Learning to Solve Equations in Three Swedish-Speaking Classrooms in Finland

In this chapter, video recorded episodes occurring in three Swedish-speaking Grade 6 classrooms in Finland constitute the empirical material. The focus of the instruction is the introduction of basic principles of equation solving. The analysis focuses on the classroom interactions, and the role of the textbooks in co-determining the structure of the lessons and the challenges students encounter. Through interviews with teachers on how they account for their approaches to equation solving, it is possible to discern different emphases on how to teach equation solving procedures.

[1]  T. P. Carpenter,et al.  Children’s Understanding of Equality: A Foundation for Algebra: Teaching Children Mathematics , 1999 .

[2]  Carolyn Kieran.  Concepts associated with the equality symbol , 1981 .

[3]  T. P. Carpenter,et al.  Children's Understanding of Equality: A Foundation for Algebra , 1999 .

[4]  Kaye Stacey,et al.  Learning the Algebraic Method of Solving Problems , 1999 .

[5]  Liora Linchevski,et al.  A cognitive gap between arithmetic and algebra , 1994 .

[6]  Joëlle Vlassis.  The balance model: Hindrance or support for the solving of linear equations with one unknown , 2002 .

[7]  Analúcia D. Schliemann,et al.  Bringing Out the Algebraic Character of Arithmetic : From Children's Ideas To Classroom Practice , 2006 .

[8]  B. Rittle-Johnson,et al.  Compared With What? The Effects of Different Comparisons on Conceptual Knowledge and Procedural Flexibility for Equation Solving , 2009 .

[9]  B. Rittle-Johnson,et al.  Developing Conceptual Understanding and Procedural Skill in Mathematics: An Iterative Process. , 2001 .

[10]  Bárbara M. Brizuela,et al.  Bringing out the Algebraic Character of Arithmetic: From Children's Ideas to Classroom Practice [with CD-ROM]. , 2007 .

[11]  Martha W. Alibali,et al.  Does Understanding the Equal Sign Matter? Evidence from Solving Equations , 2006 .

[12]  L. Black,et al.  Mathematical relationships in education: identities and participation , 2009 .

[13]  N. Balacheff.  Symbolic Arithmetic vs Algebra the Core of a Didactical Dilemma , 2001 .

[14]  David W. Carraher,et al.  Arithmetic and Algebra in Early Mathematics Education , 2006 .

[15]  Martha W. Alibali,et al.  Middle School Students’ Understanding of Core Algebraic Concepts: Equivalence & Variable , 2005 .

[16]  J. Hiebert.  Conceptual and procedural knowledge : the case of mathematics , 1987 .