Relevant bibliographies by topics / Mathematical problem solving

Contents

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

Academic literature on the topic 'Mathematical problem solving'

Author: Grafiati
Published: 4 June 2021
Last updated: 20 February 2023

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Journal articles on the topic "Mathematical problem solving"

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Azlan, Noor Akmar, and Mohd Faizal Nizam Lee Abdullah. "Komunikasi matematik : Penyelesaian masalah dalam pengajaran dan pembelajaran matematik." Jurnal Pendidikan Sains Dan Matematik Malaysia 7, no. 1 (April 27, 2017): 16–31. http://dx.doi.org/10.37134/jsspj.vol7.no1.2.2017.

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Based on the study of mathematic problems created by Clements in 1970 and 1983 in Penang, it was found that students in Malaysia do not have a problem of serious thought. However, the real problem is related to read, understand and make the right transformation when solving mathematical problems, especially those involving mathematical word problem solving. Communication is one of the important elements in the process of solving problems that occur in the teaching and learning of mathematics. Students have the opportunities to engage in mathematic communication such as reading, writing and listening and at least have two advantages of two different aspects of communication which are to study mathematics and learn to communicate mathematically. Most researchers in the field of mathematics education agreed, mathematics should at least be studied through the mail conversation. The main objective of this study is the is to examine whether differences level of questions based on Bloom’s Taxonomy affect the level of communication activity between students and teachers in the classroom. In this study, researchers wanted to see the level of questions which occur with active communication and if not occur what is the proper strategy should taken by teachers to promote the effective communication, engaging study a group of level 4 with learning disabilities at a secondary school in Seremban that perform mathematical tasks that are available. The study using a qualitative approach, in particular sign an observation using video as the primary method. Field notes will also be recorded and the results of student work will be taken into account to complete the data recorded video. Video data are primary data for this study. Analysis model by Powell et al., (2013) will was used to analyze recorded video. Milestones and critical during this study will be fully taken into account.
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Galovich, Steven, and Alan H. Schoenfeld. "Mathematical Problem Solving." American Mathematical Monthly 96, no. 1 (January 1989): 68. http://dx.doi.org/10.2307/2323271.

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Ewing, Michael, Barbara Moskal, and Graeme Fairweather. "Mathematical Problem Solving." International Journal of Learning: Annual Review 12, no. 8 (2007): 267–74. http://dx.doi.org/10.18848/1447-9494/cgp/v14i08/45435.

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McLeod, Douglas B., and Alan H. Schoenfeld. "Mathematical Problem Solving." College Mathematics Journal 18, no. 4 (September 1987): 354. http://dx.doi.org/10.2307/2686811.

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Mikusa, Michael G. "Problem Solving: Is More Than Solving Problems." Mathematics Teaching in the Middle School 4, no. 1 (September 1998): 20–25. http://dx.doi.org/10.5951/mtms.4.1.0020.

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The curriculum and evaluation Standards for School Mathematics (NCTM 1989) states that one of its five general goals is for all students to become mathematical problem solvers. It recommends that “to develop such abilities, students need to work on problems that may take hours, days, and even weeks to solve” (p. 6). Clearly the authors have not taught my students! When my students first encountered a mathematical problem, they believed that it could be solved simply because it was given to them in our mathematics class. They also “knew” that the technique or process for finding the solution to many problems was to apply a skill or procedure that had been recently taught in class. The goal for most of my students was simply to get an answer. If they ended up with the correct answer, great; if not, they knew that it was “my job” to show them the “proper” way to go about solving the problem.
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Saeed, Alexander. "Mathematical Problem Solving Techniques." Imagine 4, no. 2 (1996): 19. http://dx.doi.org/10.1353/imag.2003.0077.

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Saeed, Alexander. "Mathematical Problem Solving Techniques." Imagine 4, no. 1 (1996): 17. http://dx.doi.org/10.1353/imag.2003.0091.

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Sezgin memnun, Dilek, and Merve ÇOBAN. "Mathematical Problem Solving: Variables that Affect Problem Solving Success." International Research in Education 3, no. 2 (July 29, 2015): 110. http://dx.doi.org/10.5296/ire.v3i2.7582.

