Skip to main content

Young Students’ Feelings Towards Problem-Solving Tasks: What Does “Success” Imply?

  • Chapter
  • First Online:
Views and Beliefs in Mathematics Education

Abstract

According to the Swedish curriculum, problem-solving is to be part of mathematics teaching from preschool continuing throughout all grades in school. However, little is known about young students’ feelings towards problem-solving tasks. This paper reports on an educational design research study investigating the potential in teaching problem-solving in preschool classes (6-year-olds). Two examples are presented showing how the students evaluate their feelings towards the problem-solving tasks they have been working on. The results show that understanding a task from the beginning or being able to solve it quickly are not necessary prerequisites for young students to experience enjoyment when working with the tasks. Quite the opposite, the majority of the students evaluated the tasks as fun and accessible, even though their initial solutions were often incorrect and they had to struggle a lot to solve the problems.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Boaler, J. (2016). Mathematical mindsets: Unleashing students’ potential through creative math, inspiring messages and innovative teaching. San Francisco, CA: Jossey-Bass & Pfeiffer. http://ncm.gu.se/kangaru

  • Boesen, J., Helenius, O., Bergqvist, E., Bergqvist, T., Lithner, J., Palm, T., et al. (2014). Developing mathematical competence: From the intended to the enacted curriculum. The Journal of Mathematical Behavior, 33(1), 72–87.

    Article  Google Scholar 

  • Brown, R. (2017). Using collective argumentation to engage students in a primary mathematics classroom. Mathematics Education Research Journal, 29(2), 183–199.

    Article  Google Scholar 

  • Cai, J. (2010). Commentary on problem solving heuristics, affect, and discrete mathematics: A representational discussion. In B. Sriraman & L. English (Eds.), Theories of mathematics education: Seeking new frontiers (pp. 251–258). Dordrecht: Springer.

    Chapter  Google Scholar 

  • Carlson, M. (1999). The mathematical behavior of six successful mathematics graduate students: Influences leading to mathematical success. Educational Studies in Mathematics, 40(3), 237–258.

    Article  Google Scholar 

  • Chapman, E. (2003). Development and validation of a brief mathematics attitude scale for primary-aged students. Journal of Educational Enquiry, 4(2), 63–73.

    Google Scholar 

  • Claessens, A., Engel, M., & Curran, C. F. (2014). Academic content, student learning, and the persistence of preschool effects. American Educational Research Journal, 51(2), 403–434.

    Article  Google Scholar 

  • Clements, D. H., & Sarama, J. (2016). Math, science, and technology in the early grades. The Future of Children, 26(2), 75–94.

    Article  Google Scholar 

  • Cobb, P., Yackel, E., & Wood, T. (1989). Young children’s emotional acts while engaged in mathematical problem solving. In D. B. McLeod & V. M. Adams (Eds.), Affect and mathematical problem solving: A new perspective (pp. 117–148). New York: Springer.

    Chapter  Google Scholar 

  • Cross, C. T., Woods, T. A., & Schweingruber, H. (2009). Mathematics learning in early childhood: Paths toward excellence and equity. Washington, DC: National Research Council of the National Academics.

    Google Scholar 

  • Csapó, B., & Funke, J. (Eds.). (2017). The nature of problem solving. Using research to inspire 21st century learning. Paris: OECD Publishing.

    Google Scholar 

  • Debellis, V. A., & Goldin, G. A. (2006). Affect and meta-affect in mathematical problem solving: A representational perspective. Educational Studies in Mathematics, 63(2), 131–147.

    Article  Google Scholar 

  • Dowker, A., Bennet, K., & Smith, L. (2012). Attitudes to mathematics in primary school children. Child Development Research. https://doi.org/10.1155/2012/124939

    Google Scholar 

  • Hannula, M. S. (2016). Introduction, attitudes, beliefs, motivation, and identity in mathematics education. In G. A. Goldin, M. S. Hannula, E. Heyd-Metzuyanim, A. Jansen, R. Kaasila, S. Lutovac, & Q. Zhang (Eds.), Attitudes, beliefs, motivation and identity in mathematics education: An overview of the field and future directions (p. 1). Cham, Switzerland: Springer.

