Assessment of university students’ understanding of abstract binary operations

Timo Ehmke; Martti E. Pesonen; Lenni Haapasalo

Assessment of university students’ understanding of abstract binary operations

Research output: Journal contributions › Journal articles › Research › peer-review

Standard

Assessment of university students’ understanding of abstract binary operations. / Ehmke, Timo; Pesonen, Martti E.; Haapasalo, Lenni.
In: Nordic Studies in Mathematics Education, Vol. 15, No. 4, 2010, p. 25-40.

Research output: Journal contributions › Journal articles › Research › peer-review

Bibtex

@article{6ace9f63a18a45bf965e25903aac6116,

title = "Assessment of university students{\textquoteright} understanding of abstract binary operations",

abstract = "This paper presents the results of a study on the use of interactive online tasks toassess students{\textquoteright} conceptual understanding of abstract binary operations in a firstyear linear algebra course. The assessment consists of recognition, identification and production tasks and uses verbal, graphic and symbolic representations of binary operations in numerous point set contexts. The aim of the study is to directly assess the students{\textquoteright} understanding of binary operations and – more indirectly – to identify different profiles for the students{\textquoteright} procedural and conceptual knowledge levels. A latent class analysis revealed different levels in students{\textquoteright} conceptual understanding. Implications will be drawn for teaching abstract binary operations – and other similar concepts. Finally, some suggestions about conceptual qualifications for mathematics teacher education will be discussed.",

keywords = "Empirical education research",

author = "Timo Ehmke and Pesonen, {Martti E.} and Lenni Haapasalo",

year = "2010",

language = "English",

volume = "15",

pages = "25--40",

journal = "Nordic Studies in Mathematics Education",

issn = "1104-2176",

publisher = "Nationellt Centrum f{\"o}r Matematikutbildning",

number = "4",

}

RIS

TY - JOUR

T1 - Assessment of university students’ understanding of abstract binary operations

AU - Ehmke, Timo

AU - Pesonen, Martti E.

AU - Haapasalo, Lenni

PY - 2010

Y1 - 2010

N2 - This paper presents the results of a study on the use of interactive online tasks toassess students’ conceptual understanding of abstract binary operations in a firstyear linear algebra course. The assessment consists of recognition, identification and production tasks and uses verbal, graphic and symbolic representations of binary operations in numerous point set contexts. The aim of the study is to directly assess the students’ understanding of binary operations and – more indirectly – to identify different profiles for the students’ procedural and conceptual knowledge levels. A latent class analysis revealed different levels in students’ conceptual understanding. Implications will be drawn for teaching abstract binary operations – and other similar concepts. Finally, some suggestions about conceptual qualifications for mathematics teacher education will be discussed.

AB - This paper presents the results of a study on the use of interactive online tasks toassess students’ conceptual understanding of abstract binary operations in a firstyear linear algebra course. The assessment consists of recognition, identification and production tasks and uses verbal, graphic and symbolic representations of binary operations in numerous point set contexts. The aim of the study is to directly assess the students’ understanding of binary operations and – more indirectly – to identify different profiles for the students’ procedural and conceptual knowledge levels. A latent class analysis revealed different levels in students’ conceptual understanding. Implications will be drawn for teaching abstract binary operations – and other similar concepts. Finally, some suggestions about conceptual qualifications for mathematics teacher education will be discussed.

KW - Empirical education research

M3 - Journal articles

VL - 15

SP - 25

EP - 40

JO - Nordic Studies in Mathematics Education

JF - Nordic Studies in Mathematics Education

SN - 1104-2176

IS - 4

ER -

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