ERIC Number: EJ1409695
Record Type: Journal
Publication Date: 2023
Pages: 16
Abstractor: As Provided
ISBN: N/A
ISSN: N/A
EISSN: EISSN-2468-6891
Errors and Misconceptions in Euclidean Geometry Problem Solving Questions: The Case of Grade 12 Learners
Moeketsi Mosia; Mogalatjane Edward Matabane; Tshele John Moloi
Research in Social Sciences and Technology, v8 n3 p89-104 2023
Euclidean geometry provides an opportunity for learners to learn argumentation and develop inductive and deductive reasoning. Despite the significance of Euclidean geometry for developing these skills, learner performance in mathematics, particularly geometry, remains a concern in many countries. Thus, the current study examined the nature of learners' errors in Euclidean geometry problem-solving, particularly regarding the theorem for angle at the centre and its applications. Van Heile's theory of geometric thinking and teacher knowledge of error analysis were used as conceptual frameworks to make sense of the nature of learners' errors and misconceptions. Using a participatory action research approach, the study was operationalised by five mathematics teachers from four secondary schools in Motheo district in the Free State Province of South Africa and three academics from two local universities. The study analysed 50 sampled midyear examination scripts of Grade 12 learners from four schools. The findings of this study revealed that most learner errors resulted from concepts on Van Heile's operating Levels 0 and 1, while the questions mainly required Level 3 thinking. The study recommends that teachers determine their learners' level of geometric thinking and integrate this knowledge in their lesson preparations and material development.
Descriptors: Geometry, Mathematics Instruction, Misconceptions, Thinking Skills, Persuasive Discourse, Error Patterns, Action Research, Problem Solving, Grade 12, High School Students, Mathematics Tests, Foreign Countries
Research in Social Sciences and Technology. Yesilova Mah. Caldiran Cad. 29/11 Etimesgut Ankara, Turkey; Web site: https://ressat.org/index.php/ressat
Publication Type: Journal Articles; Reports - Research
Education Level: Grade 12; High Schools; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: South Africa
Grant or Contract Numbers: N/A