Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

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Insights Into Algebra 1 - Teaching For Learning
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About This Workshop
About This Workshop:


Production Credits

About the Contributors

Graduate Credit and Materials

Tool Box
Graphing Calculator
NCTM Standards

About the Contributors

Content Developers
Classroom Teachers
On-Camera Commentators
Advisory Board

Content Developers

Karen A. Longhart, Math Content Director

A mathematics teacher for 22 years, Karen Longhart has served on the board of directors at both NCTM and the Montana Council of Teachers of Mathematics (MCTM), where she was also president. Recently she has been a presenter of algebra professional development institutes for the NCTM Academy. Karen was a Presidential Awardee for Excellence in Mathematics and Science Teaching, and has been named to the Mathematical Sciences Education Board for 2000-2003. MCTM honored her as Teacher of the Year. Karen is a prolific writer of mathematics curricula, including material for Texas Instruments's Eighty Something, and the Systemic Initiative for Montana Mathematics and Science (SIMMS).

Karen has contributed considerably to improving the use of technology in mathematics teaching. A recipient of National Science Foundation grants to study technology and teaching methods, she has written numerous successful grants to fund professional development and technology for teachers all over the state of Montana. She piloted SIMMS projects that promoted the use of technology, cooperative learning, and authentic assessment while teaching mathematics using real-world contextual situations.

L. Carey Bolster, Math Content Consultant

Carey Bolster has been vitally active in mathematics education throughout his career. He served as Coordinator of Mathematics for Baltimore County Public Schools, Vice-President and President of the National Council of Supervisors of Mathematics (NCSM), initiated the "Activities" section of The Mathematics Teacher, co-directed the State Institute for Leaders in Mathematics and Science sponsored by MSEB, consulted with the National Academy of Sciences development of its online project, and is an author for Scott Foresman.

Carey has been an innovator in bringing professional development to mathematics teachers through video and online productions. Currently he serves as co-mathematics director for the PBS mathematics adventure cartoon show, Cyberchase. As director of PBS Mathline, Carey developed over 72 videos and an extensive online interactive professional development network involving thousands of teachers. As co-principal investigator of the Modeling Middle School Mathematics Project (MMM), he developed video and online activities highlighting exemplary mathematics curricula. Carey served as senior mathematics consultant for PBS Teacherline, an online initiative for math teachers. He initiated MathWeb 2000 and 2001, the first 100% online math conferences. He is president of Bolster Education, Inc., which specializes in creating content for videos, the Web and other technologies used in professional development.

G. Patrick Vennebush, Writer

Patrick Vennebush never met a math problem he didn't like. With over a decade of experience in education, he has held positions as a middle school teacher in Mercer, PA, as curriculum coordinator for MATHCOUNTS, and as an associate director for PBS TeacherLine. Patrick has written problems for the American Mathematics Competition, the Polya competition, the Mathematics Teacher "Calendar," and the Mathematics Teaching in the Middle School "Menu of Problems." In addition, he has written online lessons and courses for MathSoft, Infinity Software Development, and Thirteen/WNET New York. Patrick serves on the MAA Committee for Local and Regional Competitions, is the editor of the "Media Clips" column in the Mathematics Teacher for 2003-05, and is a developer for the Professional Development Group at ETS.

Fred Longhart, Writer

Fred Longhart retired in 2002 after a 30-year teaching career, the last 20 of which were spent at Flathead High School in Kalispell, Montana. He is currently teaching part-time at Flathead Valley Community College. Fred was President of the Montana Council of Teachers of Mathematics and is currently a member of the Affiliate Services Committee at the National Council of Teachers of Mathematics. Fred has extensive experience as a professional developer. He was a Teachers Teaching with Technology instructor from 1994-2002, and a presenter at two NCTM Professional Development Academies from 2002-2003.

Classroom Teachers

Janel Green, Walt Whitman High School; South Huntington, New York

Janel Green
Janel Green realized she was gifted in the field of mathematics at a very young age, and as a child, she tutored and assisted her siblings and friends in their math studies. A native of Brooklyn, NY, Janel received a bachelor's degree in mathematics from Queens College of the City University of New York, where she was the recipient of the Herbert Fremont Award, and went on to complete a master's of science degree in education. Currently, she is working toward an administrative degree at Queens College. She has taught mathematics at Walt Whitman High School for the past six years.

Peggy Lynn, West Yellowstone High School; West Yellowstone, Montana

Peggy Lynn
Peggy Lynn has been teaching mathematics at West Yellowstone K-12 Schools for eighteen years. For the last nine years, she has been using a standards-based integrated curriculum that is context-oriented and incorporates the use of technology. She has become a firm believer in this approach for teaching mathematics. Outside of school, Peggy is a board member and secretary for the Montana Council of Teachers of Mathematics, a board member and treasurer for the West Yellowstone Ski Education Foundation, and team coordinator for the USSA Intermountain/Northern Region junior cross-country ski committee.

