Two developments have contributed to the convergence of views about the
benefits of real-life and inquiry-based pedagogies in mathematics learning.First, the mathematics
teaching community is increasingly focused on the learning of mathematics that
involves the transfer of prior knowledge to novel problem-solving situations, a key element
in recent characterizations of the notion of Numeracy. Second, research about human cognition
in domain-specific learning suggests that problem-solving activity provides better
contexts in which to observe the construction of creative connections of disparate information.
The question is how can we examine the above cognitive processes, as these are played
out in Numeracy contexts? (Tan, Educ Res Policy Pract 6:101–114, 2007) identified dialogue
and inquiry as important themes of the psychology that girds problem-based learning.
In this report, we take up Tan’s suggestion that research needs to make learner’s cognition
more visible by immersing a cohort of Malaysian and Australian students in arithmetic word
problems. Students were required to explain and justify their solutions.
Two developments have contributed to the convergence of views about the
benefits of real-life and inquiry-based pedagogies in mathematics learning.First, the mathematics
teaching community is increasingly focused on the learning of mathematics that
involves the transfer of prior knowledge to novel problem-solving situations, a key element
in recent characterizations of the notion of Numeracy. Second, research about human cognition
in domain-specific learning suggests that problem-solving activity provides better
contexts in which to observe the construction of creative connections of disparate information.
The question is how can we examine the above cognitive processes, as these are played
out in Numeracy contexts? (Tan, Educ Res Policy Pract 6:101–114, 2007) identified dialogue
and inquiry as important themes of the psychology that girds problem-based learning.
In this report, we take up Tan’s suggestion that research needs to make learner’s cognition
more visible by immersing a cohort of Malaysian and Australian students in arithmetic word
problems. Students were required to explain and justify their solutions.
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