The shuffling of mathematics problems improves learning

@article{Rohrer2007TheSO,
  title={The shuffling of mathematics problems improves learning},
  author={D. Rohrer and Kelli M Taylor},
  journal={Instructional Science},
  year={2007},
  volume={35},
  pages={481-498}
}
In most mathematics textbooks, each set of practice problems is comprised almost entirely of problems corresponding to the immediately previous lesson. By contrast, in a small number of textbooks, the practice problems are systematically shuffled so that each practice set includes a variety of problems drawn from many previous lessons. The standard and shuffled formats differ in two critical ways, and each was the focus of an experiment reported here. In Experiment 1, college students learned… Expand
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References

SHOWING 1-10 OF 44 REFERENCES
The effects of overlearning and distributed practise on the retention of mathematics knowledge
In two experiments, 216 college students learned to solve one kind of mathematics problem before completing one of various practise schedules. In Experiment 1, students either massed 10 problems in aExpand
The effects of cumulative practice on mathematics problem solving.
TLDR
Cumulative practice of component skills is an effective method of training problem solving in basic algebra rules teaching to college students. Expand
Learning “How” Versus Learning “When”: Improving Transfer of Problem-Solving Principles
TLDR
Experiments examined how instructing learners about when to apply problem-solving principles may later improve performance and found that subjects who received applicability instructions made fewer confusion errors when learning the similar problem pair. Expand
Effects of Massed and Distributed Practice on the Learning and Retention of Second-Language Vocabulary
AbstractHigh school students enrolled in a French course learned vocabulary words under conditions of either massed or distributed practice as part of their regular class activities. DistributedExpand
Contextual Enrichment and Distribution of Practice in the Classroom
Small scale experiments have led us to believe that teaching a lot in a short time is inefficient, perhaps because it overtaxes student resources. This principle, however, has not been adequatelyExpand
The Effect of Overlearning on Long-Term Retention
Once material has been learned to a criterion of one perfect trial, further study within the same session constitutes overlearning. Although overlearning is a popular learning strategy, its effect onExpand
Timing of Information Presentation in Learning Statistics
TLDR
Simultaneous presentation ofprocedural information before and supportive information during practiceled to the most efficient learning. Expand
Application of the Testing and Spacing Effects to Name Learning
SUMMARY Four experiments investigated the effects of testing and spacing on the learning of face-name stimulus-response pairs. Experiments 1a and 1b compared the recall of names following interveningExpand
Motor schema formation and retention in young children.
TLDR
The variability-of-practice hypothesis, a major prediction of Schmidt's (1975) motor schema theory, was tested in an attempt to investigate motor-schema formation and transfer to novel tasks in the same movement class. Expand
Distributed Versus Massed Practice in High School Physics
An analysis of the effects of distributed practice in physics was undertaken. The subjects were 41 students, nearly equal numbers of males and females, in two suburban high school physics classes.Expand
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4
5
...