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<p>Individuals who can solve the problems in everyday and business life is one of the primary goals of education due to the necessity to have problem solving skills to cope with life problems. Problem solving has an important role in mathematics education. Because of that, this research is aimed to examine the differentiation of secondary school students’ problem solving success according to gender, class level, and mathematics course grade. Moreover, this paper explores the effect of secondary school students’ attitudes toward mathematics and problem solving on problem solving success. The participants were 77 fifth-graders and 81 sixth-graders who were studying in three different secondary schools in a large city in Turkey. Two different attitude instruments and a problem solving test were administered to these volunteer fifth- and sixth-graders accompanied by mathematics teachers. Additionally, the students’ mathematics course grades for the fall semester were obtained and used in the research. The results revealed that sixth-graders were more successful in problem solving than fifth- graders. The problem solving success of female and male students was similar, and there was an intermediate positive relationship between problem solving success and course grade point averages. The students’ attitudes affected their problem solving success.</p>
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Pambudi, Didik Sugeng, I. Ketut Budayasa, and Agung Lukito. "The Role of Mathematical Connections in Mathematical Problem Solving." Jurnal Pendidikan Matematika 14, no. 2 (June 30, 2020): 129–44. http://dx.doi.org/10.22342/jpm.14.2.10985.129-144.

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Problem-solving and mathematical connections are two important things in learning mathematics, namely as the goal of learning mathematics. However, it is unfortunate that the ability of students 'mathematical connections is very low so that it impacts on students' failure in solving mathematical problems. The writing of this paper aims to discuss the understanding of mathematical problems, mathematical problem solving, mathematical connections, and how they play a role in solving mathematical problems. The method used in writing this paper is a method of studying literature, which is reinforced by the example of a qualitative research result. The research subjects consisted of two eighth grade students of junior high school in Jember East Java, Indonesia, in 2017/2018. The research data consisted of written test results solving the mathematical problem as well as interview results. Data analysis uses descriptive qualitative analysis. From the results of literature studies and research results provide a conclusion that mathematical connections play an important role, namely as a tool for students to use in solving mathematical problems where students who have good mathematical connection skills succeed in solving mathematical problems well, while poor mathematical connection skills cause students to fail in solving mathematical problems.
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Lynn Ichinose, Cherie, and Armando M. Martinez-Cruz. "Problem Solving + Problem Posing = Mathematical Practices." Mathematics Teacher 111, no. 7 (May 2018): 504–11. http://dx.doi.org/10.5951/mathteacher.111.7.0504.

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Dissertations / Theses on the topic "Mathematical problem solving"

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Cheng, Elizabeth. "Cognitive styles and mathematical problem solving." Thesis, University of Bristol, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.297974.

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Yee, Sean P. "Students' Metaphors for Mathematical Problem Solving." Kent State University / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=kent1340197978.

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Klein, Ana Maria. "Children's problem-solving language : a study of grade 5 students solving mathematical problems." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape3/PQDD_0030/NQ64590.pdf.

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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.

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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.
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Wong, Man-on. "The effect of heuristics on mathematical problem solving." [Hong Kong : University of Hong Kong], 1994. http://sunzi.lib.hku.hk/hkuto/record.jsp?B13834265.

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Klingler, Kelly Lynn. "Mathematic Strategies for Teaching Problem Solving: The Influence of Teaching Mathematical Problem Solving Strategies on Students' Attitudes in Middle School." Master's thesis, University of Central Florida, 2012. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/5381.

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The purpose of this action research study was to observe the influence of teaching mathematical problem solving strategies on students' attitudes in middle school. The goal was to teach five problem solving strategies: Drawing Pictures, Making a Chart or Table, Looking for a Pattern, Working Backwards, and Guess and Check, and have students reflect upon the process. I believed that my students would use these problem solving strategies as supportive tools for solving mathematical word problems. A relationship from the Mathematics Attitudes survey scores on students' attitudes towards problem solving in mathematics was found. Students took the Mathematics Attitudes survey before and after the study was conducted. In-class observations of the students applying problem solving strategies and students' response journals were made. Students had small group interviews after the research study was conducted. Therefore, I concluded that with the relationship between the Mathematics Attitudes survey scores and journal responses that teaching the problem solving strategies to middle school students was an influential tool for improving students' mathematics attitude.
ID: 031001486; System requirements: World Wide Web browser and PDF reader.; Mode of access: World Wide Web.; Adviser: Enrique Ortiz.; Title from PDF title page (viewed July 24, 2013).; Thesis (M.Ed.)--University of Central Florida, 2012.; Includes bibliographical references (p. 88-92).
M.Ed.
Masters
Teaching, Learning, and Leadership
Education and Human Performance
K-8 Math and Science
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Wong, Man-on, and 黃萬安. "The effect of heuristics on mathematical problem solving." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1994. http://hub.hku.hk/bib/B31957523.

