Works matching Rational numbers

Results: 2808

Öğretmen Adaylarının Rasyonel Sayılara İlişkin Zihin Haritaları: Pirie-Kieren Teorisi.

Published in:

Journal of National Education / Millî Eğitim Dergisi, 2024, n. 241, p. 133, doi. 10.37669/milliegitim.1141497

By:

ŞENGÜL, Sare;
KIRAL DEMİR, Büşra

Publication type:

Article

Indícios de aprendizagens de alunos de 4º ano sobre os números racionais envolvendo o significado de quociente.

Published in:

Educação Matemática Pesquisa, 2021, v. 23, n. 1, p. 632, doi. 10.23925/1983-3156.2021v23i1p632-654

By:

Zaggia Utimura, Grace;
Curi, Edda

Publication type:

Article

Epistemological Matrix of Rational Number: a Look at the Different Meanings of Rational Numbers.

Published in:

International Journal of Science & Mathematics Education, 2020, v. 18, n. 2, p. 357, doi. 10.1007/s10763-019-09965-4

By:

Elias, Henrique Rizek;
Ribeiro, Alessandro Jacques;
Savioli, Angela Marta Pereira das Dores

Publication type:

Article

STRUCTURING SYSTEMS OF NATURAL, POSITIVE RATIONAL, AND RATIONAL NUMBERS.

Published in:

Teaching of Mathematics, 2019, v. 22, n. 1, p. 1

By:

Marjanović, Milosav M.;
Kadelburg, Zoran

Publication type:

Article

9. Sınıf Öğrencilerinin Rasyonel Sayılar Kümesinin Yoğunluğunu Anlama Düzeyleri.

Published in:

Education & Science / Egitim ve Bilim, 2014, v. 39, n. 171, p. 286

By:

AKTAŞ, Meral CANSIZ;
AKTAŞ, Devrim Yaşar;
APAYDIN, Zeki

Publication type:

Article

Numerical magnitude understanding of natural and rational numbers in secondary-school students: a number line estimation study: Numerical magnitude understanding of natural and rational numbers in secondary-school students: a number line estimation study: K. J. MacKay et al

Published in:

Educational Studies in Mathematics, 2025, v. 118, n. 3, p. 429, doi. 10.1007/s10649-023-10291-4

By:

MacKay, Kelsey J.;
Germeys, Filip;
Van Dooren, Wim;
Verschaffel, Lieven;
Luwel, Koen

Publication type:

Article

Mis-Out and Mis-In Examples: The Case of Rational Numbers: Mis-out and mis-in examples: The case of rational numbers: Tirosh and Tsamir.

Published in:

International Journal of Science & Mathematics Education, 2025, v. 23, n. 3, p. 617, doi. 10.1007/s10763-024-10479-x

By:

Tirosh, Dina;
Tsamir, Pessia

Publication type:

Article

Taking Rational Numbers at Random.

Published in:

AppliedMath, 2023, v. 3, n. 3, p. 648, doi. 10.3390/appliedmath3030034

By:

Petroni, Nicola Cufaro

Publication type:

Article

Middle-school mathematics teachers' provision of non-examples and explanations in rational number instruction.

Published in:

International Journal of Mathematical Education in Science & Technology, 2024, v. 55, n. 6, p. 1391, doi. 10.1080/0020739X.2022.2105759

By:

Avcu, Ramazan

Publication type:

Article

Matematik Öğretmenlerinin Rasyonel Sayılar Konusunda Öğrencilerin Yaşadıkları Öğrenme Güçlüklerine Sundukları Öneriler.

Published in:

Celal Bayar University Journal of Social Sciences / Celal Bayar Üniversitesi Sosyal Bilimler Dergisi, 2020, v. 18, n. 3, p. 153, doi. 10.18026/cbayarsos.638607

By:

Doruk, Muhammet

Publication type:

Article

Student Teachers' and Experienced Teachers' Professional Vision of Students' Understanding of the Rational Number Concept.

Published in:

Educational Psychology Review, 2021, v. 33, n. 1, p. 109, doi. 10.1007/s10648-020-09536-y

By:

Pouta, Maikki;
Lehtinen, Erno;
Palonen, Tuire

Publication type:

Article

Which Type of Rational Numbers Should Students Learn First?

Published in:

Educational Psychology Review, 2018, v. 30, n. 2, p. 351, doi. 10.1007/s10648-017-9417-3

By:

Tian, Jing;
Siegler, Robert S.

Publication type:

Article

The concept of rational numbers in secondary and higher education: a systematic review of the literatura in latin america.

