SpringMath Theory of Change
Dr. Amanda VanDerHeyden developed the SpringMath Theory of Change to show how SpringMath facilitates math achievement — and ultimately math mastery.
SpringMath is web-based guidance to assess skills, deliver intervention, monitor progress, and adjust intervention weekly.1
View the evidence behind the SpringMath Theory of Change by clicking on the respective number below.
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VanDerHeyden, A. M., Codding, R. S., Martin, R., Desai, S., Maki, E., & McKevett, N. (in submission). Use of a web-based
mathematics intervention tool to promote implementation and student learning. Manuscript submitted for publication.VanDerHeyden, A. M. & Witt, J. C. (2005). Quantifying the context of assessment: Capturing the effect of base rates on teacher referral and a problem-solving model of identification. School Psychology Review, 34, 161-183.
https://doi.org/10.1080/02796015.2005.12086281VanDerHeyden, A. M., Witt, J. C., & Gilbertson, D. A (2007). Multi-Year Evaluation of the Effects of a Response to Intervention (RTI) Model on Identification of Children for Special Education. Journal of School Psychology, 45, 225-256.
https://doi.org/10.1016/j.jsp.2006.11.004VanDerHeyden, A. M., Witt, J. C., & Naquin, G. (2003). Development and validation of a process for screening referrals to
special education. School Psychology Review, 32, 204-227. https://doi.org/10.1080/02796015.2003.12086194
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Solomon, B., G., VanDerHeyden, A. M., Solomon, E. C., Korzeniewski, E. R., Payne, L. L., Campaña, K. V., & Dillon, C. R. (in submission). Mastery Measurement in Mathematics and the Goldilocks Effect. Manuscript submitted for publication.
VanDerHeyden, A. M., & Broussard, C. (2019). Construction and Examination of Math Subskill Mastery Measures. Advance Online Publication. Assessment for Effective Intervention. https://doi.org/10.1177/1534508419883947
VanDerHeyden, A. M., Broussard, C., & Burns, M. K. (2019). Classification agreement for gated screening in mathematics: Subskill mastery measurement and classwide intervention. Assessment for Effective Intervention. Advance Online Publication. https://doi.org/10.1177/1534508419882484
VanDerHeyden, A. M., Codding, R., Martin, R. (2017). Relative value of common screening measures in mathematics. School Psychology Review, 46, 65-87. https://doi.org/10.17105/SPR46-1.65-87
VanDerHeyden, A. M. & Witt, J. C. (2005). Quantifying the context of assessment: Capturing the effect of base rates on teacher referral and a problem-solving model of identification. School Psychology Review, 34, 161-183. https://doi.org/10.1080/02796015.2005.12086281
VanDerHeyden, A. M., Witt, J. C., Naquin, G., Noell, G. (2001). The reliability and validity of curriculum-based measurement readiness probes for kindergarten students. School Psychology Review, 30, 363-382. . https://doi.org/10.1080/02796015.2001.12086121
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Haring, N. G., & Eaton, M. D. (1978). Systematic instructional procedures: An instructional hierarchy. In N. G. Haring, T. C. Lovitt, M. D. Eaton, & C. L. Hansen (Eds.), The fourth R: Research in the classroom (pp. 23–40). Columbus, OH: Merrill.
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, 69-83. This meta-analysis demonstrated that when instructional tactics were aligned with student proficiency, learning improved and when instructional tactics were mis-aligned with student proficiency, learning declined. Burns and colleagues called this the “skill-by-treatment” interaction which is, in effect, an empirical demonstration of the Instructional Hierarchy.
Burns, M. K., VanDerHeyden, A. M., & Jiban, C. (2006). Assessing the instructional level for mathematics: A comparison of methods. School Psychology Review, 35, 401-418. In this study, Burns and colleagues demonstrated that attaining mastery level performance was associated with skill retention over time, generalization, and faster learning of more complex, related skills.
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4Detrich, R., Keyworth, R., & States, J. (2008). Advances in evidence-based education: A roadmap to evidence-based education. Oakland, CA: The Wing Institute.
