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RESEARCH PAPER
Mathematical knowledge of pre-service teachers when performing measurement estimation tasks
Paula López-Serentill 1
 
 
 
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Department of Specific Didactics, University of Girona, Girona, SPAIN
 
 
Publication date: 2024-09-17
 
 
EURASIA J. Math., Sci Tech. Ed 2024;20(9):em2508
DOI: https://doi.org/10.29333/ejmste/15169
 
 
Article (PDF)
References (52)
 
KEYWORDS
estimation
measurement of magnitudes
primary education
pre-service teachers
mathematical knowledge
 
ABSTRACT
Measurement estimation skills are relevant for our everyday life and should be addressed in the mathematics classroom. This study explores the measurement estimation strategies used by primary school pre-service teachers in length, area, volume, and capacity. The study participants consisted of 120 pre-service teachers who had not yet received formal university training on these concepts. While more than 80% demonstrated the ability to indicate a strategy and provide acceptable estimates for length measurements, significant difficulties were observed in estimating area, volume, and capacity, with many participants relying heavily on formulas. A series of activities were designed and implemented to improve pre-service teachers’ capacity for estimation. Results indicate a notable improvement in estimation skills following completion of the designed tasks. This study highlights the importance of addressing challenges in measurement estimation among pre-service teachers and offers insights for improving their proficiency in this area.
REFERENCES (52)
1.
Alsina, A. (2003). Desarrollo de competencias matemáticas con recursos lúdico-manipulativos para niños y niñas de 6 a 12 años [Development of mathematical skills with playful-manipulative resources for boys and girls from 6 to 12 years old]. Narcea S.A. de Ediciones.
Google Scholar
 
 
2.
Andrews, P., Xenofontos, P., & Judy Sayers, J. (2022). Estimation in the primary mathematics curricula of the United Kingdom: Ambivalent expectations of an essential competence. International Journal of Mathematical Education in Science and Technology, 53(8), 2199-2225. https://doi.org/10.1080/002073....
CrossRef
 
Google Scholar
 
 
3.
Attivo, B. J. A. (1979). The effects of three instructional strategies on prospective teacher’s ability to estimate length and area in the metric system [PhD thesis, The Pennsylvania State University].
Google Scholar
 
 
4.
Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59(5), 389-407. https://doi.org/10.1177/002248....
CrossRef
 
Google Scholar
 
 
5.
Barrera, S. C., de Gamboa, G., & Jiménez, E. R. B. (2019). Aproximación a las conexiones matemáticas que establecen futuros maestros de primaria en tareas de medida y comparación de áreas [Approach to the mathematical connections that future primary teachers establish in tasks of measurement and comparison of areas]. In Investigación en educación matemática XXIII (pp. 233-242). Sociedad Española de Investigación en Educación Matemática.
Google Scholar
 
 
6.
Baturo, A., & Nason, R. (1996). Student teachers’ subject matter knowledge within the domain of area measurement. Educational Studies in Mathematics, 31(3), 235-268. https://doi.org/10.1007/BF0037....
CrossRef
 
Google Scholar
 
 
7.
BOE. (2022). Real decreto 157/2022, de 1 de marzo, por el que se establecen la ordenación y las enseñanzas mínimas de la educación primaria [Royal decree 157/2022, of March 1, which establishes the organization and minimum teachings of primary education]. Ministerio de Educación y Formación Profesional. https://bit.ly/3MWojuA.
Google Scholar
 
 
8.
Bright, G. W. (1976). Estimation as part of learning to measure. In D. Nelson, & R. E. Reys (Eds.), Measurement in school mathematics, 1976 yearbook. (pp. 87-104). National Council of Teachers of Mathematics.
Google Scholar
 
 
9.
Castillo-Mateo, J. J. (2013). Estimación de cantidades continuas: Longitud y superficie [Estimation of continuous quantities: Length and surface] [PhD thesis, Universidad de Granada].
Google Scholar
 
