# Characteristic of Effective Instruction

## On this page...

## Teaching for Understanding

### Elementary

Connections to Assessment

- Inside the Black Box: Raising Standards Through Classroom Assessment
- NCTM Research Briefs

Inside Mathematics: Classroom Videos: Public Lessons - These "public lessons" (a term from Lesson Study practices) have been developed by the Noyce Foundation and are taught by practicing teachers and professional developers. These lessons have been extensively field-tested in multiple settings and refined over time, and are generally presented to an audience of participating students and observing teachers. Most draw on learning tasks developed by the Mathematics Assessment Resource Service (MARS).

Jennifer Johnson

- Accessing children's prior knowledge
- Teaching for Understanding - in an elementary classroom
- Teaching for understanding - Problem solving in Problem-based task

Key Instruction Shifts of the Common Core State Standards for Mathematics - Provides content emphasis by cluster for each grade level. For each grade level clusters are broken down by major clusters, supporting clusters and additional clusters.

Meaningful Distributed Practice (MDP): Describing 2 and 3 D 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?

### Middle

Connections to Assessment

- Inside the Black Box: Raising Standards Through Classroom Assessment
- NCTM Research Briefs

Inside Mathematics: Classroom Videos: Public Lessons - These "public lessons" (a term from Lesson Study practices) have been developed by the Noyce Foundation and are taught by practicing teachers and professional developers. These lessons have been extensively field-tested in multiple settings and refined over time, and are generally presented to an audience of participating students and observing teachers. Most draw on learning tasks developed by the Mathematics Assessment Resource Service (MARS).

Key Instruction Shifts of the Common Core State Standards for Mathematics - Provides content emphasis by cluster for each grade level. For each grade level clusters are broken down by major clusters, supporting clusters and additional clusters.

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

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?

### High

Candy Quality Control

Check That Digit

Connections to Assessment

- Inside the Black Box: Raising Standards Through Classroom Assessment
- NCTM Research Briefs

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

Inside Mathematics: Classroom Videos: Public Lessons - These "public lessons" (a term from Lesson Study practices) have been developed by the Noyce Foundation and are taught by practicing teachers and professional developers. These lessons have been extensively field-tested in multiple settings and refined over time, and are generally presented to an audience of participating students and observing teachers. Most draw on learning tasks developed by the Mathematics Assessment Resource Service (MARS).

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 Systems

Medicine Dosage

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)

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

Sets, Logic, and Internet Searches

Skydiving Math

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 Versions

Text Messaging

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?

## Student-centered Classrooms

### Elementary

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 strategies (Jennifer Johnson video)

### Middle

Mary Martensen

### High

Candy Quality Control

Check That Digit

Ferris Wheel

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

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)

Solving Linear Equations

- Solving Linear Equations: Teacher and PD Notes
- Solving Linear Equations: Student Version
- Solving Linear Equations: Teacher Versions

Text Messaging Problem: An Application of Systems of Linear Equations

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

## Teaching for Student Differences

### Elementary

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

Meaningful Distributed Practice (MDP): Describing 2 and 3 D Shapes

### Middle

Inside the Black Box: Raising Standards Through Classroom Assessment

### High

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 Versions

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

## Rigor and Relevance

**Elementary**

### Middle

Rigor and Relevance (Mary Martensen video)

### High

Candy Quality Control

Check That Digit

Ferris Wheel

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

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)

Sets, Logic, and Internet Searches

Skydiving Math

Solving Linear Equations

- Solving Linear Equations: Teacher and PD Notes
- Solving Linear Equations: Student Version
- Solving Linear Equations: Teacher Versions

Text Messaging

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 for Learning

### Elementary

Assessment for Learning by Margaret Heritage

Connections to Assessment

- Inside the Black Box: Raising Standards Through Classroom Assessment
- Guide to Every Student Counts (ESC) PowerPoint on Assessment
- Every Student Counts (ESC) PowerPoint on Assessment
- NCTM Research Briefs
- Possible Mathematical Assessment Tasks
- Summative Mathematical Assessment Tasks

Formative Assessment Lesson "14 Legs in a Barn"

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

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.

### Middle

Assessment for Learning by Margaret Heritage

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
- 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.

Mathematics Assessment Project - Tools for formative and summative assessment that make knowledge and reasoning visible, and help teachers to guide students in how to improve, and monitor their progress. Includes Classroom Challenges, Professional Development Modules, and Prototype Summative Assessment Tests.

Smarter Balanced Assessment Consortium

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.

### High

Assessment for Learning by Margaret Heritage

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
- 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.

Mathematics Assessment Project - Tools for formative and summative assessment that make knowledge and reasoning visible, and help teachers to guide students in how to improve, and monitor their progress. Includes Classroom Challenges, Professional Development Modules, and Prototype Summative Assessment Tests.

Smarter Balanced Assessment Consortium

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)