Assessment Criteria Cited, Perceived, and Used by Mathematics Teachers in Primary Education
DOI:
https://doi.org/10.15359/ree.26-3.1Keywords:
Educational assessment, teachers’ thinking, assessment criteria, blinded assessment, mathematics, elementary educationAbstract
Objective. This work mainly aims to compare the assessment criteria considered most relevant by Mathematics teachers in Elementary Education with those they actually use and the perception their students have. Method. To this effect, we interviewed 30 teachers and 120 students. Additionally, the teachers participated in a blinded assessment of one student’s exam based on the criteria discovery method. They were asked to grade a test involving several mathematical tasks which a student had previously solved. They could ask questions to the interviewer without seeing the document. Results. Based on the transcriptions of the interviews, a content analysis was conducted to categorize and compare the assessment criteria expressed (by the teachers), perceived (by the students), and those used (in the blind assessment). Discussion and conclusions. The results suggest that teachers consider mental arithmetic, comprehension, and, above all, mathematical reasoning as the most important criteria. However, most of their students do not have the same perception. Furthermore, a third of the teachers are not sufficiently aware of the assessment criteria they are, in fact, using. Finally, we discuss the influence of assessment in mathematics.
References
Alves Martins, M., Matta, I., Mata, L. y Nunes, C. (1991). Avaliação em língua materna e matemática do 1.º ciclo do ensino básico: Critérios referidos e utilizados por professores e percepcionados por alunos com sucesso e insucesso escolar. Análise Psicológica, 9 (3-4), 453-466. http://repositorio.ispa.pt/bitstream/10400.12/5213/1/AP-1991_34_453.pdf
Amigues R. y Guignard-Andreucci, C. (1981). A propos d’une recherche sur l’évaluation formative en situation éducative: prise en compte et modifications des donnés de la situation. Bulletin de Psychologie, (353), 167-172.
Barbosa, J. y Alaíz, V. (1994). Explicitação de critérios - exigência fundamental de uma avaliação ao serviço da aprendizagem. En Pensar a avaliação, melhorar a aprendizagem (pp. 1-5). Instituto de Inovação Educacional. http://docplayer.com.br/19644130-Explicitacao-de-criterios-exigencia-fundamental-de-uma-avaliacao-ao-servico-da-aprendizagem.html
Black, P. y Wiliam, D. (1998). Assessment and classroom learning. Assessment in Education: Principles, Policy & Practice, 5(1), 7-73. https://doi.org/10.1080/0969595980050102
Black, P. y Wiliam, D. (2009). Developing the theory of formative assessment. Educational Assessment, Evaluation and Accountability, 21(1), 5-31. https://doi.org/10.1007/s11092-008-9068-5
Bonniol, J. J. (1986). Recherches et formations: Pour une problématique de l’évaluation formative. En J.-M. De Ketele (Ed), L’évaluation: Approche descriptive ou prescriptive? (pp. 119-133). De Boeck.
Clark, I. (2012). Formative assessment: Assessment is for self-regulated learning. Educational Psychology Review, 24(2), 205-249. https://doi.org/10.1007/s10648-011-9191-6
Coll, C., Barberà, E. y Onrubia, J. (2000). La atención a la diversidad en las prácticas de evaluación. Infancia y Aprendizaje, 23(90), 111-132 https://doi.org/10.1174/021037000760087991
De Ory Azcárate, M. y Ruiz Suárez, V. M. (2011). La evaluación en el aula de primaria. Factor clave para el aprendizaje de las ciencias y las matemáticas. Revista Eureka sobre Enseñanza y Divulgación de las Ciencias 8(2), 212-220. https://doi.org/10.25267/Rev_Eureka_ensen_divulg_cienc.2011.v8.i2.08
Hadji, C. (2001). Avaliação desmistificada. Artmed Editora.
Jaccard, P. (1901). Distribution de la flore alpine dans le bassin des Dranses et dans quelques régions voisines. Bulletin de la Société Vaudoise des Sciences Naturelles, 37(140), 241-272. https://www.researchgate.net/publication/243457811_Distribution_de_la_Flore_Alpine_dans_le_Bassin_des_Dranses_et_dans_quelques_regions_voisines
Kintsch, W. y Greeno, J. (1985). Understanding and solving word arithrmetic problem. Psychological Rewiev, 92(1), 109-129. https://doi.org/10.1037/0033-295X.92.1.109
Melo, M. y Veiga, F. H. (2013). Aprendizagem: Perspetivas socioconstructivistas. En F. H. Veiga, (Coord.), Psicologia da educação: Teoria, investigação e aplicação: Envolvimento dos alunos na escola (pp. 263-296). Climepsi.
Montanero, M. (2019). 4 criterios e instrumentos de evaluación. En M. Montanero (Autor), Didáctica general. Planificación y práctica de la enseñanza primaria (pp. 64-94). Servicio de publicaciones de la UEx. http://dehesa.unex.es/bitstream/10662/9225/1/978-84-09-07197-5.pdf
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Autor.