 
10.
Castillo-Mateo, J. J., Segovia, I., & Molina, M. (2017). Estudio comparativo de la estimación de cantidades continuas que hacen los estudiantes de secundaria y futuros maestros [Comparative study of the estimation of continuous quantities made by high school students and future teachers]. PNA, 12(1), 45-62. https://doi.org/10.30827/pna.v....
CrossRef
 
Google Scholar
 
 
11.
Castillo-Mateo, J., Segovia, I., Castro, E., & Molina, M. (2012). Categorización de errores en la estimación de cantidades de longitud y superficie [Categorization of errors in the estimation of length and surface quantities]. In D. Arnau, J. Lupiáñez, & A. Maz (Eds.), Investigaciones en pensamiento numérico y algebraico e historia de la matemática y educación matemática-2012 (pp. 63-74). Departamento de Didáctica de la Matemática de la Universitat de València y SEIEM.
Google Scholar
 
 
12.
Chamorro, M. (1996) El currículum de medida en educación primaria y ESO y las capacidades de los escolares. Revista de Didáctica de Las Matemáticas, 10, 43-62.
Google Scholar
 
 
13.
Çilingir Altiner, E. (2024). Exploring measurement estimation strategies through concept cartoons designed with realistic mathematics education. Humanities and Social Sciences Communications, 11, Article 567. https://doi.org/10.1057/s41599....
CrossRef
 
Google Scholar
 
 
14.
Cockcroft, W. H. (1982). Mathematics counts. HM Stationery Office.
Google Scholar
 
 
15.
Darling-Hammond, L., & Bransford, J. (2005). Preparing teachers for a changing world: What teachers should learn and be able to do. Jossey-Bass.
Google Scholar
 
 
16.
Department of Education [England]. (2014). The national curriculum in England framework document. https://assets.publishing.serv....
Google Scholar
 
 
17.
Er, Z., & Artut, P. D. (2021). Determination of measurement estimation abilities of secondary school students. International Journal of Research in Education and Science, 7(4), 1090-1103. https://doi.org/10.46328/ijres....
CrossRef
 
Google Scholar
 
 
18.
Even, R., & Ball, D. L. (2009). The professional education and development of teachers of mathematics. Springer. https://doi.org/10.1007/978-0-....
CrossRef
 
Google Scholar
 
 
19.
Ghauri, P., & Gronhaug, K. (2010). Research methods in business studies. Prentice Hall.
Google Scholar
 
 
20.
Gooya, Z., Leyla G. Khosroshahi, L. G., & Teppo, A. R. (2011). Iranian students’ measurement estimation performance involving linear and area attributes of real-world objects. ZDM Mathematics Education, 43, 709-722. https://doi.org/10.1007/s11858....
CrossRef
 
Google Scholar
 
 
21.
Hattie, J. (2012). Visible learning for teachers. Routledge. https://doi.org/10.4324/978020....
CrossRef
 
Google Scholar
 
 
22.
Hildreth, D. J. (1983). The use of strategies in estimating measurements. The Arithmetic Teacher, 30(5), 50-54. https://doi.org/10.5951/AT.30.....
CrossRef
 
Google Scholar
 
 
23.
Hill, H. C., Ball, D. L., & Schilling, S. G. (2008). Unpacking pedagogical content knowledge: Conceptualizing and measuring teachers’ topic-specific knowledge of students. Journal for Research in Mathematics Education, 39(4), 372-400. https://doi.org/10.5951/jresem....
CrossRef
 
Google Scholar
 
 
24.
Hogan, T. P., & Brezinski, K. L. (2003) Quantitative estimation: One, two, or three abilities? Mathematical Thinking and Learning, 5(4), 259-280. https://doi.org/10.1207/S15327....
CrossRef
 
Google Scholar
 
 
25.
Hoover, M. (2014). Commentary on section 1: Mounting progress on understanding mathematics teacher content knowledge. In L. Jane-Jane, K. Leatham, & L. R. Van Zoest (Eds.), Research trends in mathematics teacher education (pp. 83-90). Springer. https://doi.org/10.1007/978-3-....
CrossRef
 
