No Question Left Behind: Bringing Guided-Inquiry Curricula into

Science and Mathematics Classrooms

A one-and-a-half-day workshop for middle- and high-school science and mathematics teachers

 

University of Maine Hutchinson Center

Monday, June 25 – Tuesday, June 26, 2007

 

Sponsored by the University of Maine Center for Science and Mathematics Education Research and The Jackson Laboratory, with support from the Howard Hughes Medical Institute and the Bank of America Company, trustee of the Lloyd G. Balfour Foundation

 

 

Monday, June 25

 

Participant List
Picture Album

 

TIME

EVENT

LOCATION

7:30-8:30

Registration and Continental Breakfast

Atrium

8:30-8:45

 

Welcome!  Dr. Susan McKay, Director of the Center for Science and Mathematics Education Research and Professor of Physics

 

Atrium

8:45-9:30

The Goal of Student Inquiry

David Hammer, Professor of Physics and Curriculum & Instruction, University of Maryland, College Park

 

Auditorium

 

 

9:30-10:15

The Role of Inquiry in the Teaching and Learning of Mathematics

Karen J. Graham, Professor of Mathematics at the University of New Hampshire

 

 

Auditorium

10:15-10:30

 

Break

Atrium

10:30-11:15

 

Integrating Digital Libraries into Teaching and Learning

Holly Devaul, Manager of Educational Programs and Services for the Digital Learning Sciences, Digital Library for Earth System Education, University Corporation for Atmospheric Research

 

Auditorium

11:15-12:00

Down By the River – A Multidisciplinary, Collaborative Study of the Upper Susquehanna River Basin

David Pysnik, chemistry/research instructor at Sidney High School, New York

 

Auditorium

 

12:00-1:00

 

 

Lunch

 

Atrium

 

 

Interactive Workshops

 

1:00-3:00

 

 

 

DLESE Teaching Boxes: the Familiar “Box on the Shelf” Goes Digital (Devaul)

(Limited to 20 participants)

 

Room 102  Computer Lab

 

Implementing and Assessing Inquiry-based Teaching in the Mathematics Classroom

(Graham and Paddack)

 

Executive Seminar Room 1

 

How to Design Project-Based Inquiry Biology Curricula For Meaningful Understanding (Kanter)

(Participants are encouraged to bring a laptop with audio)

 

Room 106

 

Let’s Go Down to the River (Pysnik)

(Participants are invited to bring water samples from their local streams and ponds)   

 

Room 105

3:00-3:15

Break

 

Atrium

3:15:5:15

 

 

 

Attending and Responding to Student Thinking (Hammer)

(Participants are encouraged to bring a laptop with audio)

 

Executive Seminar Room 1

 

Providing Learning Opportunities for Middle School Students to Reason Algebraically: An example of the “delicate balance” (Stephan & Underwood-Gregg)

 

Room 105

 

Was This Winter Warmer Than Usual?  Finding Evidence From Online Data. (Schauffler)

(Limited to 20 participants)

 

Room 102 Computer Lab

 

Washington Academy’s Sustainable LIFE Curriculum:  Ecological Education in Action (Sprangers)

 

 

Executive Seminar Room 2

5:30-6:30

Poster Presentations (appetizers served)

 

Atrium

6:30-7:30

Dinner

 

Atrium

7:30-8:30

What It Looks Like When It Works (Hammer)

 

 

Auditorium

 

 

 

 

 

 

Tuesday, June 26

 

TIME

EVENT

LOCATION

7:15-8:15

Hot Breakfast Buffet – Hutchinson Center

 

Atrium

8:15-9:00

Washington Academy’s Sustainable LIFE Curriculum:  Ecological Education in Action

Donald R. Sprangers, science teacher, Washington Academy, Maine 

 

Auditorium

9:00-9:45

Learning Biology Using Project-Based Inquiry In Chicago’s Middle And High Schools

David E. Kanter, Assistant Professor in Curriculum, Instruction, and Technology in Education (Science Education) College of Education, Temple University, Philadelphia

 

Auditorium

9:45-10:00

Break

 

Atrium

10:00-10:45

Inquiry Teaching as a Dynamic System

Michelle Stephan, 7th grade mathematics teacher, Lawton Chiles Middle School, Florida  & Graduate Associate Professor, University of Central Florida and Diana Underwood-Gregg,  Associate Professor of mathematics education & Director of the Purdue Calumet Center for Mathematics Teaching and Learning, Purdue University Calumet

 

 

Auditorium

10:45-12:20

Open Space:  How can we collaborate to implement the method of learning we talked about here: in my classroom, in my school, & in Maine?

