Fostering mathematical thinking… We can help!
Welcome! Our goal is to provide parents, teachers, and teacher educators with innovative resources and novel strategies to help young learners develop powerful mathematical insights and problem solving strategies.
- (PDF) Thinking Mathematically with the Rekenrek (Downloadable)$15This 50-page book provides teachers with the theoretical basis and practical knowledge to use a powerful mathematical model called the Rekenrek (also known as the Arithmetic Rack). The book helps teachers build on the remarkable intuitions and informal reasoning of students as they learn to see numbers within other numbers… to recognize powerful combinations of five and ten… to develop a rich sense of numbers between 0-20… to build a powerful set of intuitive strategies for addition and subtraction… and to memorize addition and subtraction facts with meaning.
- (PDF) Thinking Mathematically with the Ratio Table (Downloadable)$15This book is devoted to helping teachers understand how to use the ratio table, one of the most powerful number tools available to learners of all ages. A growing number of researchers in mathematics education are pointing to the ratio table as possibly the most important tool we can give young learners as we prepare them for success in algebra. One of the reasons for this assertion is the degree to which the ratio table is a visual representation – a structural model – that embodies numerous mathematical concepts and relationships. The ratio table promotes proportional reasoning, makes use of equivalent fractions, can be a model for percents, functions as a double number line, and can be an elegant computational tool in contexts that require both multiplication and/or division.
- Thinking Mathematically About Multiplication (PDF)$15