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2015 – Joint Mathematics Meetings

Session Title: Teacher as Learner: Reflections from Preservice Mathematics Teachers

Description: This session describes pre-service teachers’ (PSTs’) reflections on learning algebra at the end of their teacher education programs. Data comes from two focus group interviews at each of four purposefully chosen secondary mathematics teacher education programs and we report on emergent themes identified through qualitative analysis. For example, reasoning and proof were emphasized across universities, but PSTs reported that the practices played different roles at different universities. In some cases, proof was used as an assessment and PSTs were supposed to reproduce memorized proofs. In other cases, reasoning and proof were considered tools for learning, granting access to important mathematical truths. This dichotomy about reasoning and proof led us to consider university characteristics. Only two of the case study sites had mathematics educators involved in their mathematics departments. PSTs from these sites more often connected content from their mathematics courses to K-12 learning and commented about taking ownership of their mathematical knowledge. This session presents ideas about teaching mathematics to PSTs and fostering collaboration between mathematics educators and mathematicians.

Presenters: Andrew Hoffman, Jia He, and Leonard Medel

Presentation Time and Date: Sunday, January 11th, 8:40 AM – 9:00 AM

Citation: Hoffman, A., He, J., & Medel, L. (2015, January). Teacher as learner: Reflections from pre-service mathematics teachers. Presented at the Joint Mathematics Meetings. San Antonio, TX. (link to presentation slides)

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2014 – American Educational Research Association

Symposium Title: Common Core State Standards for Mathematics and Mathematics Teacher Education Programs: Current and Future Directions

Symposium Chair: Yukiko Maeda

Description: This symposium highlights issues and challenges identified by mathematics educators as they study the impact of the Common Core State Standards for Mathematics (CCSSM, Common Core State Standards Initiative, 2010) on the preparation of preservice mathematics teachers. Participants will gain both understanding of these important issues and of the challenges of research in this area.

PTA Presenters: Jeffrey Craig, Sharon L. Senk, Yukiko Maeda, and Vivian G. Alexander

PTA Presentation Title: Reported Changes in Secondary Mathematics Teacher Education Programs due to the Common Core State Standards

Presentation Date and Time: Friday, April 4, 2014 from 4:05 PM – 5:35 PM


Description:
This research investigates relations between secondary mathematics teacher preparation programs and the Common Core State Standards for Mathematics [CCSSM] focusing specifically on the following question:  How and to what extent are secondary mathematics teacher preparation programs responding to the CCSSM?

Citation:  Craig, J. He, J., Senk, S. L., Maeda, Y., & Alexander, V. G.  (2014, April). Reported changes in secondary mathematics teacher education programs due to the Common Core State Standards. Paper presented at the American Educational Research Association (AERA). Philadelphia, PA.

2014 – American Educational Research Association

Presenters: Yukiko Maeda, Sharon L. Senk, Vivian G. Alexander, Jeffrey Craig, and Jia He

Session Title: Preparation for Teaching Algebra: Results from a National Survey

Presentation Date and Time: Thursday, April 3, 2014 from 2:15 PM – 3:45 PM

Purpose: The purpose of this study is to provide a national snapshot of current secondary mathematics teacher education programs in the United States, particularly as pertains to preparation for teaching algebra. In this report, we address the following specific questions.

  1. What are the demographic characteristics of secondary mathematics teacher education programs?
  2. What is the relative emphasis in these programs on mathematics courses, mathematics courses primarily for teachers, and mathematics education, e.g. methods, courses?
  3. What courses are typically offered together in secondary mathematics teacher education programs?
  4. To what extent do these programs provide opportunities for pre-service teachers to learn about algebra, algebra teaching, issues in achieving equity in algebra learning, and the algebra, functions, and modeling standards and mathematical practices described in the Common Core State Standards for Mathematics (CCSSM)?