Published in:

Educação Matemática Pesquisa, 2024, v. 26, n. 4, p. 211, doi. 10.23925/1983-3156.2024v26i4p211-238

By:

Penteado Farves, Aline Mendes;
Fusaro Pinto, Marcia Maria

Publication type:

Article

Uma trajetória na aprendizagem dos números racionais através da percentagem.

Published in:

Educação Matemática Pesquisa, 2018, v. 20, n. 1, p. 359, doi. 10.23925/1983-3156.2018v20i1p359-384

By:

GIL GUERREIRO, HELENA;
SERRAZINA, LURDES;
PEDRO DA PONTE, JOÃO

Publication type:

Article

Números racionais e estrutura algébrica corpo: problematizando o currículo da formação inicial de professores de Matemática.

Published in:

Educação Matemática Pesquisa, 2017, v. 19, n. 3, p. 182, doi. 10.23925/1983-3156.2017v19i3p182-208

By:

ELIAS, HENRIQUE RIZEK;
PEREIRA DAS DORES SAVIOLI, ANGELA MARTA;
RIBEIRO, ALESSANDRO JACQUES

Publication type:

Article

In-Service Teachers’ Content and Pedagogical Content Knowledge in Mental Calculations with Rational Numbers.

Published in:

International Journal of Science & Mathematics Education, 2018, v. 16, n. 6, p. 1127, doi. 10.1007/s10763-017-9822-6

By:

Lemonidis, Charalampos;
Tsakiridou, Helen;
Meliopoulou, Ioanna

Publication type:

Article

RATIONAL NUMBER AND PROPORTIONAL REASONING: USING INTENSIVE QUANTITIES TO PROMOTE ACHIEVEMENT IN MATHEMATICS AND SCIENCE.

Published in:

International Journal of Science & Mathematics Education, 2011, v. 9, n. 2, p. 391, doi. 10.1007/s10763-010-9249-9

By:

Howe, Christine;
Nunes, Terezinha;
Bryant, Peter

Publication type:

Article

COMPARING US AND JAPANESE ELEMENTARY SCHOOL TEACHERS' FACILITY FOR LINKING RATIONAL NUMBER REPRESENTATIONS.

Published in:

International Journal of Science & Mathematics Education, 2007, v. 5, n. 1, p. 165, doi. 10.1007/s10763-006-9040-0

By:

Moseley, Bryan James;
Okamoto, Yukari;
Ishida, Junichi

Publication type:

Article

On counting the rational numbers.

Published in:

International Journal of Mathematical Education in Science & Technology, 2010, v. 41, n. 8, p. 1096, doi. 10.1080/0020739X.2010.500695

By:

Almada, Carlos

Publication type:

Article

Expanding the CBAL™ Mathematics Assessments to Elementary Grades: The Development of a Competency Model and a Rational Number Learning Progression.

Published in:

ETS Research Reports Series, 2014, v. 2014, n. 1, p. 1, doi. 10.1002/ets2.12008

By:

Arieli-Attali, Meirav;
Cayton-Hodges, Gabrielle

Publication type:

Article

Semiotic Representations in The Learning of Rational Numbers by 2nd Grade Portuguese Students.

Published in:

International Electronic Journal of Elementary Education, 2021, v. 13, n. 5, p. 611, doi. 10.26822/iejee.2021.216

By:

Viseu, Floriano;
Luísa Pires, Ana;
Menezes, Luís;
Maria Costa, Ana

Publication type:

Article

COMPLEX RATIONAL NUMBERS IN QUANTUM MECHANICS.

Published in:

International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2006, v. 20, n. 11-13, p. 1730, doi. 10.1142/S021797920603425X

By:

Benioff, Paul

Publication type:

Article

Encoding of Rational Numbers and Their Homomorphic Computations for FHE-Based Applications.

Published in:

International Journal of Foundations of Computer Science, 2018, v. 29, n. 6, p. 1023, doi. 10.1142/S0129054118500193

By:

Chung, Heewon;
Kim, Myungsun

Publication type:

Article

A game-based approach to promoting adaptive rational number knowledge.

Published in:

Mathematical Thinking & Learning, 2024, v. 26, n. 4, p. 411, doi. 10.1080/10986065.2023.2177818

By:

McMullen, Jake;
Koskinen, Antti;
Kärki, Tomi;
Lindstedt, Antero;
Määttä, Saku;
Halme, Hilma;
Lehtinen, Erno;
Hannula-Sormunen, Minna M.;
Kiili, Kristian

Publication type:

Article

Profiles in understanding operations with rational numbers.

