emphasised in this process.
APA, Harvard, Vancouver, ISO, and other styles
4

Abdurrahman, Muhammad Sani. "Pupil’s Behaviour Pattern and Non-Routine Mathematical Problem-Solving Strategy based on Multiple Intelligences." Journal of Advanced Research in Dynamical and Control Systems 12, no. 3 (2020): 466–85. http://dx.doi.org/10.5373/jardcs/v12i3/20201214.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Rahmah, Dinda Amalia, and Rini Setianingsih. "ANALYSIS OF STUDENTS’ STATISTICAL REASONING IN SOLVING NON-ROUTINE PROBLEMS." MATHEdunesa 9, no. 1 (2020): 30–34. http://dx.doi.org/10.26740/mathedunesa.v9n1.p30-34.

Full text
Abstract:
Statistical reasoning is needed by students to understanding statistical concepts and problems. Students’ efforts in understanding statistical information and problems often involve statistical process, namely the process of organizing and reducing data and the process of analyzing and interpreting data. This research is descriptive study with qualitative approach that aims to analyze and describe the senior high school students’ statistical reasoning in solving non-routine problems. The subjects in this study were three high school students of grade XII who have same sex and have equivalent mathematical abilities. The instruments used in this study consisted of the Mathematical Ability Test (MAT), the Statistical Reasoning Test (SRT), and interview guidlines. The results showed that students who have low mathematical ability are also reach low level in statistical reasoning. In solving problem related to process of organizing and reducing data, the students reached level 1 and level 2 in statistical reasoning, because the students determine the mode value using incorrect concepts and ways, that are input the data to the mode formula incorrectly, determining the mode value of data which are presented in the frequency distribution table just by looking at frequency column, and cannot combine and sort the data in percent form correctly. In solving the problem related to the process of analyzing and interpreting data, the students reached level 1 in statistical reasoning, because they cannot interpret the tendency of two data groups, so the response which are given is incorrect. Keywords: statistics, statistical process, statistical reasoning.
APA, Harvard, Vancouver, ISO, and other styles
6

Indaryanti, I., N. Aisyah, S. Winarni, and P. Astuti. "On values in non-routine mathematical problems for senior high school students." Journal of Physics: Conference Series 1166 (February 2019): 012022. http://dx.doi.org/10.1088/1742-6596/1166/1/012022.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Leton, Samuel Igo, Meryani Lakapu, and Wilfridus Beda Nuba Dosinaeng. "Mathematical problem-solving abilities of deaf student in solving non-routine problems." Math Didactic: Jurnal Pendidikan Matematika 5, no. 2 (2019): 157–67. http://dx.doi.org/10.33654/math.v5i2.538.

Full text
Abstract:
Tujuan penelitian ini untuk memperoleh gambaran kemampuan pemecahan masalah matematis siswa tunarungu kelas VIII dalam menyelesaikan masalah non rutin yang berkaitan dengan masalah pecahan. Jenis penelitian yang digunakan adalah penelitian kualitatif dengan desain case study. Pengambilan subyek dilakukan secara purposive sebanyak 6 orang pada tiga Sekolah Luar Biasa (SLB) B yakni SLB B Karya Murni Ruteng, SMPLB Negeri Semarang dan SLB B Don Bosco Wonosobo.. Data dikumpulkan melalui tes pemecahan masalah dan wawancara. Hasil analisis terhadap data hasil pekerjaan dan data wawancara, diperoleh bahwa kemampuan-kemampuan matematis yang muncul pada subyek dalam menyelesaikan masalah antara lain; (1) ada kecenderungan bahwa dalam membangun pemahaman terhadap masalah, subyek merepresentasikan masalah melalui gambar, dapat mengungkapkan apa yang diketahui dan apa yang ditanyakan, mengidentifikasi unsur-unsur yang diketahui, dan menyatakan kembali masalah dalam bahasa yang lebih sederhana; (2) Subyek dapat melakukan elaborasi yakni mengaitkan informasi dengan pengetahuan yang telah terbentuk; (3) Jika siswa tunarungu dapat menyelesaikan masalah, maka untuk menyelesaikan masalah cenderung menggunakan gambar dan menggunakan cara membilang. Dengan demikian, disimpulkan bahwa siswa tunarungu dapat menyelesaikan soal non-rutin dengan tingkat kesulitan tinggi dengan terlebih dahulu memvisualisasikan masalah dalam bentuk gambar dan menulis kembali dalam bentuk kalimat sederhana.
APA, Harvard, Vancouver, ISO, and other styles
8

