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Connecting Research to Teaching

Effective Teaching and Learning  Calculus 
Classroom Environment  Geometry 
Technology  Algebra 
Mathematical Connections  Precalculus 
Diversity  Representation 
Problem Solving  Graphing 
Mathematical Communication  Probability 


Effective Teaching and Learning 

Addressing the Equity Principle in the Mathematics Classroom (April 2008)

Conceptual Understanding, Problem Solving, Communication, and Assessment Meet at the Board (February 2007)

Habits in the Classroom (November 2006)

Making the Right (Discourse) Moves: Facilitating Discussions in the Mathematics Classroom (September 2006)

A Study of Note Taking and Its Impact on Student Perception of Use in a Geometry Classroom (May 2006)

Action Research: A Tool for Exploring Change (May 2004)

Do Teachers Need to Incorporate the History of Mathematics in Their Teaching? (September 2003)

Cooperative Learning and Its Effects in a High School Geometry Classroom (February 2003)

When Visualization Is a Barrier to Mathematical Understanding (December 2002)

Computer Algebra Systems in Mathematics Instruction: Implications from Research (November 2002)

The Challenges of Implementing Innovation (December 2000)

A Problem-Based Approach to Mathematics Instruction (September 1999)

Cooperative Learning in Mathematics (March 1999)
 


Classroom Environment

Addressing the Equity Principle in the Mathematics Classroom (April 2008)

Conceptual Understanding, Problem Solving, Communication, and Assessment Meet at the Board (February 2007)

Making the Right (Discourse) Moves: Facilitating Discussions in the Mathematics Classroom (September 2006)

Goals for Achieving Diversity in Mathematics Classrooms (November 2005)

Action Research: A Tool for Exploring Change (May 2004)

Cooperative Learning and Its Effects in a High School Geometry Classroom (February 2003)

A Problem-Based Approach to Mathematics Instruction (September 1999)

Cooperative Learning in Mathematics (March 1999)


Technology

Case Study: Advanced Placement Calculus in the Age of the Computer Algebra System (November 2003)

Computer Algebra Systems in Mathematics Instruction: Implications from Research (November 2002)

Reasoning and Justification, with Examples from Technological Environments (March 2002)

Making Better Use of Computer Tools in Geometry (March 2001)

Using Data-Collection Devices to Enhance Students' Understanding (September 2000)

Kinematics and Graphs: Students' Difficulties and CBLs (May 2000)
 


Mathematical Connections

Enhancing Meaning in Mathematics: Drawing on What Students Know about the Physical World (October 2005)

Using Data-Collection Devices to Enhance Students' Understanding (September 2000)

Kinematics and Graphs: Students' Difficulties and CBLs (May 2000)


Diversity

Addressing the Equity Principle in the Mathematics Classroom (April 2008)

Goals for Achieving Diversity in Mathematics Classrooms (November 2005)


Problem Solving

The When and Why of Using Proportions (March 2008)

Using Polya to Overcome Translation Difficulties (December 2007)

Combinatorial Mathematics: Research into Practice (October 2004)

Moving Beyond Teachers' Intuitive Beliefs about Algebra Learning (March 2000)

A Problem-Based Approach to Mathematics Instruction (September 1999)


Mathematical Communication 

Mathematics: A Second Language (November 2008)   

Conceptual Understanding, Problem Solving, Communication, and Assessment Meet at the Board (February 2007)

Making the Right (Discourse) Moves: Facilitating Discussions in the Mathematics Classroom (September 2006)

Calculus 

Enhancing Meaning in Mathematics: Drawing on What Students Know about the Physical World (October 2005)

Case Study: Advanced Placement Calculus in the Age of the Computer Algebra System (November 2003)

Representations in Calculus: Two Contrasting Cases (September 2002)

Linking Task Characteristics to the Development of Symbol Sense (September 2001)
 


Geometry

A Study of Note Taking and Its Impact on Student Perception of Use in a Geometry Classroom (May 2006)

High School Students' Intuitive Understandings of Geometric Transformations (March 2004)

Making Better Use of Computer Tools in Geometry (March 2001)


Algebra 

Using Polya to Overcome Translation Difficulties (December 2007)

Habits in the Classroom (November 2006)

Computer Algebra Systems in Mathematics Instruction: Implications from Research (November 2002)

Reasoning and Justification, with Examples from Technological Environments (March 2002)

Linking Task Characteristics to the Development of Symbol Sense (September 2001)

Moving Beyond Teachers' Intuitive Beliefs about Algebra Learning (March 2000)

Understanding Algebraic Notation from the Students' Perspective (May 1999)


Precalculus 

Teaching Trigonometric Functions (September 2008)

Graphing Functions with "Messy Data" (May 2008)

What Do Students Really Know about Functions? (December 2001)
 


Representation

When Visualization Is a Barrier to Mathematical Understanding (December 2002)

Representations in Calculus: Two Contrasting Cases (September 2002)


Graphing 

Teaching Trigonometric Functions (September 2008)

Graphing Functions with "Messy Data"  (May 2008)

The When and Why of Using Proportions (March 2008)

Quadratic Functions: Students' Graphic and Analytic Representations (October 2007)  

Habits in the Classroom (November 2006)

Using Data-Collection Devices to Enhance Students' Understanding (September 2000)

Kinematics and Graphs: Students' Difficulties and CBLs (May 2000)


Probability 

Good Things Always Come in Threes: Three Cards, Three Prisoners, Three Doors (February 2006)

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