Jon Geiger, Director of Educational Programs and Affiliated Scientist at The Jackson Laboratory, Bar Harbor, Maine

Auditorium & breakout rooms

12:20-12:30

Conference Evaluations (lunch ticket)

 

Auditorium

12:30-1:30

Lunch

Open Space reports

Concluding Remarks

 

Thank you for coming!

 

Atrium

 

 

 

 

Presenters

 

Holly Devaul is Manager of Educational Programs and Services for the Digital Learning Sciences, Digital Library for Earth System Education, University Corporation for Atmospheric Research (http://www.dlese.org).  A graduate of the College of the Atlantic and the University of Maine, she now resides in Boulder, Colorado where she has been engaged in a variety of National Science Foundation-funded science education and technology integration projects for the past 13 years. Previous projects include Kids as Global Scientists, an Internet-enhanced middle school weather curriculum; and the Earth and Space Science Technological Education Project, a teacher professional development training program in GIS, GPS and image processing technologies.  In the digital library world she specializes in user support, collection development, and designing methods to incorporate educational standards information in digital library search services.

 

Karen J. Graham is a Professor of Mathematics at the University of New Hampshire (UNH) and was appointed as the inaugural director of the University’s Joan and James Leitzel Center for Mathematics, Science, and Engineering Education in January 2003. In addition, she directs UNH’s summer Master of Science program for teachers of mathematics.  She holds a Ph.D. in mathematics education from the University of New Hampshire and is an experienced teacher and mathematics education researcher.  Her professional and scholarly interests include the teaching and learning of calculus, mathematics education reform based research, mathematics curriculum evaluation, and mathematics teacher development. Dr. Graham has directed several federal and state-funded projects including the current NSF-funded UNH GK-12 initiative, Promoting Research to Benefit Understanding(PROBE), the  NSF-funded New Hampshire Leadership Network for Mathematics Teachers Grades 5-12 and Making Mathematical Connections in Courses for Prospective Teachers.  Dr. Graham has served on several national, regional, and state committees and has presented numerous lectures and workshops on her work at the state, regional and national level.  In 1998 she was the recipient of New Hampshire Teachers of Mathematics’ Richard H. Balomenos Mathematics Education Service Award for her service to the mathematics education community in New Hampshire. Dr. Graham has served as a member of the documentation and evaluation teams for several national projects including the QUASAR Project funded by the Ford Foundation), the Recognizing and Recording Reform in Mathematics Project funded by NCTM and the Exxon Foundation and the Calculus Consortium Based at Harvard Evaluation and Documentation Project funded by NSF.  She is currently the external evaluator for the Education Development Center’s CME high school curriculum project. 

 

David Hammer is a professor of Physics and Curriculum & Instruction at the University of Maryland in College Park.  He studied physics in college, took a break to teach high school mathematics and physics, then went on to graduate school, first in physics then for his doctorate in Science and Mathematics Education.  His first faculty position was at Tufts University, and in

1998 he moved to the University of Maryland. His research focuses on intuitive “epistemologies” (how students understand knowing and learning) and on how instructors interpret and respond to student thinking.  He is currently pursuing these interests with students and colleagues at levels from elementary school through college physics majors. 

 

David E. Kanter is Assistant Professor in Curriculum, Instruction, and Technology in Education (Science Education) College of Education at Temple University in Philadelphia.  Dr. Kanter arrived at Northwestern University in 1999 by way of a National Science Foundation-funded postdoctoral fellowship in science, math, engineering, and technology education. For his fellowship, in collaboration with the Center for Learning Technologies in Urban Schools and the Engineering Research Center for Bioengineering Educational Technologies, Kanter designed and researched the impact in the Chicago Public Schools of the middle school project-based human biology curriculum, I, Bio. Kanter went on to co-author with Chicago's Museum of Science and Industry the Science Education Partnership "Supporting Student and Teacher Inquiry in Bioscience," during which he designed and researched the impact of the high school inquiry biology curriculum Disease Detectives and related educational software Village Park Mystery. Kanter is currently the Principal Investigator of the BioQ Collaborative, a National Institutes of Health-funded Minority K-12 Initiative for Teachers and Students, focusing on the professional development of middle and high school biology teachers for inquiry biology teaching (http://www.sesp.northwestern.edu/BioQ).  In this context, he teaches courses on Learning and Teaching Human Biology.  He has recently taken the BioQ Collaborative to the School District of Philadelphia, joining the faculty at Temple University.  Kanter studies the design of project-based science curricula to promote students’ meaningful understanding of content and the design of teacher training to promote teachers’ pedagogical content knowledge in support of their expert use of such curricula.