Pantziara, Marilena, Athanasios Gagatsis, and Iliada Elia. "Using diagrams as tools for the solution of non-routine mathematical problems." Educational Studies in Mathematics 72, no. 1 (2009): 39–60. http://dx.doi.org/10.1007/s10649-009-9181-5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Izzatin, M., SB Waluya, Rochmad, Kartono, N. Dwidayati, and NR Dewi. "Students’ proportional reasoning in solving non-routine problems based on mathematical disposition." Journal of Physics: Conference Series 1918, no. 4 (2021): 042114. http://dx.doi.org/10.1088/1742-6596/1918/4/042114.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Pasandaran, Rio Fabrika. "REPRESENTASI MATEMATIKA DALAM PENYELESAIAN MASALAH NON RUTIN." Guru Tua : Jurnal Pendidikan dan Pembelajaran 2, no. 1 (2019): 45–52. http://dx.doi.org/10.31970/gurutua.v2i1.23.

Full text
Abstract:
This research is a qualitative descriptive study that aims to describe the ability of mathematical representation of high-ability students to solve non-routine problems based on representation indicators. The subjects of this study were students of class XI-IPA Palopo 1 High School. The steps carried out in this study are (1) Observation, (2) Selection of subjects, (3) Non-routine problems, (4) Interviews, (5) Making conclusions on the results of the study. The instrument of this study was the researchers themselves, with the help of several supporting instruments such as (1) diagnostic tests, (2) interview guidelines, and (3) non-routine mathematical tests. The results obtained from this study are highly capable subjects in completing non-routine questions tend to use alternative methods, think inductively and deductively, create conceptual information networks, describe a concept in the form of algebraic symbols, graphic images, patterns , and equations.
APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic "Non routine mathematical problems"

1

Asman, Dalia. "Knowledge, beliefs and attitudes toward non-routine mathematical problems." Thesis, Anglia Ruskin University, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.321970.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Medina, Myron. "Exploring students' mathematical sense-making through non-routine problems : visualization, gesture, and affect." Thesis, University of British Columbia, 2013. http://hdl.handle.net/2429/45411.

Full text
Abstract:
This study explores graduate students’ mathematical sense making through non-routine problems. I consider visualization, gesture and affect as integral cognitive aspects in the solution processes of participants. To analyze them, I introduce a suitable model, a think-aloud protocol coupled with meta-cognitive prompts. The study gives details of the solving of given non-routine problems by participants. It allows focusing on the relationship between visualization and gesture in conjunction with affective states in the process of sense making when solving non-routine problems in the absence of pre-determined mathematical procedures or algorithms. Visual imagery, gesture and particularly affective issues played a role in the solving processes of graduate students. As such these resources are seen as major ingredients in mathematics teaching and learning.
APA, Harvard, Vancouver, ISO, and other styles
3

Walden, Rachel Louise. "An exploration into how year six children engage with mathematical problem solving." Thesis, Brunel University, 2015. http://bura.brunel.ac.uk/handle/2438/14285.

Full text
Abstract:
This thesis provides some new insight into children’s strategies and behaviours relating to problem solving. Problem solving is one of the main aims in the renewed mathematics National Curriculum 2014 and has appeared in the Using and Applying strands of previous National Curriculums. A review of the literature provided some analysis of the types of published problem solving activities and attempted to construct a definition of problem solving activities. The literature review also demonstrated this study’s relevance. It is embedded in the fact that at the time of this study there was very little current research on problem solving and in particular practitioner research. This research was conducted through practitioner research in a focus institution. The motivation for this research was, centred round the curiosity as to whether the children (Year Six, aged 10 -11 years old) in the focus institution could apply their mathematics to problem solving activities. There was some concern that these children were learning mathematics in such a way as to pass examinations and were not appreciating the subject. A case study approach was adopted using in-depth observations in one focus institution. The observations of a sample of Year Six children engaged in mathematical problem solving activities generated rich data in the form of audio, video recordings, field notes and work samples. The data was analysed using the method of thematic analysis utilising Nvivo 10 to code the data. These codes were further condensed to final overarching themes. Further discussion of the data shows both mathematical and non-mathematical overarching themes. These themes are discussed in more depth within this study. It is hoped that this study provides some new insights into children’s strategies and behaviours relating to problem solving in mathematics.
APA, Harvard, Vancouver, ISO, and other styles
4

Robinson, Lauren Michelle. "An Exploratory Study of the Factors Related to Successful Mathematical Problem Solving on Non-routine Unconstrained Tasks." Diss., Temple University Libraries, 2016. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/418552.

