International Electronic Journal of Mathematics Education

International Electronic Journal of Mathematics Education Indexed in ESCI
Specific Mathematics Learning Objectives Expressed by Teachers in Training
APA
In-text citation: (Castro-Rodríguez et al., 2022)
Reference: Castro-Rodríguez, E., Ruiz-Hidalgo, J. F., Lupiáñez, J. L., Fernández-Plaza, J. A., Rico, L., Segovia, I., & Flores, P. (2022). Specific Mathematics Learning Objectives Expressed by Teachers in Training. International Electronic Journal of Mathematics Education, 17(2), em0675. https://doi.org/10.29333/iejme/11670
AMA
In-text citation: (1), (2), (3), etc.
Reference: Castro-Rodríguez E, Ruiz-Hidalgo JF, Lupiáñez JL, et al. Specific Mathematics Learning Objectives Expressed by Teachers in Training. INT ELECT J MATH ED. 2022;17(2), em0675. https://doi.org/10.29333/iejme/11670
Chicago
In-text citation: (Castro-Rodríguez et al., 2022)
Reference: Castro-Rodríguez, Elena, Juan F. Ruiz-Hidalgo, Jose L. Lupiáñez, Jose A. Fernández-Plaza, Luis Rico, Isidoro Segovia, and Pablo Flores. "Specific Mathematics Learning Objectives Expressed by Teachers in Training". International Electronic Journal of Mathematics Education 2022 17 no. 2 (2022): em0675. https://doi.org/10.29333/iejme/11670
Harvard
In-text citation: (Castro-Rodríguez et al., 2022)
Reference: Castro-Rodríguez, E., Ruiz-Hidalgo, J. F., Lupiáñez, J. L., Fernández-Plaza, J. A., Rico, L., Segovia, I., and Flores, P. (2022). Specific Mathematics Learning Objectives Expressed by Teachers in Training. International Electronic Journal of Mathematics Education, 17(2), em0675. https://doi.org/10.29333/iejme/11670
MLA
In-text citation: (Castro-Rodríguez et al., 2022)
Reference: Castro-Rodríguez, Elena et al. "Specific Mathematics Learning Objectives Expressed by Teachers in Training". International Electronic Journal of Mathematics Education, vol. 17, no. 2, 2022, em0675. https://doi.org/10.29333/iejme/11670
Vancouver
In-text citation: (1), (2), (3), etc.
Reference: Castro-Rodríguez E, Ruiz-Hidalgo JF, Lupiáñez JL, Fernández-Plaza JA, Rico L, Segovia I, et al. Specific Mathematics Learning Objectives Expressed by Teachers in Training. INT ELECT J MATH ED. 2022;17(2):em0675. https://doi.org/10.29333/iejme/11670

Abstract

The formulation of learning objectives is considered an important task for teaching at all educational levels. However, teachers tend to trivialize learning objectives and consider them as part of an administrative requirement. This study sought to characterize the specific learning objectives for two school mathematics tasks posed by primary teachers in training, and to study the differences in the objectives proposed for each task. By means of a semantic questionnaire, the proposals were collected, classified and analysed using categories based on a triad of components for a specific objective: capability, content, and context. The responses show both an instrumental approach—where knowledge consists in mastering techniques and algorithms useful to furthering certain behaviours and attaining specific objectives—and a structural approach—where knowledge consists in a structured system of formalized rules and concepts based on the deduction. Moreover, this expectation depends on the kind of school task.

Disclosures

Declaration of Conflict of Interest: No conflict of interest is declared by author(s).

Data sharing statement: Data supporting the findings and conclusions are available upon request from the corresponding author(s).