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Pieterse, Susan-Mari. "Teachers mediation of metacognition during mathematical problem solving." Thesis, Stellenbosch : Stellenbosch University, 2014. http://hdl.handle.net/10019.1/96054.

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Thesis (MEd)--Stellenbosch University, 2014.
ENGLISH ABSTRACT: Recent national and international assessments single problem solving out as an important but problematic factor in the current mathematical capacities of South African learners. It is evident that the problem escalates as learners progress to the Intermediate Phase. Research indicates a significant link between metacognition and successful mathematical problem solving. From a Vygotskian sociocultural perspective which formed the theoretical framework of this study, metacognition can be regarded as a higher-order function developing through interaction within social and cultural contexts known as mediation. This qualitative collective case study, informed by an interpretivist paradigm, was designed to explore and compare how Foundation and Intermediate Phase mathematics teachers mediate metacognition during mathematical problem solving. It aimed to offer a deeper understanding of the process of mediation, the complex interplay between cognition and metacognition, and how teachers differentiate the mediation process to accommodate diversity among their learners. To address this, two cases were identified involving a sample of six mathematics teachers each of an urban primary school in the Western Cape Province. The first case was Foundation Phase teachers and the second Intermediate Phase teachers. Semi-structured individual interviews, non-participant classroom observations, and semi-structured focus group interviews were used as methods to gather and triangulate data. Themes that emerged from constantly comparing the data informed the findings. The findings suggest that there are cognitive, non-cognitive and contextual factors which could influence the quality and outcomes of the mediation of metacognition during mathematical problem solving in diverse classrooms. It emphasized the significance of the active role the teacher as a more knowledgeable other plays in the mediation process. Furthermore, it underlined the importance of giving learners challenging mathematical problems requiring metacognition within their zones of proximal development. It was also found that the teacher as mediator should not only have the necessary professional knowledge and strategies, but should also consider the affective factors, perceptions and reactions of learners, during the mediation process. Keywords: metacognition, mediation, mathematical problem solving, sociocultural theory, differentiated instruction, Foundation Phase teachers, Intermediate Phase teachers.
AFRIKAANSE OPSOMMING: Onlangse nasionale en internasionale assesserings lig probleemoplossing uit as 'n belangrike, maar problematiese faktor in die huidige wiskundige prestasie van Suid-Afrikaanse leerders. Dit is duidelik dat die probleem toeneem dermate leerders na die Intermediêre Fase vorder. Navorsing toon 'n beduidende verband tussen metakognisie en suksesvolle wiskundige probleemoplossing. Vanuit 'n Vygotskiaanse sosiokulturele perspektief, wat die teoretiese raamwerk van hierdie studie gevorm het, word metakognisie as 'n hoër-orde funksie gesien wat ontwikkel deur interaksie binne die sosiale en kulturele konteks bekend as mediasie. Hierdie kwalitatiewe kollektiewe gevallestudie, ingelig deur 'n interpretivistiese paradigma, was ontwerp om te verken en te vergelyk hoe Grondslag- en Intermediêre-Fase onderwysers metakognisie tydens wiskundige probleemoplossing medieer. Dit het ten doel gehad om 'n beter begrip te bied van die proses van mediasie, die komplekse wisselwerking tussen kognisie en metakognisie en hoe onderwysers mediasie differensieer om die diversiteit van hul leerders te akkommodeer. Om dit aan te spreek was twee gevalle geïdentifiseer wat elk uit ses wiskunde-onderwysers van 'n stedelike primêre skool in die Wes-Kaap bestaan het. Een geval was Grondslagfase-deelnemers en die ander Intermediêre-Fase- deelnemers. Semi-gestruktureerde individuele onderhoude, nie-deelnemer klaskamer-waarnemings en semi-gestruktureerde fokusgroep-onderhoude was gebruik as metodes om data in te samel en te trianguleer. Temas wat ontluik het na die konstante vergelyking van data het die bevindinge ingelig. Die bevindinge het getoon dat daar kognitiewe, nie-kognitiewe en kontekstuele faktore is wat die kwaliteit en uitkomste van die mediasie van metakognisie tydens wiskundige probleemoplossing in diverse klaskamers kan beïnvloed. Die bevindinge beklemtoon die noodsaaklikheid van die aktiewe rol wat die onderwyser as die meer kundige ander speel in die mediasieproses. Verder word die belangrikheid benadruk van die daarstelling van uitdagende wiskundige probleme, wat metakognisie vereis, binne leerders se sones van proksimale ontwikkeling. Dit is ook gevind dat die onderwyser as mediator nie net oor die nodige professionele kennis en strategieë moet beskik nie, maar ook die affektiewe faktore, persepsies en reaksies van leerders in ag moet neem tydens die mediasieproses. Sleutelwoorde: metakognisie, mediasie, wiskundige probleemoplossing, sosiokulturele teorie, gedifferensieerde onderrig, Grondslagfase-onderwysers, Intermediêre Fase-onderwysers.
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Petersen, Belinda. "Writing and mathematical problem-solving in grade 3." Thesis, Cape Peninsula University of Technology, 2016. http://hdl.handle.net/20.500.11838/2366.

