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1
Developing a relational meaning of the equal sign: effects of using a balance analogy in a game-based virtual environment
Abstract: Understanding the equal sign relationally is important for success in arithmetic and algebra. Yet, many elementary school children continue to perceive it operationally, as a symbol that indicates computation. Mathematics educators have long suggested the use of the balance scale as an appropriate context for developing the relational meaning of the equal sign. However, studies that directly evaluate the pedagogical effectiveness of the balance scale remain limited. This experimental study, with 148 second- and third-grade students, examined the effects of using a virtual balance scale in promoting a relational meaning of the equal sign. Findings indicate that although the virtual manipulative may be helpful in supporting a relational meaning of the equal sign, there are other features associated with the manipulative that have advantages over the use of the dynamic virtual balance scale in promoting students’ learning of mathematical equivalence. Results suggest that seemingly intuitive manipulatives that are perceptually rich may not promote optimal learning. ; U of I Only ; Author submitted a 2-year U of I restriction extension request.
Keyword: Elementary mathematics; Equal sign; Equivalence; Relational meaning; Virtual Balance Scale
URL: http://hdl.handle.net/2142/90773
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2
Metacognitive calibration in introductory physics courses: Predictors and interventions
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3
An examination of gendered discourse in the discussion forums of online STEM courses
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4
Effect of collaborative learning and direct instruction on myside bias
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5
The intended and enacted curriculum in a new developmental mathematics course: a study of community college students' participation and attitudes
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6
Conjunction is more than just a grammatical resource: a comparative study of conjunctions in U.S. and Chinese mathematics lessons
Wang, Shuai. - 2016
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7
Enriching science trade books with explicit-reflective nature of science instruction: impacting elementary teachers' practice and improving students' learning
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8
Students' conceptions of trigonometric functions and positioning practices during pair work with Etoys
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9
A longitudinal analysis of teacher vs. student reports of teacher-student relatedness and their relation to engagement across the transition to middle school
Jamison, Rhonda. - 2014
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10
Communicating according to the standards: examining math talk in Chinese and U.S. mathematics classrooms
McConney, Marc. - 2013
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11
Engaging young students in scientific investigations: prompting for meaningful reflection
In: Instructional science. - Dordrecht ; Heidelberg [u.a.] : Springer Science + Business Media 40 (2011) 1, 19-46
OLC Linguistik
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12
Teachers' perceptions of the use of ASL phonological instruction to develop ASL and English literacy in an ASL/English bilingual preschool
Crume, Peter. - 2011
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13
Implementing Reform: The Changing Cultures and Discourse Practices of Four First -Grade Classrooms
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14
Development of Conceptual and Procedural Knowledge in Preschoolers' Addition and Subtraction
Liao, Hsin-Mei. - 2002
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15
Knowledge in transition : adults' developing understanding of a principle of physical causality
In: Cognitive development. - Amsterdam [u.a.] : Elsevier Science 12 (1997) 1, 131-157
BLLDB
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16
Is gesture-speech mismatch a general index of transitional knowledge?
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17
Mathematics learning in Japanese, Chinese, and American classrooms
In: Cultural psychology (Cambridge, 1990), P. 328-356
MPI für Psycholinguistik
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18
Transitional knowledge in the acquisition of concepts
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