Google Scholar
 
 
26.
Hoth, J., Heinze, A., Huang, H. M. E., Weiher, D. F., Niedermeyer, I., & Ruwisch, S. (2023) Elementary school students’ length estimation skills–Analyzing a multidimensional construct in a cross-country study. International Journal of Science and Mathematics Education, 21, 1841-1865. https://doi.org/10.1007/s10763....
CrossRef
 
Google Scholar
 
 
27.
Hoth, J., Heinze, A., Weiher, D., Ruwisch, S., & Huang, H. (2019). Primary school students’ length estimation competence–A cross-country comparison between Taiwan and Germany. In J. Novotná, & H. Moraová (Eds.), Opportunities in learning and teaching elementary mathematics (pp. 201-211). Charles University.
Google Scholar
 
 
28.
Huang, H.-M. E. (2020). Effects of grade level and object size on students’ measurement estimation performance. EURASIA Journal of Mathematics, Science and Technology Education, 16(12), Article em1923. https://doi.org/10.29333/ejmst....
CrossRef
 
Google Scholar
 
 
29.
Jones, G., Taylor, A., & Broadwell, B. (2009). Estimating linear size and scale: Body rulers. International Journal of Science Education, 31(11), 1495-1509. https://doi.org/10.1080/095006....
CrossRef
 
Google Scholar
 
 
30.
Joram, E., Gabriele, A., Bertheau, M., Gelman, R., & Subrahmanyam, K. (2005) Children’s use of the reference point strategy for measurement estimation. Journal for Research in Mathematics Education, 36(1), 4-23.
Google Scholar
 
 
31.
Kılıç, Ç., & Olkun, S. (2013). Primary school students’ measurement estimation performance and strategies they used in real life situations. Elementary Education Online, 12, 295-307.
Google Scholar
 
 
32.
Levine, D. (1982). Strategy use and estimation ability of college students. Journal for Research in Mathematics Education, 13(5), 350-359. https://doi.org/10.5951/jresem....
CrossRef
 
Google Scholar
 
 
33.
Ley Orgánica. (2006). Ley Orgánica 2/2006, de 3 de Mayo, de Educación [Organic Law 2/2006, of May 3, on Education]. https://bit.ly/3wvxhZg.
Google Scholar
 
 
34.
López-Serentill, P. (2022). Categorización de los errores de los estudiantes para maestro de primaria en tareas de medida de magnitudes [Categorization of student errors for primary teacher in magnitude measurement tasks]. In T. F. Blanco, C. Núñez-García, M. C. Cañadas, & J. A. González-Calero (Eds.), Investigación en Educación Matemática XXV (pp. 363-371). SEIEM.
Google Scholar
 
 
35.
Luelmo, M. J. (2001). Medir en secundaria: Algo más que formulas [Medir en secundaria: Algo más que fórmulas]. X Jornada para el Aprendizaje y Enseñanza de las Matemáticas: Actas de X JAEM, 52, 727-737.
Google Scholar
 
 
36.
Moreno, M. F., Gil, F., & Montoro, A. B. (2015). Sentido de la medida [Sense of measurement]. In P. Flores, & L. Rico. (Eds.), Enseñanza y aprendizaje de las matemáticas en educación primaria (pp. 147-168). Pirámide.
Google Scholar
 
 
37.
NCTM. (2000). Principles and standards for school mathematics. National Council of Teachers of Mathematics.
Google Scholar
 
 
38.
Papadopoulos, I. (2010). “Reinventing” techniques for the estimation of the area of irregular plane figures: From the eighteenth century to the modern classroom. International Journal of Science and Mathematics Education, 8(5), 869-890. https://doi.org/10.1007/s10763....
CrossRef
 
