Abstract
The study examined the knowledge of the functional relations between potential difference, magnitude of current, and resistance among seventh graders, ninth graders, 11th graders (in technical schools), and college students. It also tested the efficiency of a learning device named “functional learning” derived from cognitive psychology on the knowledge of these relations. A total of 73 participants were confronted with pictorial electrical circuits. Their task was to learn to infer resistance from potential difference and magnitude of current information, without any recourse to formal computations. It was possible to characterize, in a simple way, each student’s initial conceptualizations about the relationships between potential difference, magnitude of current and resistance. These initial conceptualizations were very diverse, from the correct one to completely different ones to completely opposite ones. Learning was, to a certain extent, possible; but the learning sessions were more effective among students that had already been exposed to Ohm’s law at school. Learning had durable effects, at least in the medium term (5 weeks), and mainly among the older students. There was a good correspondence between the state of learning of the relationships and the ability to solve classical physics problems related to these relationships.
Résumé
Cette étude a examiné les connaissances des relations fonctionnelles existant entre la différence de potentiel, l’intensité du courant et la résistance électrique chez des élèves de 5ème, 3ème, 1ère de collège technique et chez des terminales de lycée. Elle a également évalué l'efficacité d’un outil pédagogique dérivé de la psychologie cognitive relatif à la connaissance de ces relations et dénommé « apprentissage fonctionnel ». Soixante-treize participants ont été confrontés à des schémas électriques. Ils devaient apprendre à inférer la résistance à partir d’informations sur la différence de potentiel et sur l'intensité du courant sans avoir aucun recours à des calculs formels. Les conceptualisations initiales de chaque étudiant ont été caractérisées. Elles étaient très diverses, des plus correctes aux plus incorrectes. L'apprentissage s’est avéré possible dans certaines limites, mais il s’est révélé plus efficace chez les étudiants qui avaient déjà suivi des cours sur la loi d'Ohm. Les effets de cet apprentissage ont été durables, au moins à moyen terme (cinq semaines), principalement chez les étudiants les plus âgés. Une bonne correspondance a été observée entre le niveau d’apprentissage des relations et la capacité à résoudre des problèmes classiques de physique liés à celles-ci.
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References
Amso, D., & Casey, B. J. (2006). Beyond what develops and when. Neuroimaging may inform how cognition changes with development. Current Directions in Psychological Science, 15, 24–29.
Anderson, N. H. (1996). A functional theory of cognition. Mahwah: Erlbaum.
Anderson, N. H., & Wilkening, F. (1991). Adaptive thinking in intuitive physics. In N. H. Anderson (Ed.), Contributions to information integration theory. Vol. 3: Developmental (pp. 1–42). Hillsdale: Erlbaum.
Andre, T., & Ding, P. (1991). Students misconceptions, declarative knowledge, stimulus conditions, and problem solving in basic electricity. Contemporary Educational Psychology, 16, 303–313.
Balzer, W. K., Doherty, M. E., & O’Connor, R., Jr. (1989). Effects of cognitive feedback on performance. Psychological Bulletin, 106, 410–433.
Baser, M. (2006). Promoting conceptual change through active learning using open source software for physics simulations. Australasian Journal of Educational Technology, 22, 336–354.
Bonnin-Scaon, S., Lafon, P., Chasseigne, G., Mullet, E., & Sorum, P. C. (2002). Learning the relationship between smoking, drinking alcohol, and the risk of esophagal cancer. Health Education Research, 17, 415–424.
Borges, A. T., & Gilbert, J. K. (1999). Mental models of electricity. International Journal of Science Education, 21, 95–117.
Brehmer, B. (1969). Cognitive dependence of additive and configural cue–criterion relations. The American Journal of Psychology, 83, 490–503.
Brehmer, B. (1974). Hypotheses about relations between scaled variables in the learning of probabilistic infernces tasks. Organizational Behavior and Human Performance, 11, 1–27.
Carroll, J. D. (1963). Functional learning: The learning of continuous functional mappings relating stimulus and response continua (ETS RB 63–26). Princeton: Educational Testing Service.
Casey, B. J., Tottenham, N., Liston, C., & Durston, S. (2005). Imaging the developing brain: What have we learned about cognitive development? Trends in Cognitive Sciences, 9, 104–110.
Çepni, S., & Keleş, E. (2006). Turkish students’ conceptions about the simple electric circuits. International Journal of Science and Mathematics Education, 4, 269–291.
