Impact of Differing Grammatical Structures in Mathematics Teaching and Learning
This chapter investigates issues regarding the different grammatical structures of languages used in mathematics learning, both languages of instruction and other languages that are used in classrooms. Mathematics is understood to operate in and through language, and different languages offer differ...
Saved in:
| Published in | Mathematics Education and Language Diversity pp. 23 - 46 |
|---|---|
| Main Authors | , , |
| Format | Book Chapter |
| Language | English |
| Published |
Switzerland
Springer International Publishing AG
2015
Springer International Publishing Springer, Cham |
| Series | New ICMI Study Series |
| Subjects | |
| Online Access | Get full text |
| ISBN | 331914510X 9783319145105 3319372750 9783319145112 3319145118 9783319372754 |
| ISSN | 1387-6872 2215-1745 |
| DOI | 10.1007/978-3-319-14511-2_2 |
Cover
| Abstract | This chapter investigates issues regarding the different grammatical structures of languages used in mathematics learning, both languages of instruction and other languages that are used in classrooms. Mathematics is understood to operate in and through language, and different languages offer different resources with which to do this. This chapter considers the nature of the mathematics that is made possible by the linguistic expressions of different languages. We examine features of the mathematics register and the development of the mathematics register for a few selected languages. We discuss linguistic differences that occur in the key mathematical areas of logic, reasoning, space and number, in a general manner, and with specific examples from languages from different parts of the world. We then offer suggestions for how teachers and researchers in multilingual contexts can comprehend and utilise grammatical differences among the languages in their context. |
|---|---|
| AbstractList | We show that languages express mathematical ideas in diverse ways that provide an opportunity to enrich the mathematical experiences of learners in multilingual contexts, but that can also introduce ambiguities or misunderstanding between teachers and students and impede the process of mathematical learning. While at times, multilingualism and/or teaching mathematics in the medium of indigenous languages has been considered from deficit perspectives, we consider these challenges as more enabling and enriching. We also show that languages such as English and French, with long traditions of developing a mathematics register, nevertheless contain some grammatical features which are not always ideal mathematically. If opportunities arise for linguistic-mathematical innovations in these world languages, language planners might like to consider innovating for features which research has shown facilitate mathematics learning. This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf learners, new media and tertiary education. Each chapter draws on research from two or more countries to illustrate important research findings, theoretical developments and practical strategies. (From book cover) This chapter investigates issues regarding the different grammatical structures of languages used in mathematics learning, both languages of instruction and other languages that are used in classrooms. Mathematics is understood to operate in and through language, and different languages offer different resources with which to do this. This chapter considers the nature of the mathematics that is made possible by the linguistic expressions of different languages. We examine features of the mathematics register and the development of the mathematics register for a few selected languages. We discuss linguistic differences that occur in the key mathematical areas of logic, reasoning, space and number, in a general manner, and with specific examples from languages from different parts of the world. We then offer suggestions for how teachers and researchers in multilingual contexts can comprehend and utilise grammatical differences among the languages in their context. |
