Pre-K to grade 2 goals and standards: Achieving 21st-century mastery for all

Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education

Volumn , Issue , 2003, Pages 105-148

  Fuson, Karen C ^a  

^a NORTHWESTERN UNIVERSITY   (United States)

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EID: 84909046103     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (47)

1. Beishuizen, M. (1993). Mental strategies and materials or models for addition and subtraction up to 100 in Dutch second grades. Journal for Research in Mathematics Education, 24, 294-323.
2. Beishuizen, M., Gravemeijer, K.P.E., & van Lieshout, E.C.D.M. (Eds.). (1997). The role of contexts and models in the development of mathematical strategies and procedures. Utretch, Netherlands: CD-B Press/The Freudenthal Institute.
3. Bergeron, J.C., & Herscovics, N. (1990). Psychological aspects of learning early arithmetic. In P.Nesher & J.Kilpatrick (Eds.), Mathematics and cognition: A research synthesis by the International Group for the Psychology of Mathematics Education. Cambridge, England: Cambridge University Press.
4. Brownell, W.A. (1987). AT Classic: Meaning and skill-Maintaining the balance. Arithmetic Teacher, 34(8), 18-25.
5. Carpenter, T.P., Franke, M.L., Jacobs, V., & Fennema, E. (1998). A longitudinal study of invention and understanding in children's multidigit addition and subtraction. Journal for Research in Mathematics Education, 29, 3-20.
6. Dixon, R.C., Carnine, S.W., Kameenui, E.J., Simmons, D.C., Lee, D-S., Wallin, J., & Chard, D. (1998). Executive summary: Report to the California State Board of Education: Review of high quality experimental research. Eugene, OR: National Center to Improve the Tools of Educators.
7. Fuson, K.C. (1986a). Roles of representation and verbalization in the teaching of multi-digit addition and subtraction. European Journal of Psychology of Education, 1, 35-56.
8. Fuson, K.C. (1986b). Teaching children to subtract by counting up. Journal for Research in Mathematics Education, 17, 172-189.
9. Fuson, K.C. (1990). Conceptual structures for multiunit numbers: Implications for learning and teaching multidigit addition, subtraction, and place value. Cognition and Instruction, 7, 343-403.
10. Fuson, K.C. (1992a). Research on learning and teaching addition and subtraction of whole numbers. In G.Leinhardt, R.T.Putnam, & R.A.Hattrup (Eds.), The analysis of arithemetic for mathematics teaching (pp. 53-187). Hillsdale, NJ: Lawrence Erlbaum Associates.
11. Fuson, K.C. (1992b). Research on whole number addition and subtraction. In D.Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 243-275). New York: Macmillan.
12. Fuson, K.C. (2003). Developing mathematical power in whole number operations. In J.Kilpatrick, W.Martin, & D.Shifter (Eds.), A research companion to Principles and Standards for School Mathematics (pp. 68-94). Reston, VA: National Council of Teachers of Mathematics.
13. Fuson, K.C., & Briars, D.J. (1990). Base-ten blocks as a first- and second-grade learning/teaching approach for multidigit addition and subtraction and place-value concepts. Journal for Research in Mathematics Education, 21, 180-206.
14. Fuson, K.C., & Burghardt, B.H. (1993). Group case studies of second graders inventing multidigit addition procedures for base-ten blocks and written marks. In J.R.Becker & B.J.Pence (Eds.), Proceedings of the Fifteenth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 240-246). San Jose, CA: The Center for Mathematics and Computer Science Education, San Jose State University.
15. Fuson, K.C., & Burghardt, B.H. (1997). Group case studies of second graders inventing multidigit subtraction methods. In J.A.Dossey, J.O.Swafford, M.Parmantie, & A.E. Dossey (Eds.), Proceedings of the 19th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 291-298). Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education.
16. Fuson, K.C., & Burghardt, B.H. (in press). Multi-digit addition and subtraction methods invented in small groups and teacher support of problem solving and reflection. In A. Baroody & A.Dowker (Eds.), The development of arithmetic concepts and skills: Constructing adaptive expertise. Mahwah, NJ: Lawrence Erlbaum Associates.
17. Fuson, K.C., De La Cruz, Y., Smith, S., Lo Cicero, A., Hudson, K., Ron, P., & Steeby, R. (2000). Blending the best of the 20th century to achieve a Mathematics Equity Pedagogy in the 21st century. In M.J.Burke & F.R.Curcio (Eds.), Learning mathematics for a new century (pp. 197-212). Reston, VA: National Council of Teachers of Mathematics.
18. Fuson, K.C., Grandau, L., & Sugiyama, P. (2001). Achievable numerical understandings for all young children. Teaching Children Mathematics, 7(9), 522-526.
19. Fuson, K.C., Lo Cicero, A., Hudson, K., & Smith, S.T. (1997). Snapshots across two years in the life of an urban Latino classroom. In Hiebert, J., Carpenter, T., Fennema, E., Fuson, K.C., Weame, D., Murray, H., Olivier, A., & Human, P. (Eds.), Making sense: Teaching and learning mathematics with understanding (pp. 129-159). Portsmouth, NH: Hienemann.
20. Fuson, K.C., Smith, S.T., & Lo Cicero, A. (1997). Supporting Latino first graders' ten-structured thinking in urban classrooms. Journal for Research in Mathematics Education, 28, 738-760.
21. Fuson, K.C., Stigler, J., & Bartsch, K. (1988). Grade placement of addition and subtraction topics in Japan, mainland China, the Soviet Union, Taiwan, and the United States. Journal for Research in Mathematics Education, 19(5), 449-456.
