Investigating and promoting teachers’ expertise for language-responsive mathematics teaching

In spite of the widely accepted need for language-responsive subject-matter teaching, few teachers are prepared for this challenge due to the lack of empirically founded subject-specific professional development (PD) programs for language-responsive classrooms. The design research study presented in this article pursues the dual aim of (a) promoting teachers’ expertise in language-responsive mathematics teaching using PD courses and (b) investigating teachers’ developing expertise in qualitative case studies. Both aims are pursued based on a conceptual framework for teacher expertise in language-responsive mathematics teaching, starting from typical situational demands that teachers face in language-responsive mathematics teaching and the orientations, categories, and pedagogical tools they need to cope with these situational demands, especially the demand to identify mathematically relevant language demands. For language-responsive teaching, the interplay of categories for mathematical goals and language goals turns out to be of high relevance.

[1]  Philip Clarkson,et al.  Language Factors in Mathematics Teaching and Learning , 1996 .

[2]  Susanne Prediger,et al.  Language Proficiency and Mathematics Achievement , 2018 .

[3]  H. Doerr,et al.  Mathematics teachers’ learning: a conceptual framework and synthesis of research , 2014 .

[4]  Rainer Bromme,et al.  Der Lehrer als Experte , 2014 .

[5]  Franz Emanuel Weinert,et al.  Concept of competence: A conceptual clarification , 2001 .

[6]  Susan B. Empson,et al.  Learning to Listen to Children’s Mathematics , 2008 .

[7]  Pauline Gibbons,et al.  Scaffolding language, scaffolding learning : teaching second language learners in the mainstream classroom , 2002 .

[8]  Núria Planas,et al.  Research frameworks for the study of language in mathematics education , 2018, ZDM.

[9]  Anthony Ralston,et al.  Knowing and teaching elementary mathematics , 1999 .

[10]  Edward G. Lyon What about language while equitably assessing science?: Case studies of preservice teachers' evolving expertise , 2013 .

[11]  Anthony Fernandes,et al.  Regarding the Mathematics Education of English Learners: Clustering the Conceptions of Preservice Teachers , 2012, Journal of Urban Mathematics Education.

[12]  Núria Planas,et al.  Language Diversity in Mathematics Teacher Education: Challenges Across Three Countries , 2016 .

[13]  Philipp Mayring,et al.  Qualitative Content Analysis: Theoretical Background and Procedures , 2015 .

[14]  Tony Trinick,et al.  Collaborating to Meet Language Challenges in Indigenous Mathematics Classrooms , 2011 .

[15]  Phil Vahey,et al.  Mathematics teaching practices with technology that support conceptual understanding for Latino/a students , 2012 .

[16]  George C. Bunch Pedagogical Language Knowledge , 2013 .

[17]  H.A.A. van Eerde,et al.  A teacher’s learning process in dual design research: learning to scaffold language in a multilingual mathematics classroom , 2011 .

[18]  D. Byrnes,et al.  Teachers’ attitudes about language diversity , 1997 .

[19]  J. L. Austin,et al.  Language and mathematical education , 1979 .

[20]  Catherine E. Snow,et al.  The Challenge of Academic Language , 2009 .

[21]  Mary J. Schleppegrell,et al.  The Linguistic Challenges of Mathematics Teaching and Learning: A Research Review , 2007 .

[22]  J. Gustafsson,et al.  Beyond dichotomies: Competence viewed as a continuum , 2015 .

[23]  Judit N. Moschkovich,et al.  A Situated and Sociocultural Perspective on Bilingual Mathematics Learners , 2002 .

[24]  A. Bakker,et al.  Using genre pedagogy to promote student proficiency in the language required for interpreting line graphs , 2016 .

[25]  Roger Howe,et al.  Knowing and Teaching Elementary Mathematics@@@Knowing and Teaching Elementary Mathematics: Teachers' Understanding of Fundamental Mathematics in China and the United States , 1999 .

[26]  Deborah J. Short,et al.  How to Integrate Content and Language Learning Effectively for English Language Learners , 2017 .

[27]  L. Verschaffel,et al.  Pedagogical content knowledge: A systematic review of the way in which the concept has pervaded mathematics educational research , 2013 .

[28]  Judit Moschkovich Principles and Guidelines for Equitable Mathematics Teaching Practices and Materials for English Language Learners , 2013, Journal of Urban Mathematics Education.

[29]  Dilemmas and a Paradox--Secondary Mathematics Teachers' Knowledge of Their Teaching in Multilingual Classrooms. , 1995 .

[30]  G. Vergnaud,et al.  The Theory of Conceptual Fields , 2009, Human Development.

[31]  Walter G. Secada Race, ethnicity, social class, language, and achievement in mathematics. , 1992 .

[32]  Eva Norén,et al.  Teachers' knowledge about language in mathematics professional development courses : From an intended curriculum to a curriculum in action , 2017 .

[33]  L. Schauble,et al.  Design Experiments in Educational Research , 2003 .

[34]  Sheila W. Valencia,et al.  Appropriating Tools for Teaching English: A Theoretical Framework for Research on Learning to Teach , 1999, American Journal of Education.

[35]  M. Hajer Inspiring teachers to work with content-based language instruction stages in professional development. , 2006 .

[36]  Alan H. Schoenfeld,et al.  How We Think : A Theory of Goal-Oriented Decision Making and its Educational Applications , 2010 .

[37]  L. Shulman Those Who Understand: Knowledge Growth in Teaching , 1986 .

[38]  S. Krauss,et al.  Cognitive Activation in the Mathematics Classroom and Professional Competence of Teachers , 2013 .

[39]  Susanne Prediger,et al.  School Academic Language Demands for Understanding Functional Relationships: A Design Research Project on the Role of Language in Reading and Learning , 2017 .

[40]  Hans Anand Pant,et al.  Second language learners' performance in mathematics: Disentangling the effects of academic language features , 2013 .

[41]  A. Collins,et al.  Situated Cognition and the Culture of Learning , 1989 .

[42]  Tamara Lucas,et al.  Preparing Linguistically Responsive Teachers: Laying the Foundation in Preservice Teacher Education , 2013 .

[43]  Helen Timperley,et al.  Teacher professional learning and development: Best evidence synthesis iteration , 2007 .

[44]  D. Pimm,et al.  Speaking Mathematically: Communication in Mathematics Classrooms , 1987 .