 

Megan Paddack is a Ph. D. candidate in mathematics education at the University of New Hampshire (UNH).  Her scholarly interests include mathematics teacher development and the use of proofs and reasoning in the classroom.  She holds a fellowship in the NSF-funded UNH GK-12 initiative, Promoting Research to Benefit Understanding (PROBE), and leads teacher workshops for the state-funded UNH- Middle School Mathematics Partnership.  She has taught undergraduate mathematics courses at UNH since 2003 and in 2005 she was the recipient of the University of New Hampshire Graduate Teaching Award.  

 

David Pysnik is a chemistry/research instructor at Sidney High School.  He is also an Adjunct instructor at Ithaca College in Ithaca, New York as well as the State University College of New York at Delhi in Delhi, New York.  In addition, he works as a research associate at Cornell University in Ithaca, New York. 

 

Pysnik did his undergraduate work at Juniata College in Huntingdon, Pennsylvania and his graduate studies at Indiana University in Bloomington, Indiana.  Some honors and awards he has received include; Teacher of the Year (Sidney Central School), Rotary International Vocational Service Award, Catalyst Award (Chemical Manufacturers Association), Tandy Technology Scholars Award, American Chemical Society Northeast Regional Award in High School Chemistry Teaching, Presidential Award for Excellence in Science and Mathematics Teaching, James Bryant Conant Award in High School Teaching (American Chemical Society, Service to Mankind Award (East New York District Sertoma, and Outstanding Leadership in Science Education (New York State Leadership Association.

 

He is the author of scores of grants funded by such organizations as New York State Energy and Research Development Authority, Hewlett Packard, Procter and Gamble, Mead-WestVaco, American Chemical Society, National Science Foundation, Camile and Henry Dreyfus Foundation and the Otis A. Thompson Foundation.  His present interests include the development of programs which attract students into the science pipeline.  Two major projects which are ongoing are the Upper Susquehanna Watershed Project and The Sidney Science Express, a mobile chemistry laboratory available to science educators in the southern tier area of New York State. 

 

Donald R. Sprangers is a science teacher at Washington Academy where he teaches chemistry, biology, environmental science, and field ecology.  Mr. Sprangers has 22 years teaching experience and 3 years experience as an industrial chemist.  He earned his bachelors degree in secondary education at the University of Wisconsin, River Falls and his master’s degree in education form the Audubon Expedition Institute, Lesley University in Cambridge, Massachusetts. Sprangers’ master’s thesis involved the development and implementation of a “Sustainable LIFE Curriculum” which is the cornerstone of the Washington Academy Field Ecology Program. 

 

Sprangers earned the Presidential Award for Excellence in Math and Science Teaching in 2003 and is this years’ Maine Agriculture in the Classroom – Teacher of the Year.  In 2002, Sprangers lead his students to first place honors at the National Youth Watershed Summit for their work in Atlantic salmon restoration and habitat improvement.  In 2005, Sprangers and his students embarked on an Earthwatch Expedition to study the “Salmon of the Pacific Northwest” and then presented at the Teacher’s Group Symposium of the 2006 Earthwatch Expedition Annual Convention. 

 

In his private life, Sprangers is an advocate for the environment and his community.  He serves as board member to the Maine Council of the Atlantic Salmon Federation and is secretary of the Downeast Salmon Federation.  He is vice President of the East Machias River Watershed Council and serves on the Education Working Group of the Atlantic Salmon Recovery Team.  Sprangers has also been a member of the Boy Scouts of America for 27 years where he holds volunteer leadership positions at the local and district level.  Sprangers is a husband and father of three children, aged 9 to 20 years of age. His wife, Sherrie is equally passionate about salmon and the restoration of populations and habitat, and the entire family enjoys camping, hunting, and fishing.

