Development and validation of selected response test to measure students' declarative knowledge of triangles

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Thesis Type: Postgraduate

Institution Of The Thesis: Middle East Technical University, Faculty of Education, Mathematics and Science Education, Turkey

Approval Date: 2022

Thesis Language: English

Student: Melike Güneş

Supervisor: Behiye Ubuz

Abstract:

Currently, relatively limited selected-response tests are available to measure high school students' geometry knowledge. By adhering to Standards for Educational and Psychological Testing set by the American Educational Research Association (AERA et al., 2014), the current study seeks to develop an objective type of selected-response test for assessing 11-grade students' declarative knowledge of triangles, specifically definitions of types of triangles, congruent and similar triangles and identification of triangles and then determine the validity evidence for the test (DKTT) based on test content, internal structure, and reliability. Four factors emerged from using the Exploratory Factor Analysis (EFA) for the analysis of test dimensionality. These factors were named 'Identification of Triangles (Factor 1)', 'Definitions of Congruent and Similar Triangles (Factor 2)', Minimal Definitions of Types of Triangles (Factor 3)', and 'Non-minimal Definitions of Types of Triangles with Auxiliary Elements (Factor 4)'. The Cronbach's alpha and McDonald's omega coefficients for the entire test were 0.71 and 0.75, respectively. This test will contribute to thoroughly measuring the vi students' knowledge of definitions of types of triangles, congruent and similar triangles, and identification of triangles, measuring students' declarative knowledge of triangles