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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., 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., Wearne, D., Murray, H., Olivier, A., Human, P., Making sense: Teaching and learning mathematics with understanding (pp. 129-159). Portsmouth, NH: Hienemann.
1997
TL, SD, MD
Short
Click Here
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, 738-766.
1997
MD
Long
Click Here
Fuson, K. C., Wearne, D., Hiebert, J., Human, P., Murray, H., Olivier, A., Carpenter, T., & Fennema, E. (1997). Children's conceptual structures for multidigit numbers at work in addition and subtraction. Journal for Research in Mathematics Education, 28, 130-162.
1997
MD
Long
Click Here
Fuson, K. C., Carroll, W. M., & Landis, J. (1996). Levels in conceptualizing and solving addition/subtraction compare word problems. Cognition and Instruction, 14(3), 345-371.
1996
SD
Long
Click Here
Hiebert, J., Carpenter, T. P., Fennema, E., Fuson, K., Human, P., Murray, H., Olivier, A., & Wearne, D. (1996). Problem solving as a basis for reform in curriculum and instructions: The case of mathematics. Educational Researcher, Vol. 25, No. 4., pp. 12-21.
1996
TL
Short
Click Here
Fuson, K. C., & Smith, S. T. (1995). Complexities in learning two-digit subtraction: A case study of tutored learning. Mathematical Cognition, 1, 165-213.
1995
MD
Long
Click Here
Fuson, K. C., Zecker, L. B., Lo Cicero, A. M., Ron, P. (1995, April). El Mercado in Latino primary classrooms: A fruitful narrative theme for the development of children's conceptual mathematics. Paper presented at the Annual Meeting of the American Educational Research Association, San Francisco, CA.
1995
MD
Long
Click Here
Fuson, K. C., Perry, T., & Kwon, Y. (1994). Latino, Anglo, and Korean children's finger addition methods. In J. E. H. van Luit (Ed.), Research on learning and instruction of mathematics in kindergarten and primary school, pp. 220-228. Doetinchem/Rapallo: Graviant.
1994
OL, SD
Short
Click Here
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., 1993), Proceedings of the Fifteenth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 240-246). The Center for Mathematics and Computer Science Education, San Jose State University, San Jose, CA.
1993
MD
Short
Click Here
Fuson, K. C. & Fuson, A. M. (1992). Instruction to support children's counting on for addition and counting up for subtraction. Journal for Research in Mathematics Education, 23, 72-78.
1992
SD
Long
Click Here
Fuson, K. C. & Kwon, Y. (1992). Korean children's single-digit addition and subtraction: Numbers structured by ten. Journal for Research in Mathematics Education, 23. 148-165.
1992
SD, OL
Long
Click Here
Fuson, K. C. & Kwon, Y. (1992). Korean children's understanding of multidigit addition and subtraction. Child Development, 63, 491-506.
1992
MD, OL
Long
Click Here
Fuson, K. C. & Kwon, Y. (1992). Learning addition and subtraction: Effects of number words and other cultural tools. In J. Bideaud & C. Meljac (Eds.), Pathways to number (283-306). Hillsdale, NJ: Lawrence Erlbaum Associates. [This is a book of invited chapters celebrating the fiftieth anniversary of the publication of Piaget's book on number. Published in French in Les chemins du nombre (pp. 351-374). Villeneuve d'Ascq, France: Presses Universitaires de Lille.]
1992
OL, SD, MD
Short
Click Here
Fuson, K. C. (1992). Relationships between counting and cardinality from age 2 to age 8. In J. Bideaud, J. P. Fischer, & C. Meljac (Eds), Pathways to number (pp. 127-149). Hillsdale, NJ: Lawrence Erlbaum Associates. [This is a book of invited chapters celebrating the fiftieth anniversary of the publication of Piaget's book on number. Published in French in Les chemins du nombre (pp. 159-179). Villeneuve d'Ascq, France: Presses Universitaires de Lille.]
1992
CC
Short
Click Here
Fuson, K. C., Fraivillig, J. L., & Burghardt, B. H. (1992). Relationships children construct among English number words, multiunit base-ten blocks, and written multidigit addition. In J. Campbell (Ed.), Advances in psychology: The nature and origins of mathematical skills (39-112). North Holland, Elsevier Science.
1992
MD
Long
Click Here
Fuson, K. C. & Kwon, Y. (1991). Chinese-based regular and European irregular systems of number words: The disadvantages for English-speaking children. In K. Durkin & B. Shire (Eds.), Language and mathematical education (pp. 211-226). Milton Keynes, GB: Open University Press.
1991
OL
Short
Click Here
Fuson, K. C. (1991). Children's early counting: Saying the number-word sequence, counting objects, and understanding cardinality. In K. Durkin & B. Shire (Eds.), Language and mathematical education (pp. 27-39). Milton Keynes, GB: Open University Press.
1991
CC
Short
Click Here
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.
1990
MD
Long
Click Here
Fuson, K. C. (1990). Issues in place-value and multidigit addition and subtraction learning. Journal for Research in Mathematics Education, 21, 273-280.
1990
MD
Long
Click Here
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.
1990
MD
Long
Click Here
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