Connections to Assessment

• Inside the Black Box: Raising Standards Through Classroom Assessment
• NCTM Research Briefs
  • Five 'Key Strategies' for Effective Formative Assessment"
  • What Does Research Say the Benefits of Formative Assessment Are?"
  • What is Formative Assessment?"

Improving Student Achievement in Mathematics by Addressing the Needs of English Language Learners (document available to NCSM members only)

Jennifer Johnson

• Problem Based Instruction Task: Accessing children's prior knowledge
• Teaching for Understanding - in an elementary classroom

Key Instruction Shifts of the Common Core State Standards for Mathematics

 MDP: Describing 2 and 3D Shapes (Classifying Shapes)

Teaching for Understanding for by Eric Hart, Ph.D.

• Overview and Setting the Stage - Sets the stage for teaching for understanding. What is teaching for understanding and how do teachers teach for understanding?
• Components of the Nature of Understanding - What does the research say about the nature of understanding? What is understanding?
• The Meaning of Deep Knowledge - Discusses the meaning of deep knowledge. How do teachers teach for both deep conceptual and procedural knowledge?
• Teacher Planning to Teach for Understanding - What important questions should teachers ask themselves as they plan and prepare to teach for understanding?
• How to Teach for Understanding - What does research say are cross discipline attributes of teaching for understanding? What actions should all teachers be engaged in as they teach for understanding?

Connections to Assessment

• Inside the Black Box: Raising Standards Through Classroom Assessment
• NCTM Research Briefs
  • Five 'Key Strategies' for Effective Formative Assessment"
  • What Does Research Say the Benefits of Formative Assessment Are?"
  • What is Formative Assessment?"

Improving Student Achievement in Mathematics by Addressing the Needs of English Language Learners (document available to NCSM members only)

Key Instruction Shifts of the Common Core State Standards for Mathematics

Mary Martensen

• Teaching for Understanding
• Setting the Stage for Problem-based Learning
• Teaching for Understanding in a Student-Centered Classroom
• Teaching for Understanding Interview
• Iowa Core Interview

 Reflections on Factoring

Teaching for Understanding for by Eric Hart, Ph.D.

• Overview and Setting the Stage - Sets the stage for teaching for understanding. What is teaching for understanding and how do teachers teach for understanding?
• Components of the Nature of Understanding - What does the research say about the nature of understanding? What is understanding?
• The Meaning of Deep Knowledge - Discusses the meaning of deep knowledge. How do teachers teach for both deep conceptual and procedural knowledge?
• Teacher Planning to Teach for Understanding - What important questions should teachers ask themselves as they plan and prepare to teach for understanding?
• How to Teach for Understanding - What does research say are cross discipline attributes of teaching for understanding? What actions should all teachers be engaged in as they teach for understanding?

Candy Quality Control

•  Candy Quality Control
•  Candy Quality Control - A Problem-Based Instructional Task

Check That Digit

•  Check That Digit
•  Check That Digit Student Task

Comparing Functions

Connections to Assessment

• Inside the Black Box: Raising Standards Through Classroom Assessment
• NCTM Research Briefs
  • Five 'Key Strategies' for Effective Formative Assessment
  • What Does Research Say the Benefits of Formative Assessment Are?
  • What is Formative Assessment?

Factoring, Quadratics

• Reflections on Factoring: The Process of Factoring, Factored Form, and Prime Quadratics
• How Many Quadratic Factor?
•  Mystery Quadratic
• Analyzing the Quadratic Formula

Ferris Wheel

• Riding a Ferris Wheel and Transforming Functions: Student Handout
• Riding a Ferris Wheel and Transforming Functions: Lesson Plan

 Golf Ball Bounces

 Housing Data Analysis

How Many Quadratic Factor?

