Academic literature on the topic 'Number sense and operation'

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Journal articles on the topic "Number sense and operation"

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McDowell, Eric L. "Mediants Make (Number) Sense of Fraction Foibles." Mathematics Teacher 110, no. 1 (2016): 18–24. http://dx.doi.org/10.5951/mathteacher.110.1.0018.

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Sammons, Kay B., Beth Kobett, and Francis (Skip) Fennell. "Ideas." Arithmetic Teacher 39, no. 7 (1992): 18–25. http://dx.doi.org/10.5951/at.39.7.0018.

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The IDEAS section for this month emphasizes number sense. Number sense is an important component of any contemporary mathematics program. Number sense is the basic skill of the decade. It is the intuition for knowing when an answer is close or correct. Number sense involves the development of number meaning, a feel for magnitude of numbers, and operation sense. Students with number sense also use estimation and mental mathematics with proficiency. This month's kite theme allows students to use their number sense as they involve comparison and ordering, magnitude of numbers, and operation sense
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Gomez, Cristina, and Dani Novak. "Oki-Doku: Number Puzzles." Teaching Children Mathematics 20, no. 7 (2014): 436–42. http://dx.doi.org/10.5951/teacchilmath.20.7.0436.

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Wulandari, Nourma Pramestie, Vivi Rachmatul Hidayati, Dwi Novitasari, Tabita Wahyu Triutami, and Ulfa Lu’luilmaknun. "INVESTIGATING THE NUMBER SENSE ABILITY OF PRE-SERVICE MATHEMATICS TEACHERS." MaPan 8, no. 1 (2020): 76. http://dx.doi.org/10.24252/mapan.2020v8n1a6.

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Abstract:This research aims to identify the components of number sense of pre-service mathematics teachers. Pre-service mathematics teachers need a good number sense ability as a provision to transfer knowledge to students. This research uses a quantitative method. Subjects in this research are 14 third year pre-service mathematics teachers. The instrument used was in the form of 30 items of number sense questions that were developed based on number sense components, that is, understanding and skills about numbers, using number and operations on numbers, and using number and operation skills i
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Reys, Barbara J. "Promoting Number Sense in the Middle Grades." Mathematics Teaching in the Middle School 1, no. 2 (1994): 114–20. http://dx.doi.org/10.5951/mtms.1.2.0114.

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Phrases such as “number sense,” “Operation sense,” and “intuitive understanding of number” are used throughout the Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) to describe an intangible quality possessed by successful mathematics learners. Number sense refers to an intuitive feeling for numbers and their various uses and interpretations, an appreciation for various levels of accuracy when computing, the ability to detect arithmetical errors, and a common-sense approach to using numbers (Howden 1989; McIntosh, Reys, and Reys 1991). Number sense is not a finite entity t
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Trafton, Paul R., and Judith S. Zawojewski. "Implementing The Standards: Meanings of Operations." Arithmetic Teacher 38, no. 3 (1990): 18–22. http://dx.doi.org/10.5951/at.38.3.0018.

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“Carlos finally understands subtraction! He got nine of the ten exercises correct, and every one of them involved renaming.” Statements like this confuse students' computational proficiency with their understanding of an operation. Ironically, this student's understanding of the operation of subtraction may be very shallow. We often give too little attention to building and assessing concepts of operations, yet this is one of three important components of teaching and learning about number that are included in the NCTM's Curriculum and Evaluation Standards for School Mathematics (1989). The fi
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Thornton, Carol A., and Sally C. Tucker. "Lesson Planning: The Key to Developing Number Sense." Arithmetic Teacher 36, no. 6 (1989): 18–21. http://dx.doi.org/10.5951/at.36.6.0018.

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Building number sense starts by planning experiences that help children understand the size of number, operations on numbers, and relationships between numbers. The two example that follow illustrate children's use of good number sense.
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Ortiz, Enrique. "A Game Involving Fraction Squares." Teaching Children Mathematics 7, no. 4 (2000): 218–22. http://dx.doi.org/10.5951/tcm.7.4.0218.

