
Hands-on, Practical Guidance for Educators
From math,
literacy, equity, multilingual learners, and SEL, to assessment, school counseling,
and education leadership, our books are research-based and authored by experts
on topics most relevant to what educators are facing today.
Facilitator's Guide to Ways to Think About Mathematics
CD-ROM is PC and Mac compatible and not sold separately.
- Grade Level: PreK-12
- ISBN: 9781412905206
- Published By: Corwin
- Year: 2004
- Page Count: 144
- Publication date: October 06, 2004
Price: $58.95
Description
Facilitating mathematical investigations with teachers will help improve their teaching!
Because a student's learning depends so heavily on teacher quality, districts and state departments of education, colleges, and universities are called upon to strengthen their teacher preparation and professional development programs. Yet college mathematics courses are often criticized for being disconnected from the mathematics that teachers are asked to teach. The Facilitator's Guide to Ways to Think About Mathematics is designed to close this gap.
National and state standards and frameworks suggest that mathematical investigation, problem solving, and exploratory learning should play a central role in mathematics lessons. It is therefore necessary for teachers to experience mathematical explorations as learners themselves, which places new demands on professional development facilitators and preservice educators. This guide provides resources for facilitators to use while they are planning and implementing courses and workshops using Ways to Think About Mathematics.
This guide and the accompanying CD-ROM contain:
- Commentary on the activities
- Pedagogical suggestions (materials sequencing, promoting active participation, adapting to the needs of particular teachers)
- Various solution strategies
- Additional reading and problems tied to the content of the main text
- Sample solutions for all problems and discussion questions
Ways to Think About Mathematics and the Facilitator's Guide will provide staff developers, preservice educators, and math department chairs with all the necessary tools to provide high-quality staff development in secondary mathematics. The materials were funded by the National Science Foundation and successfully field-tested in a wide variety of professional development and preservice settings.
CD-ROM is PC and Mac compatible and not sold separately.
See Ways to Think About Mathematics
Ways to Think About Mathematics Kit
Author(s)

Steve Benson

Susan Addington

Nina Arshavsky

Al Cuoco

E. Paul Goldenberg

Eric Karnowski
Eric Karnowski is a senior mathematics associate at Education Development Center (EDC) in Massachusetts. He has worked in mathematics education for 25 years, initially as a teacher, then as a textbook editor, and finally as a curriculum developer and teacher professional development provider. Since joining EDC, he has directed the development of the K–5 program Think Math! and written numerous activities for the award-winning Problems with a Point website. He directed projects to develop several online teacher professional development courses for PBS TeacherLine, Louisiana Algebra 1 Online Professional Development, and most recently, the National Board of Professional Teaching Standards in both mathematics and science. In addition, he was a contributing author on Ways to Think about Mathematics and the MathScape curriculum.
Prior to joining EDC, Karnowski had the distinct privilege to edit influential secondary textbooks for Janson Publications and Everyday Learning, including Contemporary Mathematics in Context by the Core-Plus Mathematics Project, Contemporary Calculus by the North Carolina School of Science and Mathematics, and Impact Mathematics by EDC. He received a B.S. in Liberal Arts (honors mathematics) and an M.S. in Mathematics, both from the University of Tennessee, Knoxville. He currently lives in Boston with his husband, Mark, and two large cats, Endora and Tabitha.
Table of Contents
Introduction: Notes to the Facilitator
1. What is Mathematical Investigation?
2. Dissections and Area
3. Linearity and Proportional Reasoning
4. Pythagoras and Cousins
5. Pascal's Revenge: Combinatorial Algebra