Full text
Abstract:
Math & Science Education<br>Ph.D.<br>A main goal of mathematics educators is to guide students in becoming better problem solvers; however, the recipe for successful problem solving is complex due to the varying factors that play a role in the problem solving process (Schoenfeld, 1992). There is a limited amount of research that examines problem solving when students work on non-routine problems outside of the classroom; therefore, the goal of this study is to use secondary data analysis to discover what factors (Schoenfeld, 1992) relate to problem solving on non-routine unconstrained tasks of students in the middle grades. Identifying the factors that relate to successful unconstrained non-routine problem solving can help mathematics teachers and policy makers make more informed decisions about curriculum and instruction in order to enhance problem solving aptitude. Using Schoenfeld’s (1992) theoretical framework for mathematical behavior, the following question set the groundwork for the current study: What resource (computational skills and heuristics), control (self-regulation), and belief/affect factors (demographics, motivation, and anxiety) both individually and collectively relate to unconstrained non-routine mathematical problem solving? The research question is answered in a series of three stages that examines how the factors relate to a) problem correctness, b) correct problem set-up, and c) problem completion. Results suggest that higher levels of self-regulation, and SES status predict problem completion; higher self-regulation, ability beliefs, and SES predict correctly setting-up the problem; and higher levels of anxiety and stronger computational skills predict solving the problem correctly. Reasons for the patterns of results are discussed, as well as suggestions for future research to extend on the current findings.<br>Temple University--Theses
APA, Harvard, Vancouver, ISO, and other styles
5

DeLeon, Adam James. "A curriculum of non-routine problems in the middle school." CSUSB ScholarWorks, 2004. https://scholarworks.lib.csusb.edu/etd-project/2592.

Full text
Abstract:
This project is a study to determine if a group of middle school students can improve their problem solving ability by means of curriculum of nonroutine problems that was presented over a six month period.
APA, Harvard, Vancouver, ISO, and other styles
6

Jellis, Rebecca Mary. "Primary children's interpretation and use of illustrations in school mathematics textbooks and non routine problems : a school based investigation." Thesis, Durham University, 2008. http://etheses.dur.ac.uk/1333/.

Full text
Abstract:
Illustrations form a major part of our increasingly visual world. They penetrate all aspects of life and are of particular importance to children when they are learning to read not only because they illustrate the text but also by providing the cues used to comprehend text. Unfortunately, this reliance, although essential in the early understanding of reading, may become a false friend when the illustration misinfonns or conflicts with the text. As publishers compete for their share ofthe education market, mathematics textbooks have tended to become more highly illustrated with eye-catching pictures designed to motivate pupils. However some ofthese illustrations may be detrimental in tenns of their misleading effect upon children's ability to read the associated text effectively. Using two main textbooks schemes in current use, the extent and value ofthe illustrations in each is considered. Initially, a small group ofnine children were observed and questioned while they were working on mathematical tasks from the textbooks, and examples from this small study show how children's mathematical thinking can be compromised by misunderstandings arising from the misreading of illustrations. Subsequently, using one hundred and twenty-eight Year 3 children from three primary schools, the effect illustrations may have upon children's mathematical perfonnance was examined further. Using non-routine mathematics questions the sample group were given different illustrated versions of challenging mathematics questions. The effect upon their mathematical success ofvarious types of illustration and the varying relations ofthese illustrations to the text was analysed. Work from smaller sample groups was then examined to investigate whether those with a low' reading age were further compromised by the misleading illustrations. In addition, the mathematical work ofeighty-one children was examined in relation to their learning styles. Nine children were questioned as they examined the previous mathematical work ofother children and their comments about how other children might approach mathematical problems provided a greater understanding ofhow children might become misled by illustrations. The overall findings of the study indicate that children ofthis age may still be reliant on using illustrations to comprehend mathematical questions. Therefore in their calculations some children may be compromised in their mathematics success ifthe illustration does not support the question but instead in some way contradicts its intentions. This means that designers and teachers need to be greater aware of the influence illustrations have beyond that of motivation or decoration.
APA, Harvard, Vancouver, ISO, and other styles
7

Devine, Matthew Terrence. "Glogs as Non-Routine Problem Solving Tools in Mathematics." NSUWorks, 2013. http://nsuworks.nova.edu/gscis_etd/132.

