... physics and mathematics ( Bodin, 2012 ; Greca and de Ataíde, 2017 ; and Modir et al., 2017 ). Sherin (2001) presented a method for in-depth analysis on the way in which conceptual knowledge is applied in physical-mathematical modeling by introducing the notion of symbolic form. The symbolic...

... of the sciences where mathematics is needed. Trigonometry (Mathematical physics) Computational methods (Mathematical physics) Analytic geometry (Mathematical physics) Mathematical physics (Mathematical physics) Mathematical analysis (Mathematical physics) ...

... (1988) that not only deals with the interplay of visualization and mathematization for physics but also explicitly proposes a mechanism for how computer-based visualization tools provide an advantage for students during mathematization. diSessa (1988) , a scholar in education research who was early...

... and Pollock, 2014 ). Our proposal is that we can use the lens of computational literacy to rethink what a complete education in physics might look like if we were to rebuild it from the ground up today, using computation as a tool equal in importance to textbooks or standard mathematical methods. ³...

... and Koh, 1987 ; and Ross and Kennedy, 1990 ). At the same time, surface differences between problems with the same deep structure (and same solution schema) can also impede productive transfer of learned solution methods. In a study of transfer between mathematics and physics problem-solving contexts...

... of representation on students’ problem solving approaches,” in Proceedings of the Annual FMSERA Symposium ( Finnish Mathematics and Science Education Research Association , 2017 ). Viiri , J.   et al. , Challenges in Physics Education. Research and Innovation in Physics Education: Two Sides of the Same...

... to represent phenomena mainly using mathematical models and utilize law-based hypothetico-deductive inference, since these methods epistemically characterize physics as a discipline. Another question concerns how integration with other disciplines possibly influences the epistemic disciplinary norms and goals...

... University of Bahia, Salvador 40170-115, Brazil Dagmara Sokolowska Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, Krakow, Poland Stefan Sorge IPN—Leibniz-Institute for Science and Mathematics Education, 24118 Kiel, Germany Dimitrios J. Sotiropoulos European University...

... required for implementation. Moreover, mathematical knowledge is not the only obstacle. A proper application of CFD requires expertise in at least four knowledge domains ( Cummings and Morton, 2005 ): flow physics, numerical methods, computer programming, and experimental or theoretical validation...

... ), 020113 ( 2015 ). 10.1103/PhysRevSTPER.11.020113 Introduction Epistemic Artifacts Arguments Models Explanations Epistemic Forms Mathematical sensemaking The role of mathematics in physics Reasoning through and with mathematical representations Analogical reasoning Mechanistic reasoning...

... Pandemic COVID-19 Qhobela and Moru (2011) African Journal of Research in Mathematics, Science and Technology Education, v15 n2 p205–220 2011 Learning Physics through Argumentation at Secondary School Level in Lesotho: A Feasible Teaching Strategy? Fakudze (2021) South African Journal...

... Conference Proceedings, Provo, UT (AAPT, 2020 ). Pospiech , G.   et al. , Mathematics in Physics Education ( Springer Nature , Cham , 2019 ). Prosser , M. , Sci. Educ.   63 ( 5 ), 677 – 683 ( 1979 ). 10.1002/sce.3730630513 Purysheva , N. S. and Isaev , D. A. , J...

... Physics and Chap. 9 in IHPER: Teaching Physics directly address some of the goals listed in the second bullet, scientific and technical skills. In addition, all of the chapters that describe research and development on using computation and technology (primarily in Sec. III of IHPER: Learning...

...-dimensional fields (e.g., material, physics, mathematics, control, and engineering). Toward Better Photovoltaic Systems aims to provide a compilation of recent advances and progress in the study of PV systems that systematically addresses the challenges by introducing state-of-the-art methods...

... . Therefore, designers needed a flexible and reliable tool to accurately predict the power generated by PV arrays of different sizes, The mathematical battery model used in SAPV systems is shown in Table 1.2 . FIG. 1.5 Sizing methods of the off-grid SAPV system ( Ridha et al., 2021 ). Table 1.2...

... ^{b a} Proceeding. ^b Article. FIG. 1.4 Number of indexed publications in searched databases. FIG. 1.6 The data sources and tools in the studies. FIG. 1.5 Methods employed in physics education related TPACK studies. FIG. 1.1 Number of journal articles...

... of an overarching definition. To overcome the first pitfall, we outlined methods such as macroscopic force analogies and computational realizations (e.g., of micro-level electrostatic interactions) for “releasing” these core concepts from their physics boundedness. For the second pitfall, we claimed that defining...

.... Digital physics textbooks installed on personal computers make possible one-click connections with related, internet-based learning environments such as virtual laboratories, simulations, interactive videos, and intelligent tutors. These environments enhance students' active participation in intra...