In this problem we deal with the question of uniqueness of the solution of the integralequation (3)(t) =t0f[s, (s)] ds.(a) Suppose that and are two solutions of Eq. (3). Show that, for t 0,(t) (t) =t0{f[s, (s)] f[s, (s)]} ds.(b) Show that|(t) (t)| t0|f[s, (s)] f[s, (s)]| ds.(c) Use the result of to show that|(t) (t)| Kt0|(s) (s)| ds,where K is an upper bound for |f /y| in D. This is the same as Eq. (30), and the rest ofthe proof may be constructed as indicated in the text.2.
Educational Technology ● Definition: The effective use of technological tools in learning. As a concept, it concerns an array of tools, such as media, machines and networking hardware, as well as considering underlying theoretical perspectives ● Poll Everywhere: Students can use their phones or computers to communicate in polls with peers and teachers ● Tpack (Technological in education: Theoretical Framework that guides the proper use of technology to improve learning ● 5 benefits of Tech in Education ○ Future oriented ○ Helps learning become interesting ○ Improves 21st century technology skills ○ Helps increase collaboration ○ Reduces weight on teacher ● Impact of poor classroom management ○ Longer time grading ○ Easier to burn out ● The Light Bulb Moment ○ In order to survive… ○ The need to know the capital of Florida died the moment I realized I could easily find it on my phone. ● How I adapted ○ Beg, Borrowed, and Steal ○ Fixed ○ Begged PTA to buy equipment ○ Major suckup to the bookeeper ○ Joined professional learning group ● Paperless Classroom ● Reflection ○ Reflecting on your practice is critical ● Innovative Teaching and Technology Lab ○ A service offered by the College of Education ○ GoalProvide teacher candidates with access to technology ● Technology Workshop at The University of Alabama ○ 305 Graves ○ April 11 1pm ○ April 13 10am ○ April 14 1pm ● Digital Stories ○ The practice of using computerbased applications ○ Prezi ○ Google classroom ○ PIXLR ○ Sketch Pad ○ Audacity ○ Soundation Studio ○ Google Photos ○ PiZap ○ Sumo Paint ○ PowToon ○ Fakebook ○ The LiveText Guy ○ Blogger ○ WordPress ○ Easily ● Assignment ● Alabama State Initiatives, give personalities ○ Due Friday, April 29th Educational Technology ● Definition: The effective use of technological tools in learning. As a concept, it concerns an array of tools, such as media, machines and networking hardware, as well as considering underlying theoretical perspectives ● Poll Everywhere: Students can use their phones or computers to communicate in polls with peers and teachers ● Tpack (Technological in education: Theoretical Framework that guides the proper use of technology to improve learning ● 5 benefits of Tech in Education ○ Future oriented ○ Helps learning become interesting ○ Improves 21st century technology skills ○ Helps increase collaboration ○ Reduces weight on teacher ● Impact of poor classroom management ○ Longer time grading ○ Easier to burn out ● The Light Bulb Moment ○ In order to survive… ○ The need to know the capital of Florida died the moment I realized I could easily find it on my phone. ● How I adapted ○ Beg, Borrowed, and Steal ○ Fixed ○ Begged PTA to buy equipment ○ Major suckup to the bookeeper ○ Joined professional learning group ● Paperless Classroom ● Reflection ○ Reflecting on your practice is critical ● Innovative Teaching and Technology Lab ○ A service offered by the College of Education ○ GoalProvide teacher candidates with access to technology ● Technology Workshop at The University of Alabama ○ 305 Graves ○ April 11 1pm ○ April 13 10am ○ April 14 1pm ● Digital Stories ○ The practice of using computerbased applications ○ Prezi ○ Google classroom ○ PIXLR ○ Sketch Pad ○ Audacity ○ Soundation Studio ○ Google Photos ○ PiZap ○ Sumo Paint ○ PowToon ○ Fakebook ○ The LiveText Guy ○ Blogger ○ WordPress ○ Easily ● Assignment ● Alabama State Initiatives, give personalities ○ Due Friday, April 29th
