References to Articles on Teaching Decimals | |||||||||||

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Most of the references listed below are from the following three official journals of the National Council of Teachers of Mathematics: Teaching Children Mathematics; Mathematics Teaching in the Middle School; and Mathematics Teacher. See nctm@nctm.org for information on individual memberships in the council and obtaining journals. Thumbnails of covers for the three types of journals are shown here.
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## Basic Concepts, Equality, Inequality of Decimals |

Bay, Jennifer M. “Developing Number Sense on the Number Line.” Mathematics Teaching in the Middle School 6 (April 2001): 448-451.
Carraher, T.N. and A.D. Schliemann. “Using Money to Teach about the Decimal System.” Arithmetic Teacher 36 (December 1988): 42—43. Goldenberg, E. P. “A Mathematical Conversation with Fourth Graders.” Arithmetic Teacher 38 (April 1991): 38-43. Hiebert, J. “Research Report: Decimal Fractions.” Arithmetic Teacher 34 (March 1987): 22—23. Lester, F. “Teacher Education: Preparing Teachers to Teach Rational Numbers” Arithmetic Teacher 31 (February 1984): 54-56. Malcom, 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. Payne, J. “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., and K. Cramer. “Children’s Strategies in Ordering Rational Numbers.” Arithmetic Teacher 35 (October 1987): 33—35. Post, T. “Fractions and Other Rational Numbers” Arithmetic Teacher 37 (September 1989): 3, 28. Simms, A.J. “Repeating Decimals into Fractions: A Microwave Recipe.” Mathematics Teacher 80 (January 1987): 61—62. Sowder, J. “Place Value as the Key to Teaching Decimal Operations” Teaching Children Mathematics 3 (April 1997): 448-453. Sullivan, P., and D. Clarke. “Catering to All Abilities Through `Good’ Questions.” Arithmetic Teacher 39 (October 1991): 14-18. Thompson, C.S., and V. Walker. “Connecting Decimals and Other Mathematical Content” Teaching Children Mathematics 2 (April 1996): 496-502. Wesson, J. B., and C. Lawhorn. “Standards in the Methods Class, an Example.” Arithmetic Teacher 40 (September 1992): 38-39. Zawojewski, J. “Initial Decimal Concepts: Are They Really So Easy?” Arithmetic Teacher 30 (March 1983): 52—56. . |

Operations with Decimals |

Lobato, J. E. “Making Connections with Estimation.” Arithmetic Teacher 40 (February 1993): 347-351.
Lyon, B. C. “Creating Magic Squares.” Arithmetic Teacher38 (December 1990): 48-53. Markovits, Z., R. Hershkowitz, and M. Bruckheimer. “Estimation, Qualitative Thinking, and Problem Solving.”Mathematics Teacher 80 (September 1987): 461—464. Moniuszko, L. K. “Reality Math.”Arithmetic Teacher 39 (September 1991): 10-16. Parker, J., and C. C. Widmer. “Teaching Mathematics with Technology: Computation and Estimation.” Arithmetic Teacher 40(September 1992): 48-51. Payne, J. “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. Reys, B.J. and R.E. Reys. “Implementing the Standards: Estimation – Direction from the Standards.” Arithmetic Teacher 37 (March 1990): 22-25. Schultz, J. E. “Area Models — Spanning the Mathematics of Grades 3-9.”Arithmetic Teacher 39 (October 1991): 42-46. Williams, S.E. and J.V. Copely. “Promoting Classroom Dialogue: Using Calculators to Discover Patterns in Dividing Decimals” Mathematics Teaching in the Middle School 1 (April 1994): 72-75. . . |

Ratio, Proportion, and Percent | |||

Bennett, Jr., A. B., and L. T. Nelson. “A Conceptual Model for Solving Percent Problems.” Mathematics Teaching in the Middle School 1 (April 1994): 20-25.
Billings, Esther M. H. “Problems That Encourage Proportion Sense.” Mathematics Teaching in the Middle School 7 (September 2001): 10-14. 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. Carr, M.J. “Get Away from the Table! Make Interest More Interesting.” Mathematics Teacher 79 (December 1986): 703—705. Coburn, T. “Percentage and the Hand Calculator” Mathematics Teacher 79 (May 1986): 361-367. Comstock, M., and F. Demana. “The Calculator Is a Problem-Solving Concept Developer.” Arithmetic Teacher 34 (February 1987): 48—51. Cramer, K., and T. Post. “Making Connections: A Case for Proportionality.” Arithmetic Teacher 40 (February 1993): 342-346. Curcio, F., and N. Bezuk. “Understanding Rational Numbers and Proportions” Curriculum and Evaluation Standards for School Mathematics Addenda Series Grades 5-8 (National Council of Teachers of Mathematics) 1994. Haubner, M. A. “Percents: Developing Meaning Through Models.” Arithmetic Teacher 40 (December 1992): 232-234. Langrall, Cynthia, and Jane Swafford. “Three Balloons for Two Dollars: Developing Proportional Reasoning.” Mathematics Teaching in the Middle School 6 (December 2000): 254-261. Middleton, J. and M. Van Den Heuvel-Panhuizen. “The Ratio Table.” Mathematics Teaching in the Middle School 1 (January-March 1995): 282-287. Miller, Jane L. and James T. Fey. “Proportional Reasoning.” Mathematics Teaching in the Middle School 5 (January 2000): 310-313. Quintero, A. “Helping Children Understand Ratios” Arithmetic Teacher 34 (April 1987): 17-21. Rossini, B. “Using Percent Problems to Promote Critical Thinking” Mathematics Teacher 81 (January 1988): 31-34. Shealy, B.E. “Becoming Flexible with Functions: Investigating United States Population Growth” Mathematics Teacher 89 (May 1996): 414-418. Sherard, Hamp. “How Big Is Bill Gates Fortune?” Mathematics Teaching in the Middle School 6 (December 2000): 250-252. Slovin, Hannah. “Moving to Proportional Reasoning.” Mathematics Teaching in the Middle School 6 (September 2000): 58-60. Stevens, Anthony C., Janet M. Sharp, and Becky Nelson. “The Intersection of Two Unlikely Worlds: Ratios and Drums.” Teaching Children Mathematics 7 (February 2001): 376-383. Strickland, J.F., Jr., and J. Denitto. “The Power of Proportions in Problem Solving.” Mathematics Teacher 82 (January 1989): 11—13. Sweeney, Elizabeth and Robert Quinn. “Concentration: Connecting Fractions, Decimals, and Percents.” Mathematics Teaching in the Middle School 5 (January 2000): 324-328. Wiebe, J. “Manipulating Percentages” Mathematics Teacher 79 (January 1986): 21, 23-26. |

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