Improving Student Achievement in Mathematics by Addressing the Needs of English Language Learners (document available to NCSM members only)

Inverse Functions: Core Ideas

Logarithms

•  Logarithms: Examples of Gentle Gradual Development Through Meaningful Distributed Practice
•  Meaningful Distributed Practice-Concept: Exponents and Logarithms
•  Graphic Logs: Quake Story

 Meaningful Distributed Practice Planning: Graphing Linear Equations & Solving Linear System

Medicine Dosage

•  Medicine Dosage Task
•  Medicine Dosage Task Spreadsheet Showing Different Recursive Models
•  Explanation of Two Recursive Models for Medicine Dosage Task

Megan Balong/Josh Wilkinson

• Teaching for Understanding
• Student Engagement in a High School Math Classroom
• Using the Characteristic of Effective Instruction in planning a lesson

Proof with Multiple Representaions (Fido Problem)

•  Fido Proof Problem
•  Proof: Meaningful and as a Problem-Based Instructional Task

 Ranked-Choice Voting

 Reflections on Factoring

Reflections on Factoring: The Process of Factoring, Factored Form, and Prime Quadratics

Sets, Logic, and Internet Searches

•  Sets, Logic, and Internet Searches
•  Sets, Boolean Operators, and Internet Searches

Skydiving Math

•  Skydiving Math
•  A Recursive View of Skydiving

 Solving Linear Equations - Multiple Methods and Representations

Solving Linear Equations

•  Solving Linear Equations: Teacher and PD Notes
•  Solving Linear Equations: Student Version
•  Solving Linear Equations: Teacher Version

Text Messaging

•  Text Messaging Activity
•  Text Messaging Problem - 4 Plans

 Text Messaging Problem: An Application of Systems of Linear Equations

Teaching for Understanding for by Eric Hart, Ph.D.

• Overview and Setting the Stage - Sets the stage for teaching for understanding. What is teaching for understanding and how do teachers teach for understanding?
• Components of the Nature of Understanding - What does the research say about the nature of understanding? What is understanding?
• The Meaning of Deep Knowledge - Discusses the meaning of deep knowledge. How do teachers teach for both deep conceptual and procedural knowledge?
• Teacher Planning to Teach for Understanding - What important questions should teachers ask themselves as they plan and prepare to teach for understanding?
• How to Teach for Understanding - What does research say are cross discipline attributes of teaching for understanding? What actions should all teachers be engaged in as they teach for understanding?

Improving Student Achievement in Mathematics by Addressing the Needs of English Language Learners (document available to NCSM members only)

Linda Levi

• Video 1: Focus on Questioning
• Video 2: Using Teachers' Questions
• Video 3: Stage 1 - Teacher Centered Classroom
• Video 4: Moving into Stage 2 - Student Answers are Windows to their Thinking
• Video 5: Stage 3 - Questions that Reveal Student Thinking
• Video 6: Student Centered Classrooms Help us Teach for Learner Differences
• Video 7: Teach for Learner Differences - or ALL kids
• Video 8: How Do Students Construct Their Own Knowledge?
• Video 9: Questions that Guide Students as they Construct New Knowledge
• Video 10: Stage 4 - Questioning that Helps Teachers Connect to Students' Understanding

Student-centered classroom - Student communication to explain and justify solutions (Jennifer Johnson video)

Improving Student Achievement in Mathematics by Addressing the Needs of English Language Learners (document available to NCSM members only)

Mary Martensen

• Student-Center Classroom
• Teaching for Understanding in a Student-Centered Classroom

Candy Quality Control

•  Candy Quality Control
•  Candy Quality Control - A Problem-Based Instructional Task

Check That Digit

•  Check That Digit
•  Check That Digit Student Task

Ferris Wheel

• Riding a Ferris Wheel and Transforming Functions: Student Handout
• Riding a Ferris Wheel and Transforming Functions: Lesson Plan

 Golf Ball Bounces

 Housing Data Analysis

Improving Student Achievement in Mathematics by Addressing the Needs of English Language Learners (document available to NCSM members only)

Medicine Dosage

•  Medicine Dosage Task
•  Medicine Dosage Task Spreadsheet Showing Different Recursive Models
•  Explanation of Two Recursive Models for Medicine Dosage Task

Proof with Multiple Representaions (Fido Problem)

•  Fido Proof Problem
•  Proof: Meaningful and as a Problem-Based Instructional Task

 Ranked-Choice Voting

Solving Linear Equations

•  Solving Linear Equations: Teacher and PD Notes
•  Solving Linear Equations: Student Version
•  Solving Linear Equations: Teacher Version

 Text Messaging Problem: An Application of Systems of Linear Equations

Using the Characteristic of Effective Instruction in planning a lesson (Megan Balong/Josh Wilkinson)

