Solo Based-Cognition Levels of Inductive Reasoning in Geometry
DOI:
https://doi.org/10.11575/ajer.v63i4.56331Keywords:
Cognition, induction, reasoning, level, SOLO taxonomy, Mots clés, cognition, raisonnement, taxonomie SOLOAbstract
Inductive reasoning is one of the essential forms of thinking in mathematical discoveries and is useful in the workplace of any field. This investigation examines and characterizes the cognition levels and developmental trends in the inductive reasoning of 27 top-performing prospective mathematics teachers from three universities in Cebu City, Philippines. Participants were given a test questionnaire to assess the use of inductive task items. An in-depth analysis of the solution processes and the utilization of clustering through percentile quartiles generated two levels of cognition that support the SOLO taxonomy model. The levels are derived from a modified checklist that was based on the SOLO taxonomy. The findings support a trend of cognition for inductive reasoning ability in geometry and suggest that incoherence and the inability to connect learning to new task obstructs success. Participants who were unsuccessful in lower level tasks were not effective in higher level tasks.
Le raisonnement inductif est une des formes essentielles de pensée dans les découvertes en mathématiques, et est utile dans les milieux de travail de n’importe quel domaine. Cette étude analyse et caractérise les niveaux de cognition et les tendances en raisonnement inductif chez 27 des meilleurs futurs enseignants de mathématiques de trois universités à Cebu City, Philippines. Les participants ont complété un questionnaire visant l’évaluation de l’emploi des items impliquant un raisonnement inductif. Une analyse approfondie des processus de solution et de l’emploi du regroupement par des percentiles et des quartiles a généré deux niveaux de cognition qui appuient le modèle de la taxonomie SOLO sur les objectifs d’apprentissage. Les niveaux découlent d’une liste de vérification modifiée et basée sur la taxonomie SOLO. Les résultats appuient une tendance en cognition portant sur la capacité de raisonner de façon inductive en géométrie, et portent à croire que l’incapacité à lier l’apprentissage aux nouvelles tâches entrave la réussite. Les participants qui ne réussissaient pas les tâches de niveau bas n’étaient pas performants avec les tâches de niveau plus élevé.
Downloads
Published
How to Cite
Issue
Section
License
UNIVERSITY OF ALBERTA COPYRIGHT LICENSE AND PUBLICATION AGREEMENT
If accepted, authors will be asked to sign a copyright agreement with the following points:
A. Where there is any inconsistency between this Copyright License and Publication Agreement and any other document or agreement in relation to the same subject matter, the terms of this Agreement shall govern.
B. This document sets out the rights you are granting in relation to publication of your article, book review, or research note entitled (the “Article”) through inclusion in the academic journal titled Alberta Journal of Educational Research (the “Journal”) published through the Faculty of Education, representing the Governors of the University of Alberta (the “Journal Editor”).
C. There will be no payment to you for this publication and grant of rights. In consideration of the agreement to publish the Article in the Journal:
1. You are warranting that:
- the content of the Article is your original work, and its content does not contain any material infringing the copyright of others; or, where the Article is not entirely your original work, you have obtained all necessary permissions in writing to grant the rights you are giving in this agreement;
- the content of the Article does not contain any material that is defamatory of, or violates the privacy rights of, or discloses the confidential information of, any other person;
- the Article has not been published elsewhere in whole or in part, and you will not allow publication of the Article elsewhere without the consent of the Journal Editor;
- the names of all co-authors and contributors to the Article are:
2. You agree to license the copyright in the Article to the Journal Editor, on a worldwide, perpetual, royalty free basis; and to the extent required by the terms of this agreement. You shall retain the right at all times to be acknowledged as the/an author of the Article.
3. You further agree that the Journal Editor has the entitlement to deal with the Article as the Journal Editor sees fit, and including in the following manner;
- The right to print, publish, market, communicate and distribute the Article and the Journal, in this and any subsequent editions, in all media (including electronic media), in all languages, and in all territories, ing the full term of copyright, and including any form of the Article separated from the Journal, such as in a database, abstract, offprint, translation or otherwise, and to authorize third parties to do so;
- The right to register copyright of the Journal;
- The right to edit the Article, to conform to editorial policy as the Journal Editor sees fit.
4. If any co-author or contributor to the Article does not sign this agreement, the Journal Editor reserves the right to refuse to publish the Article.
