tag:blogger.com,1999:blog-1811268622721218650.post4280479828845329751..comments2010-08-07T15:27:39.170-05:00Comments on Challenge Math - SBISD GT Book Study: Session 3 - Question 2atxteacherhttp://www.blogger.com/profile/15216583790234498239noreply@blogger.comBlogger31125tag:blogger.com,1999:blog-1811268622721218650.post-86648342166526931812010-07-16T10:57:12.982-05:002010-07-16T10:57:12.982-05:00I agree with MW on 7/8 and nlopez on 7/11 about st...I agree with MW on 7/8 and nlopez on 7/11 about students frequently wanting to go for the outlandish or extreme explanations sometimes rather than for the simple one that's right under their noses. And of course I agree with many including sluther, nlopez, reneer, and others about the important connections to be made between probability and fractions...I find that students that have difficulty understanding fractions often also struggle with probability. Likewise, those students that understand fractions seem to build their understanding even further by using them to work with probability.susanmnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-21121633255135310422010-07-16T10:50:47.094-05:002010-07-16T10:50:47.094-05:00I had several ah-ha's. I really enjoyed the c...I had several ah-ha's. I really enjoyed the chapter on probability. I find probability to be a very interesting topic, and I think it can also be fun and motivating for students. I use tree diagrams frequently for teaching combinations, and I love the way that it has been extended to probability such as on page 199. I also enjoyed the information regarding mean, median, range and mode on pages 212-214. I am always looking for new ways to present this information and help my students to remember these terms once and for all. I find it interesting that on page 223, Zaccaro uses the word "factor" to refer to what we would typically consider "variable".susanmnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-71295188012303148342010-07-15T23:42:13.907-05:002010-07-15T23:42:13.907-05:00.One of My “Golden Nugget” moments was on page 1....One of My “Golden Nugget” moments was on page 199 about the Tree diagrams or multiplying ot determine probabilities. I really enjoyed how the author explains this concept and the problems it uses. <br />An “aha” moment is that I had forgotten in how many ways you could use trigonometry. I could problaby use this book as a quick set with my 4th graders to stimulate their brains and to think further than just the numbers/answers.RCampananoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-27697076934469834042010-07-15T21:44:21.565-05:002010-07-15T21:44:21.565-05:00I agree with nlopez and ReneeR's comments abou...I agree with nlopez and ReneeR's comments about the connection between probability and fractions helping students internalize these concepts more. I think that if they have a solid foundation of fractions- then probability will be much easier for them to understand.Sharon G.noreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-91961516524945596822010-07-15T21:34:34.851-05:002010-07-15T21:34:34.851-05:00My aha moment was when reading about Chapt. 14 pag...My aha moment was when reading about Chapt. 14 pages 211-213 referring to mean, median and range. These are always so confusing to keep track of for kids, and I really like the way they are explained. I believe if I present these concepts like Zaccaro did then the kids will truly understand them better.Sharon G.noreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-82870670236997531162010-07-15T21:29:11.721-05:002010-07-15T21:29:11.721-05:00In response to PKassir:
I completely agree with y...In response to PKassir:<br /><br />I completely agree with you when you said you wished you had this book when you were learning the material. The way Zaccaro presents the information is useful, quirky and fun and I think it would have made high school math much more enjoyable.Katie Kavanaghnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-73321902976956805562010-07-15T21:24:44.161-05:002010-07-15T21:24:44.161-05:00I really enjoyed the chapter on probabilities. Mo...I really enjoyed the chapter on probabilities. More specifically, the information on pages 197-198 on adding probabilities and then the tree diagrams on pg. 199 for multiplying them. It has been so long since I have seen this type of math, but it was so much easier to follow than the way I learned in high school!Katie Kavanaghnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-88894138422858623142010-07-15T21:10:06.118-05:002010-07-15T21:10:06.118-05:00In response to NDeans on 7/15, I too liked the aut...In response to NDeans on 7/15, I too liked the author's explanation of the statistical terms. I really thought that after learning about these terms, gifted students can deeply analyze data. This is an area that they could really grow intellectually!CKohlhttps://www.blogger.com/profile/12218582181573792567noreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-84839606625981738532010-07-15T20:49:30.164-05:002010-07-15T20:49:30.164-05:00My “Ah-Ha” was how deep students can go into proba...My “Ah-Ha” was how deep students can go into probability and statistics. I loved the statistics information on page 212 where they have to analyze the data to determine mean, median, mode, range, and frequency. This is a great concept that G/T students can dig very deep into because it isn’t introduced in my grade level.CKohlhttps://www.blogger.com/profile/12218582181573792567noreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-23369642294102169012010-07-15T20:12:53.759-05:002010-07-15T20:12:53.759-05:00In response to SDawson:
I agree with you about th...In response to SDawson:<br /><br />I agree with you about the author's inclusion of scientific evidence. I like that the author also uses examples where miscalculations can have devastating results (Challenger) or lead to great discoveries (sanitation during cholera epidemic).Kohlerjnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-9032841163777678412010-07-15T20:10:15.603-05:002010-07-15T20:10:15.603-05:00I had a couple of thoughts when reading these sect...I had a couple of thoughts when reading these sections:<br /><br />1) I really liked the discussion of Occam's Razor included on pages 230+. Several of the questions allow students to journal what they think could have happened. This is a great way to integrate their creativity, logic skills, and focus on writing skills as well.