Goal

Students will be able to:

Teaching Standards (DPI#)

NCTM Principles/ Standards

Class Activities/ Performance Tasks

Design questions appropriate for various situations (assessment, promoting classroom discourse), using the language of Bloom

4, 5, 6, 7, 8

Assessment

Teaching

Communication

Reasoning/Proof

Discussion/reading

Mathline video(s)

Unit plan

Lesson teaching

Create and use rubrics to evaluate student math work

3, 8

Assessment

Use existing rubrics to evaluate student work

Unit Plan

Discuss student preparation for and critique standardized exams

8

Assessment

Discussion/reading

 Define various types of portfolios and demonstrate skills necessary to use them effectively to assess mathematics

3, 8

Assessment

Communication

Discussion/reading

Design of entry slip prompt

Discuss how teachers can assess mathematics in situ, informally

2, 3, 5, 8

Assessment

Communication

Discussion/reading

Mathline video(s)

Unit plan

Lesson teaching

Curriculum demos

Compare and contrast various standards-based math texts with one another and with traditional math texts

4, 7

All PSSM, esp. Curriculum

Discussion

Text evaluation follow-up

Curriculum demos

Explain various methods by which districts or teachers choose texts

10

Curriculum

Text evaluation follow-up

Evaluate various resources available for supplementing curriculum programs, including information about research base

4, 7

Curriculum

Teaching

Technology

Text evaluation follow-up

Internet site evaluation

Develop learning trajectories for common mathematical concepts, both specific and general, and anticipate common misconceptions that occur within these

2, 8

Learning

Teaching

Discussion/reading

Unit plan

Apply learning theories (Piaget, Vygotsky, constructivism) to mathematics teaching

3, 4, 7

Learning

Teaching

Discussion/reading

Final exam

Trace the history and basis of the current mathematics reform movement

1

Learning

Teaching

Discussion/reading

Identify the roles of teacher and student in various types of learning (direct instruction, discovery, constructivism)

1, 3, 4, 5, 6, 7

Learning

Teaching

Problem Solving

Communication

Discussion/reading

Curriculum demos

Lesson teaching

Final exam

Form connections with (future) teaching colleagues throughout the state for the purpose of adding to content or methodological knowledge

6, 9,10

Teaching

NPRIME

Conference attendance

Professional development reflection

Develop/choose games that teach while providing motivation and chance for inclusion

5, 7

Equity

Learning

Evaluation of game

Recognize worthwhile mathematical tasks and how to introduce, develop, and extend the concepts contained within them

1, 4, 7

Equity

Learning

Problem Solving

Discussion/reading

Illuminations exploration

Discuss the importance of having clear goals and high expectations for all students in math

3, 7

Equity

Assessment

Discussion/reading

Discuss and evaluate methods for making adjustments for students with special needs, different learning styles & intelligences or for multiple knowledge levels in a class

2, 3, 7

Equity

Teaching

Discussion/reading

Final exam

Formulate and defend a position about the use of calculators and computers in the classroom, demonstrating knowledge of proper and improper use

6, 7

Technology

Teaching

Discussion/reading

Final exam or Position paper

Evaluate and choose manipulatives for use with various concepts and student knowledge bases

2, 3, 7

Representation

Discussion/reading

Manipulative exploration

Recognize that meaningful representation of concepts is key to mathematics teaching

3, 4, 7

Representation

Discussion/reading

Unit plan

Lesson teaching

Describe connections among math concepts and between mathematics and real-world situations

1, 7

Connections

Learning

Discussion/reading

Concept mapping

Unit plan

Final Exam

Describe/demonstrate methods for teaching many common mathematical topics, incorporating ideas in other goals (manipulatives, technology, questioning, multiple strategies, various learning theories)

1, 4, 7

Teaching

Content standards

“How-to” discussions, as requested by students

Reading

Unit plan

Final exam

Lesson teaching

Identify and plan to fill gaps in math/teaching knowledge

9

Assessment

Teaching

Professional development reflection

Evaluate observed mathematics teaching in light of the PSSM

9, 10

All PSSM

Final Exam

Explain the need to develop a positive disposition toward mathematics in themselves and their students

2, 9

Learning

Teaching

Discussion/reading

Professional development reflection

Evaluate various methods of instruction (whole group, small group, individual work) in light of student learning needs and content

3, 4, 5, 7