Skip to main content
Log in

Conceptual Versus Algorithmic Problem-solving: Focusing on Problems Dealing with Conservation of Matter in Chemistry

  • Published:
Research in Science Education Aims and scope Submit manuscript

Abstract

The students’ performance in various types of problems dealing with the conservation of matter during chemical reactions has been investigated at different levels of schooling. The participants were 499 ninth grade (ages 14, 15 years) and 624 eleventh grade (ages 16, 17 years) Greek students. Data was collected using a written questionnaire concerning basic chemical concepts. Results of statistical factor and correlation analysis confirmed the classification of the problems used in three types: “algorithmic-type”, “particulate-type”, and “conceptual-type”. All the students had a far better performance in “particulate-type” problems than in the others. Although students’ ability in solving “algorithmic-type” problem increases as their school experience in chemistry progresses, their ability in solving “conceptual-type” problems decreases. Students’ achievement in chemistry was measured by a Chemical Concepts Test (CCT) containing 57 questions of various forms. High-achievement students scored higher both on “algorithmic-type” and “particulate-type” problems than low achievers with the greatest difference observed in solving “algorithmic-type” problems. It is concluded that competence in “particulate-type” and “algorithmic-type” problem solving may be independent of competence in solving “conceptual-type” ones. Furthermore, it was found that students’ misconceptions concerning chemical reactions and equivalence between mass and energy are impediments to their problem solving abilities. Finally, based on the findings, few suggestions concerning teaching practices are discussed.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Agung, S., & Schwartz, M. S. (2007). Students’ understanding of conservation of matter, stoichiometry, and balancing equations in Indonesia. International Journal of Science Education, 29, 1679–1702.

    Article  Google Scholar 

  • Andersson, B. (1986). Pupils’ explanations of some aspects of chemical reactions. Science Education, 70, 549–563.

    Article  Google Scholar 

  • Bilgin, I. (2006). The effects of pair problem solving technique incorporating Polya’s problem solving strategy on undergraduate students’ performance in chemistry. Journal of Science Education, 7, 101–106.

    Google Scholar 

  • Bodner, M. G., & Herron, J. D. (2002). Problem-solving in chemistry. In J. K. Gilbert, O. de Jong, R. Justi, D. F. Treagust, & J. H. van Driel (Eds.), Chemical education: Towards research-based practice (pp. 235–265). Kluwer Academic Publishers: Netherlands.

    Google Scholar 

  • BouJaoude, S., Salloum, S., & Abd-El-Khalick, F. (2004). Relationship between cognitive variables and students’ ability to solve chemistry problems. International Journal of Science Education, 26, 63–84.

    Article  Google Scholar 

  • Bowen, W. C., & Bunce, M. D. (1997). Testing for conceptual understanding in General Chemistry. The Chemical Educator, 2, 1–17.

    Article  Google Scholar 

  • Bunce, D. M., & Gabel, D. L. (2002). Differential effects on the achievement of males and females of teaching the particulate nature of chemistry. Journal of Research in Science Teaching, 39, 911–927.

    Article  Google Scholar 

  • Cracolice, M. S., Deming, J. C., & Ehlert, B. (2008). Concept learning versus problem solving: a cognitive difference. Journal of Chemical Education, 85, 873–878.

    Article  Google Scholar 

  • DeMeo, S. (2001). Making assumptions explicit: how the law of conservation of matter can explain empirical formula problems. Journal of Chemical Education, 78, 1050–1052.

    Article  Google Scholar 

  • Duffy, D. Q., Shaw, S. A., Bare, W. D., & Goldsby, K. A. (1995). More chemistry in a soda bottle: a conservation of mass activity. Journal of Chemical Education, 72, 734–736.

    Article  Google Scholar 

  • Duschl, R. A., Schweingruber, H. A., & Shouse, A. W. (Eds.). (2007). Taking science to school: learning and teaching science in grades K-8. Washington: National Academies Press.

    Google Scholar 

  • Field, A. (2000). Discovering statistics using SPSS for Windows. London: SAGE Publications.

