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Harnessing teachers’ perspectives: Recognizing mathematically highly able pupils and orchestrating teaching for them in a diverse ability classroom
Karlstads universitet, Fakulteten för hälsa, natur- och teknikvetenskap (from 2013), Institutionen för matematik och datavetenskap (from 2013).ORCID-id: 0000-0001-8449-130X
2018 (Engelska)Doktorsavhandling, sammanläggning (Övrigt vetenskapligt)
Abstract [en]

There is a lack of research that explores teachers’ perspectives on teaching highly able pupils (HAPs) in the diverse ability classroom. Instead, pupils’ perspectives are common, such studies often concluding that teachers need more professional development or that they fail to support HAPs. Consequently, previous research does not support teachers in how to implement teaching that includes HAPs. This thesis aims to harness teachers’ perspectives of pedagogical possibilities that enable learning opportunities for mathematically highly able pupils (MHAPs). By comparing pupils’ (n=264) relative achievement on two different tests, traditional and non-traditional, the first part of this thesis explores teachers’ possibilities to recognize MHAPs. The results show that pupils who achieved highly on the non-traditional test, but not on the other, have higher problem-solving competence compared to pupils who achieved highly on the traditional test instead. The second part presents a teacher-initiated investigation of pupils’ perceptions of challenging mathematical tasks. The findings indicate that the developed tool can help teachers find suitable tasks for MHAPs. The final part uses positioning theory to analyze teachers’ (N=17) discussions and probe their perceptions on orchestrating teaching MHAPs. The findings show that the teachers have knowledge of how to recognize and support MHAPs. Specifically, the teachers express possibilities with challenging tasks and differentiated education to meet MHAPs’ learning needs. Furthermore, the teachers perceived fewer rights than duties to orchestrate teaching for MHAPs’, for example, to continuously asses them. The studies in this thesis support teachers to orchestrate teaching including MHAPs in the diverse ability classroom. Both practice and research can be guided by what the teachers in these studies perceived as possible to do to orchestrate such teaching. Thereby support is given to teachers, from teachers, through research.

Abstract [en]

This thesis harnesses teachers’ perspectives of pedagogical possibilities that enable learning opportunities for mathematically highly able pupils (MHAPs). Firstly, teachers’ possibilities to recognize MHAPs through assessment are explored. The results show that pupils with high problem-solving competence can achieve highly on a non-traditional test, whereas they do not on traditional tests. Secondly, a teacher-initiated investigation of pupils’ perceptions of challenging mathematical tasks is presented. The findings indicate that a developed tool can help teachers find suitable tasks for MHAPs. Finally, teachers’ (N=17) discussions are analysed and their perceptions on orchestrating teaching MHAPs are probed. The findings show that the teachers have knowledge of how to recognize and support MHAPs. Specifically, the teachers express possibilities with challenging tasks and differentiated education. Furthermore, the teachers perceived they have knowledge and competence to orchestrate teaching for MHAPs. The findings show that their knowledge is consistent with previous research on teaching highly able pupils (HAPs) to meet their learning needs. This thesis gives support, on orchestrating teaching that includes HAPs in learning, to teachers, from teachers, through research.

Ort, förlag, år, upplaga, sidor
Karlstad: Karlstads universitet, 2018. , s. 126
Serie
Karlstad University Studies, ISSN 1403-8099 ; 2018:45
Nyckelord [en]
High ability, Gifted education, Professional development, Mathematics, Differentiated education, Inclusive education, Teachers, Positioning theory
Nationell ämneskategori
Pedagogiskt arbete
Forskningsämne
Pedagogiskt arbete
Identifikatorer
URN: urn:nbn:se:kau:diva-69485ISBN: 978-91-7063-882-4 (tryckt)ISBN: 978-91-7063-977-7 (digital)OAI: oai:DiVA.org:kau-69485DiVA, id: diva2:1253540
Disputation
2018-12-10, Nyquistsalen, 9C 203, Karlstad, 10:00 (Engelska)
Opponent
Handledare
Anmärkning

Artikel 4 publicerad som manuskript i avhandlingen, nu publicerad.

