Routledge Using Assessment To Reshape Mathematics Teaching: A Casebook for Teachers and Teacher Educators, Curriculum and Staff Development Specialists (Studies in Mathematical Thinking and Learning Series)

This casebook is intended to support professionals who are working in a variety of contexts to use classroom-based assessment more effectively to support teacher learning and teaching change, and to enhance the opportunities for all students to develop mathematical power. It grows out of a collaboration of mathematics teachers and teacher educators, and mathematicians, to better understand the role of assessment as an ongoing activity to help teachers reshape their own teaching practices. At the heart of each case is using assessment to make sense of what students understand and what they are confused about, deciding what counts as evidence of that understanding, and using the analysis to consider what the teacher's next instructional moves might be. All of the cases in this volume are built around actual episodes from mathematics classrooms. Intended as decision-making exercises, they present the raw data of classroom events in a straightforward way and are designed to stimulate analysis and reflection; provoke various and sometimes conflicting interpretations of an event; bring to the fore deeply held beliefs of beginning and experienced teachers so they can be reconsidered; and engage professionals in pedagogical problem solving in the context of complex classroom settings. This volume reflects the growing interest in cases as a pedagogical tool in teacher professional development. The cases are organized to take up key themes of the NCTM Professional Teaching Standards in ways that will assist and support teachers, teacher educators, and curriculum and staff development specialists in learning to assess and in linking assessment with curriculum, teaching, and learning. Although each case contains many ideas for linking assessment with curriculum and instruction, the most powerful use of these materials resides in their design intended to foster conversations among groups of professional colleagues. The editors' field-testing of the cases--in Review "The amount, depth, and timeliness of the materials and their level of quality in respect to the mathematics and pedagogy involved are excellent. The written text is clear and relevant to current issues, theory, and practice from a constructivist perspective, emphasizing the importance of discourse in learning....These materials would be an excellent resource for a series of workshops on using assessment for improving the teaching and learning of mathematics."―Horizon Research Inc."The book is well structured and would be easy to use. Each of the case narratives is well written and contains good questions that have the potential to promote rich discussion about teaching and learning mathematics....The set would be a good resource for those involved in teacher education and staff development."―Mathematics Teaching in the Middle School"The casebook grew out of a 4-year collaborative project that brought together a group of mathematics teachers, mathematics educators, and mathematicians to learn more about how assessment can be used by teachers to improve their teaching and their students' learning....A unique feature of each case is the summary of deliberations that took place within the project team meeting around the data teachers brought documenting events in their classrooms."―Zentralblatt fur Didaktik der Mathematik"Well organized for easy use by the instructor--the questions that accompany each case focus the discussion on the important issues....Perfect for any course or presentation about the [NCTM] standards in that it gives the rather abstract standards a context....The power of the book is that readers can see and hear students engaged with a task or with their teacher in discussion of mathematical ideas."―Mary Lynn RaithPittsburgh Public Schools"A readable, accessible book...for preservice teachers in mathematics methods courses and for practicing teachers in graduate courses or in-service workshops. The cases provide an ideal jumping