Matematiikka-ahdistuksen lieventäminen rentoutus- ja kertolaskuharjoittelulla

Pilotti-interventiotutkimus

Authors

DOI:

https://doi.org/10.31129/LUMAT.12.3.2474

Keywords:

interventio, kehorytmiharjoitus, kertolaskuharjoitus, matemaattiset taidot, matematiikka-ahdistus, rentoutusharjoitus

Abstract

Tämän tutkimuksen tarkoituksena oli kehittää ja pilotoida luokassa toteutettavia matematiikka-ahdistusta lieventäviä harjoitusohjelmia. Tutkimukseen osallistui 80 viides- ja kuudesluokkalaista (KA = 12.3 v.). Jokaiselle luokalle arvottiin yksi kolmesta harjoitusohjelmasta, jota tehtiin matematiikan tuntien alussa, noin 3–6 minuuttia, kolme kertaa viikossa kolmen viikon ajan. Interventioryhmissä tehtiin rentoutus- tai kertolaskuharjoituksia ja aktiivisessa kontrolliryhmässä kehorytmiharjoituksia. Oppilaat vastasivat matematiikka-ahdistusta koskevaan kyselyyn ja tekivät laskusujuvuuden testin (kertolaskut ja moninumeroiset laskut) ennen ja jälkeen harjoittelujakson. Ryhmien sisäiset tarkastelut t-testeillä osoittivat, että rentoutusharjoittelulla oli keskisuuri laskeva vaikutus (g = –0.33) affektiiviseen matematiikka-ahdistukseen, mutta muutos jäi hieman tilastollisesta merkitsevyydestä (p = .082). Kertolaskuharjoittelu-ryhmässä kertolaskusujuvuus kehittyi tilastollisesti merkitsevästi (g = 0.47, p = .015) ja moninumeroisten laskujen sujuvuuteen muutos oli lähes merkitsevä (g = 0.36, p = .059). Kehorytmiharjoittelulla ei havaittu vaikutusta matematiikka-ahdistukseen eikä laskusujuvuuteen. Kovarianssinalyysillä tarkasteltuna ryhmien välillä ei löytynyt eroja loppumittauksessa. Pilottitutkimuksen tulokset ovat lupaavia interventio-ohjelmien kehittämis- ja jatkotutkimukselle.


Reducing math anxiety by relaxation and multiplication training: A pilot intervention study 

Abstract: The purpose was to develop and pilot classroom-based math anxiety-relieving intervention programmes. Participants were 80 fifth and sixth-grade students (Mage = 12.3 years). Each class was assigned one programme, which was carried out by the teacher at the beginning of mathematics lessons, for about 3–6 minutes, three times a week for three weeks. The intervention groups did either relaxation or multiplication exercises and the active control group did body rhythm exercises. Students completed a math anxiety questionnaire and calculation fluency tests before and after the training period. Within-group t-tests showed that relaxation training had a moderate decreasing effect (g = -0.33) on affective math anxiety and multiplication training in multiplication fluency (g = 0.47). No effects were observed with body rhythm training. When examined by ANCOVA, no differences were found between the groups at the post-test.

Keywords: intervention, body rhythm training, multiplication training, math skills, math anxiety, relaxation training         

References

Abd Elmegaly, A.A., (2022). Evaluation of Expectation Maximization and Full Information Maximum Likelihood as a handling techniques for missing data. International Journal of Innovative Research in Sciences and Engineering Studies, 2(4), 13–19. http://ijirses.com/wp-content/uploads/2022/05/IJIRSES-020505.pdf

Aitlahti, K. & Reinikainen, S. 2018. Uusia polkuja rauhoittumiseen. Helsinki: Lasten Keskus Oy. Mielenterveystalo. https://www.mielenterveystalo.fi/fi

Arch, J. J., & Craske, M. G. (2006). Mechanisms of mindfulness: Emotion regulation following a focused breathing induction. Behaviour Research and Therapy, 44(12), 1849–1858. https://doi.org/10.1016/j.brat.2005.12.007

Ashcraft, M. H., Krause, J. A., & Hopko, D. (2007). Is math anxiety a mathematical learning disability? In D. B. Berch & M. M. M. Mazzocco (Eds.), Why Is Math So Hard For Some Children? The Nature and Origins of Mathematical Learning Difficulties and Disabilities (pp. 329–348). Paul H Brookes Publishing Co.