22. Fuson, K.C., Weame, D., Hiebert, J., Murray, H., Human, P., Olivier, A., Carpenter, T., & Fennema, E. (1997). Children's conceptual structures for multidigit numbers and methods of multidigit addition and subtraction. Journal for Research in Mathematics Education, 28, 130-162.
23. Geary, D.C. (1994). Children's mathematical development: Research and practical applications. Washington, DC: American Psychological Association.
24. Ginsburg, H.P., & Allardice, B.S. (1984). Children's difficulties with school mathematics. In B. Rogoff & J.Lave (Eds.), Everyday cognition: Its development in social contexts (pp. 194-219). Cambridge, MA: Harvard University Press.
25. Ginsburg, H.P., & Russell, R.L. (1981). Social class and racial influences on early mathematical thinking. Monographs of the Society for Research in Child Development, 44(6, Serial no. 193).
26. Goldman, S.R., Hasselbring, T.S., & the Cognition and Technology Group at Vanderbilt (1997, March/ April). Achieving meaningful mathematics literacy for students with learning disabilities. Journal of Learning Disabilities, 30(2), 198-208.
27. Goldman, S.R., Pellegrino, J.W., & Mertz, D.L. (1988). Extended practice of basic addition facts: Strategy changes in learning-disabled students. Cognition and Instruction, 5(3), 223-265.
28. Hamann, M S., & Ashcraft, M.H. (1986). Textbook presentations of the basic addition facts. Cognition & Instruction, 3, 173-192.
29. Hiebert, J., Carpenter, T., Fennema, E., Fuson, K.C., Wearne, D., Murray, H., Olivier, A., & Human, P. (1997). Making sense: Teaching and learning mathematics with understanding. Portsmouth, NH: Hienemann.
30. Hiebert, J., & Wearne, D. (1986). Procedures over concepts: The acquisition of decimal number knowledge. In J.Hiebert (Ed.), Conceptual and procedural knowledge: The case of mathematics (pp. 199-223). Hillsdale, NJ: Lawrence Erlbaum Associates.
31. Kameenui, E.J., & Carnine, D.W. (Eds.), (1998). Effective teaching strategies that accommodate diverse learners. Upper Saddle River, NJ: Prentice-Hall.
32. Kerkman, D.D., & Siegler, R.S. (1993). Individual differences and adaptive flexibility in lower-income children's strategy choices. Learning and Individual Differences, 5(2), 113-136.
33. Knapp, M.S. (1995). Teachng for meaning in high-poverty classrooms. New York: Teachers College Press.
34. Lo Cicero, A., De La Cruz, Y., Fuson, K.C. (1999). Teaching and learning creatively with the Children's Math Worlds Curriculum: Using children's narratives and explanations to co-create understandings. Teaching Children Mathematics, 5(9), 544-547.
35. Lo Cicero, A., Fuson, K.C., & Allexaht-Snider, M. (1999). Making a difference in Latino children's math learning: Listening to children, mathematizing their stories, and supporting parents to help children. In L.Ortiz-Franco, N.G.Hernendez, & Y.De La Cruz (Eds.), Changing the faces of mathematics: Perspectives on Latinos (pp. 59-70). Reston, VA: National Council of Teachers of Mathematics.
36. McClain, K., Cobb, P., & Bowers, J. (1998). A contextual investigation of three-digit addition and subtraction. In L.Morrow (Ed.) Teaching and learning of algorithms in school mathematics (pp. 141-150). Reston, VA: National Council of Teachers of Mathematics.
37. McKnight, C.C., Crosswhite, F.J., Dossey, J.A., Kifer, E. Swafford, J.O., Travers, K.T., & Cooney, T.J. (1989). The underachieving curriculum: Assessing U.S. school mathematics from an international perspective. Champaign, IL: Stipes.
38. McKnight, C.C., & Schmidt, W.H. (1998). Facing facts in U.S. science and mathematics education: Where we stand, where we want to go. Journal of Science Education and Technology, 7(1), 57-76.
39. National Research Council. (2001). Adding it up: Helping children learn mathematics, Washington, DC: National Academy Press.
40. Peak, L. (1996). Pursuing excellence: A study of the U.S. eighth-grade mathematics and science teaching, learning, curriculum, and achievement in an international context. Washington, DC: National Center for Educational Statistics.
41. Resnick, L.B., & Omanson, S.F. (1987). Learning to understand arithmetic. In R.Glaser (Ed.), Advances in instructional psychology (Vol. 3, pp. 41-95). Hillsdale, NJ: Lawrence Erlbaum Associates.
42. Ron, P. (1998). My family taught me this way. In L.J.Morrow & M.J.Kenney (Eds.), The teaching and learning of algorithms in school mathematics (pp. 115-119). Reston, VA: National Council of Teachers of Mathematics.
43. Secada, W.G. (1992). Race, ethnicity, social class, language, and achievement in mathematics. In D.Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 623-660). New York: Macmillan.
44. Siegler, R.S. (1988). Individual differences in strategy choices: Good students, not-so-good students, and perfectionists. Child Development, 59(4), 833-851.
45. Steffe, L.P., Cobb, P., & von Glasersfeld, E. (1988). Construction of arithmetical meanings and strategies. New York: Springer-Verlag.
46. Stigler, J.W., Fuson, K.C., Ham, M., & Kim, M.S. (1986). An analysis of addition and subtraction word problems in American and Soviet elementary mathematics textbooks. Cognition and Instruction, 3(3), 153-171.
47. Zucker, A.A. (1995). Emphasizing conceptual understanding and breadth of study in mathematics instruuction. In M.S.Knapp (Ed.), Teaching for meaning in high-poverty classrooms (pp. 47-63). New York: Teachers College Press.