This report resulted from work with primary grade children and teachers in Kankakee, Illinois. Essays by four resource persons and two observers are included, each expressing insights and feelings in order to share ideas with resource persons for primary mathematics teaching in other schools. A main objective is to represent the ways elementary school teachers think while teaching mathematics. The essays consider: general comments on learning and working with teachers, some difficulties experienced in teaching mathematics, classroom etiquette or management, a lesson on multiplication with fractions, lessons with Cuisenaire rods, equity in mathematics education, an overview of instructional policy, an in-service teacher training project, an idea about the mode of learning school requires, a report about a lesson on numeration, developing schema when teaching place value, and suggestions for resource persons. A list of references is included. (MNS)