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561
Numbers vs. Variables: The Effect of Symbols on Students’ Math Problem-Solving ...
Abstract: Numbers and variables often follow the same principles of arithmetic operations, yet numbers can be computed to a value whereas variables cannot. We examined the effect of symbols—numbers versus variables—on middle school students’ problem-solving behaviors in a dynamic algebra notation system by presenting problems in numbers (e.g., 3+5−3) or variables (e.g., x+y−x). We found that compared to problems presented in numbers, students attempted the problems more times and took more total steps when the problems were presented in variables. We did not find differences in pre-solving pause time or strategy efficiency on the two types of problems, indicating that students might notice problem structure in both types of problems. The results have implications for research on cognitive processes of symbols as well as the design of educational technologies. ...
Keyword: Applied Developmental Psychology; Applied Linguistics; Cognitive Linguistics; Cognitive Science; Educational Psychology; FOS Mathematics; Mathematics; Psycholinguistics
URL: https://underline.io/lecture/26770-numbers-vs-variables-the-effect-of-symbols-on-students-math-problem-solving
https://dx.doi.org/10.48448/qjdr-ra18
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562
Speak before you listen: Pragmatic reasoning in multi-trial language games ...
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563
The Role of Attention in Learning through Overheard Speech ...
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564
Grounding Word Learning Across Situations ...
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565
Modelling Human Communication as a Rejection Game ...
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566
The asymmetry between descriptions of vertical and horizontal spatial relations ...
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567
A Mixture of Experts in Associative Generalization ...
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568
Confidence in control: Metacognitive computations for information search ...
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569
The association between preschool teacher-child relationship and children’s kindergarten outcomes ...
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570
The Role of Attention in Learning through Overheard Speech ...
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571
Preparing Unprepared Students For Future Learning ...
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572
Can Closed-ended Practice Tests Promote Understanding from Text? ...
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573
Preparing Unprepared Students For Future Learning ...
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574
Transfer of learned opponent models in repeated games ...
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575
Can Closed-ended Practice Tests Promote Understanding from Text? ...
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576
Categorical Perception as a Combination of Nature and Nurture ...
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577
Enhancing Preschool Readiness: Evidence from a Home-based Game to Improve 5-year-old Children’s Mastery of Symbolic Numbers and Concepts ...
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578
Infants’ interpretation of information-seeking actions ...
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579
Temporal Gestures in Turkish Metaphor Explanations ...
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580
Categorical Perception as a Combination of Nature and Nurture ...
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