Citation:  Maeda, Y. Senk, S. L. Alexander, V. G., Craig, J., & He, J.  (2014, April). Preparation for teaching algebra: Results from a national survey. Paper presented at the American Educational Research Association (AERA). Philadelphia, PA. (link to presentation slides)

2014 – American Association of Colleges for Teacher Education

Presenters: Yukiko Maeda, Jill Newton, Sharon L. Senk, Jeffrey Craig, and Eryn M. Stehr

Presentation title: Preparing secondary mathematics teachers for teaching algebra in the age of Common Core Standards

Presentation Date and Time: Sunday, March 2, 2014 from 9:00 AM to 10:15 AM

Abstract:  It is critically important that “the nation’s mathematics teachers have the knowledge, skills, and dispositions needed to provide students with a mathematics education that ensures that hjgh school mathematics graduates are college- and career-ready as envisioned in the Common Core State Standards in Mathematics” (Conference Board of the Mathematical Sciences [CBMS], 2012) Hence, a fundamental question for teacher education is “What opportunities are secondary mathematics teacher preparation programs in the U.S. providing pre-service teachers [PSTs] to learn the mathematics described in the Common Core and in recent recommendations such as CBMS (2012)?”  The data we will discuss in this session come from a recent survey of 132 secondary mathematics teacher education programs in the U.S. Because of the importance of algebra as both a foundation for higher mathematics and as a gatekeeper to college courses and many careers, our survey focused on opportunities to learn about algebra, teaching algebra, issues in equity in learning algebra, and the functions and modeling aspects of the CCSS-M.

Citation:  Maeda, Y., Newton, J., Senk, S., Craig, Jeffrey, & Stehr, E. (2014, March). Preparing secondary mathematics teachers for teaching algebra in the age of Common Core Standards. Paper presented at the Sixty-sixth Annual Meeting of the American Association of Colleges for Teacher Education (AACTE). Indianapolis, IN. (link to presentation slides)

2014 – Research in Undergraduate Mathematics Education

Presenters: Eryn M. Stehr and Lynette Guzman

Presentation title: Technology and algebra in secondary mathematics teacher preparation programs

Presentation Date and Time: Friday, February 28, 2014 from 10:25 AM – 10:55 AM

Abstract:  Most recently, the Conference Board of the Mathematical Sciences has advocated for incorporating technology in secondary mathematics classrooms. Colleges and universities across the United States are incorporating technology to varying degrees into their mathematics teacher preparation programs. This study examines preservice secondary mathematics teachers’ opportunities to expand their knowledge of algebra through the use of technology and to learn how to incorporate technology when teaching algebra in mathematics classrooms. We explore the research question: What opportunities do secondary mathematics teacher preparation programs provide for PSTs to encounter technologies in learning algebra and learning to teach algebra? We examine data collected from a pilot study of three Midwestern teacher education programs conducted by the Preparing to Teach Algebra (PTA) project investigating algebra. Our data suggest that not all secondary mathematics teacher preparation programs integrate experiences with technology across mathematics courses, and that mathematics courses may provide few experiences with technology to PSTs beyond strictly computational.

Citation: Stehr, E. & Guzman, L. (submitted). Technology and algebra in secondary mathematics teacher preparation programs. Proceedings of the Seventeenth Annual Conference on Research in Undergraduate Mathematics Education (RUME). Denver, CO.

Stehr, E. & Guzman, L. (2014, February). Technology and algebra in secondary mathematics teacher preparation programs. Paper presented at the Seventeenth Annual Conference on Research in Undergraduate Mathematics Education (RUME). Denver, CO.  (link to presentation slides)

2014 – Association of Mathematics Teacher Education

Presenters: Alexia Mintos, Andrew Hoffman, and Hyunyi Jung

Presentation title: Secondary mathematics teacher education: Learning how to teach algebra

Presentation Date and Time: Friday, February 7, 2014 from 3:15 PM – 4:00 PM

Abstract: We aim to answer the following research question: “What opportunities do PSTs have to learn algebra and to learn to teach algebra?” In this session, we will describe our emergent framework along with findings from our analysis.  The framework related to what PSTs learned about teaching school algebra (e.g., theories of student learning, pedagogical strategies for diverse learners, and concept specific tasks) and how they learned to teach school algebra (e.g., completing tasks/ assignments as learners and reading journal articles and policy documents) will be the focus.

