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Developing a relational meaning of the equal sign: effects of using a balance analogy in a game-based virtual environment
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Metacognitive calibration in introductory physics courses: Predictors and interventions
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An examination of gendered discourse in the discussion forums of online STEM courses
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Effect of collaborative learning and direct instruction on myside bias
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The intended and enacted curriculum in a new developmental mathematics course: a study of community college students' participation and attitudes
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Conjunction is more than just a grammatical resource: a comparative study of conjunctions in U.S. and Chinese mathematics lessons
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Enriching science trade books with explicit-reflective nature of science instruction: impacting elementary teachers' practice and improving students' learning
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Students' conceptions of trigonometric functions and positioning practices during pair work with Etoys
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A longitudinal analysis of teacher vs. student reports of teacher-student relatedness and their relation to engagement across the transition to middle school
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Communicating according to the standards: examining math talk in Chinese and U.S. mathematics classrooms
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Teachers' perceptions of the use of ASL phonological instruction to develop ASL and English literacy in an ASL/English bilingual preschool
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Implementing Reform: The Changing Cultures and Discourse Practices of Four First -Grade Classrooms
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Development of Conceptual and Procedural Knowledge in Preschoolers' Addition and Subtraction
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Abstract:
92 p. ; Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002. ; Learning in some domains requires the learner to construct relations between conceptual and procedural knowledge. However, we still do not have full knowledge about the underlying processes. Understanding of this issue will help researchers not only in building theories of knowledge acquisition but also in designing appropriate instruction. Two questions were investigated in this research: What is the knowledge basis that young children depend on to discover two arithmetic principles and to invent computational procedures? The first purpose of these questions was to understand how young children acquire these conceptual and procedural components with little intervention, and the second purpose was to explore the developmental relations between conceptual and procedural knowledge. Thirty-five and 36 children, between 2½ and 3½ years of age, participated in the first study and the second study, respectively. Each child was individually interviewed with three tasks: quantification, principle, and computation tasks. Four general findings were obtained from the two studies. First, the development of either of the principles in the more general form does not require knowledge of quantification. Second, there were mixed findings about the initial development of the principles, and none of them was conclusive at this point. Third, for both of the principles, the emergence of the general principle precedes the computational procedures for small numbers. Nevertheless, the development of the computational procedures for the simplest problems does not seem to rely on the general principles, at least not both of them. Although further evidence about the initial relations between quantification and the principles and between the principles and the procedures is needed, the results and discussion have two implications for the developmental relations between conceptual and procedural knowledge. First, two conceptually related components of conceptual and procedural knowledge may not always entail the same functional relation in development. Second, it follows from the first implication that the iterative improvement model proposed by Rittle-Johnson and colleagues may not always be true.
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Keyword:
Education; Educational Psychology
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URL: http://hdl.handle.net/2142/79744
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Is gesture-speech mismatch a general index of transitional knowledge?
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