Math Task; Written Assignment (PST Use)

Math Task; Discussion;Reading(PST Use)

Written Assignment (No tech use)

Mathematical Education of Teachers(METI) (CBMS, 2001)

Mathematical Education of Teachers II (METII) (CBMS, 2012)

Technology and Algebra in Secondary Mathematics Teacher Preparation Programs

Michigan State University Purdue University

University A

- Medium size
- Carnegie classification of RU/H
- 4-year program

University B

- Large size
- Carnegie classification of RU/VH
- 5-year program

METI

METII

InTASC

NCATE

N/A

N/A

PSTs compare features of graphing utilities

Exploration; Reasoning; Real-world

Real-world; Exploration; Share solution strategies

(No tech use - object of investigation)

Ships in the Fog Task:Andrea Doria & Stockholm

-Watch video

-Solve 3 ways (w/ graphing calculator)

-Discuss on Wiki

-Read Case

Explain how the system describes the effect of fishing on the population. Plot orbits for alpha = .05. Are they still closed? Compute average selachian and food fish populations.

[PSTs] investigate graphing utilities and think about what are the features of graphing utilities that would … make one more desirable than another…

Interstate Teacher Assessment and Support Consortium(InTASC)(CCSSO, 1995)

National Council for Accreditation of Teacher Education (NCATE)(NCTM, 2012)

University C

- Large size
- Carnegie classification of RU/VH
- 4-year program

Learning Algebra and Learning to Teach Algebra Activity Characteristics

Activity Type

Types of Technology Use

Algebra Topic Areas

Technological Tools

Critical Choice and Use of Technology

Research Questions

Three Cases: University Overviews and Snapshot Analyses

Rationale

Video clip; Graphing Calculator;Wiki

Graphing Utilities

MatLab (dfield applet)

Parametric Equations

Functions-Multiple Representations

Differential Equations

Why focus on teacher preparation programs?

- Need for data on how teacher preparation programs utilize recommendations (NAEP, 2010)

Why focus on learning algebra and learning to teach algebra?

- Algebra is gatekeeper to tertiary opportunities (Moses, Kamii, Swap, & Howard, 1989)
- More states including algebra as graduation requirement (Teuscher, Dingman, Nevels, & Reys, 2008)

Why focus on learning with technology and learning to teach with technology?

- PSTs should develop abilities needed to critical evaluate technology and to use technology strategically (NCATE, 2013; InTASC, 1995; CBMS, 2001, 2012)

What opportunities do secondary mathematics teacher preparation programs provide for PSTs to encounter technologies in learning algebra and learning to teach algebra?

University A: Technology inSecondaryMath

Process

Recommendations

University B: MathMethods

Participants

Courses

University C: DifferentialEquations

Recommendations

Research Team