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Early Algebraic Thinking: Epistemological, Semiotic, and Developmental Issues
By: Luis Radford
From: S.J. Cho (ed.), The Proceedings of the 12th International Congress on Mathematical Education, 2015

Mathematics vis-à-vis Arithmetics
By: Hanna Savion and Michal Seri
From: International Journal of Learning, Teaching and Educational Research, Vol. 15, No. 12, pp. 1-18, November 2016

Get the GOOF!
By: Michelle H. Pace and Enrique Ortiz
From: Teaching Children Mathematics, Vol. 23, No. 3, October 2016

Middle School Students' Reasoning about Geometric Situations
By: William M. Carroll
From: Mathematics Teaching in the Middle School, Vol. 3 No. 6, March-April 1998

Moving Math in the Write Direction
By: Shannon E. Bostiga, Michelle L. Cantin, Cristina V. Fontana, and Tutia M. Casa
From: Teaching Children Mathematics, Vol. 22, No. 9, May 2016

Fostering Understanding of Variable with Patterns
By: Jessie C. Store, Kerri D. Richardson, and Tyrette S. Carter
From: Teaching Children Mathematics, Vol. 22, No. 7, March 2016

Using Representations of Fraction Multiplication
By: Corey Webel, Erin Krupa, and Jason McManus
From: Teaching Children Mathematics, Vol. 22, No. 6, February 2016

The Language of Mathematics
By: Faye Bruun, Joan M. Diaz, and Valerie J. Dykes
From: Teaching Children Mathematics, Vol. 21, No. 9, May 2015

Just Say Yes to Early Algebra!
By: Ana Stephens, Maria Blanton, Eric Knuth, Isil Isler, Angela Murphy Gardiner
From: Teaching Children Mathematics, Vol. 22, No. 2, September 2015

Three Steps to Mastering Multiplication Facts
By: Gina Kling and Jennifer M. Bay-Williams
From: Teaching Children Mathematics, Vol. 21, No. 9, May 2015

Caution: Venn Diagrams Ahead!
By: Dovie L. Kimmins and J. Jeremy Winters
From: Teaching Children Mathematics,Vol. 21, No. 8, April 2015

Creating Math Talk Communities
By: Erin L. Wagganer
From: Teaching Children Mathematics, Vol. 22, No. 4, November 2015

Models for special needs students
By: Diana L. Treahy and Susan P. Gurganus
From: Teaching Children Mathematics, April 2010

"I Don't Really Know How I Did That!"
By: R. Scott Eberle
From: Teaching Children Mathematics, Vol. 21, No. 7, March 2015

Differentiation for Special Needs Learners
By: LouAnn Lovin, Maggie Kyger, and David Allsopp
From: Teaching Children Mathematics, October 2004

Building Squares and Discovering Patterns
By: David J. Whitin and Phyllis Whitin
From: Teaching Children Mathematics Vol. 21, No. 4, November 2014

Assessing the Scientific Concept of Number in Primary School Children
By: Peter Moxhay
From: ISCAR, 2008 

Fluency Without Fear: Research Evidence on the Best Ways to Learn Math Facts
By: Jo Boaler with the help of Cathy Williams, co-founder youcubed, & Amanda Confer, Stanford University
From: Youcubed, Stanford, 2014

Assessing Basic Fact Fluency
By: Gina Kling and Jennifer M. Bay-Williams
From: Teaching Children Mathematics, Vol. 20, No. 8, April 2014, pp. 488–497

A framework for analyzing the collaborative construction of arguments and its interplay with agency
By: Mary Mueller, Dina Yankelewitz & Carolyn Maher
From: Educational Studies in Mathematics (2012) 80: 369–387

10 Practical Tips for Making Fractions Come Alive and Make Sense
By: Doug M. Clarke, Anne Roche, and Annie Mitchell
From: Mathematics Teaching in the Middle School, 13 (7), March 2008, pp. 373-379

Measurement of Length: How Can We Teach It Better?
By: Constance Kamii
From: 
Teaching Children Mathematics, October 2006.

Interviews as RtI Tools
By: Thomas E. Hodges, Terry D. Rose, and April D. Hicks
From:
Teaching Children Mathematics, August 2012.

