The Teacher, The Tasks: Their Role in Students? Mathematical Literacy

This paper reports on part of a larger study and examines the changing nature of mathematics teaching and tasks. Two Year 4 classes were compared after mathematicalmodelling tasks were undertaken with and without top-level structuring. The results indicate that mathematical-modelling and top-level structuring tasks can advance mathematical literacy. Where students are guided through information organisation and mathematising through quality teaching, they can make sense of the mathematical world. Also evident was the vital role of the teacher in creating a positive learning environment through facilitating discourse and literacy development in mathematics students. Recommendations for teaching are given. Indications evidenced here warrant further investigation.

[1]  Alan H. Schoenfeld.  A highly interactive discourse structure , 2002 .

[2]  Brendan John Bartlett,et al.  Valuing the Situation: A Referential Outcome for Top-level Structurers , 2003 .

[3]  Katherine M. Doyle.  Organisational Structure for Mathematical Modelling , 2006 .

[4]  Sasha A. Barab,et al.  Constructing Networks of Action-Relevant Episodes: An In Situ Research Methodology , 2001 .

[5]  Guershon Harel,et al.  Advanced Mathematical-Thinking at Any Age: Its Nature and Its Development , 2005 .

[6]  Kenneth Tobin,et al.  Interpretive Research in Science Education , 2000 .

[7]  Janet Bowers,et al.  A Contextual Investigation of Three-Digit Addition and Subtraction. , 1998 .

[8]  Magdalene Lampert,et al.  Talking Mathematics in School: Studies of Teaching and Learning , 1998 .

[9]  Lyndall English.  Mathematical Modelling in the Primary School , 2004 .

[10]  A. Su,et al.  The National Council of Teachers of Mathematics , 1932, The Mathematical Gazette.

[11]  Brenda Bannan-Ritland,et al.  The Role of Design in Research: The Integrative Learning Design Framework , 2003 .

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

[13]  P. Alexander,et al.  Coming to Terms: How Researchers in Learning and Literacy Talk About Knowledge , 1991 .

[14]  H. Simon,et al.  Perspectives on Learning, Thinking, and Activity , 2000 .

[15]  Richard Lesh,et al.  Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching , 2003 .

[16]  Thomas C. DeFranco,et al.  Philosophy's Role in Characterizing the Nature of Educational Psychology and Mathematics , 2003, Rediscovering the Philosophical Roots of Educational Psychology.