| Author | Edmonds-Wathen, Cris Durand-Guerrier, Viviane Trinick, Tony |
| Author_xml | – sequence: 1 givenname: Cris surname: Edmonds-Wathen fullname: Edmonds-Wathen, Cris email: cris.edmonds-wathen@cdu.edu.au – sequence: 2 givenname: Tony surname: Trinick fullname: Trinick, Tony – sequence: 3 givenname: Viviane surname: Durand-Guerrier fullname: Durand-Guerrier, Viviane |
| BackLink | https://hal.science/hal-01413932$$DView record in HAL https://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-119195$$DView record from Swedish Publication Index |
| BookMark | eNpVkc9u1DAQxg0UxLb0CbjslYPBYzuxfVy10FZahAQFcRvNOk4T2Pypk1D1bfZZ9slwdishTqOZ-X0z0vedspO2awNjb0G8ByHMB2csV1yB46AzAC5RPmOnKg0OvX3OFlJCxsHo7MW_hfh5whagrOG5NfIVWzglITfg3Gt2Pgy_hBDSaCNtvmBfb5qe_Ljsyv3usi7LEOv2bnkVqWlorD1tl9_GOPlximFY1u1-95nGKhx2w_I2kK9mntpiv1sHim3q3rCXJW2HcP5Uz9j3Tx9vL675-svVzcVqzSuVmZF7ImF94URhLDkNOjeFsrawYDLncyUo804HowpN0ttNqYHIFdpkeXBGCXXG-PHu8BD6aYN9rBuKj9hRjZf1jxV28Q6nZkJItrgs8e-OfEXb_-Dr1RrnmQANKnn1BxILT7f72ZAQcdN1vwcEgXMymJJBhclvPCSBKZmkkUdNH7v7KQwjhlnkQztG2vqK-jHEATUYK12SCEzP_gJytY-2 |
| ContentType | Book Chapter |
| Copyright | The Author(s) 2016, Open Access This book was originally published with exclusive rights reserved by the Publisher in 2015 and was licensed as an open access publication in March 2021 under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence and indicate if changes were made.The images or other third party material in this chapter are included in the chapter's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the chapter's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder Distributed under a Creative Commons Attribution 4.0 International License |
| Copyright_xml | – notice: The Author(s) 2016, Open Access This book was originally published with exclusive rights reserved by the Publisher in 2015 and was licensed as an open access publication in March 2021 under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence and indicate if changes were made.The images or other third party material in this chapter are included in the chapter's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the chapter's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder – notice: Distributed under a Creative Commons Attribution 4.0 International License |
| DBID | FFUUA 1XC BXJBU ADTPV BMRNB D93 |
| DEWEY | 510.71 |
| DOI | 10.1007/978-3-319-14511-2_2 |
| DatabaseName | ProQuest Ebook Central - Book Chapters - Demo use only Hyper Article en Ligne (HAL) HAL-SHS: Archive ouverte en Sciences de l'Homme et de la Société SwePub SwePub Book Chapter SWEPUB Umeå universitet |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics Education |
| EISBN | 3319145118 9783319145112 |
| EISSN | 2215-1745 |
| Editor | Clarkson, Philip Moschkovich, Judit Villavicencio Ubillús, Martha Barwell, Richard Planas, Núria Setati-Phakeng, Mamokgethi Valero, Paola Kazima, Mercy Halai, Anjum |
| Editor_xml | – sequence: 1 fullname: Clarkson, Philip – sequence: 2 fullname: Moschkovich, Judit – sequence: 3 fullname: Villavicencio Ubillús, Martha – sequence: 4 fullname: Barwell, Richard – sequence: 5 fullname: Planas, Núria – sequence: 6 fullname: Setati-Phakeng, Mamokgethi – sequence: 7 fullname: Valero, Paola – sequence: 8 fullname: Kazima, Mercy – sequence: 9 fullname: Halai, Anjum |