Çepni, S., Tas, E., & Kose, S. (2006). The effects of computer assisted material on students’ cognitive levels, misconceptions and attitudes towards science. Computers & Education, 46, 192–205.
Chang, K.-E., Liu, S. H., & Chen, S. W. (1998). A testing system for diagnosing misconceptions in DC electric circuits. Computers & Education, 31, 195–210.
Chasseigne, G., Mullet, E., & Stewart, T. (1997). Aging and probability learning: The case of inverse relationships. Acta Psychologica, 97, 235–252.
Chasseigne, G., Grau, S., Mullet, E., & Cama, V. (1999). How do elderly people cope with uncertainty in a learning task? Acta Psychologica, 103, 229–238.
Chasseigne, G., Lafon, P., & Mullet, E. (2002). Aging and rule learning: The case of the multiplicative law. The American Journal of Psychology, 115(3), 315–330.
Chasseigne, G., Ligneau, C., Grau, S., Le Gall, A., Roque, M., & Mullet, E. (2004). Aging and probabilistic learning in single- and multiple-cue tasks. Experimental Aging Research, 30(1), 23–45.
Cheng, P. C.-H. (2002). Electrifying diagrams for learning: Principles for complex representational systems. Cognitive Science, 26, 685–736.
Cohen, R., Eylon, B., & Ganiel, U. (1983). Potential difference and current in simple electric circuits: A study of students’ concepts. American Journal of Physics, 51, 407–412.
Deffenbacher, K. A., & Hamm, N. H. (1972). An application of Brunswik’s lens model to developmental changes in probability learning. Developmental Psychology, 6, 508–519.
DeLosh, E. L., Busemeyer, J. R., & McDaniel, M. A. (1997). Extrapolation: The sine qua non for abstraction in function learning. Journal of Experimental Psychology. Learning, Memory, and Cognition, 23, 968–986.
Dixon, J. A., & Moore, C. F. (1996). The developmental role of intuitive principles in choosing mathematical strategies. Developmental Psychology, 32, 241–253.
Doherty, M. E., & Balzer, W. K. (1988). Cognitive feedback. In B. Brehmer & C. R. B. Joyce (Eds.), Human judgment: The SJT view. Amsterdam: North Holland.
Fleer, M. (1994). Determining children’s understanding of electricity. Journal of Educational Research, 87, 248–253.
Garon, N., Bryson, S. E., & Smith, I. M. (2008). Executive function in preschoolers: A review using an integrative framework. Psychological Bulletin, 134, 31–60.
Hammond, K. R., & Stewart, T. R. (2001). The essential Brunswik: Beginnings, explications, applications. Oxford: Oxford University Press.
Hammond, K. R., Stewart, T. R., Brehmer, B., & Steinmann, D. O. (1975). Social judgment theory. In M. Kaplan & S. Schartz (Eds.), Human judgment and decision processes. New York: Academic Press.
Johsua, S., & Dupin, J. J. (1985). Schematic diagrams, representations and types of reasoning in basic electricity. In R. Duit, W. Jung, H. Pfund, & C. von Rhöneck (Eds.), Aspects of understanding electricity (pp. 129–138). Kiel: IPN.
Karpp, E. R., & Anderson, N. H. (1997). Cognitive assessment of cognitive knowledge. Journal of Research in Science Teaching, 34, 359–376.
Klayman, J. (1988). On the how and why (not) of learning from outcomes. In B. Brehmer & C. R. B. Joyce (Eds.), Human judgment: the SJT view. Amsterdam: North Holland.
Koh, K. (1993). Induction of combination rules in two-dimensional function learning. Memory & Cognition, 21, 573–590.
Kwon, Y.-J., & Lawson, A. E. (2000). Linking brain growth with the development of scientific reasoning ability and conceptual change during adolescence. Journal of Research in Science Teaching, 37, 44–62.
Kwon, Y.-J., Lawson, A. E., Chung, W.-H., & Kim, Y.-S. (2000). Effect on development of proportional skill of physical experience and cognitive abilities associated with prefrontal lobe activity. Journal of Research in Science Teaching, 33, 1171–1182.
Lafon, P., Chasseigne, G., & Mullet, E. (2004). Functional learning among children, adolescents and young adults. Journal of Experimental Child Psychology, 88(4), 334–347.
Leoni, V., & Mullet, E. (1993). Evolution of the intuitive mastery of the relationships betveen mass, volume, and density from nursery school to college. Genetic, Social, and General Psychology Monographs, 119, 389–412.
