ERIC Number: EJ1379904
Record Type: Journal
Publication Date: 2022
Pages: 26
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-2087-8885
EISSN: EISSN-2407-0610
Examples and Generalizations in Mathematical Reasoning -- A Study with Potentially Mathematically Gifted Children
Journal on Mathematics Education, v13 n4 p605-630 2022
Mathematical arguments are central components of mathematics and play a role in certain types of modelling of potential mathematical giftedness. However, particular characteristics of arguments are interpreted differently in the context of mathematical giftedness. Some models of giftedness see no connection, whereas other models consider the formulation of complete and plausible arguments as a partial aspect of giftedness. Furthermore, longitudinal changes in argumentation characteristics remain open. This leads to the research focus of this article, which is to identify and describe the changes of argumentation products in potentially mathematically gifted children over a longer period. For this purpose, the argumentation products of children from third to sixth grade are collected throughout a longitudinal study and examined with respect to the use of examples and generalizations. The analysis of all products results in six different types of changes in the characteristics of the argumentation products identified over the survey period and case studies are used to illustrate student use of examples and generalizations of these types. This not only reveals the general importance of the use of examples in arguments. For one type, an increase in generalized arguments can be observed over the survey period. The article will conclude with a discussion of the role of argument characteristics in describing potential mathematical giftedness.
Descriptors: Mathematical Logic, Thinking Skills, Mathematics Education, Academically Gifted, Elementary School Students, Grade 3, Grade 4, Grade 5, Grade 6, Foreign Countries, Longitudinal Studies
Indonesian Mathematical Society. Jl. Padang Selasa 524, Palembang, South Sumatra 30139, Indonesia. Tel: +618-127-106777; Fax: +627-113-20310; Web site: http://jme.ejournal.unsri.ac.id/index.php/jme
Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education; Early Childhood Education; Grade 3; Primary Education; Grade 4; Intermediate Grades; Grade 5; Middle Schools; Grade 6
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Germany
Grant or Contract Numbers: N/A