Tillgänglig från: 2018-11-19 Skapad: 2018-10-05 Senast uppdaterad: 2020-04-29Bibliografiskt granskad
Delarbeten
1. High achiever! Always a high achiever?: A comparison of student achievements on mathematical tests with different aims and goals
Öppna denna publikation i ny flik eller fönster >>High achiever! Always a high achiever?: A comparison of student achievements on mathematical tests with different aims and goals
2014 (Engelska)Licentiatavhandling, monografi (Övrigt vetenskapligt)
Abstract [en]

This study explored changes in relative achievement over time. It also investigated differences in how two groups of students activate mathematical competencies. The aim of the study was to investigate students’ relative achievement in mathematics over time, and how mathematical competencies can be used to explore differences between groups of students on a non-curriculum based test in mathematics. The study was divided in two parts. Study 1 compared students’ (n=568) relative achievement in two national tests in mathematics (years 3 and 6). Study 1 explored changes in relative achievement between the two national tests as well as differences in relative achievement between the national test in year 6 and the mathematical kangaroo in year 7 (age 13). The study identified, from a sample (n=264) of study 1, two groups of students with high achievements in only one of the tests, the national test in year 6 or the mathematical kangaroo. Study 2 explored how differences between those students relative achievement on the mathematical kangaroo could be explained through activation of mathematical competencies. The results in study 1 show that students undergo large changes, both increases and decreases, in relative achievement between the national tests in years 3 and 6. Study 2 shows how the two identified groups activate the mathematical competencies differently on the mathematical kangaroo. 9% of the students achieve highly in the mathematical kangaroo although they do not in the national test. The study implicates the importance of using non-curriculum bounded tests to identify strength in mathematical competencies among students that not are able to show them through the national test.

Ort, förlag, år, upplaga, sidor
Karlstad: Karlstads universitet, 2014. s. 127
Serie
Karlstad University Studies, ISSN 1403-8099 ; 2014:67
Serie
Studies in Science and Technology Education, ISSN 1652-5051 ; 78
Nyckelord
achievement, alternative assessment, curriculum based assessment mathematical competency, mathematical kangaroo, mathematics tests, national tests
Nationell ämneskategori
Matematik Didaktik
Forskningsämne
Matematik
Identifikatorer
urn:nbn:se:kau:diva-34516 (URN)978-91-7063-607-3 (ISBN)
Presentation
2014-12-19, 21A 342, Karlstads universitet, Karlstad, 10:15 (Svenska)
Opponent
Handledare
Tillgänglig från: 2014-11-18 Skapad: 2014-10-29 Senast uppdaterad: 2019-07-10Bibliografiskt granskad
2. The suitability of rich learning tasks from a pupil perspective
Öppna denna publikation i ny flik eller fönster >>The suitability of rich learning tasks from a pupil perspective
2017 (Engelska)Ingår i: CERME 10: Proceedings of the Tenth Congress of European Society for Research in Marhematics Education, European Society for Research in Mathematics Education, 2017, s. 1162-1169Konferensbidrag, Publicerat paper (Refereegranskat)
Abstract [en]

The construction of tasks is important to challenge pupils, but the exploration of pupils’ perceptions connected to their work with tasks, is rare. This paper presents the results of a study using a tool aimed at measuring pupils’ perception of joy and interest connected to ‘rich learning tasks’ by comparing the views of mathematically promising pupils and others. Two tasks were pre- and postevaluated, the first by 139 and the second by 106 pupils from grade 4-9. The results indicate that the tool is suited for the exploration of pupils’ views, especially as it can be deduced from the comparison that mathematically promising pupils perceived both tasks more positively than the other pupils, and that the non-identified pupils became more positive after working especially with one of the tasks.

