NotesFAQContact Us
Collection
Advanced
Search Tips
Back to results
Peer reviewed Peer reviewed
PDF on ERIC Download full text
ERIC Number: EJ1209461
Record Type: Journal
Publication Date: 2014
Pages: 14
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1012-2346
Mathematics, Curriculum and Assessment: The Role of Taxonomies in the Quest for Coherence
Long, Caroline; Dunne, Tim; de Kock, Hendrik
Pythagoras, v35 n2 Article 240 2014
A challenge encountered when monitoring mathematics teaching and learning at high school is that taxonomies such as Bloom's, and variations of this work, are not entirely adequate for providing meaningful feedback to teachers beyond very general cognitive categories that are difficult to interpret. Challenges of this nature are also encountered in the setting of examinations, where the requirement is to cover a range of skills and cognitive domains. The contestation as to the cognitive level is inevitable as it is necessary to analyse the relationship between the problem and the learners' background experience. The challenge in the project described in this article was to find descriptive terms that would be meaningful to teachers. The first attempt at providing explicit feedback was to apply the assessment frameworks that include a content component and a cognitive component, namely knowledge, routine procedures, complex procedures and problem solving, currently used in the South African curriculum documents. The second attempt investigated various taxonomies, including those used in international assessments and in mathematics education research, for constructs that teachers of mathematics might find meaningful. The final outcome of this investigation was to apply the dimensions required to understand a mathematical concept proposed by Usiskin (2012): the "skills-algorithm," "property-proof," "use-application" and "representation-metaphor" dimension. A feature of these dimensions is that they are not hierarchical; rather, within each of the dimensions, the mathematical task may demand recall but may also demand the highest level of creativity. For our purpose, we developed a two-way matrix using Usiskin's dimensions on one axis and a variation of Bloom's revised taxonomy on the second axis. Our findings are that this two-way matrix provides an alternative to current taxonomies, is more directly applicable to mathematics and provides the necessary coherence required when reporting test results to classroom teachers. In conclusion we discuss the limitations associated with taxonomies for mathematics.
AOSIS. 15 Oxford Street, Durbanville, Cape Town, 7550 South Africa. Tel: +27-21-975-2602; Fax: +27-21-975-4635; e-mail: publishing@aosis.co.za; Web site: https://sajce.co.za/index.php/pythagoras
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Secondary Education; Grade 9; High Schools; Junior High Schools; Middle Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: South Africa
Identifiers - Assessments and Surveys: Trends in International Mathematics and Science Study