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Thesis (MEd (Education))--Cape Peninsula University of Technology, 2016.
The mathematics curriculum currently used in South African classrooms emphasises problem-solving to develop critical thinking. However, based on the local performance of South African Foundation Phase learners as well as performance in comparative international studies in mathematics, there is concern regarding their competence when solving mathematical problems and their use of meaningful strategies. This qualitative research study explores how writing can support Grade 3 learners’ mathematical problem-solving abilities. Writing in mathematics is examined as a tool to support learners when they solve mathematical problems to develop their critical thinking and deepen their conceptual understanding. The study followed a case study design. Social constructivist theory formed the theoretical framework and scaffolding was provided by various types of writing tasks. These writing tasks, specifically those promoted by Burns (1995a) and Wilcox and Monroe (2011), were modelled to learners and implemented by them while solving mathematical problems. Writing tasks included writing to solve mathematical problems, writing to record (keeping a journal or log), writing to explain, writing about thinking and learning processes and shared writing. Data were gathered through learners’ written work, field notes, audio-recordings of ability group discussions and interviews. Data were analysed to determine the usefulness of Burns’ writing methodology to support learners’ problem-solving strategies in the South African context. The analysis process involved developing initial insights, coding, interpretations and drawing implications to establish whether there was a relation between the use of writing in mathematics and development of learners’ problem-solving strategies. This study revealed an improvement in the strategies and explanations learners used when solving mathematical problems. At the end of the eight week data collection period, a sample of eight learners showed marked improvement in verbal and written explanations of their mathematical problem-solving strategies than before the writing tasks were implemented.
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Santos, Trigo Luz Manuel. "College students' methods for solving mathematical problems as a result of instruction based on problem solving." Thesis, University of British Columbia, 1990. http://hdl.handle.net/2429/31100.