<br /><br />2) pg. 194. After teaching probability many times, I find one of the hardest concepts for students to understand is the number of outcomees for rolling two dice. Unless students see the list of 36 outcomes, they also answer that there are only 12 outcomes. I was somewhat dismayed that the author accepts as fact the 36 outcomes without going into a discussion of why. Even GT students benefit from making a list or creating a tree diagram on this concept.Kohlerjnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-58874191590888718612010-07-15T18:30:28.136-05:002010-07-15T18:30:28.136-05:00In response to Tatumt on July 10th, I too find the...In response to Tatumt on July 10th, I too find the average speed calculation with the blocks. It sure make sense and will definitely help GT children understand speed, time and distance relationship from a different perspective.SDawsonnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-74442549197339980952010-07-15T17:22:04.089-05:002010-07-15T17:22:04.089-05:00I like the way that the author explains the use of...I like the way that the author explains the use of median and range on page 213. He explains that if a range of numbers is too large your data will not be useful. He also explains that you need to determine what measurements of data would be useful and you don't always have to do all six for each set of numbers. We usually teach all of them, but don't really explain which would be useful for the data that is being analyzed.ndeansnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-90402572003888559772010-07-15T14:30:49.830-05:002010-07-15T14:30:49.830-05:00My "A-HA" moment was in reading chapter ...My "A-HA" moment was in reading chapter 14's (pgs. 210-233) lesson on statistics. I appreciate how simple Zaccaro's explanations are, espcially difficult topics like prediction by samples, statistical significance, experimental bias, and occam's razor.SadloKnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-43035686738446900792010-07-14T18:04:09.123-05:002010-07-14T18:04:09.123-05:00In response to ReneeR, i agree that p. 197-200 giv...In response to ReneeR, i agree that p. 197-200 give clear <br />examples and added to the simplicity. Oh, to have had this book<br />when i needed it in the past would have been great!!cynthiamnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-22251960867468827522010-07-14T17:49:41.022-05:002010-07-14T17:49:41.022-05:00My biggest AHA moment was on page 202 when it show...My biggest AHA moment was on page 202 when it shower the<br />strategy for figuring out the probability of something not happening<br />and then subtracting that answer from 1 to get the probability<br />of sonething happening. I had never seen this strategy explained <br />before this reading.cynthiamnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-49642281805666808362010-07-14T14:26:41.560-05:002010-07-14T14:26:41.560-05:00In response MW on July 8th, I agree that using fre...In response MW on July 8th, I agree that using frequency tables and using relative frequency in decimal form is a great way to make predictions. I was thinking, changing relative frequency to percents can also be used to show parts of a whole and reinforce percent concept.SDawsonnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-39970506350715283242010-07-14T13:30:20.944-05:002010-07-14T13:30:20.944-05:00In response to Tatumt and Ratliff-I agree that bre...In response to Tatumt and Ratliff-I agree that breaking the speed down into blocks is great way to do this problem. Once again, model drawing simplifies a difficult concept.ReneeRnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-91468042329659151642010-07-14T13:11:26.107-05:002010-07-14T13:11:26.107-05:00In rsponse to nlopez--I also love relating probabi...In rsponse to nlopez--I also love relating probability to fractions. It really helps the student internalize the concepts.ReneeRnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-76873420620435944792010-07-14T13:06:09.738-05:002010-07-14T13:06:09.738-05:00My ah-ha moment was in the probability chapter. Th...My ah-ha moment was in the probability chapter. The simplicity that the author uses (pg 197,200) to combine and multiply the conversions is great. Very easily understood.ReneeRnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-20427410348343443192010-07-13T23:05:40.139-05:002010-07-13T23:05:40.139-05:00My "A-Ha" moments were on pages 223 to t...My "A-Ha" moments were on pages 223 to the end of Statistics Chapter 234. I really liked the way author explained concepts of "Statistically Significant", "Experimental Bias" and "Occam's Razor". The way he relates statistics to scientific thinking and perplexing events is very impressive.SDawsonnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-31565483231201340132010-07-13T14:20:41.878-05:002010-07-13T14:20:41.878-05:00In response to Ratliff on July 13th. I agree with ...In response to Ratliff on July 13th. I agree with your pg 238- Different Kind of Average Speed. I too thought this was really interesting and I had never thought about finding the average speed of two different speeds to solve the problem. I did several problems in this section that made this work so much easier!sluthernoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-28687150411360287892010-07-13T13:34:25.499-05:002010-07-13T13:34:25.499-05:00In response to Tatum...
I, too, liked how he broke...In response to Tatum...<br />I, too, liked how he broke down the average speed down into blocks. The visual does help make it easier to understand the concept.ratliffnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-37425658374652602782010-07-13T13:32:49.719-05:002010-07-13T13:32:49.719-05:00I really enjoyed Chapter 13 pg 191. The chapter on...I really enjoyed Chapter 13 pg 191. The chapter on Probability starts from the basic and moves to the more difficult thinking in finding the probability of more than one event. I would say my ah-ah moment in this chapter was the way Zaccaro connected the tree diagrams to multiplying fractions. Even though multiplying fractions is not a TEK in elementary math it allows for GT children to make that connection and allows for middle school and high school teacher to connect multiplication of fractions to probability.sluthernoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-83330031712580068902010-07-13T13:30:16.350-05:002010-07-13T13:30:16.350-05:00p. 197- Adding probabilities.. Didn't have a c...p. 197- Adding probabilities.. Didn't have a clue that you could add probabilities! Who knew it was so simple.<br />p. 210- Statics, not really an ah-ha, but I know it still scares me!<br />p.238- Different Kind of Average Speed, I thought this was really interesting b/c I never really thought about finding the average speed of two different speeds.ratliffnoreply@blogger.com