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Results of a Re-Search of Research Results (Part 2)

In January, I recommended a free resource, that used "sound-bytes" to provide a research-based overview of the potential and challenges of teaching quality mathematics (K-12). Last week, I reviewed two other good resources. This week's focus is on reviews of two great NCTM resources that have influenced me greatly as a teacher and as a professional.

First, NCTM's Reserach Ideas For the Classroom: Middle Grade Mathematics (*SEE BELOW) summarizes research as an attempt to "bridge the gap between researchers and practioners in the field." In turn, the authors of each chapter are a researcher and a classroom teacher. Within a context of learning mathematics, mathematical processes and content, and teaching mathematics, the authors constantly address general themes such as building connections, problem solving, reasoning, and communication (I've heard that somewhere before!). In contrast to the previously suggested resources, this text's format provides focused information on big issues (e.g. Prealgebra: The Transition from Arithmetic to Algebra). Then, a thorough summary of the related research is provided, with actual questions and student results found as part of that research (with full references). The reader is left to form their own conclusions as to classroom implications. A good inexpensive resource that needs to be updated (whatever that may mean).

Second, NCTM's Reserach Ideas For the Classroom: High School Mathematics (*SEE BELOW) summarizes research as an attempt to "bridge the gap between researchers and practioners in the field." In turn, the authors of each chapter are a researcher and a classroom teacher. Within a context of learning mathematics, mathematical processes and content, and teaching mathematics, the authors constantly address general themes such as building connections, problem solving, reasoning, and communication (Again, has this website embedded an echo here.....!). In contrast to the previously suggested resources, this text's format provides focused information on big issues (e.g. Mathematical Symbols and Representations). Then, a thorough summary of the related research is provided, with actual questions and student results found as part of that research (with full references). The reader is left to form their own conclusions as to classroom implications. A good inexpensive resource that also has become dated.

It is important to note that the above two books are part of a three-volume series. As you might guess, the third volume focuses on elementary mathematics.

*Unfortunately, NCTM no longer offers these resources for sale. BUT, you can find copies on-line via Amazon, ebay, etc.