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January 2008, Volume 39, Issue 1

FEATURES

A Brief Report: An Existence Proof: Successful Joint Implementation of the IMP Curriculum
Steven L. Kramer and Regina Keller
This “Brief Report” summarizes results from a study that investigated joint effects of two innovations adopted at a high school in an affluent suburban community in the northeast United States: 4 x 4 block scheduling and the Standards-based curriculum, the Interactive Mathematics Program (IMP).

What Students Notice as Different Between Reform and Traditional Mathematics Programs
Jon R. Star, John P. Smith III, and Amanda Jansen
Research on the impact of Standards-based mathematics and reform calculus curricula has largely focused on changes in achievement and attitudes, generally ignoring how students experience these new programs. This study was designed to address that deficit. As part of a larger effort to characterize students’ transitions into and out of reform programs, we analyzed how 93 high school and college students perceived Standards-based and reform calculus programs as different from traditional ones.

Teaching and Learning Fraction Addition on Number Lines
Andrew Izsák; Erik Tillema; Zelha Tunç-Pekkan
We present a case study of teaching and learning fraction addition on number lines in one sixth-grade classroom that used the Connected Mathematics Project Bits and Pieces II materials. Our main research questions were (1) What were the primary cognitive structures through which the teacher and students interpreted the lessons? and (2) Were the teacher’s and her students’ interpretations similar or different, and why? The data afforded particularly detailed analyses of cognitive structures used by the teacher and one student to interpret fractions and their representation on number lines.

Curriculum Use While Learning to Teach: One Student Teacher’s Appropriation of Mathematics Curriculum Materials
Gwendolyn Lloyd
This article describes one student teacher’s interactions with mathematics curriculum materials during her internship in a kindergarten classroom. Anne used curriculum materials from two distinct programs and taught lessons multiple times to different groups of children. Although she used each curriculum in distinct ways, her curriculum use was adaptive in both cases. Anne’s specific ways of reading, evaluating, and adapting the curriculum materials contrast with previous results about beginning teachers’ curriculum use. Several key factors appeared to contribute to Anne’s particular ways of using the curriculum materials: features of her student-teaching placement, her personal resources and background, and characteristics of the materials.