Discover how the study of repeating patterns and number sequences can lead to ideas of functions, learn how to read tables and graphs to interpret phenomena of change, and use algebraic notation to write function rules.

(Orginally published in 2008) The goal of AMTE Monograph 4, "Cases in Mathematics Teacher Education: Tools for Developing Knowledge Needed for Teaching", is to provide detailed accounts of case use that will inform the mathematics teacher education community on the range of ways in which cases can be used to foster teacher learning and the capacity to reflect on and learn from teaching. The chapters in this monograph describe the use of cases with preservice and practicing teachers at all levels K - 12, in content and methods courses as well as professional development settings, and focus on developing various aspects of teachers' knowledge base (i.e., content, pedagogy, and students as learners). Hence, Monograph 4 should prove to be a superb resource for mathematics teacher educators.

Virtually every national standards document, every state framework, and every local set of standards calls for fundamental changes in what and how teachers teach. The challenge for teachers is to implement the vision for mathematics and science classrooms called for in the standards. This issue describes that vision and suggests ways to use the standards mandated in your school to improve your practice--to help you teach in your standards-based classroom.

A long-awaited workbook companion to Monica McGoldrick’s highly successful textbook Genograms. This clinical companion to the bestselling Genograms: Assessment & Intervention uses case examples to articulate the most effective ways to use genograms in clinical practice. Widely utilized by family therapists and health care professionals, the genogram is a graphic way of organizing the mass of information gathered during a family assessment and finding patterns in the family system for more targeted treatment. For a client with cutoff relationships or a history of trauma, it can be hard to talk to a therapist about past and present relationships. Genograms are a non-intrusive and non-confrontational way to learn about a client's history and chart crucial, complex information for effective assessment and therapy. The Genogram Casebook deploys richly detailed case examples to address resistance to genograms, overcoming dysfunctional relationship patterns, working with couples, navigating issues of divorce and remarriage, using genograms in family sessions with children, repairing conflict and cutoff with family members, looking at the therapist's own family, and much more. It's a vibrantly practical, decisively essential guide to the use of genograms in mental health practice.