I need some literature anout pronkens encountered in teaching mathematics. It might be in elementary, secondary or college level. Thanks.
Do you mean mathematical misunderstandings? There is an excellent paper by Matz on high school algebra errors in a book by Sleeman. It is a bit old now but still relevant. You could use it to do a forward search on Google Scholar using the Cited by link.
Reference: Little, M. E. (2009). Teaching Mathematics: Issues and Solutions. Teaching Exceptional Children Plus, 6(1), n1.
Mary E. Little (2009) in this article has discussed in detail, the issues and solutions in mathematics teachings with students having learning, disabilities and not having learning disabilities (sometimes in mathematics learning, all students with adequate intellect and cognitive powers, behave as they have learning disabilities; it is opinion from my personal experience ,and I might be wrong). I hope it will help.
Note: the words in inverted commas are not mine; I have provided reference above.
"Current legislation, reforms and revised curriculum standards in mathematics focus attention on research-based instruction for all students. Difficulties with learning mathematics occur in one or more domains and on a continuum of needs, from temporary to severe problems, which may manifest at different points in a child’s learning. Multiple instructional approaches and interventions may be necessary, since difficulties may be encountered at different ages and in different mathematical domains. Various research based instructional approaches and meta cognitive strategies both enhance and scaffold instruction for student mastery of abstract concepts (National Math Advisory Panel, 2008), especially within inclusive math classes (McLeskey, Hoppey, Williamson and Rentz, 2004; Miller and Hudson, 2007)".
Reference:Koirala, H. P. (1991). A Comparison of Problems Faced by Mathematics Teacher-Educators in Developing and Developed Countries-A Case Study of Nepal and England. Tribhuvan University Journal, 14, 15-25.
Machaba, M. M. (2013). Teacher challenges in the teaching of mathematics at foundation phase (Doctoral dissertation).
pdf avaliable to read for the references, I have provided.
Cockburn & Littler (2008) mathematical misconceptions
Chinn (2004) the trouble with maths
Dehaene (1997) the number sense
Mason & Johnston-Wilder (2004) Fundamental Constructs in mathematics education
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