1 Journal for Diane Swaney Monday (June 2, 2003) 1) What are your thoughts and feelings about the mathematics content, openended nature of the investigations, and the use of technology for learning? The content that has been presented so far seems understandable. I feel a little uncomfortable about having to prove the conclusions that I come to. I do know that in my own teaching I need to leave a lot more items open-ended so that my students can learn more through exploration rather than just being told certain things. I do, however, feel a bit frustrated about not knowing the basics of the macs. 2)* Describe any mathematical concepts that were unfamiliar to you today. I need to know more about the basics that Dr. Wilson spoke of…like constructing parallel lines, constructing midpoints and different things on GSP. 3)* How could geometry sketchpad be used to enhance your classroom teaching of geometry? I think it would be nice to use geometry sketchpad to let students do more exploration of math problems rather and create their own learning. * The teacher educators will be updating those prompts daily themselves 2 4) Other insights and critical learning incidents. I would rather see and learn in steps rather than listen for several hours, then be expected to do it all and remember it all. I am more of a hands-on learner. Tuesday (June 3, 2003) 1) What are your thoughts and feelings about the mathematics content, openended nature of the investigations, and the use of technology for learning? I feel MUCH BETTER and a lot less frustrated about today’s events. I feel more comfortable with the software and more comfortable with how to write up investigations. I am still trying to overcome my fear of proving an investigation “the wrong way” , not being thorough enough, or using the wrong terminology. 2)* Compare the use of compass and straight edge with the use of GSP? I feel like it is easier sometimes to use a compass and straight edge rather than GSP, but the GSP is definitely a lot more thorough and accurate. However, the students will like the technology and they will think that it is cool that you can move angles and points to investigate how things change when you move them. True. I would like for students to maybe use them at the same time. 3)* In terms of learning, in response to question number 2, which one of the following do you believe is more useful for you students learning geometric concepts: paper and geometric instruments or GSP. Explain. Assume that you are an expert on the use of GSP. I think GSP facilitates more investigation because once you have figures set up, you can move, animate, and see measurements change and “play” with them. * The teacher educators will be updating those prompts daily themselves 3 When you have drawn figures by hand you have to manipulate them by redrawing and ultimately it takes a lot less time to create your own learning with GSP than it does if you are creating by hand. 4) *Have you explored using open-ended questions for your students in the future using GSP? Explain why or why not? I have explored it. Several of the items that I am going to create for use in my classroom will be linked to GSP files so that they can do the exploration themselves and then come up with their own conclusions. Wednesday (June 4, 2003) 1) What are your thoughts and feelings about the mathematics content, openended nature of the investigations, and the use of technology for learning? I am enjoying the mathematics content…sometimes I feel like it is a little over my head or that it goes a little fast. However, I take notes and catch up later. The technology is great. I love the way you can (or the lecturer) can manipulate things on screen and do instant investigations when people have questions. However, it looks like it would take a lot of practice to avoid any and all problems with the technology as seen during some of our investigations. I do think that it proves that it is o.k. to mess up, and that makes it a lot less threatening. 4 2)* What did you learn from the GSP approach to parabolas, ellipses and hyperbolas? I learned the geometric approach to why there are parabolas, ellipses, and hyperbolas in the real world. I need these real world examples for when I teach it algebraically to my students and I need to be able to show a different and visual approach to why we should investigate algebraically. 3)* What do you think about the points that make up Euler’s line in terms of your investigation using the GSP? 4) Other insights and critical learning incidents. I really like my group and my teacher educators…but Big Sammy needs to talk more. Walter seems nice and helpful, but I would rather call him Wally. Thursday (June 5, 2003) * The teacher educators will be updating those prompts daily themselves 5 1) What are your thoughts and feelings about the mathematics content, openended nature of the investigations, and the use of technology for learning? While the open-ended investigations took a while to get used to at the beginning, I am beginning to get used to them. I think that I am a little too dependended on “hints” that I get from more mathematically advanced, but at least it helps me get it done! 2)* How has your view of the class changed over the week? I think that I am getting a lot more used to the teaching methods that Dr. Wilson employs and I can appreciate the fact that he is trying to juggle several different tasks during this week. Now that I am beginning to be somewhat proficient with the software, I am able to begin to think about how I can incorporate it into lessons and write-ups that I will actually use in my classroom. 3)* insert personal question for your team here I would like to thank Big Sammy for being so helpful today. It is very nice to have his insight when I am working on the hard things that Dr. Wilson makes us think about. I would also like to know where Big Sammy is from originally. 4) Other insights and critical learning incidents. I really liked using the graphing calculator and seeing all of the different uses for that. I would like to see more cross-over between GSP and the graphing calculator. * The teacher educators will be updating those prompts daily themselves 6 Friday (June 6, 2003) 1) What are your thoughts and feelings about the mathematics content, openended nature of the investigations, and the use of technology for learning? 2)* insert today's general prompt here 3)* insert personal question for your team here 4) Other insights and critical learning incidents. * The teacher educators will be updating those prompts daily themselves 7 Sometime during the Summer… 1) What are your thoughts and feelings about the mathematics content, openended nature of the investigations, and the use of technology for learning? 2) Other insights and critical learning incidents. After the site visit 1) What are your thoughts and feelings about the mathematics content, openended nature of the investigations, and the use of technology for learning? 2) Other insights and critical learning incidents. 8