| EndPage | 46 |
| ExternalDocumentID | oai_DiVA_org_umu_119195 oai_HAL_hal_01413932v1 EBC4178291_20_39 |
| GroupedDBID | 0DA 20A 38. A7I AAAIQ AABBV AAKKN AALJR AAMCO AAQKC AAQZU ABEEZ ABMNI ABNTN ACBPT ACLMJ ADCXD ADIOA ADPGQ AEIBC AEJLX AEKFX AETDV AEZAY AGWHU AIQUZ ALMA_UNASSIGNED_HOLDINGS ALNDD AZZ BBABE BRAOI CZZ EIXGO FFUUA I4C IEZ MYL SBO TPJZQ V1H 1XC BXJBU ADTPV BMRNB D93 |
| ID | FETCH-LOGICAL-h357t-caa08cd90d78a941467d388d81759c630a5c94e73d4a2c8bf41aa9d4756e97303 |
| IEDL.DBID | AAQKC |
| ISBN | 331914510X 9783319145105 3319372750 9783319145112 3319145118 9783319372754 |
| ISSN | 1387-6872 |
| IngestDate | Thu Aug 21 07:03:50 EDT 2025 Fri May 09 12:20:21 EDT 2025 Tue Jul 29 20:31:21 EDT 2025 Thu May 29 16:57:44 EDT 2025 |
| IsDoiOpenAccess | false |
| IsOpenAccess | true |
| IsPeerReviewed | false |
| IsScholarly | false |
| Keywords | space and geometry number grammar Language diversity loigic and reasoning |
| LCCallNum | QA10.92-20 |
| Language | English |
| License | Distributed under a Creative Commons Attribution 4.0 International License: http://creativecommons.org/licenses/by/4.0 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-h357t-caa08cd90d78a941467d388d81759c630a5c94e73d4a2c8bf41aa9d4756e97303 |
| Notes | This chapter has been made open access under a CC BY-NC-ND 4.0 license. For details on rights and licenses please read the Correction https://doi.org/10.1007/978-3-319-14511-2_16 |
| OCLC | 932167199 |
| ORCID | 0000-0001-7257-9945 |
| OpenAccessLink | https://doi.org/10.1007/978-3-319-14511-2_2 |
| PQID | EBC4178291_20_39 |
| PageCount | 24 |
| ParticipantIDs | swepub_primary_oai_DiVA_org_umu_119195 hal_primary_oai_HAL_hal_01413932v1 springer_books_10_1007_978_3_319_14511_2_2 proquest_ebookcentralchapters_4178291_20_39 |
| PublicationCentury | 2000 |
| PublicationDate | 2015 2016 |
| PublicationDateYYYYMMDD | 2015-01-01 2016-01-01 |
| PublicationDate_xml | – year: 2015 text: 2015 |
| PublicationDecade | 2010 |
| PublicationPlace | Switzerland |
| PublicationPlace_xml | – name: Switzerland – name: Cham |
| PublicationSeriesTitle | New ICMI Study Series |
| PublicationSeriesTitleAlternate | New ICMI Study Series |
| PublicationSubtitle | The 21st ICMI Study |
| PublicationTitle | Mathematics Education and Language Diversity |
| PublicationYear | 2015 2016 |
| Publisher | Springer International Publishing AG Springer International Publishing Springer, Cham |
| Publisher_xml | – name: Springer International Publishing AG – name: Springer International Publishing – name: Springer, Cham |
| RelatedPersons | Praeger, Cheryl E. Arcavi, Abraham Arzarello, Ferdinando |
| RelatedPersons_xml | – sequence: 1 givenname: Ferdinando surname: Arzarello fullname: Arzarello, Ferdinando – sequence: 2 givenname: Abraham surname: Arcavi fullname: Arcavi, Abraham – sequence: 3 givenname: Cheryl E. surname: Praeger fullname: Praeger, Cheryl E. |
| SSID | ssj0002747286 |
| Score | 1.497675 |
| Snippet | This chapter investigates issues regarding the different grammatical structures of languages used in mathematics learning, both languages of instruction and... We show that languages express mathematical ideas in diverse ways that provide an opportunity to enrich the mathematical experiences of learners in... This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the... |
| SourceID | swepub hal springer proquest |
| SourceType | Open Access Repository Publisher |
| StartPage | 23 |