    Google Scholar 

  • Lesh, R., & Zawojewski, J. (2007). Problem solving and modelling. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 763–799). Charlotte, NC: National Council of Teachers of Mathematics and Information Age Publishing.

    Google Scholar 

  • Mason, J., & Johnston-Wilder, S. (2006). Designing and using mathematical tasks. St. Albans, UK: Tarquin.

    Google Scholar 

  • McKenney, S., & Reeves, T. (2012). Conducting educational design research. London: Routledge.

    Google Scholar 

  • National Agency for Education. (2011). Curriculum for the primary school, preschool class and leisure time center 2011. Stockholm: National Agency for Education.

    Google Scholar 

  • Op’t Eynde, P., De Corte, E., & Verschaffel, L. (2001). “What to learn from what we feel?”: The role of students’ emotions in the mathematics classroom. In S. Volet & S. Järvelä (Eds.), Motivation in learning contexts: Theoretical advances and methodological implications (pp. 149–167). (Advances in learning and instruction series). Oxford, UK: Elsevier Science.

    Google Scholar 

  • Palmér, H., & van Bommel, J. (2016). Exploring the role of representations when young children solve a combinatorial task. In J. Häggström, E. Norén, J. van Bommel, J. Sayers, O. Helenius, & Y. Liljekvist (Eds.), ICT in mathematics education: The future and the realities. Proceedings of MADIF 10, The tenth research seminar of the Swedish Society for Research in Mathematics Education, Karlstad, 26–27 Jan 2016. ISBN: 978-91-984024-0-7.

    Google Scholar 

  • Perry, B., & Dockett, S. (2008). Young children’s access to powerful mathematical ideas. In L. D. English (Ed.), Handbook of international research in mathematics education (pp. 75–108). New York: Routledge.

    Google Scholar 

  • Pinxten, M., Marsh, H. W., De Fraine, B., Van Den Noortgate, W., & Van Damme, J. (2013). Enjoying mathematics or feeling competent in mathematics? Reciprocal effects on mathematics achievement and perceived math effort expenditure. British Journal of Educational Psychology. https://doi.org/10.1111/bjep.12028

    Article  Google Scholar 

  • Schoenfeld, A. (1992). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 165–197). New York: Macmillan.

    Google Scholar 

  • Schoenfeld, A. H. (1985). Mathematical problem solving. Orlando: Academic Press.

    Google Scholar 

  • Smith, M. S., & Stein, M. K. (2014). 5 Practices for orchestrating productive mathematics discussions. Thousand Oaks, CA: Corwin.

    Google Scholar 

  • Swedish Research Council. (2011). God Forskningssed [Good custom in research]. Stockholm: Vetenskapsrådet.

    Google Scholar 

  • van Bommel, J., & Palmér, H. (2016). Young children exploring probability: With focus on their documentations. Nordic Studies in Mathematics Education, 21(4), 95–114.

    Google Scholar 

  • Wyndhamn, J., Riesbeck, E., & Schoultz, J. (2000). Problemlösning som metafor och praktik [Problem solving as a metaphor and practice]. Institutionen för tillämpad lärarkunskap: Linköpings Universitet.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hanna Palmér .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Palmér, H., van Bommel, J. (2018). Young Students’ Feelings Towards Problem-Solving Tasks: What Does “Success” Imply?. In: Rott, B., Törner, G., Peters-Dasdemir, J., Möller, A., Safrudiannur (eds) Views and Beliefs in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-01273-1_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-01273-1_7

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-01272-4

  • Online ISBN: 978-3-030-01273-1

  • eBook Packages: EducationEducation (R0)

Publish with us

Policies and ethics