    Google Scholar 

  • Gabel, D. L. (1999). Improving teaching and learning through education research: a look to the future. Journal of Chemical Education, 76, 548–554.

    Article  Google Scholar 

  • Glachino, G. G. (1987). Control of variables and the conservation of matter. Journal of Chemical Education, 64, 353.

    Article  Google Scholar 

  • Gomez, M.-A., Pozo, J.-I., & Sanz, A. (1995). Students’ ideas on conservation of matter: effects of expertise and context variables. Science Education, 79, 77–93.

    Article  Google Scholar 

  • Haidar, A. H. (1997). Prospective chemistry teachers’ conceptions of the conservation of matter and related concepts. Journal of Research in Science Teaching, 34, 181–197.

    Article  Google Scholar 

  • Haláková, Z., & Proksa, M. (2007). Two kinds of conceptual problems in chemistry teaching. Journal of Chemical Education, 84, 172–174.

    Article  Google Scholar 

  • Hesse, J. J., & Anderson, C. W. (1992). Students' conceptions of chemical change. Journal of Research in Science Teaching, 29, 277–299.

    Article  Google Scholar 

  • Lythcott, J. (1990). Problem solving and requisite knowledge of chemistry. Journal of Chemical Education, 67, 248–252.

    Article  Google Scholar 

  • Martin, D., Russel, R. D., & Thomas, N. (1992). Demonstrating the conservation of matter: a trilogy of experiments. Journal of Chemical Education, 69, 925–926.

    Article  Google Scholar 

  • Mason, D. S., Shell, D. F., & Crawley, F. E. (1997). Differences in problem solving nonscience majors in introductory chemistry on paired algorithmic-conceptual problems. Journal of Research in Science Teaching, 34, 905–923.

    Article  Google Scholar 

  • Ministry of National Education and Religious Affairs (2008). The Educational System. Retrieved June 8, 2010, from http://www.ypepth.gr/en_ec_page1531.htm.

  • Nakhleh, M. B. (1993). Are our student’s conceptual thinkers or algorithmic problem solvers? Journal of Chemical Education, 70, 52–55.

    Article  Google Scholar 

  • Nakhleh, M. B., & Mitchell, R. C. (1993). Concept learning versus problem solving: there is a difference. Journal of Chemical Education, 70, 190–192.

    Article  Google Scholar 

  • Niaz, M. (1988). The information processing demand of chemistry problems and its relation to Pascual-Leone’s functional M-capacity. International Journal of Science Education, 10, 231–238.

    Article  Google Scholar 

  • Niaz, M. (1995). Progressive transitions from algorithmic to conceptual understanding in student ability to solve chemistry problems: a Lakatosian interpretation. Science Education, 79, 19–36.

    Article  Google Scholar 

  • Noh, T., & Scharmannn, L. C. (1997). Instructional influence of a molecular-level pictorial presentation of matter on students’ conceptions and problem solving ability. Journal of Research in Science Teaching, 34, 199–217.

    Article  Google Scholar 

  • Nurrenbern, S., & Pickering, M. (1987). Concept learning versus problem solving. Is there a difference? Journal of Chemical Education, 64, 508–510.

    Article  Google Scholar 

  • Ozmen, H., & Ayas, A. (2003). Students’ difficulties in understanding of conservation of matter in open and closed-system chemical reactions. Chemistry Education: Research and Practice, 4, 279–290.

    Google Scholar 

  • Pauling, L. (1970). General chemistry. New York: Dover Publications, Inc.

    Google Scholar 

  • Piaget, J., & Inhelder, B. (1974). The child’s construction of quantities. London: Routledge and Kegan Paul.

    Google Scholar 

  • Pickering, M. (1990). Further studies on concept learning versus problem solving. Journal of Chemical Education, 67, 254–255.