Improving Student Achievement in Mathematics by Addressing the Needs of English Language Learners (document available to NCSM members only)

Inside the Black Box: Raising Standards Through Classroom Assessment

Linda Levi

• Video 1: Focus on Questioning
• Video 2: Using Teachers' Questions
• Video 3: Stage 1 - Teacher Centered Classroom
• Video 4: Moving into Stage 2 - Student Answers are Windows to their Thinking
• Video 5: Stage 3 - Questions that Reveal Student Thinking
• Video 6: Student Centered Classrooms Help us Teach for Learner Differences
• Video 7: Teach for Learner Differences - or ALL kids
• Video 8: How Do Students Construct Their Own Knowledge?
• Video 9: Questions that Guide Students as they Construct New Knowledge
• Video 10: Stage 4 - Questioning that Helps Teachers Connect to Students' Understanding

 MDP: Describing 2 and 3D Shapes (Classifying Shapes)

Improving Student Achievement in Mathematics by Addressing the Needs of English Language Learners (document available to NCSM members only)

Inside the Black Box: Raising Standards Through Classroom Assessment

Improving Student Achievement in Mathematics by Addressing the Needs of English Language Learners (document available to NCSM members only)

Inside the Black Box: Raising Standards Through Classroom Assessment

Medicine Dosage

•  Medicine Dosage Task
•  Medicine Dosage Task Spreadsheet Showing Different Recursive Models
•  Explanation of Two Recursive Models for Medicine Dosage Task

Solving Linear Equations

•  Solving Linear Equations: Teacher and PD Notes
•  Solving Linear Equations: Student Version
•  Solving Linear Equations: Teacher Version

Using the Characteristic of Effective Instruction in planning a lesson (Megan Balong/Josh Wilkinson)

 Reflections on Factoring

Rigor and Relevance (Mary Martensen video)

Candy Quality Control

•  Candy Quality Control
•  Candy Quality Control - A Problem-Based Instructional Task

Check That Digit

•  Check That Digit
•  Check That Digit Student Task

Comparing Functions

Ferris Wheel

• Riding a Ferris Wheel and Transforming Functions: Student Handout
• Riding a Ferris Wheel and Transforming Functions: Lesson Plan

 Golf Ball Bounces

 Housing Data Analysis

Inverse Functions: Core Ideas

Medicine Dosage

•  Medicine Dosage Task
•  Medicine Dosage Task Spreadsheet Showing Different Recursive Models
•  Explanation of Two Recursive Models for Medicine Dosage Task

Proof with Multiple Representaions (Fido Problem)

•  Fido Proof Problem
•  Proof: Meaningful and as a Problem-Based Instructional Task

 Ranked-Choice Voting

 Reflections on Factoring

Sets, Logic, and Internet Searches

•  Sets, Logic, and Internet Searches
•  Sets, Boolean Operators, and Internet Searches

Skydiving Math

•  Skydiving Math
•  A Recursive View of Skydiving

Solving Linear Equations

•  Solving Linear Equations: Teacher and PD Notes
•  Solving Linear Equations: Student Version
•  Solving Linear Equations: Teacher Version

Text Messaging

•  Text Messaging Activity
•  Text Messaging Problem - 4 Plans

 Text Messaging Problem: An Application of Systems of Linear Equations

Using the Characteristic of Effective Instruction in planning a lesson (Megan Balong/Josh Wilkinson) 

Assessment Considerations

• Shift in Assessment Practices
• Assessment Considerations: A Student Scenario

Assessment for Learning by Margaret Heritage

• The Voyage
• Clear Learning Intentions
• Eliciting Evidence
• The Just Right Gap
• Putting It All Together

Assessment of Concepts Readings

Connections to Assessment

• Inside the Black Box: Raising Standards Through Classroom Assessment
•  Guide to ESC PowerPoint on Assessment
•  ESC PowerPoint on Assessment
• NCTM Research Briefs
  • Five 'Key Strategies' for Effective Formative Assessment
  • What Does Research Say the Benefits of Formative Assessment Are?
  • What is Formative Assessment?
• Possible Mathematical Assessment Tasks
• Summative Mathematical Assessment Tasks

Formative Assessment

• Lesson Guide
• Lesson - 14 Legs in a Barn
• Small Group Reflection Questions
• Observation Form
• Student Role Cards

Group Task Choose a Common Assessment

Leadership and Learning Center Webinars - The Leadership and Learning website provides links to several webinars - downloads of audio, video, and handouts. Topics include John Hattie's research on what works best in classrooms and how you can be sure that what you are doing will have the greatest impact on student learning; Doug Reeves on both the latest research and observations about how teachers and administrators can make the most effective use of student data; and  how to implement the Common Core standards effectively.