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Fractions are a major area of concept and skill study in elementary school mathematics. The game in this article helps students practice many of these concepts and skills in a motivational and informal setting. The major concepts covered by this game include identifying fractions, equivalent fractions, and improper fractions; performing operations with fractions; and reading and writing numerals for fractions. This game also helps develop number sense and uses models to explore operation sense with fractions. The emphasis is on developing and understanding fraction concepts and operations.
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Bruno, Alicia, and Rut Almeida. "Establishing profiles on the use of number sense." Journal of Research in Mathematics Education 6, no. 1 (2017): 56. http://dx.doi.org/10.17583/redimat.2017.1910.

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Number sense includes the ability to use numbers and operations in a flexible and reasonable way. This work presents a case study on the use of number sense by eighth grade students (13-14 years old). We analyse individual interviews of eleven students that include number tasks that can be solved using strategies associated with number sense. By studying the strategies used by the students to answer the questions, we establish four profiles based on their preference for using number sense strategies, rules or algorithms, or on their lack of knowledge of basic number concepts.
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Yang, Der-Ching, and Robert E. Reys. "Take Time for Action: One Fraction Problem, Many Solution Paths." Mathematics Teaching in the Middle School 7, no. 3 (2001): 164–66. http://dx.doi.org/10.5951/mtms.7.3.0164.

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Developing number sense is an important goal of mathematics programs. For example, the Number and Operations Standard in NCTM's Principles and Standards for School Mathematics states, “Central to this Standard is the development of number sense”(NCTM 2000, p. 32). Number sense is a complex process involving many different components of number and operations on numbers (McIntosh, Reys, and Reys 1992). Furthermore, number sense is of international interest and concern. Research documenting that students who are skilled in written computation but who do not necessarily show good number sense has
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Dissertations / Theses on the topic "Number sense and operation"

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Lopes, Ana Paula. "Desenvolvimento do sentido de número no ensino básico: um estudo no sétimo ano de escolaridade." Master's thesis, Universidade de Évora, 2010. http://hdl.handle.net/10174/20773.

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A sociedade contemporânea exige do cidadão raciocínio quantitativo e os novos paradigmas económico-sociais colocam a Matemática escolar perante um novo desafio: desenvolver a literacia matemática dos alunos. A literacia matemática contempla um vasto conjunto de conhecimentos e capacidades entre eles o sentido de número. O desenvolvimento do sentido de número dos alunos tem suscitado alguns trabalhos de pesquisa, em particular ao nível do primeiro e segundo ciclos do Ensino Básico. O objectivo desde estudo é recolher evidências sobre o sentido de número de alunos do terceiro ciclo, mais concret
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Rasmusson, Malin. "Teaching Number Sense to Kindergarteners." Thesis, Malmö högskola, Lärarutbildningen (LUT), 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:mau:diva-34824.

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Då jag tidigare besökt förskoleklasser i USA har jag förvånats över hur mycket tid som ägnats åt laborativ matematik. När nationella läroplanen i matematik i USA, Principles and Standards for School Mathematics, omarbetades blev fokus inom matematik att arbeta för att stärka elevers taluppfattning. Lockad av tidigare erfarenheter från det amerikanska skolsystemet beslutade jag mig därför för göra en deltagande observation med löpande protokoll för att se hur man arbetar med taluppfattning i en förskoleklass i Texas. Under observationen fokuserade jag på att se samband mellan undervisningen, l
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Moomaw, Sally Coup. "Measuring Number Sense in Young Children." University of Cincinnati / OhioLINK, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1204156224.

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Mellott, Mallory. "The Effects of 'Number Talks' on Number Sense in a Second Grade Math Class." Otterbein University / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=otbn1594306261084857.

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Forslund, Lena. "Taluppfattningens betydelse i matematiken : Undervisning och bedömning av taluppfattning och skriftliga räknemetoder ur ett lärarperspektiv." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-25621.