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This study investigates the effects of implementing mathematical problem solving instruction in a regular calculus course taught at the college level. Principles associated with this research are: i) mathematics is developed as a response to finding solutions to mathematical problems, ii) attention to the processes involved in solving mathematical problems helps students understand and develop mathematics, and iii) mathematics is learned in an active environment which involves the use of guesses, conjectures, examples, counterexamples, and cognitive and metacognitive strategies. Classroom activities included use of nonroutine problems, small group discussions, and cognitive and metacognitive strategies during instruction. Prior to the main study, in an extensive pilot study the means for gathering data were developed, including a student questionnaire, several assignments, two written tests, student task-based interviews, an interview with the instructor, and class observations. The analysis in the study utilized ideas from Schoenfeld (1985) in which categories, such as mathematical resources, cognitive and metacognitive strategies, and belief systems, are considered useful in analyzing the students' processes for solving problems. A model proposed by Perkins and Simmons (1988) involving four frames of knowledge (content, problem solving, epistemic, and inquiry) is used to analyze students' difficulties in learning mathematics. Results show that the students recognized the importance of reflecting on the processes involved while solving mathematical problems. There are indications suggesting that the students showed a disposition to participate in discussions that involve nonroutine mathematical problems. The students' work in the assignments reflected increasing awareness of the use of problem solving strategies as the course developed. Analysis of the students' task-based interviews suggests that the students' first attempts to solve a problem involved identifying familiar terms in the problem and making some calculations often without having a clear understanding of the problem. The lack of success led the students to reexamine the statement of the problem more carefully and seek more organized approaches. The students often spent much time exploring only one strategy and experienced difficulties in using alternatives. However, hints from the interviewer (including metacognitive questions) helped the students to consider other possibilities. Although the students recognized that it was important to check the solution of a problem, they mainly focused on whether there was an error in their calculations rather than reflecting on the sense of the solution. These results lead to the conclusion that it takes time for students to conceptualize problem solving strategies and use them on their own when asked to solve mathematical problems. The instructor planned to implement various learning activities in which the content could be introduced via problem solving. These activities required the students to participate and to spend significant time working on problems. Some students were initially reluctant to spend extra time reflecting on the problems and were more interested in receiving rules that they could use in examinations. Furthermore, student expectations, evaluation policies, and curriculum rigidity limited the implementation. Therefore, it is necessary to overcome some of the students' conceptualizations of what learning mathematics entails and to propose alternatives for the evaluation of their work that are more consistent with problem solving instruction. It is recommended that problem solving instruction include the participation or coordinated involvement of all course instructors, as the selection of problems for class discussions and for assignments is a task requiring time and discussion with colleagues. Periodic discussions of course directions are necessary to make and evaluate decisions that best fit the development of the course.
Education, Faculty of
Curriculum and Pedagogy (EDCP), Department of
Graduate
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Books on the topic "Mathematical problem solving"

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Schoenfeld, Alan H. Mathematical problem solving. Orlando, Fla: Academic Press, 1985.

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Liljedahl, Peter, and Manuel Santos-Trigo, eds. Mathematical Problem Solving. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-10472-6.

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Problem solving. New York: Gloucester Press, 1991.

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1943-, Flowers Joe, ed. Principles of mathematical problem solving. Upper Saddle River, N.J: Prentice Hall, 1999.

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McLeod, Douglas B., and Verna M. Adams, eds. Affect and Mathematical Problem Solving. New York, NY: Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3614-6.

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H, Schoenfeld Alan, ed. Mathematical thinking and problem solving. Hillsdale, N.J: L. Erlbaum Associates, 1994.

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Yeap, Ban Har, Kapur Manu, and ebrary Inc, eds. Mathematical problem solving: Yearbook 2009 Associatoin of Mathematics Educators. Singapore: World Scientific, 2009.

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1956-, Andreescu Titu, and Mathematical Association of America, eds. Mathematical miniatures. Washington, D.C: Mathematical Association of America, 2003.

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Averbach, Bonnie. Problem solving through recreational mathematics. Mineola, N.Y: Dover Publications, 2000.

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D'Angelo, John P. Mathematical thinking: Problem-solving and proofs. Upper Saddle River, NJ: Prentice Hall, 1997.

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Book chapters on the topic "Mathematical problem solving"

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Santos-Trigo, Manuel, and Zahra Gooya. "Mathematical Problem Solving." In The Proceedings of the 12th International Congress on Mathematical Education, 459–62. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12688-3_40.

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Tjoe, Hartono. "“Looking Back” to Solve Differently: Familiarity, Fluency, and Flexibility." In Mathematical Problem Solving, 3–20. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-10472-6_1.

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Di Martino, Pietro, and Giulia Signorini. "Beyond the Standardized Assessment of Mathematical Problem Solving Competencies: From Products to Processes." In Mathematical Problem Solving, 209–29. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-10472-6_10.

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Álvarez, James A. Mendoza, Kathryn Rhoads, and R. Cavender Campbell. "Toward Designing and Developing Likert Items to Assess Mathematical Problem Solving." In Mathematical Problem Solving, 231–60. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-10472-6_11.

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Koichu, Boris, and Nelly Keller. "Creating and Sustaining Online Problem Solving Forums: Two Perspectives." In Mathematical Problem Solving, 263–87. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-10472-6_12.

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Liljedahl, Peter. "Conditions for Supporting Problem Solving: Vertical Non-permanent Surfaces." In Mathematical Problem Solving, 289–310. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-10472-6_13.

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Felmer, Patricio, Josefa Perdomo-Díaz, and Cristián Reyes. "The ARPA Experience in Chile: Problem Solving for Teachers’ Professional Development." In Mathematical Problem Solving, 311–37. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-10472-6_14.

