tag:blogger.com,1999:blog-1811268622721218650.post5990757441684721489..comments2010-08-07T15:27:39.170-05:00Comments on Challenge Math - SBISD GT Book Study: Session 4 - Question 2atxteacherhttp://www.blogger.com/profile/15216583790234498239noreply@blogger.comBlogger34125tag:blogger.com,1999:blog-1811268622721218650.post-2649146544791091042010-08-07T15:01:01.423-05:002010-08-07T15:01:01.423-05:00Zaccaro creates a rich in depth path for gifted st...Zaccaro creates a rich in depth path for gifted students but getting them started on the basic math concept then drawing them up into the advance thinking. An example is in chapter 17 he starts the students thinking about how to. On page 262 he is checking their understanding and then on 264 he introduces how it works with equations. By page 269 he has the students understanding the slope of the line and on page 279 the students are writing an equation and drawing the graph of an accelerating vehicle which leads the student in to chapter 18.wilson1mhttps://www.blogger.com/profile/02356172301733313691noreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-26871201231011019312010-07-30T22:58:20.668-05:002010-07-30T22:58:20.668-05:00In response to PKassir on 7/22, I agree with you c...In response to PKassir on 7/22, I agree with you completely about the fact that this book introduces students to concepts that are beyond the scope and sequence at the elementary level, but are still relevant, meaningful, and interesting to the student. Any time that I can tell the students we are learning something that they don't "have" to learn or know yet, I always peak their interest. they love doing things that they think are advanced or, in their words, more "grown-up" math.susanmnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-58001142802413947112010-07-30T22:55:31.694-05:002010-07-30T22:55:31.694-05:00Zaccaro's book is a rich, thought-provoking re...Zaccaro's book is a rich, thought-provoking resource to use with the gifted student. He has accomplished this in many ways by: providing interesting and meaningful background information, discussing famous mathematicians throughout history, predicting questions that might arise and the dialogue that could ensue from those in the "bubbles" throughout the book, giving just enough information on a topic without giving it all or going back to the very basic (he assumes there's some level of understanding), and providing a multitude of differentiated question types and levels to appeal to just about anyone. He also appeals to the GT student by providing information on concepts that aren't a part of our daily curriculum but are, nonetheless, interesting and motivating for the students.susanmnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-80388118791629671832010-07-29T23:57:11.733-05:002010-07-29T23:57:11.733-05:00In response to Kohlerj on July 28, ..Then I start...In response to Kohlerj on July 28, ..Then I started reading the other posts to see that elementary school teachers like the book and want to use it as well. That is the epitome of a book written to all levels that can challenge students in whatever grade they happen to be labeled by age..<br />Indeed, this is a great book to be used to have the gt student experience intellectual frustration in a positive way and enjoy the music of math. After taking the online GT course course with Dr. Karen Rogers about the 10 Options in GT Education-a Synthesis of Research, Im more assured of the treasure of this book because it agrees with several of her statements such as Exposing the GT student to content beyond their grade level in their specific area of talent, and Double or triple-time pacing in Math and Science.RCampananoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-27415942399376777622010-07-29T23:13:25.619-05:002010-07-29T23:13:25.619-05:00Zaccaro creates rich and in-depth avenues for gift...Zaccaro creates rich and in-depth avenues for gifted students in many ways throughout the book such as in chapter 8 about Area. (I picked this chapter because I teach 4th grade and it is one of the most relevant to my grade) In this chapter, Zacarro introduces in a very effective and concise way the area of many objects like rectangles, triangles, circles, and odd figures allowing the student to have a greater depth about the concept of Area. Area is an easy concept to grasp for GT students so this will be a great resource for them instead of doing excess drill and review of just rectangles and odd figures. The real life problems of page 122-127 are great ways to stimulate the brain of the GTstudent.RCampananoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-12327075409479725602010-07-29T22:52:54.164-05:002010-07-29T22:52:54.164-05:00In response to SharonG on July 29th, I agree that ...In response to SharonG on July 29th, I agree that the author made calculus easier to understand. The way he present concepts and make connections are very helpful in building stamina needed to tackle advanced concepts such as calculus.SDawsonnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-78980212610763841772010-07-29T22:45:28.792-05:002010-07-29T22:45:28.792-05:00I think the author did a great job in creating ric...I think the author did a great job in creating rich and in-depth avenues for GT students. I teach 6th grade pre-ap and after studying this book I feel more confident teaching 8th grade Algebra (which is 9th grade in Academic class) concepts to my