 

Michelle Stephan is a 7th grade mathematics teacher at Lawton Chiles Middle School near Orlando, Florida. She has taught middle school mathematics for 3 years. Prior to that, she was a mathematics education professor at Purdue University Calumet and currently resides as a Graduate Associate Professor at the University of Central Florida. Her interests include writing instruction that best supports middle school students’ mathematical development, integrating tools and technology into mathematics classes, and aiding teachers in learning to teach using a mathematical inquiry approach.

 

Diana Underwood is an associate professor of mathematics education and the director of the Purdue Calumet Center for Mathematics Teaching and Learning at Purdue University Calumet (PUC) in Hammond, Indiana.  She has developed curriculum materials for college developmental-level mathematics and for middle school students using the instructional design principles of Realistic Mathematics Education (RME). She also teaches mathematics content and methods courses for elementary and middle school teachers.  She is currently working with two of her colleagues at PUC on a three-year professional development project for teachers of middle level mathematics. She is also the mother of 4 year old twins and she really needs a vacation (HA!)

 

 

 

 

 

 

 

 

 


 

 

Presentations

 

 

Holly Devaul

 

Overview Presentation

Integrating Digital Libraries into Teaching and Learning

This session will focus on getting the most out of digital library features and functions to enhance teaching and learning. In addition to the basics of search and discovery, new features that allow for concept-browsing, educational standards alignment, and customization services for school websites will be demonstrated in the context of the Digital Library for Earth System Education.

 

Interactive Workshop

DLESE Teaching Boxes: the Familiar “Box on the Shelf” Goes Digital

The Digital Library for Earth System Education (DLESE) provides access to high-quality digital resources for teaching and learning about the Earth, offering support and leadership in addressing the national reform agenda for science education. Funded by the National Science Foundation, DLESE (www.dlese.org) provides access to over 12,000 educational resources that comprise a variety of media formats, from text-based lesson plans to sophisticated tools for interactive visualization of authentic scientific data. As part of its education and outreach strategy, DLESE has facilitated the creation of Teaching Boxes: classroom-ready instructional units collaboratively developed by teachers, scientists, and instructional designers (www.teachingboxes.org). Teaching Box activities are designed to model scientific inquiry, allowing teachers to build classroom experiences around data collection and analysis from multiple lines of evidence, and engage students in the process of science. - focusing on gathering and analyzing scientific evidence. Currently six boxes for middle and high school cover plate tectonics, weather, seasonal upwelling, changing sea level, earthquakes, and mountain building. Participants will initially discuss the challenges and benefits of integrating electronic materials into the classroom, practice search skills, and select a topic they teach to focus their explorations as they develop their own lesson using library resources. The workshop will allow for hands-on exploration of the library and the Teaching Box materials.

 

 

 

Karen Graham and Megan Paddack

 

Overview Presentation

The Role of Inquiry in the Teaching and Learning of Mathematics

This session will present an overview of frameworks and recommendations related to the role of inquiry in the mathematics classroom.  The relationship between inquiry, reasoning, and proof will be explored.  Rubrics and continuums developed as part of an NSF-funded project will be discussed.  Other classroom based examples will be presented.

 

 

Interactive Workshop

Implementing and Assessing Inquiry-based Teaching in the Mathematics Classroom

This workshop will provide participants with an opportunity to explore in more depth the role of inquiry in the teaching and learning of mathematics.  Hands-on activities will include examining inquiry continuums, analyzing classroom examples through case studies and video-tapes, and analyzing national/state/local curriculum frameworks with an eye toward inquiry.  Participants will have an opportunity to set personal goals and reflect on how their own practice can be more inquiry-based. 

 

 

 

David Hammer

Monday evening talk

What it Looks like When it Works

It sure isn't the typical outcome, but once in a while a course does some truly wonderful things for a student.  I'll tell the story of Louis, a student from a spring semester introductory course who failed the first midterm, decided to change his approach, and became one of the top students in the class.  Why did it work so well for him, and how can we make it work like that for others?

 

 

Overview Presentation

The Goal of Student Inquiry

The word “inquiry” has become pervasive in science education, but it’s not always clear exactly what it means.  People speak of “guided inquiry” and “inquiry-based science instruction,” where the guidance or instruction is toward some ideas in the canon, and inquiry is the instructional approach toward the goal of students understanding those ideas.  The question that comes up is whether inquiry-based approaches are more or less effective than other options at getting students to understand those ideas. 

 

I’m going to argue that inquiry is better understood as the central substance of what we should be teaching; inquiry is scientific sense-making.  In other words, science is inquiry (and the products of inquiry), and so we shouldn’t see inquiry as tied to instructional method; we should see it as inherent in what we are teaching students to do.  That makes for different questions:  What does inquiry look like, when students are doing it?  What constitutes “better” inquiry, and what will help them do it better?