Asanjarani, F., & Zarebahramabadi, M. (2021). Evaluating the effectiveness of cognitive-behavioral therapy on math self-concept and math anxiety of elementary school students. Preventing School Failure: Alternative Education for Children and Youth, 65(3), 223–229. https://doi.org/10.1080/1045988X.2021.1888685

Au, J., Gibson, B. C., Bunarjo, K., Buschkuehl, M., & Jaeggi, S. M. (2020). Quantifying the difference between active and passive control groups in cognitive interventions using two meta-analytical approaches. Journal of Cognitive Enhancement, 4(2), 192–210. https://doi.org/10.1007/s41465-020-00164-6

Balt, M., Börnert-Ringleb, M., & Orbach, L. (2022). Reducing Math Anxiety in School Children: A Systematic Review of Intervention Research. Frontiers in Education, 7. https://doi.org/10.3389/feduc.2022.798516

Barroso, C., Ganley, C. M., McGraw, A. L., Geer, E. A., Hart, S. A., & Daucourt, M. C. (2021). A meta-analysis of the relation between math anxiety and math achievement. Psychological Bulletin, 147(2), 134–168. https://doi.org/10.1037/bul0000307

Bhatia, P., Le Diagon, S., Langlois, E., William, M., Prado, J., & Gardes, M.-L. (2023). Impact of a game-based intervention on fraction learning for fifth-grade students: A pre-registered randomized controlled study. Journal of Computer Assisted Learning, 39(1), 49–62. https://doi.org/10.1111/jcal.12726

Bishop, S. R., Lau, M., Shapiro, S., Carlson, L., Anderson, N. D., Carmody, J., Segal, Z. V., Abbey, S., Speca, M., Velting, D., & Devins, G. (2004). Mindfulness: A proposed operational definition. Clinical Psychology: Science and Practice, 11(3), 230–241. https://doi.org/10.1093/clipsy.bph077

Blacking, J. (1997). Towards an anthropology of the body. Teoksessa J. Blacking (Toim.), The anthropology of the body (ss. 1–28). Academic press.

Brunyé, T. T., Mahoney, C. R., Giles, G. E., Rapp, D. N., Taylor, H. A., & Kanarek, R. B. (2013). Learning to relax: Evaluating four brief interventions for overcoming the negative emotions accompanying math anxiety. Learning and Individual Differences, 27, 1–7. https://doi.org/10.1016/j.lindif.2013.06.008

Carey, E., Hill, F., Devine, A., & Szücs, D. (2016). The Chicken or the Egg? The Direction of the Relationship Between Mathematics Anxiety and Mathematics Performance. Frontiers in Psychology, 6. https://doi.org/10.3389/fpsyg.2015.01987

Cargnelutti, E., Tomasetto, C., & Passolunghi, M. C. (2017). How is anxiety related to math performance in young students? A longitudinal study of Grade 2 to Grade 3 children. Cognition and Emotion, 31(4), 755–764. https://doi.org/10.1080/02699931.2016.1147421

Cipora, K., Artemenko, C., & Nuerk, H. C. (2019). Different ways to measure math anxiety. Teoksessa I. C. Mammarella, S. Caviola, & A. Dowker (Toim.), Mathematics Anxiety. What is Known and What is Still to be Understood (ss. 20–41). Routledge.

Cohen, J. (2013). Statistical Power Analysis for the Behavioral Sciences (2nd ed.). Routledge. https://doi.org/10.4324/9780203771587

Cohen, J., & Cohen, P. (1983). Applied multiple regression/correlation analysis for the behavioral sciences (2nd ed.). Lawrence Erlbaum Associates.

Dondio, P., Gusev, V., & Rocha, M. (2023). Do games reduce maths anxiety? A meta-analysis. Computers & Education, 194, 104650. https://doi.org/10.1016/j.compedu.2022.104650

Dong, Y., Peng, C-Y.J. (2013). Principled missing data methods for researchers. SpringerPlus 2, 222. https://doi.org/10.1186/2193-1801-2-222

Dotan, D., & Zviran-Ginat, S. (2022). Elementary math in elementary school: The effect of interference on learning the multiplication table. Cognitive Research: Principles and Implications, 7(1), 101. https://doi.org/10.1186/s41235-022-00451-0

Elliott, D. J. (Toim.). (2005). Praxial music education: Reflections and dialogues. Oxford University Press.

