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CCLD

Colorado Council for Learning Disabilities

Math on the “Planes”® February 2012 Conference

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Welcome to our latest in the series of professional-development opportunities for district and building-level intervention teams including general and special education math teachers, instructional leaders, and interventionists. This series of workshops will increase a team’s capacity for responsive instruction with learners who struggle in math. Participants will work with national and state leaders in the field of mathematics, accessing the most current information on supporting learners within the three-tiered RtI Model.

Using Learning Trajectories to Support Understanding
of Mathematics for All Students

Presented by:

Colorado Council for Learning Disabilities
Colorado Metro Math Intervention Team
Colorado Council for Teachers of Mathematics

Credit: CDE (15 hours) OR Adams State (1 semester hour)
Conference Hours: 7:30 AM - 3:30 PM

Click Here to Register for this Conference

Using Learning Trajectories to Support Understanding
of Mathematics for All Students

Successful implementation of the Common Core State Standards for Mathematics depends on uncovering the embedded learning trajectories and understanding how they relate to the development of student thinking about rational number reasoning from K-8 grade. Proficiency in these topics is essential for success in algebra and beyond. Researchers and technology designers Confrey and Maloney will present learning trajectories posters, and describe assessments, related outcome spaces, and exemplars of student work. They will demonstrate their interactive diagnostic-assessment system that runs on tablets, smart phones, and computers, and show how the use of just-in-time student data can lead to a new generation of data-driven instructional practices that support customized solutions and interventions. Examples from real classrooms are shared with participants with opportunities for questions and discussions.

Dr. Jere Confrey

Dr. Jere Confrey jere_confrey@ncsu.edu is the Joseph D. Moore Distinguished Professor of Mathematics Education at North Carolina State University and a Senior Fellow at the William and Ida Friday Institute for Educational Innovation She is building diagnostic assessments on rational number reasoning using a learning trajectories approach and synthesizing the literature. She chaired the NRC Committee which produced "On Evaluating Curricular Effectiveness," and was a coauthor on the NRC’s "Scientific Research in Education." She was a co-founder of the UTEACH program at the University of Texas in Austin, and founded the SummerMath and SummerMath for Teachers programs at Mount Holyoke College. She has taught school at the elementary, secondary, and postsecondary levels. She received a Ph.D. and M.A. in mathematics education from Cornell University, and B.A. from Duke University.

Dr. Alan Maloney

Dr. Alan Maloney alan_maloney@ncsu.edu joined NC State University in 2007 as Senior Research Fellow at the Friday Institute for Educational Innovation, and Extension Associate Professor of Mathematics Education. His educational background is in biological sciences, he has designed mathematics educational software (including Graphs N Glyphs), and he has been conducting research in mathematics education for the past 10 years. His research interests include synthesis of research on and the design and implementation of diagnostic assessments for rational number reasoning, and the design of innovative technology for mathematics and science education. He is the research coordinator for the Friday Institute’s DELTA math educational group, and co-PI of the LPPSync project. He also serves as coordinator of the Friday Institute’s Brown Bag and Voices of Innovation seminar series. He received his B.S. and Ph.D. in Biological Sciences from Stanford University.

AGENDA

Click here for a Printable Table

Time	Friday, February 24
8:00 am	Introduction and Plan for the Day
8:15 - 10:00 am	Introduction to the Common Core and Learning Trajectories: Not Business as Usual
10:00 - 10:15 am	Break
10:15 am - Noon	Examining Equipartitioning as a Learning Trajectory: the Foundation of Rational Number Reasoning
Noon - 1:00 pm	Lunch
1:00 - 2:00 pm	Representations of Learning Trajectories in the CCSS-M
2:00 - 2:15 pm	Break
2:15 - 3:30 pm	Ratio Reasoning and the Transition to Functions

Time	Saturday, February 25
8:00 - 10:00 am	Implications of Learning Trajectories for Teaching All Students
10:00 - 10:15 am	Break
10:15 - 11:30 am	Team video analysis of Length and Area Measurement
11:30 - 12:15 pm	Working Lunch
12:15 - 1:15 pm	Reporting Back, Q & A, and Wrap-Up
1:15 - 3:00 pm	Teacher Leaders: Designing Professional Development around Learning Trajectories

Introduction to the Common Core and Learning Trajectories: Not Business as Usual
This session will introduce the Common Core State Standards for Mathematics. It will include a review of the mathematical practices, links to international benchmarking, and a discussion of changes in emphasis from previous standards. It will also include discussion of the overall structure of the standards and their use of learning trajectories. The concept of Learning Trajectories will be introduced with a review of distinctions in the research literature.

Examining Equipartitioning as a Learning Trajectory: the Foundation of Rational Number Reasoning
The Learning Trajectory for Equipartitioning (spanning K-5) will be introduced along with video segments illustrating the different proficiency levels. Examples will be offered from equipartitioning curriculum materials along with assessment items. Examples of item generation environments will be demonstrated, along with samples of student work.

Representations of Learning Trajectories in the CCSS-M
This session will introduce two innovative representations of the Common Core Standards. The representations support explication of conceptual learning history, principles, strategies, misconceptions, and bridging, linking, and reference standards. Examples of each will be illustrated, with ties to research.

Ratio Reasoning and the Transition to Functions
The Learning Trajectory for Ratio Reasoning and Functions (spanning Gr. 5-12) will be introduced, along with video segments illustrating the different proficiency levels. Tasks for generating proficiency levels and samples of student work will be presented, along with ties to research.

Implications of Learning Trajectories for Teaching All Students; Examples from a Prototype Interactive Diagnostic Assessment System
This session will review the elements of teaching practices that can support learning trajectories and progress by all students in the classroom. These include development of teachers’ own math knowledge for teaching, examination of curricular materials, selection of instructional tasks, fostering discourse, and formative assessment. The second half of the session will provide a preview of an interactive diagnostic system being developed to support formative diagnostic assessment with learning trajectories. This diagnostic assessment system incorporates the use of wireless devices by students, and data reporting as feedback to teachers (and students).

Team video analysis of Length and Area Measurement
Participants will receive a written version of the Length and Area Measurement learning trajectory on Friday afternoon. During this session on Saturday, video examples will be provided, with opportunities for table-teams of participants to connect the video examples to the learning trajectory.

Teacher Leaders: Designing Professional Development around Learning Trajectories
In this session, participants will explore supporting teachers in developing the behaviors that support learning trajectory progress by all students. These include development of teachers’ own math knowledge for teaching, examination of curricular materials, selection of instructional tasks, fostering discourse, and formative assessment.

Pre-Conference Reading

Fractions Fair Share
CCSSM Length Area Volume Descriptors

PowerPoint Session Presentations:

Common Core State Standards (3up slides with note space)
Common Core State Standards (6up slides)
Equipartitioning as a Learning Trajectory (3up slides with note space)
Equipartitioning as a Learning Trajectory (6up slides)
Representations of Learning Trajectories (3up slides with note space)
Representations of Learning Trajectories (6up slides)
Implications of Learning Trajectories (3up slides with note space)
Implications of Learning Trajectories (6up slides)
Ratio Reasoning and the Transition to Functions (3up slides)
Ratio Reasoning and the Transition to Functions (6up slides)

Conference Rates and Check - In

*Early Registration Deadline: January 20, 2012
Check In: 7:30-8:00
Sessions: 8:00–3:30

Participant	Early Rate	Reg. Rate (after 1/20)
Members of CCLD, CCTM, or IDA	$185	$215
Non-Members	$215	$245

Group rates for districts sending a team of 10 or more: $185 per participant

Conference Fees include breakfast and lunch for each day

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