GT students. Author makes advanced concepts such as solving simultaneous equations, trigonometry etc. understandable, enjoyable and interesting for GT students. He builds the foundation by helping GT students see the big picture, introduces the concept without repetition and then let them explore much deeper by various levels of challenging questions.SDawsonnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-28701323448810883492010-07-29T21:05:31.090-05:002010-07-29T21:05:31.090-05:00In response to PKassir, I agree that much of this ...In response to PKassir, I agree that much of this content is applicable to 5th grade and I think the history connection is going to give fuel to the fire of getting the kids excited about learning more math/science together.Sharon G.noreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-66098146281035794742010-07-29T21:03:16.380-05:002010-07-29T21:03:16.380-05:00I believe the way that he presents information tha...I believe the way that he presents information that seems to be so confusing such as Chapt. 19 dealing with Calculus. I never experienced Calculus in high school, but it was in his explanation and connections that made this concept easier for me to understand. I think the kids are really going to be intrigued with all they are learning, as well as searching for ways to apply their knowledge to real life.Sharon G.noreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-56688330729121864912010-07-29T18:20:34.731-05:002010-07-29T18:20:34.731-05:00I agree with Pkassir that alot of the this materia...I agree with Pkassir that alot of the this material is not usually presented in an elementary classroom, and the GT students would love learning something new.I also agree with the fact that many times GT students are not given extra opportunities to develop their academic skills.ndeansnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-78879457526464626422010-07-29T17:44:35.839-05:002010-07-29T17:44:35.839-05:00The author creates rich and in-depth avenues for g...The author creates rich and in-depth avenues for gifted students to learn math by making the concepts relevant and challenging. He makes the concepts interesting and fun. He introduces each concept with some history and humor and then gives them different levels to work with either independently or with a group. I like the way the author introduces the Metric System on page 53. He first explains that in the customary system the measurements are based on the human body making it difficult to use. He also explains why the metric system makes more sense and is easier to use.ndeansnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-26789444033326848412010-07-29T14:57:58.811-05:002010-07-29T14:57:58.811-05:00Zaccaro creates rich and in-depth avenues for gift...Zaccaro creates rich and in-depth avenues for gifted students to learn and to experience mathematics because he understands their ability to understand concepts quickly and to make connections. He challenges, in a fun way, the children to connect and generalize learned information to new situations. For example: On pg. 110 the children weren’t shown a strategy to make separate polygons out of the overall, original one, but they will discover this through practice and manipulation on their own; On pg. 109 (#3), a radical symbol on a calculator is needed to solve because 20 isn’t a perfect square. The children will either learn to write the answer in its radical form, or they will learn to use that function on a calculator; On pg. 111 the kids have to learn that d = 2r.KSadlonoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-29059774418382820742010-07-29T08:44:04.147-05:002010-07-29T08:44:04.147-05:00In response to kohlerj, I do agree that the beauty...In response to kohlerj, I do agree that the beauty of this book is that it is applicable to various age groups and ability levels. There is such a wealth of problems that it can be tailored to meet class ors tudent needs.cynthiamernoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-61152859447101233452010-07-29T08:29:54.383-05:002010-07-29T08:29:54.383-05:00Mr. Zaccaro does it logically and somewhat sequent...Mr. Zaccaro does it logically and somewhat sequentially but he uses the fundamentals with examples and humor and then jumps the student up to application level very quickly.He also provides various levels so that students can progress on their own with any particular type of problem.<br />On page 67 he starts with level 1 problems, then on the next page offers level 2 problems, and then moves on to the Einstein level as he does with each section of new subject matter.<br />He also uses lots of graphics to explain/demonstrate the examples. For example the Venn diagrams on p.30 and the function machines on page 35 alongside the cartoon characters and their speech bubbles.