2007 Mississippi Department of Education 2007 Mississippi Mathematics Framework Revised Training...

2007 Mississippi Department of Education

2007 Mississippi Mathematics Framework Revised Training (Grades 6-12)

Day 2


Reading Reflections

At your table, discuss important ideas you took from the articles you read.

How did the ideas relate to our tasks and discussions from yesterday?

How did the ideas relate to our exploration of the curriculum framework?

Record your ideas on chart paper.


Understanding by Design: Step 1

1. Define desired results a. Establish goals: What relevant goals (such as content,

competencies or objectives) will this design address? b. Understandings: What are the big ideas that students will

understand? What specific understandings about them are desired? What misunderstandings are predictable?

c. Essential questions: What questions will foster inquiry, understanding, and transfer of learning?

d. What key knowledge and skills will students acquire as a result of this unit or series of lessons? What should they eventually be able to do as a result of such knowledge and skills?



2. Assessment Evidence a. Performance tasks: Through what authentic performance tasks

will students demonstrate the desired understandings? By what criteria will performances of understanding be judged?

b. Other evidence: Through what other evidence (such as quizzes, tests, writing prompts) will students demonstrate achievement of the desired results? How will students reflect upon and self-assess their learning?



3. Learning Plan a. Learning activities: What learning experiences and

instruction will enable students to achieve the desired results?


5 Characteristics of Tasks that Affect Student Learning

Introduction of new topics with a problem-solving task

Use of communication strategies Connections across topics Development over time Tasks that challenge


Underlying Learning Theory

Problem-solving focus Introduction of topics with problem solving Inclusion of non-routine and application problems Use of higher-order thinking questions



Use of communication strategies Reading Writing Speaking Critical listening Multiple representations



Connections across topics Links to previous understandings Use of threads or strands through all topics Multiple, linked objectives taught concurrently to

eliminate isolated and fragmented teaching



Allow time to learn 3–8 days of development for a new topic 8–11 days of repetition Problems change qualitatively over time, not the

same type repeated



Tasks that challenge Use open-ended questions to allow a wide group

of students the opportunity to engage in the question or problem


”A child’s zone of proximal development is the distance between his actual development level as determined by independent problem solving and his potential development as determined through problem solving under adult guidance or in collaboration with more capable peers.”

L.S. Vygotsky

Mind in Society: The Development of Higher Psychological Processes

Optimal learning

hard

easy

Comfortable


Curriculum materials

Select a chapter in your curriculum materials.

Find instances or evidence of the 5 characteristics of learning tasks. Be able to support your examples.

Which criteria appear to be missing?


Solving Equations

Solve:

5x – 2 = 10 + 2x


Solving Equations

Solve:5x – 2 = 10 + 2x

A2 5x = 12 + 2x

S2x 3x = 12

D3 x = 4Abbreviations can be used: A Addition S Subtraction M Multiplication D Division CLT Combine Like Terms DPMA Distributive Property of Multiplication over

Addition


Algebra Tile Representations

What relationships do you notice among the tiles?

Discuss in your group.


Curriculum Framework Comparison

How do these tasks relate to the curriculum framework objectives?

How do these tasks relate to the criteria for student learning?


Station 1


Station 2


Station 3


Station 4


Station 5


Comparison to framework and materials

How does this exploration in transformational geometry relate to the curriculum framework?

How does this exploration relate to your curriculum materials?


Closing focus questions

What are key components of the curriculum framework?

Decide at your table what you consider to be critical ideas.

2007 Mississippi Department of Education 2007 Mississippi Mathematics Framework Revised Training...

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