Léoni, V., Mullet, E., & Chasseigne, G. (2002). Aging and intuitive physics. Acta Psychologica, 111, 29–43.
Liégeois, L., & Mullet, E. (2002). High school students’ understanding of resistance in simple electric circuits. International Journal of Science Education, 24, 551–564.
Liégeois, L., Chasseigne, G., Papin, S., & Mullet, E. (2003). Improving high school students’ understanding of potential difference in simple electric circuits. International Journal of Science Education, 25, 1129–1145.
Malafosse, D., Lerouge, A., & Dusseau, J.-M. (2000). Étude, en inter-didactique des mathématiques et de la physique, de l’acquisition de la loi d’Ohm au collège: espace de réalité. Didaskalia, 16, 81–106.
Marcovitch, S., & Zelazo, P. D. (2009). A hierarchical competing systems model of the emergence and early development of executive function. Developmental Science, 12, 1–25.
Mclldowie, E. (1998). Teaching voltage–current relationships without Ohm’s law. Physics Education, 33, 292–295.
Miklich, D. R., & Gillis, J. S. (1975). Interaction of age and cue validities in multiple-cue probability learning by children. Psychological Reports, 37, 235–240.
Millar, R., & Beh, K. L. (1993). Students’ understanding of voltage in simple parallel circuits. International Journal of Science Education, 15, 351–361.
Millar, R., & King, T. (1993). Students’ understanding of voltage in simple series electric circuits. International Journal of Science Education, 15, 339–349.
Montanelli, D. S. (1972). Multiple-cue learning in children. Developmental Psychology, 7, 302–313.
Muñoz Sastre, M. T., & Mullet, E. (1998). Evolution of the intuitive mastery of the relationship between base, exponent, and number magnitude in high school students. Mathematical Cognition, 4, 67–77.
Musielak, C., Chasseigne, G., & Mullet, E. (2006). The learning of non-linear functions among younger and older adults. Experimental Aging Research, 32, 317–339.
Psillos, D., & Koumaras, P. (1993). Multiple causal modeling of electrical circuits for enhancing knowledge intelligibility. In M. Caillot (Ed.), Learning electricity and electronics with advanced educational techniques (pp. 57–75). New York: Springer.
Rozencwajg, P. (1992). Analysis of problem solving strategies on electricity problems in 12 to 13 year olds. European Journal of Psychology of Education, 7, 5–22.
Rulence-Pâques, P., & Mullet, E. (1998). Area judgment from width and height information: The case of the rectangle. Journal of Experimental Child Psychology, 69, 22–48.
Shepardson, D. P., & Moje, E. B. (1999). The role of anomalous data in restructuring fourth graders’ frameworks for understanding electric circuits. International Journal of Science Education, 21, 77–94.
Slovic, P. (1974). Hypothesis testing in the learning of positive and negative linear functions. Organizational Behavior and Human Performance, 11, 368–376.
Stavy, R., & Tirosh, D. (1996). Intuitive rule in mathematics and science: The case of ‘The more of A-the more of B’. International Journal of Science Education, 10, 303–316.
Stuss, D. T. (1992). Biological and psychological development of executive functions. Brain and Cognition, 20, 8–23.
Stuss, D. T., & Alexander, M. P. (2000). Executive functions and the frontal lobes: A conceptual view. Psychological Research, 63, 289–298.
Tirosh, D. S., & Stavy, R. (1999). Intuitive rules: A way to explain and predict students reasoning. Educational Studies in Mathematics, 38, 51–66.
Toga, A. W., Thompson, P. M., & Sowell, E. R. (2006). Mapping brain maturation. Trends in Neurosciences, 29, 148–159.
Tsai, C. (2001). Collaboratively developing instructional activities of conceptual change through the internet: Science teachers’ perspectives. British Journal of Educational Technology, 32, 619–622.
Viard, J., & Langlois, F. K. (2001). The concept of electrical resistance: How Cassirer’s philosophy, and the early developments of electric circuit theory, allow a better understanding of students’ learning difficulties. Science & Education, 10, 267–286.
Zelazo, P. D., Carter, A., Reznik, J. S., & Fry, D. (1997). Early development of executive function: a problem solving framework. Review of General Psychology, 1, 198–226.
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Gérard Chasseigne. Université de Reims Champagne-Ardenne, Laboratoire CLEA (EA-4296), 39 rue Taittinger, F-51036 Reims Cedex, France. E-mail: gerard.chasseigne@univ-reims.fr; Web site: http://www.unimv-reims.fr/CLEA/
Current theme of research:
Functional learning. Judgment and decision making.
