A test of two methods of arithmetic fluency training and implications for educational practice

Abstract Children are exposed to multiple training tasks that are intended to support acquisition of basic arithmetic skills. Surprisingly, there is a scarcity of experimental research that directly compares the efficacy of those tasks, raising the possibility that children may be spending critical instructional time on tasks that are not effective. We conducted an experiment with 1st through 6th grade children comparing two arithmetic training tasks that are widely used: answer production training and fact triangle training. Results show that answer production training produces substantial fluency gains, whereas fact triangle training does not. Further, we show that, despite theoretical considerations that suggest otherwise, fact triangle training does not produce more flexibly applicable learning. Implications for memory representation, arithmetic fluency training, and broader educational strategy are discussed.