## Wednesday, April 4, 2007

### Reflection

-Who first discovered symmetry and when was it discovered?

We found a lot of information on the topic of symmetry, especially with regards to the various types (i.e. line symmetry, point symmetry, rotational symmetry, etc). With so many aspects of symmetry, teachers may question the necessity of which topics to focus on in their lessons.

-How do we, as teachers, determine what aspects of symmetry to emphasize in the teaching of symmetry?

In reflecting on the topic of symmetry, we noted that there are a vast amount of resources available for use in the implication of a unit, such as this, in mathematics. Helpful to us, as future teachers in a technology-based world, online activities are valuable resources in gaining the attention of our students. A helpful online resource that we found is listed at the bottom of the main page of this blog.

Interesting to us, and possibly our future students, is the concept of the Golden Ratio. As we learned, in creating this blog, children have an innate sense to look for symmetry in the human body. For this reason, we feel that this topic would be of interest to our students - an explanation for why we see beauty in different people.

The issues we addressed in our blog were those that we felt would be most important when implicating a mathematics unit on symmetry. Though there are many other issues that can be addressed, as primary/elementary teachers, we feel that we cannot be experts in this field, yet we certainly feel more capable of teaching symmetry in our classroom thanks to our researched information.

## Tuesday, March 27, 2007

### List of Referenced Materials

__Reference List__

1) Clements, Douglas H. and Julie Sarama.(2000) The Earliest Geometry. *Teaching Children Mathematics, 7*(2), 82-86. Retrieved

2) Coffin, Tom. (n.d.). *The Symbol of Beauty*. Retrieved

3) Johnson, Iris DeLoach and Sarah KatherineBomholt (2000). Picture This: Second Graders “See” Symmetry and Reflection. Teaching *Children Mathematics, 7*(4), 208-209. Retrieved

4) Knuchel, Christy. (n.d.). Teaching Symmetry in the Elementary Curriculum. The *Montana** Mathematics Enthusiast, 1*(1), 3-8. Retrieved

5) Liebeck, Helen and Elaine Pollard. (1995). *The **Oxford** English Dictionary*. Fourth Edition.

6) *Symmetry? Could This be the Answer to the Age Old Question; “What is Beauty?”*. Retrieved on

7) Thompson, Mark. (2006). *Why is Symmetry Important*. Retrieved on

8) Van de Walle, John and Sandra Folk (2004). *Elementary and Middle School Mathematics: Teaching Developmentally*. Canadian Edition.

9) (2007). *Symmetry*. Retrieved

## Monday, March 26, 2007

### Useful Student Links

http://www.innovationslearning.co.uk/subjects/maths/activities/year3/symmetry/shape_game.asp

- Fun game for students

http://gwydir.demon.co.uk/jo/symmetry/index.htm

- Make a symmetrical pattern online

http://www.adrianbruce.com/Symmetry/

- Symmetry WebQuest

http://www.mathsnet.net/cruncher/symmetry.swf

- Create reflections of images

http://www.primaryresources.co.uk/maths/mathsE5.htm

- Variety of activities on symmetry and patterns

### Helpful Lesson Plans

As symmetry can be taught in several subject areas, we have provided lesson plans from the areas of Math, Science and Art.

Math:

http://www.homeschoolmath.net/teaching/g/symmetry.php

- Provides several activities on symmetry

http://www.lessonplanspage.com/MathArtShapeShipSlideTurnFlipGeometricArtProject23.htm

- Lesson teaching the concepts of flip, rotate and slide

Science:

http://www.lessonplanspage.com/more/ScienceLAArtMathMDButterflyUnit7-SymmetryLesson12.htm

- Teaches the concept of symmetry through exploration of butterflies

Art:

http://regentsprep.org/Regents/math/symmetry/Photos.htm

- Investigates facial symmetry with the use of digital art

http://www.princetonol.com/groups/iad/lessons/elem/elem17.html

- Students create symmetrical illustrations with the use of crayons and an iron