International Journal of Mathematical Education in Science and Technology · 2010 · 37 citations · 24 references
EducationMathematicsMathematics EducationElementary Mathematics EducationMathematics InstructionSecondary Mathematics EducationMathematical KnowledgeMathematical ReasoningMathematics PedagogyGrade LevelGrade-level Learning ExpectationsMathematical Knowledge For TeachingMathematical PedagogyMathematical ThinkingMathematics Learning TheoriesMathematics ReasoningStudent Thinking In Mathematics
The prevalence of prediction in grade-level expectations in mathematics curriculum standards signifies the importance of the role prediction plays in the teaching and learning of mathematics. In this article, we discuss benefits of using prediction in mathematics classrooms: (1) students’ prediction can reveal their conceptions, (2) prediction plays an important role in reasoning and (3) prediction fosters mathematical learning. To support research on prediction in the context of mathematics education, we present three perspectives on prediction: (1) prediction as a mental act highlights the cognitive aspect and the conceptual basis of one's prediction, (2) prediction as a mathematical activity highlights the spectrum of prediction tasks that are common in mathematics curricula and (3) prediction as a socio-epistemological practice highlights the construction of mathematical knowledge in classrooms. Each perspective supports the claim that prediction when used effectively can foster mathematical learning. Considerations for supporting the use of prediction in mathematics classrooms are offered.
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Subjective probability: A judgment of representativeness
Daniel Kahneman, Amos Tversky · Cognitive Psychology · 1972 · 4.9K citations
David Hestenes, Gregg Swackhamer · The Physics Teacher · 1992 · 3.2K citations