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Fraction References

 

 

Alterman, A. E. "The Number 2 Challenge." Arithmetic Teacher 40 (November 1992): 180-183.

Barson, A. and L. Barson. "Ideas" Arithmetic Teacher 35 (January 1988): 19-24.

Bennett, A. and P. Davidson. Fraction Bars Teacher’s Guide. Fort Collins, Colorado: Scott Resources, Inc., 1991.

Bennett A. and Nelson L. Mathematics for Elementary Teachers: An Activity Approach, 5th edition. Boston, Massachusetts: McGraw-Hill, 1998.

Bennett A. and Nelson L. Mathematics for Elementary Teachers: A Conceptual Approach, 5th edition. Boston, Massachusetts: McGraw-Hill, 1998.

Bezuk, N. "Fractions in the Early Childhood Mathematics Curriculum" Arithmetic Teacher 35 (February 1988): 56-60.

Bitner, J., and M. E. Partridge. "`Stocking Up' on Mathematics Skills." Arithmetic Teacher 38 (March 1991): 4-7.

Brinker, L. "Using Recipes and Ratio Tables to Build on Students' Understanding of Fractions" Teaching Children Mathematics 4 (December 1998): 218-224.

Caldwell, J. H. "Communicating About Fractions with Pattern Blocks." Teaching Children Mathematics 2 (November 1995):156-161.

Collyer, S. "Adding Fractions" Mathematics Teaching 116 (September 1986): 9.

Conaway, B., and R.B. Midkiff. "Connecting Literature, Language, and Fractions." Arithmetic Teacher 41 (April 1994): 430-434.

Cramer, K., and N. Bezuk. "Multiplication of Fractions: Teaching for Understanding." Arithmetic Teacher 39 (November 1991): 34-37.

Curcio, F.R., F. Sicklick, and S.B. Turkel. "Divide and Conquer: Unit Strips to the Rescue." Arithmetic Teacher 35 (December 1987): 6-12.

Dirkes, M.A. "Draw to Understand." Arithmetic Teacher 39 (December 1991): 26-29.

Dorgan, D. "What Textbooks Offer for Instruction in Fraction Concepts." Teaching Children Mathematics 1 (November 1994): 150-155.

Edelman, L. "The Fractions of a Day" Mathematics Teaching in the Middle School 3 (November-December 1997): 192-195.

Edge, D. "Fractions and Panes" Arithmetic Teacher 34 (April 1987): 13-17.

Empson, S. "Using Sharing Situations to Help Children Learn Fractions." Teaching Children Mathematics 2 (October 1995): 110-114.

Ettline, J. "A Uniform Approach to Fractions" Arithmetic Teacher 32 (March 1985): 42-43.

Hanselman, C.A. "Stop Using Foul Language in the Mathematics Classroom" Mathematics Teaching in the Middle School 3 (October 1997): 160.

Huinker, D. "Letting Fraction Algorithms Emerge Through Problem Solving" The Teaching and Learning of Algorithms in School Mathematics. 1998 Yearbook of the National Council of Teachers of Mathematics, edited by L.J. Morrow and M.J. Kenney, pp. 170-182. Reston, VA; National Council of Teachers of Mathematics, 1998.

 

 

Kalman, D. "Up Fractions! Up n/m!" Arithmetic Teacher 32 (April 1985): 42-43.

Kamii, C., and M.A. Washington "Teaching Fractions: Fostering Children's Own Reasoning." Developing Mathematical Reasoning in Grades K-12. 1999 Yearbook of the National Council of Teachers of Mathematics, edited by Lee V. Stiff and Frances R. Curcio, pp. 82-92. Reston, VA: National Council of Teachers of Mathematics, 1999.

Kennard, R. "Interpreting Fraction Form" Mathematics Teaching 112 (September 1985): 46-47.

Kroll, D.L., and T. Yabe. "A Japanese Educator's Perspective on Teaching Mathematics in the Elementary School." Arithmetic Teacher 35 (October 1987): 36—43.

Lester, F. "Teacher Education: Preparing Teachers to Teach Rational Numbers" Arithmetic Teacher 31 (February 1984): 54-56.

Mack, N.K. "Making Connections to Understand Fractions" Arithmetic Teacher 40 (February 1993): 362-364.

Mack, N.K. "Building a Foundation for Understanding the Multiplication of Fractions" Teaching Children Mathematics 5 (September 1998): 34-38.

Maher, C. A., R.B. Davis, and A. Alston. "Implementing the Professional Standards for Teaching Mathematics: Teachers Paying Attention to Students' Thinking." Arithmetic Teacher 39 (May 1992): 34-37.

