Individuals' perceptions or beliefs about their mathematical aptitude are commonly classified as mathematics self-efficacy. Conversely, metacognitive awareness is characterized as a phenomenon that presents itself in a variety of ways as people engage with objects and circumstances in their everyday lives. The objective of this quantitative research was to evaluate the reliability of a self-efficacy and metacognitive awareness test administered to 184 undergraduate university students. In completing tasks in mathematical reasoning, students clearly discriminated between their self-efficacy and metacognitive awareness. Self-efficacy demonstrated discriminant and convergent validity in these quantitative investigations, which conforms to the Bandura (1993) theory and contains three dimensions: course self-efficacy, test self-efficacy, and future self-efficacy. Metacognitive awareness shows discriminant and convergent validity, which relates to Flavell (1979) theory and contains six factors: procedural knowledge, declarative knowledge, conditional knowledge, monitoring, planning, and evaluation. The casual correlation approach was used in the research design to explore the influence of metacognitive awareness and self-efficacy on mathematical thinking. The Cronbach's alpha internal consistency reliability research demonstrated that the self-efficacy and metacognitive awareness instrument that was developed was exceptionally reliable and may be used by researchers to assess self-efficacy and metacognitive awareness among university students.
This study was conducted to analyze the degree of validity and reliability of an instrument to measure self-efficacy and metacognitive awareness of university students toward mathematics reasoning. A total of 184 respondent of a public university in Malaysia has been chosen to answer the instrument. Findings from Exploratory Factor Analysis (EFA) support three dimensions of self-efficacy and six dimensions of metacognitive awareness of students toward mathematics reasoning that has been conceptualized. The overall internal consistency reliability of Cronbach Alpha coefficients was above 0.9. Based on the analysis performed, it can be concluded that developed instrument has sufficient evidence of validity and reliability to measure self-efficacy and metacognitive awareness of university students toward mathematics reasoning.
This quantitative research aimed to measure the metacognitive awareness model toward mathematics reasoning among 184 university students. Metacognitive awareness demonstrates convergent, and discriminant validity was performed, which includes six factors: conditional knowledge, declarative knowledge, procedural knowledge, monitoring, planning, and evaluation. Data analysis was using exploratory factor analysis. The results indicated that Cronbach’s alpha coefficients demonstrated that metacognitive awareness was a reliable instrument researcher could use to evaluate university students’ mathematical reasoning abilities. This research analysis revealed that positive relationship between metacognitive awareness and mathematics reasoning among university students.
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