Conference on

Mathematics Proficiency for Teaching

**March 18-20, 2010**

**Georgia Center for Continuing Education**

**Some Background**

The ProjectOur project, the

Situations Project,has been a collaboration between mathematics educators at the Pennsylvania State University and the University of Georgia, supported by the National Science Foundation as work of our respective STEM centers.Our project set out to characterize mathematical knowledge for teaching at the secondary level. Our approach began with the analysis of episodes observed in practice. These efforts led to the creation of a set of

situations, each with a prompt followed by discussion of mathematical foci. Many of those situations we developed are linked below for you to examine.As we refined the set of situations, we developed a framework to give us a characterization of the mathematics that may be relevant to secondary mathematics teaching. Our work led us to propose the ideas of

Mathematics Proficiency for Teachingas we have presented them in theFrameworkdocument below. The Situations and the Framework have gone through many refinements and benefitted from the discussions of these documents in two previous conferences.The background for the development of the Framework and the Situations is given in the final section of the Framework, pp. 19 - 23.

The personnel who have been involved in the project are listed on the front page of the Framework.

This ConferenceThe purpose of this conference is to engage in discussion of possible

usesof our products -- the Framework and the Situations. The presentations and discussions at the conference will be toward gaining ideas for the potential uses of the products in various contexts, including preservice mathematics teacher education, professional development of mathematics teachers, organizing mathematics instruction for enhancing preparation for teaching, graduate education, and research.GOALS --

1. Become familiar with the Mathematical Proficiency for Teaching Framework and Situations.

2. Facilitate inquiry and research related to Mathematical Proficiency for Teaching at the secondary level.

3. Stimulate the thinking about MPT at the secondary level of those who prepare teachers of mathematics (e.g., mathematicians, mathematics educators, teacher leaders, curriculum developers).

4. Inform the preparation of teachers at the secondary level.

Conference Idea Paragraphs(Thursday output)

Conference Products to Describe Potential Uses(From Friday, from Thursday Panel, or from previous participant work)

Participants with Group Assignments(Word) (alternative

Click **HERE** for the **GUESTBOOK**. The guestbook will show you other participants who have signed in and their comments. Please sign our before you leave. You may want to examine the Framework or some of the Situations before signing the Guestbook.

Framework for Mathematical Proficiency for Teaching(PDF)(Word)

Situations

01 Sin 32 Degrees

02 Parametric Drawings

03 Inverse Trigonometric Functions

04 Representing Standard Deviation

06 Cross Multiply

07 Temperature Conversion

08 Ladder

09 Perfect Square Trinomials

10 Simultaneous Equations

11 Faces of a Polyhedral Solid

15 Graphing Quadratic Functions

16 Area of a Sector of a Circle

20 Area of Plane Figures

21 Exponential Rules

24 Absolute Value Equations and Inequalities (with 26)

27 Product of Two Negative Numbersand aGSP file

28 Adding Square Roots (with 32)

29 Trigonometric Identities

30 Translation of Functions

33 Least Squares Regression

34 Mean Median

35 Quadratic Equation

36 Pythagorean Theorem

37 Multiplying Monomials and Binomials (with 31)

39 Summing the Natural Numbers

40 Powers

41 Square Roots

42 Y= sin(2x)

43 Can You Circumscribe a Circle about this Polygon?

44 Zero Exponents

45 Zero Product Property

46 Division Involving Zero

47 Graphing Inequalities with Absolute Values

48 Product Rule for Differentiation

49 Similarity

50 Connecting Factoring with the Quadratic Formula

51 Proof by Mathematical Induction

53 (PN9) Constructing a tangent line

54 (PN6) Modular Arithmetic

55 Properties ofiand Complex Numbers

62 Absolute Value in the Complex Plane

65 Square Root ofi

67 Sample and Population Variance

Contact Information

Jim WilsonWeb page:

Http://jwilson.coe.uga.eduE-mail: j

wilson@uga.eduTelephone:

706-248-3388

Elizabeth PlattE-mail:

platt4@yahoo.com

Conference ListservE-mail:

MPT-Conference@listserv.uga.edu