Malcolm, P.S. "Understanding Rational Numbers" Mathematics Teacher 80 (October 1987): 518-521.

McBride, J. W., and C. E. Lamb. "Using Commercial Games to Design Teacher-Made Games for the Mathematics Classroom." Arithmetic Teacher 38 (January 1991): 14-22.

Ockenga, E. "Chalk Up Some Calculator Activities for Rational Numbers." Arithmetic Teacher 31 (February 1984): 51—53.

Ott, J. M., D.L. Snook, and D. L. Gibson. "Understanding Partitive Division of Fractions." Arithmetic Teacher 39 (October 1991): 7-11.

Ott, J.M. "A Unified Approach to Multiplying Fractions," Arithmetic Teacher 37 (March 1990): 47-49.

Payne, J.N. "Curricular Issues: Teaching Rational Numbers." Arithmetic Teacher 31 (February 1984): 14—17.

Payne, J.N., and A.E. Towsley. "Implications of NCTM's Standards for Teaching Fractions and Decimals." Arithmetic Teacher 37 (April 1990): 23-26.

Post, T. "Fractions and Other Rational Numbers" Arithmetic Teacher 37 (September 1989): 3, 28.

Post, T., and K. Cramer. "Children's Strategies in Ordering Rational Numbers" Arithmetic Teacher 35 (October 1987): 33-35.

Pothier, Y., and D. Sawada. "Partitioning: An Approach to Fractions." Arithmetic Teacher 38 (December 1990): 12-17.

Prevost, F. "Teaching Rational Numbers — Junior High School" Arithmetic Teacher 31 (February 1984): 43-46.

Rees, J.M. "Two-sided Pies: Help for Improper Fractions and Mixed Numbers. "Arithmetic Teacher 35 (December 1987): 28—32.

Reys, B. "Promoting Number Sense in the Middle Grades" Mathematics Teaching in the Middle School 1 (September-October, 1994): 114-120.

Reys, B.J., R. Barger, M. Bruckheimer, B. Dougherty, J. Hope, L. Lembke, Z. Markovics, A. Parnas, S. Reehm, R.Sturdevant, and M. Weber. Developing Number Sense. Curriculum and Evaluation Standards for School Mathematics Addenda Series: Grades 5-8. Reston, VA: National Council of Teachers of Mathematics, 1991.

Schultz, J. E. "Area Models -- Spanning the Mathematics of Grades 3-9." Arithmetic Teacher 39 (October 1991): 42-46.

Sharp, J. "A Constructed Algorithm for Division of Fractions" The Teaching and Learning of Algorithms in School Mathematics. 1998 Yearbook of the National Council of Teachers of Mathematics, edited by L.J. Morrow and M.J. Kenney, pp. 198-203. Reston, VA; National Council of Teachers of Mathematics, 1998.

Sowder, J., and B. Schappelle. "Research Into Practice: Number Sense-Making." Arithmetic Teacher 41 (February 1994): 342-345.

Steiner, E.E. "Division of Fractions: Developing Conceptual Sense with Dollars and Cents." Arithmetic Teacher 34 (May 1987): 36—42.

Sweetland, R. "Understanding Multiplication of Fractions" Arithmetic Teacher 32 (September 1984): 48-52.

Thompson, C. and V. Walker. "Connecting Decimals and Other Mathematical Content." Teaching Children Mathematics 2 (April 1996): 496-502.

Trafton, P., J. Zawojewki, R. Reys, and B. Reys. "Estimation with 'Nice' Fractions" Mathematics Teacher 79 (November 1986): 629-630.

Warrington, M.A. "How Children Think About Division with Fractions" Mathematics Teaching in the Middle School 2 (May 1997): 390-394.

Warrington, M.A., and C. Kamii. "Multiplication with Fractions: A Piagetian, Constructivist Approach" Mathematics Teaching in the Middle School 3 (February 1998): 339-343.

Witherspoon, M. L. "Fractions: In Search of Meaning." Arithmetic Teacher 40 (April 1993): 482-485.

Home
Fraction Bars Materials Relating Fractions & Decimals
Interactive Activities National Assessment & Quotations
Interactive Games Fraction References
NCTM Standards on Fractions Fraction Web Links
Teacher Resources About the Author
Student Journals Ordering Information

Please direct questions and comments about this page to ABBJ@cisunix.unh.edu
© Copyright 2001-2009, Albert Bradley Bennett, Jr.
Fraction References Home

Fraction References

 

 

Alterman, A. E. "The Number 2 Challenge." Arithmetic Teacher 40 (November 1992): 180-183.

