October, 2011 Ingham ISD Michigan Mathematics Coordinators and Consultants MSP Update.

October, 2011Ingham ISD

Michigan Mathematics Coordinators and Consultants

MSP Update

Under the DELTA UmbrellaWho’s on First: Building

Curriculum CoherenceHigh School Algebra For AllHS Algebra For All Yr. IISupporting HS Algebra:

Beyond Homework Help and Worksheets

Secondary Lenses on LearningAnnual Mathematics Summit

Events

Developing Excellence in Teaching and Learning Algebra

Gerri Devine [email protected] Dana Gosen [email protected] Valerie Mills [email protected]

Edward Silver [email protected] Adele Sobania [email protected] Jenny Badee [email protected]

Tami Niemi [email protected]

4

Who’s On FirstBuilding Coherence, Connections, and Retention Across Grades


Driving Questions

• How do we teach so much content at each grade level with deep understanding?

• What does it mean to teach algebra in 7th grade, 8th grade, Algebra I and Algebra II? What portion should I be teaching?

• Are their algebraic connections to lessons in earlier grades that I could be drawing on to help teach my content?


Connections & Coherence

• “When students can connect mathematical ideas, their understanding is deeper and more lasting.” (NCTM, 2000 p.64)

• “When students understand the interrelatedness of mathematics, they often have many more strategies available to them when solving problems and insights into mathematical relationships.” (Hiebert, 1997)

• “Through instruction that emphasizes the interrelatedness of mathematical ideas, students not only learn mathematics they also learn about the utility of mathematics.” (NCTM, 2000, p.64)

• “Toward greater focus and coherence” (CCSS, 2010, p.3)Developing Excellence in Teaching and Learning Algebra

DELTA: Building Connections and Coherence

2009-2010 School Year– District Leadership teams meet 5 times to develop 2 to 3

Teaching and Learning Trajectories (TLT)

June 2010 Summer Institute– District Leadership Teams work with their district colleagues to

explore each of the TLT and prepare for the 2010-2011 school year activities.

2010-2011 School Year– District Leadership teams meet 5 times and create 2 to 3

additional TLT– Grade level groups of teachers meet 6 times for District

Dialogues bringing samples of their student’s work on Anchor Tasks to discuss: a) student progress along TLT and b) implications at both the system and classroom levels

Working to build coherence & connections at two levels

• Work at the systems level: – Course curriculum design within and across grades/courses– Course offerings (tracking, acceleration, integrated content)– District Assessment Systems– Collegial conversations within and across grades/courses (District Dialogues)

• Work at the classroom level:– Task selection– Assessment for learning– Identifying misconceptions– Connecting to prior knowledge and future lessons (mathematical language,

tasks, strategies) – Considering next instructional steps for specific students or the whole class


DELTA

Working to build coherence & connections with these tools

• Anchor Tasks with Corresponding Analysis Protocols

• Teaching & Learning Trajectories (TLT)


DELTA

Anchor Tasks with Corresponding Analysis Protocols

“So in the past we‘ve kind of talked about tasks as being a different seventh grade task than an eighth grade task, so this is another way to think about what our anchor tasks could look like. That is, it could be the same task that we use at several grade levels, but the ways in which the students solve the problems might vary, from more graphic and tabular solution strategies, or strategies that are anchored in those representations, to strategies that are more anchored in symbolic representations.”


DELTA Session January 27, 2010

DELTA

Unpacking an Anchor Task

Elyse: Going back to the place where we were graphing the data points, especially if you did them in different colors, the red dots for the apple trees, the dot for the apple trees is going to be below the dot for the pine trees. And then pretty soon the red dots are going to be the ones that are up above the ones for the -- so you could even do that in the seventh grade when you're using the data points on a graph rather than the function plots.

Valerie: So would that be a seventh grade thing, you'd expect them to be looking at the data points? And what about by eighth grade?


DELTA Session January 27, 2010

DELTA

Working to build coherence & connections with these tools

• Teaching & Learning Trajectories (TLT)

“So you might be talking about steepness at the seventh grade. What would the conversation need to look like by the eighth grade? What language would you want to see out on the table describing their reasoning about which one grows more quickly?” DELTA Session January 27, 2010


DELTA

Modeling Strategies for District Dialogues

Participant: Also, putting it in the context of our broader task of figuring out what gets sequenced when, I know all of us get overwhelmed on how much we feel we have to cover, and can you cover multiple representations of everything when you have to cover so much. But if we get the other task done well on where things fall, then I think it allows you more flexibility to dig a little deeper and go into the multiple approaches to problems if you don't feel that you have to cover everything because some of it's been taken care of.

DELTA, November 18, 2009

DELTA


I. Collect, Organize, and Display DataA. Task Prep - Solve task, identify mathematics,

and anticipate student solution strategies and misconceptions

B. Identify productive dimensions of student thinking for analysis (solution strategies, representations, and errors)

C. Sort papers by categories and graphically represent data

II. Systems Level Use data to analyze your students’ progress

along the appropriate Teaching and Learning Trajectory and consider changes in learning opportunities needed to improve student performance.

III. Classroom Level Select representative samples of student work

and consider next steps for individual students or further explorations for a class.

Apple Task:

Students using explicit equations in Grs 7 – Alg. II

From Anchor Tasks to Actionable Data


Sort and Represent Graphically

1. Sort your district papers using the categories the group agreed upon.

2. Create bar graphs to summarize the student approaches across grade levels in your district


Working to build coherence & connections with this tools and

at two levels• Work at the systems level:

– Course curriculum design within and across grades/courses

– Course offerings (tracking, acceleration, integrated content)

– Instructional tasks– Collegial conversations within

and across grades/courses (District Dialogues)

• Work at the classroom level:– Task selection– Assessment for learning– Identifying misconceptions– Connecting to prior knowledge

and future lessons (mathematical language, tasks, strategies)

– Considering next instructional steps for specific students or the whole class

• Anchor Tasks• Teaching and Learning Trajectories (TLT)


DELTA

Who: Math/Science Center TeamsWhen: May 9, 2012Where: Oakland SchoolsWhat:

•DELTA Resources– Teaching and Learning Trajectories– Anchor Tasks– Data Analysis Tools/Protocols

•CCSS Progressions Dr. William McCallum – The University of Arizona


DELTA

“Toward Greater Focus and Coherence”State-wide Dissemination

Save the Date !

Under the DELTA Umbrella

Who’s on First: Building Curriculum Coherence

High School Algebra For AllHS Algebra For All Yr. IISupporting HS Algebra:

Beyond Homework Help and Worksheets

Secondary Lenses on LearningAnnual Mathematics Summit

Events


• Mathematical Tasks Framework (MTF)

• Teacher Analysis of Student Knowledge (TASK)

• Mathematical Representation Star

Stein, Grover & Henningsen (1996)

Smith & Stein (1998)

Stein, Smith, Henningsen & Silver (2000)

Tasks as set up by teachers

Tasks as they appear in curricular materials

Tasks as enacted by teacher and students

Studentlearning


DELTATools to Support and Cohere Project Professional Development Series

Oakland Schools 2012 Mathematics Summit

Assessing the Common Core• Balanced Assessment Consortium Framework•MAPS Assessment Resources

Hugh Burkhardt – Shell CenterOakland SchoolsMay 17, 2012


SAVE THE DATE!

October, 2011 Ingham ISD Michigan Mathematics Coordinators and Consultants MSP Update.

Documents

Transcript of October, 2011 Ingham ISD Michigan Mathematics Coordinators and Consultants MSP Update.