 

This presentation will focus on instructional diagnoses and decisions with respect to student inquiry. I’ll discuss examples from elementary school and college, to talk about the beginnings of scientific inquiry in children and what becomes of them later. 

 

 

Interactive Workshop

Attending and Responding to Student Thinking

This workshop will pick up where my earlier presentation left off. Participants will watch video excerpts from middle school science classes, offer possible interpretations of the students’ reasoning, diagnose what they seem to be doing well and what they could be doing better, and finally to consider possibilities for how the teacher might respond.  Participants are encouraged to bring a laptop with audio

 

 

 

David E. Kanter

 

Overview Presentation

Learning Biology Using Project-Based Inquiry In Chicago’s Middle And High Schools

This talk explores the extent to which project-based inquiry science (PbIS) curricula designed with supports for students’ inquiry into complex scientific data can help students make sense of such data and ultimately promote their deep understanding of standards-based content.  We review the design of a PbIS middle school life science curriculum, “I, Bio,” and a high school biology curriculum, “Disease Detectives.”  We review quantitative and some qualitative data from classroom enactments of these curricula to gauge the extent to which students deepened their understanding of the standards-based content targeted by these curricula.

 

 

Interactive Workshop

How To Design Project-Based Inquiry Biology Curricula For Meaningful Understanding

Project-based Inquiry Science (PbIS) curricula aim to support students building a meaningful understanding of standards-based science content by making the inquiry-based learning of the content instrumental to completing a project.  However, students involved in a performance PbIS curriculum in particular- in which they have to do or make something- may focus on the performance at the expense of the meaningful understanding of the science content.  This problem can be addressed to some extent in how we design the curriculum itself.  In this interactive workshop, we will learn about curriculum design challenges related to creating students’ demand for the content and providing them with the opportunity to apply the content.  We will then learn about curriculum design approaches for resolving these challenges.  We will do this by doing and reviewing one lesson from the middle school PbIS human biology curriculum, I, Bio.  We will then try our hand at designing a lesson for a high school PbIS human biology curriculum to teach similar content, to practice recognizing the curriculum design challenges and using the curriculum design solutions to resolve them.  We will see how close we come to an existing lesson from the high school PbIS human biology curriculum Disease Detectives. Participants are encouraged to bring a laptop with audio

 

 

 

David Pysnik

 

Overview Presentation

Down by the River – A Multidisciplinary, Collaborative Study of the Upper Susquehanna River Basin

The Upper Susquehanna Watershed Project has been an on-going study for the purpose of comparison of water quality, sediment, and meteorological data for the upper Susquehanna River valley from Otsego Lake to Afton, New York.  Seven public schools districts were invited to participate because of their location on the river.  Meteorological data was gathered at each school using wireless weather stations and the Internet.  Significant precipitation events were predicted by students for timely water sampling by team members and for the purpose of comparison to Doppler radar rainfall estimates.  Water sampling and analysis was also done on a weekly basis for the purpose of studying water quality compared to industrial and agricultural locations and significant precipitation events.  Some of the specific biological and chemical tests included procedures for analyzing bacteria, turbidity, temperature, nitrates, nitrites, ammonia, chlorine, phosphates, and dissolved oxygen.  Rapid bio-assessments were also performed at each site.

 

The study established a baseline for future comparison and analysis.  It revealed specific characteristics of the river during high and low level flow as well as during severe storms.  Except for a few point sources of pollutions, the Upper Susquehanna Watershed proved to be quite healthy unlike lower portions of the river in Pennsylvania and Maryland.  However, our watershed group was the first lab to confirm the initial infestation of zebra mussels in the river. Their overall affect is difficult to predict at this time.

 

Results of the investigation are presented to the school communities involved and to the general public by the students at a mini-conference held once a year at Sidney High School.  Participants also have presented papers, workshops, and poster sessions at local, regional and state conferences.

 

Various pieces of test equipment and materials used in the project will be available for examination or actual use at the conclusion of the presentation.

 

 

Interactive Workshop

Let’s Go Down to the River!