Fixsen, D. L., & Blasé, K. A. (1993). Creating new realities: Program development and dissemination. Journal of Applied Behavior Analysis, 26, 597-615. https://doi.org/10.1901/jaba.1993.26-597
Joyce, B. R., & Showers, B. (1981). Transfer of Training: The Contribution of "Coaching." Journal of Education, 163, 163-172. https://doi.org/10.1177/002205748116300208
National Implementation Research Network. https://nirn.fpg.unc.edu/
VanDerHeyden, A. M., McLaughlin, T., Algina, J., & Snyder, P. (2012). Randomized evaluation of a supplemental grade-wide mathematics intervention. American Education Research Journal, 49, 1251-1284. https://doi.org/10.3102/0002831212462736
Witt, J. C., Noell, G. H., LaFleur, L. H., & Mortenson, B. P. (1997). Teacher use of interventions in general education settings: Measurement and analysis of the independent variable. Journal of Applied Behavior Analysis, 30, 693-696. https://doi.org/10.1901/jaba.1997.30-693
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VanDerHeyden, A. M., & Burns, M. K. (2005). Using curriculum-based assessment and curriculum-based measurement to guide elementary mathematics instruction: Effect on individual and group accountability scores. Assessment for Effective Intervention, 30, 15-31. https://doi.org/10.1177/073724770503000302
VanDerHeyden, A. M. & Codding, R. (2015). Practical effects of classwide mathematics intervention. School Psychology Review, 44, 169-190. https://doi.org/10.17105/spr-13-0087.1
VanDerHeyden, A. M., McLaughlin, T., Algina, J., & Snyder, P. (2012). Randomized evaluation of a supplemental grade-wide mathematics intervention. American Education Research Journal, 49, 1251-1284. https://doi.org/10.3102/0002831212462736
VanDerHeyden, A. M., Witt, J. C., & Gilbertson, D. A (2007). Multi-Year Evaluation of the Effects of a Response to Intervention (RTI) Model on Identification of Children for Special Education. Journal of School Psychology, 45, 225-256. https://doi.org/10.1016/j.jsp.2006.11.004
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Barrett, C. A., & VanDerHeyden, A. M. (2020). A cost-effectiveness analysis of classwide math intervention. Journal of School Psychology, 80, 54-65. https://doi.org/10.1016/j.jsp.2020.04.002
Codding, R., VanDerHeyden, Martin, R. J., & Perrault, L. (2016). Manipulating Treatment Dose: Evaluating the Frequency of a Small Group Intervention Targeting Whole Number Operations. Learning Disabilities Research & Practice, 31, 208-220. https://doi.org/10.1111/ldrp.121206
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VanDerHeyden, A. M. (2010). Determining early mathematical risk: Ideas for extending the research. School Psychology Review, 39, 196-202. https://doi.org/10.1080/02796015.2010.12087773
VanDerHeyden, A. M. (2013). Universal screening may not be for everyone: Using a threshold model as a smarter way to determine risk. School Psychology Review, 42, 402-414. https://doi.org/10.1080/02796015.2013.12087462
VanDerHeyden, A. M. & Witt, J. C. (2005). Quantifying the context of assessment: Capturing the effect of base rates on teacher referral and a problem-solving model of identification. School Psychology Review, 34, 161-183. https://doi.org/10.1080/02796015.2005.12086281
VanDerHeyden, A. M., Witt, J. C., & Gilbertson, D. A (2007). Multi-Year Evaluation of the Effects of a Response to Intervention (RTI) Model on Identification of Children for Special Education. Journal of School Psychology, 45, 225-256. https://doi.org/10.1016/j.jsp.2006.11.004
VanDerHeyden, A. M., Witt, J. C., & Naquin, G. (2003). Development and validation of a process for screening referrals to special education. School Psychology Review, 32, 204-227. https://doi.org/10.1080/02796015.2003.12086194
-
VanDerHeyden, A. M., & Burns, M. K. (2005). Using curriculum-based assessment and curriculum-based measurement to guide elementary mathematics instruction: Effect on individual and group accountability scores. Assessment for Effective Intervention, 30, 15-31. https://doi.org/10.1177/073724770503000302
VanDerHeyden, A. M. & Codding, R. (2015). Practical effects of classwide mathematics intervention. School Psychology Review, 44, 169-190. https://doi.org/10.17105/spr-13-0087.1
VanDerHeyden, A. M., McLaughlin, T., Algina, J., & Snyder, P. (2012). Randomized evaluation of a supplemental grade-wide mathematics intervention. American Education Research Journal, 49, 1251-1284. https://doi.org/10.3102/0002831212462736
VanDerHeyden, A. M., Witt, J. C., & Gilbertson, D. A (2007). Multi-Year Evaluation of the Effects of a Response to Intervention (RTI) Model on Identification of Children for Special Education. Journal of School Psychology, 45, 225-256. https://doi.org/10.1016/j.jsp.2006.11.004