assessing pre service secondary school teachers mathematical knowledge for teaching algebra
Download
Skip this Video
Download Presentation
Assessing Pre-Service Secondary School Teachers’ Mathematical Knowledge for Teaching Algebra

Loading in 2 Seconds...

play fullscreen
1 / 19

Assessing Pre-Service Secondary School Teachers’ Mathematical Knowledge for Teaching Algebra - PowerPoint PPT Presentation


  • 120 Views
  • Uploaded on

Assessing Pre-Service Secondary School Teachers’ Mathematical Knowledge for Teaching Algebra. Sharon Senk Joan Ferrini-Mundy Michigan State University January 12, 2006. BACKGROUND Mathematical Knowledge for Teaching. Mathematical Education of Teachers RAND Mathematics Study Panel Shulman

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Assessing Pre-Service Secondary School Teachers’ Mathematical Knowledge for Teaching Algebra' - kirk-page


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
assessing pre service secondary school teachers mathematical knowledge for teaching algebra

Assessing Pre-Service Secondary School Teachers’ Mathematical Knowledge for Teaching Algebra

Sharon Senk

Joan Ferrini-Mundy

Michigan State University

January 12, 2006

background mathematical knowledge for teaching
BACKGROUNDMathematical Knowledge for Teaching
  • Mathematical Education of Teachers
  • RAND Mathematics Study Panel
  • Shulman
  • Ma
  • Ball & Bass
  • Many other scholars
knowing mathematics for teaching algbra kat project nsf rec no 0337595
KNOWING MATHEMATICS FOR TEACHING ALGBRA (KAT) PROJECT(NSF REC No. 0337595)
  • Joan Ferrini-Mundy, PI
  • Robert Floden
  • Raven McCrory
  • Mark Reckase
  • Sharon Senk
  • Karen Allen & Xuhui Li
goals of kat project
GOALS OF KAT PROJECT
  • Instrument Design (2004 - 2005)

Develop theoretical constructs, items, test forms

  • Framework Validation (2006)

Do data support theoretical framework?

  • Status Study (2006-2007)

How does knowledge for teaching algebra vary among pre-service and in-service teachers across the U.S.?

item development august 2004 october 2005
Item Development August 2004 - October 2005
  • Constructs defined
  • Item writing workshops with mathematicians, math educators, secondary teachers
  • Additional Items written by KAT faculty & GAs
  • Items reviewed by mathematicians
  • Items edited by KAT staff
mathematical knowledge for teaching algebra simplified for assessment design
Mathematical Knowledge for Teaching Algebra(simplified for assessment design)
  • Knowledge of school algebra

algebra in middle and high school

  • Advanced mathematical knowledge

related college math, e.g. calculus, abstract algebra

  • Teaching knowledge

knowledge of typical errors, canonical uses of school math, curriculum trajectories, etc.

pilot testing
Pilot Testing
  • Volunteers were recruited to administer forms of the item sets to target samples.
    • Students in mathematics teacher preparation
    • Practicing teachers
    • Interns/those in professional development
  • Wanted variety in teaching experience and type of mathematics course work
kat pilot sites
Calvin College (MI)

Cal. State Univ. - Fullerton

George Mason University

Grand Valley State Univ.

Kennesaw State University

Michigan State University

Oregon State University

St. Xavier University

San Diego State University

Syracuse University

Texas State University - San Marcos

University of Arizona

UC Berkeley

University of Delaware

UNC Greensboro

Univ. of South Florida

Valparaiso University

Western Michigan Univ.

In-service teachers in CA,DE,IL, MI, OH

KAT Pilot Sites
analysis of items
Analysis of Items
  • Items were analyzed to check a number of features.
    • Difficulty: proportion correct/mean performance
    • Spread of scores
  • Items that were outside target difficulty range, showed little spread of scores, or showed negative discrimination were revised or eliminated.
  • As of December 2005 we have about 100 items of which about 50 meet our criteria.
sample item identify an exponential function school knowledge
Sample Item: Identify an Exponential Function(School Knowledge)

Which of the following situations can be modeled using an exponential function?

i. The height h of a ball t seconds after it is thrown into the air.

ii. The population P of a community after t years with an increase of n people annually.

iii. The value V of a car after t years if it depreciates d% per year.

A. i only

B. ii only

C. iii only

D. i and ii only

E. ii and iii only

sample item number systems advanced knowledge
Sample Item: Number Systems(Advanced Knowledge)

For which of the following sets S is the following statement true?

For all a and b in S, if ab = 0, then either a = 0 or b = 0.

i. the set of real numbers

i. the set of complex numbers

iii. the set of integers mod 6

iv. the set of integers mod 5

v. the set of 2x2 matrices with real number entries

A. i only D. i, ii, iii and iv only

B. i and ii only E. i, ii, iii, iv, and v

C. i, ii and iv only

sample item identifying student s error in solving a linear equation teaching knowledge
Sample Item: Identifying Student’s Error in Solving a Linear Equation(Teaching Knowledge)

A student solved the equation

3(n - 7) = 4 - n

and obtained the solution n = 2.75.

What might the student have done wrong?

next steps
NEXT STEPS

Validation Study (March - August, 2006)

Need at least 1600 participants

in-service secondary teachers

pre-service secondary teachers

math majors (juniors & seniors)

math graduate students

contacts for kat project information

Contacts for KAT Project Information

Xuhui Li, Project Manager,[email protected]

Joan Ferrini-Mundy, PI, [email protected]

Sharon Senk, Co-PI,[email protected]

ad