{"title":"The Discretized Momentum Operator","authors":"T. Boykin","doi":"10.1142/S2661339519200038","DOIUrl":"https://doi.org/10.1142/S2661339519200038","url":null,"abstract":"Discrete versions of continuous models are central to numerical calculations in physics and engineering. A very common problem in setting up a discrete model is how to handle derivatives. There are, for example, three common approximations for the first derivative, and each embeds different properties in the discrete model. Discretizing continuous expressions simplified using rules of calculus is especially problematic, since many different discretizations can stand for the same continuous expression depending on the stage of simplification at which the discretization is carried out. The problems are resolved by requiring that the discrete model satisfies discrete versions of the properties satisfied by the continuous original. We illustrate by using some examples from undergraduate-level one-dimensional quantum mechanics.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124444377","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Youth Engaging Almustafa: Cross-Generational Interactions in “Science, Technology, and Society” Education","authors":"F. Dyson, D. Neuenschwander","doi":"10.1142/S2661339519200014","DOIUrl":"https://doi.org/10.1142/S2661339519200014","url":null,"abstract":"Both nature and the human species are constantly evolving. Neither could survive without the creative force of evolution to overcome disasters and replace worn-out parts — Freeman Dyson.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"125 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115066249","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
J. Tan, H. W. Ang, Soo-Kyung Bae, J. H. Sim, K. Chong, Melissa Fann, Lucas Wei-Jie Ho, Nicholas Xianhui Cai, Y. Seow, Daryl Zhizhang Li, Fathima Raiza Ahmed Rifaaie, Hui Li Koh, W. Zhang, Anne Suet Lin Chong, Ting Ting Kuah, K. Seah, H. Leong, Kok Hoe Chan, Yan Tan, Huang Hoon Chng, John Holbo, Aik Hui Chan
{"title":"Ising Model and Its Application to Modeling Learning Environment","authors":"J. Tan, H. W. Ang, Soo-Kyung Bae, J. H. Sim, K. Chong, Melissa Fann, Lucas Wei-Jie Ho, Nicholas Xianhui Cai, Y. Seow, Daryl Zhizhang Li, Fathima Raiza Ahmed Rifaaie, Hui Li Koh, W. Zhang, Anne Suet Lin Chong, Ting Ting Kuah, K. Seah, H. Leong, Kok Hoe Chan, Yan Tan, Huang Hoon Chng, John Holbo, Aik Hui Chan","doi":"10.1142/S2661339519500070","DOIUrl":"https://doi.org/10.1142/S2661339519500070","url":null,"abstract":"A modified Teaching-Learning in Classroom (TLC) theoretical model is presented in this paper. It describes the general learning process of undergraduates in NUS in the context of the GEQ1000 module offered by the Office of Provost. The results of the simulations are within the range of expectations, such that in general, the students’ knowledge level increases over the course of a 13 weeks module. GEQ1000 is a compulsory module taken by all NUS first year students ([Formula: see text]2800 per semester).","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"12 7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131185944","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Symmetrical Parabolic Approximation in College Physics","authors":"B. Davis","doi":"10.1142/S2661339519500094","DOIUrl":"https://doi.org/10.1142/S2661339519500094","url":null,"abstract":"Complicated functions appearing in physics are frequently simplified by a symmetrical parabolic approximation for obtaining useful results. The symmetrical parabolic approximation is employed in many different problems in a first year college physics course. Some examples of this approximation are explored in this article. With the aid of Hamilton’s equations it is shown that the classical formula for the kinetic energy of a particle is a symmetrical parabolic approximation for the more general relativistic formula.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130823628","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Alternative Learning Gain Based on the Rasch Model","authors":"H. Nitta, Takuya Aiba","doi":"10.1142/S2661339519500057","DOIUrl":"https://doi.org/10.1142/S2661339519500057","url":null,"abstract":"Using the Rasch model for the pretest–posttest analysis, a learning gain, the “Rasch gain”, is introduced as the simple difference of the estimated ability parameter for students. It is shown that, although the Rasch gain strongly correlates with the normalized learning gain introduced by Hake, the Rasch gain has advantages over the Hake gain as a scientific measure.