Preparing+for+Next+Class

**For Class #12 - Saturday, May 29, 2010 (8:30 am - 4:00 pm)**

 * Bring ALL Graphing Calculators and bring a computer and/or a memory stick if you want to copy files onto your computer **

- Funderstandings. Behaviourism, Constructivism (Piaget, Vygotsky) - Clements, D. & Battista, M. (1990). Constructivist learning and teaching. //Arithmetic Teacher//, 38(1), 34-35 - Davis, B. (2005). Teacher as “consciousness of the collective’. //Complicity: An International Journal of Complexity and Education//, 2, pp. 85-88. - Davis, B. (2003). Understanding learning systems: Mathematics education and complexity science. //Journal for Research in Mathematics Education// (34)2, pp. 137-167
 * Treats – ** Dawa and Cathy
 * Due Sat May 29 ** – Annotated bibliography for teacher inquiry
 * Due Wednesday June 2 – ** Learning Theories paper
 * Read all learning theories papers and bring along **
 * // Behaviourism and Constructivism //**// : //
 * // Complexity Theory //**

For Class #10 - Wednesday, May 19, 2010 (5:30 am - 9:00 pm)
** __Treats:__ ** Annamaria and Margareta __Topic Discussion__ - (Green) Complexity Science and Mathematics Education ** __Reminder__ ** EVERYBODY presents ONE of his/her lessons for peers to do - (activating problem and Lesson problem). You can use the feedback to improve your lesson before you implement the lesson and/or you can use the solutions to anticipate solutions and in your bansho if you don't have enough variety from students. __Reading …__ ==
 * Continue gathering math topic articles for teacher inquiry
 * Lesson Plans DUE May 19

=
-Davis, B. (2005). Teacher as “consciousness of the collective’. Complicity: An International Journal of Complexity and Education, 2, pp. 85-88======

=
-Davis, B. (2003). Understanding learning systems: Mathematics education and complexity science. Journal for Research in Mathematics Education (34)2, pp. 137-167======

For Class #8 - Saturday, May 8, 2010 (8:30 am - 4:00 pm)
** __Reminder__ **
 * __Treats:__ ** Margareta, Andrea, and Amjad
 * Continue gathering math topic articles for teacher inquiry
 * Rationale due Sat May 5, (include change and Japanese instruction)

__Start Reading …__ a. Describe 2 characteristics of each theory: behaviourism, constructivism, and complexity theory. b. Infer how these theories explain a mathematics teaching/learning experience. __Behaviourism and Constructivism__ ** __:__ - Funderstandings. Behaviourism, Constructivism (Piaget, Vygotsky) - Clements, D. & Battista, M. (1990). Constructivist learning and teaching. //Arithmetic Teacher//, 38(1), 34-35

**__Treats__** - David and Cathy
 **__Read and Think about__** 1. Read 4 articles and think about how you would describe two characteristics of adolescent learners. 2. Explain how the characteristics of adolescents impacts student learning of mathematics. 3. Explain how the characteristics of adolescents impacts teaching.

//**__Readings__**:// // * Jenson, E. (1998). How Julie’s brain learns. Educational Leadership, (56)3, pp. 1-4. * // //Knowles, T. and Brown, Dd. (2000). Understanding the young adolescent. What every middle school teacher should know. Portsmouth, NH: Heinemann. pp. 8-36. * Reinhart, S. (2000). Never say anything a kid can say. Mathematics Teaching in the Middle School. Pp. 478-483. * Stahl. R. (1994). Using think-time and wait-time skilfully in the classroom. ERIC Clearinghouse of Social Studies Social Science Education. Bloomington, IN., pp. 1-4.//


 * Reminder** - Add to annotated bibliography articles for your teacher inquiry

**Readings**

 * Everybody reads the first 2 and others over next few weeks**
 * Takahashi, A. and Yoshida, M. (2004). Ideas for establishing lesson-study communities.//Teaching Children Mathematics//. pp. 436-443. (HAVE TO READ)
 * Stigler, J. and Hiebert, J. (1999). The teaching gap. New York, NY: The Free Press. (HAVE TO)
 * Givvin, K., Jacobs, J., & Hollingsworth, H. (2006). What does teaching look like around the world? //ON-Math//, 4(1), 1-7.
 * Smith, M. (2004). Beyond Presenting Good Problems: How a Japanese teacher implements a mathematics task.
 * Ertle, B. and Fernandez, C. What are the characteristics of a Japanese blackboard that promote deep mathematical understanding?
 * Yoshida, M. (2003). Developing effective use of blackboard through lesson study.

1. As you read, think about “What the differences are between mathematics teaching in Germany, Japan, and the United States? 2. Infer how these differences relate to teaching mathematics through problem solving?

