scholarly journals Matematiikan parhaat osaajat lukion lopussa ja heidän matematiikka-asenteissaan tapahtuneet muutokset

Author(s):  
Laura Niemi ◽  
Jari Metsämuuronen ◽  
Markku Hannula ◽  
Anu Laine

Tutkimus perustuu Opetushallituksen ja Kansallisen koulutuksen arviointikeskuksen keräämään pitkittäisaineistoon. Samaan ikäluokkaan kuuluvat oppilaat ovat osallistuneet kansallisiin matematiikan kokeisiin ja matematiikka-asenteita kartoittaviin kyselyihin vuosien 2005–2015 aikana neljällä eri mittauskerralla perusopetuksen kolmannelta vuosiluokalta toisen asteen loppuun. Tutkimusaineiston kokonaisotos käsittää yhteensä 3896 oppilasta. Tutkimuksessa keskitytään tarkastelemaan matematiikassa parhaiten menestyneitä opiskelijoita. Matematiikan parhaiksi osaajiksi määritetään kansalliseen matematiikan kokeeseen osallistuneet lukiolaiset, jotka saivat pitkän matematiikan ylioppilaskokeesta arvosanan laudatur tai eximia cum laude approbatur (n = 146). Ensin tutkimuksessa selvitetään, miten parhaiden osaajien matematiikka-asenteet muuttuivat perusopetuksesta lukion loppuun ja toiseksi, miten opetuksen pedagogiset ratkaisut yläkoulussa ja lukiossa selittävät osaamiseltaan parhaiden tyttöjen ja poikien asenteissa tapahtuneita muutoksia. Selittävien tekijöiden analyysissa käytetään päätöspuuanalyysia (DTA) ja lineaarista regressioanalyysia. Matematiikan parhaiden osaajien matematiikasta pitäminen kasvoi lukio-opintojen aikana, mutta minäkäsitys ja kokemus matematiikan hyödyllisyydestä laskivat. Matematiikassa parhaiten menestyneiden tyttöjen asenteissa tapahtuneet muutokset poikkesivat asenteiden yleisestä muutossuunnasta. Parhaiden tyttöjen minäkäsitys kasvoi yläkoulun ja lukion aikana lähes parhaiten menestyneiden poikien tasolle ja tytöt pitivät matematiikasta lukion lopussa poikia enemmän. Matematiikassa parhaiten menestyneiden tyttöjen ja poikien asenteiden kehittymistä selittivät erilaiset opetuksen pedagogiset ratkaisut. Molemmilla myönteisiä asenteita vahvistivat yleisesti oppilaskeskeisyyteen, yhteistoiminnallisuuteen ja oppijoiden tarpeiden huomioimiseen liittyvät pedagogiset ratkaisut. In English The study is part of a longitudinal research. Students belonging to the same age group were followed from the third grade of primary education to the end of upper secondary level. The data was collected by EDUFI and FINEEC during 2005–2015. The data consists of 3896 students. The target group consists of mathematically high-achieving students at the end of their studies in upper secondary school. The definition of high-achieving students based on success in matriculation examination of advanced math (n = 146). First we examine how high-achieving students’ attitudes towards mathematics change from primary education to the end of upper secondary level and then how pedagogical solutions in grades 7–9 and in upper secondary level explain boys’ and girls’ changes in attitudes. Decision tree analysis (DTA) and regression analysis were used to analyse the data. The results indicated that high-achieving students liked more mathematics during upper secondary school but self-concept and experience of usefulness of mathematics decreased. The changes of high-achieving girls’ attitudes differed from the general trend of change. High-achieving girls’ self-concept increased almost to the same level than high-achieving boys’ during grades 7–9 and in upper secondary school. Additionally, girls liked mathematics more than boys at the end of upper secondary level. The development of high-achieving girls’ and boys’ attitudes was explained by different pedagogical solutions. Both girls’ and boys’ positive attitudes were generally reinforced by pedagogical solutions related to student-centeredness, cooperative learning and paying attention to students’ needs. Fulltext in Finnish.