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Kin, Ho Weng, Romina Ann S. Yap, Tay Eng Guan, Leong Yew Hoong, Toh Tin Lam, Quek Khiok Seng, Toh Pee Choon, and Jaguthsing Dindyal. "Understanding the Sustainability of a Teaching Innovation for Problem Solving: A Systems Approach." In Mathematical Problem Solving, 339–60. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-10472-6_15.

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Maciejewski, Wes. "Future-Oriented Thinking and Activity in Mathematical Problem Solving." In Mathematical Problem Solving, 21–38. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-10472-6_2.

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Carreira, Susana, and Hélia Jacinto. "A Model of Mathematical Problem Solving with Technology: The Case of Marco Solving-and-Expressing Two Geometry Problems." In Mathematical Problem Solving, 41–62. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-10472-6_3.

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Conference papers on the topic "Mathematical problem solving"

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Anami, Chairul, Budi Usodo, and Sri Subanti. "Mathematical Problem-solving: Students’ Cognitive Level for Solving HOTS Problem in Terms of Mathematical Ability." In International Conference of Mathematics and Mathematics Education (I-CMME 2021). Paris, France: Atlantis Press, 2021. http://dx.doi.org/10.2991/assehr.k.211122.009.

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Samarasinghe, Sidath Harshanath, and Siu Cheung Hui. "Mathematical Document Retrieval for Problem Solving." In 2009 International Conference on Computer Engineering and Technology (ICCET). IEEE, 2009. http://dx.doi.org/10.1109/iccet.2009.69.

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Chun-Ling Lin, M. Jung, Ying Choon Wu, Chin-Teng Lin, and Hsiao-Ching She. "Brain dynamics of mathematical problem solving." In 2012 34th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC). IEEE, 2012. http://dx.doi.org/10.1109/embc.2012.6347033.

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Rahmawati, Ratih, Mardiyana Mardiana, and Triyanto Triyanto. "Analysis of Studentsr Mathematical Reasoning Ability in Solving Mathematics Problem." In International Conference on Teacher Training and Education 2018 (ICTTE 2018). Paris, France: Atlantis Press, 2018. http://dx.doi.org/10.2991/ictte-18.2018.57.

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Adi Widodo, Sri, T. Turmudi, Jarnawi Afgani Dahlan, I. Istiqomah, and Hanandyo Saputro. "Mathematical Comic Media For Problem Solving Skills." In Joint Workshop KO2PI and The 1st International Conference on Advance & Scientific Innovation. EAI, 2018. http://dx.doi.org/10.4108/eai.23-4-2018.2277592.

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Kishimoto, Sadaya, Mamoru Murakata, Takafumi Nakanishi, Tetsuya Sakurai, and Takashi Kitagawa. "Problem-Solving Support System for Mathematical Sciences." In 2007 IEEE International Workshop on Databases for Next Generation Researchers. IEEE, 2007. http://dx.doi.org/10.1109/swod.2007.353202.

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Sa'dijah, Cholis, Nurrahmawati, Sudirman, Makbul Muksar, and Lathiful Anwar. "Teachers' Representation in Solving Mathematical Word Problem." In ICEMT 2018: 2018 2nd International Conference on Education and Multimedia Technology. New York, NY, USA: ACM, 2018. http://dx.doi.org/10.1145/3206129.3239419.

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Pedaste, Margus, Tauno Palts, Kulli Kori, Maarja Sormus, and Ali Leijen. "Complex Problem Solving as a Construct of Inquiry, Computational Thinking and Mathematical Problem Solving." In 2019 IEEE 19th International Conference on Advanced Learning Technologies (ICALT). IEEE, 2019. http://dx.doi.org/10.1109/icalt.2019.00071.

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Ibrahim, Bashirah, Lin Ding, Daniel R. White, Ryan Badeau, and Andrew F. Heckler. "Synthesis problems: role of mathematical complexity in students' problem solving strategies." In 2016 Physics Education Research Conference. American Association of Physics Teachers, 2016. http://dx.doi.org/10.1119/perc.2016.pr.037.

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Gries, David, Bill Marion, Peter Henderson, and Diane Schwartz. "How mathematical thinking enchances computer science problem solving." In the thirty-second SIGCSE technical symposium. New York, New York, USA: ACM Press, 2001. http://dx.doi.org/10.1145/364447.364754.

