The role of prediction in the teaching and learning of mathematics
Authors:
- 24 June 2010
- journal article
- research article
- Published by Taylor & Francis in International Journal of Mathematical Education in Science and Technology
- Vol. 41 (5) , 595-608
Abstract
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.Keywords
This publication has 21 references indexed in Scilit:
- How Students Learn Statistics Revisited: A Current Review of Research on Teaching and Learning StatisticsInternational Statistical Review, 2007
- Prediction and the Periodical Aspect as Generators of Knowledge in a Social Practice FrameworkEducational Studies in Mathematics, 2005
- The Roles of Mental Animations and External Animations in Understanding Mechanical SystemsCognition and Instruction, 2003
- Effects of Emphasizing Hypothetico-Predictive Reasoning within the Science Learning Cycle on High School Student's Process Skills and Conceptual Understandings in BiologyJournal of Research in Science Teaching, 1999
- Fifth Graders' Enumeration of Cubes in 3D Arrays: Conceptual Progress in an Inquiry-Based ClassroomJournal for Research in Mathematics Education, 1999
- Two Dual Assertions: The First on Learning and the Second on Teaching (or Vice Versa)The American Mathematical Monthly, 1998
- Some long‐term effects of uninformed conceptual changeScience Education, 1992
- Force concept inventoryThe Physics Teacher, 1992
- Understanding of gravityScience Education, 1981
- Subjective probability: A judgment of representativenessCognitive Psychology, 1972