Author(s):  
Laura Niemi ◽  
Jari Metsämuuronen ◽  
Markku Hannula ◽  
Anu Laine

Tutkimus on osa pitkittäistutkimusta, jossa samaan ikäluokkaan kuuluvia oppilaita seurattiin perusopetuksen kolmannelta vuosiluokalta toisen asteen koulutuksen loppuun neljällä eri mittauskerralla. Tutkimuksessa käytetään Opetushallituksen ja Kansallisen koulutuksen arviointikeskuksen vuosien 2005–2015 aikana keräämää kansallisesti edustavaa tutkimusaineistoa. Tutkimusaineisto käsittää kaikkiaan 3896 oppilasta. Tutkimuksessa keskitytään tarkastelemaan matematiikan parhaita osaajia, joita on yhteensä 292 (7,5 %). Poikien osuus on 64,0 % (n = 187) ja tyttöjen 36,0 % (n = 105). Osaaminen määritetään yhdeksännen vuosiluokan kokeessa menestymisen perusteella. Kansallisten matematiikan kokeiden lisäksi oppilaat ovat vastanneet erilaisiin kyselyihin, joissa heiltä on kerätty tietoa yksilöön, kouluun ja kotitaustaan liittyvistä tekijöistä. Tutkimuksessa selvitetään näiden tekijöiden yhteyttä toisen asteen koulutusvalintaan ja osaamisen kehittymiseen toisen asteen opintojen aikana. Tulosten analysoinnissa käytettiin päätöspuuanalyysia (DTA) ja regressioanalyysia. Tutkimuksessa havaittiin, että suurin osa (60,0 %) yhdeksännen vuosiluokan parhaista osaajista oli parhaita osaajia myös toisen asteen päättyessä ja muiden osaaminen laski hyvien tai keskitason osaajien tasolle. Yksilöön liittyvät tekijät selittävät parhaiten matematiikassa menestymistä myös toisella asteella. Myönteiset asenteet matematiikkaa kohtaan ja vahva matematiikan osaamisen pohja perusopetuksessa luovat edellytyksiä menestyä matematiikassa erinomaisesti toisella asteella. Matematiikan parhaiden osaajien osaamisen taso heikkenee todennäköisemmin, jos oppilas ei mene lukioon tai ei suorita lukiossa vähintään 11 matematiikan kurssia. Yhdeksännen vuosiluokan parhaista osaajista lukioon hakeutuivat todennäköisemmin ne, jotka menestyivät arvosanatiedon perusteella erinomaisesti äidinkielessä. In English The study is part of a longitudinal research. Same students were followed from 3rd grade of primary education to the end of upper secondary level. The data was collected by EDUFI and FINEEC during 2005–2015. The data consists of 3896 students and the target group consists of mathematically high-achieving students. Total number of them is 292 (7,5 %). Definition of high-achieving students is based on success in the mathematics examination of 9th grade.  In addition to math examinations it has been gathered information about students’ individual-, school- and home-related factors. The study examines the relationship between these factors and the choice between upper secondary vocational education and general upper secondary school. The aim is to investigate how high-achieving students’ mathematical competence develop during these studies and which factors are related to development. Decision tree analysis (DTA) and regression analysis were used to analyse the data. The results indicated that 60,0 % of mathematically high-achieving students were also high-achieving students at the end of upper secondary level. The individual-related factors were explanatory factors for mathematical success at the upper secondary level. Positive attitudes towards mathematics and strong mathematical competence in basic education predicted excellent success in mathematics later. The competence of high-achieving student most likely decreased if a student didn’t go to the general upper secondary school or didn’t complete at least 11 mathematics courses. They, who performed excellently in their studies of mother tongue in 9th grade, most likely applied to the general upper secondary school.


Author(s):  
Ján Guncaga ◽  
László Budai ◽  
Tibor Kenderessy

There are problems in geometry education in lower and upper secondary school, which students have with the spatial imagination and with the understanding of some geometric concepts. In this article, we want to present tasks that show some advantages of the software GeoGebra. We use this software as a tool to visualize and to explain some geometric concepts, as well as to support students’ spatial imagination. Classification: D30, G10. Keywords: space imagination, GeoGebra, mathematics education at lower and upper secondary level.


Author(s):  
Wang Wei Sönnerhed

This paper analyzes the content and tasks involving quadratic equations in eight mathematics textbooks published during the period 2000-2012 at the upper-secondary level in Sweden. The study applies the theoretical hypothetical learning trajectory (HLT) framework combining conceptual and procedural knowledge. The analysis includes horizontal and vertical dimensions within an HLT. The aim is to explore embedded HLTs and learning opportunities from both dimensions in these textbooks. A total of 250 examples and 1,068 tasks have been examined. Results show that all the textbooks contain algebra identities and four different methods for solving quadratic equations as well as their applications as a core hypothetical learning trajectory but differ in how an HLT starts and ends. Geometrical representations for some algebra identities and completing the square are widely used in both theoretical presentations and tasks, which implies that conceptual learning is encouraged among the Swedish textbooks. At the same time, procedural knowledge is still emphasized as a basic but important learning process.  


2019 ◽  
Vol 56 ◽  
pp. 152-160 ◽  
Author(s):  
Luise von Keyserlingk ◽  
Michael Becker ◽  
Malte Jansen

Author(s):  
Roseline David ◽  
Joseph Alagiaraj Thambu Raj

This paper discusses the impacts of an action research on how students can excel in writing skills regardless of their level of competency especially for those taking the English Language paper (SPM 1119) in the Malaysian Secondary School Public Exam in 2018. This action research aims to exert the need for realigning our focus to incorporate an approach of teaching and learning at upper secondary level. The research was carried out from January to October in a secondary school in Kota Kinabalu, Sabah. Two classes of 37 Limited English Proficiency students and 24 High English Proficiency Students who were sitting for SPM 1119 in 2018 were the subjects. The students were exposed to creative expressions under various topics which were then emphasized to be utilized in continuous writing. As a result, the performance of students had improved significantly in their continuous writing where they eventually scored 100 percent pass in SPM1119 in 2018. All 24 Highly Competent students were able to score ranging from “A-” to “A+” with grade A being the median grade. On the other hand, all the students from the Limited English Proficiency students passed with grades ranging from “A”+ to “E” (minimum passing grade) with grade “B” as the median.


2018 ◽  
Vol 19 (3) ◽  
pp. 932-953 ◽  
Author(s):  
Jarkko Joki ◽  
Maija Aksela

Teaching chemical bonding using the octet rule as an explanatory principle is problematic in many ways. The aim of this case study is to understand the learning and teaching of chemical bonding using a research-informed teaching model in which chemical bonding is introduced as an electrostatic phenomenon. The study posed two main questions: (i) how does a student's understanding of chemical bonding evolve from lower- to upper-secondary school when an electrostatic model of chemical bonding was used at the lower-secondary level? (ii) How does the teaching of octets/full shells at the upper-secondary level affect students’ understanding? The same students were interviewed after lower-secondary school and again during their first year at upper-secondary school. Their upper-level chemistry teachers were also interviewed. The interview data were analysed using the grounded theory method. The findings showed that the students’ earlier proper understanding of the electrostatic-interactions model at the lower-secondary level did not prevent the later development of less-canonical thinking. Teachers’ pedagogical content knowledge (PCK) of the explanatory principles of chemical bonding and how to use explanations in science education needs to be promoted in both pre-service teacher education and during in-service training.


2004 ◽  
Vol 143-144 ◽  
pp. 1-35
Author(s):  
Emilia Di Martino

This paper presents the results of an Action Research project aimed at exploring (1) the possibility of implementing Cooperative Learning and (2) the possible benefits of doing so in the author’s specific teaching situation at Upper Secondary level in Italy.


