Q&A #19885

Geometry for "gifted" student

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From: Claudia (for Teacher2Teacher Service)
Date: Oct 23, 2008 at 19:02:46
Subject: Re: Geometry for

>HI. Wondering if you had any thoughts on whether it is possible to >"extend" 9th grade Geometry class material for a gifted student -- >extending it, say, into her areas of interest, which are Biology and >Biomedical research? The problem is that she hasn't yet studied Physics, >Trig or Calculus? Would it just be better for her to complete the regular >9th grade curriculum, and look for Geometry applications as she moves into >Physics, Trig and Calc.? Thanks for any thoughts! > >I am a parent, not a teacher, trying to get my gifted daughter's math needs >met, EITHER by finding some kind of appropriate YEAR-LONG approaches and >materials to "extend" the reach of the course while she is in the 9th grade >Geometry course, > >OR by obtaining permission for her to move through the course at her own >pace and finish by mid-year (to fit in some other course). I'm not a >"math" person, per se, hence the questions. > >I was hoping that someone could tell me if 9th grade high-school geometry >COULD even be "meaningfully extended" to make the course beneficial and of >academic value to her ALL YEAR -- IS it possible to go into fluid >mechanics, for example, without having yet studied Physics -- > >or would she be better off just moving thru this regular 9th-grade course >material at her own accelerated pace, perhaps with some "extended asides" >as appropriate, and then moving on -- being done with this course, and >knowing to expect to see other types of geometry later on in college or >graduate studies, after she'd had more science and more math to tie into >it -- > >It just occurred to me that you might not be aware of the typical 9th-grade >Geometry course contents (and we're here in Pennsylvania, too). These >statements are from the high-school's website, and will put the course in >perspective for you. My daughter is extremely discouraged by the painfully >SLOW movement through course material, and the redundancy of the >presentations -- and she has the "top" teacher and the "top" level class >offered. She's a very visual person and likes math; she "gets" this stuff >the first time through (and sits bored thru umpteen repetitions until the >others get it), and she NEEDS to either move through and be done, OR have >it "extended" in some way that has value to her professional goals... but >that's what I'm trying to ascertain -- CAN it be "extended" now, with her >having ZERO background in Physics or Trig or Calculus or Statistics -- or >does it make sense to acquire what's here and be done, for now? > >Thanks, Karen > >COURSE DESCRIPTION: GEOMETRY, LEVEL I >In this course, you will develop skills in defining terms, thinking >logically, and arriving at conclusions, both geometric and non-geometric. >Lines, angles, circles, triangles, quadrilaterals and other geometric >figures are studied. Students become familiar with two-column, paragraph, >and indirect proofs. The relationship of geometry to arithmetic, algebra, >and right triangle trigonometry is emphasized. You will also learn and >develop some basic concepts of solid geometry, coordinate geometry, and >probability. > >COURSE TOPICS: > In Geometry, you will study basic definitions and concepts >relevant in Geometry. You will learn how to use deductive structure in >which conclusions are justified by means of previously assumed or proved >statements. You will learn the concept of congruent angles, segments, and >triangles. You will also learn the concept of similar figures, the >Pythagorean Theorem, circles, area, surface area and volume of various >geometric figures. Hey, Karen, I would say that geometry, as a course, can be greatly enriched. It is truly a great course for a visual person. Aside from whatever text she is using, I would suggest using Discovering Geometry published by Key Curriculum Press. It has a hands-on approach to discovering geometric principles. In addition, Key Curriculum also has a geometry software program called, The Geometer Sketchpad, which even has specialty books published with activities for students: tessellations and kaliedoscopes. -Claudia, for the T2T service Thanks for visiting our on-line community. Visit Teacher2Teacher again at http://mathforum.org/t2t/ It is now possible to make a financial contribution to help The Math Forum. Please read more about this possibility: http://www.drexel.edu/ia/mathforum/.

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