Dynamic maths interviews to identify educational needs of students showing low math achievement

References

• Allsopp, D. H., M. M. Kyger, L. A. Lovin, H. Gerretson, K. L. Carson, and S. Ray. 2008. “Mathematics Dynamic Assessment: Informal Assessment that Responds the Needs of Struggling Learners in Mathematics.” Council for Exceptional Children 40 (3): 6–16. doi:https://doi.org/10.1177/004005990804000301.
   Google Scholar
• Andersson, U. 2008. “Mathematical Competencies in Children with Different Types of Learning Difficulties.” Journal of Educational Psychology 100 (1): 48–66. doi:https://doi.org/10.1037/00220663.100.1.48.
   Web of Science ®Google Scholar
• Bannink, F. 2010. 1001 Solution-focused Questions. Handbook for Solution-focused Interviewing. 2nd ed. New York-London: W.W. Norton & Company.
   Google Scholar
• Black, P., C. Harrison, C. Lee, B. Marshall, and D. Wiliam. 2004. “Working inside the Black Box: Assessment for Learning in the Classroom.”Phi Delta Kappan 86 (1): 9–21. doi:https://doi.org/10.1177/003172170408600105.
   Web of Science ®Google Scholar
• Caffrey, E., D. Fuchs, and L. S. Fuchs. 2008. “The Predictive Validity of Dynamic Assessment: A Review.” The Journal of Special Education 41 (4): 254–270. doi:https://doi.org/10.1177/0022466907310366.
   Web of Science ®Google Scholar
• Chinn, S. 2012. “Beliefs, Anxiety, and Avoiding Failure in Mathematics.” Child Development Research 12: 1–8. doi:https://doi.org/10.1155/2012/396071.
   Google Scholar
• Delfos, M. F. 2001. Are You Listening to Me? Communicating with Children from Four to Twelve Years Old. Amsterdam, The Netherlands: SWP Publishers.
   Google Scholar
• Deunk, M., A. Smale-Jacobse, H. De Boer, S. Doolaard, and R. Bosker. 2018. “Effective Differentiation Practices: A Systematic Review and Meta-analysis of Studies on the Cognitive Effects of Differentiation Practices in Primary Education.” Educational Research Review 24 (1): 31–54. doi:https://doi.org/10.1016/j.edurev.2018.02.002.
   Web of Science ®Google Scholar
• Elliott, J. G., E. L. Grigorenko, and W. C. M. Resing. 2010. “Dynamic Assessment: The Need for a Dynamic Approach.” In International Encyclopedia of Education, edited by P. Peterson, E. Baker, and B. McGaw, 220–225. Vol. 3. Amsterdam, The Netherlands: Elsevier.
   Google Scholar
• Emerson, J., and P. Babtie. 2014. The Dyscalculia Assessment. 2nd ed. London, UK: Bloomsbury Education.
   Google Scholar
• Empson, S. B., and V. R. Jacobs. 2008. “Learning to Listen to Children’s Mathematics.” In Tools and Processes in Mathematics Teacher Education, edited by D. Tirosh and T. Wood, 257–281. Rotterdam, The Netherlands: Sense publishers. doi:https://doi.org/10.1163/9789087905460_013.
   Google Scholar
• Franke, M. L., T. P. Carpenter, L. Levi, and E. Fennema. 2001. “Capturing Teachers’ Generative Change: A Follow-up Study of Professional Development in Mathematics.” American Educational Research Journal 38 (3): 653–689. doi:https://doi.org/10.3102/00028312038003653.
   Web of Science ®Google Scholar
• Fuchs, L. S., D. L. Compton, D. Fuchs, K. N. Hollenbeck, C. F. Craddock, and C. L. Hamlett. 2008. “Dynamic Assessment of Algebraic Learning in Predicting Third Graders’ Development of Mathematical Problem Solving.” Journal of Educational Psychology 100 (4): 829–850. doi:https://doi.org/10.1037/a0012657.