The sweetest chocolate milk: A nonroutine fracion problem provides many solution paths.
By: Kristie J. Newton
From: Mathematics Teaching in the Middle School, October 2010.
Early algebra to reach the range of learners.
By: Deborah Schifter, Susan Jo Russell & Virginia Bastable
From: Teaching Children Mathematics, November 2009.
From Inductive Reasoning to Proof.
By: David A. Yopp
From: Mathematics Teaching in the Middle School, December 2009 - January 2010.
Unexpected Riches from a Geoboard Quadrilateral Activity.
By: Barbara J. Britton & Sheryl L. Stump
From: Mathematics Teaching in the Middle School, April 2001. 
A Framework for Analyzing Geometric Pattern Tasks
By: Susan N. Friel & Kimberly A. Markworth
From: Mathematics Teaching in the Middle School, August 2009.
Orchestrating Discussions
By: Margaret S. Smith Elizabeth K. Hughes, Randi A. Engle & Mary Kay Stein
From: Mathematics Teaching in the Middle School, May 2009. 
Using Base-Ten Block Diagrams for Divisibility Tests
By: Marvin E. Harrell & Dawn R. Slavens
From: Teaching Children Mathematics, February 2009.
Making the Most of Story Problems
By: Victoria R. Jacobs & Rebecca C. Ambrose
From: Teaching Children Mathematics, December 2008 - January 2009.
Longing for Division
By: Cornelis de Groot & Timothy Whalen
From: Teaching Children Mathematics, April 2006.
Using the Japanese Lesson Study in Mathematics
By: Heidi Janzen
Nine Ways to Catch Kids Up: How do we help floundering students who lack basic math concepts?
By: Marilyn Burns
From: Educational Leadership, November 2007.
Understanding the Development of Students' Thinking about Length
By: Michael T. Battista
From: Teaching Children Mathematics, April 2007.
The Empty Number Line: A Useful Tool or just Another Procedure?
By: Janette Bobis
From: Teaching Children Mathematics, April 2007.
Five "Key Strategies" for Effective Formative Assessment
By: Dylan Wiliam
From NCTM, 2007.
Why Children Have Difficulties Mastering the Basic Number Combinations and How to
Help Them
By: Arthur J. Baroody
From: Teaching Children Mathematics, August 2006.
Connecting Instructional Practice to Students Thinking
By: Patricia F. Campbell
From: Teaching Children Mathematics ,October 1997.
Quotient and Measurement Interpretations of Rational Numbers
By: Alfinio Flores, Jeffrey Samson & H. Bahadir Yanik
From: Teaching Children Mathematics, August 2006.
Differentiating the Curriculum for Elementary Gifted Mathematics Students
By: Michelle Muller Wilkins, Jesse L.M. Wilkins & Tamra Oliver
From: Teaching Children Mathematics, August 2006.
How Many Days 'till My Birthday? Helping Kindergarten Students Understand Calendar Connections and Concepts
By: Mary Kathleen Barnes
From: Teaching Children Mathematics, February 2006.
One, Some or None: Finding Beauty in Ambiguity
By: Robert M. Berkman
From: Mathematics Teaching in the Middle School, March 2006.
Thinking Algebraically: Across the Elementary School Curriculum
By: June Soares, Maria L. Blanton & James J. Kaput
From: Teaching Children Mathematics, December 2005 - January 2006.
Teaching for Mastery of Multiplication
By: Ann H. Wallace & Susan P. Gurganus
From: Teaching Children Mathematics, August 2005.
Assessing Students' Mathematical Problem Posing
By: Edward A. Silver & Jinfa Cai
From: Teaching Children Mathematics, October 2005.
Some Reflections on Problem Posing - A Conversation with Marion Walter
By: Juliet A. "Jill" Baxter
From: Teaching Children Mathematics, October 2005.
An Alternative to Basic-Skills Remediation
By: Judith E. Hanks
From: Teaching Children Mathematics, April 1996.
Multiplication Games: How we made and used them
By: Constance Kamii & Catherine Anderson
From: Teaching Children Mathematics, November 2003
 
Dividing Fractions: Reconciling Self-Generated Solutions with Algorithmic Answers
By: Marcela D. Perlwitz
From: Mathematics Teaching in the Middle School, February 2005.
From Students' Problem-Solving Strategis to Connections in Fractions
By: Alfinio Flores & Erika Klein
From: Teaching Children Mathematics, May 2005.
Math... Who Wants to Play?
By: Debbie Blalock & Tami Puchta
From:
http://www.goenc.com/
Facts and Algorithms as Products of Students' Own Mathematical Activity
By: Koeno Gravemeijer & Frans van Galen
From: A Research Companion to Principles and Standards for School Mathematics, 2003.
Number Concepts and Special Needs Students: The Power of Ten-Frame Tiles
By: Christine S. Losq
From: Teaching Children Mathematics, February 2005.
Modifying our Questions to Assess Students' Thinking
By: Michaele F. Chappell & Denisse R. Thompson
From: Mathematics Teaching in the Middle School, April 1999.
Representation: An Important Process for Teaching and Learning
By: Francis (Skip) Fennell & Tom Rowan
From: Teaching Children Mathematics, January 2001.
Prisms and Pyramids: Constructing Three-Dimensional Models to Build Understanding
By: Beverly A. Koester
From: Teaching Children Mathematics, April 2003.
Helping Children Understand Ratios
By: Ana Helvia Quintero
From: Arithmetic Teacher, May 1987.
Building Responsibility for Learning in Students with Special Needs
By: Karen Karp & Philip Howell
From: Teaching Children Mathematics, October 2004.
The Importance of Spatial Structuring in Geometric Reasoning
By: Michael T. Battista
From: Teaching Children Mathematics, November 1999.
Students' Understanding of the Relationship between Fractions and Decimals
By: Zvia Markovits & Judith T. Sowder
From: Focus on Learning Problems in Mathematics ,1991.
Transition Points
By: Marion Lee Caldwell
From: Teaching Children Mathematics, December 2003.
Mathematics in the Preschool
By: Douglas H. Clements
From: Teaching Children Mathematics, January 2001.
How Children Think about Division with Fractions
By: Mary Ann Warrington
From: Mathematics Teaching in the Middle School, May1997.
Stop Using Foul Language in the Mathematics Classroom
By: Cheryl A. Hanselman
From: Mathematics Teaching in the Middle School, October 1997.
 
