High School Teacher

SARAH K. BLEILER

**** *. **** ****** ****** TENNESSEE STATE UNIVERSITY P.O. BOX 34 MURFREESBORO, TN, 37132

PHONE 615-***-**** FAX 615-***-**** abp5xn@r.postjobfree.com

E DUCATION A ND A CADEMIC A WARDS

Ph. D., Mathematics Education, 2012

University of South Florida, Tampa, FL

Dissertation title: Team-Teaching Experiences of a Mathematician and a Mathematics

Teacher Educator: An Interpretative Phenomenological Case Study

University Presidential Fellowship recipient: 4-year full academic fellowship

M. A., Mathematics, 2008

University of South Florida, Tampa, FL

Thesis title: Orthogonal Filters and the Implications of Wrapping on Discrete Wavelet

Transforms

University Presidential Fellowship recipient: 2-year full academic fellowship

B. S., Mathematics; Spanish (minor), 2006

Seton Hall University, South Orange, NJ

Valedictorian: Class of 2006

Clare Boothe Luce Scholarship recipient: 4-year full academic scholarship

Edward J. Bloustein Scholarship recipient: 4-year scholarship

P UBLICATIONS

Bleiler, S. K., Thompson, D. R., & Krajcevski, M. (Under review). Validating proofs: A

teaching experiment with prospective secondary mathematics teachers. Submitted to:

Journal of Mathematics Teacher Education.

Thompson, D. R., Kaur, B., Koyama, M., & Bleiler, S. K. (Invited, under review). A

longitudinal view of mathematics achievement of primary students: Case studies from

Japan, Singapore, and the United States. Submitted to: Y. Shimizu & B. Kaur (Eds.),

Learning from similarities and differences: Cross-national studies on aspects of teaching and learning

mathematics (ZDM: The International Journal on Mathematics Education, Issue 1,

2013).

Bleiler, S. K., & Thompson, D. R. (2012/2013). Multidimensional assessment of the

Common Core. Teaching Children Mathematics, 19(5), 292-300.

Thompson, D. R., Beneteau, C., Kersaint, G., & Bleiler, S. K. (2012). Voices of

mathematicians and mathematics teacher educators co-teaching prospective

secondary teachers. In J. M. Bay-Williams (Ed.), Professional collaborations in mathematics

teaching and learning: Seeking success for all- 74th yearbook (pp. 229-242). Reston, VA:

National Council of Teachers of Mathematics.

Bleiler, S. K. (2010). Integration of proof and reasoning in school mathematics: A guide

for elementary school teachers. Dimensions in Mathematics: Journal of the Florida Council of

Teachers of Mathematics, 29(2), 6-12.

Bleiler, S. K., & Thompson, D. R. (2010). Dimensions of mathematics understanding: A

longitudinal analysis of primary students achievement in the United States. In Y.

Shimizu, Y. Sekiguchi, & K. Hino (Eds.), The 5th East Asia Regional Conference on

Mathematics Education (EARCOME5): In search of excellence in mathematics education (pp.

400-407). Tokyo, Japan: Inamoto Printing.

Thompson, D. R., Kaur, B., & Bleiler, S. K. (2010). Using a multi-dimensional approach to

understanding to assess primary students mathematical knowledge. In Y. Shimizu, Y.

Sekiguchi, & K. Hino (Eds.), The 5th East Asia Regional Conference on Mathematics

Education (EARCOME5): In search of excellence in mathematics education (pp. 472-479).

Tokyo, Japan: Inamoto Printing.

Bleiler, S. K., & Saccoman, J. T. (2007). A correction in the formula for the number of

spanning trees in threshold graphs. Australasian Journal of Combinatorics, 37, 205-213.

Bleiler, S. K., & Saccoman, J. T. (2006). A surgery reducing the number of spanning trees

for certain threshold graphs. Congressus Numerantium, 178, 15-31.

C ONFERENCE PRESENTAT IONS

Bleiler, S. K., Thompson, D. R., & Krajcevski, M. (2013). Strengths and weaknesses of preservice

secondary teachers proof validation. Poster session to be presented at the National Council

of Teachers of Mathematics Research Presession, Denver, CO.

