The Influence of Epistemic Views About the Relationship Between Physics and Mathematics in Understanding Physics Concepts and Problem Solving

Investigation of Learning Behaviors and Achievement of Simple Pendulum for Vocational High School Students with Ubiquitous-Physics App

“…Conceptual understanding of physics is necessary for learning and becomes a critical part of solving problems related to physics phenomena. It is crucial for students to understand not only physics concepts and mathematics concepts separately but also relationships between physics and mathematics concepts in creating efficient learning (Greca & de Ataíde, 2017). Besides, Conceptual understanding is students' ability to summarize and construct or reconstruct their concept of learning material.…”

“…The ability to apply and calculate formulas in physics learning can improve students' concepts and knowledge through applying what they discovered in authentic context as well as scientifically communicating with others (Lin, Liang, & Tsai, 2015). It is essential for students not only to comprehend physical and mathematical concepts independently but also understand the correlation between physical and mathematical for active learning (Greca & de Ataíde, 2017).…”

The connection between mathematics and physics from the aspect of reasoning based on proportions and errors in the conclusion

“…If we look at the separated abilities, we can notice their clear application in the teaching of physics within the computational and experimental assignments. At higher levels of education, the need to describe the physical phenomena or solve problems requires both the understanding of theory and its mathematical formulation (Greca, de Ataíde, 2017). Greca and Moreira in their work cite the scheme of the connection between the mathematical, physical and mental models necessary for understanding physical phenomena (Greca, Moreira, 2002).…”

“…Greca and Moreira in their work cite the scheme of the connection between the mathematical, physical and mental models necessary for understanding physical phenomena (Greca, Moreira, 2002). If the student understands how physics is related to mathematics in the construction of concepts, she/he will have a more appropriate image of the use of the mathematical models for physics (Greca, de Ataíde, 2017). Uhden and Pospiech underline the importance of the connection between mathematics and physics because of the significant impact on the cognitive development of students and knowledge transfer (Uhden, Pospiech, 2010).…”

“…Dirac emphasizes that the physicist, in his study of natural phenomena, has two methods of making progress: (1) the method of experiment and observation, and (2) the method of mathematical reasoning (Dirac, 1940). According to Greca, de Ataíde (2017), Paty highlights three forms of mathematics to be used in the construction of physical knowledge. The first form is the analog vision, which is related to kinematics.…”