Bay-Williams J. Figuring Out Fluency. Addition and Subtraction...2022

Textbook in PDF format

Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners.
Preface
Figuring out fluency: key ideas
Strategy modules
Foundations for reasoning strategies
Count on/count back strategy
Make a whole strategy
Think addition strategy
Compensation strategy
Partial sums and differences strategy
Standard algorithms
Putting it all together: developing fluency
Appendix: Tables of Activities