Analysis of Mathematical Structure to Identify Students’ Understanding of a Scientific Concept: pH Value and scale
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Many topics in science, especially, abstract concepts, relationships, properties, entities in invisible ranges, are described in mathematical representations such as formula, numbers, symbols, and graphs. Although the mathematical representation is an essential tool to better understand scientific phenomena, the mathematical element is pointed out as a reason for learning difficulty and losing interests in science. In order to further investigate the relationship between mathematics knowledge and science understanding, the current study examined 793 high school students’ understanding of the pH value. As a measure of the molar concentration of hydrogen ions in the solution, the pH value is an appropriate example to explore what a student mathematical structure of logarithm is and how they interpret the proportional relationship of numbers for scientific explanation. To the end, students were asked to write their responses on a questionnaire that is composed of nine content domain questions and four affective domain questions. Data analysis of this study provides information for the relationship between student understanding of the pH value and related mathematics knowledge.
Abstract
Many topics in science, especially, abstract concepts, relationships, properties, entities in invisible ranges, are described in mathematical representations such as formula, numbers, symbols, and graphs. Although the mathematical representation is an essential tool to better understand scientific phenomena, the mathematical element is pointed out as a reason for learning difficulty and losing interests in science. In order to further investigate the relationship between mathematics knowledge and science understanding, the current study examined 793 high school students’ understanding of the pH value. As a measure of the molar concentration of hydrogen ions in the solution, the pH value is an appropriate example to explore what a student mathematical structure of logarithm is and how they interpret the proportional relationship of numbers for scientific explanation. To the end, students were asked to write their responses on a questionnaire that is composed of nine content domain questions and four affective domain questions. Data analysis of this study provides information for the relationship between student understanding of the pH value and related mathematics knowledge.
참고문헌 (20)
- Akatugba, A. H., "An integrative perspective on students' proportional reasoning in high school physics in a West African context", International Journal of Science Education, 31(11), pp.1473~1493 (2009)
- Confrey, J., "Learning to listen: A student's understanding of powers of ten. E. von Glasersfeld (ed.), Radical Constructivism in mathematics education", pp.111~138 (1991), Kluwer Academic Publishers
- Dhindsa, H. S., "Pre-service science teachers' conceptions of pH", Australian Journal of Educational Chemistry, 60, pp.19~24 (2002)
- Drane, D., "An evaluation of the efficacy and transferability of a nanoscience module", Journal of Nano Education, 1(1), pp.8~14 (2009)
- Hilton, T. L., "Student interest and persistence in science: Changes in the educational pipeline in the last decade", Journal of Higher Education, 59(5), pp.510~526 (1988)
- Jenkins, E. W., "Public understanding of science and science education for action", Journal of Curriculum Studies, 26(6), pp.610~611 (1994)
- Jones, M. G., "Understanding scale: Powers of ten", Journal of Science Education and Technology, 16(2), pp.191~202 (2006)
- Lin, J-W., "Exploring characteristics and diverse sources of students' mental models in acids and bases", International Journal of Science Education, 29(6), pp.771~803 (2007)
- Lin, J-W., "The mismatch between students' mental models of acids", bases and their sources and their teacher's anticipations thereof, 2010, pp.32(12), 1617~1646
- Nakhleh, M. B., "The effect of level of information as presented by different technologies on students' understanding of acid, base and pH concepts", Journal of Research in Science Teaching, 31(10), pp.1077~1096 (1994)
- Ross, B., "Concept mapping and misconceptions: A study of highschool students' understanding of acids and bases", International Journal of Science Education, 13(1), pp.11~24 (1991)
- Osborne, J., "Pupils' views of the role and value of the science curriculum: a focus-group study", International Journal of Science Education, 23(5), pp.441~467 (2001)
- Osborne, J., "Attitudes towards science: a review of the literature and its implication", International Journal of Science Education, 25(9), pp.1049~1079 (2003)
- Park, E-J., "Student understanding of scale: from additive to multiplicative reasoning in the construction of scale representation by ordering objects in a number line"
- Schmidt, H. J., "A label as a hidden persuader: Chemists' neutralization concept", International Journal of Science Education, 13(4), pp.459~471 (1991)
- Smith, E., "Multiplicative structures and the development of logarithms: What was lost by the invention of function? Eds. G, Harel, & J, Confrey. The development of multiplicative reasoning in the learning of mathematics" (1994), State University of New York Press
- Swarat, S., "A Typology of Undergraduate Students' Conceptions of Size and Scale: Identifying and Characterizing Conceptual Variation", Journal of Research in Science Teaching
- Tretter, T. R., "Conceptual boundaries and distances: Students' and experts' concepts of the scale of scientific phenomena", Journal of Research in Science Teaching, 43(3), pp.282~319 (2006)
- Turnbull, H. W., "The great mathematicians" (1969), New York University Press
- Watters, D. J., "Student understanding of pH: “I don't know what the log actually is, I only know where the button is on my calculator”", Biochemistry and Molecular Biology Education, 34(4), pp.278~284 (2006)