Published in:

Mathematical Thinking & Learning, 2022, v. 24, n. 3, p. 230, doi. 10.1080/10986065.2021.1882287

By:

González-Forte, Juan Manuel;
Fernández, Ceneida;
Van Hoof, Jo;
Van Dooren, Wim

Publication type:

Article

Number sense in the transition from natural to rational numbers.

Published in:

British Journal of Educational Psychology, 2017, v. 87, n. 1, p. 43, doi. 10.1111/bjep.12134

By:

Van Hoof, Jo;
Verschaffel, Lieven;
Van Dooren, Wim

Publication type:

Article

Teaching the Concept of Unit in Measurement Interpretation of Rational Numbers.

Published in:

Ilkogretim Online, 2008, v. 7, n. 3, p. 693

By:

Yanik, H. Bahadir;
Helding, Brandon;
Flores, Alfinio

Publication type:

Article

Efectividad del uso de la aplicación GeoGebra en la resolución de problemas con números racionales.

Published in:

Religación: Revista de Ciencias Sociales y Humanidades, 2024, v. 9, n. 40, p. 1, doi. 10.46652/rgn.v9i40.1198

By:

Rosado Rosado, Karla Johana;
Acaro Lapo, Gloria Piedad;
Cárdenas Chicaiza, Edwin Vinicio;
Valencia Nuñez, Edison Roberto

Publication type:

Article

Rasyonel Sayılar Konusu ile İlgili Kavram Yanılgılarının Giderilmesinde Kavramsal Değişim Yaklaşımının Etkisinin İncelenmesi.

Published in:

Cumhuriyet International Journal of Education, 2020, v. 9, n. 4, p. 1267, doi. 10.30703/cije.714758

By:

Uzun, Duygu Duran;
Koparan, Timur

Publication type:

Article

7th Grade Students' Experiences on Rational Numbers Identifying Misconceptions.

Published in:

International Online Journal of Educational Sciences, 2023, v. 15, n. 5, p. 900, doi. 10.15345/iojes.2023.05.001

By:

BALDEMIR, Bilal;
TUTAK, Tayfun;
NAYIROGLU, Busra;
SUZEN, Ahmet Burak

Publication type:

Article

Dissociation between magnitude comparison and relation identification across different formats for rational numbers.

Published in:

Thinking & Reasoning, 2018, v. 24, n. 2, p. 179, doi. 10.1080/13546783.2017.1367327

By:

Gray, Maureen E.;
DeWolf, Melissa;
Bassok, Miriam;
Holyoak, Keith J.

Publication type:

Article

People's preferences for different types of rational numbers in linguistic contexts.

Published in:

Quarterly Journal of Experimental Psychology, 2022, v. 75, n. 12, p. 2382, doi. 10.1177/17470218221076398

By:

Yang, Xiaoming;
Wang, Yunqi

Publication type:

Article

ONLINE FORMATIVE ASSESSMENT IN MATHEMATICS EDUCATION: PROSPECTIVE PRIMARY TEACHERS' UNDERSTANDING OF RATIONAL NUMBERS.

Published in:

Journal of Elementary Education / Revija za Elementarno Izobraževanje, 2023, v. 16, n. 2, p. 169, doi. 10.18690/rei.16.2.1232

By:

ZETRA HAINUL PUTRA;
INTAN KARTIKA SARI;
DAHNILSYAH

Publication type:

Article

Improving rational number knowledge using the NanoRoboMath digital game.

Published in:

Educational Studies in Mathematics, 2022, v. 110, n. 1, p. 101, doi. 10.1007/s10649-021-10120-6

By:

Kärki, Tomi;
McMullen, Jake;
Lehtinen, Erno

Publication type:

Article

Stimulating pre-service teachers’ content and pedagogical content knowledge on rational numbers.

Published in:

Educational Studies in Mathematics, 2018, v. 99, n. 2, p. 197, doi. 10.1007/s10649-018-9822-7

By:

Depaepe, Fien;
Van Roy, Patrick;
Torbeyns, Joke;
Van Dooren, Wim;
Verschaffel, Lieven;
Kleickmann, Thilo

Publication type:

Article

Inappropriately applying natural number properties in rational number tasks: characterizing the development of the natural number bias through primary and secondary education.

Published in:

Educational Studies in Mathematics, 2015, v. 90, n. 1, p. 39, doi. 10.1007/s10649-015-9613-3

By:

Van Hoof, Jo;
Verschaffel, Lieven;
Van Dooren, Wim

Publication type:

Article

Mathematics for teaching rational numbers from ecology to elementary school students.