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Reports on the topic "Mathematical problem solving"

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Rigelman, Nicole. Teaching Mathematical Problem Solving in the Context of Oregon's Educational Reform. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.1759.

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Enoch, Sarah. Impact of Teachers' Planned Questions on Opportunities for Students to Reason Mathematically in Whole-class Discussions Around Mathematical Problem-solving Tasks. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.1063.

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Hlushak, Oksana M., Svetlana O. Semenyaka, Volodymyr V. Proshkin, Stanislav V. Sapozhnykov, and Oksana S. Lytvyn. The usage of digital technologies in the university training of future bachelors (having been based on the data of mathematical subjects). [б. в.], July 2020. http://dx.doi.org/10.31812/123456789/3860.

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This article demonstrates that mathematics in the system of higher education has outgrown the status of the general education subject and should become an integral part of the professional training of future bachelors, including economists, on the basis of intersubject connection with special subjects. Such aspects as the importance of improving the scientific and methodological support of mathematical training of students by means of digital technologies are revealed. It is specified that in order to implement the task of qualified training of students learning econometrics and economic and mathematical modeling, it is necessary to use digital technologies in two directions: for the organization of electronic educational space and in the process of solving applied problems at the junction of the branches of economics and mathematics. The advantages of using e-learning courses in the educational process are presented (such as providing individualization of the educational process in accordance with the needs, characteristics and capabilities of students; improving the quality and efficiency of the educational process; ensuring systematic monitoring of the educational quality). The unified structures of “Econometrics”, “Economic and mathematical modeling” based on the Moodle platform are the following ones. The article presents the results of the pedagogical experiment on the attitude of students to the use of e-learning course (ELC) in the educational process of Borys Grinchenko Kyiv University and Alfred Nobel University (Dnipro city). We found that the following metrics need improvement: availability of time-appropriate mathematical materials; individual approach in training; students’ self-expression and the development of their creativity in the e-learning process. The following opportunities are brought to light the possibilities of digital technologies for the construction and research of econometric models (based on the problem of dependence of the level of the Ukrainian population employment). Various stages of building and testing of the econometric model are characterized: identification of variables, specification of the model, parameterization and verification of the statistical significance of the obtained results.
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Perdigão, Rui A. P. Earth System Dynamic Intelligence - ESDI. Meteoceanics, April 2021. http://dx.doi.org/10.46337/esdi.210414.

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Earth System Dynamic Intelligence (ESDI) entails developing and making innovative use of emerging concepts and pathways in mathematical geophysics, Earth System Dynamics, and information technologies to sense, monitor, harness, analyze, model and fundamentally unveil dynamic understanding across the natural, social and technical geosciences, including the associated manifold multiscale multidomain processes, interactions and complexity, along with the associated predictability and uncertainty dynamics. The ESDI Flagship initiative ignites the development, discussion and cross-fertilization of novel theoretical insights, methodological developments and geophysical applications across interdisciplinary mathematical, geophysical and information technological approaches towards a cross-cutting, mathematically sound, physically consistent, socially conscious and operationally effective Earth System Dynamic Intelligence. Going beyond the well established stochastic-dynamic, information-theoretic, artificial intelligence, mechanistic and hybrid techniques, ESDI paves the way to exploratory and disruptive developments along emerging information physical intelligence pathways, and bridges fundamental and operational complex problem solving across frontier natural, social and technical geosciences. Overall, the ESDI Flagship breeds a nascent field and community where methodological ingenuity and natural process understanding come together to shed light onto fundamental theoretical aspects to build innovative methodologies, products and services to tackle real-world challenges facing our planet.
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Semerikov, Serhiy O., Illia O. Teplytskyi, Yuliia V. Yechkalo, and Arnold E. Kiv. Computer Simulation of Neural Networks Using Spreadsheets: The Dawn of the Age of Camelot. [б. в.], November 2018. http://dx.doi.org/10.31812/123456789/2648.