References

  • Aguayo-Arriagada, C. G., Flores, P., & Moreno, A. (2018). Concepto de objetivo de una tarea matemática de futuros maestros. Bolema, 32(62), 990-1011. https://doi.org/10.1590/1980-4415v32n62a12
  • Brousseau, G., Brousseau, G., & Warfield, V. M. (2014). Teaching fractions through situations: A fundamental experience. Springer. https://doi.org/10.1007/978-94-007-2715-1
  • Burkhardt, H. (2014). Curriculum Design and Systemic Change. In Y. Li & G. Lappan (Eds.), Mathematics Curriculum in School Education (pp. 13-34). Springer. https://doi.org/10.1007/978-94-007-7560-2_2
  • Carrillo, J., Climent, N., & Contreras, L. C. (2013). Determining specialized knowledge for mathematics teaching. In B. Ubuz, C. Haser, & M. A. Mariotti (Eds.), Proceedings of the CERME 8 (pp. 2985-2994). Middle East Technical University, ERME.
  • Charalambous, C. Y., & Pitta-Pantazi, D. (2007). Drawing on a theoretical model to study students’ understandings of fractions. Educational Studies in Mathematics, 64(3), 293-316. https://doi.org/10.1007/s10649-006-9036-2
  • Chen, J. C., Reys, B. J., & Reys, R. E. (2009). Analysis of the learning expectations related to grade 1-8 measurement in some countries. International Journal of Science and Mathematics Education, 7, 1013-1031. https://doi.org/10.1007/s10763-008-9148-5
  • Cluff, J. J. (2005). Fraction multiplication and division image change in pre-service elementary teachers (Doctoral dissertation). Brigham Young University.
  • Cohen, L., Manion, L., & Morrison, K. (2011). Research methods in education. Routledge.
  • Creswell, J. W. (2014). Research design: Qualitative, quantitative, and mixed methods approaches (4th ed.). Sage publications.
  • DeLong, M., Winter, D., & Yackel, C. (2005a). Student learning objectives and mathematics teaching. PRIMUS, 15(3), 226-258. https://doi.org/10.1080/10511970508984119
  • DeLong, M., Winter, D., & Yackel, C. (2005b). Mental maps and learning objectives: The FAST-SLO algorithm for creating student learning objectives. PRIMUS, 15(4), 307-338. https://doi.org/10.1080/10511970508984126
  • Gander, S. L. (2006). Throw out learning objectives! In support of a new taxonomy. Performance Improvement, 45(3), 9-15. https://doi.org/10.1002/pfi.2006.4930450304
  • Guest, G., MacQueen, K. M., & Namey, E. E. (2012). Applied thematic analysis. Sage. https://doi.org/10.4135/9781483384436
  • Hiebert, J., Morris, A. K., & Spitzer, S. M. (2018). Diagnosing learning goals: an often overlooked teaching competency. In T. Leuders, K. Philipp, & J. Leuders (Eds.), Diagnostic competence of mathematics teachers. Mathematics Teacher Education (vol. 11, pp. 193-206). Springer, Cham. https://doi.org/10.1007/978-3-319-66327-2_10
  • Howson, G., Keitel, C., & Kilpatrick, J. (1981). Curriculum Development in Mathematics. Cambridge University Press. https://doi.org/10.1017/CBO9780511569722
  • International Commision on Mathematical Instruction (2018). ICMI Study 24. School Mathematics curriculum reforms: Challenges, changes and opportunities. Discussion document.
  • Khait, A. (2003). Goal orientation in mathematics education. International Journal of Mathematical Education in Science and Technology, 34(6), 847-858. https://doi.org/10.1080/00207390310001595438
  • Kilpatrick, J. (2009). The mathematics teacher and curriculum change. PNA, 3(3), 107-121.
  • Lamon, S. J. (1993). Ratio and proportion: Children’s cognitive and metacognitive processes. In T. P. Carpenter, E. Fennema, & T. A. Romberg /Eds.), Rational numbers: An integration of research (pp. 131-156). Lawrence Erlbaum Associates.
  • Landmann, M. (2013). Development of a Scale to Assess the demand for specific competences in teachers after graduation from university. European Journal of Teacher Education, 36(4), 413-427. https://doi.org/10.1080/02619768.2013.837046
  • Lin, C., Hung, P., Lin, S. W., Lin, B., & Lin, F. (2009). The power of learning goal orientation in predicting student mathematics achievement. International Journal of Science and Mathematics Education, 7, 551-573. https://doi.org/10.1007/s10763-008-9132-0
  • Lupiáñez, J. L., & Rico, L. (2011). Statement of specific objectives in a mathematics teacher training program. XIII Inter-American Conference on Mathematics Education. Recife, Brazil.
  • Morris, A. K., & Hiebert, J. (2009). Introduction: Building knowledge bases and improving systems of practice. The Elementary School Journal, 109, 429-441. https://doi.org/10.1086/596994
  • Neuendorf, K. A. (2002). The content analysis guidebook. Sage.
  • Niss, M. (1996). Goals of Mathematics Teaching. In A. Bishop et al. (Ed.) International Handbook of Mathematics Education (pp. 11-47). Kluwer Academic Publishers. https://doi.org/10.1007/978-94-009-1465-0_3
  • OECD. (2017). PISA 2015 Assessment and Analytical Framework: Science, Reading, Mathematic, Financial Literacy and Collaborative Problem Solving, revised edition. PISA, OECD Publishing. https://doi.org/10.1787/9789264281820-en
  • Ornstein, A. C. (1987). The Field of Curriculum: What Approach? What Definition? The High School Journal, 70(4), 208-216.
  • Petrou, M., & Goulding, M. (2011). Conceptualising teachers’ mathematical knowledge in teaching. In T. Rowland & K. Ruthven (Eds.), Mathematical knowledge in teaching (pp. 9-25). Springer. https://doi.org/10.1007/978-90-481-9766-8_2
  • Putra, Z. H. (2019). Danish pre-service teachers’ mathematical and didactical knowledge of operations with rational numbers. International Electronic Journal of Mathematics Education, 14(3), 619-632. https://doi.org/10.29333/iejme/5775
  • Reys, R. E., Lindquist, M., Lambdin, D. V., Suidam, M., & Smith, N. L. (2007). Helping children learn mathematics. Wiley.
  • Rico, L., & Lupiáñez, J. L. (2008). Competencias matemáticas desde una perspectiva curricular [Mathematical competences from a curricular perspective]. Alianza Editorial.
  • Rico, L., & Ruiz-Hidalgo, J. F. (2018). Ideas to work for the curriculum change in school Mathematics. In Y. Shimizu & R. Vithal (Eds.), Conference proceedings of the twenty-fourth ICMI Study: School Mathematics curriculum reforms: Challenges, changes and opportunities (pp. 301-308). International Commission on Mathematical Instruction and University of Tsukuba.
  • Sullivan, P., Clarke, D., Clarke, B., & O’Shea, H. (2010). Exploring the relationship between task, teacher actions, and student learning. PNA, 4(4), 133-142. https://doi.org/10.30827/pna.v4i4.6163
  • Taba, H. (1962). Curriculum development. Theory and practice. Harcout, Brace & World.
  • Tyler, R. W. (1949). Basic principles of curriculum and instruction. University of Chicago Press.
  • Zabalza, M. A. (2000). Diseño y desarrollo curricular [Currilulum design and development]. Narcea.

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