... with mathematical elements and structures that are used in physics education already at the secondary school level. While the specific frameworks stem from the analysis of observed students' strategies in solving physics problems, the three external frameworks draw on general cognitive theories. In order...

... 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) ...

... 12.87 Table 7.2 Examples of VRs and their analysis. Physics Mathematics VRs Analysis VRs Analysis (Physics1) Context Physical meaning: everyday life. Genre Photography: everyday life instances (Math1) Context Physical meaning: everyday...

... the resource letter from Euler et al. (in preparation) . Tracker is a free video-analysis and modeling tool built on the Open Source Physics engine. ³ Users of Tracker can have the motion of objects mathematized by marking the position of those objects at key video frames...

... of transfer of some problem-solving strategies from physics to other contexts were found on the area items (e.g., dimensional analysis), indicating a possible PFL type of transfer ( Ivanjek et al., 2016 ). Both mathematics and physics should work more on establishing links between common concepts...

... and other areas 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) Preface Modern natural...

... through the Pictorial Analysis game or using an initial physical description to generate a mathematical description through the Mapping Meaning to Mathematics game. However, other epistemic games more explicitly model how students make sense of the formal physical concepts and equations...

... tool to understand a physical object, use of a physical tool to understand a mathematical object, and use of a physical tool to understand a physical object (note that the latter mode is not mathematical sensemaking). Based on their analysis of the associations between modes of mathematical...

... and technology consultants in institutes, laboratories, R&D companies, manufacturing, and production factories will all find this a useful resource. Energy model (Energy) Power electronics (Electronics) Complex systems theory (Mathematical physics) Solar cells (Energy) Energy production transmission...

... ). Through content analysis of physics textbooks from a mathematical perspective, it was found that common texts used for physics instruction tended to emphasize adding up pieces and procedural representations over the perimeter and area ( Başkan Takaoğlu, 2018 ). However, this integration is actually...

... of the composition, i.e., various energy sources, different energy storage systems, and distinct energy conversion devices. At present, various optimization methods including pinch analysis-based methods, mathematical programming-based methods and software-based methods have been developed for the optimal design...

... of the physics of Pan's flute. They concentrate on the relationships between fluids and musical instruments' functioning and present an innovative and somewhat atypical way to introduce undergraduate students to the study of fluids. The use of both mathematics and music makes Nita and Ramanathan's approach...

... in physics? Should computation simply be used as an aid for graphing, data analysis, visualization, and mathematical problem-solving? Should students have acquired enough computational literacy to write basic simulations and analyses on their own? Or do we intend to train fully computationally literate...

.... , Mathematics in Physics Education , edited by G.   Pospiech   et al. ( Springer , Cham , 2019 ), pp. 127 – 151 . Ericsson , K.   et al. , Psychol. Rev.   100 ( 3 ), 363 – 406 ( 1993 ). 10.1037/0033-295X.100.3.363 Eylon , B. and Reif , F. , Cognit. Instruct.   1 ( 1 ), 5...

... Systems I ( OEDB , Athens , 2009 ). Antoniou , C.   et al. , Physics, 3rd Year of Lower Secondary School ( OEDB , Athens , 2010 ). Aslan , O. and Taşar , M. F. , Educ. Sci./Egitim ve Bilim   38 ( 167 ), 65–80 ( 2013 ). Baldinger , E. E.   et al. , Integrated...

.... , and Sowmya , R. , “ Mathematical modelling of solar PV cell/panel/array based on the physical parameters from the manufacturer's datasheet ,” Int. J. Renewable Energy Dev.   9 ( 1 ), 7 – 22 ( 2020b ). 10.14710/ijred.9.1.7-22 Qais , M. , Hasanien , H. , and Alghuwainem , S...

... of the presentation of modeling stages in physics problem solving: Simplifications of the problem (Conceptual model building); Visualization based on models of objects and interactions, Formulation of the mathematical model, Analysis of the mathematical model leading to the model results (solutions) and Validation...

.... Educ. Res.   11 , 020122 ( 2015 ). 10.1103/PhysRevSTPER.11.020122 Leinonen , R. , Ph.D. dissertation ( Department of Physics and Mathematics, University of Eastern Finland , 2013 ). Lewis , E. L. , Ph.D. dissertation ( University of California , Berkeley , 1991 ). Lewis...