adapted from: dawn smith rusd instructional services

42
Adapted from: Dawn Smith RUSD Instructional Services

Upload: myron-miller

Post on 23-Dec-2015

215 views

Category:

Documents


1 download

TRANSCRIPT

Page 1: Adapted from: Dawn Smith RUSD Instructional Services

Adapted from: Dawn SmithRUSD Instructional Services

Page 2: Adapted from: Dawn Smith RUSD Instructional Services

““Talk Amongst Talk Amongst Yourselves”Yourselves”

• What purpose should a math wall serve?

• How should students use it?

• How should teachers use it?

• Who should maintain it?

• Create a list of objectives for your math wall.

Page 3: Adapted from: Dawn Smith RUSD Instructional Services
Page 4: Adapted from: Dawn Smith RUSD Instructional Services

• A Big Idea (unifying concept) is a statement of an idea that is central to the learning of mathematics, one that links numerous mathematics understandings into a coherent whole.

• Each one is written as a statement.• There may be more than one per

topic.

What are Big Ideas?What are Big Ideas?

Page 5: Adapted from: Dawn Smith RUSD Instructional Services

Turn to the complete list of “Big Ideas” are found on

p. 46 of the Overview and Implementation Guide.

These same 20 ideas run through K-6.

Page 6: Adapted from: Dawn Smith RUSD Instructional Services

• Understanding Big Ideas of

mathematics means students

and teachers no longer see

mathematics as a set of

disconnected concepts, skills,

and facts.

Page 7: Adapted from: Dawn Smith RUSD Instructional Services

Big Ideas :

•Provide a Central Focus

•Are motivating

•Promote understanding

•Promote memory

•Promote development of autonomous learners

•Reduce the amount that must be remembered

•Enhance transfer and academic vocabulary

Page 8: Adapted from: Dawn Smith RUSD Instructional Services

Math becomes a coherent set of

ideas.

Page 9: Adapted from: Dawn Smith RUSD Instructional Services

When teaching:

Make connections explicit: transfer previously learned big ideas to new concepts and problem solving situations.

Consistently connect and reinforce throughout the year.

Page 10: Adapted from: Dawn Smith RUSD Instructional Services

Learn how Big Ideas connect across grades, unifying content from previous to subsequent grades.

Page 11: Adapted from: Dawn Smith RUSD Instructional Services

How does it look in practice?Math Big Ideas can be continually used to teach a variety of math skills/processes: they form the center of your “Concept Map.”

This is the starting point for students when learning new math concepts/skills.

Examples include "objects and groups", place-value, area, proportion, (part-whole relationships) estimations, etc.)

Math Big Ideas should be explicitly described and modeled by the teacher. Academic vocabulary must be taught. Include words from the Big Ideas in sentence frames.

How does it look in practice?Math Big Ideas can be continually used to teach a variety of math skills/processes: they form the center of your “Concept Map.”

This is the starting point for students when learning new math concepts/skills.

Examples include "objects and groups", place-value, area, proportion, (part-whole relationships) estimations, etc.)

Math Big Ideas should be explicitly described and modeled by the teacher. Academic vocabulary must be taught. Include words from the Big Ideas in sentence frames.

Page 12: Adapted from: Dawn Smith RUSD Instructional Services

Use the Essential Question to set the objective. Teacher Use the Essential Question to set the objective. Teacher

checks for understanding throughout the lesson.checks for understanding throughout the lesson.

Page 13: Adapted from: Dawn Smith RUSD Instructional Services

Essential Question is posed prior to Interactive Essential Question is posed prior to Interactive Learning:Learning:

“How can you write a fraction as a decimal?”“How can you write a fraction as a decimal?”

Page 14: Adapted from: Dawn Smith RUSD Instructional Services

The Essential Question sets the objective for student learning.

All students should understand that they will be expected to ANSWER that question by the end of the lesson, using correct VOCABULARY while providing an EXAMPLE.

Page 15: Adapted from: Dawn Smith RUSD Instructional Services

Essential Question is repeated in Part 3 and Essential Question is repeated in Part 3 and in student text. Reference it again. Are in student text. Reference it again. Are there any students prepared to answer?there any students prepared to answer?

Page 16: Adapted from: Dawn Smith RUSD Instructional Services
Page 17: Adapted from: Dawn Smith RUSD Instructional Services

Answering the question is Part 2 of the objective- demonstrating understanding.

Explain to a partner Write to Explain Journal notes Ticket out the door… Format answer to accommodate time and need.

Page 18: Adapted from: Dawn Smith RUSD Instructional Services

Students can record their own version of the concept map

Page 19: Adapted from: Dawn Smith RUSD Instructional Services

Students should employ Q.A.R. and correct vocabulary when framing their answer. Use examples from Interactive Learning to post on the Math Wall.

Page 20: Adapted from: Dawn Smith RUSD Instructional Services

What are your ideas for organizing a concept wall (Interactive Math Wall) in your classroom?

Discuss ideas for having students record their answers to the essential question.

• Partners?

• Demonstrate with manipulatives?

• Work in teams?

Page 21: Adapted from: Dawn Smith RUSD Instructional Services

ALL students should ORALLY be able to answer the question at the end of each lesson.

Page 22: Adapted from: Dawn Smith RUSD Instructional Services
Page 23: Adapted from: Dawn Smith RUSD Instructional Services

There are many ways to preserve the content of your concept map after the topic. One way is with an Inspiration® organizer that is posted. Students could also use one as a template.

Page 24: Adapted from: Dawn Smith RUSD Instructional Services

1st Grade

5th Grade

The Mathematical Processes Big Idea is the same for every topic at every grade.

Post it permanently!

Page 25: Adapted from: Dawn Smith RUSD Instructional Services

Some examples (not an exhaustive

list!)

Page 26: Adapted from: Dawn Smith RUSD Instructional Services
Page 27: Adapted from: Dawn Smith RUSD Instructional Services
Page 28: Adapted from: Dawn Smith RUSD Instructional Services
Page 29: Adapted from: Dawn Smith RUSD Instructional Services
Page 30: Adapted from: Dawn Smith RUSD Instructional Services
Page 31: Adapted from: Dawn Smith RUSD Instructional Services
Page 32: Adapted from: Dawn Smith RUSD Instructional Services
Page 33: Adapted from: Dawn Smith RUSD Instructional Services
Page 34: Adapted from: Dawn Smith RUSD Instructional Services
Page 35: Adapted from: Dawn Smith RUSD Instructional Services
Page 36: Adapted from: Dawn Smith RUSD Instructional Services

Prior to adding student content; it might be preferable to post EQ’s each day as you ask them. (Blank space is ok!)

Page 37: Adapted from: Dawn Smith RUSD Instructional Services

Student Examples

(It helps if they are larger)

Page 38: Adapted from: Dawn Smith RUSD Instructional Services

Early in the topic

Page 39: Adapted from: Dawn Smith RUSD Instructional Services

By the end of the topic

Properties or key ideas remain all year

Page 40: Adapted from: Dawn Smith RUSD Instructional Services
Page 41: Adapted from: Dawn Smith RUSD Instructional Services
Page 42: Adapted from: Dawn Smith RUSD Instructional Services

PHOTO OF YOUR MATH WALL HERE.

For more information or to schedule a training at your site,Contact Dawn Smith951.788.7315 Ex. [email protected]