Overview

Interns will conduct three focus lessons. Focus Lesson Three is about Differentiated Instruction (must be taught by intern).

Purpose

The purpose of the focus lessons is to present opportunities for interns to assume instructional leadership early in their internship experience and to reflect on their experiences.

Connections to Standards

Clinical Practice Performance Assessment (CPPA) Standards 1, 2, 3, and 8

1(a) The teacher regularly assesses individual and group performance in order to design and modify instruction to meet learnersÕ needs in each area of development (cognitive, linguistic, social, emotional, and physical) and scaffolds the next level of development.

1(b) The teacher creates developmentally appropriate instruction that takes into account individual learnersÕ strengths, interests, and needs and that enables each learner to advance and accelerate his/her learning.

1(c) The teacher collaborates with families, communities, colleagues, and other professionals to promote learner growth and development. 

1(d) The teacher exhibits knowledge of adolescent learning, development, and behavior and demonstrate a positive disposition toward mathematical processes and learning.

2(a) The teacher incorporates knowledge of individual differences and the cultural and language diversity that exists within classrooms and includes culturally relevant perspectives to design, adapt, and deliver instruction to motivate and engage students, addressing each studentÕs diverse learning strengths and needs to create opportunities for students to demonstrate their learning in different ways.

2(b) The teacher makes appropriate and timely provisions (e.g., pacing for individual rates of growth, task demands, communication, assessment, and response modes) for individual students with particular learning differences or needs.

2(c) The teacher designs instruction to build on learnersÕ prior knowledge and experiences, allowing learners to accelerate as they demonstrate their understandings.

2(d) The teacher brings multiple perspectives to the discussion of content, including attention to learnersÕ personal, family, and community experiences and cultural norms.

2(e) The teacher incorporates tools of language development into planning and instruction, including strategies for making content accessible to English language learners and for evaluating and supporting their development of English proficiency.

2(f) The teacher accesses resources, supports, and specialized assistance and services to meet particular learning differences or needs. 

2(g) The teacher demonstrates equitable and ethical treatment of and high expectations for all students.

3(a) The teacher collaborates with learners, families, and colleagues to build a safe, positive learning climate of openness, mutual respect, support, and inquiry.

3(b) The teacher develops learning experiences that engage learners in collaborative and self-directed learning and that extend learner interaction with ideas and people locally and globally.

3(c) The teacher collaborates with learners and colleagues to develop shared values and expectations for respectful interactions, rigorous academic discussions, and individual and group responsibility for quality work.

3(d) The teacher manages the learning environment to actively and equitably engage learners by organizing, allocating, and coordinating the resources of time, space, and learnersÕ attention.

3(e) The teacher uses a variety of methods to engage learners in evaluating the learning environment and collaborates with learners to make appropriate adjustments.

3(f) The teacher communicates verbally and nonverbally in ways that demonstrate respect for and responsiveness to the cultural backgrounds and differing perspectives learners bring to the learning environment.

3(g) The teacher promotes responsible learner use of instructional tools such as manipulatives and physical models, drawings, virtual environments, spreadsheets, presentation tools, and mathematics-specific technologies (e.g., graphing tools, interactive geometry software, computer algebra systems, and statistical packages) to extend the possibilities for learning locally and globally and make sound decisions about when such tools enhance teaching and learning, recognizing both the insights to be gained and possible limitations of such tools.

8(a) The teacher uses appropriate strategies and resources to adapt instruction to the needs of individuals and groups of learners.  

8(b) The teacher continuously monitors student learning, engages learners in assessing their progress, and adjusts instruction in response to student learning needs.  

8(c) The teacher collaborates with learners to design and implement relevant learning experiences, identify their strengths, and access family and community resources to develop their areas of interest.  

8(d) The teacher varies his/her role in the instructional process (e.g., instructor, facilitator, coach, audience) in relation to the content and purposes of instruction and the needs of learners.  

8(e) The teacher provides multiple models and representations of concepts and skills with opportunities for learners to demonstrate their knowledge through a variety of products and performances.  

8(f) The teacher engages all learners in developing higher order questioning skills and metacognitive processes.  

8(g) The teacher engages students in developmentally appropriate mathematical activities and investigations that require active engagement and include mathematics-specific technology in building new knowledge.

8(h) The teacher uses a variety of instructional strategies to support and expand learnersÕ communication about mathematics through speaking, listening, reading, writing, and other modes.  