Barson, A. and L. Barson. "Ideas" Arithmetic Teacher 35 (January 1988): 19-24.

Bennett, A. and P. Davidson. Fraction Bars Teacher’s Guide. Fort Collins, Colorado: Scott Resources, Inc., 1991.

Bennett A. and Nelson L. Mathematics for Elementary Teachers: An Activity Approach, 5th edition. Boston, Massachusetts: McGraw-Hill, 1998.

Bennett A. and Nelson L. Mathematics for Elementary Teachers: A Conceptual Approach, 5th edition. Boston, Massachusetts: McGraw-Hill, 1998.

Bezuk, N. "Fractions in the Early Childhood Mathematics Curriculum" Arithmetic Teacher 35 (February 1988): 56-60.

Bitner, J., and M. E. Partridge. "`Stocking Up' on Mathematics Skills." Arithmetic Teacher 38 (March 1991): 4-7.

Brinker, L. "Using Recipes and Ratio Tables to Build on Students' Understanding of Fractions" Teaching Children Mathematics 4 (December 1998): 218-224.

Caldwell, J. H. "Communicating About Fractions with Pattern Blocks." Teaching Children Mathematics 2 (November 1995):156-161.

Collyer, S. "Adding Fractions" Mathematics Teaching 116 (September 1986): 9.

Conaway, B., and R.B. Midkiff. "Connecting Literature, Language, and Fractions." Arithmetic Teacher 41 (April 1994): 430-434.

Cramer, K., and N. Bezuk. "Multiplication of Fractions: Teaching for Understanding." Arithmetic Teacher 39 (November 1991): 34-37.

Curcio, F.R., F. Sicklick, and S.B. Turkel. "Divide and Conquer: Unit Strips to the Rescue." Arithmetic Teacher 35 (December 1987): 6-12.

Dirkes, M.A. "Draw to Understand." Arithmetic Teacher 39 (December 1991): 26-29.

Dorgan, D. "What Textbooks Offer for Instruction in Fraction Concepts." Teaching Children Mathematics 1 (November 1994): 150-155.

Edelman, L. "The Fractions of a Day" Mathematics Teaching in the Middle School 3 (November-December 1997): 192-195.

Edge, D. "Fractions and Panes" Arithmetic Teacher 34 (April 1987): 13-17.

Empson, S. "Using Sharing Situations to Help Children Learn Fractions." Teaching Children Mathematics 2 (October 1995): 110-114.

Ettline, J. "A Uniform Approach to Fractions" Arithmetic Teacher 32 (March 1985): 42-43.

Hanselman, C.A. "Stop Using Foul Language in the Mathematics Classroom" Mathematics Teaching in the Middle School 3 (October 1997): 160.

Huinker, D. "Letting Fraction Algorithms Emerge Through Problem Solving" The Teaching and Learning of Algorithms in School Mathematics. 1998 Yearbook of the National Council of Teachers of Mathematics, edited by L.J. Morrow and M.J. Kenney, pp. 170-182. Reston, VA; National Council of Teachers of Mathematics, 1998.

 

 

Kalman, D. "Up Fractions! Up n/m!" Arithmetic Teacher 32 (April 1985): 42-43.

Kamii, C., and M.A. Washington "Teaching Fractions: Fostering Children's Own Reasoning." Developing Mathematical Reasoning in Grades K-12. 1999 Yearbook of the National Council of Teachers of Mathematics, edited by Lee V. Stiff and Frances R. Curcio, pp. 82-92. Reston, VA: National Council of Teachers of Mathematics, 1999.

Kennard, R. "Interpreting Fraction Form" Mathematics Teaching 112 (September 1985): 46-47.

Kroll, D.L., and T. Yabe. "A Japanese Educator's Perspective on Teaching Mathematics in the Elementary School." Arithmetic Teacher 35 (October 1987): 36—43.

Lester, F. "Teacher Education: Preparing Teachers to Teach Rational Numbers" Arithmetic Teacher 31 (February 1984): 54-56.

Mack, N.K. "Making Connections to Understand Fractions" Arithmetic Teacher 40 (February 1993): 362-364.

Mack, N.K. "Building a Foundation for Understanding the Multiplication of Fractions" Teaching Children Mathematics 5 (September 1998): 34-38.

