Math at home adds up to achievement in school

Frank presents an alternative interpretation of our data, yet reports largely similar results to those in our original Report. A critical difference centers on how to interpret and test interaction effects. Frank finds no mistakes in our analyses. We stand by our original conclusions of meaningful effects of the Bedtime Learning Together (BLT) math app on children’s math achievement.

[1]  Charles F. Manski,et al.  Social Choice with Partial Knowledge of Treatment Response , 2020 .

[2]  Michael C. Frank.  Comment on “Math at home adds up to achievement in school” , 2016, Science.

[3]  Susan C. Levine,et al.  Response to Comment on “Math at home adds up to achievement in school” , 2016, Science.

[4]  Susan C. Levine,et al.  Intergenerational Effects of Parents’ Math Anxiety on Children’s Math Achievement and Anxiety , 2015, Psychological science.

[5]  Brian N. Verdine,et al.  Contributions of executive function and spatial skills to preschool mathematics achievement. , 2014, Journal of experimental child psychology.

[6]  J. Huttenlocher,et al.  Early puzzle play: a predictor of preschoolers' spatial transformation skill. , 2012, Developmental psychology.

[7]  Shannon M. Pruden,et al.  Children's spatial thinking: does talk about the spatial world matter? , 2011, Developmental science.

[8]  Elizabeth A. Gunderson,et al.  Some types of parent number talk count more than others: relations between parents' input and children's cardinal-number knowledge. , 2011, Developmental science.

[9]  Janellen Huttenlocher,et al.  What counts in the development of young children's number knowledge? , 2010, Developmental psychology.

[10]  Sian L. Beilock,et al.  Female teachers’ math anxiety affects girls’ math achievement , 2010, Proceedings of the National Academy of Sciences.

[11]  Ron Dumont,et al.  Woodcock‐Johnson III Tests of Achievement , 2008 .

[12]  G. Breukelen.  ANCOVA versus change from baseline had more power in randomized studies and more bias in nonrandomized studies , 2006 .

[13]  C. Judd,et al.  Statistical difficulties of detecting interactions and moderator effects. , 1993, Psychological bulletin.

[14]  Joshua D. Angrist,et al.  Identification of Causal Effects Using Instrumental Variables , 1993 .

[15]  Ray Hembree,et al.  The Nature, Effects, and Relief of Mathematics Anxiety. , 1990 .