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E-book: Embracing Reason: Egalitarian Ideals and the Teaching of High School Mathematics

(Washington Woods Middle School, Michigan, USA), (Holt High School, Michigan, USA), (University of Maryland, USA)
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Chazan (mathematics, U. of Maryland) and his co-authors, who are high school mathematics teachers, offer their perspectives on the changes wrought by reforms in mathematics teaching practice. Along with high school students, postdoctoral researchers, teachers and administrators and college faculty, they explain their thoughts and actions as they sought to improve and expand basic skills, retention, inquiry, and critical thinking. In this case study they describe how theory informed practice and vice versa in assessment, curriculum and instructional models, planning, instructional tasks and classroom roles. They closely explain their students' experiences (with lots of help from the students themselves) and their own professional growth. They also consider how reforms in mathematics teaching changed how their students thought and dealt with other disciplines and behaviors. Lawrence Erlbaum is an imprint of Taylor & Francis. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)
List of figures
xi
List of tables
xiii
Acknowledgments xiv
Preface xvi
Introduction to our case study
1(12)
Our goals and our own voices
2(2)
The importance of teacher development
4(1)
A school-university PDS two-way relationship
5(8)
PART I Changes in classroom teaching practice
13(96)
Assessment
15(11)
Mathematics performance assessment
15(7)
Alternative formats and a taxonomy of tasks
22(4)
Curriculum and instructional models
26(20)
Starting a functions-based approach to algebra
29(12)
Perspectives on Holt Algebra 1 from the department chair and a newer teacher
41(5)
Another kind of planning
46(14)
Teacher as course-level planner
47(6)
Must teachers create curriculum? For every class?
53(7)
Interlude A: on-campus preservice assignments
60(18)
Preservice teachers as curriculum makers
64(11)
Should preservice teachers be encouraged to create curriculum?
75(3)
Instructional tasks
78(10)
Finding mathematics in the world around us
79(6)
Getting past lame justifications!
85(3)
Classroom roles
88(21)
One teacher's transformation in teaching
89(16)
The vision thing
105(4)
PART II Student experience of the curriculum
109(78)
Lower-track classes
123(8)
From an E to an A with the help of a graphing calculator
125(3)
How important are calculators?
128(3)
Standard-track classes
131(13)
Students' views of mathematical conversation
133(8)
Challenges of managing students' participation in classroom conversation
141(3)
Advanced coursework
144(16)
Developing an interest in mathematics
145(10)
What is ``mathematical power''? And related dilemmas of teaching
155(5)
Interlude B: observation in classrooms
160(11)
Field experience really was the best teacher!
162(6)
Our contrasting preservice field experiences
168(3)
Interlude C: student teaching/internship
171(16)
What kind of teacher will I be?
173(9)
How do we talk with other teachers about our ``Holt'' experiences?
182(5)
PART III Professional growth and development
187(148)
Time and respect
193(10)
Being treated (and treating ourselves) as professionals
195(5)
Thoughts from latecomers
200(3)
Restructuring teacher work
203(21)
Shared teaching assignments
207(13)
What do shared teaching assignments tell us about learning while teaching?
220(4)
Departmental culture
224(17)
One transformed teacher's viewpoint
225(13)
Elementary mathematics+a culture of questioning-complex mathematics
238(3)
Changing the math curriculum
241(16)
Teaching a technologically supported approach to school algebra
244(10)
Talking about what math is for
254(3)
Learning from students and colleagues
257(23)
Questioning ourselves and the authorities
258(17)
Should we ever tell mathematical white lies to our students?
275(5)
Interlude D: learning math from coursework conversation
280(18)
Lines and points: Aristotle vs. modern mathematics
281(13)
A chance to disagree about math
294(4)
Participation in teacher education
298(17)
Becoming a professional teacher; being a mentor teacher
300(12)
The hard work of being a mentor teacher
312(3)
Graduate study
315(20)
Theory is practical!
316(14)
Views of mathematics and teaching mathematics
330(5)
PART IV Stepping back: the perspective of a local ``outsider''
335(17)
A quiet revolution?
337(15)
Reflecting on mathematics reform at Holt High School
337(15)
Epilogue 352(3)
Cast of characters 355(4)
Notes 359(2)
References 361(8)
Index 369
Daniel Chazan, Sandra Callis, Michael Lehman