Ort, förlag, år, upplaga, sidor
European Society for Research in Mathematics Education, 2017
Nyckelord
Mathematically gifted, mathematically promising, rich tasks, pupils’ perception
Nationell ämneskategori
Samhällsvetenskap Utbildningsvetenskap Didaktik Matematik
Forskningsämne
Pedagogiskt arbete; Matematik
Identifikatorer
urn:nbn:se:kau:diva-48143 (URN)978-1-873769-73-7 (ISBN)
Konferens
The Tenth Congress of the European Society for Research in Mathematics Education
Tillgänglig från: 2018-02-08 Skapad: 2018-02-08 Senast uppdaterad: 2018-10-05
3. Elementary teachers on orchestrating teaching for mathematically highly able pupils
Öppna denna publikation i ny flik eller fönster >>Elementary teachers on orchestrating teaching for mathematically highly able pupils
2019 (Engelska)Ingår i: The Montana Mathematics Enthusiast, ISSN 1551-3440, E-ISSN 1551-3440, Vol. 16, nr 1-3, s. 127-153, artikel-id 8Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

Studies on high ability in mathematics rarely take a teacher’s perspective. The purpose of our study is to add such a perspective, which we will do by using positioning theory to analyze elementary teachers’ discussions on mathematical tasks, aiming to challenge all pupils, including the highly able. The study is conducted in the context of a two-year long teacher professional development program on high ability. Teachers expressed both their teaching and the mathematical tasks as helpful in orchestrating teaching suitable for highly able pupils. They highlight the opportunities given by some tasks as well as the importance of guiding highly able pupils to go further in such tasks. However, they expressed their own limited mathematical knowledge and time needed for pupils with learning difficulties as obstacles to orchestrate teaching for the highly able. The results show that it is important to, in close cooperation with teachers, further explore how to orchestrate teaching that challenges highly able pupils.

Ort, förlag, år, upplaga, sidor
University of Montana, 2019
Nyckelord
High ability, Mathematics, Positioning theory, Professional development, Teachers
Nationell ämneskategori
Pedagogiskt arbete Matematik
Forskningsämne
Pedagogiskt arbete; Matematikdidaktik
Identifikatorer
urn:nbn:se:kau:diva-69486 (URN)000484167900009 ()
Tillgänglig från: 2018-10-05 Skapad: 2018-10-05 Senast uppdaterad: 2019-10-02Bibliografiskt granskad
4. Teachers' Views on Teaching Highly Able Pupils in a Heterogeneous Mathematics Classroom
Öppna denna publikation i ny flik eller fönster >>Teachers' Views on Teaching Highly Able Pupils in a Heterogeneous Mathematics Classroom
2020 (Engelska)Ingår i: Scandinavian Journal of Educational Research, ISSN 0031-3831, E-ISSN 1470-1170, s. 1-19Artikel i tidskrift (Refereegranskat) Epub ahead of print
Abstract [en]

Aiming to bring teachers' perspectives to research, teachers' (N = 12) discussions are explored in the context of a professional development program on teaching highly able pupils (HAPs) mathematics. The findings show that the teachers perceive they have the competence to recognize HAPs, for example through continuous assessment. However, they express that collaboration with colleagues is necessary and that they would like their principals' acknowledgement for their competence. They connect and verbalize their practical expertise with theories of teaching HAPs and demonstrate several criteria for teaching that successfully meet pupils' learning needs in heterogeneous classrooms. Thus, they feel confident in how to orchestrate teaching that is inclusive of HAPs in heterogeneous mathematics classrooms.

Ort, förlag, år, upplaga, sidor
Taylor & Francis, 2020
Nyckelord
Differentiated education, highly able pupils, positioning theory, teachers
Nationell ämneskategori
Utbildningsvetenskap
Forskningsämne
Matematikdidaktik
Identifikatorer
urn:nbn:se:kau:diva-76944 (URN)10.1080/00313831.2020.1716065 (DOI)000508807200001 ()
Anmärkning

Artikeln publicerad som manuskript i Mellroths (2018) doktorsavhandling: Harnessing teachers’ perspectives: Recognizing mathematically highly able pupils and orchestrating teaching for them in a diverse ability classroom

Tillgänglig från: 2020-02-20 Skapad: 2020-02-20 Senast uppdaterad: 2020-04-29Bibliografiskt granskad

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