Published in:

Revista de Matemática de la Universidad del Atlántico, 2019, v. 6, n. 2, p. 1

By:

Berrio, Gloria Elena Oviedo;
Gonzalez Pareja, Indira del Pilar;
Saravia Roa, Lúis Alexander;
Ospino, Amalfi Galindo

Publication type:

Article

ChatGPT’s Knowledge in Mathematics Teaching: An Example of Rational Numbers.

Published in:

Pegem Journal of Education & Instruction / Pegem Egitim ve Ögretim, 2025, v. 15, n. 2, p. 63, doi. 10.47750/pegegog.15.02.07

By:

KAPLAN, Hatice Aydan;
SARI, Melahatnur;
DANIK, Betül

Publication type:

Article

Predicting adaptive expertise with rational number arithmetic.

Published in:

British Journal of Educational Psychology, 2022, v. 92, n. 2, p. 1, doi. 10.1111/bjep.12471

By:

McMullen, Jake;
Hannula‐Sormunen, Minna M.;
Lehtinen, Erno;
Siegler, Robert S.

Publication type:

Article

The roles of place‐value understanding and non‐symbolic ratio processing system in symbolic rational number processing.

Published in:

British Journal of Educational Psychology, 2019, v. 89, n. 4, p. 635, doi. 10.1111/bjep.12249

By:

Wong, Terry Tin‐Yau

Publication type:

Article

Companions of fields of rational and real algebraic numbers.

Published in:

International Journal of Mathematics & Physics, 2022, v. 13, n. 2, p. 68, doi. 10.26577/ijmph.2022.v13.i2.09

By:

Nurtazin, A. T.;
Khisamiev, Z. G.

Publication type:

Article

THE RELATION BETWEEN LEARNERS' SPONTANEOUS FOCUSING ON QUANTITATIVE RELATIONS AND THEIR RATIONAL NUMBER KNOWLEDGE.

Published in:

Studia Psychologica, 2016, v. 58, n. 2, p. 156

By:

VAN HOOF, Jo;
DEGRANDE, Tine;
McMULLEN, Jake;
HANNULA-SORMUNEN, Minna;
LEHTINEN, Erno;
VERSCHAFFEL, Lieven;
VAN DOOREN, Wim

Publication type:

Article

Profiles in understanding the density of rational numbers among primary and secondary school students.

Published in:

Avances de Investigación en Educación Matemática, 2022, n. 22, p. 47, doi. 10.35763/aiem22.4034

By:

Manuel González-Forte, Juan;
Fernández, Ceneida;
Van Hoof, Jo;
Van Dooren, Wim

Publication type:

Article

Analysis of Different Rational Number Definitions Used in the Literature.

Published in:

Journal of Faculty of Educational Sciences, 2023, v. 56, n. 2, p. 879, doi. 10.30964/auebfd.1150640

By:

Ulusoy, Çiğdem Alkaş;
Şahiner, Yeter

Publication type:

Article

The law of large numbers for the sum of the partial quotients of a rational number with fixed denominator.

Published in:

Mathematical Notes, 2011, v. 90, n. 3/4, p. 418, doi. 10.1134/S0001434611090100

By:

Rukavishnikova, M.

Publication type:

Article

TIME, CULTURE, CHANGE AND THE TEACHING OF RATIONAL NUMBERS: A VIEW FROM WITHIN.

Published in:

Philosophy of Mathematics Education Journal, 2021, n. 37, p. 1

By:

Soares, Eduardo Sarquis;
Maheux, Jean-François

Publication type:

Article

Special Relativity over the Field of Rational Numbers.

Published in:

International Journal of Theoretical Physics, 2013, v. 52, n. 5, p. 1706, doi. 10.1007/s10773-013-1492-8

By:

Madarász, Judit;
Székely, Gergely

Publication type:

Article

The Development of an Instrument for Longitudinal Learning Diagnosis of Rational Number Operations Based on Parallel Tests.

Published in:

Frontiers in Psychology, 2020, p. N.PAG, doi. 10.3389/fpsyg.2020.02246

By:

Tang, Fang;
Zhan, Peida

Publication type:

Article

Automatic Sets of Rational Numbers.

Published in:

International Journal of Foundations of Computer Science, 2015, v. 26, n. 3, p. 343, doi. 10.1142/S0129054115500197

By:

Rowland, Eric;
Shallit, Jeffrey

Publication type:

Article

On 2-Closedness of the Rational Numbers in Quasivarieties of Nilpotent Groups.

Published in:

Siberian Mathematical Journal, 2017, v. 58, n. 6, p. 971, doi. 10.1134/S0037446617060064

By:

Budkin, A.

Publication type:

Article