Introducing the Science of Math

Baroody A. J. , (2003). The development of adaptive expertise and flexibility: The integration of conceptual and procedural knowledge. In Baroody A. J. Dowker A. (Eds.), The Development of Arithmetic Concepts and Skills: Constructing Adaptive Expertise (pp. 1–33). Lawrence Erlbaum Associates.

Bryant B. R. Bryant D. P. Kethley C. Kim S. A. Pool C. You-Jin S. (2008). Preventing mathematics difficulties in the primary grades: The critical features of instruction in textbooks as part of the equation. Learning Disability Quarterly, 31(1), 21–35. https://doi.org/10.2307%2F30035523

Burns M. K. Codding R. S. Boice C. H. Lukito G. (2010). Meta-analysis of acquisition and fluency math interventions with instructional and frustration level skills: Evidence for a skill-by-treatment interaction. School Psychology Review, 39(1), 69–83. https://doi.org/10.1080/02796015.2010.12087791

Canobi K. H. (2009). Concept–procedure interactions in children’s addition and subtraction. Journal of Experimental Child Psychology, 102(2), 131-149. https://doi.org/10.1016/j.jecp.2008.07.008

Carnine D. W. Jitendra A. Silbert J. (1997). A descriptive analysis of mathematics curricular materials from a pedagogical perspective. Remedial and Special Education, 18(2), 66–81. https://doi.org/10.1177%2F074193259701800201

de Brey C. Musu L. McFarland J. Wilkinson-Flicker S. Diliberti M. Zhang A. Branstetter C. Wang X . (2019). Status and trends in the education of racial and ethnic groups 2018 (NCES 2019-038). National Center for Education Statistics, U.S. Department of Education. https://files.eric.ed.gov/fulltext/ED592833.pdf

Deans for Impact. (n.d.). Learning by scientific design: Early insights from a network transforming teacher preparation. Deans for Impact. https://deansforimpact.org/wp-content/uploads/2020/03/Deans_for_Impact_LbSD_Report_FINAL-1.pdf

Deans for Impact. (2015). The science of learning. Deans for Impact. https://deansforimpact.org/wp-content/uploads/2016/12/The_Science_of_Learning.pdf

Doabler C. T. Fien H. Nelson-Walker N. J. Baker S. K. (2012). Evaluating three elementary mathematics programs for presence of eight research-based instructional design principles. Learning Disability Quarterly, 35(4), 200–211. https://doi.org/10.1177%2F0731948712438557

Equity and Excellence Commission. (2013). For each and every child: A strategy for equity and excellence. The Equity and Excellence Commission, U.S. Department of Education. https://www2.ed.gov/about/bdscomm/list/eec/equity-excellence-commission-report.pdf

Every Student Succeeds Act, 20 U.S.C. § 6301 (2015). https://www.congress.gov/bill/114th-congress/senate-bill/1177

Fixsen D. L. Blase K. A. Naoom S. F. Wallace F. (2009). Core implementation components. Research on Social Work Practice, 19(5), 531-540. https://doi.org/10.1177%2F1049731509335549

Frye D. Baroody A. J. Burchinal M. Carver S. M. Jordan N. C. McDowell J. (2013). Teaching math to young children: A practice guide (NCEE 2014-4005). National Center for Education Evaluation and Regional Assistance (NCEE), Institute of Education Sciences, U.S. Department of Education. https://ies.ed.gov/ncee/wwc/Docs/PracticeGuide/early_math_pg_111313.pdf

Fuchs L. S. (2017). Curriculum-based measurement as the emerging alternative: Three decades later. Learning Disabilities Research & Practice, 32(1), 5–7. https://doi.org/10.1111/ldrp.12127

Fuchs L. S. Newman-Gonchar R. Schumacher R. Dougherty B. Bucka N. Karp K. S. Woodward J. Clarke B. Jordan N. C. Gersten R. Jayanthi M. Keating B. Morgan S. (2021). Assisting students struggling with mathematics: Intervention in the elementary grades (WWC 2021006). National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S. Department of Education. https://ies.ed.gov/ncee/wwc/Docs/PracticeGuide/WWC2021006-Math-PG.pdf