Godøy, R. I. (2018). Motor Constraints Shaping Musical Experience. Music Theory Online, 24(3). https://mtosmt.org/issues/mto.18.24.3/mto.18.24.3.godoy.html

Gunderson, E. A., Park, D., Maloney, E. A., Beilock, S. L., & Levine, S. C. (2018). Reciprocal relations among motivational frameworks, math anxiety, and math achievement in early elementary school. Journal of Cognition and Development, 19(1), 21–46. https://doi.org/10.1080/15248372.2017.1421538

Henschel, S., & Roick, T. (2017). Relationships of mathematics performance, control and value beliefs with cognitive and affective math anxiety. Learning and Individual Differences, 55, 97–107. https://doi.org/10.1016/j.lindif.2017.03.009

Ho, H.-Z., Senturk, D., Lam, A., Zimmer, J., Hong, S., Okamoto, Y., Chiu, S.-Y., Nakazawa, Y., & Wang, C.-P. (2000). The Affective and Cognitive Dimensions of Math Anxiety: A Cross-National Study. Journal for Research in Mathematics Education, 31, 362. https://doi.org/10.2307/749811

Hodges, D., & Gruhn, W. (2012). Implications of neurosciences and brain research for music teaching and learning. Teoksessa G. E. McPherson & G. F. Welch (Toim.), Oxford handbook of music education (Vsk. 1, ss. 205–223). Oxford University. https://doi.org/10.1093/oxfordhb/9780199730810.013.0012_update_001

Jansen, B. R. J., Louwerse, J., Straatemeier, M., Van der Ven, S. H. G., Klinkenberg, S., & Van der Maas, H. L. J. (2013). The influence of experiencing success in math on math anxiety, perceived math competence, and math performance. Learning and Individual Differences, 24, 190–197. https://doi.org/10.1016/j.lindif.2012.12.014

Jordan, N. C., Glutting, J., Dyson, N., Hassinger-Das, B., & Irwin, C. (2012). Building kindergartners’ number sense: A randomized controlled study. Journal of Educational Psychology, 104(3), 647–660. https://doi.org/10.1037/a0029018

Juntunen, M.-L. (2004, lokakuuta 12). Embodiment in Dalcroze Eurhythmics [Väitöskirja]. Jultika.Oulu.Fi. https://oulurepo.oulu.fi/handle/10024/34615

Kaskens, J., Segers, E., Goei, S. L., van Luit, J. E. H., & Verhoeven, L. (2020). Impact of Children’s math self-concept, math self-efficacy, math anxiety, and teacher competencies on math development. Teaching and Teacher Education, 94, 103096. https://doi.org/10.1016/j.tate.2020.103096

Khng, K. H. (2017). A better state-of-mind: Deep breathing reduces state anxiety and enhances test performance through regulating test cognitions in children. Cognition and Emotion, 31(7), 1502–1510. https://doi.org/10.1080/02699931.2016.1233095

Kucian, K., Zuber, I., Kohn, J., Poltz, N., Wyschkon, A., Esser, G., & von Aster, M. (2018). Relation Between Mathematical Performance, Math Anxiety, and Affective Priming in Children With and Without Developmental Dyscalculia. Frontiers in Psychology, 9. https://doi.org/10.3389/fpsyg.2018.00263

Känsäkoski, M., & Mononen, R. (2024, huhtikuuta 30). Matematiikka-ahdistus ja sen yhteys matematiikan osaamiseen kolmannella luokalla. Psykologia. http://www.psykologia.fi/uusin-numero/artikkelit/tieteelliset-artikkelit/1188-matematiikka-ahdistus-ja-sen-yhteys-matematiikan-osaamiseen-kolmannella-luokalla

Lidov, D. (2005). Is language a music? Writings on musical form and signification. Indiana University Press.

