Mathematical Cognition: In the Elementary Years [6–12]

Appova, Aina; Sriraman, Bharath

doi:10.1007/978-3-319-77487-9_100014-1

Cited by 1 publication

(5 citation statements)

References 23 publications

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“…Appova et al [5] tried to identify error patterns and students' difficulties regarding vectors, vector operations, orthogonality, and linear combinations. They used qualitative data in the form of artefacts and students' work samples to identify students' mathematical errors.…”

Section: Literature Reviewmentioning

confidence: 99%

“…They used qualitative data in the form of artefacts and students' work samples to identify students' mathematical errors. Appova et al [5] found that most students were unable to solve a mission involving vectors and vector operations correctly. In addition, they found two types of difficulties that were common across the sample, namely, misunderstanding of vector operations and projections, and inability to distinguish between vectors and scalars.…”

Section: Literature Reviewmentioning

confidence: 99%

“…(a) Studies that analyzed students' difficulties about vector concepts and representations [5,6,8,9,14,15,[17][18][19]25]. (b) Studies that investigated students' difficulties associated with vectors within a physical context [7-9, 16, 26].…”

Section: Literature Reviewmentioning

confidence: 99%

“…Our search of previous studies dealing with vectors suggested that most of the studies employed qualitative designs to investigate student difficulties in understanding vectors (e.g. [5][6][7]). Furthermore, Creswell [28] suggested that exploratory survey design is more appropriate when the researcher intends to describe trends in a phenomenon, in this case the trends in student difficulties in understanding vectors.…”

Section: Design and Contextmentioning

confidence: 99%

“…We believe that the concept of vectors and their operations have not been a subject of research in a UAE context. Within the international studies that have investigated student difficulties and misconceptions about vectors, the majority of these studies employed qualitative approaches to data collection [5][6][7]. Few have considered student difficulties associated with specific concepts such as vectors and scalars or multiplication of a vector [8][9][10][11], showing that the interplay between the two interconnected terms, scalar and vector, is commonly misunderstood.…”

Section: Introductionmentioning

confidence: 99%

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Examining Grade 11 science students’ difficulties in learning about vector operations

et al. 2020

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Studies on student learning of scientific concepts have shown that students often experience various difficulties in understanding basic physics concepts such as vector quantities, as a result of formal and informal learning. The purpose of the present study is to document Grade 11 students’ difficulties in understanding vectors and their associated concepts. Specifically, the study tried to find answers to questions about the overall level of difficulty experienced by Grade 11 students about vectors, the nature of these difficulties, and their association with operations, such as scalars, adding vectors graphically, determining vector magnitude and direction, and multiplying vectors by numbers. Altogether, 58 Grade 11 students participated in this study. The study employed a specifically adapted test to assess participants’ understanding of vectors in relation to: (1) identifying whether students can distinguish between vectors and scalars, (2) adding vectors graphically, (3) determining the vector magnitude and direction, and (4) multiplying vectors by numbers. The findings suggested that, although most students were able to distinguish between vectors and scalars, they had experienced various difficulties in understanding operations in relation to adding vectors, graphically and mathematically, determining vector magnitudes and directions, and multiplying vectors by numbers. The findings were discussed within the recent UAE educational reform policy.

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Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%