In article <firstname.lastname@example.org> Dover-Sherborn High School <email@example.com> writes: > >April 11, 1993 > >Dear Geometry Forum Colleagues, > >I need your help, again. > >Our mathematics department at Dover-Sherborn High School has >begun to re-write its objectives in preparation for our ten year >state evaluation. I have volunteered to work with another >geometry teacher in the department to write the Geometry >objectives. We have decided to begin by looking at the NCTM >Standards (written below). > >The time line for the initial draft is May 5th, and I must meet with >my colleague before then. > >If anyone has any ideas for this exercise, please let me know. If >anyone has ideas, but can not respond in the immediate future, >please respond at your convenience -- this is a 2 year process. > From the NCTM's Curriculum and Evaluation Standards for School >Mathematics. > >Thanks for your time and energy! > >Keith Grove (Dover-Sherborn High School, Dover, MA) > >"Geometry from a Synthetic Perspective: > >In grades 9-12, the mathematics curriculum should include the >continued study of the geometry of two and three dimensions so >that all students can -- >%interpret and draw three-dimensional objects; >%represent problem situations with geometric models and apply >properties of figures; >%classify figures in terms of congruence and similarity and apply >these relationships; >%deduce properties of, and relationships between, figures from >given assumptions; >%develop an understanding of an axiomatic system through >investigating and comparing various geometries. > >Geometry from an Algebraic Perspective: > >In grades 9-12, the mathematics curriculum should include the >study of the geometry of two and three dimensions from an >algebraic point of view so that all students can -- >%translate between synthetic and coordinate representations; >%deduce properties of figures using transformations and using >coordinates; >%identify congruent and similar figures using transformations; >%analyze properties of Euclidean transformations and relate >translations to vectors; >%deduce properties of figures using vectors; >%apply transformations, coordinates, and vectors in problem >solving." > >
We've also found the California Framework helpful. If you're interested let me know and I'll photocopy the geometry stuff and send it along.