The typical introductory programming course is not an appropriate first computer science course for many students. Initial experiences with programming are often frustrating, resulting in a low rate of successful completion, and focus on syntax rather than providing a representative picture of computer science as a discipline. The paper discusses…

A mental model is a knowledge structure composed of concepts and the relations between them. Mental models are distinct from declarative and procedural knowledge--they go beyond semantic relationships and skills acquisition and contain varied intellectual skills and knowledge. This study describes an initial investigation into the construct…

This book presents a numerical problem-solving environment for middle grade students using the computerized spreadsheet. It offers a package of spreadsheet models and suggested activities that promote student thinking with numbers. (ASK)

Proposes activities that promote students' awareness of the structure of the information involved in their everyday activities, and builds the concept of function from students' mental representations of phenomena. Recommends the use of spreadsheets to provide external representations of these functions. (DDR)

Describes how a software package that includes a spreadsheet, a relation grapher, and a dynamic geometry can contribute to teacher training through an exploratory problem-solving course. Discusses the ways in which technology-rich environments enhance and extend traditional topics. Contains 17 references. (DDR)

Addresses the early stages of children's introduction to the use of variables in formal algebraic notation. Describes a teaching approach that aims to situate the use of formal notation in meaningful contexts. Presents a study of a teaching sequence based on children working with this approach using graphical feedback in problem solutions. (AIM)

We describe two classes of sequences that give rise to accessible problems for undergraduate research. These problems may be understood with virtually no prerequisites and are well suited for computer-aided investigation. The first sequence is a variation of one introduced by Stephen Wolfram in connection with his study of cellular automata. The…

This paper describes a National Science Foundation-sponsored project at Louisiana Technological University to develop computer-based laboratories for "hands-on" introductions to major topics of computer science. The underlying strategy is to develop structured laboratory environments that present abstract concepts through the use of…

The Purposeful Algebraic Activity project aims to explore the potential of spreadsheets in the introduction to algebra and algebraic thinking. We discuss two sub-themes within the project: tracing the development of pupils' construction of meaning for variable from arithmetic-based activity, through use of spreadsheets, and into formal algebra,…

When using spreadsheets to explore real-world problems involving periodic change, students can observe what happens at each period, generate a graph, and learn how changing the starting quantity or constants affects results. Spreadsheet lessons for high school students are presented that explore mathematical modeling, linear programming, and…

Focuses on the place of discrete mathematics in the grades 9-12 mathematics curriculum and discusses how the topic of recursion should be taught. Presents several examples of recursion involving LOGO, spreadsheets, sequences, Pascal's triangle, and the Tower of Hanoi to illustrate its teaching. (MDH)

Examines research on computers as cognitive enhancers, focusing on applications software that includes spreadsheets, graphing, and databases. Appropriate computer-based problem-solving environments for young children are reviewed, and implications for teachers are suggested. (Contains eight references.) (LRW)

Discusses the use of microcomputer applications software in education, reviews the literature involving studies on the development of problem-solving skills and on the instructional use of spreadsheets, and describes a project for secondary school students using spreadsheets that provides cognitive support. (Contains 35 references.) (LRW)

Technology offers tools and information that students need to explore real-world mathematical connections and investigate questions reflecting their own interests. This article illustrates how students can use technology to gather and interpret information, perform descriptive and graphical analysis, make statistical predictions, and create and…

Demonstrated in this article are some of the capabilities of a spreadsheet program using data obtained in gas law experiments and a computer interface system. The ability to organize and analyze data which a computer can provide for the student is emphasized. (KR)