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Syftet med studien är att bidra till ökad förståelse av och fördjupad kunskap om taluppfattningens och skriftliga räknemetoders betydelse för hinder i elevers matematikutveckling, särskilt avseende addition och subtraktion, samt undersöka hur lärare arbetar med dessa områden för att förebygga och möta hinder för matematikutveckling. Elevers matematikkunskaper sjunker och på senare år har brister i taluppfattning uppmärksammats som en möjlig orsak. Denna studie med kvalitativ ansats har intervjuer och skriftliga dokument som datainsamlingsmetod. Hur uppfattar nio lärare som undervisar i år 1-6
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Hanrahan, Frances M., and res cand@acu edu au. "Number Sense or No Sense: Pre-service teachers learning the mathematics they are required to teach." Australian Catholic University. School of Education, 2002. http://dlibrary.acu.edu.au/digitaltheses/public/adt-acuvp19.16082005.

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As a result of two years working with the pre-service primary teachers in a College in Fiji I became aware of the difficulty many of the students were having understanding the primary school mathematics they would be required to teach. During that time I had attempted to help them overcome the difficulties by using different teaching approaches and activities but was far from satisfied with my efforts. Hence I decided to make a concerted effort to help the students by planning, implementing and partially evaluating a mathematics education unit, known as the Teaching Program for the first semes
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Hanrahan, Frances M. "Number sense or no sense : pre-service teachers learning the mathematics they are required to teach /." Fitzroy, Vic. : Australian Catholic University, 2002. http://dlibrary.acu.edu.au/digitaltheses/public/adt%2Dacuvp19.16082005.

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Thesis (Ed.D.) -- Australian Catholic University, (2002).<br>"A thesis submitted in partial fulfilment of the requirements for the Degree of Doctor of Education. Bibliography: p. 279-293. Also available in an electronic format via the internet.
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Chow, Valeen Marie. "Elementary teachers' thinking (beliefs) about number sense and its pedagogy." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp05/MQ65095.pdf.

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Mathews, Elizabeth Leigh. "Improving a Second Grade Student's Number Sense: An Instructional Intervention." MSSTATE, 2007. http://sun.library.msstate.edu/ETD-db/theses/available/etd-04082007-162641/.

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The purpose of this qualitative case study was to help a second grade student, who struggled with mathematics but excelled in reading, to develop a conceptual understanding of number sense, using a teacher researcher-created intervention. The five-step, one-on-one intervention included the following: (1) use trade books to build mathematical knowledge and vocabulary (2) teacher modeling of concepts, (3) guided practice with manipulatives, (4) review using games and a ?Fact Pack?, and (5) journal writing to explain concepts. The Early Mathematics Assessment-3 (TEMA-3) was used as a pre- and pos
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Harris, Callie. "The impact on computational fluency through instruction in number sense." Thesis, A link to full text of this thesis in SOAR, 2008. http://hdl.handle.net/10057/2047.

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Books on the topic "Number sense and operation"

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Burton, Grace M. Number sense and operations. National Council of Teachers of Mathematics, 1993.

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Number sense. Continental Press, 1997.

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McIntosh, Alistair. Number sense: Simple efffective number sense experiences. Dale Seymour Publications, 1997.

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Kelly, Brendan. Number sense & numeration. Ontario Ministry of Education and Training, 1999.

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Kliman, Marlene. Building number sense: The number system. Dale Seymour Publications, 1998.

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Kliman, Marlene. Building number sense: The number system. Dale Seymour Publications, 1998.

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Mary, Stroh, and Sopris West Inc, eds. TransMath: Developing number sense. Cambium Learning/Sopris West, 2010.

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Confer, Chris. Teaching number sense, kindergarten. Math Solutions Publications, 2005.

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Teaching number sense, grade 1. Math Solutions Publications, 2005.

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Teaching number sense, grade 2. Math Solutions Publications, 2005.

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Book chapters on the topic "Number sense and operation"

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Staves, Les. "About number sense." In Very Special Maths. Routledge, 2018. http://dx.doi.org/10.4324/9781315638348-28.

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Staves, Les. "An approximate number sense." In Very Special Maths. Routledge, 2018. http://dx.doi.org/10.4324/9781315638348-30.

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Westphal, Laurie E. "Numbers and Number Sense Menus." In Differentiating Instruction With Menus for the Inclusive Classroom Math. Routledge, 2021. http://dx.doi.org/10.4324/9781003234265-6.

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Westphal, Laurie E. "Numbers and Number Sense Menus." In Differentiating Instruction With Menus Advanced-Level Menus Grades K-2. Routledge, 2021. http://dx.doi.org/10.4324/9781003234494-6.