One Point of View - Manipulatives are Good Mathematics!
By: Elizabeth Herbert
From: Arithmetic Teacher, February, 1985.
Concrete Materials and Teaching for Mathematical Understanding
By: Patrick W. Thompson
From: Arithmetic Teacher, May 1994.
Sense and Nonsense about Fractions and Decimals - One Point of View
By: Joseph N. Payne
From: Arithmetic Teacher, January 1980.
Encouraging Perseverance in Elementary Mathematics: A Tale of Two Problems
By: Doug M. Clarke and Barbara A. Clarke
From: Teaching Children Mathematics, December 2003.
Developing Algebraic Reasoning in the Elementary Grades
By: Jinfa Cai
From: Teaching Children Mathematics, December 1998.
What Comes Next? The Mathematics of Pattern in Kindergarten
By: Karen Economopoulos
From: Teaching Children Mathematics, December 1998.
Algebra? A Gate! A Barrier! A Mystery!
From: Mathematics Education Dialogues, April 2000.
An Assessment of Students' Understanding of Angle
By: J.M. Keiser, A. Klee and K. Fitch
From: Mathematics Teaching in the Middle School, February 2003.
Introducing Percents in Linear Measurement to Foster an Understanding of Rational-Number Operations
By: Joan Moss
From: Teaching Children Mathematics, February 2003.
Toward Computational Fluency in Multidigit Multiplication and Division
By: Karen C. Fuson
From: Teaching Children Mathematics, February 2003.
Parts, Wholes and Place Value: A Developmental View
By: Sharon H. Ross
From: Arithmetic Teacher, February 1989.
Estimation - Direction from the Standards
By: Rowan T.E., Reys B.J. & Reys R.E
From: Arithmetic Teacher, March 1990.
A Design for Ratio and Proportion Instruction
By: Dor Abrahamson and Christian Cigan
From: Mathematics Teaching in the Middle School, May 2003.
Teaching Arithmetic
From: About Teaching Mathematics, Second Edition, Part III, 2000.
A Modeling Approach for Enhancing Problem Solving in the Middle Grades
By: Beverly J. Ferrucci, Ban-har Yeap & Jack A. Carter
From: Mathematics Teaching in the Middle School, May 2003.
AREA MODELS - Spanning the Mathematics of grades 3-9.
By: James E. Schultz
From: Arithmetic Teacher, October 1991.
Students' Use of Symbols
By: Deborah A. Carey
From: Arithmetic Teacher, November 1992.
Doing Algebra in Grades K-4
By: Zalman Usiskin
From: Teaching Children Mathematics, February 1997.
Misconceptions about Multiplication and Division
By: Anna O. Graeber
From: Arithmetic Teacher, March 1993.
Creative use of worksheets: Lessons my daughter taught me
By: Ann Anderson
From: Teaching Children Mathematics, October 1995.
Evaluating Instructional Materials
By: J. Bernhard, M. Mellissinos Lernhard & R. Miranda-Decke
From: Mathematics Teaching in the Middle School, November 1999.
Place Value as the Key to Teaching Decimal Operations
By: Judith Sowder
From: Teaching Children Mathematics, April 1997.
Strategies for Basic-Facts Instruction
By: Andrew C. Isaacs & William M. Carroll
From: Teaching Children Mathematics, May 1999.
Place Value and Addition and Subtraction
By: Diana Wearne & James Hiebert
From: Arithmetic Teacher, January 1994.
Developing Spatial Sense through Area Measurement
By: Elizabeth Nitabach & Richard Lehrer
From: Teaching Children Mathematics, April 1996.
Developing Power in Linear Measurement
By: Sydney L. Schwartz
From: Teaching Children Mathematics, March 1995.
The Harmful Effects of Algorithms in Grades 1-4
By: Constance Kamii & Ann Dominick
From: The Teaching and Learning of Algorithms in School Mathematics.
Edited by Lorna J. Morrow. Reston VA. pp.130-140. (1998 Yearbook of the NCTM)
Reform Mathematics vs. The Basics
By: John A. Van de Walle
From: Presentation for the 77th Annual Meeting of NCTM, April, 1999.
Early Number Instruction
By: Arthur J. Baroody & Alexis Benson
From:Teaching Children Mathematics, November 2001.
Understanding Student's Understanding of Graphs
By: Susan N. Friel, George W. Bright & Frances R. Curcio
From: Mathematics Teaching In the Middle School, November - December 1997.