Citation: Mintos, A., Hoffman, A., & Jung, H. (2014, February). Secondary mathematics teacher education: Learning how to teach algebra. Paper to be presented at the Eighteenth Annual Conference of the Association of Mathematics Teacher Educators (AMTE). Irvine, CA. (link to presentation slides)

2013 – North American Chapter of the International Group for the Psychology of Mathematics Education, Chicago IL

Presenters: Jill Newton, Yukiko Maeda, Vivian Alexander, and Sharon L. Senk
Poster title: Recommendations from MET II: Investigating the alignment of secondary mathematics teacher education programs

Abstract:  MET II makes recommendations about preparing teachers to teach the mathematics described in CCSSM; these include taking advanced mathematics courses, mathematics courses designed for teachers to strengthen their understanding of school mathematics, and mathematics methods courses. In this study, we used results from a national survey to investigate the alignment of current secondary mathematics teacher education programs with the recommendations for middle grades and high school programs in MET II. Results indicated that most surveyed programs are meeting the advanced mathematics recommendations, but are falling short in their requirements for courses designed for teachers that focus on school mathematics.

Citation:  Newton, J., Maeda, Y., Alexander, V., & Senk, S. L. (2013, November). Recommendations from MET II:  Investigating the alignment of secondary mathematics teacher education programs. Poster presented at the Thirty-fifth Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA). Chicago, IL. (link to proceedings)

2013 – North American Chapter of the International Group for the Psychology of Mathematics Education, Chicago IL

Presenters: Hyunyi Jung, Andrew Hoffman, Anavi Nahar, and Jill Newton
Poster title: Integration of Pre-Service Teacher Knowledge and CCSSM: Modeling in Algebra

Abstract: With consideration of the importance of teaching algebra and modeling, this study seeks to answer the question “What are the opportunities for secondary mathematics pre-service teachers (PSTs) to learn about modeling and how to teach modeling in algebra?” In all cases, PSTs learned about modeling real-world situations with algebraic concepts in their teacher education programs.  To be specific, they identified variables from a real world context and formulated a model by using representations; these components are recommended by CCSSM.  PSTs also learned about how to teach modeling.  For example, they learned how to facilitate a classroom where their students learned to solve real world algebraic problems by modeling.  Specific instructional strategies, provided in both interviews and course materials, were largely consistent across universities, but important differences surfaced.  Unique experiences of PSTs from each university will be shared in this poster session to inform other educators who prepare PSTs to teach algebra in general, and modeling in particular, in their programs.

Citation:  Jung, H., Hoffman, A., Nahar, A., & Newton, J. (2013, November). Integration of Pre-Service Teacher Knowledge and CCSSM: Modeling in Algebra. Poster presented at the Thirty-fifth Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA). Chicago, IL. (link to proceedings)

Link to Poster

2013 – North American Chapter of the International Group for the Psychology of Mathematics Education

Presenters: Eryn M. Stehr, Lynette Guzman, and Adam Hakes
Poster title: Technology and algebra in secondary mathematics teacher preparation programs
Description: This study explores opportunities provided by teacher preparation programs for secondary mathematics PSTs to encounter technology in learning algebra and in learning to teach algebra. We define technology narrowly as electronic tools and software. This study is a qualitative analysis of pilot data gathered from a larger mixed-methods project (see Endnote). We compiled data about teacher preparation programs at three universities through a focus group of three or four graduating PSTs, interviews with mathematics and mathematics education instructors, and instructional materials for select courses at each site. We used recommendations from CBMS (2012) to develop an analytical framework focusing on: type of use, type of course, type of encounter, type of technological tool, and whether the PSTs are asked to think critically about the use or choice of technological tool for learning or learning to teach each particular algebraic topic. Our analysis includes a general overview of opportunities for PSTs to use technology in learning mathematics and in learning to teach mathematics. We then narrow our focus to examine these opportunities as they relate specifically to algebra.

Citation: Stehr, E., Guzman, L., & Hakes, A. (2013). Technology and algebra in secondary mathematics teacher preparation programs. Poster presented at the 35th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.  Chicago, IL: University of Illinois at Chicago. (link to proceedings)

(link to poster)

2013 – North American Chapter of the International Group for the Psychology of Mathematics Education, Chicago IL

Presenters: Alexia Mintos, Jill Newton, Ali Brown, and Jules McGee
Poster Title: Preparing to Teach Algebra with Equity in Mind

Description: This poster will outline an analytical framework to investigate pre-service teachers’ opportunities to learn to teach algebra with equity in mind and present results of how they are prepared to teach algebra to diverse student populations at case study institutions.

Citation: Mintos, A., Newton, J. Brown, A., & McGee, J. (2013). Preparing to Teach Algebra with Equity in Mind. Poster presented at The 35th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.  Chicago, IL: University of Illinois at Chicago. (link to proceedings)