Gersten R. Beckmann S. Clarke B. Foegen A. Marsh L. Star J. R. Witzel B. (2009). Assisting students struggling with mathematics: Response to Intervention (RtI) for elementary and middle schools (NCEE 2009-4060). National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S. Department of Education. https://ies.ed.gov/ncee/wwc/Docs/PracticeGuide/rti_math_pg_042109.pdf

Hecht S. A. Vagi K. J. (2010). Sources of group and individual differences in emerging fraction skills. Journal of Educational Psychology, 102(4), 843-859. https://psycnet.apa.org/doi/10.1037/a0019824

Hott B. L. Dibbs R.-A. Naizer G. Raymond L. Reid C. C. Martin A. (2019). Practitioner perceptions of algebra strategy and intervention use to support students with mathematics difficulty or disability in rural Texas. Rural Special Education Quarterly, 38(1), 3–14. https://doi.org/10.1177%2F8756870518795494

Jitendra A. K. Griffin C. Deatline-Buchman A. Dippi-Hoy C. Sczesniak E. Sokol N. G. Xin Y. P. (2005). Adherence to mathematics professional standards and instructional design criteria for problem-solving in mathematics. Exceptional Children, 71(3), 319-337. https://doi.org/10.1177%2F001440290507100307

Kratochwill T. R. Hoagwood K. E. Kazak A. E. Weisz J. R. Hood K. Vargas L. A. Banez G. A. (2012). Practice-based evidence for children and adolescents: Advancing the research agenda in schools. School Psychology Review, 41(2), 215–235. https://doi.org/10.1080/02796015.2012.12087521

Lilienfeld S. O. Ammirati R. David M. (2012). Distinguishing science from pseudoscience in school psychology: Science and scientific thinking as safeguards against human error. Journal of School Psychology, 50(1), 7–36. https://doi.org/10.1016/j.jsp.2011.09.006

Long A. C. Sanetti L. M. H. Collier-Meek M. A. Gallucci J. Altschaefl M. Kratochwill T. R. (2016). An exploratory investigation of teachers' intervention planning and perceived implementation barriers. Journal of School Psychology, 55, 1–26. https://doi.org/10.1016/j.jsp.2015.12.002

Mastropieri M. A. Berkeley S. McDuffie K. A. Graff H. Marshak L. Conners N. A. . . . Cuenza-Sanches Y. (2009). What is published in the field of special education? An analysis of 11 prominent journals. Exceptional Children, 76(1), 95–109. https://doi.org/10.1177%2F001440290907600105

National Center for Education Statistics, National Assessment of Educational Progress. (2019). Nations report card in mathematics. https://nces.ed.gov/nationsreportcard/mathematics/

National Governors Association Center for Best Practices & Council of Chief State School Officers. (2010). Common core state standards for mathematics.

National Mathematics Advisory Panel. (2008). The final report of the National Mathematics Advisory Panel. U.S. Department of Education. https://files.eric.ed.gov/fulltext/ED500486.pdf

National Research Council. (2001). Adding it up: Helping children learn mathematics. Washington, DC: The National Academies Press. https://doi.org/10.17226/9822

Odom S. L. Hall L. J. Steinbrenner J. R. (2020). Implementation science research and special education. Exceptional Children, 86(2), 117-119. https://doi.org/10.1177%2F0014402919889888

Office for Civil Rights. (2021). Education in a pandemic: The disparate impacts of COVID-19 on America’s students. U.S. Department of Education. https://www2.ed.gov/about/offices/list/ocr/docs/20210608-impacts-of-covid19.pdf

Pal J. Marec C. Schwabe M. (2019). Programme for international student assessment (PISA) results from 2018: United States. OECD: Directorate for Education and Skills. https://www.oecd.org/pisa/publications/PISA2018_CN_USA.pdf

Peltier C. Morin K. L. Bouck E. C. Lingo M. E. Pulos J. M. Scheffler F. A. Suk A. Mathews L. A. Sinclair T. E. Deardorff M. E. (2020). A meta-analysis of single-case research using mathematics manipulatives with students at risk or identified with a disability. The Journal of Special Education, 54(1), 3–15. https://doi.org/10.1177%2F0022466919844516