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"303 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124328475","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Visualizing Light Rays Using Fluorescence","authors":"Wai Chan, Shiu Sing Tong","doi":"10.1142/S2661339519500069","DOIUrl":"https://doi.org/10.1142/S2661339519500069","url":null,"abstract":"We present a simple and effective experimental setup to help students visualize light rays in optics experiments. When illuminated by a blue-violet laser pointer (typical wavelength [Formula: see text][Formula: see text]nm), tonic water and phosphorescent paper show fluorescence which allows the laser beam to be clearly seen by a large audience under normal ambient lighting. The setup is particularly useful for conducting classroom demonstrations on the reflection, refraction and diffraction of light. Quantitative measurement is also possible, e.g. students can attach a transparent scale to the phosphorescent paper or container holding the tonic water, and perform a quick verification of Snell’s law and the diffraction formula [Formula: see text]. The appeal of the visualization of light beams in multiple total internal reflections and retroreflection could help teachers introduce technological applications such as optical fibers and retroreflectors in road signs. A simple but interesting experiment of scattering laser light to form a light cone in a medium is shown using the fluorescence method. Redoing or modifying other innovative optics experiments using the fluorescence method is also discussed.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133871961","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. Yang, S. Ng, Q. Leong, M. Tan, P. Agarwal, Z. Ong, H. W. Ang, A. H. Chan
{"title":"Practical Astronomy Education at the National University of Singapore (NUS)","authors":"A. Yang, S. Ng, Q. Leong, M. Tan, P. Agarwal, Z. Ong, H. W. Ang, A. H. Chan","doi":"10.1142/S2661339519500045","DOIUrl":"https://doi.org/10.1142/S2661339519500045","url":null,"abstract":"Singapore is not known for astronomy research. However, the interest in astronomy has grown since the 1990s, when more educational institutions and observatories were built to equip students with the skills and knowledge in astronomy. The National University of Singapore (NUS) currently has a strong and rigorous astronomy and astrophysics programme that leads to an astrophysics specialization within the physics B.Sc. degree as well as four general education modules in astronomy and astrophysics. As experimental data is the final arbiter of any scientific theory, we emphasize the practical aspects of astronomy in this programme. We also have a state-of-the-art observatory equipped with a robotic telescope and a planetarium for tutorials. This paper outlines the philosophy, pedagogy and approach of how our NUS team has achieved a very successful undergraduate astronomy and astrophysics for aspiring Singaporean youth.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124943893","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Physics of Railway Signalling","authors":"B. Tan","doi":"10.1142/S266133951950001X","DOIUrl":"https://doi.org/10.1142/S266133951950001X","url":null,"abstract":"Railway signalling technology can provide real-world illustrations of a number of key physics concepts, making them more interesting to physics students.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132580466","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Learning How to Learn is More Than Learning","authors":"R. Mota","doi":"10.1142/S2661339519500021","DOIUrl":"https://doi.org/10.1142/S2661339519500021","url":null,"abstract":"This paper addresses the importance of independent learning and how to educate people to a world where innovation is becoming more central and related to digital technologies. The five socio-emotional factors, associated with the metacognitive skills, which directly interfere in the learning processes, are described. In particular, the Learning Analytics is emphasized as the methodology that enables educators to make decisions by taking into account systematic and elaborate analyses of learners’ data and the educational contexts in which learning develops. The set of characteristics referring to the educational demands associated with the so-called “shallow works” are presented, as well as the main characteristics associated to the “deep works”. As a main conclusion, in this panorama in which innovation is strategic to meet the new educational requirements, learning how to learn is demonstrated to become more important than “just” learning.","PeriodicalId":112108,"journal":{"name":"The Physics Educator","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122407639","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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