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Thissen-Roe, Anne, and Lewis Baker. "Estimating Approximate Number Sense (ANS) Acuity." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-74772-5_8.

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Staves, Les. "An exact number sense for small quantities." In Very Special Maths. Routledge, 2018. http://dx.doi.org/10.4324/9781315638348-29.

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Husserl, Edmund. "The Sense of the Statement of Number." In Philosophy of Arithmetic. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-010-0060-4_10.

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Serrazina, Lurdes, and Margarida Rodrigues. "Number Sense and Flexibility of Calculation: A Common Focus on Number Relations." In Mathematical Reasoning of Children and Adults. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69657-3_2.

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White, Jeanne, and Linda Dauksas. "Establishing Problem-Solving Routines to Promote Number Sense." In Engaging Preschoolers in Mathematics. Routledge, 2019. http://dx.doi.org/10.4324/9781315200736-3.

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Zhou, Yiwei, and Huanwen Chen. "The Role of Training in Visual Number Sense." In Advances in Intelligent Automation and Soft Computing. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-81007-8_77.

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Conference papers on the topic "Number sense and operation"

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Newman, S. M., and O. J. Simmonds. "General Purpose Frigate Low-Speed Electric Drive - When does it Make Sense?" In 14th International Naval Engineering Conference and Exhibition. IMarEST, 2018. http://dx.doi.org/10.24868/issn.2515-818x.2018.060.

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Light Frigates (LFs), like many warships, will spend a reasonable amount of sea time at low speeds. By definition, the LF has to be capable yet affordable, a difficult balance to strike, but a dichotomy which has to be addressed particularly given the cost pressures our world’s navies are under. Whilst low engine loading at loiter speeds may lead to fuel inefficiency and increased maintenance burden, a purely mechanical Combined Diesel and Diesel (CODAD) propulsion system is attractive from a simplicity perspective. Hybrid propulsion architectures, using electrical machines as motors for low-s
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Sharma, Himanshu, Veronica Adetola, Laurentiu Marinovici, and Herbert T. Schaef. "Data Driven Approach to Analyzing The Impact of Power Plant Cycling on Air Preheater Degradation and Remaining Useful Life." In ASME Turbo Expo 2021: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/gt2021-59914.

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Abstract Due to the increased penetration of renewable energy generation sources, and fluctuations of the oil and gas prices, modern coal burning power plants deal with increased variability in the demand for power generation. These varying demands result in their intermittent under-capacity operation (cycling). Periodical ramping down and back up to follow the daily power demands causes damages to the plant components reducing its operational life. In this paper we analyze the impact of cycling on a rotary Ljungstrom air preheater (APH) unit installed at a coal fire power plant in the US. An
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Del Greco, Alberto Scotti, and Libero Tapinassi. "On the Combined Effect on Operating Range of Adjustable IGVs and Variable Speed in Process Multistage Centrifugal Compressors." In ASME Turbo Expo 2013: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/gt2013-95645.

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Adjustable inlet guide vanes (IGVs) and variable speed drivers are known as providing process compressors with an effective regulation all throughout the operating envelope of the machine. A large number of works exists in literature reporting the successful control of multistage centrifugal compressors by means of IGVs or speed separately, while a few studies document the combined use of both devices and their effect on compressor performance. The present paper details the off-design behavior of a multistage centrifugal compressor equipped with both types of control. It is shown that classica
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Ambarita, Monica Roito, Wardani Rahayu, and Asep Supena. "Number Sense Ability." In ICLIQE 2020: The 4th International Conference on Learning Innovation and Quality Education. ACM, 2020. http://dx.doi.org/10.1145/3452144.3452225.

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Sabeghi, Maryam, Rishabh Shukla, Janet K. Allen, and Farrokh Mistree. "Solution Space Exploration of the Process Design for Continuous Casting of Steel." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59399.

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Continuous casting is the process of solidifying molten metal to produce different products such as billet, bloom, or slab. This process can be formulated mathematically in terms of conflicting objectives including productivity, yield, quality and production costs to satisfy sets of constraints such as oscillation mark depth, metallurgical length and center line segregation. The objectives are conflicting in the sense that, if the productivity is increased, there is a reduction in other performance measures. These performance specifications are greatly influenced by operating conditions such a
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Slater, Simon. "Modern Approaches to Crack Arrest." In ASME 2002 21st International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/omae2002-28586.

