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
|
|
BASE
|
|
Hide details
|
|
2 |
Metacognitive calibration in introductory physics courses: Predictors and interventions
|
|
|
|
BASE
|
|
Show details
|
|
3 |
An examination of gendered discourse in the discussion forums of online STEM courses
|
|
|
|
BASE
|
|
Show details
|
|
4 |
Effect of collaborative learning and direct instruction on myside bias
|
|
|
|
BASE
|
|
Show details
|
|
5 |
The intended and enacted curriculum in a new developmental mathematics course: a study of community college students' participation and attitudes
|
|
|
|
BASE
|
|
Show details
|
|
6 |
Conjunction is more than just a grammatical resource: a comparative study of conjunctions in U.S. and Chinese mathematics lessons
|
|
|
|
BASE
|
|
Show details
|
|
7 |
Enriching science trade books with explicit-reflective nature of science instruction: impacting elementary teachers' practice and improving students' learning
|
|
|
|
BASE
|
|
Show details
|
|
8 |
Students' conceptions of trigonometric functions and positioning practices during pair work with Etoys
|
|
|
|
BASE
|
|
Show details
|
|
9 |
A longitudinal analysis of teacher vs. student reports of teacher-student relatedness and their relation to engagement across the transition to middle school
|
|
|
|
BASE
|
|
Show details
|
|
10 |
Communicating according to the standards: examining math talk in Chinese and U.S. mathematics classrooms
|
|
|
|
BASE
|
|
Show details
|
|
12 |
Teachers' perceptions of the use of ASL phonological instruction to develop ASL and English literacy in an ASL/English bilingual preschool
|
|
|
|
BASE
|
|
Show details
|
|
13 |
Implementing Reform: The Changing Cultures and Discourse Practices of Four First -Grade Classrooms
|
|
|
|
BASE
|
|
Show details
|
|
14 |
Development of Conceptual and Procedural Knowledge in Preschoolers' Addition and Subtraction
|
|
|
|
BASE
|
|
Show details
|
|
16 |
Is gesture-speech mismatch a general index of transitional knowledge?
|
|
|
|
BASE
|
|
Show details
|
|
|
|