Noizet, G. y Caverni, J.-P. (1985). Psicologia da avaliação escolar. Coimbra.
Nunes, C. (1990). Avaliação de textos escritos: Critérios referidos e utilizados pelos professores e a sua percepção por alunos com diferente estatuto escolar [Tesis de maestría, Instituto Superior de Psicologia Aplicada]. https://repositorio.ispa.pt/handle/10400.12/736
Onrubia, J. y Lago, J.-R (2008). Asesoramiento psicopedagógico y mejora de las prácticas de evaluación. Infancia y Aprendizaje, 31(3), 363-383. https://doi.org/10.1174/021037008785702929
Organization for Economic Coopeation and Development. (2013). PISA 2012 assessment and analytical framework. Mathematics, reading, science, problem solving and financial literacy. Autor. https://doi.org/10.1787/9789264190511-en
Pacheco, J. A. (2002). Critérios de avaliação na escola. En Ministério da Educação (Ed.), Avaliação das aprendizagens: das concepções às práticas (pp. 53-64). Departamento da Educação Básica.
Pinto, J. y Santos, L. (2006). Modelos de avaliação das aprendizagens. Universidade Aberta.
Riggan, M. y Nabors Oláh, L. (2011). Locating interim assessments within teachers’ assessment practice. Educational Assessment, 16(1), 1-14. https://doi.org/10.1080/10627197.2011.551085
Rosales, J., Vicente, S., Chamoso, J. M., Muñez, D. y Orrantia, J. (2012). Teacher-estudent interaction in joint word problem solving. The role of situational and mathematical knowledge in mainstream classrooms. Teaching and
Teacher Education, 28(8), 1185-1195. https://doi.org/10.1016/j.tate.2012.07.007
Sanmartí, N. (2007). 10 ideas clave: Evaluar para aprender. Graó.
Struyven, K., Dochy, F. y Janessens, S. (2005). Students’ perceptions about evaluation and assessment in higher education: a review. Assessment & Evaluation in Higher Education, 30(4), 325-341. https://doi.org/10.1080/02602930500099102
Suurtamm, C., Koch, M. y Arden, A. (2010). Teachers’ assessment practices in mathematics: Classrooms in the context of reform. Assessment in Education: Principles, Policy & Practice, 17(4), 399-417. https://doi.org/10.1080/0969594X.2010.497469
Teledahl, A. (2015). Different modes in teachers’ discussions of students’ mathematical texts. Teaching and Teacher Education, 51, 68-76. https://doi.org/10.1016/j.tate.2015.06.002
Turner, R., Blum, W. y Niss, M. (2015). Using competencies to explain mathematical item demand: Awork in progress. En K. Stacey y R. Turner (Eds.), Assessing mathematical literacy: The PISA experience (pp. 85-115). Springer. https://doi.org/10.1007/978-3-319-10121-7_4
Veldhuis, M., van den Heuvel-Panhuizen, M., Vermeulen J. A. y Eggen, T. J. H. M. (2013). Teachers’ use of classroom assessment in primary school mathematics education in the Netherlands. Cadmo, 21(2), 35-53. https://www.researchgate.net/publication/260095083_Teachers%27_Use_of_Classroom_Assessment_in_Primary_School_Mathematics_Education_in_the_Netherlands
Selter, C. Verschaffel, L., Greer, B. y de Corte, E. (2000). Making sense of word problems. Educational Studies in Mathematics, 42(2), 211–213. https://doi.org/10.1023/A:1004190927303
Downloads
Published
How to Cite
Issue
Section
License
1. In case the submitted paper is accepted for publication, the author(s) FREELY, COSTLESS, EXCLUSIVELY AND FOR AN INDEFINITE TERM transfer copyrights and patrimonial rights to Universidad Nacional (UNA, Costa Rica). For more details check the Originality Statement and Copyright Transfer Agreement
2. REUTILIZATION RIGHTS: UNA authorizes authors to use, for any purpose (among them selfarchiving or autoarchiving) and to publish in the Internet in any electronic site, the paper´'s final version, both approved and published (post print), as long as it is done with a non commercial purpose, does not generate derivates without previous consentment and recognizes both publisher's name and authorship.
3. The submission and possible publication of the paper in the Educare Electronic Journal is ruled by the Journal’s editorial policies, the institutional rules of Universidad Nacional and the laws of the Republic of Costa Rica. Additionally, any possible difference of opinion or future dispute shall be settled in accordance with the mechanisms of Alternative Dispute Resolution and the Costa Rican Jurisdiction.
4. In all cases, it is understood that the opinions issued are those of the authors and do not necessarily reflect the position and opinion of Educare, CIDE or Universidad Nacional, Costa Rica. It is also understood that, in the exercise of academic freedom, the authors have carried out a rogorous scientific-academic process of research, reflection and argumentation thar lays within the thematic scope of interest of the Journal.
5. The papers published by Educare Electronic Journal use a Creative Commons License: