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Topic
Description
TL
Math Teaching and Learning
FRP
Fractions, Ratios, Proportions, and Geometry
MpDv
Multiplication and Division
MD
Multi-Digit Addition and Subtraction
SD
Single-Digit Addition and Subtraction
OL
Add and Subtract in Other Languages
CC
Counting and Cardinality
Type
Longer Paper
Shorter Paper

I have gathered some of the research that underlies the classroom teaching/learning approaches.  You can sort the table below by math topic, or by type of research publication (shorter or longer) by using the drop-down boxes just above the table.  You can download a pdf file of a publication for your own educational use by clicking on the Click Here in the Download column for that publication within the table.

 

When a publication is a chapter in a book, you might want to check out the whole book for other useful chapters.  Authors of these publications include members of the Children’s Math Worlds Project team, my PhD students, post-doctoral students, and colleagues at Northwestern University and elsewhere.  Authors who have gone on to faculty positions at a university have emails or that university listed so that you can contact them to follow their other research.

You can download the references for all publications available here on this website by clicking here.

You can search for words within the table by entering words in the Search Here box. Then click the Clear Search button to reset the table.

You can also search for topics and types by using the drop-down boxes. Then click the Reset Table button to reset the table.

Reference
Date
Topic
Type
Download
Fuson, K. C., Smith, S. T., & Lo Cicero, A. (2002). Supporting Latino first graders' ten-structured thinking in urban classrooms. In J. Sowder & B. Schapelle (Eds.), Lessons Learned from Research (pp. 155-162). Reston, VA: NCTM.
2002
MD, OL
Short
Click Here
Fuson, K. and Kalchman, M. (2002). A length model of fractions puts multiplication of fractions in the learning zone of fifth graders. In D. L. Haury (Ed.). <i>Proceedings of the twenty-fourth annual meeting of North American chapter of the International Group of the Psychology of Mathematics Education</i> (pp. 1641 _ 1649).Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education.
2002
FRP
Short
Click Here
Butterworth. S. & Lo Cicero, A. M. (2001). Storytelling: Building a mathematics curriculum from the culture of the child. Teaching Children Mathematics, 7 (7), pp. 396-399.
2001
TL, SD
Short
Click Here
Fuson, K. C., Grandau, L., & Sugiyama, P. (2001). Achievable numerical understandings for all young children. Teaching Children Mathematics, 7(9), 522-526.
2001
CC
Short
Click Here
Izsak, A. (2001). Learning multi-digit multiplication by modeling rectangles. In R. Speiser, C. Maher, & C. Walter (Eds., 2001), Proceedings of the 23rd Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Vol. 1 (pp. 187_194). Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education.
2001
MpDv
Short
Click Here
Kalchman, M. & Fuson, K. (2001). Conceptual understanding of functions: A tale of two schemas. In R. Speiser, C. S. Maher, & C. Walter (Eds., 2001), Proceedings of the Twenty-Third Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Vol. 1 (pp. 195-205). Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education.
2001
MpDv
Short
Click Here
Murata, A. & Fuson, K. (2001). Learning paths to 5- and 10-structured understanding of quantity: Addition and subtraction solution strategies of Japanese children. In R. Speiser, C. S. Maher, & C. Walter (Eds.), Proceedings of the Twenty-Third Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Vol. 2 (pp. 639-646). Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education. SD OL
2001
SD, OL
Short
Click Here
Fuson, K. C. & Lo Cicero, A. M. (2000). El Mercado in Latino primary math classrooms. In M. L. Fernandez (Ed.), Proceedings of the Twenty-Second Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Vol. 2 (p. 453). Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education.
2000
TL
Short
Click Here
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: NCTM.
2000
TL
Short
Click Here
Izsak, A. & Fuson, K. C. (2000). Students' understanding and use of multiple representations while learning two-digit multiplication. In M. L. Fernandez (Ed.), Proceedings of the Twenty-Second Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Vol. 2 (pp. 714-721). Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education.
2000
MpDv
Short
Click Here
Lee, Hf. (2000). Supports for learning multi-digit addition and subtraction: A study of Taiwanese second-grade low-math achievers. In M. L. Fernandez (Ed.), Proceedings of the Twenty-Second Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Vol. 2 (pp. 723-728). Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education.
2000
MD, OL
Short
Click Here
De La Cruz, Y. (1999). Reversing the trend: Latino families in real partnerships with schools. Teaching Children Mathematics, 5 (5), pp. 296-300.
1999
TL
Short
Click Here
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.
1999
SD, TL, OL
Short
Click Here
Ron, Pilar (1999). Spanish-English language issues in the mathematics classroom. In L. Ortiz-Franco, N. G. Hernandez, & Y. De La Cruz (Ed.) Changing the Faces of Mathematics: Perspectives on Latinos(pp. 23-33). Reston, Va.: National Council of Teachers of Mathematics.
1999
TL, SD, OL
Short
Click Here
Fuson, K. C. (1998). Pedagogical, mathematical, and real-world conceptual-support nets: A model for building children's mathematical domain knowledge. Mathematical Cognition, 4(2), 147-186.
1998
MD
Long
Click Here
Fuson, K. C., Sherin, B., & Smith, S. T. (1998). A Vygotskiian action-research model for developing and assessing conceptual models and instructional materials inter-actively. In S. Berenson, K. Dawkins, M. Blanton, W. Coulombe, J. Kolb, K. Norwood, & L. Stiff (Eds.), Proceedings of the Twentieth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Vol. 2 (pp. 541-548). Raleigh, NC: North Carolina State University.
1998
TL
Short
Click Here
Ho, C. S., & Fuson, K. C. (1998). Effects of language characteristics on children's knowledge of teens quantities as tens and ones: Comparisons of Chinese, British, and American kindergartners. Journal of Educational Psychology, 90, 536-544.
1998
OL, CC
Long
Click Here
Ron, M. P. (1998). My parent taught me this way: The European/Latino multidigit subtraction algorithm and confusions with a U.S. algorithm. In L. J. Morrow & M. J Kenney (Eds.). The teaching and learning of algorithms in school mathematics. (pp.115-119) Reston, VA: The National Council of Teachers of Mathematics.
1998
OL, MD
Short
Click Here
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, 1, (pp. 291-298). Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education.
1997
MD
Short
Click Here
Fuson, K. C., & Smith, S. T. (1997). Supporting multiple 2-digit conceptual structures and calculation methods in the classroom: Issues of conceptual supports, instructional design, and language. In M. Beishuizen, K. P. E. Gravemeijer, & E. C. D. M. van Lieshout (Eds.), The role of contexts and models in the development of mathematical strategies and procedures (163-198). Utretch, The Netherlands: CD-B Press/The Freudenthal Institute.
1997
MD
Long
Click Here
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