Bleiler, S. K. (2013). Team-teaching experiences of a mathematician and mathematics teacher educator:

An interpretative phenomenological case study. Session to be presented at the Association of

Mathematics Teacher Educators 17th Annual Conference, Orlando, FL.

Bleiler, S. K., Thompson, D. R., Krajcevski, M. (2013, January 10). Lessons learned from a

teaching experiment focused on proof validation. Session to be presented at the Joint

Mathematics Meetings, San Diego, CA.

Bleiler, S. K. (2012, September 21). Multidimensional assessment of the Common Core State

Standards. Session presented at the Tennessee Mathematics Teacher Association

Annual Meeting, Cookeville, TN.

Bleiler, S. K., & Thompson, D. R. (2012, April 26). Classroom assessment of the Common Core:

A multidimensional approach. Session presented at the National Council of Teachers of

Mathematics Annual Meeting and Exposition, Philadelphia, PA.

Bleiler, S. K., & Kersaint, G. (2012, April 24). Team-teaching experiences of a mathematician and a

math teacher educator. Session presented at the National Council of Teachers of

Mathematics Research Presession, Philadelphia, PA.

Bleiler, S. K., & Thompson, D. R. (2012, February 10). Validating proofs: A teaching

experiment with prospective secondary mathematics teachers. Session presented at the

Association of Mathematics Teacher Educators 16th Annual Conference, Fort Worth,

TX.

Bleiler, S. K. (2011, October 21). Validating proofs: Students use of inductive and deductive

reasoning. Gallery workshop presented at the National Council of Teachers of

Mathematics Regional Meeting, Atlantic City, NJ.

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Bleiler, S. K., & Thompson, D. R. (2011, October 14). Multidimensional understanding of the

Common Core Standards: A tool for assessment. Session presented at the Florida Council of

Teachers of Mathematics Annual Meeting, Jacksonville, FL.

Bleiler, S. K. (2011, April 15). Show your work! : Why this isn t enough with Wolfram Alpha.

Session presented at the National Council of Teachers of Mathematics Annual Meeting

and Exposition, Indianapolis, IN.

Bleiler, S. K., Kersaint, G., & Krajcevski, M. (2011, January 9). Differing views on assessment:

Two instructors' strategies for modeling assessment techniques for prospective secondary mathematics

teachers in an upper level team-taught geometry course. Session presented at the Joint

Mathematics Meetings, New Orleans, LA.

Bleiler, S. K. (2010, October 1). Wolfram Alpha, a computational website: What effects will it have

in your classroom? Session presented at the Florida Council of Teachers of Mathematics

Annual Meeting, Orlando, FL.

Bleiler, S. K., & Thompson, D. R. (2010, August). Dimensions of mathematics understanding: A

longitudinal analysis of primary students achievement in the United States. Symposium paper

presented at the 5th East Asia Regional Conference on Mathematics Education,

Tokyo, Japan. (Paper actually presented by D. R. Thompson.)

Thompson, D. R., Kaur, B., & Bleiler, S. K. (2010, August). Using a multi-dimensional

approach to understanding to assess primary students mathematical knowledge. Symposium paper

presented at the 5th East Asia Regional Conference on Mathematics Education,

Tokyo, Japan. (Paper actually presented by D. R. Thompson and B. Kaur.)

Bleiler, S. K., & Thompson, D. R. (2010, April 20). A longitudinal analysis of elementary school

achievement on four dimensions. Poster session presented at the National Council of

Teachers of Mathematics Research Presession, San Diego, CA.

Bleiler, S. K. (2009, October 8). Dimensions of mathematics understanding: A longitudinal analysis

of elementary students achievement. Poster session presented at the Graduate Student

Research Symposium, University of South Florida, Tampa, FL.

Bleiler, S. K. (2009, August 6). Orthogonal filters and the implications of wrapping on discrete wavelet

transformations. Poster session presented at the Mathematical Association of America

Mathfest meeting, Portland, OR.

Bleiler, S. K. (2006, April 8). A correction in the formula for the number of spanning trees in threshold

graphs. Poster session presented at the Garden State Undergraduate Mathematics

Conference, Georgian Court College, Lakewood, NJ.