Mike Melville, Aptos High School; Aptos, California

Mike Melville
Mike Melville has been teaching for 17 years. He has taught mathematics using traditional texts and curricula as well as reform-based strategies. In between his years of teaching, Mike spent 11 years working for a franchising company, becoming a manager in charge of franchise operations. From this experience, he realized how important it is that what students learn be connected to how they live in some meaningful way. As a teacher of mathematics, he received training in the reform pedagogy needed for the Interactive Mathematics Program (IMP) and has also trained other teachers in this curriculum. At Aptos High School, Mike has been a department chair and has worked on various committees to improve the math education for college-bound students.

A. Tremain Nelson, Hastings High School; Houston, Texas

A. Tremain Nelson
While working as a performance engineer with NASA, Tremain Nelson realized that his true passion was helping children succeed in school, and he decided to become a math teacher in the Houston area public school system. During this time, he had the opportunity to teach using the Cognitive Tutor™ mathematics curriculum and become a certified implementation specialist for Carnegie Learning, Inc. He is currently serving as the Director of K-12 Community for Carnegie Learning and works closely with math supervisors and fellow educators nationwide to help them increase their students' understanding of Algebra I, Geometry, Algebra II, and Integrated Math.

Jenny Novak, River Hill High School, Clarksville, Maryland

Jenny Novak
Jenny Novak is a fourth-year teacher and is involved in many professional development activities for the Howard County public schools in Maryland. She has been a member of the curriculum development team for Algebra I and has served as the lead for the Algebra II writing team. Jenny has co-taught an intermediate course on graphing calculators for teachers, and for the last two summers, she has led an "Algebra Institute" course for Howard County's new teachers. She has presented at county in-services and the N.S.A. Mathematics Symposium, and has co-presented at the Governor's Academy in Maryland.

Orlando Pajon, Bel Air High School; El Paso, Texas

Orlando Pajon
Orlando Pajon is working as a Math Staff Developer for the Ysleta Independent School District in El Paso, TX. Previously he spent five years teaching mathematics at Bel Air High School. He completed the alternative certification program at the University of Texas at El Paso in 1999. Formerly an electrical engineer, Orlando received his Master of Science degree from L'vov Order Lenin Polytechnical Institute (now known as L'vov Polytechnical University) in L'vov, Ukraine. Orlando was born and raised in Cuba.

Tom Reardon, Fitch High School; Austintown, Ohio

Tom Reardon
Tom Reardon is the mathematics department chair at Austintown Fitch High School and a mathematics instructor at Youngstown State University. Tom has given numerous presentations at National Council of Teachers of Mathematics (NCTM) national and regional conferences and at Teachers Teaching with Technology national and regional conferences. He earned the Presidential Award for Excellence in Teaching Mathematics in 1997, the Radio Shack National Teacher Award in 2000, and the Toyota TIME grant from NCTM in 2003. He earned National Board certification in 2000. Tom has authored textbooks and worked with Texas Instruments on software development projects.

Sarah Wallick, The International School; Bellevue, Washington

Sarah Wallick
Sarah Wallick is currently in her third year of teaching at the middle and high school levels in a Washington State public school. She is also pursuing a master's degree in Educational Leadership and Policy Studies at the University of Washington, and is working toward administrative certification to become a principal. Sarah is a trainer for The College Board's "College Success Initiative," which aims to improve math and language arts studies at the middle school level so that students will be better prepared to succeed in those subjects when they enter college. Before moving to Washington, Sarah taught mathematics in California. She holds a Bachelor of Science degree in Applied Mathematics from California State University, Stanislaus, where she also received her teaching certification.

Patricia Valdez, Aptos High School; Aptos, California

Patricia Valdez
Patricia Valdez teaches mathematics in English and bilingually in English and Spanish. She has been a staff developer for the Interactive Mathematics Program (IMP) for ten years, and has taught other IMP staff developers nationally. Patricia has taught at the prestigious California Academy of Mathematics and Science (CAMS) and in the Los Angeles Unified School District. Patricia was the first person to earn a mathematics degree with a bilingual cross-cultural credential from the California State University at Long Beach. She was born in Mexico City.

On-Camera Commentators

Diane Briars

Diane Briars
Diane Briars is the senior program officer for mathematics and science education for the Pittsburgh public schools, and co-director of the Pittsburgh NSF Urban Systemic Program PRIME PLUS (Pittsburgh Reform in Mathematics Education and in Programs for Learning and Understanding Science). She was a member of the National Commission on Mathematics and Science Teaching for the 21st Century, headed by John Glenn; a member of the advisory committee for the Education and Human Resources Directorate of the NSF; and a former director of the National Council of Teachers of Mathematics.