Mathematical Tasks as a Framework for Reflection: From Research to Practice
By: Mary Key Stein and Margaret Schwan Smith
From: Mathematics Teaching In the Middle School, January 1998.
Selecting and Creating Mathematical Tasks: From Research to Practice
By: Margaret Schwan Smith and Mary Key Stein
From: Mathematics Teaching In the Middle School, February 1998.
Problems that Encourage Proportion Sense
By: Esther M. H. Billings
From: Mathematics Teaching In the Middle School, September 2001.
Three Balloons for Two Dollars: Developing Proportional Reasoning
By: C.W. Langrall & J. Swafford
From: Mathematics Teaching in the Middle School, December 2000.
Translating Principles into Practive
By: Deborah E. Schifter & Deborah Carey O'brien
From: Teaching Children Mathematics, December 1997.
Finding the Number of Cubes in Rectangular Cube Buildings
By: Michael Battista & Douglas H. Clements
From: Teaching Children Mathematics, January 1998.
Calculators and Constructivism
By: G.H. Wheatley, D.H. Clements & M.T. Battista
From: Arithmetic Teacher, October 1990.
What do Children Understand about Average?
By: Susan Jo Russell & Jan Mokros
From: Teaching Children Mathematics, February 1996.
Communicating about Fractions with Pattern Blocks
By: Janet H. Caldwell
From: Teaching Children Mathematics, November 1995.
Establishing Fraction Benchmarks
By: B. J. Reys, O.K Kim, & J.M. Bay
From: Mathematics Teaching in the Middle School, May 1999.
Lessons from the TIMSS Videotape Study
By: Eugene A. Geist
From: Teaching Children Mathematics, November 2000.
The Earlist Geometry
By: Douglas H. Clements and Julie Sarama
From: Teaching Children Mathematics, October 2000.
Fractions Attack! Children Thinking and Talking Mathematically
By: P. C. Alcaro, A. S. Alston, & N. Katims
From: Teaching Children Mathematics, May 2000.
Young Children's Ideas about Geometric Shapes
By: Douglas H. Clements & Julia Sarama
From: Teaching Children Mathematics, April 2000.
Ben's Understanding of One-Half
By:Tad Watanabe
From: Teaching Children Mathematics, April 1996.
Implications of Research on Children's Understanding  of Geometry
By: Thomas B. Fox
From: Teaching Children Mathematics, May 2000.
Mental Computation and Number Sense
By: Judith T. Sowder
From: Arithmetic Teacher, March 1990.
Number Sense and Nonsense
Edited by: J. Sowder and L. Sowder, San, Diego State University, U.S.A
Prepared by: Zvia Markovits, Rina Hershkowitz, & Maxim Bruckheimer, Weizmann Institute of
Science, Israel.
From: Arithmetic Teacher, February 1989
Children's Understanding of Equality: A Founndation for Algebra
By: Karen P. Falkner, Linda Levi, & Thomas P. Carpenter
From:
 Teaching Children Mathematics, December 1999.
Learning Geometry: Some Insights Drawn from Teacher Writing
By: Deborah Schifter
From: Teaching Children Mathematics, February 1999.
A Flying Start to Algebra
By: Mollie MacGregor and Kaye Stacey
From: Teaching Children Mathematics, October, 1999.
Improving Instruction Through Brief Interviews
By: Donald M. Peck, Stanley M. Jencks, & Michael L. Connell.
From: Arithmetic Teacher, November, 1989.
Learning Mathematical Language in the Zone of Proximal Development
By: Diana F. Steele
From:
Teaching children mathematics, September 1999.
A Dependency on Technology and Algorithms or Lack of Number Sense?
By: Lynn M. Gordon Calvert
From: Teaching children mathematics, September 1999.
 
Developing Geometric Thinking through Activities that Begin with Play
By: Pierre M. van Hiele
From: Teaching Children Mathematics, February 1999.
Making Charts: Do Your Students Really Understand the Data?
By: Louis Feicht
From: Mathematics teaching in the Middle School, September 1999.
Picture This
By: Martha H.Hopkins
From: Teaching Children Mathematics, February 1998.
Discourse that Promotes Conceptual Understanding
By: Elham Kazemi
From: Teaching Children Mathematics, March 1998.
 
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