Bleiler, S. K. (2006, April 2-4). Mathematical modeling of molecular evolution by means of DNA

analysis. Poster session presented at the Petersheim Academic Exposition, Seton Hall

University, South Orange, NJ.

Bleiler, S. K. (2006, February 4). A surgery reducing the number of spanning trees for certain

threshold graphs. Session presented at the Nebraska Conference for Undergraduate

Women in Mathematics, University of Nebraska, Lincoln, NE.

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Bleiler, S. K., DiLauri, J., Michniewicz, R., & Sunshine, L. (2005, April 2-5). An extension of

Turan s theorem to multigraphs. Poster session presented at the Petersheim Academic

Exposition, Seton Hall University, South Orange, NJ.

Bleiler, S. K. (2005, April 2). Lower bounds for spanning trees in multigraphs. Session presented

at the Garden State Undergraduate Mathematics Conference, Middlesex County

College, Edison, NJ.

T EACHING

Middle Tennessee State University, Murfreesboro, TN

Assistant Professor, Mathematics Department Fall 2012 Present

Instructor of MATH 1420: Informal Geometry. This course provides a geometry-based

study of school mathematics for prospective elementary teachers. The course focus is

on increasing students content knowledge of geometry and measurement concepts

taught within a problem-solving context. (Fall 2012)

Instructor of MATH 3320: Teaching Mathematics in Grades 5-8. This course provides

prospective middle and high school teachers with knowledge of the major goals, current

developments, and instructional procedures that are critical in the teaching of middle

school mathematics. (Fall 2012)

University of South Florida, Tampa, FL

Instructor, Secondary Education Department Fall 2010 - Fall 2011

Instructor of MAE 4551: Reading the Language of Mathematics. This course provides

the prospective secondary mathematics teacher the opportunity to develop concepts,

skills, and instructional procedures for effectively integrating communication (reading,

writing, listening, and speaking) into the mathematics curriculum. (Fall 2011)

Instructor of MAE 4310: Teaching Elementary School Mathematics I (K-6). This course

focuses on the content, methods, and materials for teaching elementary school

mathematics, with particular emphasis on problem solving, whole number concepts,

and rational number concepts. (Fall 2010, Spring 2011)

Course Development/Evaluation June 2009-May 2010

Participated in a teaching collaboration with a mathematician (Dr. Catherine Beneteau) and

mathematics educators (Dr. Denisse R. Thompson and Dr. Gladis Kersaint). Two

semester-long courses (Geometry and Teaching High School Mathematics) were team-

taught by Dr. Thompson and Dr. Beneteau. My responsibilities included assisting in

course development, observing and reflecting on weekly class sessions, facilitating a

focus group with students, and collecting course evaluation data. The collaboration was

part of the KnoTSS (Knowledge for Teaching Secondary School) project funded by

NSF grant #0821996, Principal Investigator Rebecca McGraw, University of Arizona.

Computer Science Instructor/Course Development Summer 2008, Summer 2009

Instructor at the Center for Mathematical Services in a summer program for advanced

middle school and high school students. Self-developed course using Mathematica to

help students gain a deeper understanding of algebraic and statistical concepts.

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Hillsborough Community College, Tampa, FL

Adjunct Instructor, Mathematics Department Summer 2007

Instructor of two sections of Pre-Algebra (MAT 0012).

Seton Hall University, South Orange, NJ

Tutor, Mathematics Department Fall 2002-Spring 2004

Facilitated the transition of incoming freshmen in new courses. Tutored students in

Developmental Math I and II, Intermediate Algebra I and II, Pre-Calculus, Calculus I

and II, Honors Calculus I, II, and III.

O THER SCHOLARLY E XPERIENCE

Researcher, KnoTSS grant May 2010-Present

University of South Florida, Tampa, FL

Served as a lead researcher on the KnoTSS (Knowledge for Teaching Secondary School)

project funded by NSF grant #0821996 (Principal Investigator Rebecca McGraw,

University of Arizona), a research project focused on the nature and process of

collaboration between mathematicians and mathematics teacher educators in the context

of team-teaching. My research responsibilities included taking field notes during class

and planning sessions, video-recording class sessions, audiotaping planning sessions, and

interviewing the individuals involved in collaborative team-teaching.