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In modern day structures fracture initiation cannot be excluded in an absolute sense, defects may exist that when subjected to the operating stress may form brittle propagating cracks. In such cases an assessment of the crack arrest capability of the steel may be required to ensure structural integrity. This paper aims to give a review of existing crack arrest assessment procedures discussing their respective advantages and limitations. In addition a number of modern approaches currently being developed will be introduced and their capabilities compared to existing procedures.
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Adkins, Amy B., and Ceci Turman. "NUMBER SENSE IPAD APPS." In International Conference on Education and New Learning Technologies. IATED, 2017. http://dx.doi.org/10.21125/edulearn.2017.2560.

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Ji-Ge, Zhang, and Zhu Yue. "Stress Analysis of the Canned Nuclear Coolant Pump Based on FSI." In 2014 22nd International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/icone22-30587.

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The reactor coolant pump (RCP) is one of the most important components in nuclear power plants. It operated in high temperature, high-pressure, high speed and radiative environment, so a long-term security and reliable operations is required. Many internal flow analysis of RCPs was carried out, mainly foucs on steady and unsteady flow field at different operating points in RCP. The research about flow passage components, such as the blade of the RCP, is relatively few. When the RCPs operates in the nuclear power plant, the flow field lashed against the impeller of the RCP, results in a network
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Spakovszky, Zoltán S. "Instabilities Everywhere! Hard Problems in Aero-Engines." In ASME Turbo Expo 2021: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/gt2021-60864.

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Abstract Many of the challenges that limited aero-engine operation in the 1950s, 60s, 70s and 80s were static in nature: hot components exceeding temperature margins, stresses in the high-speed rotating structure approaching safety limits, and turbomachinery aerodynamic efficiencies missing performance goals. Modeling tools have greatly improved since and have helped enhance jet engine design, largely due to better computers and improved simulations of the fluid flow and supporting structure. The situation is thus different today, where important problems encountered past the design and develo
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Tannuri, Eduardo A., Tiago T. Bravin, Alexandre N. Simos, Karime H. Alves, Kazuo Nishimoto, and Marcos D. Ferreira. "Dynamic Simulation of Offloading Operation Considering Wave Interaction Between Vessels." In ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51118.

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Almost all simulators of offshore systems evaluate wave forces using frequency-domain potential analysis. A wave analysis software is previously executed, considering several incidence angles and generating a data base which is used by the simulator. This database contains drift coefficients, RAOs and exciting forces for all incidences. During the simulation, the simulator only performs queries depending on the actual heading of the vessel related to waves. The simulation of multi-body systems cannot be performed in the same way, since the relative positions of the bodies change during simulat
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Reports on the topic "Number sense and operation"

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Needham, Paul, and Christopher Snyder. Speed and the Fog of War: Sense and Respond Logistics in Operation Iraqi Freedom-I. Defense Technical Information Center, 2009. http://dx.doi.org/10.21236/ada493435.

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Lamb, Sr, and Michael W. Operation Allied Force. Golden Nuggets for Future Campaigns (Maxwell Paper, Number 27). Defense Technical Information Center, 2002. http://dx.doi.org/10.21236/ada407618.

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Theisen, Eric E. Ground-Aided Precision Strike. Heavy Bomber Activity in Operation Enduring Freedom (Maxwell Paper, Number 31). Defense Technical Information Center, 2003. http://dx.doi.org/10.21236/ada416612.

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PARSONS ENGINEERING SCIENCE INC DENVER CO. Operation and Maintenance Manual for Bioventing Pilot Testing Systems Spill Site Number 1, Building 457, and UST 702, Eaker Air Force Base, Blytheville, Arkansas. Defense Technical Information Center, 1996. http://dx.doi.org/10.21236/ada384361.

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Emmerson, Stephen. Modulations through time. Norges Musikkhøgskole, 2018. http://dx.doi.org/10.22501/nmh-ar.530427.