   PubMed Web of Science ®Google Scholar
• Fuchs, L. S., J. K. Gilbert, S. R. Powell, P. Cirino, T. Fuchs, D. Hamlett, C. L. Seethaler, P. M., and T. D. Tolar. 2016. “The Role of Cognitive Processes, Foundational Math Skill, and Calculation Accuracy and Fluency in Word-problem Solving versus Prealgebraic Knowledge.” Developmental Psychology 52 (12): 2085–2098. doi:https://doi.org/10.1037/dev0000227.
   PubMed Web of Science ®Google Scholar
• Gal’perin, P. J. 1978. “De Organisatie van de Cognitieve Activiteit en de Optimalisering van het Onderwijsleerproces.” [The Organisation of Cognitive Activities and the Optimizing of the Educational Learning Process].” Pedagogische Studiën 55: 218–227.
   Google Scholar
• Geary, D. C. 2004. “Mathematics and Learning Disabilities.” Journal of Learning Disabilities 37 (1): 4–15. doi:https://doi.org/10.1177/00222194040370010201.
   PubMed Web of Science ®Google Scholar
• Geary, D. C. 2011. “Consequences, Characteristics, and Causes of Mathematical Learning Disabilities and Persistent Low Achievement in Mathematics.” Journal of Developmental and Behavioral Pediatrics 32 (3): 250–263. doi:https://doi.org/10.1097/DBP.0b013e318209edef.
   PubMed Web of Science ®Google Scholar
• Gersten, R., D. J. Chard, M. Jayanthi, S. K. Baker, O. Morphy, and J. Flojo. 2009. “Mathematics Instruction for Students with Learning Disabilities: A Meta-analysis of Instructional Components.” Review of Educational Research 79 (3): 1202–1242. doi:https://doi.org/10.3102/0034654309334431.
   Web of Science ®Google Scholar
• Ginsberg, H. P. 1997. Entering the Child’s Mind. New York: Cambridge University Press.
   Google Scholar
• Ginsburg, H. P. 2009. “The Challenge of Formative Assessment in Mathematics Education: Children’s Minds, Teachers’ Minds.” Human Development 52 (2): 109–128. doi:https://doi.org/10.1159/000202729.
   Web of Science ®Google Scholar
• Hill, H. C., M. L. Blunk, C. Y. Charalambous, J. M. Lewis, G. C. Phelps, L. Sleep, and D. L. Ball. 2008. “Mathematical Knowledge for Teaching and the Mathematical Quality of Instruction: An Exploratory Study.” Cognition and Instruction 26 (4): 430–511. doi:https://doi.org/10.1080/07370000802177235.
   Web of Science ®Google Scholar
• Hoth, J., M. Döhrmann, G. Kaiser, A. Busse, J. König, and S. Blömeke. 2016. “Diagnostic Competence of Primary School Mathematics Teachers during Classroom Situations.” ZDM Mathematics Education 48 (1–2): 1–53. doi:https://doi.org/10.1007/s11858-016-0759-y.
   Google Scholar
• Janssen, J., F. Scheltens, and J. M. Kraemer. 2005. Leerling- en Onderwijsvolgsysteem Rekenen-wiskunde. [Student monitoring system mathematics]. Arnhem, The Netherlands: Cito.
   Google Scholar
• Lebens, M., M. Graff, and P. Mayer. 2011. “The Affective Dimensions of Mathematical Difficulties in Schoolchildren.” Educational Research International 11: 1–13. doi:https://doi.org/10.1155/2011/487072.
   Google Scholar
• Lee, C., and S. Johnston-Wilder. 2013. “Learning Mathematics-letting the Students Have Their Say.” Educational Studies in Mathematics 83 (2): 163–180. doi:https://doi.org/10.1007/s10649-012-9445-3.