Full text
Abstract:
In mathematical problem solving, American students are falling behind their global peers because of a lack of foundational and reasoning skills. A specific area of difficulty with problem solving is working non-routine, heuristic-based problems. Many students are not provided with effective instruction and often grow frustrated and dislike math. Through the integration of George Polya's 4-step method and a comprehensive Web 2.0 tool, glogs, students could potentially improve their non-routine problem solving skills. This action research study made an original contribution to the computing technology in education field through a classroom implementation and phenomenological evaluation of glogs as virtual graphic organizers to assist with solving non-routine problems. Employing a qualitative, phenomenological research method for collecting and analyzing data, the researcher utilized both interviews and document analyses. The data was used to determine how students used Polya's 4-step process to assist with solving non-routine mathematics problems in glogs. The results will provide the teacher researcher and other educational professionals with information on the effectiveness of utilizing glogs to assist students with solving these challenging, non-routine problems in the classroom.
APA, Harvard, Vancouver, ISO, and other styles
8

Dodsworth, Dianne Joyce. "Routine mathematical problems and mathematical inquiry in an elementary classroom, tensions and struggles." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape7/PQDD_0032/NQ46832.pdf.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Upton, Deborah Susan. "Students' solution strategies to differential equations problems in mathematical and non-mathematical contexts." Thesis, Boston University, 2004. https://hdl.handle.net/2144/32845.

Full text
Abstract:
Thesis (Ed.D.)--Boston University<br>PLEASE NOTE: Boston University Libraries did not receive an Authorization To Manage form for this thesis or dissertation. It is therefore not openly accessible, though it may be available by request. If you are the author or principal advisor of this work and would like to request open access for it, please contact us at open-help@bu.edu. Thank you.<br>The present study investigated undergraduate students' understanding of slope fields and equilibrium solutions as they solved problems in differential equations. The following questions were addressed: 1) Does performance on complex problems vary by context (mathematical, non-mathematical)? 2) When considering a complex problem in a mathematical and a non-mathematical context, are participants who answer the problem in one context correctly more likely to answer the corresponding problem in the other context correctly? 3) Does performance on simple problems predict performance on complex problems? A written test, Differential Equations Concept Assessment (DECA), was designed and administered to 91 participants drawn from three introductory differential equations courses. Of those participants, 13 were interviewed. DECA consists of four complex problems, two in mathematical contexts and two in non-mathematical contexts, and six simple problems that assess aspects of slope fields and equilibrium solutions. The data obtained from DECA and the interviews showed that participants performed significantly better on complex problems in non-mathematical contexts than on complex problems in mathematical contexts. There was a significant relationship found between performance on a problem in a mathematical context and performance on the isomorphic problem in the context of population growth, but a significant relationship was not found between a different pair of isomorphic problems, one in a mathematical context and the other in the context oflearning. However, for all the complex problems, participants illustrated a preference for algebraic rather than geometric methods, even when a geometric approach was a more efficient method of solution. Although performance on simple problems was not found to be a strong predictor of performance on complex problems, the simple problems proved to elicit difficulties participants had with aspects of slope fields and equilibrium solutions. For example, participants were found to overgeneralize the notion of equilibrium solution as being any straight line and as existing at all values where a differential equation equals zero. Participants were also found to identify slope fields as determining only equilibrium solutions.<br>2031-01-01
APA, Harvard, Vancouver, ISO, and other styles
10

Bere, Alphonce. "Some non-standard statistical dependence problems." University of the Western Cape, 2016. http://hdl.handle.net/11394/4868.

Full text
Abstract:
Philosophiae Doctor - PhD<br>The major result of this thesis is the development of a framework for the application of pair-mixtures of copulas to model asymmetric dependencies in bivariate data. The main motivation is the inadequacy of mixtures of bivariate Gaussian models which are commonly fitted to data. Mixtures of rotated single parameter Archimedean and Gaussian copulas are fitted to real data sets. The method of maximum likelihood is used for parameter estimation. Goodness-of-fit tests performed on the models giving the highest log-likelihood values show that the models fit the data well. We use mixtures of univariate Gaussian models and mixtures of regression models to investigate the existence of bimodality in the distribution of the widths of autocorrelation functions in a sample of 119 gamma-ray bursts. Contrary to previous findings, our results do not reveal any evidence of bimodality. We extend a study by Genest et al. (2012) of the power and significance levels of tests of copula symmetry, to two copula models which have not been considered previously. Our results confirm that for small sample sizes, these tests fail to maintain their 5% significance level and that the Cramer-von Mises-type statistics are the most powerful.
APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Non routine mathematical problems"