8(i) The teacher asks questions to stimulate discussion that serves different purposes (e.g., probing for learner understanding, helping learners articulate their ideas and thinking processes, stimulating curiosity, and helping learners to question). 

8(j) The teacher provides students with opportunities to make connections among mathematics, other content areas, everyday life, and the workplace.

8(k) The teacher implements techniques related to student engagement and communication including selecting high quality tasks, guiding mathematical discussions, identifying key mathematical ideas, identifying and addressing student misconceptions, and employing a range of questioning strategies.

Requirements

Focus Lesson Three: Differentiated Instruction

The focus of this lesson is on how you differentiated instruction to meet the needs of your students.  . Teach a lesson or part of a lesson (this lesson must be taught by the intern).  After the lesson is complete and you have reflected on it with your mentor teacher, construct a short PowerPoint presentation that addresses the following topics:

1.              Overview of the lesson (may be observed rather than taught)

2.              What went well in terms of learner development, learner differences, the learning environment, and the UDL Principle of Multiple Means of Representation (with evidence)

3.              What could be improved in terms of learner development, learner differences, the learning environment, and the UDL Principle of Multiple Means of Representation (with evidence)

4.              Reflection on Mentor feedback.

Process

Focus Lessons are taught at the internÕs field placement and presented in the Mathematics Methods course (EDUC 426/628). 

1.     Choose a lesson to be the substance of the focus lesson.

2.     Teach the lesson (or part of the lesson).

3.     Reflect on the lesson and focus topic with mentor teacher.

4.     Construct a presentation of the four key points for the focus lesson.

5.     Upload the presentation to the Blackboard Discussion board.

6.     Upload the presentation to TK-20.

7.     Read your partnersÕ focus lessons on Blackboard and provide feedback.

8.     Reflect on the feedback you receive on your focus lesson.

Rubric link

Domain

Limited (1)

Developing (2)

Proficient (3)

Exemplary (4)

1(a) The teacher regularly assesses individual and group performance in order to design and modify instruction to meet learnersÕ needs in each area of development (cognitive, linguistic, social, emotional, and physical) and scaffolds the next level of development.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

1(b) The teacher creates developmentally appropriate instruction that takes into account individual learnersÕ strengths, interests, and needs and that enables each learner to advance and accelerate his/her learning.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

1(c) The teacher collaborates with families, communities, colleagues, and other professionals to promote learner growth and development. 

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

1(d) The teacher exhibits knowledge of adolescent learning, development, and behavior and demonstrate a positive disposition toward mathematical processes and learning.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

2(a) The teacher incorporates knowledge of individual differences and the cultural and language diversity that exists within classrooms and includes culturally relevant perspectives to design, adapt, and deliver instruction to motivate and engage students, addressing each studentÕs diverse learning strengths and needs to create opportunities for students to demonstrate their learning in different ways.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

2(b) The teacher makes appropriate and timely provisions (e.g., pacing for individual rates of growth, task demands, communication, assessment, and response modes) for individual students with particular learning differences or needs.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

2(c) The teacher designs instruction to build on learnersÕ prior knowledge and experiences, allowing learners to accelerate as they demonstrate their understandings.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

2(d) The teacher brings multiple perspectives to the discussion of content, including attention to learnersÕ personal, family, and community experiences and cultural norms.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

2(e) The teacher incorporates tools of language development into planning and instruction, including strategies for making content accessible to English language learners and for evaluating and supporting their development of English proficiency.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

2(f) The teacher accesses resources, supports, and specialized assistance and services to meet particular learning differences or needs. 

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

2(g) The teacher demonstrates equitable and ethical treatment of and high expectations for all students.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

3(a) The teacher collaborates with learners, families, and colleagues to build a safe, positive learning climate of openness, mutual respect, support, and inquiry.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

3(b) The teacher develops learning experiences that engage learners in collaborative and self-directed learning and that extend learner interaction with ideas and people locally and globally.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

3(c) The teacher collaborates with learners and colleagues to develop shared values and expectations for respectful interactions, rigorous academic discussions, and individual and group responsibility for quality work.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

3(d) The teacher manages the learning environment to actively and equitably engage learners by organizing, allocating, and coordinating the resources of time, space, and learnersÕ attention.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

3(e) The teacher uses a variety of methods to engage learners in evaluating the learning environment and collaborates with learners to make appropriate adjustments.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

