SSM Table of Contents & Abstracts

Volume 104 (1), January 2004


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Table of Contents

Beatriz S. DâAmbrosio

William J. Boone

Shelly Sheats Harkness

5  

Planning District-Wide Professional Development: Insights  Gained From Teachers and Students Regarding Mathematics Teaching in a Large Urban District

Patricia S. Moyer 

M. Gail Jones 

16 

Controlling Choice: Teachers, Students, and Manipulatives in Mathematics Classrooms

 

Laura Jacobsen Spielman

Gwendolyn M. Lloyd

32 

The Impact of Enacted Mathematics Curriculum Models on Prospective Elementary Teachersâ Course Perceptions and Beliefs

Regular Features

Norman G. Lederman

Lawrence B. Flick

1  

        Publishing in School Science and Mathematics

S. Wali Abdi 

45

Book Reviews: Rockets; The Age of Reptiles; Geography Fun: Cool Activities and Projects for Young Explorers

Ted Eisenberg

48

Problems: 4803-4808

 Solutions to 4771-4777          

SSMemos

Guidelines

Inside Back Cover

SSM Publication Guidelines


Abstract

 

Planning  District-Wide  Professional  Development:  Insights  Gained  From  Teachers and  Students  Regarding  Mathematics  Teaching  in  a Large  Urban  District

 

Beatriz  S.  DâAmbrosio, Indiana   University   Purdue   University   Indianapolis    

William  J.  Boone , Indiana   University

Shelly  Sheats  Harkness, Miami   University

 

This  paper  describes  the  mechanism  used  to  gain  insights  into  the  state  of  the  art  of  mathematics  instruction  in  a  large  urban  district  in  order  to  design  meaningful  professional  development  for  the  teachers  in  the  district.  Surveys  of  close  to  2,000  elementary,  middle  school,  and  high  school  students  were  collected  in  order  to  assess  the  instructional  practices  used  in  mathematics  classes  across  the  district.  Students  were  questioned  about  the  frequency  of  use  of  various  instructional  practices  that  support  the  meaningful  learning  of  mathematics.  These  included  practices  such  as  problem  solving,  use  of  calculators  and  computers,  group  work,  homework,  discussions,  and  projects,  among  others.  Responses  were  analyzed  and  comparisons  were  drawn  between  elementary  and  middle  school  studentsâ  responses  and  between  middle  school  and  high  school  responses.  Finally,  fifth-grade  student  responses  were  compared  to  those  of  their  teachers.  Student  responses  indicated  that  they  had  fewer  inquiry-based  experiences,  fewer  student-to-student  interactions,  and  fewer  opportunities  to  defend  their  answers  and  justify  their  thinking  as  they  moved  from  elementary  to  middle  school  to  high  school.  In  the  elementary  grades  students  reported  an  overemphasis  on  the  use  of  memorization  of  facts  and  procedures  and  sparse  use  of  calculators.  Results  were  interpreted  and  specific  directions  for  professional  development,  as  reported  in  this  paper,  were  drawn  from  these  data.  The  paper  illustrates  how  student  surveys  can  inform  the  design  of  professional  development  experiences  for  the  teachers  in  a  district.

   

Controlling Choice: Teachers, Students, and Manipulatives in Mathematics Classrooms

 

Patricia S. Moyer , George Mason University    

M. Gail Jones ,   North Carolina State University

 

            This research study examines the instructional practices of 10 middle grades teachers related to their use of manipulatives in teaching mathematics and their control of mathematics tools during instruction. Through 40 observations of teaching, 30 interviews, and an examination of 67 written documents (including teachersâ plans and records), profiles were developed that describe how teachers used and controlled manipulatives during instruction. Results showed that teachers used a variety of manipulatives and other mathematics tools over the course of the year-long study. Teachers reported using a mathematics tool (manipulative, calculator, or measuring device) in 70% of their lessons, and this self-report was verified by observations in which teachers used mathematics tools in 68% of their lessons. During a 3- to 4-month period of ãfree access,ä in which students had some measure of control in their selection and use of the mathematics tools, the students used manipulatives spontaneously and selectively. During free access, teachers exhibited various behaviors, including posting lists of items on containers, assigning group leaders to manage tools, and negotiating the control of the mathematics tools during instruction.

   

The Impact of Enacted Mathematics Curriculum Models on Prospective Elementary Teachersâ Course Perceptions and Beliefs

 

Laura Jacobsen Spielman and Gwendolyn M. Lloyd

Virginia Polytechnic Institute and State University

 

This paper communicates the impact of prospective teachersâ learning of mathematics using novel curriculum materials in an innovative classroom setting. Two sections of a mathematics content course for prospective elementary teachers used different text materials and instructional approaches. The primary mathematical authorities were the instructor and text in the textbook section and the prospective teachers in the curriculum materials section. After one semester, teachers in the curriculum materials section (n = 34) placed significantly more importance on classroom group work and discussions, less on instructor lecture and explanation, and less on textbooks having practice problems, examples, and explanations. They valued student exploration over practice. In the textbook section (n = 19), there was little change in the teachersâ beliefs, in which practice was valued over exploration. These results highlight the positive impact of experiences with innovative curriculum materials on prospective elementary teachersâ beliefs about mathematics instruction.

 

 

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