tag:blogger.com,1999:blog-1811268622721218650.post1041600964634783620..comments2010-08-07T15:27:39.170-05:00Comments on Challenge Math - SBISD GT Book Study: Session 3 - Question 1atxteacherhttp://www.blogger.com/profile/15216583790234498239noreply@blogger.comBlogger39125tag:blogger.com,1999:blog-1811268622721218650.post-20035067702530538292010-07-16T10:41:32.108-05:002010-07-16T10:41:32.108-05:00In response to both sluther and pkassir on 7/13 an...In response to both sluther and pkassir on 7/13 and 7/14, I agree with both of you regarding the pace with which GT students are learning math if they follow the GT math track starting in 6th grade. As a 5th grade teacher I am frequently asked by my GT parents whether their child should take GT Math or opt for Pre-AP instead. As pkassir said, there are very few instances of truly gifted math students that can process and move that quickly. Even if a student seems to have it at the time, I question how superficial an understanding they have and whether gaps will surface later as they take upper level math classes.susanmnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-69164222989549621482010-07-16T10:37:23.737-05:002010-07-16T10:37:23.737-05:00As a student I never found trigonometry to be that...As a student I never found trigonometry to be that interesting, unlike algebra and geometry. Perhaps it was because I had a teacher that didn't bring it to life the way it has been by Zaccaro. I think his initial explanation that trigonometry is like "magic" is an instant hook for any child learning from this material! We all like to think we are doing a little "magic", don't we? I also like the practical applications that Zaccaro explains can be solved using trigonometry. I think the student will see that trigonometry has relevance in this way. As before I continue to like the little cartoon characters' dialogue boxes because I can almost hear my kids asking questions and making comments such as these.susanmnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-76882830432096453572010-07-15T23:50:27.270-05:002010-07-15T23:50:27.270-05:00In response to sluther on July 13th, I agree abou...In response to sluther on July 13th, I agree about letting elementary GT students work with trigonometry instead of waiting till high school to tackle. Sometimes the GT student looses the thrill in math because they don’t get stimulate it beyond their capacity. They ask “’why should I learn this” who cares about a right or acute angle, I already know the geometry figures and I see them everywehere, so what? So by introducing a taste of trigonometry and liking it with 4th grade geometry and letting them see that it is more complex than what they think and how it could be use in the real world, it will light up a fire and nurture that mathematical gift they have.RCampananoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-39113436942137477502010-07-15T23:01:45.670-05:002010-07-15T23:01:45.670-05:00In response to Sadlok on July 15, I agree with you...In response to Sadlok on July 15, I agree with your response that “ I also think they'll enjoy this lesson because they have to combine new information to other information they've used, like a puzzle” allowing the student to experience “intellectual frustration”. The author makes the child remember the formula of the astronomy chapter about how fast the speed of light & sound travel to solve part of the problem and then using trigonometry like in the Einstein Level exercise 3 of page 187.RCampananoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-50857533474091378312010-07-15T22:21:41.889-05:002010-07-15T22:21:41.889-05:00I think GT students will like the way Zaccarro int...I think GT students will like the way Zaccarro introduces trigonometry because of how concise and challenging is the subject with all of its 3 formulas including the Trigonometry table that work like magic in bringing the answer of different real life problems like finding the distance of a ship from shore, the height of buildings, etc. He doesn’t give a drill of the same type of simple exercises, but just a sweet doze of beginning exercises to understand the formula and then it jumps to the real life math problems.RCampananoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-86295056046425937682010-07-15T21:33:02.015-05:002010-07-15T21:33:02.015-05:00In response to PKassir’s July 14th response to SLu...In response to PKassir’s July 14th response to SLuther, <br /><br />I agree that students are being rushed into Algebra I and Geometry in middle school and then struggle in high school. The high school teachers rarely feel that freshmen are ready for Algebra II. On occasion there is a truly gifted student that excels even as a freshman. When my G/T sister was a 7th grader, she and another G/T friend opted for the 2 year Algebra I class so they would have a good background in math going into high school. One of the math teachers absolutely ridiculed them for “taking the easy way out” and that their parents were making a huge mistake for letting them do that. Both G/T students went on to successful math careers in high school and both graduated from UT. The other student’s mother is a high level administrator here in SBISD- she knew exactly what she was doing encouraging her child to go deeper, not faster in math. I saw this issue a lot when I taught 1st grade. Sure, a 6 year old can memorize multiplication facts, but do they understand them?CKohlhttps://www.blogger.com/profile/12218582181573792567noreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-10619192328602957402010-07-15T21:30:16.971-05:002010-07-15T21:30:16.971-05:00I agree with ReneeR and PKassir in their responses...I agree with ReneeR and PKassir in their responses that the students would enjoy the history behind it, and be curious to learn more about it on their own. The real life applications could be something they could discover more about and share with their classmates.Sharon G.noreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-74950409467227639162010-07-15T21:27:31.068-05:002010-07-15T21:27:31.068-05:00In response to ndeans:
I agree with you about GT ...In response to ndeans:<br /><br />I agree with you about GT students enjoying the way trigonometry is being presented in this book. Using it in the real world as magic instead of math.Katie Kavanaghnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-56532632704734965102010-07-15T21:27:11.155-05:002010-07-15T21:27:11.155-05:00I really think that the kids will enjoy the way Za...I really think that the kids will enjoy the way Zaccaro introduces this section because it builds on prior information learned, but is kindof mysterious in the fact that they will want to try to prove if it works or not. I believe it would encourage alot of discussion to share ideas on if they believe it to work or not.Sharon G.noreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-31648057820240370862010-07-15T21:18:53.072-05:002010-07-15T21:18:53.072-05:00I think the students would like the way Zaccaro in...I think the students would like the way Zaccaro introduces the Trig section because he compares math to magic and gives useful, conceptual examples on how to use Trigonometry to solve real life problems.Katie Kavanaghnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-78177908309694262982010-07-15T20:33:49.969-05:002010-07-15T20:33:49.969-05:00This comment has been removed by the author.CKohlhttps://www.blogger.com/profile/12218582181573792567noreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-44929664621364831672010-07-15T20:25:29.470-05:002010-07-15T20:25:29.470-05:00Gifted students would like all of the background i...Gifted students would like all of the background information the author includes about trigonometry. The rules are absolute and never change. Students can also relate to the real world examples that the author includes to make learning more meaningful. If higher level information is broken down for younger gifted students to relate to, they are more inclined to understand it at a deeper level.CKohlhttps://www.blogger.com/profile/12218582181573792567noreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-77120535524879478782010-07-15T20:06:11.674-05:002010-07-15T20:06:11.674-05:00In response to MW:
The cartoon characters are sta...In response to MW:<br /><br />The cartoon characters are starting to grow on me the more I read the book. I think that the GT kids often have such a quirky sense of humor that enjoys puns and would enjoy these corny jokes more than the typical child.Kohlerjnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-38489633064971474042010-07-15T20:04:40.344-05:002010-07-15T20:04:40.344-05:00I think GT students would enjoy the interesting ex...I think GT students would enjoy the interesting examples of where trigonometry could be used. What I thought was even more interesting is that none of these problems would lead you to think of a triangle unless you had experience with trigonometry before. I wish that the author had gone back to these examples later in the section (as closure) to show pictures of how triangles and trigonometry could be used to solve these problems.Kohlerjnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-29180291121944841182010-07-15T18:23:06.940-05:002010-07-15T18:23:06.940-05:00In response to cynthiam on July 14th, I agree that...In response to cynthiam on July 14th, I agree that lighthearted approach makes content much more likable for kids. My GT kids love it when I say what they did is geometry, algebra, trigonometry, or calculus. Some are intimidated by the name of the study , but lighthearted approach definitely helps.SDawsonnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-10094152016590779722010-07-15T17:46:01.299-05:002010-07-15T17:46:01.299-05:00I agree with PKassir on July 8 that introducing hi...I agree with PKassir on July 8 that introducing historical facts grabs the attention of the GT students. I also agree that students do not have to wait until high school to use trigonometry. My gifted students will be excited to try something so challenging!ndeansnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-49832977301366690502010-07-15T17:40:22.225-05:002010-07-15T17:40:22.225-05:00I agree with ratliffb that trigonometry can be use...I agree with ratliffb that trigonometry can be used in so many ways. I think the GT kids will appreciate the usefulness of trigonometry and all the different ways it can be applied.ndeansnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-65312772489562643672010-07-15T16:56:21.649-05:002010-07-15T16:56:21.649-05:00My GT students would like the way the author uses ...My GT students would like the way the author uses real world examples to explain trigonometry. He introduces the concept using interesting examples like finding the height of a building or the distance from the Earth to the moon. I like the way he describes trigonometry being like "magic instead of math".ndeansnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-34592655331803983062010-07-15T14:17:22.490-05:002010-07-15T14:17:22.490-05:00I think GT learners will enjoy the chapter on Trig...I think GT learners will enjoy the chapter on Trig because they'll be introduced to numerous ways to apply its content to the world, which may really get them thinking about neat things they never thought of, or from an entirely new perspective. It will be fun to hear the questions they come up with. I also think they'll enjoy this lesson because they have to combine new information to other information they've used, like a puzzle.SadloKnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-38409027740773025312010-07-14T18:18:54.699-05:002010-07-14T18:18:54.699-05:00In response to ratliffb I think several strong poi...In response to ratliffb I think several strong points<br />were made that the GT student would identify with as well.<br />Especially all of the connections and background presented<br />would add to this.cynthiamnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-49778129875043910612010-07-14T18:13:07.616-05:002010-07-14T18:13:07.616-05:00I do think that gifted students would be
intrigue...I do think that gifted students would be <br />intrigued by the examples used that would involve<br />trig to solve them. Also the cartoon characters<br />add a lighthearted approach.cynthiamnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-88709094017326633582010-07-14T14:19:07.431-05:002010-07-14T14:19:07.431-05:00In response to NLopez on July 6th. I agree that in...In response to NLopez on July 6th. I agree that introducing trigonometry as magic that can be applied in various problems is very appealing for GT students. Later in the chapter where sine, cosine and tangent for 1-90degrees are given, GT kids would easily memorize commonly used angles in triangles such 30,60 or 40,50 and apply the "magic" mentally.SDawsonnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-52633982929187743892010-07-14T11:43:34.713-05:002010-07-14T11:43:34.713-05:00In response to MW's statement "The comic ...In response to MW's statement "The comic people are saying what they might be thinking so they are reassured that they will be able to understand"--That is a wonderful observation-- The students would be maore at ease asking questions for deeper understanding since the door is already opened by the comics.ReneeRnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-22596543286123888872010-07-14T11:32:03.797-05:002010-07-14T11:32:03.797-05:00In response to PKassir. I agree that the students...In response to PKassir. I agree that the students will be interest by the connections to historical figures. It is also a great way to integrate science (scientists) with math.ReneeRnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-2662417979294838402010-07-14T11:23:46.770-05:002010-07-14T11:23:46.770-05:00I think gifted students would like how the author ...I think gifted students would like how the author introduces Trigonometry because he compares it to magic which the children find very intriguing. The additional use of the cartoon characters would relly intrest almost any student.ReneeRnoreply@blogger.com