This article describes a problem-centered curriculum for grades 9-12, using problem sets developed by a mathematics department and designed to take the place of textbooks. The students discover mathematical concepts in the context of the problems and activities in the materials.

The paper starts from classroom situations about the study of a functional relationship with help of technological tools as a "transposition" of experimental approaches from research mathematical practices. It considers the limitation of this transposition in existing curricula and practices based on the use of non-symbolic software like dynamic…

Views of mathematical modeling in empirical, expository, and curricular references typically capture a relationship between real-world phenomena and mathematical ideas from the perspective that competence in mathematical modeling is a clear goal of the mathematics curriculum. However, we work within a curricular context in which mathematical…

This paper provides an overview and research summary of Direct Instruction (DI) mathematics programs, specifically "DISTAR Arithmetic I" and "II" (Engelmann & Carnine, 1975, 1976), "Corrective Mathematics" (Engelmann & Carnine, 1982), and "Connecting Math Concepts" (CMC; Engelmann, Carnine, Kelly, & Engelmann, 1996a). A comparison of the…

"Cognitive Tutor[R]", a full-year course, covers organizing single variable data, simplifying linear expressions, mathematical modeling, solving systems with linear equations, problem-solving using proportional reasoning, and powers and exponents. Students work at their own pace to develop problem-solving skills. The duration of each…

Riordan and Noyce (2001) report that schools that used the Connected Mathematics Project (CMP) for two to three years had greater gains in math achievement overall than those in the comparison group. Riordan and Noyce do not report whether this difference was statistically significant. However, t tests calculated by the WWC using data provided by…

This study took place at Skaneateles High School in Skaneateles, New York in a grade 10 Integrated Math AB course with 52 students in 3 sections using the TI-84 Plus family graphing calculators and the TI-Navigator classroom learning system with a projector and interactive whiteboard. New York State is phasing in a new curriculum that integrates…

This study focuses on some Iranian high school mathematics teachers' beliefs about the nature of mathematics, its teaching and learning within two theoretical frameworks, Absolutist Traditional Beliefs and Constructivist Non-Traditional Beliefs. Almost 100 high school mathematics teachers in district 1 of education department of Tehran filled out…

Because of the complex interaction between economic class and learning, improving mathematics education for all while narrowing achievement gaps is no simple task. As a young teacher, the author conducted action research to determine how low-SES and high-SES 7th graders responded to a problem-centered mathematics curriculum. To her dismay, she…

In 2001, the Conference Board of the Mathematical Sciences (CBMS) published "The Mathematical Education of Teachers" (MET) outlining detailed recommendations for the instruction of future mathematics teachers. One focus of MET is that teachers need a thorough understanding of the mathematics covered at the level at which they are…

A sense of number is now generally recognised as a central factor in learning, and later applying, mathematics. Consequently, number sense is increasingly emphasised in curriculum documentation related to mathematics. The "Primary School Curriculum: Mathematics," published by the Government of Ireland in 1999, is no exception. It…

This article describes an ethnographic study of the process of collecting, transcribing, translating, retelling, and adapting of a traditional Yup'ik story for a children's bilingual picture book, which is part of a culturally based math curriculum project, Math in a Cultural Context (MCC). The article opens with an overview of MCC and the role…

This study focused on the meaning of measurement to a group of 16 first grade students. A university professor and the teacher of the students partnered together using qualitative analysis of field notes, student interviews, and student work samples gathered from September through May of a school year. Findings indicate students' knowledge of…

The What Works Clearinghouse (WWC) looked at elementary school math curricula designed to promote math knowledge and skills among elementary school students (average ages 5 to 10 years). Curricula included in this review are replicable, materials-based instructional programs that cover one or more of the following content areas: numbers,…

The "Connected Mathematics Project" ("CMP)" is a problem-centered mathematics curriculum designed for all students in grades 6-8. Each grade level of the curriculum is a full-year program and covers numbers, algebra, geometry/measurement, probability, and statistics. The program seeks to make connections within mathematics,…