University Teachers’ Resources Systems and Documents

Mathematics teachers interact with resources of various kinds in their work in and out of class. The documentational approach of didactics is a theoretical approach that has been elaborated to investigate these interactions and their consequences in terms of teachers’ practice and teachers’ beliefs in particular. According to this approach, using resources teachers develop documents, encompassing these resources and a scheme of use; they also develop structured documents systems and resources systems. I interviewed six university teachers in France and collected the resources they used and designed. Drawing on these data I analyzed their documents and their resources systems, focusing on the features of resources use that appear specific to the university (rather than secondary school) context. I observed that lecturers can develop important agency in the design and use of teaching resources. On the other hand, PhD students starting to teach seem to conform their teaching to ready-made resources; nevertheless, their personal resources and beliefs intervened in their documentation work. Resources and beliefs deriving from the lecturers’ research can also influence the development of documents and thus contribute to shaping the mathematics taught.

[1]  Barbara Jaworski,et al.  A Spectrum of Pedagogical Awareness for Undergraduate Mathematics: From "Tricks" to "Techniques" , 2005 .

[2]  Some issues about the introduction of first concepts in linear algebra during tutorial sessions at the beginning of university , 2014 .

[3]  Chantal Buteau,et al.  Instrumental and documentational approaches: from technology use to documentation systems in university mathematics education , 2014 .

[4]  A. Gagatsis,et al.  Geometric and algebraic approaches in the concept of complex numbers , 2006 .

[5]  Irene Biza,et al.  Communities in university mathematics , 2014 .

[6]  C. Winsløw.  Mathematics at University: The Anthropological Approach , 2015 .

[7]  Stephanie Treffert-Thomas,et al.  Characterising the teaching of university mathematics: a case of linear algebra , 2009 .

[8]  Luc Trouche,et al.  From Text to 'Lived' Resources: Mathematics Curriculum Materials and Teacher Development , 2011 .

[9]  Michel Crouzeix,et al.  Exercices d'analyse numérique des équations différentielles , 1993 .

[10]  G. Gueudet,et al.  Towards new documentation systems for mathematics teachers? , 2009 .

[11]  Jill Adler,et al.  Conceptualising Resources as a Theme for Teacher Education , 2000 .

[12]  M. Crouzeix,et al.  Analyse Numérique des équations Différentielles , 1987 .

[13]  Ghislaine Gueudet,et al.  Teaching mathematics with technology at kindergarten: resources and orchestrations , 2014 .

[14]  Kenneth Ruthven.  Towards a Naturalistic Conceptualisation of Technology Integration in Classroom Practice: the example of school mathematics , 2009 .

[15]  Vilma Mesa,et al.  Textbook mediation of teaching: an example from tertiary mathematics instructors , 2012 .

[16]  Michal Yerushalmy,et al.  E-textbooks in/for teaching and learning mathematics : a disruptive and potentially transformative educational technology , 2015 .

[17]  Sebastian Rezat,et al.  THE UTILIZATION OF MATHEMATICS TEXTBOOKS AS INSTRUMENTS FOR LEARNING , 2010 .

[18]  G. Vergnaud,et al.  Towards a Cognitive Theory of Practice , 1998 .

[19]  O. Bretscher.  Linear Algebra with Applications , 1996 .

[20]  Beu Birgit Pepin,et al.  Collective work with resources: an essential dimension for teacher documentation , 2013 .

[21]  A. N. Leont’ev,et al.  Activity, consciousness, and personality , 1978 .

[22]  Y. Engeström.  Expansive learning at work: Toward an activity theoretical reconceptualization. , 2001 .

[23]  Guy Brousseau,et al.  Theory of Didactical Situations in Mathematics: Didactique des Mathématiques, 1970-1990 , 2014 .