Participants will hike to a local stream and test the water at the site as well as bring back samples to test.  While at the site, characteristics of the water such as pH, dissolved oxygen, and temperature will be determined.  Samples brought back to the lab will be analyzed for phosphate, nitrate, chloride, turbidity, total solids, alkalinity, and conductivity.  The principle analysis techniques will be through the use of Hach kits which involves simple colorimetric comparisons to standard color standards.  However, additional testing of water samples will be done using various types of equipment including selective ion electrodes, fixed and variable wavelength colorimeters and digital probes.  Use of Palm PDA’s and TI-84 calculators, interfaced to test equipment will also be incorporated in the sample study. The participants are also invited to bring samples from their local streams and ponds to test.   

 

 

 

Molly Schauffler

 

Was This Winter Warmer Than Usual?: Finding Evidence From Online Data.

 

We will download, analyze, graph, and interpret online weather and climate data to develop evidence that supports answers to this question.  How would you incorporate these technical skills in your classroom to enhance student inquiry and independent thinking?

 

 

 

Don Sprangers

 

Overview Presentation

Washington Academy’s Sustainable LIFE Curriculum:  Ecological Education in Action

Environmental education ought to change the way people live, not just how they talk” (David Orr), and this is best accomplished through the breaking of boundaries between the disciplines of knowledge, and by involvement in practical, relevant projects that deal with ecological relationships within a community.

 

Ecological literacy in the 21st Century needs to become a National priority.  The Washington Academy Sustainable LIFE Curriculum is a place-based educational program that incorporates topics of ecological concern pertinent to the Downeast Maine bioregion.  A Community Needs Assessment is used to identify environmental issues of ecological importance, survey related resources, and identify potential partner organizations and their roles.  Involving students in the planning and implementation of authentic research that produces a product that will benefit the school, the community, or the sponsoring partner organization(s) leads students to the development of an environmental ethic and the empowerment to transform their worldview, thus preparing students to be environmental leaders working toward a future of sustainable LIFE. 

 

The Washington Academy Sustainable LIFE Curriculum takes a holistic approach to learning and aims to transform the student’s worldview through the development of an environmental ethic. Ecological Literacy begins in childhood. Fostering ecological literacy involves environmental education that is participatory and experiential.  Students involved as stewards of our natural resources grow up to value the gifts of nature that abound them.  This presentation will explain the development and implementation of the Sustainable LIFE Curriculum at Washington Academy High School in East Machias, Maine.  

 

 

Interactive Workshop

Washington Academy’s Sustainable LIFE Curriculum:  Ecological Education in Action

Learn how:

To develop a Sustainable LIFE Curriculum appropriate for your community/bioregion

To conduct a Community Needs Assessment, Greenworks Program, PLT

To prepare and analyze biodiesel in the classroom laboratory

 

 

 

Michelle Stephan and Diana Underwood-Gregg

 

Overview Presentation

Inquiry Teaching as a Dynamic System

 

Teaching mathematical inquiry in classrooms involves an intricate system comprised of students, a teacher and curriculum. In order for an inquiry environment to be most successful, a delicate balance among all three components of the system must be maintained. Such a relationship is more easily said than done. In our presentation and workshop, we will discuss the role that each of these components plays in creating and sustaining a genuine inquiry environment. We will do so using examples from middle school classrooms in which the teachers are attempting to teach using an inquiry approach., some for their first time.

 

 

Interactive Workshop

Providing Learning Opportunities for Middle School Students to Reason Algebraically: An example of the “delicate balance”

 

This session will engage teachers in an exploration of two instructional sequences that were developed by Underwood-Gregg using instructional design principles of Realistic Mathematics Education. Both sequences were designed to promote algebraic reasoning and a deep understanding of conventional algebraic notation.  The first sequence was designed to provide opportunities for students to make sense of equations of the form Ax+B=C where A is a fraction.  The second sequence was designed to promote students' understanding of a coordinate system while simultaneously facilitating their understanding of linear relationships. Underwood-Gregg will engage the teachers in these sequences, discuss RME principles, and discuss her specific instructional intent. 

 

The role of the teacher in introducing both nonstandard and standard notation that represents and supports students’ reasoning is an essential element in the enactment of these sequences.  This can only happen if the teacher initiates the development productive discourse that supports inquiry. The Building Plans sequence was enacted by Stephan with her 7th graders during the 2006-2007 school year.  She will share her students’ work during the sequence and her role in promoting productive classroom discourse.  She will also discuss her deliberate actions during the classroom discourse to introduce notation at key points that would provide learning opportunities for her students to move to the next level in their understanding.