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The article substantiates the necessity to develop training methods of computer simulation of neural networks in the spreadsheet environment. The systematic review of their application to simulating artificial neural networks is performed. The authors distinguish basic approaches to solving the problem of network computer simulation training in the spreadsheet environment, joint application of spreadsheets and tools of neural network simulation, application of third-party add-ins to spreadsheets, development of macros using the embedded languages of spreadsheets; use of standard spreadsheet add-ins for non-linear optimization, creation of neural networks in the spreadsheet environment without add-ins and macros. After analyzing a collection of writings of 1890-1950, the research determines the role of the scientific journal “Bulletin of Mathematical Biophysics”, its founder Nicolas Rashevsky and the scientific community around the journal in creating and developing models and methods of computational neuroscience. There are identified psychophysical basics of creating neural networks, mathematical foundations of neural computing and methods of neuroengineering (image recognition, in particular). The role of Walter Pitts in combining the descriptive and quantitative theories of training is discussed. It is shown that to acquire neural simulation competences in the spreadsheet environment, one should master the models based on the historical and genetic approach. It is indicated that there are three groups of models, which are promising in terms of developing corresponding methods – the continuous two-factor model of Rashevsky, the discrete model of McCulloch and Pitts, and the discrete-continuous models of Householder and Landahl.
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Osipov, Gennadij Sergeevich, Natella Semenovna Vashakidze, and Galina Viktorovna Filippova. About solving inverse problems for fuzzy matches in the Wolfram Mathematica. Постулат, 2018. http://dx.doi.org/10.18411/postulat-2018-1.

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Marshall, Sandra P. Content Effects in Mathematics Problem Solving. A Possible Source of Test Bias? Fort Belvoir, VA: Defense Technical Information Center, April 1991. http://dx.doi.org/10.21236/ada235560.

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Zinonos, Natalya O., Elena V. Vihrova, and Andrey V. Pikilnyak. Prospects of Using the Augmented Reality for Training Foreign Students at the Preparatory Departments of Universities in Ukraine. CEUR-WS.org, November 2018. http://dx.doi.org/10.31812/123456789/2657.

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The purpose of the study is to highlight the potential and the prospects of using the augmented reality in the mathematical education for foreign students at the preparatory departments of universities. Objectives of the study: to determine the peculiarities of the virtualization of the training of foreign students at the preparatory departments of universities, as well as the possibilities of using the technology of complementary reality in the teaching of mathematics. Object of research: a virtually oriented educational environment of foreign students at the preparatory departments of universities. Subject of research: virtualization of learning with the augmented reality of mathematical education of foreign students at the preparatory departments of universities. Used research methods: theoretical – analysis of scientific and methodological literature; empirical-study, observation of the educational process. Results of the research: on the basis of the analysis of scientific publications, the notion of virtualization of education and the virtually oriented educational environment of foreign students at the preparatory departments of higher educational institutions is described. The main conclusions and recommendations: 1) the article outlines the possibilities and prospects of using the augmented reality in the mathematical education for foreign students at the preparatory departments of universities; 2) the considering the various targets of mobile applications, which are used in solving mathematical problems, as well as analysis of the characteristics of various practical achievements of using the augmented reality in the mathematical preparation for foreign students at the preparatory departments of universities, it is planned to devote a separate work.
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Osipov, G. S., N. S. Vashakidze, and G. V. Filippova. Basics of solving optimization problems on graphs in the Wolfram Mathematica computer algebra package. Постулат, 2019. http://dx.doi.org/10.18411/postulat-2019-3-36.

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Modlo, Yevhenii O., Serhiy O. Semerikov, Ruslan P. Shajda, Stanislav T. Tolmachev, and Oksana M. Markova. Methods of using mobile Internet devices in the formation of the general professional component of bachelor in electromechanics competency in modeling of technical objects. [б. в.], July 2020. http://dx.doi.org/10.31812/123456789/3878.

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The article describes the components of methods of using mobile Internet devices in the formation of the general professional component of bachelor in electromechanics competency in modeling of technical objects: using various methods of representing models; solving professional problems using ICT; competence in electric machines and critical thinking. On the content of learning academic disciplines “Higher mathematics”, “Automatic control theory”, “Modeling of electromechanical systems”, “Electrical machines” features of use are disclosed for Scilab, SageCell, Google Sheets, Xcos on Cloud in the formation of the general professional component of bachelor in electromechanics competency in modeling of technical objects. It is concluded that it is advisable to use the following software for mobile Internet devices: a cloud-based spreadsheets as modeling tools (including neural networks), a visual modeling systems as a means of structural modeling of technical objects; a mobile computer mathematical system used at all stages of modeling; a mobile communication tools for organizing joint modeling activities.
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