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This article explores the rationale behind a performance given by the authors at the Unfolding the Process symposium held in Oslo in November 2015. For this occasion, the authors devised a new version of Bach’s Goldberg Variations that builds upon Emmerson’s arrangement of the work for two pianos in 2012. A shortened version of the work (c.30 minutes) was designed that aimed nonetheless to maintain the original work’s sense of structural balance and coherence. This version involved the transposition of a number of variations into different keys to explore the possibility of adding a satisfying
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Suh, Jooyeoun, Changa Dorji, Valerie Mercer-Blackman, and Aimee Hampel-Milagrosa. Valuing Unpaid Care Work in Bhutan. Asian Development Bank, 2020. http://dx.doi.org/10.22617/wps200065-2.

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A growing body of scholarly literature has attempted to measure and value unpaid care work in various countries, but perhaps only the government statistical agencies in the United States and the United Kingdom have seriously undertaken periodic and systematic measures of the time spent on unpaid work at the national level, and partially incorporated those values into their gross domestic product(GDP). One country that has been ahead of its time on aspects of societal welfare measurement is Bhutan, which produces the Gross National Happiness (GNH) Index. However, until the first GNH Survey, in
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Ripey, Mariya. NUMBERS IN THE NEWS TEXT (BASED ON MATERIAL OF ONE ISSUE OF NATIONWIDE NEWSPAPER “DAY”). Ivan Franko National University of Lviv, 2021. http://dx.doi.org/10.30970/vjo.2021.50.11106.

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The article is devoted to the analysis of the digital content of publications of one issue of the daily All-Ukrainian newspaper “Den” (March 13-14, 2020). The author aims to identify the main thematic groups of digital designations, as well as to consider cases of justified and unsuccessful use of digital designations. Applying the content analysis method, the author identifies publications that contain numerical notations, determines the number of such notations and their affiliation with the main subject groups. Finds that the thematic group of digital designations “time” (58.6% of all digit
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Ruosteenoja, Kimmo. Applicability of CMIP6 models for building climate projections for northern Europe. Finnish Meteorological Institute, 2021. http://dx.doi.org/10.35614/isbn.9789523361416.

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In this report, we have evaluated the performance of nearly 40 global climate models (GCMs) participating in Phase 6 of the Coupled Model Intercomparison Project (CMIP6). The focus is on the northern European area, but the ability to simulate southern European and global climate is discussed as well. Model evaluation was started with a technical control; completely unrealistic values in the GCM output files were identified by seeking the absolute minimum and maximum values. In this stage, one GCM was rejected totally, and furthermore individual output files from two other GCMs. In evaluating t
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Rodrigo, Maria Fernanda, Claudia Figueroa, Oliver Peña-Habib, Xiomara Rojas-Asqui, and Melanie Putic. OVE's Review of Project Completion Reports (PCRs) and Expanded Supervision Reports (XSRs): The 2020 Validation Cycle. Inter-American Development Bank, 2020. http://dx.doi.org/10.18235/0002944.

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This report summarizes the results of the Office of Evaluation and Oversight's (OVE) annual validation of the self-assessments of project performance and results completed by the Inter-American Development Bank (IDB) and IDB Invest in 2019-2020. The IDB and IDB Invest have systems in place to measure the development effectiveness of their operations. These systems use a number of instruments to assess projects at the design, implementation, and completion phases. The design-phase assessment uses a “Development Effectiveness Matrix” (DEM) for sovereign guaranteed (SG) operations. The effectiven
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Kuznetsov, Victor, Vladislav Litvinenko, Egor Bykov, and Vadim Lukin. A program for determining the area of the object entering the IR sensor grid, as well as determining the dynamic characteristics. Science and Innovation Center Publishing House, 2021. http://dx.doi.org/10.12731/bykov.0415.15042021.

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Currently, to evaluate the dynamic characteristics of objects, quite a large number of devices are used in the form of chronographs, which consist of various optical, thermal and laser sensors. Among the problems of these devices, the following can be distinguished: the lack of recording of the received data; the inaccessibility of taking into account the trajectory of the object flying in the sensor area, as well as taking into consideration the trajectory of the object during the approach to the device frame. The signal received from the infrared sensors is recorded in a separate document in
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