Sunday, June 24, 2007

Identification Theory

In my MRP proposal, I have discussed using the theory of identification, as a way to frame my argument that young female students need a role model to identify with in mathematical picture books.

As partially taken from my MRP proposal:

I have chosen to use social identity theory and cognitive-development theory as a conceptual framework for analysis for my MRP. Identification has been commonly associated with Freudian defense mechanisms. It is part of learning gendered behaviour through a developmental process during childhood (Corey, 2005). Pervin, Cerone, & John (2005) provide a good working definition of identification: “In identification, individuals take on themselves the qualities of another person and integrate them into their functioning” (p. 104). Two theories related to identity will be used in my MRP, including social identity theory and cognitive-development theory.

Social identity theory states that people are motivated to create a balance between their social and personal identity. In both cases, individuals strive to maintain congruency of their identity to maintain a positive self-image (Schmader, 2002).

Kohlberg developed the Cognitive-Development Theory in 1966 by applying Piagetian theory of cognitive development to society. Kohlberg suggests that a basic cognitive level of knowledge is needed to develop understanding of gender (Martin, Ruble, & Szkrybalo, 2002).

Kindergarten children make assumptions about their interests among other children based on gender identification. Children at this age determine children as belonging to the same ‘group’ as them in terms of gender or ‘non-group’ for those of the opposite sex (Martin, Ruble, & Szkrybalo, 2002).

What are some ways that you think children for their gender identity?

References:

Corey, G. (2005). Theory and Practice of Counseling and Psychotherapy. (7th ed.). Toronto: Thomson Learning.

Martin, C.L., Ruble, D. N., & Szkrybalo, J. (2002). Cognitive Theories of Early Gender Development. Psychology Bulletin. 129(6), 903-933.

Pervin, L., Cerone, D., & John, O. (2005). Personality Theory and Research. (9th ed.). Dansver: John Wiley & Sons, Inc.

Schmader, T. (2002). Gender Identification Moderates Stereotype Threat Effects on Women’s Math Performance. Journal of Experimental Social Psychology. 38, 194-201.

Saturday, June 16, 2007


If you are looking for a resource of ways to teach using math picture books, I found this one on amazon.com:

Teaching Math with Favorite Picture Books (Grades 1-3)


You can look inside the book on this website to see a few pages.

Has anyone ever used this resource?

Friday, May 25, 2007

Famous Mathematicans

When I 'Googled' the string "Famous Mathematicians", I found this website:
http://euler.ciens.ucv.ve/English/mathematics/
It lists various famous mathematicans who (on this website) are all males.
Who are some current female mathematicans we can also expose children to?

Below is the list of the mathematicians:

Niels Henrik Abel
Archimedes
Banach, Stefan
Bessel, Friedrich
Bolzano, Bernhard
Cantor, Georg
Cauchy, Augustin Louis
Cayley, Arthur
Dedekind, Richard
Einstein, Albert
Euclides
Euler, Leonhard
Fourier, Joseph
Galois, Evariste
Gauss, Carl Friedrich
Hilbert, David
Kepler, Johannes
Lagrange, Joseph Louis de
Laplace, Pierre Simon de
Lebesgue, Henri Leon
Leibniz, Gottfried Wilhelm von
de Moivre, Abraham
von Neumann, John
Newton, Sir Isaac
Pascal, Blaise
Peano, Giuseppe
Pythagoras of Samos
Poincare, Henri
Riemann, Georg Friedrich Bernhard
Taylor, Brook
"They [females] are featured as less likely to be involved in the identification, setting and solving of problems, less skilful and competitive, less likely to teach maths skills to others, and to display less initiative and inventiveness."
(Northam, 1986, p. 115)

Reference: Northam, J. (1986). Chapter 8: Girls and Boys in Primary Maths Books. In Leone
Burton (Ed.), Girls into Maths Can Go (pp. 110 – 121). Great Britain: Holt,
Rinehart and Winston.


In the field of education, there has been discussions that teaching others may improve ones understanding of the concepts they are teaching and remember it over longer periods of time. If females, are not as likely as males to teach others math skills, as this quote indicates, what disadvantages may girls compare to boys face in learning mathematics?

Wednesday, May 16, 2007

Image Copyright

Please note that all images on this blog, including book covers, comics, etc. are being used for educational purposes and if the author or artist would like them removed they may post to this blog and I will remove them immediately.
-Melissa

Tuesday, May 15, 2007

"It's too hard..."

Source: http://w3.impa.br/~jgomes/comics/comics.html


Here is another math comic.
Any thoughts? Personal connections?

Perceptions of Mathematicians

A study by Colgan (2006) highlights what she found in her study. Students viewed mathematicians as,
“…fat…aren’t seeing anyone, and have wrinkles on their forehead from thinking so hard…bald, overweight, unmarried men who wear beards and glasses and lead little or no social life” (p. 8).

This student is from a recent publication in the 2006 edition of the Ontario Mathematics Gazette. What does this say about how many of today's children view individuals in mathematics professions?

Reference:
Colgan, L. (Sept. 2006). Hey, It’s Elementary! Seeing Ourselves as Children See Us. Ontario Mathematics Gazette, 45 (1), 7-9.

Sunday, May 13, 2007

Math Comic

Reference: http://www.geocities.com/CapeCanaveral/Hangar/7773/comics.html

What does this comic say about boys' and girls' interest in mathematics?

Trouble Posting?

Hi Everyone,
If you are having trouble posting because you do not have a blog or google account, I have created an account for everyone (who does not have an account) to use if they want to post a comment.

Sign -in email: melissamrp@hotmail.com
Password: melissamrp123

Hope that helps!
-Melissa

The Rajah's Rice By: David Barry Freeman

Source: http://www.wautoma.k12.wi.us/redgranite/Classrooms/Mertz/rajahrice.JPG
Here is another math picture book- The Rajah's Rice: A Mathematical Folktale from India.
Who do you think this story may identify or connect to more, males or females? Why?

Knights and Gender

Thank you for the posts thus far.In relation to the comments made about the math picture book in the Sir Cumference series, I wonder what people think the role of women are.

I wonder...

  • Thinking back to Medieval Times, what roles would women have played?
  • How do you think this may affect the way women are portrayed in this series?

Saturday, May 12, 2007

Sir Cumference and the First Round Table: A Math Adventure

Source: http://www.amazon.ca/Sir-Cumference-First-Round-Table/dp/1570911525/ref=sr_1_1/702-2639125-2400055?ie=UTF8&s=books&qid=1179331598&sr=1-1

This is a popular math book read by children and educators.
By looking at the cover's images and text, do you believe a boy or girl child is more likely to relate or enjoy this story? Why?

Quote: Females and Mathematics

“There is an interesting parallel between the decline in girls’ involvement in maths between seven and sixteen years of age, and the gradual disappearance of girls from math books over the same period.”
(Northam, 1986, p. 116)

Northam, J. (1986). Chapter 8: Girls and Boys in Primary Maths Books. In Leone Burton (Ed.), Girls into Maths Can Go (pp. 110 – 121). Great Britain: Holt, Rinehart and Winston.

Northam's (1986) research is the basis for my MRP. This quote from her chapter, Girls and Boys in Primary Math Books, helps frame the importance of my research.
  • Why are females not represented in math books as much as males?
  • Why are women less likely to get involved in mathematics compared to men?

Any thoughts?

Hi Everyone,
Please feel free to post your thoughts below on my postings. Debate is always fun!
I will be monitoring who posts on this site as part of my Digital Technology class assignment. Please add your name if you feel comfortable.
Thanks!
~Melissa