Linda Levi

• Video 1: Focus on Questioning
• Video 2: Using Teachers' Questions
• Video 3: Stage 1 - Teacher Centered Classroom
• Video 4: Moving into Stage 2 - Student Answers are Windows to their Thinking
• Video 5: Stage 3 - Questions that Reveal Student Thinking
• Video 6: Student Centered Classrooms Help us Teach for Learner Differences
• Video 7: Teach for Learner Differences - or ALL kids
• Video 8: How Do Students Construct Their Own Knowledge?
• Video 9: Questions that Guide Students as they Construct New Knowledge
• Video 10: Stage 4 - Questioning that Helps Teachers Connect to Students' Understanding

Smarter Balanced Assessment Consortium

• Tools and Resources
• Publications and Resources

Student Case: Melanie

• Discussion of Student Case - Melanie
• Melanie's Understanding of Place Value
• Assessing Place Value Understanding

Understanding Formative Assessment & Why it Needs to Be a Priority for Every School with Dylan Wiliam - Learn how formative assessment has been proven to improve teacher effectiveness and student learning—and what this can mean for your school.

Assessment for Learning by Margaret Heritage

• The Voyage
• Clear Learning Intentions
• Eliciting Evidence
• The Just Right Gap
• Putting It All Together

Assessment for Learning (Mary Martensen video)

Connections to Assessment

• Inside the Black Box: Raising Standards Through Classroom Assessment
•  Guide to ESC PowerPoint on Assessment
•  ESC PowerPoint on Assessment
• NCTM Research Briefs
  • Five 'Key Strategies' for Effective Formative Assessment
  • What Does Research Say the Benefits of Formative Assessment Are?
  • What is Formative Assessment?
• Possible Mathematical Assessment Tasks
• Summative Mathematical Assessment Tasks

Leadership and Learning Center Webinars - The Leadership and Learning website provides links to several webinars - downloads of audio, video, and handouts. Topics include John Hattie's research on what works best in classrooms and how you can be sure that what you are doing will have the greatest impact on student learning; Doug Reeves on both the latest research and observations about how teachers and administrators can make the most effective use of student data; and  how to implement the Common Core standards effectively.

Smarter Balanced Assessment Consortium

• Tools and Resources
• Publications and Resources

Understanding Formative Assessment & Why it Needs to Be a Priority for Every School with Dylan Wiliam - Learn how formative assessment has been proven to improve teacher effectiveness and student learning—and what this can mean for your school.

Assessment for Learning by Margaret Heritage

• The Voyage
• Clear Learning Intentions
• Eliciting Evidence
• The Just Right Gap
• Putting It All Together

Connections to Assessment

• Inside the Black Box: Raising Standards Through Classroom Assessment
•  Guide to ESC PowerPoint on Assessment
•  ESC PowerPoint on Assessment
• NCTM Research Briefs
  • Five 'Key Strategies' for Effective Formative Assessment
  • What Does Research Say the Benefits of Formative Assessment Are?
  • What is Formative Assessment?
• Possible Mathematical Assessment Tasks
• Summative Mathematical Assessment Tasks

Leadership and Learning Center Webinars - The Leadership and Learning website provides links to several webinars - downloads of audio, video, and handouts. Topics include John Hattie's research on what works best in classrooms and how you can be sure that what you are doing will have the greatest impact on student learning; Doug Reeves on both the latest research and observations about how teachers and administrators can make the most effective use of student data; and  how to implement the Common Core standards effectively.

Smarter Balanced Assessment Consortium

• Tools and Resources
• Publications and Resources

Understanding Formative Assessment & Why it Needs to Be a Priority for Every School with Dylan Wiliam - Learn how formative assessment has been proven to improve teacher effectiveness and student learning—and what this can mean for your school.

Using the Characteristic of Effective Instruction in planning a lesson (Megan Balong/Josh Wilkinson)