   Web of Science ®Google Scholar
• Mayring, P. 2015. “Qualitative Content Analysis: Theoretical Background and Procedures.” In Approaches to Qualitative Research in Mathematics Education, edited by A. Bikner-Ahsbahs, C. Knipping, and N. Presmeg, 365–380. Dordrecht, The Netherlands: Springer.
   Google Scholar
• Mazzocco, M. M. M. 2007. “Defining and Differentiating Mathematical Learning Disabilities and Difficulties.” In Why Is Math so Hard for Some Children?, edited by D. B. Berch and M. M. M. Mazzocco, 29–47. Baltimore, Maryland, MD: Paul H. Brookses.
   Google Scholar
• Mitchell, D. 2015. “Inclusive Education Is a Multi-faceted Concept.” Center for Educational Policy Studies Journal 5 (1): 9–30.
   Google Scholar
• Pellegrino, J. W., N. Chudowsky, and R. Glaser. 2001. Knowing What Students Know: The Science and Design of Educational Assessment. Washington, DC: National Academic Press.
   Google Scholar
• Polya, G. 1957. How to Solve It: A New Aspect of Mathematical Method. 2nd ed. Princeton, NJ: Princeton University Press.
   Google Scholar
• Seethaler, P. M., L. S. Fuchs, D. Fuchs, and D. L. Compton. 2012. “Predicting First Graders‘ Development of Calculation versus Word-problem Performance: The Role of Dynamic Assessment.” Journal of Educational Psychology 104 (1): 224–234. doi:https://doi.org/10.1037/a0024968.
   PubMed Web of Science ®Google Scholar
• Träff, U., L. Olsson, R. Östergren, and K. Skagerlund. 2020. “Development of Early Domain-specific and Domain-general Cognitive Precursors of High and Low Math Achievers in Grade 6.” Child Neuropsychology 26 (8): 1–25. doi:https://doi.org/10.1080/09297049.2020.1739259.
   PubMed Web of Science ®Google Scholar
• Van de Grift, W. 2007. “Quality of Teaching in Four European Countries: A Review of the Literature and Application of an Assessment Instrument.” Educational Research 49 (2): 127–152. doi:https://doi.org/10.1080/00131880701369651.
   Web of Science ®Google Scholar
• Van der Lans, R. M., W. J. M. Van de Grift, and K. Van Veen. 2018. “Developing an Instrument for Teacher Feedback: Using the Rasch Model to Explore Teachers’ Development of Effective Teaching Strategies and Behaviors.” The Journal of Quasi-experimental Education 86 (2): 247–264. doi:https://doi.org/10.1080/00220973.2016.1268086.
   Web of Science ®Google Scholar
• Van Driel, J., J. Meirink, K. Van Veen, and R. Zwart. 2012. “Current Trends and Missing Links in Studies on Teacher Professional Development in Science Education: A Review of Design Features and Quality of Research.” Studies in Science Education 48 (2): 129–160. doi:https://doi.org/10.1080/03057267.2012.738020.
   Web of Science ®Google Scholar
• Van Luit, J. E. H. 2019. “Diagnostics of Dyscalculia.” In International Handbook of Mathematical Learning Difficulties: From the Laboratory to the Classroom, edited by A. Fritz, V. G. Haase, and P. Räsänen, 653–668. Cham, Switzerland: Springer. doi:https://doi.org/10.1007/978-3-319-97148-3_38.
   Google Scholar
• Watts, T. W., G. J. Duncan, R. S. Siegler, and P. E. Davis-Kean. 2014. “What’s past Is Prologue: Relations between Early Mathematics Knowledge and High School Achievement.” Educational Researcher 43 (7): 352–360. doi:https://doi.org/10.3102/0013189X14553660.
   PubMed Web of Science ®Google Scholar
• Wright, R. J., J. Martland, and A. Stafford. 2006. Early Numeracy: Assessment for Teaching and Intervention. 2nd ed. London, UK: Paul Chapman Publications/Sage.
   Google Scholar