Discusses the use of writing to enhance learning in mathematics from a conceptual development perspective. Shuell's phases of learning are described as a general model for conceptual development and subsequently matched with Britton's categories for transactional-informative writing. Sample mathematics assignments for each writing category are…

A range of factors has impinged on the provision of teacher education programs in the last decade. Largely emanating from governmental demands for increased accountability, these have included the setting of standards for student achievement, proof of program impact, and state and national testing. These legislative reforms and school district…

Educators recognize that group work and physical involvement with learning materials can greatly enhance the understanding and retention of difficult concepts. As a result, math manipulatives--such as pattern blocks and number lines--have increasingly been making their way into classrooms and children's museums. Yet without the constant guidance…

This paper presents a new model for simulating procedural knowledge in the problem solving process with our ontological system, InfoMap. The method divides procedural knowledge into two parts: process control and action performer. By adopting InfoMap, we hope to help teachers construct curricula (declarative knowledge) and teaching strategies by…

The purpose of this study was to examine problem-based learning (pbl) and how students in the middle grades math and science classroom perceived its effectiveness. Analysis of student perceptions of changes in their learning processes and self-efficacy was analyzed through student interviews. Data identified the components of changes in students'…

Rather than focusing on teaching teachers, university researchers helped local teachers study what students thought about math and science ideas--with powerful results. As teachers understood what students were thinking, they modified their practices to promote deeper understanding. Their collaboration created bottom-up change.

The paper describes the use of a spreadsheet in a mathematics teacher education course. It shows how the tool can serve as a link between seemingly disconnected mathematical concepts. The didactical triad of using a spreadsheet as an agent, consumer, and amplifier of mathematical activities allows for an extended investigation of simple yet…

This paper contributes to the literature on the effectiveness of schools. The analysis is unique in using data on the minutes of instruction per day in each of four subjects taught in the public elementary schools in Illinois. Few education production function papers have information on the amount of instruction students receive in a given…

This study examined activities used during elementary school math and reading instruction. Teachers reported their use of cooperative, competitive, and individual activities in math and reading, their subjective evaluations of teaching each subject, and their level of focus on promoting students' interests. Analyses indicated that teachers used…

The intention of this study is to explore mathematical discourse and teaching methods in Grades 6 and 7 of primary school in the Eastern Cape Province of South Africa. The school's student population changed from predominately white English/Afrikaans-speaking learners before the 1994 election to predominately black Xhosa-speaking students in…

This article describes the collaboration between an eighth grade teacher and two college professors in the design and implementation of in vivo field experiences that help preservice secondary school mathematics teachers connect theories of learning with instructional practice.

Understanding abstract concepts and ideas in mathematics, if instruction takes place in the first language of the student, is difficult. Yet worldwide students often have to master mathematics via a second or third language. The majority of students in South Africa--a country with eleven official languages--has to face this difficulty. In a…

"Houghton Mifflin Mathematics" is a core curriculum for kindergarten through grade 6 students at all ability levels. According to its developer, "Houghton Mifflin Mathematics" emphasizes the five content strands and processes recommended by the National Council of Teachers of Mathematics Standards. At each grade level the…

The 2009 edition of the "State Teacher Policy Yearbook" is the National Council on Teacher Quality's (NCTQ's) third annual review of state laws, rules and regulations that govern the teaching profession. This year's report is a comprehensive analysis of the full range of each state's teacher policies, measured against a realistic…

The Idaho edition of the National Council on Teacher Quality's (NCTQ's) 2009 "State Teacher Policy Yearbook" is the third annual look at state policies impacting the teaching profession. It is hoped that this report will help focus attention on areas where state policymakers can make changes that will have a positive impact on teacher…