1

Amanda, Mills, and Tsutsui Hisa, eds. Mathematical ideas for non-science majors. 3rd ed. Pearson, 2005.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

Brodsky, B. E. Non-Parametric Statistical Diagnosis: Problems and Methods. Springer Netherlands, 2000.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

Brodsky, B. E. Non-parametric statistical diagnosis: Problems and methods. Kluwer Academic Publishers, 2000.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Non-Abelian cohomology theory and applications to the Yang-Mills & Bäcklund problems. World Scientific, 1994.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Motreanu, D. Variational and non-variational methods in nonlinear analysis and boundary value problems. Kluwer Academic, 2003.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Bidegaray-Fesquet, Brigitte. Hiérarchie de modèles en optique quantique: De Maxwell-Bloch à Schr̈odinger non-linéaire. Springer, 2006.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Roberts, T. W. On the combined performance of non-local artificial boundary conditions with the new generation of advanced multigrid flow solvers. National Aeronautics and Space Administration, Langley Research Center, 2000.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

V, Zhitarashu N., ed. Parabolic boundary value problems. Birkhäuser Verlag, 1998.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

Vasil'ev, Vladimir B. Wave factorization of elliptic symbols: Theory and applications : introduction to the theory of boundary value problems in non-smooth domains. Kluwer Academic Publishers, 2000.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

Galushkin, Yurii. Non-standard Problems in Basin Modelling. Springer, 2018.

Find full text
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Non routine mathematical problems"

1

Kool, Marjolein, and Ronald Keijzer. "Designing Non-routine Mathematical Problems as a Challenge for High Performing Prospective Teachers." In ICME-13 Monographs. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-68342-3_7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Santhanam, Sundaram R. "Workshop on Framing Non-routine Problems in Mathematics for Gifted Children of Age Group 11–15." In Proceedings of the 13th International Congress on Mathematical Education. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-62597-3_137.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Nguyen, Huy A., Yuqing Guo, John Stamper, and Bruce M. McLaren. "Improving Students’ Problem-Solving Flexibility in Non-routine Mathematics." In Lecture Notes in Computer Science. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-52240-7_74.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Fursaev, Dmitri, and Dmitri Vassilevich. "Non-linear Spectral Problems." In Theoretical and Mathematical Physics. Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-0205-9_6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Magal, Pierre, and Shigui Ruan. "Semilinear Cauchy Problems with Non-dense Domain." In Applied Mathematical Sciences. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01506-0_5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Magal, Pierre, and Shigui Ruan. "Integrated Semigroups and Cauchy Problems with Non-dense Domain." In Applied Mathematical Sciences. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01506-0_3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Korman, Philip. "On Existence of Solutions for Non-coercive Problems." In Mathematical Sciences Research Institute Publications. Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-9608-6_3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Khachay, Michael, and Yuri Ogorodnikov. "Approximation Scheme for the Capacitated Vehicle Routing Problem with Time Windows and Non-uniform Demand." In Mathematical Optimization Theory and Operations Research. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-22629-9_22.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Ghoussoub, Nassif, and Amir Moradifam. "Regularity and stability of solutions in non-self-adjoint problems." In Mathematical Surveys and Monographs. American Mathematical Society, 2013. http://dx.doi.org/10.1090/surv/187/11.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Sheftel, Zinovi G. "On Approximation by Solutions of non-local Elliptic Problems." In Partial Differential Operators and Mathematical Physics. Birkhäuser Basel, 1995. http://dx.doi.org/10.1007/978-3-0348-9092-2_36.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Non routine mathematical problems"