Google Scholar
 
 
39.
Paull, D. R. (1971). The ability to estimate in mathematics [PhD thesis, Universidad de Columbia].
Google Scholar
 
 
40.
Pincheira, N., & Alsina, A. (2021). Teachers’ mathematics knowledge for teaching early algebra: A systematic review from the MKT perspective. Mathematics, 9(20), Article 2590. https://doi.org/10.3390/math92....
CrossRef
 
Google Scholar
 
 
41.
Pizarro, N., Albarracín, L., & Gorgorió, N. (2018). Actividades de estimación de medida: La interpretación de los docentes de educación primaria [Measurement estimation activities: The interpretation of primary education teachers]. Bolema: Boletim de Educação Matemática, 32(62), 1177-1197. https://doi.org/10.1590/1980-4....
CrossRef
 
Google Scholar
 
 
42.
Pizarro, N., Gorgorió, N., & Albarracín, L. (2014). Aproximación al conocimiento para la enseñanza de la estimación de medida de los maestros de primaria [Approach to knowledge for teaching measurement estimation for primary teachers]. In M. T. González, M. Codes, D. Arnau, & T. Ortega (Eds.), Investigación en educación matemática XVIII (pp. 523-532). SEIEM.
Google Scholar
 
 
43.
Pizarro, N., Gorgorió, N., & Albarracín, L. (2015). Primary teacher’ approach to measurement estimation activities. In Proceedings of the 9th Congress of the European Society for Research in Mathematics Education (pp. 3227-3233).
Google Scholar
 
 
44.
Riera, J. V., & Ruiz-Aguilera, D. (2015). La medida en la formación inicial de maestros [The measure in initial teacher training]. In P. Á. Sánchez (Ed.), 17 jornadas para el aprendizaje y la enseñanza de las matemáticas (pp. 1-12). Sociedad de Educación Matemática de la Región de Murcia, SEMRM.
Google Scholar
 
 
45.
Runnalls, C., & Hong, D. S. (2020). “Well, they understand the concept of area”: Pre-service teachers’ responses to student area misconceptions. Mathematics Education Research Journal, 32, 629-651. https://doi.org/10.1007/s13394....
CrossRef
 
Google Scholar
 
 
46.
Ruwisch, S., Heid, M., & Weiher, D. F. (2015). Measurement estimation in primary school: Which answer is adequate? In K. Beswick, T. Muir, & J. Fielding-Wells (Eds.), Proceedings of 39th Conference of the International Group for the Psychology of Mathematics Education (pp. 113-120). PME.
Google Scholar
 
 
47.
Satan, N., & Yetkin, İ. (2022). An analysis of the middle school students’ performance in the measurement estimation. Dokuz Eylül Üniversitesi Buca Eğitim Fakültesi Dergisi, (53), 700-724. https://doi.org/10.53444/deube....
CrossRef
 
Google Scholar
 
 
48.
Seah, R. T. K., & Horne, M. (2020). The influence of spatial reasoning on analysing about measurement situations. Mathematics Education Research Journal, 32, 365-386. https://doi.org/10.1007/s13394....
CrossRef
 
Google Scholar
 
 
49.
Segovia, I. (1997). Estimación de cantidades discretas. Estudio de variables y procesos [Estimation of discrete quantities. Study of variables and processes]. Comares.
Google Scholar
 
 
50.
Segovia, I., Castro, E., & Rico, L. (1989). Estimación en cálculo y medida [Estimation in calculation and measurement]. Síntesis.
Google Scholar
 
 
51.
Shulman, L. (1987). Knowledge and teaching: Foundations of the new reform. Harvard Educational Review, 57, 1-23. https://doi.org/10.17763/haer.....
CrossRef
 
Google Scholar
 
 
52.
Siegel, A. W., Goldsmith, L. T., & Madson, C. R. (1982). Skill in estimation problems of extent and numerosity. Journal for Research in Mathematics Education, 13(3), 211-232. https://doi.org/10.5951/jresem....
CrossRef
 
Google Scholar
 
 
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