This paper describes a pilot study which is part of a larger research project into theories underpinning the teaching and learning of early mathematics in Hong Kong. In this pilot study we focus on the relationship between teachers' beliefs and their instructional practice in pre-school and lower primary school. Findings reveal that there were…

The focus of this study was to investigate mental computation conceptual frameworks that Heirdsfield (2001c) formulated to explain the difference between proficient (accurate and flexible) mental computers and accurate (but not flexible) mental computers. A further aim was to explore the potential for students' developing efficient mental…

Gather students and jump back in time to experience what life was like "back then." Through this book, during each day of immersion, students rotate through 14-18 stations of math and vocabulary activities, games, crafts, costumes, and food. Explore legends, songs, maps, and historical events along the way to understand specific times…

This paper defines what it means to be a community of learners in mathematics and examines this concept in light of the National Council of Teachers of Mathematics (NCTM) standards. Robust sharing of mathematics, which is a way of analyzing student mathematical sharing in a community of learners, is presented here. Robust sharing of mathematics is…

This digest focuses on reforming mathematics instruction for English-as-a-Second-Language (ESL) students who have had limited or interrupted schooling in their first language. These students--referred to as ESL literacy students--must learn in a linguistically and culturally unfamiliar environment, construct understanding without the background…

This paper further develops an instructional method called here "process-object linking and embedding". The idea is to link the familiar mathematical processes to objects in a familiar situation, then re-embed the new link through mathematical symbols into their mathematical construction. It makes use of children's extra-mathematical,…

Developed as part of the "Read to Succeed" program that has helped children improve literacy for more than 10 years, this tutor's manual presents information to help tutors help children acquire not only the essential skills of literacy, but also the enjoyment of reading and self-expression. The first part of the manual contains the program goals,…

This book traces Annabelle the dairy cow's milk from the farm to the top of a Friday night pizza. The book relates that when Annabelle gives birth to her calf she also begins to produce milk; the milk is then processed into cheese, and from the cheese, pizza is made (recipe included). The book features color photographs of the entire process which…

The purpose of this report is to provide performance data on Iowa's adult basic education (ABE) target populations based on the Comprehensive Adult Student Assessment System (CASAS) Employment Competency System Appraisal Form 130 in the areas of reading and mathematics. This report is designed to supplement the data reported in the study titled,…

This report describes a workshop on developing a set of three introductory mathematics courses using new pedagogical techniques and computer technology. The courses provide underprepared students with multiple entry points into the study of mathematics and serve as a gateway for students' continued study of mathematics. These workshop courses in…

This handbook describes a model for providing professional development time for teachers by matching them up with volunteers from local industries who regularly replace them in the classroom. This industry volunteer model offers a way for business and industry to support professional development for local classroom teachers by contributing a…

Within the framework of social reconstructivism and multicultural education, this paper explores issues of teaching mathematics, and to a lesser degree, science, to provide the best equitable education for all students. Today's classrooms are increasingly multicultural, and students bring to their classrooms rich personal, social, intellectual,…

This project developed materials for an innovative new approach to calculus for students in business, economics, liberal arts, management, and the social sciences. With the focus on rates and accumulation of change and their interpretations in real life situations, the materials are data driven, technology based, and feature a unique modeling…

This paper explores a framework for research on the development of the angle concept based on theories of abstraction. The framework suggests that children initially acquire a body of disconnected angle knowledge situated in everyday experiences, group the situations to form angle contexts, and then form an abstract angle concept. The framework is…

Hierarchical linear modeling was used to examine the effects of individual and classroom level factors on reported value of mathematics for students (n=557) in grades three, four, and six. Data for this study came from the "Childhood and Beyond" study. Results indicated that the use of computers and computer efficacy were both positively related…