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Bentley, Brianna; Bossé, Michael J. – International Electronic Journal of Mathematics Education, 2018
This study investigates college students' understanding of arithmetic fraction operations as defined by the Common Core State Standards in grades three through six Mathematics. This study is meant to extend upon an extensive body of research regarding elementary and middle grades students' understanding of fraction operations and see if recognized…
Descriptors: College Students, Mathematics Skills, Fractions, Arithmetic
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Üzel, Devrim – Universal Journal of Educational Research, 2018
This study reports errors and misconceptions about division operation in fractions made by eighth-grade students. To investigate these errors and misconceptions, the study examined students' understanding of division operation in fractions using a questionnaire and expectation table. Students' misconceptions were determined for each question and…
Descriptors: Misconceptions, Fractions, Generalization, Word Problems (Mathematics)
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Lin, Cheng-Yao; Becker, Jerry; Byun, Mi-Ran; Yang, Der-Ching; Huang, Tsai-Wei – School Science and Mathematics, 2013
This study examined (a) the differences in preservice teachers’ procedural knowledge in four areas of fraction operations in Taiwan and the United States, (b) the differences in preservice teachers’ conceptual knowledge in four areas of fraction operations in Taiwan and the United States, and (c) correlation in preservice teachers’ conceptual…
Descriptors: Preservice Teachers, Mathematics, Knowledge Level, Correlation
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Whitehead, Ashley N.; Walkowiak, Temple A. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015
This study examined pre-service elementary teachers' change in their understanding of fraction operations while taking a mathematics methods course. Specifically, their explanations and justifications for common algorithms for multiplication and division of fractions were coded using an existing framework (SOLO; Biggs, 1999) for the assessment of…
Descriptors: Preservice Teachers, Fractions, Mathematics Instruction, Mathematical Concepts
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Lovin, LouAnn H.; Stevens, Alexis L.; Siegfried, John; Wilkins, Jesse L. M.; Norton, Anderson – Journal of Mathematics Teacher Education, 2018
In an effort to expand our knowledge base pertaining to pre-K-8 prospective teachers' understanding of fractions, the present study was designed to extend the work on fractions schemes and operations to this population. One purpose of our study was to validate the fractions schemes and operations hierarchy with the pre-K-8 prospective teacher…
Descriptors: Preservice Teachers, Mathematics Skills, Fractions, Mathematical Concepts
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Stevens, Alexis L.; Wilkins, Jesse L. M.; Lovin, LouAnn H.; Siegfried, John; Norton, Anderson; Busi, Richard – Journal of Mathematics Teacher Education, 2020
In a previous study, we validated the fractions schemes and operations trajectory (Norton and Wilkins 2012; Steffe in J Math Behav 20(3): 267-307, 2002; Steffe and Olive Children's fractional knowledge. Springer, New York, 2010; Wilkins and Norton 2011) with PreK-8 prospective teachers and explored PreK-8 prospective teachers' understanding of…
Descriptors: Preservice Teachers, Mathematics Instruction, Fractions, Teaching Methods
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Mukwambo, Muzwangowenyu; Ngcoza, Kenneth; Ramasike, Lineo Florence – Pedagogical Research, 2018
Learners in lower primary and even some in upper primary grades grapple to perform mathematical operations which involve fractions. Failure to solve these mathematical operations creates a gap in the teaching and learning processes of mathematics. We opine that this is attributed to use of traditional mathematical approaches of teaching and…
Descriptors: Mathematics Instruction, Addition, Subtraction, Fractions
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Philipp, Randolph A.; Hawthorne, Casey – Teaching Children Mathematics, 2015
Although fraction operations are procedurally straightforward, they are complex, because they require learners to conceptualize different units and view quantities in multiple ways. Prospective secondary school teachers sometimes provide an algebraic explanation for inverting and multiplying when dividing fractions. That authors of this article…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Concepts, Secondary School Teachers
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Stohlmann, Micah; Yang, Yichen; Huang, Xing; Olson, Travis – International Electronic Journal of Mathematics Education, 2020
Teaching fraction operations for conceptual understanding is a challenging task. For the topic of fraction division especially, teachers need support because teachers find this difficult to teach and elementary and middle school students struggle to learn this concept. Well-structured professional development can assist teachers in exploring their…
Descriptors: Grade 4, Grade 5, Grade 6, Concept Formation
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Kara, Fatma; Incikabi, Lutfi – International Electronic Journal of Elementary Education, 2018
The current study aims to show the transition skills of sixth grade students between the representations (numerical, model, number line and verbal) given in addition-subtraction operations in fractions and to analyse the ability of the students to construct each representation type. In this research, case study method was used in terms of the…
Descriptors: Grade 6, Foreign Countries, Mathematical Concepts, Addition
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Busi, Rich; Lovin, LouAnn; Norton, Anderson; Siegfried, John; Stevens, Alexis; Wilkins, Jesse L. M. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015
Supporting students to build robust fraction schemes and operations is an enduring challenge in mathematics education. Recent research has explored a developmental trajectory of fractions schemes and operations constructed by upper-elementary and middle school students in an effort to support student learning. This study broadened the existing…
Descriptors: Fractions, Elementary School Teachers, Middle School Teachers, Preservice Teachers
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Bayaga, Anass; Bossé, Michael J. – International Electronic Journal of Elementary Education, 2018
This study begins by connecting semantic elaboration with conceptual understanding and syntactic elaboration with procedural understanding in the context of fractions. Through case studies and discourse analysis, the work and communication of students in fourth through sixth grade is analyzed to determine the extent of their semantic and syntactic…
Descriptors: Semantics, Fractions, Mathematical Concepts, Case Studies
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Thurtell, Elise; Forrester, Tricia; Chinnappan, Mohan – Mathematics Teacher Education and Development, 2019
A deep understanding of fraction concepts and operations is necessary if pre-service teachers (PSTs) are to present the concepts in multiple forms to learners. Such an understanding needs to be grounded in rich conceptual knowledge. In the present study, we explore the development of this understanding by supporting a cohort of 103 PSTs, who had…
Descriptors: Fractions, Preservice Teachers, Teacher Education Programs, Mathematical Concepts
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Young, Elaine; Zientek, Linda – Investigations in Mathematics Learning, 2011
Fractions are important in young students' understanding of rational numbers and proportional reasoning. The teacher is fundamental in developing student understanding and competency in working with fractions. The present study spanned five years and investigated prospective teachers' competency and confidence with fraction operations as they…
Descriptors: College Mathematics, Numbers, Error Patterns, Mathematics Instruction
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Aliustaoglu, Feyza; Tuna, Abdulkadir; Biber, Abdullah Çagri – International Electronic Journal of Elementary Education, 2018
The purpose of this study is to determine the misconceptions of 6th-grade secondary school students in terms of part-whole relation in fractions, representation of fractions on the number line, comparison of fractions and operations in fractions. The sample of this study is composed of 104 students who are being educated in 6th-grade of five…
Descriptors: Grade 6, Misconceptions, Mathematical Concepts, Secondary School Students
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