Ma, X., & Xu, J. (2004). The causal ordering of mathematics anxiety and mathematics achievement: A longitudinal panel analysis. Journal of Adolescence, 27(2), 165–179. https://doi.org/10.1016/j.adolescence.2003.11.003

Mieli. https://mieli.fi

Müller, C., Otto, B., Sawitzki, V., Kanagalingam, P., Scherer, J.-S., & Lindberg, S. (2021). Short breaks at school: Effects of a physical activity and a mindfulness intervention on children’s attention, reading comprehension, and self-esteem. Trends in Neuroscience and Education, 25, 100160. https://doi.org/10.1016/j.tine.2021.100160

Namkung, J. M., Peng, P., & Lin, X. (2019). The Relation Between Mathematics Anxiety and Mathematics Performance Among School-Aged Students: A Meta-Analysis. Review of Educational Research, 89(3), 459–496. https://doi.org/10.3102/0034654319843494

Noël, M.-P., & De Visscher, A. (2018). Chapter 18—Hypersensitivity-to-Interference in Memory as a Possible Cause of Difficulty in Arithmetic Facts Storing. Teoksessa A. Henik & W. Fias (Toim.), Heterogeneity of Function in Numerical Cognition (ss. 387–408). Academic Press. https://doi.org/10.1016/B978-0-12-811529-9.00018-2

Opetushallitus. (2014). Perusopetuksen opetussuunnitelman perusteet 2014. Määräykset ja ohjeet 2014:96, Next Print Oy, Helsinki.

Ophuis-Cox, F. H. A., Catrysse, L., & Camp, G. (2023). The effect of retrieval practice on fluently retrieving multiplication facts in an authentic elementary school setting. Applied Cognitive Psychology, 37(6), 1463–1469. https://doi.org/10.1002/acp.4141

Passolunghi, M. C., De Vita, C., & Pellizzoni, S. (2020). Math anxiety and math achievement: The effects of emotional and math strategy training. Developmental Science, 23(6), e12964. https://doi.org/10.1111/desc.12964

Pellizzoni, S., Cargnelutti, E., Cuder, A., & Passolunghi, M. C. (2022). The interplay between math anxiety and working memory on math performance: A longitudinal study. Annals of the New York Academy of Sciences, 1510(1), 132–144. https://doi.org/10.1111/nyas.14722

Plummer, D. M. 2012. Focusing and calming games for children: Mindfulness strategies and activities to help children to relax, concentrate and take control. Lontoo: Jessica Kingsley Publishers.

Rawlings, A. M., Niemivirta, M., Korhonen, J., Lindskog, M., Tuominen, H., & Mononen, R. (2023). Achievement emotions and arithmetic fluency – Development and parallel processes during the early school years. Learning and Instruction, 86, 101776. https://doi.org/10.1016/j.learninstruc.2023.101776

Richardson, F. C., & Suinn, R. M. (1972). The Mathematics Anxiety Rating Scale: Psychometric data. Journal of Counseling Psychology, 19(6), 551–554. https://doi.org/10.1037/h0033456

Rodriguez, I. A., Nascimento, J. M. do, Voigt, M. F., & Santos, F. H. D. (2019). Numeracy musical training for school children with low achievement in mathematics. Anales de Psicología / Annals of Psychology, 35(3), Article 3. https://doi.org/10.6018/analesps.35.3.340091

Räsänen, P., Aunio, P., Laine, A., Hakkarainen, A., Väisänen, E., Finell, J., Rajala, T., Laakso, M.-J., & Korhonen, J. (2021). Effects of Gender on Basic Numerical and Arithmetic Skills: Pilot Data From Third to Ninth Grade for a Large-Scale Online Dyscalculia Screener. Frontiers in Education, 6. https://www.frontiersin.org/articles/10.3389/feduc.2021.683672

Saltzman, A. 2014. A still quiet place: A mindfulness program for teaching children and adolescents to ease stress and difficult emotions. Oakland: New Harbinger Publications.

Sammallahti, E., Finell, J., Jonsson, B., & Korhonen, J. (2023). A meta-analysis of math anxiety interventions. The Journal of Numerical Cognition, 9(2), 346–362. https://doi.org/10.5964/jnc.8401

Schonert-Reichl, K. A., & Lawlor, M. S. (2010). The Effects of a Mindfulness-Based Education Program on Pre- and Early Adolescents’ Well-Being and Social and Emotional Competence. Mindfulness, 1(3), 137–151. https://doi.org/10.1007/s12671-010-0011-8

Seitz, J. A. (2005). The neural, evolutionary, developmental, and bodily basis of metaphor. New Ideas in Psychology, 23(2), 74–95. https://doi.org/10.1016/j.newideapsych.2005.11.001

Song, C. S., Xu, C., Maloney, E. A., Skwarchuk, S.-L., Di Lonardo Burr, S., Lafay, A., Wylie, J., Osana, H. P., Douglas, H., & LeFevre, J.-A. (2021). Longitudinal relations between young students’ feelings about mathematics and arithmetic performance. Cognitive Development, 59, 101078. https://doi.org/10.1016/j.cogdev.2021.101078