For Class #5 - Saturday, Apr 24, 2010 (8:30 am - 4:00 pm or any 7 h you choose)

==LOAD GSP **onto your computer and complete Technology WebQuest Good luck! remember, you have one another's email and some phone numbers on the Who's Here? page. This assignment should take at least 7 h and you have to be thinking about how you might use this for one of your lessons! **==

Readings

 * Everybody reads the first 2 and others over next few weeks**
 * Takahashi, A. and Yoshida, M. (2004). Ideas for establishing lesson-study communities.//Teaching Children Mathematics//. pp. 436-443. (HAVE TO READ)
 * Stigler, J. and Hiebert, J. (1999). The teaching gap. New York, NY: The Free Press. (HAVE TO)
 * Givvin, K., Jacobs, J., & Hollingsworth, H. (2006). What does teaching look like around the world? //ON-Math//, 4(1), 1-7.
 * Smith, M. (2004). Beyond Presenting Good Problems: How a Japanese teacher implements a mathematics task.
 * Ertle, B. and Fernandez, C. What are the characteristics of a Japanese blackboard that promote deep mathematical understanding?
 * Yoshida, M. (2003). Developing effective use of blackboard through lesson study.

1. As you read, think about “What the differences are between mathematics teaching in Germany, Japan, and the United States? 2. Infer how these differences relate to teaching mathematics through problem solving?
 * For Class #4 - Wednesday, Apr 21, 2010 (5:30 am - 9:00 pm)**

**__Due__** - prepare to do Math Task 1
Readings -
 * Everybody reads the first 2 and others over next few weeks**
 * Takahashi, A. and Yoshida, M. (2004). Ideas for establishing lesson-study communities.//Teaching Children Mathematics//. pp. 436-443. (HAVE TO READ)
 * Stigler, J. and Hiebert, J. (1999). The teaching gap. New York, NY: The Free Press. (HAVE TO)
 * Givvin, K., Jacobs, J., & Hollingsworth, H. (2006). What does teaching look like around the world? //ON-Math//, 4(1), 1-7.
 * Smith, M. (2004). Beyond Presenting Good Problems: How a Japanese teacher implements a mathematics task.
 * Ertle, B. and Fernandez, C. What are the characteristics of a Japanese blackboard that promote deep mathematical understanding?
 * Yoshida, M. (2003). Developing effective use of blackboard through lesson study.

1. As you read, think about “What the differences are between mathematics teaching in Germany, Japan, and the United States? 2. Infer how these differences relate to teaching mathematics through problem solving? 
 * LOAD GSP** onto your computer and prepare for Saturday, April 24 ...

__Due__ **- Teacher Inquiry Plan **
**__Read and Record:__**

B. Be prepared to make inferences about how the changes impact teaching and student learning of mathematics.

 * 1) Ball, D., Hill, H., and Bass, H. (2005). Knowing mathematics for teaching: Who knows mathematics well enough to teach third grade and how can we decide?//American Educator//, pp. 14-17, 20-22, 43-46.
 * 2) Cohen, D. & Ball, D. (2001). Making change: Instruction and its improvement.//Phi Delta Kappan//. pp. 73-77.
 * 3) Battista, M. (1999). The mathematical miseducation of America’s youth. //Phi Delta Kappan Online//.[|http://www.pdkintl.org/kappan/kbat9902.htm][|. pp. 1-15].
 * 4) Wilms, W. (2003). Altering the structure and culture of American public schools.//Phi Delta Kappan Online//.__[]__.

For Class #2 - Saturday, April 10, 2010 (8:30 pm - 4:00 pm)
A.Carefully read the course outline and **complete** the Course Outline Scavenger Hunt. B. Read the Math Curriculum Gr 6-10 C. Start reading the required readings listed below. D. Peruse teacher inquiry plan and think about the mathematics content for your teacher inquiry and a classroom context you can use.
 * __Treats__** - Annamaria, Diana, Margareta
 * __Read__**
 * TEACHER INQUIRY PROJECT**
 * Ball, D., Hill, H., and Bass, H. (2005). Knowing mathematics for teaching: Who knows mathematics well enough to teach third grade and how can we decide?//American Educator//, pp. 14-17, 20-22, 43-46.
 * Cohen, D. & Ball, D. (2001). Making change: Instruction and its improvement.//Phi Delta Kappan//. pp. 73-77.
 * Battista, M. (1999). The mathematical miseducation of America’s youth. //Phi Delta Kappan Online//.[|http://www.pdkintl.org/kappan/kbat9902.htm][|. pp. 1-15].
 * Wilms, W. (2003). Altering the structure and culture of American public schools.//Phi Delta Kappan Online//.__[]__.