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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., Kiebler, S., & Decker, R. (2024). Accessible Standard Algorithms for Understanding and Equity Part 2: Multidigit and Decimal Subtraction, Multiplication, and Division. Journal of Education and Development, Vol. 8, No. 2, May, 2024. Online version.
2024
TL, MD, SD, OL
Short
Click Here
Fuson, K. C., Kiebler, S., & Decker, R. (April, 2024a). Accessible standard algorithms for understanding and equity. Mathematics Teacher: Learning and Teaching K-12. Volume 117, Issue 04, April, 268–275. DOI: 10.5951/MTLT.2023.0212 Part 1 that precedes Part 2 above.
2024
TL, MD, SD, OL
Short
Click Here
Fuson, K. C. & Leinwand, S. (2023). Building equitable Math Talk classrooms. Mathematics Teacher Learning and Teaching, 116 (3), March, 164-173. 2023 DOI: https://doi.org/10.5951/MTLT.2022.0285
2023
TL
Short
Click Here
Fuson, K. C. (2022). Learning Path Teaching in a Math Talk Community: An overview of my research papers describing effective and nurturing ways to teach and learn in math classrooms. Published on karenfusonmath.com.
2022
TL
Short
Click Here
Fuson, K. C. (2020). The best multidigit computation methods: A cross-cultural cognitive, mathematical, and empirical analysis. Universal Journal of Educational Research, 8(4): 1299-1314, 2020 DOI: 10.13189/ujer.2020.080421
2020
TL, MpDv, MD
Long
Click Here
Fuson, K. C. (2019). Overcoming errors in fraction computation by emphasizing unit fractions, length drawings, and student explanations. Universal Journal of Educational Research, 7(8): 1663-1678, 2019 DOI: 10.13189/ujer.2019.070805
2019
FRP, TL
Short
Click Here
Clements, D. H., Fuson, K. C., & Sarama, J. (2019). Critiques of the Common Core in early math: A research based response. Journal for Research in Mathematics Education, 50 (1), 11-22.
2019
CC, SD, MD, MpDv
Long
Click Here
Fuson, K. C. (2019). Relating math words, visual images, and math symbols for understanding and competence. International Journal of Disability, Development and Education, 66 (Special Issue 2 on Mathematics education research in the field of Down syndrome: Latest developments and emerging trends.), 119-132. https://doi.org/10.1080/1034912X.2018.1535109 Published online October 27, 2018
2019
CC, SD, MD
Short
Click Here
Fuson, K. C. (2018) Building on Howe’s three pillars in kindergarten to grade 6 classrooms. In Y. Li, W. J. Lewis, & J. J. Madden (Eds.), Mathematics Matters in Education (185-207). Switzerland: Springer International Publishing AG.
2018
SD, MD
Long
Click Here
Fuson, K.C. (2017, April). Kindergarten and grade 1 children living in poverty can learn the CCSS NBT concepts. Presented at the Annual Conference of the National Council of Supervisors of Mathematics, San Antonio, TX.
2017
CC, AS, SD
Long
Click Here
Clements, D. H., Fuson, K. C., & Sarama, J. (2017). The research-based balance in early childhood mathematics: A response to Common Core criticisms. Early Childhood Research Quarterly, 40, 150–162.
2017
TL
Long
Click Here
Clements, D. H., Fuson, K. C., & Sarama, J. (2017). What is developmentally appropriate teaching? Teaching Children Mathematics, 24, No.3 (Nov/Dec), 178-188.
2017
SD, TL, CC
Short
Click Here
Fuson, K.C. & Smith, S. (2016, April). Children Living in Poverty Can Solve CCSS OA Word Problems. Presented at the Annual Conference of the National Council of Teachers of Mathematics, San Francisco, CA.
2016
CC, AS, SD
Long
Click Here
Izsak, A., Tellema, E., & Tun-Pekkan, Z. (2016). Partitioning and iterating when teaching and learning fraction addition on number lines. In E. A. Silver & P. A. Kenney (Eds.), More lessons learned from research: Volume 2: Useful and usable research related to core mathematical practices (pp. 199-205). Reston, VA: NCTM.
2016
FRP
Short
Click Here
Murata, A. & Fuson, K. C. (2016). Class learning zone and class learning paths: Responsive teaching in first-grade mathematics. In E. A. Silver & P. A. Kenney (Eds.), More lessons learned from research: Volume 2: Useful and usable research related to core mathematical practices (pp. 70-91). Reston, VA: NCTM.
2016
TL, SD
Short
Click Here
Sherin, B. Fuson, K. C. (2016). Multiplication and division methods in the context of the Common Core State Standards. In E. A. Silver & P. A. Kenney (Eds.), More lessons learned from research: Volume 2: Useful and usable research related to core mathematical practices (pp. 101-108). Reston, VA: NCTM.
2016
MpDv
Short
Click Here
Fuson, K. C., Murata, A., Abrahamson, D. (2015). Using learning path research to balance mathematics education: Teaching/learning for understanding and fluency. In R. Cohen Kadosh & A. Dowker (Eds.), Oxford Handbook of Numerical Cognition (pp. 1020-1038). Oxford, England: Oxford University Press. [Also appears online in Oxford Handbooks Online, July, 2014. DOI: 10.1093/oxfordhb/9780199642342.013.003
2015
TL, SD, MD, FRP
Long
Click Here
Fuson, K.C., Clements, D.H., & Sarama, J. (2015). Making early math education work for all children. Phi Delta Kappan, 97 (3 November), 63-68. Doi:10.1177/0031721715614831
2015
CC
Short
Click Here
Hufferd-Ackles, K., Fuson, K. C., & Sherin, M. G. (2015). Describing levels and components of a Math-Talk Learning Community. In E. A. Silver & P. A. Kenney (Eds.), More lessons learned from research: Volume 1: Useful and usable research related to core mathematical practices (pp. 125-134). Reston, VA: NCTM.
2015
TL
Short
Click Here
Fuson, K. C. (2014). CCSS Mathematical Practice 4: Model with mathematics. Colorado Mathematics Teacher, Spring, 10-21.
2014
TL
Short
Click Here
© 2026, Dr. Karen C. Fuson. All Rights Reserved.
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