Most relevant publications in the field of Psychology of Education:
Bonnin-Scaon, S., Lafon, P., Chasseigne, G., Mullet, E., and Sorum, P. (2002). Learning the relationship between smoking, drinking alcohol, and the risk of oesophageal cancer. Health Education Research, 17, 415–424.
Léoni, V., Mullet, E., and Chasseigne, G. (2002). Aging and intuitive physics. Acta Psychologica, 111(1), 29–43.
Chasseigne, G., Lafon, P., and Mullet, E. (2002). Aging and rule learning: The case of the multiplicative law. American Journal of Psychology, 115(3), 315–330.
Liégeois, L., Chasseigne, G., Papin, S., and Mullet, E., (2003). Improving high school students’ understanding of potential difference in simple electric circuits. International Journal of Science Education, 25(9), 1129–1145.
Lafon, P., Chasseigne, G., and Mullet, E. (2004). Functional learning among children, adolescents and young adults. Journal of Experimental Child Psychology, 88 (4), 334–347.
Caroline Giraudeau. Université François-Rabelais, Laboratoire Psychologie des Ages de la Vie (EA-2114), 3 rue des Tanneurs, F-37041 Tours Cedex. E-mail: caroline.giraudeau@univ-tours.fr
Current theme of research:
Lay conceptions of intelligence. Cognitive and developmental psychology.
Most relevant publications in the field of Psychology of Education:
Giraudeau, C., Chasseigne, G, Apter, M. J., and Mullet, E. (2007). Adult’s lay views about intelligence: A reversal theory approach. Personality and Individual Differences, 42, 169–179.
Peggy Lafon. Université François-Rabelais, Département de Psychologie, 3 rue des Tanneurs, F-37041 Tours Cedex. E-mail: peggy.lafon@hotmail.fr
Current theme of research:
Functional learning.
Most relevant publications in the field of Psychology of Education:
Bonnin-Scaon, S., Lafon, P., Chasseigne, G., Mullet, E., and Sorum, P. C. (2002). Learning the relationship between smoking, drinking alcohol, and the risk of esophagal cancer. Health Education Research, 17, 415–424.
Chasseigne, G., Lafon, P., and Mullet, E. (2002). Aging and rule learning: The case of the multiplicative law. American Journal of Psychology, 115, 315–330.
Lafon, P., Chasseigne, G., and Mullet, E. (2004) Functional learning among children, adolescents and young adults. Journal of Experimental Child Psychology, 88, 334–347.
Etienne Mullet. École Pratique des Hautes Études, Laboratoire Éthique et Travail, UMR CNRS 5263, 17 bis rue de Quefes, 31830 Plaisance, France. E-mail: etienne.mullet@wanadoo.fr; Web site: http://tinyurl.com/y8aed3f
Current theme of research:
Functional measurement.
Most relevant publications in the field of Psychology of Education:
Chartier, D., Mullet, E., and Grandjean, J. C. (1991). Effectiveness of a physics computer program on 15-year-old “technology” students. Journal of Educational Computing Research, 7, 219–232.
Leoni, V., and Mullet, E. (1993). Evolution of the intuitive mastery of the relationships betveen mass, volume, and density from nursery school to college. Genetic, Social, and General Psychology Monographs, 119, 389–412.
Muñoz Sastre, M. T., and Mullet, E. (1998). Evolution of the intuitive mastery of the relationship between base, exponent, and number magnitude in high school students. Mathematical Cognition, 4, 67–77.
Liégeois, L., and Mullet, E. (2002). High school students’ understanding of resistance in simple electric circuits. International Journal of Science Education, 24, 551–564.
Liégeois, L. Chasseigne, G., Papin, S., and Mullet, E. (2003). Improving high school students’ understanding of potential difference in simple electric circuits. International Journal of Science Education, 25, 1129–1145.
Financial support
This work was supported by the University of Reims Champagne-Ardenne (BQR grant), the Ethics and Work laboratory (Institute for Advanced Studies), and the University of Toulouse II-Le Mirail (CLLE-LTC, UTM, CNRS, EPHE).
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Chasseigne, G., Giraudeau, C., Lafon, P. et al. Improving students’ ability to intuitively infer resistance from magnitude of current and potential difference information: A functional learning approach. Eur J Psychol Educ 26, 1–19 (2011). https://doi.org/10.1007/s10212-010-0048-z
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DOI: https://doi.org/10.1007/s10212-010-0048-z