1

Abdullah, Abdul Halim, Nor Hasniza Ibrahim, Johari Surif, Marlina Ali, and Mohd Hilmi Hamzah. "Non-routine mathematical problems among in-service and pre-service mathematics teachers." In 2014 International Conference of Teaching, Assessment and Learning (TALE). IEEE, 2014. http://dx.doi.org/10.1109/tale.2014.7062620.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Alonso-Castaño, Marlén, Pedro Alonso, and Luis José Rodríguez-Muñiz. "PROSPECTIVE PRIMARY SCHOOL TEACHERS SOLVING NON-ROUTINE MATHEMATICAL PROBLEMS: FEEDBACK AND INTERACTION STYLES." In 11th annual International Conference of Education, Research and Innovation. IATED, 2018. http://dx.doi.org/10.21125/iceri.2018.0506.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Yunita, Desy Ratna, Anggita Maharani, and Herri Sulaiman. "Identifying of Rigorous Mathematical Thinking on Olympic Students in Solving Non-routine Problems on Geometry Topics." In Proceedings of the 3rd Asian Education Symposium (AES 2018). Atlantis Press, 2019. http://dx.doi.org/10.2991/aes-18.2019.111.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Pratiwi, Nurul, Nyimas Aisyah, Ely Susanti, and Weni Dwi Pratiwi. "Analysis of Junior High School Student’s Mathematical Reasoning Ability in Solving Non-routine Problems on Material of Two-variable Linear Equation Systems." In 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020). Atlantis Press, 2021. http://dx.doi.org/10.2991/assehr.k.210508.082.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Vodopianov, V. E. "Probabilistic Gas Path Analysis for Gas Turbine Engine and Its Application." In ASME Turbo Expo 2004: Power for Land, Sea, and Air. ASMEDC, 2004. http://dx.doi.org/10.1115/gt2004-53498.

Full text
Abstract:
Assessments of performance deterioration and its prediction are of major importance to the gas turbines operation and maintenance. The task called Gas Path Analysis (GPA) deals mainly with diagnostics of faults in the engine flow path (the efficiency and capacity changes of the modules), malfunctions in the engine control loops, changes in power off-takes and air-escapes. This approach is based on comparison of the measured thermodynamic data (temperatures, pressures, shaft speeds etc.) at present with the accepted reference data with a subsequent application of different mathematical methods meant for explanation of the data differences. These methods make use of gas turbines mathematical models, often linear in the form of so called fault matrices, representing the effect of different faults on measured parameters. The use of standard non-linear steady state performance models for investigation of in-service problems is essentially restricted because of the lack and inaccuracy of measured information. Application of such models requires reliable and sufficient information about measured performance parameters of the considered engine to carry out a good identification of the engine internal state. In practice there is usually no such information. Even the heavily instrumented development engines data list is often insufficient for a proper identification. In mathematical terms the gas turbine performance diagnostics is a badly-posed problem, with a high degree of uncertainty. So the low and insufficiently accurate instrumentation of production engines has resulted in a need for creating special diagnostic tools exhibiting a special approach to the task. In contrast to the other linear methods dealing with the GPA problem (known to the author), the proposed approach is based on the probability analysis of fault matrices and not on the solution of systems of linear algebraic equations. That makes it principally different from the other GPA methods using fault matrics. The new method has shown high level of working capacity. The application of the proposed diagnostic approach shown in this paper embraces main problems that may occur in operation. It is the routine estimate of performance deterioration shown by an example of analysis of the long-run test bed data, then it is the sifting of sensor faults and control loop settings changes and at last the diagnostic results themselves. The data used is the real test bed data of two-shaft engines with a very low by-pass ratio.
APA, Harvard, Vancouver, ISO, and other styles
6

Smetanin, Denis S., and Victor N. Voronov. "Application of Technological Algorithms and Mathematical Modelling in Cycle Chemistry Monitoring Systems." In ASME 8th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2006. http://dx.doi.org/10.1115/esda2006-95087.

Full text
Abstract:
Most Russian fossil fuelled power plants equipped with cycle chemistry monitoring systems (CCMS), as a tool to maintain water chemistry within operating limits, use these systems in informative mode only without performing any particular control function. Modern modeling methods allow for the optimizing of water chemistry control. According to the Russian guidelines, CCMS of a single unit depending on its type (drum or once-through boiler) should be based on on-line monitoring performed by 25–35 chemical analyzers; 50–100 “grab” sample analyses (daily) and about 20 on-line monitored operating parameters. Significant volume of the incoming information needs to be organized and presented to operating personnel in order to improve and optimize water chemistry at power plants, which is the main idea of CCMS, this can be achieved by implementing technological algorithms and modeling in the systems. Most of the operating CCMS are supplied with alarms to indicate water chemistry failure, alerting the operating personnel but not informing them about the danger and gravity of the event. The use of water chemistry evaluating algorithms based on system of indices provides data analysis for the operating personnel informing them on the danger of the event. Implementation of CCMS at power plants should change the role of laboratory monitoring from routine to diagnostic. The application of theoretical and experimental dependencies of different water quality parameters can be used for water chemistry optimization. In order to predict impurity distribution and deposit build-up on heat transfer surfaces and turbine blades, mathematical models of thermal cycles based on balance equations can be used in CCMS. Such models can be formed for ion-impurities, silica acid and corrosion products. Another type of model predicts impurity behavior in the event of deteriorating feed water chemistry. By means of such models operating personnel receive information about the time available to prevent steam chemistry failure. The model results should be compared with the available impurities solubility data. The majority of power plants have their particular water chemistry problems and technological disadvantages, which together with preventive and emergency measures are described in water chemistry guidelines applied at power plants. The application of logical algorithms based on these guidelines can be used in CCMS as an informative support to operating personnel in case of water chemistry failure. All the algorithms and mathematical models should only be used after their refinement to the individual power plant.
APA, Harvard, Vancouver, ISO, and other styles
7

