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Technology and Algebra in Secondary Mathematics Teacher Preparation Programs

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).

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Technology and Algebra in Secondary Mathematics Teacher Preparation Programs

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  1. 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

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