    Article  Google Scholar 

  • Robinson, W. R., & Nurrenbern, S. C. (2009a). Conceptual Questions (CQs). Retrieved June 10, 2010, from http://jchemed.chem.wisc.edu/JCEDLib/QBank/collection/CQandChP/CQs/TypesOfCQs.html

  • Robinson, W. R., & Nurrenbern, S. C. (2009b). Conceptual Questions (CQs). Retrieved June 10 2010, from http://jchemed.chem.wisc.edu/JCEWWW/Features/CQandChP/CQs/CQIntro.html

  • Salta, K. (2007). An investigation of Students’ Knowledge, Cognitive Skills, and Attitudes Acquired from the Chemistry Courses in Secondary Education. Dissertation, University of Athens.

  • Sanger, M. J. (2000). Using particulate drawings to determine and improve students’ conceptions of pure substances and mixtures. Journal of Chemical Education, 77, 762–766.

    Article  Google Scholar 

  • Sanger, M., & Phelps, A. J. (2007). What are students thinking when they pick their answer? A content analysis of students’ explanations of gas properties. Journal of Chemical Education, 84, 870–874.

    Article  Google Scholar 

  • Sawrey, B. A. (1990). Concept learning versus problem solving: revisited. Journal of Chemical Education, 67, 253–254.

    Article  Google Scholar 

  • Smith, J. K., & Metz, A. P. (1996). Evaluating student understanding of solution chemistry through microscopic representations. Journal of Chemical Education, 73, 233–235.

    Article  Google Scholar 

  • Staver, J. R., & Lumpe, A. T. (1995). Two investigations of students’ understanding of the mole concept and its use in problem solving. Journal of Research in Science Teaching, 32, 177–193.

    Article  Google Scholar 

  • Treptow, R. S. (1986a). Conservation of mass: fact or fiction? Journal of Chemical Education, 63, 103–105.

    Article  Google Scholar 

  • Treptow, R. S. (1986b). Conservation of mass: it’s proper place. Journal of Chemical Education, 63, 1052.

    Article  Google Scholar 

  • Tuckman, B. W. (1999). Conducting educational research (5th ed.). Orlando: Harcourt Brace College Publishers.

    Google Scholar 

Download references

Acknowledgement

This work was partial supported by fund from “Special Account for Research Grants” of the National and Kapodistrian University of Athens.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Katerina Salta.

Appendix

Appendix

Problem 1

The quantity of hydrogen chloride shown in the next diagram decomposes to hydrogen and chlorine. Which of the following diagrams illustrate the products of this reaction?

figure a
figure b

Problem 2

The quantities of nitrogen and hydrogen shown in the next diagram reacted and ammonia was produced. Which of the following diagrams illustrate the product of this reaction correctly?

figure c
figure d

Problem 3

The empty petrol tank of a car is filled with 20 kg of petrol. The car is driven until the petrol tank is empty. What is the weight of the exhaust gases released during the drive?

  1. a.

    More than 20 kg.

  2. b.

    Less than 20 kg.

  3. c.

    Equal to 20 kg.

  4. d.

    It is impossible to predict.

Explain your choice.

..........................................................................................................................................

Problem 4

Iron reacts with oxygen and water from the air to produce rust. When an iron nail, which weighs 10 g, is exposed to the atmospheric air, it will be rusted after a few days. What will be the weight of the rusty nail?

  1. a.

    More than 10 g.

  2. b.

    Less than 10 g.

  3. c.

    Equal to 10 g.

  4. d.

    It is impossible to predict.

Explain your choice.

..........................................................................................................................................

Problem 5

Four grams of hydrogen and 32 g of oxygen react completely to produce water. Calculate the mass of water produced from this reaction.

..........................................................................................................................................

..........................................................................................................................................

Problem 6

Eleven grams of carbon dioxide and 9 g of water are produced from combustion of 4 g methane. Calculate the requisite mass of oxygen for this reaction.

..........................................................................................................................................

..........................................................................................................................................

Rights and permissions

Reprints and permissions

About this article

Cite this article

Salta, K., Tzougraki, C. Conceptual Versus Algorithmic Problem-solving: Focusing on Problems Dealing with Conservation of Matter in Chemistry. Res Sci Educ 41, 587–609 (2011). https://doi.org/10.1007/s11165-010-9181-6

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11165-010-9181-6

Keywords

Navigation