Mathematical Explorations: A Treasure Hunt: Reflecting, Translating, and Rotating Points on a Coordinate Map

2007 ◽  
Vol 13 (5) ◽  
pp. 316-320
Author(s):  
Carryn Bellomo

Middle school teachers in Clark County School District, Nevada, have found the following geometry activities effective with sixth-, seventh-, and eighth-grade students when they study translations, rotations, and reflections of points in the plane. Students use a local map, in this case a university campus map, to find particular points under a translation, rotation, reflection, or composite of these symmetries. Teachers might choose to customize the lesson for their students with a map from their community, preparing clues similar to those in this activity using familiar locations.

2006 ◽  
Vol 3 (9) ◽  
Author(s):  
Carryn Bellomo

Teaching and learning standards across the country are becoming more content driven, especially in mathematics.  As such, it is essential to develop substantive college level math courses for pre-service and in-service teachers.  These courses should deliver mathematical content in a relevant way.  Teachers must not only be proficient in their subject, but also recognize how to apply content meaningfully to student’s lives.  As part of a grant funded through the Department of Education in coordination with the Clark County School District, I have designed two college level courses that will deliver mathematical content standards to middle school teachers.  These courses will help prepare teachers at the middle school level by focusing on mathematical content, making connections within the curriculum, using technology, and enhancing the role of mathematics in everyday life and problem solving.  This paper extends the concepts provided in [1].  The primary purpose of this paper is to share with the academic community the projects used to develop content understanding in mathematics topics such as:  spatial relationships, geometry, problem solving, reasoning, mathematical modeling, financial and economic analysis, and probability.  This paper will present these projects, and tie them to mathematics standards outlined in the Clark County School District (and state of Nevada).


2006 ◽  
Vol 3 (4) ◽  
Author(s):  
Carryn Bellomo

Teaching and learning standards across the country are becoming more content driven, especially in mathematics.  As such, it is essential to develop substantive college level math courses for pre-service and in-service teachers.  These courses should deliver mathematical content in a relevant way.  Teachers must not only be proficient in their subject, but also recognize how to apply content meaningfully to student’s lives.  As part of a grant funded through the Department of Education in coordination with the Clark County School District, I have designed two college level courses that will deliver mathematical content standards to middle school teachers.  These courses will help prepare teachers at the middle school level by focusing on mathematical content, making connections within the curriculum, using technology, and enhancing the role of mathematics in everyday life and problem solving. The primary purpose of this paper is to share with the academic community the projects used to develop content understanding in mathematics topics such as:  mathematical notation, proportion, computation, estimation, linear regression, reflections, translations, finding relationships, and analyzing data.  This paper will present these projects, and tie them to mathematics standards outlined in the Clark County School District (and Nevada State) Standards.


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