Maher, C. A., R.B. Davis, and A. Alston. "Implementing the Professional Standards for Teaching Mathematics: Teachers Paying Attention to Students' Thinking." Arithmetic Teacher 39 (May 1992): 34-37.

Malcolm, P.S. "Understanding Rational Numbers" Mathematics Teacher 80 (October 1987): 518-521.

McBride, J. W., and C. E. Lamb. "Using Commercial Games to Design Teacher-Made Games for the Mathematics Classroom." Arithmetic Teacher 38 (January 1991): 14-22.

Ockenga, E. "Chalk Up Some Calculator Activities for Rational Numbers." Arithmetic Teacher 31 (February 1984): 51—53.

Ott, J. M., D.L. Snook, and D. L. Gibson. "Understanding Partitive Division of Fractions." Arithmetic Teacher 39 (October 1991): 7-11.

Ott, J.M. "A Unified Approach to Multiplying Fractions," Arithmetic Teacher 37 (March 1990): 47-49.

Payne, J.N. "Curricular Issues: Teaching Rational Numbers." Arithmetic Teacher 31 (February 1984): 14—17.

Payne, J.N., and A.E. Towsley. "Implications of NCTM's Standards for Teaching Fractions and Decimals." Arithmetic Teacher 37 (April 1990): 23-26.

Post, T. "Fractions and Other Rational Numbers" Arithmetic Teacher 37 (September 1989): 3, 28.

Post, T., and K. Cramer. "Children's Strategies in Ordering Rational Numbers" Arithmetic Teacher 35 (October 1987): 33-35.

Pothier, Y., and D. Sawada. "Partitioning: An Approach to Fractions." Arithmetic Teacher 38 (December 1990): 12-17.

Prevost, F. "Teaching Rational Numbers — Junior High School" Arithmetic Teacher 31 (February 1984): 43-46.

Rees, J.M. "Two-sided Pies: Help for Improper Fractions and Mixed Numbers. "Arithmetic Teacher 35 (December 1987): 28—32.

Reys, B. "Promoting Number Sense in the Middle Grades" Mathematics Teaching in the Middle School 1 (September-October, 1994): 114-120.

Reys, B.J., R. Barger, M. Bruckheimer, B. Dougherty, J. Hope, L. Lembke, Z. Markovics, A. Parnas, S. Reehm, R.Sturdevant, and M. Weber. Developing Number Sense. Curriculum and Evaluation Standards for School Mathematics Addenda Series: Grades 5-8. Reston, VA: National Council of Teachers of Mathematics, 1991.

Schultz, J. E. "Area Models -- Spanning the Mathematics of Grades 3-9." Arithmetic Teacher 39 (October 1991): 42-46.

Sharp, J. "A Constructed Algorithm for Division of Fractions" The Teaching and Learning of Algorithms in School Mathematics. 1998 Yearbook of the National Council of Teachers of Mathematics, edited by L.J. Morrow and M.J. Kenney, pp. 198-203. Reston, VA; National Council of Teachers of Mathematics, 1998.

Sowder, J., and B. Schappelle. "Research Into Practice: Number Sense-Making." Arithmetic Teacher 41 (February 1994): 342-345.

Steiner, E.E. "Division of Fractions: Developing Conceptual Sense with Dollars and Cents." Arithmetic Teacher 34 (May 1987): 36—42.

Sweetland, R. "Understanding Multiplication of Fractions" Arithmetic Teacher 32 (September 1984): 48-52.

Thompson, C. and V. Walker. "Connecting Decimals and Other Mathematical Content." Teaching Children Mathematics 2 (April 1996): 496-502.

Trafton, P., J. Zawojewki, R. Reys, and B. Reys. "Estimation with 'Nice' Fractions" Mathematics Teacher 79 (November 1986): 629-630.

Warrington, M.A. "How Children Think About Division with Fractions" Mathematics Teaching in the Middle School 2 (May 1997): 390-394.

Warrington, M.A., and C. Kamii. "Multiplication with Fractions: A Piagetian, Constructivist Approach" Mathematics Teaching in the Middle School 3 (February 1998): 339-343.

Witherspoon, M. L. "Fractions: In Search of Meaning." Arithmetic Teacher 40 (April 1993): 482-485.

Home
Fraction Bars Materials Relating Fractions & Decimals
Interactive Activities National Assessment & Quotations
Interactive Games Fraction References
NCTM Standards on Fractions Fraction Web Links
Teacher Resources About the Author
Student Journals Ordering Information

Please direct questions and comments about this page to ABBJ@cisunix.unh.edu
© Copyright 2001-2009, Albert Bradley Bennett, Jr.