<br />The other thing that is done frequently is in the chapter introductions where he gives background information or examples of application (giving the big idea) before showing the fundamentals. On p.165 he does this with the trig section.cynthiamernoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-64804370115682361492010-07-29T00:13:43.979-05:002010-07-29T00:13:43.979-05:00In response to ratliffb on July 28th, I agree with...In response to ratliffb on July 28th, I agree with how well the book is written. It is simple enough that anyone could read it to learn the concepts. I think the different leveled problems wouldn't be appropriate for everyone, which is why we differentiate!CKohlhttps://www.blogger.com/profile/12218582181573792567noreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-3262919122762381112010-07-29T00:09:47.717-05:002010-07-29T00:09:47.717-05:00Zaccaro presents the math concepts in a way that s...Zaccaro presents the math concepts in a way that students want to devour it. He hooks them with background knowledge, history, and real world application. Then he describes the steps for solving steps in a rigorous way! He then adds tips to simplify even the most complex concept. Page 108 really breaks the Pythagorean Theorem down after page 105 introduces the facts about perimeter and circumference.CKohlhttps://www.blogger.com/profile/12218582181573792567noreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-5066765761114527062010-07-28T22:33:00.997-05:002010-07-28T22:33:00.997-05:00In response to NLopez, I agree that Zaccaro provid...In response to NLopez, I agree that Zaccaro provides the extra questions, examples and stimulation that gt kids need.Katie Kavanaghnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-38872245483906786282010-07-28T22:31:06.956-05:002010-07-28T22:31:06.956-05:00Zaccaro provides rich and in depth situations for ...Zaccaro provides rich and in depth situations for gifted students to learn math concepts by introducing concepts within stories and relevant situations, as well as have cartoons and thought bubbles throughout the text. For instance, on page 105 he ties the history behind the mathematics when discussing perimeters and circumferences to make the concepts realistic, rather than just learning a theory without the reasoning or real-life example behind it.Katie Kavanaghnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-81211904960911392952010-07-28T22:01:34.103-05:002010-07-28T22:01:34.103-05:00In response to Sluther, I agree that Zaccaros abil...In response to Sluther, I agree that Zaccaros ability to take what the students already know and strengthen and deepen their knowledge through the high level of questioning is key to creating depth.ReneeRnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-89278424145351258082010-07-28T22:00:44.533-05:002010-07-28T22:00:44.533-05:00In response to PKassir, You took the words right o...In response to PKassir, You took the words right out of my mouth. Background information, historical notes, etc--They love the new advanced challenges that the book provides.ReneeRnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-16834241270564839772010-07-28T21:59:46.036-05:002010-07-28T21:59:46.036-05:00The book does a great job of weaving real world ap...The book does a great job of weaving real world applications, historical significance and modeling to create depth. Some examples of this are page 5 and 53, the author uses historical facts to introduce the topic. This creates interest and excitement for the students.ReneeRnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-72263283149956696622010-07-28T21:50:10.884-05:002010-07-28T21:50:10.884-05:00In response to sluther...
I think tat is the key t...In response to sluther...<br />I think tat is the key to this whole book for upper elementary. It allows them to experience math they would normally not do until they get older. That is what is so great about this book. Zaccaro really goes in depth at the right level for upper elementary students to be able to really enjoy and understand the concept in this bookratliffbnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-34331599480326519052010-07-28T21:45:49.817-05:002010-07-28T21:45:49.817-05:00Edward Zaccaro creates rich and in-depth avenues f...Edward Zaccaro creates rich and in-depth avenues for gifted students to learn and experience mathematics because he makes the content applicable to the real. By sharing the history of the concept and its' inventor, student can see why and how the concept will apply to the real world not just learning it because the teacher said to. The intro to each chapter and the stories that go along with the chapter help make what could be difficult subjects fun to learn. I really like the Einstein boxes that give more insight and reminds you of the important facts to remember.ratliffbnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-28619344247246412342010-07-28T19:22:45.848-05:002010-07-28T19:22:45.848-05:00In response to Pkassir:
I agree with you that thi...In response to Pkassir:<br /><br />I agree with you that this book is a great resource for all kids and not just the GT ones. My classroom is integrated GT/Pre-AP and I don't have many opportunities to work with just the GT kiddos. However, so many of these questions would be great for all the kids in my classroom to chew on for awhile.kohlerjnoreply@blogger.comtag:blogger.com,1999:blog-1811268622721218650.post-67178796018089215472010-07-28T19:20:07.701-05:002010-07-28T19:20:07.701-05:00I think the beauty of this design is that it can b...I think the beauty of this design is that it can be geared to gifted kids of all ages. As a teacher of 7th graders, I felt that a great deal of the material could be used in my classroom. Then I started reading the other posts to see that elementary school teachers like the book and want to use it as well. That is the epitome of a book written to all levels that can challenge students in whatever grade they happen to be labeled by age.kohlerjnoreply@blogger.com