| SubjectTerms | Abstract noun didactics of mathematics Education Grammar Grammatical structure History and Overview Humanities and Social Sciences language linguistic diversity Linguistic relativity Logic matematikdidaktik Mathematical language Mathematics Mathematics register Negation Nominalisation Number Pragmatics Regularity Semantics Spatial concepts Syntactic category Syntactics Teaching of a specific subject Teaching skills & techniques Topological language Topology Transparency Zero (arithmetic) |
| Title | Impact of Differing Grammatical Structures in Mathematics Teaching and Learning |
| URI | http://ebookcentral.proquest.com/lib/SITE_ID/reader.action?docID=4178291&ppg=39 http://link.springer.com/10.1007/978-3-319-14511-2_2 https://hal.science/hal-01413932 https://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-119195 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LS8QwEA6yXtSLT1xfBBEPSqFtkqY5Lr7WN-IDb0OatipoV1zX3-9Mtq0PvHhsSdMykyZfMvN9w9iW0EXiGT1ppspAJjIMjKaqqVHhYqdMlmniDp9fJP1beXKv7r9IYT7ZvYlI-om64bqNw_hEuaHaslEQA068k7FGuN5hk73e1elee7ZCO63YF3mMSDo2STVtyIQgLTMcg7XwTnutWjWiP1-Dq84jJUl-Q6Bt0PSXwKhflA5n2QwRFTgxCNA4c2yiqObZ9HmrwzpcYJfHngTJByXf95VQsDt-9GZffAP7zK-9fOwI99z8qeLfnuU3dZolt1XOaxXWh0V2e3hws9cP6hIKwaNQ-j1w1oapy02Y69QaSdNiLtI0TxE1GJeI0CpnZKFFLm3s0qyUkbUml1olhcGfXyyxTjWoimXGE2fzmPBiWErSBcsKocpSlxY3QM6Wrss20UzwOhbJAJKt7vfOgO5RMqlAoPgRddluY0Xw0eA6BdWNTTUEGSFkMRHEIQjTZTuNoYEaD6ERWUY3gQB0E3g3Abqpy7bHrvjxCftPdz0YvD3A6GUEJGZn1Mp_el1lUwiR6kOXNdZBrxTrCEPesw2E4fp4ox57n607zyc |
| linkProvider | Springer Nature |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LT9wwEB4hOPRxgT7ULS-rqnpoFSmJ7Tg-rngtZZeq6lJxGzlOAkiQRSzL72fGm0RQ9cIxkeNEMxN7xjPfNwBfpamygOjJC11HKlNxZA13TU0qn3pti8Iwdnhymo3O1M9zfb4CusPChGr3LiUZVuoO7LbM4zPmhpvLJlGKtPKuMfcKGfPacPj7ZK8_XOFQKw1dHhPmjs1ywxGZlExmRkbYMu_017qnI_rva2jbueQqyScuaJ81_YdhNOxKh-vwlpEKgiEEJJ0NWKmad_Bm0hOxzt_Dr-OAghSzWuyHVig0nTi6czdhgLsWfwJ_7IKCbnHViCfPimlbZylcU4qWhvXiA5wdHkz3RlHbQyG6lNrcR965OPeljUuTO6t4XSxlnpc5uQ3WZzJ22ltVGVkql_q8qFXinC2V0Vll6e-XH2G1mTXVJxCZd2XKDmNcKyYGKyqp69rUjiIg72o_gC8kJrxdsmQg81aPhmPke1xNKslTfEgG8KOTIoZ0cFuD6peimqNKyGexCaYxSjuA752gkQfPsWNZJjWhRFITBjUhqWkA35aqePYJ-1d_hzi7u8DFzQKZzc7qzy-ZdRdejaaTMY6PT0824TX5S-0JzBaskoaqbfJJ7oud1gIfAeou0aA |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1Lb9QwELbQVkLAhafYtlALIQ6gqElsx_Fx1e12Sx-AaBG3kWPHbSWarbq7_H5mnIdaxIVjosSJZiz7G8983zD2Xui6iIyeslIhkYVME6Opa2pWu9wpU1WauMMnp8X8XH7-qfpqwmVf7d6nJFtOA6k0NavdGx_6rP5um9Mn_g01ms2SHHAV3sDYxKQjtjGZfDvaGw5aKOzKY8fHjHRki1JTdCYECZvhhOxUeIZrNUgT_fMzuAVdUsXkHTg6ZFD_UhuNO9TsKXtCrAVOdAK01DP2oG6es8cngyjr8gX7chgZkXwR-DS2RcHh-MGtvY4P2F_8e9SSXWMAzq8afuddftbVXHLbeN5Jsl68ZOez_bO9edL1U0guhdKrxFmbls6b1OvSGklrpBdl6UuEEMYVIrXKGVlr4aXNXVkFmVlrvNSqqA2uBOIVGzWLpn7NeOGszwk8pkGSSFhVCxWCDhajIWeDG7N3aCa4aRUzgDSs55NjoHtUWSoQNf7OxuxTb0WIqeGuHtW1plqCzBC_mAzyFIQZs4-9oYEeXkKvuIxuAgHoJohuAnTTmH1oXXHvF6ZXPyawuL2A9fUaSNnOqM3_GXWHPfw6ncHx4enRFnuE0Kk7jNlmI3RQ_Qbhyap6203AP4I21dw |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.title=Mathematics+Education+and+Language+Diversity+-+The+21st+ICMI+Study&rft.au=Edmonds-Wathen%2C+Cris&rft.au=Tony%2C+Trinick&rft.au=Durand-Guerrier%2C+Viviane&rft.atitle=Impact+of+Differing+Grammatical+Structures+in+Mathematics+Teaching+and+Learning&rft.series=New+ICMI+Study+Series&rft.date=2016-01-01&rft.pub=Springer%2C+Cham&rft.isbn=9783319145105&rft.spage=23&rft.epage=46&rft_id=info:doi/10.1007%2F978-3-319-14511-2_2&rft.externalDBID=HAS_PDF_LINK&rft.externalDocID=oai_HAL_hal_01413932v1 |
| thumbnail_s | http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=https%3A%2F%2Febookcentral.proquest.com%2Fcovers%2F4178291-l.jpg |