Participant in the EDGE Program Summer 2006

New College, Sarasota, FL

Applied and was selected for participation in the Enhancing Diversity in Graduate

Education (EDGE) program, an NSF-funded preparation program for women entering

graduate programs in mathematics. The program consisted of two core courses in Real

Analysis and Algebra/Linear Algebra, minicourses in specialized areas of mathematics

research, guest lectures, problem sessions, and the formation of professional networks

and mentoring relationships.

Research Assistant, Center for Discrete Mathematics and Summer 2005

Theoretical Computer Science (DIMACS)/Center for Discrete

Mathematics, Theoretical Computer Science and Applications (DIMATIA)

Rutgers University, Piscataway, NJ/Charles University, Prague, Czech Republic

Applied and was selected for participation in the Summer 2005 DIMACS Research

Experience for Undergraduates (REU) at Rutgers University.

Conducted research in graph theory under the advisement of Dr. Vadim Lozin

(RUTCOR).

Applied and was selected for participation in the DIMATIA Research Experience for

Undergraduates at Charles University.

Research Assistant, Mathematics Department Fall 2004-May 2006

Seton Hall University, South Orange, NJ

Worked under the advisement of Dr. John T. Saccoman in mathematics research in the

field of graph theory.

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S ERVICE

Professional Service:

Regional Chair, Tennessee High School Mathematics Contest 2012-2013

Manuscript Reviewer

ZDM: The International Journal on Mathematics Education (Spring 2012-Present)

Mathematics Teacher (Fall 2008-Present)

Conference Proposal Reviewer

AMTE Annual Conference (2011, 2012)

NCATE Program Reviewer Fall 2012-Present

Conference Volunteer

Conference on Research on the Enacted Mathematics Curriculum (note taker),

Tampa, FL, November 4-6, 2010

NCTM annual conference (news distribution), San Diego, CA, April 22, 2010

AMTE annual conference (front desk), Orlando, FL, February 5-7, 2009

Knotting Mathematics and Art: Conference in Low Dimensional Topology (conference

organizer and coordinator), Tampa, FL, November 1-4, 2007

University Service:

Chair, Mathematics Department Safety Committee 2013

Faculty Sponsor, Pi Mu Epsilon (Tennessee Gamma Chapter, MTSU) 2012-Present

Member, Undergraduate Program Policy Committee 2012-2013

Community Service:

Volunteer/Supervisor, Club MARVEL November 10, 2012

Supervised pre-service teacher candidates as they taught mathematics lessons to at-risk

student participants of Club MARVEL from Murfreesboro City Schools.

Tutor, Suncoast Area Teacher Training Tutor-a-Bull Program Fall, 2010

Tutored seventh and eighth grade students in a local middle school in mathematics.

After School Math Club Supervisor/Tutor Spring, 2010

University Area Community Center, Tampa, FL

Assisted Dr. Vomvoridi-Ivanovic in the After School Math Club for elementary students

(grades K-5). Responsibilities included supervision of pre-service elementary teachers

and tutoring/teaching mathematics to elementary school students.

Volunteer/Student Teacher January-June, 2009

Greco Middle School, Temple Terrace, FL

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Assisted classroom teachers with instruction of eighth grade mathematics .

G RANTS

Co-principal Investigator, Project IMPACT January-September 2013

Implementing Mathematical Practices and Content into Teaching, Math and Science

Partnership Grant through the Tennessee Department of Education, $235,000.

P ROFESSIONAL AFFILIA TIONS

National Council of Teachers of Mathematics (2008-present)

Association of Mathematics Teacher Educators (2009-present)

Tennessee Association of Mathematics Teacher Educators (2012-present)

Middle Tennessee Mathematics Teachers (2012-present)

Association for Women in Mathematics (2012-present)

Florida Council of Teachers of Mathematics (2009-2012)

Florida Association of Mathematics Teacher Educators (2011-2012)

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