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What Conceptions Have US Grade 4-6 Students' Generalized for Formal and Informal Common Representations of Unknown Addends?
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Switzer, J. Matt – International Journal for Mathematics Teaching and Learning, 2016
Research findings have established that students often struggle with mathematical symbols including common misconceptions for literal symbolic representations of variables but provide little evidence of when or how these misconceptions arise. This article reports findings from a study of grade 4-6 students' conception(s) for various…
Descriptors: Elementary School Mathematics, Grade 4, Grade 5, Grade 6
Students' Differentiated Translation Processes
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Bossé, Michael J.; Adu-Gyamfi, Kwaku; Chandler, Kayla – International Journal for Mathematics Teaching and Learning, 2014
Understanding how students translate between mathematical representations is of both practical and theoretical importance. This study examined students' processes in their generation of symbolic and graphic representations of given polynomial functions. The purpose was to investigate how students perform these translations. The result of the study…
Descriptors: Mathematical Concepts, Cognitive Processes, Student Behavior, Mathematics Education
Superitem Test: An Alternative Assessment Tool to Assess Students' Algebraic Solving Ability
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Lian, Lim Hooi; Yew, Wun Thiam; Idris, Noraini – International Journal for Mathematics Teaching and Learning, 2010
Superitem test based on the SOLO model (Structure of the Observing Learning Outcome) has become a powerful alternative assessment tool for monitoring the growth of students' cognitive ability in solving mathematics problems. This article focused on developing a superitem test to assess students' algebraic solving ability through interview method.…
Descriptors: Alternative Assessment, Mathematics Instruction, Cognitive Ability, Algebra
Secondary 2 Students' Difficulties in Solving Non-Routine Problems
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Yeo, Kai Kow Joseph – International Journal for Mathematics Teaching and Learning, 2009
As part of a study on mathematical problem solving of secondary 2 (13- to 14-years old) students in Singapore, 56 Secondary two students from ten secondary schools participated in this study. The purpose of this paper is to explore difficulties faced by 56 Secondary 2 students when solving problems. These interviews were analysed using the…
Descriptors: Problem Solving, Foreign Countries, Learning Problems, Interviews
Students' Perceptions about the Symbols, Letters and Signs in Algebra and How Do These Affect Their Learning of Algebra: A Case Study in a Government Girls Secondary School Karachi
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Samo, Mashooque Ali – International Journal for Mathematics Teaching and Learning, 2009
Algebra uses symbols for generalizing arithmetic. These symbols have different meanings and interpretations in different situations. Students have different perceptions about these symbols, letters and signs. Despite the vast research by on the students' difficulties in understanding letters in Algebra, the overall image that emerges from the…
Descriptors: Student Attitudes, Word Problems (Mathematics), Algebra, Misconceptions
Mathematical Self-Efficacy of Middle School Students Solving the Rubik Cube
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Arizpe, Omar; Dwyer, Jerry; Stevens, Tara – International Journal for Mathematics Teaching and Learning, 2009
A solution to the Rubik's Cube was introduced to an eighth grade mathematics class. The purpose of this study was to determine if an introduction to a solution to the Rubik's Cube could enhance students' problem-solving abilities, increase their general interest in mathematics, and enhance students' problem solving self-efficacy. Pre and Post…
Descriptors: Self Efficacy, Problem Solving, Grade 8, Problem Sets