Ir al contenido

Documat


Marking the exam paper - explicitness and communication of knowledge criteria in first year undergraduate mathematics education

  • Autores: Hoda Ashjari
  • Localización: Recherches en didactique des mathématiques, ISSN 0246-9367, Vol. 38, Nº 3, 2018, págs. 365-408
  • Idioma: inglés
  • Títulos paralelos:
    • L’évaluation notée lors d’un examen — explicitation et communication de critères en première année d’université
    • La calificación de exámenes — explicitación y comunicación de criterios de conocimiento en un primer curso universitario de matemáticas
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • español

      El interés general de este artículo radica en la transición de la enseñanza de las matemáticas de secundaria a la universidad, con especial atención en la manera cómo los profesores universitarios explicitan y acuerdan la evaluación de problemas de examen de matemáticas y cómo facilitan el acceso de los alumnos a los criterios de evaluación. Se han recogido datos empíricos a partir de una entrevista tipo focus group con ocho profesores de matemáticas, incluyendo una discusión sobre la manera de evaluar los problemas de examen en un grado de ingeniería.

      Los datos de la entrevista se han analizado e interpretado a partir de conceptos clave de la teoría antropológica de lo didáctico y de la Sociología de la educación de Basil Bernstein. Se han identificado tres criterios principales de evaluación, relacionados con el rigor, la construcción del enunciado y la evaluación holística. Los criterios presentan Cierto grado de explicitación y consistencia, pero solo se comunicaron parcialmente a los estudiantes. Se derivan de los resultados algunas implicaciones para el problema de la transición entre secundaria y la universidad.

    • English

      The overall interest in this paper concerns the transition from school to university mathematics education, with a specific focus on the extent to which lecturers are explicit and agree on how they assess first year undergraduate mathematics exam tasks and how they support students’ access to the assessment criteria. Empirical data from a focus group interview, including a discussion of how they assessed calculus exam tasks within an engineering programme, was conducted with eight mathematics lecturers at a major Swedish university. The interview data were analysed and interpreted drawing on key concepts from the anthropological theory of the didactic and Basil Bernstein’s sociology of education. Three main assessment criteria were identified, related to rigour, the construction of the exam paper, and holistic assessment. These were explicit and consistent to various degrees but only partially communicated to the students. Implications of the results for the transition problem are discussed.

    • français

      Cet article traite de la transition entre le secondaire et le supérieur et s’intéresse plus particulièrement at l’explicitation des enseignants a l’université quant aux évaluations qu’ils font auprès d’étudiants de première année, en mathématiques, ainsi qu’a leur façon d’harmoniser leur évaluation des tâches d’un examen et de la transmettre aux étudiants. L’étude s’appuie sur des données empiriques issues d’ interviews conduites auprès de huit enseignants en mathématiques d’une grande université suédoise. Les discussions analysées concernent la manière d’évaluer les taches d’un examen en analyse au sein d’un cursus d’ingénieurs. L’ensemble des données des entretiens a été analysé a partir de concepts issus de la théorie anthropologique du didactique et de la sociologie de l’éducation de Basil Bernstein. Trois critères d’évaluation ont été identifiés, liés a la rigueur, a la construction de l’examen et a l’évaluation globale. Ces critères, explicites et cohérents at différents niveaux, n’étaient que partiellement communiqués aux étudiants. Les implications de cette recherche pour la question de la transition sont discutées.