2019 ◽  
Vol 22 (5) ◽  
pp. 1259-1279 ◽  
Author(s):  
Jan Arvid Haugan ◽  
Per Frostad ◽  
Per-Egil Mjaavatn

Abstract This article illuminates factors predicting students’ intention to leave upper secondary school. The research is anchored in an ecological theoretical perspective that considers dropout as a multifaceted phenomenon that culminates in the decision to leave school. Based on this, we have used a longitudinal research design to investigate to what extent factors related to students’ experiences predict their intention to leave school early. The sample in this study comprises 1695 students from upper secondary schools in the county of Trøndelag in Norway. We ran descriptive analyses, correlations and hierarchical regression to analyse our data. In the stepwise causal modelling, the independent variables were placed in the same order as the hypotheses were formulated. This enabled us to test each of the independent variables to explain how much variance there was in the dependent variable (intention to leave) beyond those entered in the previous steps. The results show that the students’ grades from elementary school, parental and teacher support and school engagement in upper secondary school are important explanatory factors leading to dropout. Loneliness at secondary school and students’ ability to cope with stressful life events seem to be the two most important predictive factors in relation to the students’ thoughts about leaving.


2016 ◽  
Vol 16 (2) ◽  
pp. 188-208 ◽  
Author(s):  
Frances Wilson ◽  
Simon Child ◽  
Irenka Suto

High stakes assessments are commonly used at the end of secondary school to select students for higher education. However, growing concerns about the preparedness of new undergraduates for university study have led to an increased focus on the form of assessments used at upper secondary level. This study compared the structure and format of assessments used at upper secondary level (GCE A level qualifications), and the first year of undergraduate study of English literature in England. Greater diversity of assessment was found at university compared to A level, while there was little difference in the level of scaffolding and guidance provided in assessment materials. We conclude that it seems inevitable that some students will meet forms of assessment with which they are unfamiliar at university. Implications for the design of first-year undergraduate courses are discussed.


2016 ◽  
Vol 10 (1) ◽  
pp. 1 ◽  
Author(s):  
Aslaug Fodstad Gourvennec

Artikkelen søker å bidra til kunnskap om utvikling av fagspesifikk ferdighetsutøvelse, nærmere bestemt om litterær faglighet slik den kommer til uttrykk i meningsskapingen i møtet mellom leser/e og tekst. Slik kunnskap er en forutsetning for å svare på grunnleggende ideer både i Kunnskapsløftet og i Fremtidens skole (NOU2015:8). Artikkelen søker å besvare hvordan tre elever på vei inn i et mer akademisk preget litteraturfag skaper en plass for seg selv og hverandre i den litterære samtalen som faglig praksis. En litterær gruppesamtale mellom tre høytpresterende vg1-elever studeres i lys av James Paul Gees såkalte building tasks (2011). Primært studeres de forbindelsene (connections) elevene skaper i meningsskapingsprosessen. Analysene viser at elevene nærmer seg teksten på ulikt vis og aktiverer erfaringer fra ulike felt. De er engasjerte i samtalen og teksten, tar og gir hverandre plass i det faglige fellesskapet og trer inn i og former faglig identitet og praksis. De utfordringene elevene støter på i samtalen er knyttet til manglende redskaper for å håndtere tolkningsmangfold og teksters motstand, og artikkelen peker både på muligheter og utfordringer for praksis. Nøkkelord: faglig praksis og identitetsbygging, engasjement, litterære samtaler, litteraturundervisningAbstractThis article seeks to contribute to knowledge of the development of disciplinary literacy practices, more specifically, literary disciplinarity – as it emerges in the meaning-making process between reader/s and text. Such knowledge is required in order to respond to fundamental ideas in the Norwegian Curriculum and the Official Public Report about the school of the future (NOU 2015:8). This article seeks to answer how three students entering a more scholarly literature subject than before, make a place for themselves and each other in the literary conversation as a disciplinary practice. By means of James Paul Gee’s building tasks (2011), particularly the connections the students build in their meaning-making process, a literary group conversation among three high achieving students in the beginning of upper secondary school is studied. The analyses reveal that the students approach the text in different ways, activating experiences from different fields. They are engaged in the conversation and the text, take and give each other a place in the disciplinary community, and enter and form the disciplinary practice. The challenges the students encounter during the conversation are connected to a lack of tools to handle the wide range of possible interpretations and the text’s obstacles. Hence, this article points towards both possibilities and challenges in matters of literature education.Keywords: disciplinary practice and identity building, engagement, literary conversations, literature education


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