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E-raamat: Embracing Reason: Egalitarian Ideals and the Teaching of High School Mathematics [Taylor & Francis e-raamat]

(Holt High School, Michigan, USA), (Washington Woods Middle School, Michigan, USA), (University of Maryland, USA)
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This book tells a single story, in many voices, about a serious and sustained set of changes in mathematics teaching practice in a high school and how those efforts influenced and were influenced by a local university. It includes the writings and perspectives of high school students, high school teachers, preservice teacher candidates, doctoral students in mathematics education and other fields, mathematics teacher educators, and other education faculty. As a whole, this case study provides an opportunity to reflect on reform visions of mathematics for all students and the challenges inherent in the implementation of these visions in US schools. It challenges us to rethink boundaries between theory and practice and the relative roles of teachers and university faculty in educational endeavors.

List of figures
xi
List of tables
xiii
Acknowledgments xiv
Preface xvi
1 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)
2 Assessment
15(11)
Mathematics performance assessment
15(7)
Alternative formats and a taxonomy of tasks
22(4)
3 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)
4 Another kind of planning
46(14)
Teacher as course-level planner
47(6)
Must teachers create curriculum? For every class?
53(7)
5 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)
6 Instructional tasks
78(10)
Finding mathematics in the world around us
79(6)
Getting past lame justifications!
85(3)
7 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)
8 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)
9 Standard-track classes
131(13)
Students' views of mathematical conversation
133(8)
Challenges of managing students' participation in classroom conversation
141(3)
10 Advanced coursework
144(16)
Developing an interest in mathematics
145(10)
What is "mathematical power"? and related dilemmas of teaching
155(5)
11 Interlude B observation in classrooms
160(11)
Field experience really was the best teacher!
162(6)
Our contrasting preservice field experiences
168(3)
12 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)
13 Time and respect
193(10)
Being treated (and treating ourselves) as professionals
195(5)
Thoughts from latecomers
200(3)
14 Restructuring teacher work
203(21)
Shared teaching assignments
207(13)
What do shared teaching assignments tell us about learning while teaching?
220(4)
15 Departmental culture
224(17)
One transformed teacher's viewpoint
225(13)
Elementary mathematics + a culture of questioning = complex mathematics
238(3)
16 Changing the math curriculum
241(16)
Teaching a technologically supported approach to school algebra
244(10)
Talking about what math is for
254(3)
17 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)
18 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)
19 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)
20 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)
21 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