3(f) The teacher communicates verbally and nonverbally in ways that demonstrate respect for and responsiveness to the cultural backgrounds and differing perspectives learners bring to the learning environment.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

3(g) The teacher promotes responsible learner use of instructional tools such as manipulatives and physical models, drawings, virtual environments, spreadsheets, presentation tools, and mathematics-specific technologies (e.g., graphing tools, interactive geometry software, computer algebra systems, and statistical packages) to extend the possibilities for learning locally and globally and make sound decisions about when such tools enhance teaching and learning, recognizing both the insights to be gained and possible limitations of such tools.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

8(a) The teacher uses appropriate strategies and resources to adapt instruction to the needs of individuals and groups of learners.  

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

8(b) The teacher continuously monitors student learning, engages learners in assessing their progress, and adjusts instruction in response to student learning needs.  

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

8(c) The teacher collaborates with learners to design and implement relevant learning experiences, identify their strengths, and access family and community resources to develop their areas of interest.  

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

8(d) The teacher varies his/her role in the instructional process (e.g., instructor, facilitator, coach, audience) in relation to the content and purposes of instruction and the needs of learners.  

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

8(e) The teacher provides multiple models and representations of concepts and skills with opportunities for learners to demonstrate their knowledge through a variety of products and performances.  

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

8(f) The teacher engages all learners in developing higher order questioning skills and metacognitive processes.  

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

8(g) The teacher engages students in developmentally appropriate mathematical activities and investigations that require active engagement and include mathematics-specific technology in building new knowledge.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

8(h) The teacher uses a variety of instructional strategies to support and expand learnersÕ communication about mathematics through speaking, listening, reading, writing, and other modes.  

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

8(i) The teacher asks questions to stimulate discussion that serves different purposes (e.g., probing for learner understanding, helping learners articulate their ideas and thinking processes, stimulating curiosity, and helping learners to question). 

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

8(j) The teacher provides students with opportunities to make connections among mathematics, other content areas, everyday life, and the workplace.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

8(k) The teacher implements techniques related to student engagement and communication including selecting high quality tasks, guiding mathematical discussions, identifying key mathematical ideas, identifying and addressing student misconceptions, and employing a range of questioning strategies.

Demonstrates minimal or no trajectory toward meeting standard on the lesson; Exhibits minimal evidence of attainment of concepts and practice.

Demonstrates trajectory toward meeting standard on the lesson; Exhibits some evidence of attainment of concepts and practice.

Demonstrates that standard is met on the lesson. Exhibits sufficient evidence of attainment of concepts and practice.

Demonstrates that standard is exceeded on the lesson; Exhibits in-depth evidence of attainment of concepts and practice.

Connections to other assessments

1.     EDUC 412: Lesson Plan Adaptation and Reflection

2.     EDUC 426 and Internship: Curriculum Unit Plan

3.     Internship: Enacted Lessons (Portfolio)

4.     Internship: Phase 1 to Phase 2 Transition

Graders

Course Instructor

Additional Resources

Common Core Standards of Mathematics Practice. (2010). http://www.corestandards.org/Math/Practice

Rutherford, P. (2009). Why didnÕt I learn this in college? Teaching and learning in the 21st Century (2nd ed.). Alexandria, VA: Just ASK Publications. http://www.amazon.com/dp/0979728010/ref=rdr_ext_tmb

Shrewsbury, C. M. (1993). What is feminist pedagogy? WomenÕs Studies Quarterly, 3-4, 8-15.

Silver, H. F., Brunsting, J. R., & Walsh, T. (2008). Math tools grades 3-12: 64 ways to differentiate instruction and increase student engagement. Thousand Oaks, CA: Corwin Press.

Silver, H., Strong, R., & Perini, M. (1997). Integrating learning styles and multiple intelligences. Educational Leadership, 55, 22-27.

Smith, M. S., & Stein, M. K. (2011). 5 Practices for orchestrating productive mathematical discussions. Thousand Oaks, CA: Corwin Press. http://www.amazon.com/Practices-Orchestrating-Productive-Mathematics-Discussions/dp/1452202907/ref=sr_1_fkmr0_1?ie=UTF8&qid=1379885714&sr=8-1-fkmr0&keywords=Five+Practices+for+orchestrating+productive+mathematical+discussions.+Thousand+Oaks%2C+CA%3A+Corwin+Press