Peltier C. Peltier T. K. Hott B. L. Heuer A. Werthen T. (2021). “Trends Come and Go”: Early childhood rural special education teachers’ use of reported practices during mathematics instruction. Rural Special Education Quarterly, 40(4), 214–225. https://doi.org/10.1177%2F87568705211027981

Peltier C. Peltier T. Werthen T. Heuer A. (2020). “State Standards and IEP Goals. A Lot of TPT Products”: What resources early childhood educators report using to plan mathematics instruction. Learning Disabilities – A Contemporary Journal, 18(2), 153–166. https://eric.ed.gov/?id=EJ1281051

Rittle-Johnson B. Koedinger K. (2009). Iterating between lessons on concepts and procedures can improve mathematics knowledge. British Journal of Educational Psychology, 79(3), 483–500. https://doi.org/10.1348/000709908X398106

Rittle-Johnson B. Schneider M. Star J. R. (2015). Not a one-way street: Bidirectional relations between procedural and conceptual knowledge of mathematics. Educational Psychology Review, 27(4), 587–597. https://doi.org/10.1007/s10648-015-9302-x

Rittle-Johnson B. Siegler R. S. Alibali M. W. (2001). Developing conceptual understanding and procedural skill in mathematics: An iterative process. Journal of Educational Psychology, 93(2), 346–362. https://doi.org/10.1037/0022-0663.93.2.346

Sayeski K. L. Paulsen K. J. (2010). Mathematics reform curricula and special education: Identifying intersections and implications for practice. Intervention in School & Clinic, 46(1), 13–21. https://doi.org/10.1177%2F1053451210369515

Schmidt W. H. Houang R. T. (2012). Curricular coherence and the common core state standards for mathematics. Educational Researcher, 41(8), 294–308. https://doi.org/10.3102%2F0013189X12464517

Siegler R. Carpenter T. Fennell F. Geary D. Lewis J. Okamoto Y. Thompson L. Wray J. (2010). Developing effective fractions instruction for kindergarten through 8th grade: A practice guide (NCEE #2010-4039). National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S. Department of Education.

Sood S. Jitendra A. (2007). A comparative analysis of number sense instruction in first grade traditional and reform-based mathematics textbooks. Journal of Special Education, 41(3), 145–157. https://doi.org/10.1177%2F00224669070410030101

Star J. R. Caronongan P. Foegen A. Furgeson J. Keating B. Larson M. R. Lyskawa J. McCallum W. G. Porath J. Zbiek R. M. (2015). Teaching strategies for improving algebra knowledge in middle and high school students (NCEE 2014-4333). National Center for Education Evaluation and Regional Assistance (NCEE), Institute of Education Sciences, U.S. Department of Education. https://ies.ed.gov/ncee/wwc/Docs/PracticeGuide/WWC_Algebra_PG_Revised_02022018.pdf

TIMSS 2019 U.S. Highlights Web Report (NCES 2021-021). (2019). U.S. Department of Education. Institute of Education Sciences, National Center for Education Statistics. https://nces.ed.gov/timss/results19/index.asp

VanDerHeyden A. M. Burns M. K. (2018). Improving decision making in school psychology: Making a difference in the lives of students, not just a prediction about their lives. School Psychology Review, 47(4), 385–395. https://doi-org.ezproxy.neu.edu/10.17105/SPR-2018-0042.V47-4

van Dijk W. Lane H. B. (2020). The brain and the US education system: Perpetuation of neuromyths. Exceptionality, 28(1), 16-29. https://doi.org/10.1080/09362835.2018.1480954

Villarreal V. Castro M. J. Umaña I. Sullivan J. R. (2017). Characteristics of intervention research in school psychology journals: 2010-2014. Psychology in the Schools, 54(5), 548–559. https://doi.org/10.1002/pits.22012

Woodward J. Beckmann S. Driscoll M. Franke M. Herzig P. Jitendra A. Koedinger K. R. Ogbuehi P. (2012). Improving mathematical problem solving in grades 4 through 8: A practice guide (NCEE 2012-4055). National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S. Department of Education. https://ies.ed.gov/ncee/wwc/Docs/PracticeGuide/MPS_PG_043012.pdf

Wu H. H. (2011). Phoenix rising: Bringing the Common Core State Mathematics Standards to life. American Educator, 35(3), 3–13. https://eric.ed.gov/?id=EJ943718