  • Referencias bibliográficas
    • ASHJARI, H. (2013, April). Tendencies in engineering students’ assertions about exam tasks. Paper presented at The IVth International Congress...
    • ASHJARI, H. (in preparation). Recognising assessment criteria in undergraduate mathematics education: A student perspective.
    • BARBÉ, J., BOSCH, M., ESPINOZA, L. & GASCON, J. (2005). Didactical restrictions on the teacher’s practice: the case of limits of functions...
    • BECEVIC, S. (2011). Klassrumsbedömning i matematik på gymnasieskolans nivå [Classroom assessment in mathematics at secondary school level]...
    • BERGQVIST, E. (2007). Types of reasoning required in university exams in mathematics. The Journal of Mathematical Behavior, 26(4), 348-370.
    • BERGQVIST, E. (2012). University mathematics teachers’ views on the required reasoning in calculus exams. The Mathematics Enthusiast, 9(3),...
    • BERGSTEN, C., & JABLONKA, E. (2013). Mathematics as "Meta-Technology" and "Mind-Power": Views of engineering students....
    • BERGSTEN, C., & JABLONKA, E. (2015). The construction of the ’transition problem’ by a group of mathematics lecturers. In K. Krainer &...
    • BERGSTEN, C., JABLONKA, E., & ASHJARI, H. (2015). Övergången från skolans till högskolans matematik: En integrerad studie av en kulturkrock...
    • BERNSTEIN, B. (1971). On the classification and framing of educational knowledge. In M. F. D. Young (Ed.), Knowledge and control: New directions...
    • BERNSTEIN, B. (2000). Pedagogy, symbolic control and identity. Theory, research and critique. Revised edition. Oxford: Rowman & Littlefield.
    • BOSCH, M., & GASCÓN, J. (2006). 25 years of the didactic transposition. Bulletin of the International Commission on Mathematical Instruction,...
    • BRANDELL, G., HEMMI, K., & THUNBERG, H. (2008). The widening gap -a Swedish perspective. Mathematics Education Research Journal, 20(2),...
    • BRAUN, V. & CLARKE, V. (2006). Using thematic analysis in psychology. Qualitative Research in Psychology, 3(2), 77-101.
    • CASTELA, C. (2004). Institutions influencing mathematics students' private work: A factor of academic achievement. Educational Studies...
    • CHEVALLARD, Y. (1999). L’analyse des pratiques enseignantes en théorie anthropologique du didactique. Recherches en Didactique des Mathématiques,...
    • DE GUZMAN, M., HODGSON, B., ROBERT, A., & VILLANI, V. (1998). Difficulties in the passage from secondary to tertiary education. Documenta...
    • EMENAKER, C. E. (1999). Assessing Modelling Projects in calculus and precalculus: two approaches. In B. Gold, S. Z. Keith, & W. A. Marion...
    • EMERT, J. W., & PARISH, C. R. (1999). Undergraduate core assessment in the mathematical sciences. In B. Gold, S. Z. Keith, & W. A....
    • ERNEST, P. (2008). Opening the mathematics text: What does it say? In E. de Freitas & K. Nolan (Eds.), Opening the research text: Critical...
    • EWELL, P. (2006). Assessing assessment: The SAUM evaluator’s perspective. In L. A. Steen (Ed.), Supporting assessment in undergraduate mathematics...
    • GELLERT, U. (2010). Modalities of a local integration of theories in mathematics education. In B. Sriraman & L. English (Eds.), Theories...
    • GELLERT, U., BARBÉ, J., & ESPINOZA, L. (2013). Towards a local integration of theories: Codes and praxeologies in the case of computerbased...
    • GOLD, B., KEITH, S. Z., & MARION, W. A. (Eds.). (1999). Assessment practices in undergraduate mathematics. MAA Notes, Vol. 49. Washington,...
    • GUEUDET, G. (2008). Investigating the secondary-tertiary transition. Educational Studies in Mathematics, 67, 237–254.
    • HARRIS, D., BLACK, L., HERNANDEZ-MARTINEZ, P., PEPIN, B., WILLIAMS, J., & THE TRNASMATHS TEAM (2015). Mathematics and its value for engineering...
    • HEMMI, K. (2010). Three styles characterising mathematicians’ pedagogical perspectives on proof. Educational Studies in Mathematics, 75, 271-291.
    • IANNONE, P., & SIMPSON, A. (Eds.). (2012). Mapping university mathematics assessment practices. University of East Anglia.
    • IANNONE, P., & SIMPSON, A. (2013). Students’ perceptions of assessment in undergraduate mathematics. Research in Mathematics Education,...
    • IANNONE, P., & SIMPSON, A. (2015). Mathematics lecturers’ views of examinations: tensions and possible resolutions. Teaching Mathematics...
    • ICMI (1997). ICMI Study: On the teaching and learning of mathematics at university level. Discussion document. ICMI Bulletin, No. 43 (Dec1997)....
    • JABLONKA, E., ASHJARI, H., & BERGSTEN, C. (2017). "Much palaver about greater than zero": First year engineering students'...
    • LAI, Y., & WEBER, K. (2014). Factors mathematicians profess to consider when presenting pedagogical proofs. Educational Studies in Mathematics,...
    • LITHNER. J. (2004). Mathematical reasoning in calculus textbook exercises. Journal of Mathematical Behavior, 23(4), 405-427.
    • MADISON, B. L. (2006). Tensons and tethers: Assessing learning in undergraduate mathematics. In L. A. Steen (Ed.), Supporting assessment in...
    • MEJIA-RAMOS, J. P., & INGLIS, M. (2009). What are the argumentative activities associated with proof? Research in Mathematics Education,...
    • MOORE, R. C. (2016). Mathematics professors’ evaluation of students’ proofs: A complex teaching practice. International Journal of Research...
    • MORGAN, D. L. (1997). Focus groups as qualitative research. Newbury Park: Sage.
    • NCTM (1995). Assessment standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.
    • PALM, T., BOESEN, J., & LITHNER, J. (2011). Mathematical reasoning requirements in Swedish upper secondary level assessments. Mathematical...
    • RAMAN, M. (2002). Coordinating informal and formal aspects of mathematics: student behavior and textbook messages. The Journal of Mathematical...
    • REDDY, Y. M., & ANDRADE, H. (2010). A review of rubric use in higher education. Assessment & Evaluation in Higher Education, 35(4),...
    • ROBERT, A. (1998). Outils d’analyse des contenus mathématiques à enseigner au lycée et à l’université. Recherches en Didactique des Mathématiques,...
    • SKOLVERKET (n.d.). Bedömning av nationella prov inom gymnasial utbildning. Kurs 2b och 2c [Marking national tests in upper secondary education....
    • STEEN, L. A. (2006). Asking the right questions. In L. A. Steen (Ed.), Supporting assessment in undergraduate mathematics (pp. 11-18). Washington,...
    • SWAN, M., & BURKHARDT, H. (2012). A designer speaks. Educational Designer, 2(5). Retrieved from: http://www.educationaldesigner.org/ed/volume2/issue5/
    • THOMAS, M. O. J., & KLYMCHUK, S. (2012). The school–tertiary interface in mathematics: teaching style and assessment practice. Mathematics...
    • UNESCO (1966). Report on the conference “Mathematics at the comingto university: real situation and desirable situation”. In New trends inMathematics...
    • WINSLØW, C., BARQUERO, B., DE VLEESCHOUWER, M. & HARDY, N. (2014). An institutional approach to university mathematics education: from...

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno