Assuming that dynamic features of Dynamic Geometry Software may provide a basic representation of both variation and functional dependency, and taking Vygotskian perspective of semiotic mediation, a teaching experiment has been designed with the aim of introducing pupils to the idea of function. First data coming from the observations in Italian…

In this paper we will concentrate on pupils' self-confidence in mathematics, which belongs to pupils' mathematical beliefs in themselves, and beliefs on achievement in mathematics. Research described consists of a survey of more than 3000 fifth-graders and seventh-graders. Furthermore, 40 pupils participated in a qualitative follow-up study…

Nathan entered third grade having already constructed a Generalized Number Sequence (GNS) for whole numbers that enabled him to coordinate sequences of multiples to find a common multiple of two whole numbers. Nathan was able to apply the operations of his GNS to his understanding of part-whole relations and his emerging use of fractional…

In this paper we report an analysis of a teaching sequence in which Grade 11 students were asked to produce some graphs corresponding to the relationship between time and distance of a cylinder moving up and down an inclined plane. The students were also asked to carry out the experience using a TI 83+ graphic calculator equipped with a sensor,…

This study is to explore the potential of Fauconnier's mental space theory in understanding the teaching and learning processes of mathematics. Notions from cognitive linguistics have been introduced to research in mathematics education recently, but there have been little studies about what potential the framework of mental space has in…

Within an elaborated social-constructivist perspective, I conducted a teaching experiment with two fourth graders to study how a teacher and students can jointly produce the content-specific reversible fraction conception. Ongoing and retrospective analysis of the data revealed the non-trivial process by which students can abstract multiplicative…

This monograph chronicles a field-based investigation of children's learning in a second grade mathematics classroom over the course of a school year. The interrelated aspects of the processes by which children learn mathematics with meaning are illustrated here. The investigation was expanded to include a sociological analysis in an attempt to…

Chapters in this book address the problems faced in today's diverse neighborhoods, schools, and classrooms, as well as the opportunities diversity provides. The schools, teachers, administrators, families, and communities drawn on in these selections provide examples of the effective integration of what is known about achieving success for all…

This paper illustrates the themes of reflection and connection in teacher education by discussing the experiences and conceptions of one preservice teacher who was enrolled in a secondary mathematics methods course. Small groups of preservice teachers created hypermedia stacks to demonstrate their views on important issues in mathematics…

Changes in assessment practices are central to ongoing reform efforts in science and mathematics education. The education community is currently focused on new ways to measure, evaluate, and report students' progress toward standards and learning goals. The focus of this publication, using assessment for informing and improving instruction is not…

Designed as a reference for teaching mathematics in the workplace, this manual presents teaching strategies and activities for beginning, intermediate, and advanced learners in four mathematics-related topics. Following an overview of the manual's purpose, definitions are provided of the three skill levels targeted by the activities. Strategies…

Puzzles, games, and activities provide perfect opportunities for students to work in groups, interact, communicate with each other, and discuss strategies. The activities, games, and puzzles contained in this book are designed to help students learn mathematics in a fun yet challenging way. The activities are designed to encourage students to…

This practical guide to teaching reading offers activities to teach reading readiness and mathematics. It also discusses the reasons for reading to children, teaching phonics, and using the basal reader. The section on reading readiness focuses on the importance of such skills, and specific reading readiness skills such as visual discrimination,…

This book contains 50 hands-on activities representing most subjects taught at the secondary school level in the Caribbean. It lists the order of activities by chapter and name of each activity in the general table of contents. The first chapter, Investigating and Organizing Ideas, presents six activities and discusses semantic mapping, mind maps,…

Research on the use of computers and other educational technology with young children has become increasingly sophisticated as their use has increased in early childhood educational settings. This paper reviews the research on computers and social interaction, teaching with computers, and curriculum and computers. The review finds that computers…