Sorvo, R., Koponen, T., Viholainen, H., Aro, T., Räikkönen, E., Peura, P., Dowker, A., & Aro, M. (2017). Math anxiety and its relationship with basic arithmetic skills among primary school children. The British Journal of Educational Psychology, 87(3), 309–327. https://doi.org/10.1111/bjep.12151

Sorvo, R., Koponen, T., Viholainen, H., Aro, T., Räikkönen, E., Peura, P., Tolvanen, A., & Aro, M. (2019). Development of math anxiety and its longitudinal relationships with arithmetic achievement among primary school children. Learning and Individual Differences, 69, 173–181. https://doi.org/10.1016/j.lindif.2018.12.005

Suinn, R. M., Taylor, S., & Edwards, R. W. (1988). Suinn Mathematics Anxiety Rating Scale for Elementary School Students (MARS-E): Psychometric and Normative Data. Educational and Psychological Measurement, 48(4), 979–986. https://doi.org/10.1177/0013164488484013

Sullivan, G. M., & Feinn, R. (2012). Using Effect Size—Or Why the P Value Is Not Enough. Journal of Graduate Medical Education, 4(3), 279–282. https://doi.org/10.4300/JGME-D-12-00156.1

Syväoja, H. J., Sneck, S., Kukko, T., Asunta, P., Räsänen, P., Viholainen, H., Kulmala, J., Hakonen, H., & Tammelin, T. H. (2024). Effects of physically active maths lessons on children’s maths performance and maths-related affective factors: Multi-arm cluster randomized controlled trial. British Journal of Educational Psychology, 00, 1–23. https://doi.org/10.1111/bjep.12684

Tilastokeskus. (2021, lokakuuta 24). Väestön koulutusrakenne. https://pxdata.stat.fi/PxWeb/pxweb/fi/StatFin/StatFin__vkour/

Tobias, S. (1984). Test anxiety: Cognitive interference or inadequate preparation? Paper presented at the Annual Meeting of the American Educational Research Association (68th, New Orleans, LA, April 23-27, 1984). https://eric.ed.gov/?id=ED249260

Tok, Ş. (2013). Effects of the know-want-learn strategy on students’ mathematics achievement, anxiety and metacognitive skills. Metacognition and Learning, 8(2), 193–212. https://doi.org/10.1007/s11409-013-9101-z

Tok, Ş. (2015). The Effects of Teaching Mathematics Creatively on Academic Achievement, Attitudes towards Mathematics, and Mathematics Anxiety. International Journal of Innovation in Science and Mathematics Education, 23(4). https://openjournals.library.sydney.edu.au/CAL/article/view/7887

Turun Yliopisto, Oppimisanalytiikan tutkimusinstituutti. (ei pvm.). FUNA - Functional Numeracy Assessment. https://www.oppimisanalytiikka.fi/ville/funa/

Tähti, P., Finell, J., Tapola, A., Sammallahti, E., Widlund, A., Jonsson, B., Mononen, R., & Korhonen, J. (2025). Math anxiety and its relations to arithmetic fluency and number processing: A comparative study between Finnish, Finnish-Swedish, and Swedish fourth-grade students [Julkaisematon käsikirjoitus].

Wine, J. (1971). Test anxiety and direction of attention. Psychological Bulletin, 76(2), 92–104. https://doi.org/10.1037/h0031332Wittman, T. K., Marcinkiewicz, H. R., & Hamodey-Douglas, S. (1998). Computer Assisted Automatization of Multiplication Facts Reduces Mathematics Anxiety in Elementary School Children. https://eric.ed.gov/?id=ED423869

Živković, M., Pellizzoni, S., Doz, E., Cuder, A., Mammarella, I., & Passolunghi, M. C. (2023). Math self-efficacy or anxiety? The role of emotional and motivational contribution in math performance. Social Psychology of Education, 26(3), 579–601. https://doi.org/10.1007/s11218-023-09760-8

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2024-12-20

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Tähti, P., Sutela, K., Korhonen, J., & Mononen, R. (2024). Matematiikka-ahdistuksen lieventäminen rentoutus- ja kertolaskuharjoittelulla: Pilotti-interventiotutkimus. LUMAT: International Journal on Math, Science and Technology Education, 12(3), 11. https://doi.org/10.31129/LUMAT.12.3.2474

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