Frances R. Curcio

Frances R. Curcio
Dr. Frances Curcio is a professor in the Department of Education and Youth Services at Queens College of the City University of New York. She is permanently certified as a secondary school mathematics teacher and administrator and spends part of her teaching time at the Louis Armstrong Middle School in East Elmhurst, NY. A former member of the NCTM board of directors, she served on a special panel appointed by the New York City schools chancellor to investigate and report on the state of mathematics education in New York and to provide recommendations for improvement. Currently she is co-principal investigator of a project to develop scenario tasks as a means to assess teachers' mathematical and pedagogical content knowledge.

Miriam Leiva

Miriam Leiva
Dr. Miriam Leiva is director of MATHink and Project Excel MATH, professional development programs at the University of North Carolina at Charlotte that link classroom teachers and schools. She is the Bonnie E. Cone Distinguished Professor of Mathematics Emerita at UNC and was one of the first Hispanic-American women for whom English is a second language to receive a doctorate in mathematics and mathematics education in the United States. Dr. Leiva is serving as the first president of TODOS: Mathematics For All, a national organization designed to support and assist educators in teaching mathematics, particularly to Hispanic-Latino students. She will lead the first U.S.-Cuba Mathematics Education Conference in Havana in 2004.

Carol Malloy

Carol Malloy
Carol Malloy is an associate professor of mathematics education at the University of North Carolina at Chapel Hill. She has served on the NCTM board of directors and was member of the NCTM Standards 2000 team. Dr. Malloy's research interests include mathematics learning, the influence of culture on the cognitive development and mathematics learning of African-American students, and teacher-student interactions that lead to understanding in mathematics. Prior to becoming a professor, she was the associate director for programs, as well as director of the pre-college program, at the University of North Carolina Mathematics and Science Education Network.

Beatrice Moore-Harris

Beatrice Moore-Harris
Beatrice Moore-Harris is the associate mathematics manager for Project Grad Houston. Her consulting clients include Glencoe/McGraw-Hill Publishing Company, the Bureau of Education and Research, the Texas Association for Supervision and Curriculum Design, and the Texas Rural Systemic Initiative. She was a board member of the National Council of Teachers of Mathematics (NCTM) and is the past president of the Benjamin Banneker Association. She has published numerous articles, and has worked on several educational committees and projects at the national level.

Anthony Piccolino

Anthony Piccolino
Anthony Piccolino is Associate Professor of Mathematics at Montclair State University, and a co-project director for an NSF-funded Systemic Initiative for teachers and administrators in grades K-8 in the Newark Public Schools. Prior to this, he was a middle and high school teacher and supervisor of mathematics in the New York State public school system. A co-author of the high school textbook series Integrated Mathematicspublished by McDougall Littell, he has served as a consultant in AP Mathematics for the College Board during the past 20 years. Past directorships include: President of the Association of Mathematics Teachers of New York State and the New York State Association of Mathematics Supervisors, and First- and Second-Vice President and Eastern Regional Director for the National Council of Supervisors of Mathematics.

Jane F. Schielack

Jane F. Schielack
Dr. Jane F. Schielack is a Professor of Mathematics at Texas A&M University. Recently she served as academic advisor as well as writer on several professional development institutes for middle school mathematics teachers. Her other experiences include designing the on-line Mathematics TEKS Framework for supporting implementation of the Texas Essential Knowledge and Skills in K-12 mathematics. Currently she is Director of Information Technology in the Science Center for Teaching and Learning at Texas A&M University. The Center seeks to replenish the nation's supply of education specialists in science, mathematics, and technology through learner-centered opportunities involving scientists, mathematicians, education researchers, and education

David C. Webb

David C. Webb
David Webb is the executive director of the Freudenthal Institute USA, an international research collaborative for mathematics education, as well as an associate researcher at the Wisconsin Center for Education Research. His research focuses on teachers' classroom assessment practices and the design of professional development resources to support teacher learning. Recent research projects have focused on teacher modification through classroom assessment, the impact of reform curricula on student learning and achievement, and the design of formative assessment tools. David received his Ph.D. in curriculum and instruction from the University of Wisconsin, Madison.

Advisory Board

Daniel T. Dolan, director, PIMMS (Project to Increase Mastery of Mathematics and Science), Wesleyan University; Middletown, Connecticut
Carol R. Findell, clinical associate professor, Curriculum and Teaching, Boston University; Boston, Massachusetts
Ana England, teacher, Lakeview Middle School, Watsonville, California
Janis M. Palkowski, teacher, East Junior High School, Traverse City, Michigan

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