Pachidis, Vassilios, Ioannis Templalexis, and Pericles Pilidis. "Convergence Stability of Through-Flow Analyses via the Implementation of the Secant and Bisection Iteration Schemes." In ASME Turbo Expo 2009: Power for Land, Sea, and Air. ASMEDC, 2009. http://dx.doi.org/10.1115/gt2009-59760.

Full text
Abstract:
One of the most frequently encountered problems in engineering is dealing with non-linear equations. For example, the solution of the full Radial Equilibrium Equation (REE) in Streamline Curvature (SLC) through-flow methods is a typical case of a scientific analysis associated with a complex mathematical problem that can not be handled analytically. Various schemes are used routinely in scientific studies for the numerical solution of mathematical problems. In simple cases, these methods can be applied in their original form with success. The Newton-Raphson for example is one such scheme, commonly employed in simple engineering problems that require an iterative solution. Frequently however, the analysis of more complex phenomena may fall beyond the range of applicability of ‘textbook’ numerical methods, and may demand the design of more dedicated algorithms for the mathematical solution of a specific problem. These algorithms can be empirical in nature, developed from scratch, or the combination of previously established techniques. In terms of robustness and efficiency, all these different schemes would have their own merits and shortcomings. The success or failure of the numerical scheme applied depends also on the limitations imposed by the physical characteristics of the computational platform used, as well as by the nature of the problem itself. The effects of these constraints need to be assessed and taken into account, so that they can be anticipated and controlled. This manuscript discusses the development, validation and deployment of a convergence algorithm for the fast, accurate and robust numerical solution of the non-linear equations of motion for two-dimensional flow fields. The algorithm is based on a hybrid scheme, combining the Secant and Bisection iteration methods. Although it was specifically developed to address the computational challenges presented by SLC-type of analyses, it can also be used in other engineering problems. The algorithm was developed to provide a mid-of-the-range option between the very efficient but notoriously unstable Newton-Raphson scheme and other more robust, but less efficient schemes, usually employing some sort of Dynamic Convergence Control (DCC). It was also developed to eliminate the large user intervention, usually required by standard numerical methods. This new numerical scheme was integrated into a compressor SLC software and was tested rigorously, particularly at compressor operating regimes traditionally exhibiting convergence difficulties (i.e. part-speed performance). The analysis showed that the algorithm could successfully reach a converged solution, equally robustly but much more efficiently compared to a hybrid Newton-Raphson scheme employing DCC. The performance of these two schemes, in terms of speed of execution, is presented here. Typical error histories and comparisons of simulated results against experimental are also presented in this manuscript for a particular case-study.
APA, Harvard, Vancouver, ISO, and other styles
8

Malak, Richard J., and Christiaan J. J. Paredis. "Using Support Vector Machines to Formalize the Valid Input Domain of Models in Data-Driven Predictive Modeling for Systems Design." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87376.

