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Searching for Internet-of-Things Resources: Requirements and Outlook
Published in Yulei Wu, Haojun Huang, Cheng-Xiang Wang, Yi Pan, 5G-Enabled Internet of Things, 2019
Yulei Wu, Haojun Huang, Cheng-Xiang Wang, Yi Pan, Yasmin Fathy
Wolfram-Alpha is a computational knowledge discovery engine. It is based on Mathematica, which is often known as Wolfram Language (http://www.wolfram.com/mathematica/). The engine allows a user to register their own Internet-connected things such as Twitter, email, and Raspberry Pi.4 Each registered device/service has a unique “databin” and data are updated from each databin every 30 s.5The main shortcoming is that users can search and query resources if they know their databins. Moreover, Wolfram-Alpha has the Wolfram Data Framework (WDF) that summarizes and integrates data into a meaningful and expressive form.6However, information about its architecture and technical details is not available. We refer interested readers to a discussion on other IoT engines in [6,34].
Fostering collateral creativity through teaching school mathematics with technology: what do teachers need to know?
Published in International Journal of Mathematical Education in Science and Technology, 2022
Here, one has to recognize another pattern: regardless of the number of consecutive eliminations, the height of the second tower is always one greater than a power of two with the exponent being the number of eliminations. Thus 65–1 = 64 = 26, 1025–1 = 1024 = 210, and 2049–1 = 2048 = 211. Students, teacher candidates included, do appreciate the ease and power of computations provided by commonly available digital tools. One such tool is Wolfram Alpha – a computational knowledge engine developed by Wolfram Research and available free online. One only has to enter the command ‘2n+1, n = 1 … 11’ into the input box of the Wolfram Alpha to get the result shown in Figure 6. In the words of a teacher candidate, I was not aware of the Wolfram Alpha website, however, with the knowledge I now have of the website, I realize that this would have been a useful resource to use during my elementary, secondary, and post-secondary studies. Fortunately, I will now be able to use the Wolfram Alpha website when teaching my students, as well as to demonstrate to students how to use it for their own use whether that be at school, or at home.Indeed, as noted in the pre-digital era by Halmos (1975), ‘The best way to teach teachers is to make them ask and do what they, in turn, will make their students ask and do’ (p. 470). Nowadays, this recommendation about the importance of asking and doing, that is, the pedagogy of reflective inquiry (Dewey, 1933), takes on new didactical opportunities.