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Mavrikis, Manolis; Rummel, Nikol; Wiedmann, Michael; Loibl, Katharina; Holmes, Wayne – Educational Technology Research and Development, 2022
Educational technologies in mathematics typically focus on fostering either procedural knowledge by means of structured tasks or, less often, conceptual knowledge by means of exploratory tasks. However, both types of knowledge are needed for complete domain knowledge that persists over time and supports subsequent learning. We investigated in two…
Descriptors: Fractions, Mathematics Instruction, Elementary School Students, Cross Cultural Studies
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Samar Tfaili – International Society for Technology, Education, and Science, 2023
The main purpose of this study is to assess pre-service and public elementary mathematics school teachers' conceptual understanding and computational abilities of fractions. 20 pre-service mathematics teachers and 24 in-service mathematics teachers participated in this study. In-service teachers were divided into two categories; one for teachers…
Descriptors: Fractions, Preservice Teachers, Teacher Education Programs, Comparative Analysis
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Prediger, Susanne; Quabeck, Kim; Erath, Kirstin – Journal on Mathematics Education, 2022
Adaptive teaching on the micro-level of teacher-student interaction has often been investigated, but rarely with respect to students' content-specific learning pathways. In this paper, we present an analytic approach to disentangle the learning content into its components and to capture the content-specific adaptivity in teaching practices with…
Descriptors: Fractions, Mathematics Instruction, Teacher Student Relationship, Course Content
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Alibali, Martha W.; Norton, Anderson – Research in Mathematics Education, 2019
The overarching theme of this book can be simply stated: Building on a foundation of biologically based abilities, children construct number via sensorimotor and mental activity. In this chapter, we return to this theme, and we connect it to three additional themes that emerge across chapters: comparing competing models for conceptual change;…
Descriptors: Mathematics Instruction, Interdisciplinary Approach, Teaching Methods, Numbers
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Olanoff, Dana; Feldman, Ziv; Welder, Rachael M.; Tobias, Jennifer M.; Thanheiser, Eva; Hillen, Amy F. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
Prospective teachers (PTs) need opportunities to develop fraction number sense, yet little research has explicated how this development occurs. Our research team collaboratively designed a task targeted at helping PTs develop fraction number sense through an exploration of fraction comparison strategies. This paper focuses on developing one…
Descriptors: Preservice Teachers, Fractions, Mathematical Concepts, Concept Formation
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Fuentes, Sarah Quebec; Crawford, Lindy; Huscroft-D'Angelo, Jacqueline – Australian Primary Mathematics Classroom, 2017
All students should have opportunities to develop their ability to reason mathematically. Gersten and Chard (1999) support this stance with respect to students with learning disabilities: "Even if students are not automatic with basic facts, they still should be engaged in activities that promote the development of number sense and…
Descriptors: Teaching Models, Mathematics Instruction, Mathematical Logic, Comparative Analysis
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Jayanthi, Madhavi; Gersten, Russell; Taylor, Mary Jo; Smolkowski, Keith; Dimino, Joseph – Regional Educational Laboratory Southeast, 2017
Contemporary state math standards emphasize that students must demonstrate an understanding of the mathematical ideas underlying the computations that have typically been the core of the elementary school math curriculum. The standards have put an increased emphasis on the study of fractions in upper elementary grades, which are the years during…
Descriptors: Mathematics Instruction, Elementary School Mathematics, Faculty Development, Grade 4
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Hunt, Jessica H.; Welch-Ptak, Jasmine J.; Silva, Juanita M. – Learning Disability Quarterly, 2016
Documenting how students with learning disabilities (LD) initially conceive of fractional quantities, and how their understandings may align with or differ from students with mathematics difficulties, is necessary to guide development of assessments and interventions that attach to unique ways of thinking or inherent difficulties these students…
Descriptors: Learning Disabilities, Fractions, Mathematical Concepts, Concept Formation
Lewis, Katherine E. – Learning Disability Quarterly, 2016
Although many students struggle with fractions, students with mathematical learning disabilities (MLDs) experience pervasive difficulties because of neurological differences in how they process numerical information. These students make errors that are qualitatively different than their typically achieving and low-achieving peers. This study…
Descriptors: Learning Disabilities, Mathematics Instruction, Neurological Impairments, Statistical Analysis
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Peterson, Sarah E.; And Others – Journal of Experimental Education, 1990
This study of sixth grade industrial arts students examined the relationships among declarative, conceptual, and procedural knowledge in the acquisition of ruler measurement skills. Results for 90 sixth graders indicate that the line identification method was superior overall to the fractional method, for both acquisition and retention of skills.…
Descriptors: Comparative Analysis, Concept Formation, Elementary School Students, Fractions