Instructional Styles in the Teaching
of Mathematics Thematically
Boris
Handal
Janette
Bobis
The University of Sydney
The University of Sydney
borishandal@optusnet.com.au j.
bobis@edfac.usyd.edu.au
ABSTRACT
This study explored different instructional styles in regard to the teaching of mathematics
thematically. A hundred and twenty-two teachers were surveyed using a questionnaire and ten secondary
mathematics teachers from New South Wales, Australia, were interviewed. The findings reveal that, in
general, teachers opt for instructional styles that use applications of mathematics as a justification to teach
in themes rather than using the theme as the context that should overarch the development of the lesson. It
was also found that teachers shift among different teaching styles depending on the classroom context and
opt for teaching mathematics via topics rather than in themes.
INTRODUCTION
In teaching and learning mathematics thematically, instruction is organised around
thematic units or projects.
Generally speaking, a thematic unit is a collection of learning
experiences that assist students to relate their learning to an important question (Freeman
& Sokoloff, 1996). Themes are the organisers of the mathematical curriculum, and
concepts, skills and strategies are taught around a central theme
that is intended to give
meaning and direction to the learning process (Freeman & Sokoloff, 1995; Perfetti &
Goldman, 1975).
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The rationale for teaching mathematics thematically addresses situated–learning and
constructivist concerns that the teaching of mathematics occurs within a context that is
more meaningful to students than traditional mathematical instruction.
It can be
considered as a response to the need to humanise school mathematics (Clements, 1987).
Its origins can be traced to Dewey’s (1938) progressive ideas
on curriculum integration
and to Bruner’s (1960) thoughts on the centrality and repetition of knowledge through the
enactment of a spiral curriculum. The teaching of mathematics thematically is considered
as belonging to the realm of situated learning because the content is embedded in themes
that in turn serve as learning contexts (Henderson & Landesman, 1995).
Situated learning
is primarily concerned with the need to contextualise instruction since, by definition, all
learning is situated. Learning is seen not as a matter of ingesting pre-existent knowledge
but as a way of developing knowledge in meaningful and
practice-bounded contexts
(Putnam & Borko, 2000; Streibel, 1995). In turn, this situated perspective is associated
with constructivist ideas of teaching and learning mathematics due to their shared interest
for building mathematical knowledge within those contexts (Anderson Reder & Simon,
1996; Murphy, 1997). The thematic approach is also
directly associated with
constructivist ideas since it provides an environment where knowledge can be
individually and socially
constructed
(Freeman & Sokoloff, 1995; Good & Brophy, 1994;
Seely, 1995)
.
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