Full text
Abstract:
Predictive modeling can be a valuable tool for systems designers, allowing them to capture and reuse knowledge from a set of observed data related to their system. An important challenge associated with predictive modeling is that of describing the domain over which model predictions are valid. This is necessary to avoid extrapolating beyond the original data, particularly when designers use predictive models in concert with optimizers or other computational routines that search a model’s input space automatically. The general problem of domain description is complicated by the characteristics of observational data sets, which can contain small numbers of samples, can have nonlinear associations among the variables, can be non-convex, and can occur in largely disjoint clusters. Support Vector Machine (SVM) techniques, developed originally in the machine learning community, offer a solution to this problem. This paper is a description of a kernel-based SVM approach that yields a formal mathematical description of the valid input domain of a predictive model. The approach also provides for cluster analysis, which can lead to improved model accuracy through the decomposition of a data set into multiple subsets that designers can model independently. The paper includes a mathematical presentation of kernel-based SVM methods, an explanation of the procedure for applying the approach to predictive modeling problems, and illustrative examples for applying and using the approach in systems design.
APA, Harvard, Vancouver, ISO, and other styles
9

Škultéty, Marek, and Karel Pastor. "PROBLEMS IN SOLVING NON-STANDARD MATHEMATICAL TASKS." In 13th annual International Conference of Education, Research and Innovation. IATED, 2020. http://dx.doi.org/10.21125/iceri.2020.0291.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Zhang, Liping, Delun Wang, and Jian S. Dai. "Automated Conceptual Design for Hybrid Mechanisms Based on Characteristic State Space Theory." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-49910.

Full text
Abstract:
A new methodology for automated conceptual design of hybrid combined mechanical system based on the characteristic state space approach is developed. The goal is to conceive the appropriate hybrid system given only the kinematic function posed in the problem specifications. The key enabler of the conceptual synthesis is the method of capturing kinematic behavior and transforming the continuous and non-linear motion into the discrete states and linear relation characteristic stack representation. A new characteristic state analyzing method for multi-dof primary mechanism blocks is proposed. Then the characteristic state equations are established by motion relationship between the multiple inputs and the outputs, which including characteristic transformation matrices and the characteristic state vectors established through the method of linearization for kinematic equations according to the specific input and output motion transformation. Thus the multi-dof primary mechanism blocks are identified, classified and represented qualitatively from characteristic perspectives. And then, generalized characteristic state modeling method is used to describe the behavior of the multi-loop combined mechanism. The generalized characteristic state model sets are established according to the classified primary combination patterns. The mathematical model of the hybrid combination system facilitates the characterization of the primary mechanism blocks and primary combination patterns, transformation of problem specifications, decomposition into sub-problems, and the ability to search for alternate solutions. The characteristic state space graph theory and the space vector routing model between the random input-output dual vectors in state space are established. Furthermore, with the manipulation of the dual vectors, the mathematic synthesis model is presented leading to the characteristic equation operation and the groundwork is laid for the conceptual design. To fine present the automated decomposition and the synthesis algorithm, the suggested design examples are compact and compatible with the general design principles.
APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Non routine mathematical problems"

1

Perdigão, Rui A. P., and Julia Hall. Spatiotemporal Causality and Predictability Beyond Recurrence Collapse in Complex Coevolutionary Systems. Meteoceanics, 2020. http://dx.doi.org/10.46337/201111.

Full text
Abstract:
Causality and Predictability of Complex Systems pose fundamental challenges even under well-defined structural stochastic-dynamic conditions where the laws of motion and system symmetries are known. However, the edifice of complexity can be profoundly transformed by structural-functional coevolution and non-recurrent elusive mechanisms changing the very same invariants of motion that had been taken for granted. This leads to recurrence collapse and memory loss, precluding the ability of traditional stochastic-dynamic and information-theoretic metrics to provide reliable information about the non-recurrent emergence of fundamental new properties absent from the a priori kinematic geometric and statistical features. Unveiling causal mechanisms and eliciting system dynamic predictability under such challenging conditions is not only a fundamental problem in mathematical and statistical physics, but also one of critical importance to dynamic modelling, risk assessment and decision support e.g. regarding non-recurrent critical transitions and extreme events. In order to address these challenges, generalized metrics in non-ergodic information physics are hereby introduced for unveiling elusive dynamics, causality and predictability of complex dynamical systems undergoing far-from-equilibrium structural-functional coevolution. With these methodological developments at hand, hidden dynamic information is hereby brought out and explicitly quantified even beyond post-critical regime collapse, long after statistical information is lost. The added causal insights and operational predictive value are further highlighted by evaluating the new information metrics among statistically independent variables, where traditional techniques therefore find no information links. Notwithstanding the factorability of the distributions associated to the aforementioned independent variables, synergistic and redundant information are found to emerge from microphysical, event-scale codependencies in far-from-equilibrium nonlinear statistical mechanics. The findings are illustrated to shed light onto fundamental causal mechanisms and unveil elusive dynamic predictability of non-recurrent critical transitions and extreme events across multiscale hydro-climatic problems.
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography